# HG changeset patch # User boehmes # Date 1288800173 -3600 # Node ID 12a06ad29681e98607673987361782c97306e9a1 # Parent 5edeb5d269fae961560c1f55d814029d360b63e6 updated SMT certificates diff -r 5edeb5d269fa -r 12a06ad29681 src/HOL/Boogie/Examples/Boogie_Dijkstra.certs --- a/src/HOL/Boogie/Examples/Boogie_Dijkstra.certs Wed Nov 03 16:44:38 2010 +0100 +++ b/src/HOL/Boogie/Examples/Boogie_Dijkstra.certs Wed Nov 03 17:02:53 2010 +0100 @@ -1,4 +1,4 @@ -a959f1dced399224414912ad7379705a61749faa 6889 0 +6752602a8162146a4b4b0b817f42d730f1852d5d 6889 0 #2 := false decl f11 :: (-> S5 S2 S1) decl ?v1!7 :: (-> S2 S2) diff -r 5edeb5d269fa -r 12a06ad29681 src/HOL/Boogie/Examples/Boogie_Max.certs --- a/src/HOL/Boogie/Examples/Boogie_Max.certs Wed Nov 03 16:44:38 2010 +0100 +++ b/src/HOL/Boogie/Examples/Boogie_Max.certs Wed Nov 03 17:02:53 2010 +0100 @@ -1,4 +1,4 @@ -16ee32e23503be38842c16c90807e66120a960ee 2224 0 +dea36391893064c022de7bc923e15ef446cb4303 2224 0 #2 := false #8 := 0::int decl f5 :: (-> int int) diff -r 5edeb5d269fa -r 12a06ad29681 src/HOL/Boogie/Examples/VCC_Max.certs --- a/src/HOL/Boogie/Examples/VCC_Max.certs Wed Nov 03 16:44:38 2010 +0100 +++ b/src/HOL/Boogie/Examples/VCC_Max.certs Wed Nov 03 17:02:53 2010 +0100 @@ -1,4 +1,4 @@ -5815fb85125ba62bb3b4a150604c8978e5a08a22 7862 0 +9e8f6c5e5fd53eee967069dced75f48858a605e7 7862 0 #2 := false decl f111 :: (-> S4 S5 int) decl f67 :: (-> S5 int S3 S5) diff -r 5edeb5d269fa -r 12a06ad29681 src/HOL/Multivariate_Analysis/Integration.certs --- a/src/HOL/Multivariate_Analysis/Integration.certs Wed Nov 03 16:44:38 2010 +0100 +++ b/src/HOL/Multivariate_Analysis/Integration.certs Wed Nov 03 17:02:53 2010 +0100 @@ -1,4 +1,4 @@ -19e9a49723add29f06290682aca290aa2ab968ea 238 0 +2e15025784d0676586e79b418a67bcb9811380a1 238 0 #2 := false #48 := 0::real decl f19 :: (-> S3 S10 real) @@ -237,7 +237,7 @@ #486 := [unit-resolution #460 #485]: #453 [th-lemma #479 #259 #257 #474 #258 #486]: false unsat -96c3a1d2dea133da23272bb1832adcfffc19c650 333 0 +4c0d1f43a6268b5d3a850361d3ff86d073eaf489 333 0 #2 := false #11 := 0::real decl ?v2!1 :: real @@ -571,7 +571,7 @@ #408 := [lemma #407]: #230 [th-lemma #406 #301 #408 #396 #303]: false unsat -d083434592d4f729dd1c100279aa204b663fa35c 57 0 +40822b724c71d6702c01ad1e865c13dca0ab3c21 57 0 #2 := false decl f13 :: (-> S4 S4 S5) #44 := (:var 0 S4) @@ -629,7 +629,7 @@ #264 := [quant-inst]: #263 [unit-resolution #264 #269 #258]: false unsat -93a3d21a7f84dc839f14b9a0cfcafdfff6c6b0f1 318 0 +ae79dfdacb760a3554ce388b846d335064f674de 318 0 #2 := false #25 := 0::real decl f8 :: (-> S4 S2 real) @@ -948,7 +948,7 @@ #622 := [th-lemma]: #621 [unit-resolution #622 #619 #604]: false unsat -26bfbe5c6decad8b4a2114b85a11ff3552d6b060 295 0 +4c36877468848170cffdf0ddcda5eb522e99ab42 295 0 #2 := false #25 := 0::real decl f8 :: (-> S4 S2 real) @@ -1244,7 +1244,7 @@ #694 := [th-lemma]: #693 [unit-resolution #694 #691 #677]: false unsat -5d75e298a98eb55cd39dacd22665bd3062cf5345 204 0 +f2fb6a78bd5ef0d3bd81c73f0edb01f05b9ead4b 204 0 #2 := false #46 := 0::real decl f5 :: (-> S3 S2 real) @@ -1449,7 +1449,7 @@ #533 := [unit-resolution #532 #153]: #473 [th-lemma #533 #529 #514]: false unsat -7b235442f6856a575f67cb04d6eaa03042f5336e 870 0 +c57edc9b53558e5e0a7337a056a91568e455bc48 870 0 #2 := false #11 := 0::real decl f5 :: real diff -r 5edeb5d269fa -r 12a06ad29681 src/HOL/SMT_Examples/SMT_Examples.certs --- a/src/HOL/SMT_Examples/SMT_Examples.certs Wed Nov 03 16:44:38 2010 +0100 +++ b/src/HOL/SMT_Examples/SMT_Examples.certs Wed Nov 03 17:02:53 2010 +0100 @@ -1,13 +1,4 @@ -d4b1481d70f20d4d6280999633c905e21d180d13 8 0 -#2 := false -#1 := true -#8 := (not true) -#26 := (iff #8 false) -#27 := [rewrite]: #26 -#25 := [asserted]: #8 -[mp #25 #27]: false -unsat -a38979487be0aafcf2d387180e92dfd3bd43e483 33 0 +24d44e2684a632b0246b194cc850faec2cea7de6 33 0 #2 := false decl f1 :: S1 #4 := f1 @@ -41,7 +32,16 @@ #29 := [asserted]: #12 [mp #29 #49]: false unsat -fd75276ee28b486a6ea1b6b677d04008959d13f8 37 0 +1b7b7e7109fa2efdf94c204be8d611210920badb 8 0 +#2 := false +#1 := true +#8 := (not true) +#26 := (iff #8 false) +#27 := [rewrite]: #26 +#25 := [asserted]: #8 +[mp #25 #27]: false +unsat +10a83d48b539d27c174c61f5874470265d21b40f 37 0 #2 := false decl f1 :: S1 #4 := f1 @@ -79,7 +79,7 @@ #29 := [asserted]: #12 [mp #29 #53]: false unsat -58aaefc3b25d8181c01a2139430686aeca861bf3 66 0 +060c210941c0fd9eca58c8250fc66d664e976010 66 0 #2 := false decl f4 :: S1 #10 := f4 @@ -146,9 +146,9 @@ #71 := [and-elim #69]: #40 [mp #71 #85]: false unsat -a3969d96ad7c1fdd20f7d69abeb13b18bac4be8d 1 0 -unsat -694292afe609b4087c0435b347aed1c0c0b6b45b 94 0 +b0eed80076353895afe2bbf37d588b79cf593079 1 0 +unsat +d37af75fba79a43c8aa95dbef345ea660c999f99 94 0 #2 := false decl f1 :: S1 #4 := f1 @@ -243,7 +243,7 @@ #39 := [asserted]: #22 [mp #39 #108]: false unsat -fcb0f1f1909bdd097de1e485a000708289f9f1ed 72 0 +b3ee7b71753d028d8ffbc5d42df5f0f79660f6e7 72 0 #2 := false decl f1 :: S1 #4 := f1 @@ -316,7 +316,7 @@ #36 := [asserted]: #19 [mp #36 #88]: false unsat -36c95d1da5779fd86d36cb33e0f80e4f14e6c4f0 234 0 +b6f4097a3d567e9383135805312389841b9ed5f3 234 0 #2 := false decl f6 :: S1 #14 := f6 @@ -551,7 +551,7 @@ #96 := [mp #69 #95]: #91 [mp #96 #299]: false unsat -44ca45de077963316e54f5cdfef5cb8cd66ac906 52 0 +75e07bc80c3184013212c0a5c60b827b399474ad 52 0 #2 := false decl f4 :: (-> S2 S2 S2) #16 := (:var 1 S2) @@ -604,7 +604,7 @@ #118 := [quant-inst]: #204 [unit-resolution #118 #53 #541]: false unsat -f79d03683394ca6e785cbd8e87f4249c3d42307a 2578 0 +836f826330ec23da3f93f44a06ef6c00563d7781 2578 0 #2 := false decl f35 :: S1 #112 := f35 @@ -3183,7 +3183,7 @@ #3638 := [unit-resolution #705 #3637 #3636 #3635]: #683 [unit-resolution #1968 #3638 #3634]: false unsat -3221f6bae508cb0c6bc508c2b8b4600cdb00669d 95 0 +49266526e51dee0fe0083e5120f86525e2ef1056 95 0 #2 := false decl f3 :: (-> int S1) decl ?v0!0 :: int @@ -3279,7 +3279,7 @@ #102 := [and-elim #101]: #76 [unit-resolution #102 #115]: false unsat -517d7705593795e4a28f7687bc92edbaaad5e6a6 146 0 +107e72fe657296bfbc7688086b83c6164eff0b08 146 0 #2 := false decl f3 :: (-> S1 S2 S1) #9 := (:var 0 S2) @@ -3426,7 +3426,7 @@ #261 := [quant-inst]: #256 [unit-resolution #261 #584 #284]: false unsat -f7796908cca3a39a93067ec7456dca4edfe09069 146 2 +2bb8a8ad07066951b9c2ff8c6c6ea8a4b3a62bfc 146 2 #2 := false decl f3 :: (-> S1 S2 S1) #9 := (:var 0 S2) @@ -3575,7 +3575,7 @@ unsat WARNING: failed to find a pattern for quantifier (quantifier id: k!13) -3d560cfeafa07e8fb4e5aedbf244ed81193a1bdd 91 0 +3415c51851ea95b52ee39d82ddb23d7a42cd9b2f 91 0 #2 := false decl f3 :: (-> S2 S1) decl f4 :: S2 @@ -3667,7 +3667,7 @@ #162 := [quant-inst]: #248 [unit-resolution #162 #582 #79]: false unsat -6f4135b5f443c9489ab6f839e6371eb6c05021a1 17 0 +44eecf236b490147dbc51a13ab3759021603fcea 17 0 #2 := false #8 := 3::int #9 := (= 3::int 3::int) @@ -3685,7 +3685,7 @@ #27 := [asserted]: #10 [mp #27 #36]: false unsat -1fb88686c084cbd29d5379055cf31c165231f0d2 17 0 +f79c070f64eae6123a31ed43ab22ff256427a856 17 0 #2 := false #8 := 3::real #9 := (= 3::real 3::real) @@ -3703,7 +3703,7 @@ #27 := [asserted]: #10 [mp #27 #36]: false unsat -4439cb9b553ba6a7d3d7adaf0bccb7b403389495 26 0 +4ebfd0cdcde15d352023497277a471fa091558e8 26 0 #2 := false #11 := 4::int #9 := 1::int @@ -3730,7 +3730,7 @@ #30 := [asserted]: #13 [mp #30 #45]: false unsat -f4b4baf086c1953b46b6c8516c9a7e45f6c086ee 41 0 +c45eaaff3b4218ae166b1ee5b57daee45f751625 41 0 #2 := false decl f3 :: int #8 := f3 @@ -3772,7 +3772,7 @@ #33 := [asserted]: #16 [mp #33 #57]: false unsat -5926d4083f7d2a89c57531d8e87a5d554a39421a 35 0 +c12d97c9fd2930565ac865f67ef562b3c45fbf6a 35 0 #2 := false #9 := 3::int #10 := 8::int @@ -3808,7 +3808,7 @@ #31 := [asserted]: #14 [mp #31 #56]: false unsat -53ebe62bcea7dc90158b3082dda2089fed123703 209 0 +7cb5a788981ee8a217912588519fd956ced665e2 209 0 #2 := false #11 := 0::real decl f4 :: real @@ -4018,7 +4018,7 @@ #231 := [unit-resolution #159 #230]: #150 [th-lemma #125 #220 #227 #231]: false unsat -cbc9c5a04b9570a386fb97f8ff4491630835be54 42 0 +1e234cc93c775a7f92c9808afe1122152dd4b38c 42 0 #2 := false decl f3 :: (-> S1 S2) decl f1 :: S1 @@ -4061,7 +4061,7 @@ #32 := [asserted]: #15 [mp #32 #58]: false unsat -732b399d3ae1d48d68db7a2b4fb14062c7ea7650 54 0 +b18c0c1cf966295783ca6ddab09d2dabebd74ff7 54 0 #2 := false #13 := 1::int decl f3 :: int @@ -4116,7 +4116,7 @@ #33 := [asserted]: #16 [mp #33 #72]: false unsat -a511ac5eff75bd85fb28de979615bdeb27073e2f 63 0 +3db1a0441939b3cc14e2a4efb4f74cab6c664bd5 63 0 #2 := false #15 := 0::int decl f4 :: int @@ -4180,7 +4180,7 @@ #81 := [mp #57 #80]: #68 [mp #81 #93]: false unsat -5e99525435673f50d9e2cedb056a3eef3ca48d0f 35 0 +08fc4e7efc68a91cbed93f860a54fb029c71bcbb 35 0 #2 := false #10 := 5::int #8 := 2::int @@ -4216,7 +4216,7 @@ #30 := [asserted]: #13 [mp #30 #54]: false unsat -cb1ff2dbd74d2844a905d03c2bb5dfdcef7b3703 45 0 +3adb493c0d9d387d1aebf7bcb353d3c00a0851a0 45 0 #2 := false #15 := 4::real decl f4 :: real @@ -4262,7 +4262,7 @@ #65 := [mp #41 #64]: #56 [th-lemma #65 #52 #43]: false unsat -7357ea99a84507698d605d047a8912506786b005 59 0 +5ee51bc5647785432ba0c87ce1c0376c614df467 59 0 #2 := false #20 := (not false) decl f4 :: int @@ -4322,7 +4322,7 @@ #39 := [asserted]: #22 [mp #39 #76]: false unsat -a2e7fe792ce7e828740707e47e962b9013bfaa8c 43 0 +28a095b5ca08adc7ff0222dfacd76cf43a8ba449 43 0 #2 := false decl f3 :: int #8 := f3 @@ -4366,7 +4366,7 @@ #31 := [asserted]: #14 [mp #31 #62]: false unsat -f746fa8e8060fa7d6624d49afb6c22d0c2467190 86 0 +d13adc55a1937ef83f29c016ef8623fe1fda09eb 86 0 #2 := false decl f3 :: int #9 := f3 @@ -4453,7 +4453,7 @@ #104 := [unit-resolution #82 #103 #96 #87]: #65 [unit-resolution #104 #117]: false unsat -96de0a1de3d9897dfb99656d5dd83bfdb80fa75e 551 0 +372a6ad969cb318322945cf566c5d0dc9eaab120 551 0 #2 := false #174 := 0::int decl f4 :: int @@ -5005,7 +5005,7 @@ #617 := [unit-resolution #411 #614]: #421 [unit-resolution #601 #617 #593 #616]: false unsat -be4350e057381018abf4a5df1b96e44aa5440970 2109 0 +79f1383c7c06e3e99fb5b45b946ee8edd0a67644 2109 0 #2 := false #10 := 0::int decl f3 :: int @@ -7115,7 +7115,7 @@ #2119 := [unit-resolution #2118 #2109 #2056 #2114 #2113 #2112 #2096 #2108]: #945 [unit-resolution #1969 #2119 #2109 #2096 #2042 #2105 #2108]: false unsat -9371d51a82e0a1300620d46b4e7e3f2e34923066 52 0 +e5059b0c3e879c6b6b3ce8026895b93ab92e0728 52 0 #2 := false #12 := 1::real decl f3 :: real @@ -7168,7 +7168,7 @@ #34 := [asserted]: #17 [mp #34 #70]: false unsat -7d808a299ec3aa6543955e0b52da2db4f14e2ebc 348 0 +58d0d0a0a699999905091a630166f1e00b881d19 348 0 #2 := false #11 := 0::int decl f5 :: int @@ -7517,7 +7517,7 @@ #638 := [unit-resolution #642 #647]: #643 [unit-resolution #638 #640 #637]: false unsat -a58c3bad13ae6ef8848c31ae2ecb4d141ea9bdc6 354 0 +4fc7df80f9cc116a2a88bcb88017dc9b0c75f7fc 354 0 #2 := false #11 := 0::int decl f5 :: int @@ -7872,7 +7872,7 @@ #626 := [unit-resolution #621 #634]: #753 [unit-resolution #626 #619 #508]: false unsat -cfd6420dc9709ceb6bf8be602fb4605c1ddb5222 101 0 +391853aefaeecebad29422aff20420b5c8400b71 101 0 #2 := false #9 := 0::real decl f3 :: real @@ -7974,7 +7974,7 @@ #120 := [th-lemma]: #119 [unit-resolution #120 #116 #109 #43]: false unsat -957b603c67e0eb51df6576d5eeddcc6aa6ccd469 943 0 +fee0ab8e0ed90b0d56c8dc3103c9526d6f1496af 943 0 #2 := false #49 := 1::int decl f4 :: (-> int int int) @@ -8918,7 +8918,7 @@ #1294 := [unit-resolution #1107 #1293 #1239]: #405 [unit-resolution #1252 #1294 #1292]: false unsat -e0bd8674b0a8871e3484c1aaf5e9760d6cdde8fa 24 0 +a36cefa1a79f7b6b132d839263e2dbea9c7e87fc 24 0 #2 := false #8 := (exists (vars (?v0 int)) false) #9 := (not #8) @@ -8943,7 +8943,7 @@ #27 := [asserted]: #10 [mp #27 #43]: false unsat -20e7b35733689b5c0fe416fc2b22bfe44b252442 24 0 +54fcba387e363cf8083d4867a9793bbccb7a0314 24 0 #2 := false #8 := (exists (vars (?v0 real)) false) #9 := (not #8) @@ -8968,13 +8968,13 @@ #27 := [asserted]: #10 [mp #27 #43]: false unsat -c605fee711b129b0bde66fbd9b8f8cc9ce226e9a 1 0 -unsat -e58017e3173d9778bc4b43bd6c7d6554fa96991e 1 0 -unsat -0e0dcf19cd5b120a9f262cfa9c01b662a315ee94 1 0 -unsat -1781c1a480d6415ddb235a621259ce2092732ba5 67 0 +fb9fab32fe487ed4f4e3d6fe3002d02a0faf856f 1 0 +unsat +04a6b607d97a19c61cf9fb86541a5de438beb133 1 0 +unsat +12094d1935a50c8a07214f044f89a779adda7144 1 0 +unsat +5e524c2f74a70173d25f03f6292e4c1715c27295 67 0 #2 := false #9 := 0::int #12 := 1::int @@ -9042,7 +9042,7 @@ #143 := [trans #141 #80]: #142 [mp #143 #145]: false unsat -cb54bc1c8221ce33a204ef4756c350ab3a9165fd 82 0 +8d9412b39d1e4ff552ff059a2a38b571d1cc91d5 82 0 #2 := false #9 := (:var 0 int) #11 := 0::int @@ -9125,7 +9125,7 @@ #35 := [asserted]: #18 [mp #35 #101]: false unsat -05e26467c63b2926bb1206f4d9498749ac8572cd 78 0 +27ab42ad2d8b0d1fd722c36b1b4da113e0100061 78 0 #2 := false #9 := (:var 0 int) #11 := 2::int @@ -9204,7 +9204,7 @@ #36 := [asserted]: #19 [mp #36 #97]: false unsat -9a25b8cd095131859f14e6e15166f75f654f8b36 61 0 +df217f217128f3754a777d8b086332e1f6ca39ed 61 0 #2 := false #13 := (:var 0 int) #8 := 2::int @@ -9266,7 +9266,7 @@ #35 := [asserted]: #18 [mp #35 #80]: false unsat -b845be4ad91437fd7de4e1e43e09de89dff87060 111 0 +ae3d6219d877e775dfed10c63209e257accf66b7 111 0 #2 := false #8 := 2::int decl ?v0!1 :: int @@ -9378,7 +9378,7 @@ #189 := [th-lemma]: #188 [unit-resolution #189 #132 #130 #131]: false unsat -d516d2245b3e1198319c778f5d87f60364d9480b 89 0 +13bee6926c3836fd51ee6bc754d5c22e812fc512 89 0 #2 := false #8 := 0::int decl ?v0!0 :: int @@ -9468,7 +9468,7 @@ #172 := [unit-resolution #157 #95]: #171 [unit-resolution #172 #170 #167]: false unsat -16973ba3459b683ba763cfd9d1b131b50880d52b 83 2 +d8021ae1b4589558d9fd489bf446659dddb6bd92 83 2 #2 := false #9 := 0::int #8 := (:var 0 int) @@ -9554,7 +9554,7 @@ unsat WARNING: failed to find a pattern for quantifier (quantifier id: k!9) -6a2477ce7e396f5a6b8350494c34556e3187382b 180 2 +d2e44415b02dc3e73faa264730b98a3e42a2c4b7 180 2 #2 := false #16 := 3::int #37 := -1::int @@ -9737,7 +9737,7 @@ unsat WARNING: failed to find a pattern for quantifier (quantifier id: k!9) -2c2ba5876a1ae5b4aacba3ec088a92e8517d1db5 68 0 +4b7d931172988b3d273106901290917cf166502b 68 0 #2 := false #16 := 1::int #13 := (:var 1 int) @@ -9806,7 +9806,7 @@ #37 := [asserted]: #20 [mp #37 #88]: false unsat -3bc68a4890101c78401460850d978a5b784ef891 107 0 +3bad73f4a46430e1cd795e36a5d12f24c1d02fca 107 0 #2 := false #8 := 0::int decl ?v1!1 :: int @@ -9914,7 +9914,7 @@ #128 := [and-elim #106]: #93 [th-lemma #128 #129 #130]: false unsat -69398382e4236c1f3e9ea09ef96d5056d4f3fa6e 117 0 +87d0780ec63c3625f21f826c074cd13be4d62e3f 117 0 #2 := false #8 := 0::int decl ?v1!1 :: int @@ -10032,7 +10032,7 @@ #193 := [unit-resolution #192 #115]: #103 [unit-resolution #193 #135]: false unsat -4e8319ba61c4c37d1677e9a262b47203f2bf5468 148 0 +8cf44aadad8c0d87f2f57333fcb342b5ab385732 148 0 #2 := false #149 := (not false) #11 := 0::int @@ -10181,7 +10181,7 @@ #163 := [mp #131 #162]: #158 [mp #163 #186]: false unsat -a21b19aa84de923d8a0d2dc0af8016cd64248558 67 0 +505b296c347b1d80912f4657132db5ad5ac9be4f 67 0 #2 := false #8 := (:var 0 int) #9 := (pattern #8) @@ -10249,9 +10249,9 @@ #35 := [asserted]: #18 [mp #35 #85]: false unsat -53ac944328a76df2270bb4117390a226d92d4e8d 1 0 -unsat -80d97536e18b652f6d95d83165f7e113fa8206dd 75 0 +69b5f9a8c6931a47249060824265e608f534018d 1 0 +unsat +153386649b53dd5f988fd1bc7b72bcd290f53da9 75 0 #2 := false #10 := 1::int decl f5 :: int @@ -10327,7 +10327,7 @@ #37 := [asserted]: #20 [mp #37 #91]: false unsat -1290567b7974f50913459a9370404d1fb27c5c04 62 0 +68a3071b380f0f7c03304499d1f2835f0bf361c3 62 0 #2 := false decl f4 :: real #10 := f4 @@ -10390,7 +10390,7 @@ #37 := [asserted]: #20 [mp #37 #79]: false unsat -539e99c284f7a3ed7bb350da08f51bfa73f9e832 141 0 +b6399504e06b7554863175061a53aa7486cc9086 141 0 #2 := false decl f6 :: int #13 := f6 @@ -10532,7 +10532,7 @@ #50 := [asserted]: #33 [mp #50 #155]: false unsat -95f708529404688f5c32519f5db83b1972672eb0 252 0 +161d4df3b39a91bf1bc07402c22e85ffba8398b2 252 0 #2 := false #13 := 0::int decl f4 :: (-> S2 int) @@ -10785,7 +10785,7 @@ #544 := [unit-resolution #537 #456]: #562 [th-lemma #460 #544 #542 #551]: false unsat -069a886d4e32ad09f893e803be1b967f3568fe31 227 0 +2eacc8bb83fecb0fe81d96fc93fc64a7d11a9e4d 227 0 #2 := false #27 := 3::int decl f4 :: (-> S2 int) @@ -11013,7 +11013,7 @@ #607 := [unit-resolution #602 #605]: #632 [th-lemma #161 #607 #160]: false unsat -dc0cfb9f55d790de5cad944289080b012df32109 367 0 +61d261a95e60947f23f698475332084ad9cfd094 367 0 #2 := false #13 := 0::int decl f4 :: (-> S2 int) @@ -11381,7 +11381,7 @@ #461 := [th-lemma]: #460 [unit-resolution #461 #469 #457]: false unsat -1119baa29d78de9d8299759a1e2778fd64cb45ac 299 0 +ddf1adc32377020a68931e791f8d3bc93a479493 299 0 #2 := false #13 := 0::int decl f4 :: (-> S2 int) @@ -11681,7 +11681,7 @@ #603 := [unit-resolution #617 #615]: #685 [th-lemma #625 #190 #603 #630]: false unsat -bc26a0abfecc650600742f8182ea35bd8e9c0657 458 0 +044639db28fa915f30475668c634e5237efaa068 458 0 #2 := false #13 := 0::int decl f4 :: (-> S2 int) @@ -12140,7 +12140,7 @@ #355 := [unit-resolution #374 #372]: #373 [unit-resolution #355 #328]: false unsat -d28cb53d0b19f6ffbd9f6906e69a9e4028ab5365 161 0 +35a0968e29848376b1a21560a270f15f6d19aed4 161 0 #2 := false #13 := 0::int decl f5 :: int @@ -12302,7 +12302,7 @@ #366 := [unit-resolution #644 #660]: #652 [th-lemma #661 #366 #266]: false unsat -3bdd721710ce740508c48327f8e9174f1a8cdb9c 604 0 +30478456884b028b09fee79763641a90a5f3dc95 604 0 #2 := false #13 := 0::int decl f4 :: (-> S2 int) @@ -12907,7 +12907,7 @@ #1005 := [unit-resolution #599 #859]: #455 [unit-resolution #1005 #1004 #994]: false unsat -9702672d0e4ef4f07fbabb8ea1413e6a7036c6b3 61 0 +b7294e8991937b94c2eeb87ee3638d9d5f007d01 61 0 #2 := false decl f7 :: S3 #12 := f7 @@ -12969,7 +12969,7 @@ #59 := [not-or-elim #58]: #57 [unit-resolution #59 #251]: false unsat -eb96c266a8e3d434df367635dd7c28e36177b61a 116 0 +0eb592b66cd32b0b3c146dc31bf114d3abca5113 116 0 #2 := false decl f10 :: (-> S5 S3) decl f7 :: S5 @@ -13086,7 +13086,7 @@ #81 := [not-or-elim #78]: #80 [unit-resolution #81 #612]: false unsat -9aa5c4fb11199431a576a38868b15130e8351add 192 0 +919519ba12504066a1609e5f376b9f35de340ebd 192 0 #2 := false decl f6 :: (-> S3 S2 S4) decl f3 :: S2 @@ -13279,7 +13279,7 @@ #73 := [not-or-elim #70]: #72 [unit-resolution #73 #505]: false unsat -25babfdee044def80821e354fcd8abca6147a0b0 80 0 +0e78b14dde5af897ffb16aaeab92efe89c61b5d1 80 0 #2 := false decl f6 :: (-> S2 S3 S1) decl f5 :: S3 @@ -13360,7 +13360,7 @@ #75 := [not-or-elim #69]: #74 [mp #75 #96]: false unsat -608cd0071a67598a13af0858c9e1341886caf8cc 128 0 +df98f2515329e244654c3b6826b0db995088c21e 128 0 #2 := false decl f3 :: (-> S2 S2) #15 := (:var 0 S2) @@ -13489,7 +13489,7 @@ #224 := [quant-inst]: #566 [unit-resolution #224 #575 #583]: false unsat -737f3f173e29756f346a0a821d7647d108111546 469 0 +be52fda02d5daa6359d2f1d2bccf2f909cea5a49 469 0 #2 := false decl f8 :: (-> S2 S4 S4) decl f9 :: S4 @@ -13959,7 +13959,7 @@ #173 := [asserted]: #43 [unit-resolution #173 #814]: false unsat -5cfea173c08e120333c1dea606b9463cfcc6450a 38 0 +ee30427d464b4fb3f94aa1806f026182963de849 38 0 #2 := false decl f1 :: S1 #4 := f1 @@ -13998,7 +13998,7 @@ #31 := [asserted]: #14 [mp #31 #54]: false unsat -9cf33fdca403c6c514f1cd0e17b6b0a250477095 366 0 +bb6927e05e73f0d1fe00658a23b5a23277a4c6fa 366 0 #2 := false decl f3 :: (-> int S2) #41 := 6::int @@ -14365,7 +14365,7 @@ #187 := [asserted]: #44 [unit-resolution #187 #404]: false unsat -f72e33edaef326a0ed844a14ae54b706945ff4d5 1271 0 +760a08d06b818c4b3a173eacf882e5d9145febb7 1271 0 #2 := false decl f6 :: (-> int int int) #12 := 2::int @@ -15637,7 +15637,7 @@ #615 := [unit-resolution #638 #1762]: #367 [unit-resolution #615 #1764]: false unsat -59b518b007738eb00dbca158af8db9e067af1dee 76 0 +1739856e83271d60ba99b4dd0f8fab6bba11b19a 76 0 #2 := false decl f3 :: (-> int S1) #12 := (:var 0 int) @@ -15714,7 +15714,7 @@ #689 := [quant-inst]: #688 [unit-resolution #689 #158 #1022]: false unsat -997a0c6c7b0815f9412f3484edb90c328a2f5296 478 0 +e1c7435780cfee6dd8c9bac28159418631b73635 478 0 #2 := false decl f7 :: (-> S4 S2) decl f8 :: (-> S1 S4) diff -r 5edeb5d269fa -r 12a06ad29681 src/HOL/SMT_Examples/SMT_Tests.certs --- a/src/HOL/SMT_Examples/SMT_Tests.certs Wed Nov 03 16:44:38 2010 +0100 +++ b/src/HOL/SMT_Examples/SMT_Tests.certs Wed Nov 03 17:02:53 2010 +0100 @@ -1,4 +1,4 @@ -d4b1481d70f20d4d6280999633c905e21d180d13 8 0 +1b7b7e7109fa2efdf94c204be8d611210920badb 8 0 #2 := false #1 := true #8 := (not true) @@ -7,7 +7,7 @@ #25 := [asserted]: #8 [mp #25 #27]: false unsat -a38979487be0aafcf2d387180e92dfd3bd43e483 33 0 +24d44e2684a632b0246b194cc850faec2cea7de6 33 0 #2 := false decl f1 :: S1 #4 := f1 @@ -41,7 +41,7 @@ #29 := [asserted]: #12 [mp #29 #49]: false unsat -ac5b1925e47f9c59b180fdccd321c68a4a01a710 16 0 +e13aa83df86f7aa731de8803590214f1f328e559 16 0 #2 := false #8 := (not false) #9 := (not #8) @@ -58,7 +58,7 @@ #26 := [asserted]: #9 [mp #26 #35]: false unsat -b2faf72eaa234b8ac1acedfef5768f99ca3da86b 41 0 +f420673acb14abe98ee018177f96f582264715f6 41 0 #2 := false decl f1 :: S1 #4 := f1 @@ -100,7 +100,7 @@ #30 := [asserted]: #13 [mp #30 #57]: false unsat -b13645ce0b47b432b924b38e0bebde6cbcb236f9 21 0 +1ca9ca5e02de1f4179a12b1248e2289c51261af2 21 0 #2 := false #1 := true #8 := (not true) @@ -122,7 +122,7 @@ #27 := [asserted]: #10 [mp #27 #40]: false unsat -fa3a2c67c2833da196c4009cb283e94a9f22829b 65 0 +cdbc0ed6463ef1f60801c650813ddb76e5fc1674 65 0 #2 := false decl f1 :: S1 #4 := f1 @@ -188,7 +188,7 @@ #33 := [asserted]: #16 [mp #33 #81]: false unsat -8ec60d0baade8bddd39b6e00ec153f6bd8949184 16 0 +717a63b9f4d0d299b9c3ce33521d4ac56124d7b8 16 0 #2 := false #1 := true #8 := (and true true) @@ -205,7 +205,7 @@ #26 := [asserted]: #9 [mp #26 #35]: false unsat -85a9b542a9c6d64e778f2449f892d6d55e153689 29 0 +c378fcdabec52ebd4390861a6f8953415c34a0b9 29 0 #2 := false decl f1 :: S1 #4 := f1 @@ -235,7 +235,7 @@ #28 := [asserted]: #11 [mp #28 #45]: false unsat -b448617db1567a507fc596f5b21ade645ca6e0f9 16 0 +383085ca96bed3199fce8a7516860e635411bc13 16 0 #2 := false #1 := true #8 := (or true false) @@ -252,7 +252,7 @@ #26 := [asserted]: #9 [mp #26 #35]: false unsat -a21434fdffa6243cc7410eb0aff669b84c5be474 41 0 +b8d5743ec1146548a209ace4cd6155117ecb0983 41 0 #2 := false decl f1 :: S1 #4 := f1 @@ -294,7 +294,7 @@ #30 := [asserted]: #13 [mp #30 #57]: false unsat -bf545ecaa58049cbf454eac70ee3077f64564cca 16 0 +bfcbf10bac83ae3af48158f2275ff2d80613bb1c 16 0 #2 := false #1 := true #8 := (implies false true) @@ -311,7 +311,7 @@ #26 := [asserted]: #9 [mp #26 #35]: false unsat -a6a664cc4c3ff45fb3211b72c0f520208b902c9b 47 0 +1318ba8c39667bffead89e0e37453cef395b803a 47 0 #2 := false decl f1 :: S1 #4 := f1 @@ -359,7 +359,7 @@ #32 := [asserted]: #15 [mp #32 #62]: false unsat -9a169ba4d23a9080465edad5616230c8b4e1ef98 149 0 +3613b4af790179e90308b88e5d17e375488860dc 149 0 #2 := false decl f5 :: S1 #12 := f5 @@ -509,7 +509,7 @@ #109 := [def-axiom]: #108 [unit-resolution #109 #165 #164 #161]: false unsat -d99e41f56c960ba88eb8ca95c5a49bd2181a7626 47 0 +f66e70c965ea5e45c5d8d8afc12c5c9d8f438bbf 47 0 #2 := false decl f1 :: S1 #4 := f1 @@ -557,7 +557,7 @@ #32 := [asserted]: #15 [mp #32 #62]: false unsat -8d07b6d671ef5c9eedcaa35c22d5f1c7124504cb 66 0 +6a02b3f460d6b73a1c8bb9bc10adaf8bab0c8e8d 66 0 #2 := false decl f3 :: S1 #8 := f3 @@ -624,7 +624,7 @@ #95 := [unit-resolution #86 #65]: #94 [unit-resolution #95 #93 #92]: false unsat -a8e5086b6e21c7bf961a22426cb7ae14847089d7 55 0 +6ad20e70359f46e3ce1c064a3b8026cad7cd2ff8 55 0 #2 := false decl f3 :: S1 #8 := f3 @@ -680,7 +680,7 @@ #71 := [and-elim #70]: #33 [mp #71 #77]: false unsat -415ad6a91bb75e131bb05d34f1965ab914825b25 67 0 +6b05ab468934ffcc0e31bde41bfd81d0a9deefeb 67 0 #2 := false decl f1 :: S1 #4 := f1 @@ -748,7 +748,7 @@ #38 := [asserted]: #21 [mp #38 #80]: false unsat -e2d0843914ae918fb9bd06a2d6949232327217fa 55 0 +2b253648b79acb0e52fb9e262cb32419808d9871 55 0 #2 := false decl f1 :: S1 #4 := f1 @@ -804,7 +804,7 @@ #33 := [asserted]: #16 [mp #33 #70]: false unsat -8b8741030ee2ece2c8d6b3906a1951bc56d9b885 67 0 +641947287e52d98b055b0c416150e15eb1a766da 67 0 #2 := false decl f1 :: S1 #4 := f1 @@ -872,7 +872,7 @@ #38 := [asserted]: #21 [mp #38 #80]: false unsat -00d9c16458cf2825e776c32505a513a412ede70f 55 0 +9b964feeca237f6b2088e905866f89fe7614b790 55 0 #2 := false decl f1 :: S1 #4 := f1 @@ -928,7 +928,7 @@ #33 := [asserted]: #16 [mp #33 #70]: false unsat -a0ca672c65c25c024851f833f39bfb2c705ec387 186 0 +d314e49b3b13f8d1c45bdec28f1a923eafa9dd30 186 0 #2 := false decl f5 :: S1 #12 := f5 @@ -1115,7 +1115,7 @@ #118 := [def-axiom]: #117 [unit-resolution #118 #203 #201]: false unsat -bca31cbd8bb6114896c32a11dfae7025f2fc07b1 49 0 +9edb7fb964a6bff17daa4ba37de7c9c60f75b958 49 0 #2 := false decl f3 :: S1 #8 := f3 @@ -1165,7 +1165,41 @@ #63 := [and-elim #61]: #34 [mp #63 #69]: false unsat -f5031e01f448cd128a3cce562b470d23d1a8bc59 54 0 +a7388049ad99f131accb8444cd89b6a9c1fac45f 33 0 +#2 := false +decl f1 :: S1 +#4 := f1 +decl f3 :: S1 +#8 := f3 +#9 := (= f3 f1) +#10 := (not #9) +#11 := (ite #9 #9 #10) +#12 := (not #11) +#48 := (iff #12 false) +#1 := true +#43 := (not true) +#46 := (iff #43 false) +#47 := [rewrite]: #46 +#44 := (iff #12 #43) +#41 := (iff #11 true) +#30 := (= f1 f3) +#33 := (not #30) +#36 := (ite #30 #30 #33) +#39 := (iff #36 true) +#40 := [rewrite]: #39 +#37 := (iff #11 #36) +#34 := (iff #10 #33) +#31 := (iff #9 #30) +#32 := [rewrite]: #31 +#35 := [monotonicity #32]: #34 +#38 := [monotonicity #32 #32 #35]: #37 +#42 := [trans #38 #40]: #41 +#45 := [monotonicity #42]: #44 +#49 := [trans #45 #47]: #48 +#29 := [asserted]: #12 +[mp #29 #49]: false +unsat +60c47bbe18daad2442ee45433370ee0806f6bb96 54 0 #2 := false decl f3 :: S1 #8 := f3 @@ -1220,7 +1254,7 @@ #68 := [and-elim #66]: #34 [mp #68 #74]: false unsat -6bcac7ed9b4a6f3af0933f64ee0cb316b51a44ed 33 0 +39f56c1d543d6413fc0dc639b2b6f15664655196 33 0 #2 := false decl f1 :: S1 #4 := f1 @@ -1228,7 +1262,7 @@ #8 := f3 #9 := (= f3 f1) #10 := (not #9) -#11 := (ite #9 #9 #10) +#11 := (ite #10 #10 #9) #12 := (not #11) #48 := (iff #12 false) #1 := true @@ -1239,22 +1273,22 @@ #41 := (iff #11 true) #30 := (= f1 f3) #33 := (not #30) -#36 := (ite #30 #30 #33) +#36 := (ite #33 #33 #30) #39 := (iff #36 true) #40 := [rewrite]: #39 #37 := (iff #11 #36) -#34 := (iff #10 #33) #31 := (iff #9 #30) #32 := [rewrite]: #31 +#34 := (iff #10 #33) #35 := [monotonicity #32]: #34 -#38 := [monotonicity #32 #32 #35]: #37 +#38 := [monotonicity #35 #35 #32]: #37 #42 := [trans #38 #40]: #41 #45 := [monotonicity #42]: #44 #49 := [trans #45 #47]: #48 #29 := [asserted]: #12 [mp #29 #49]: false unsat -38d7d5f12a8c933e456bba4a04c7645f4c87ea49 60 0 +4262551db767bfb5375132641dc2c0e90be1daa4 60 0 #2 := false decl f4 :: S1 #10 := f4 @@ -1315,41 +1349,26 @@ #70 := [mp #35 #67]: #64 [mp #70 #68]: false unsat -be3ab8b5e09f8f942728ba1af0512891f56e0c5b 33 0 -#2 := false -decl f1 :: S1 -#4 := f1 -decl f3 :: S1 -#8 := f3 -#9 := (= f3 f1) +6a7b76cfae07a340fb39c8963a01cd95eedd8bf9 18 0 +#2 := false +decl f3 :: S2 +#8 := f3 +#9 := (= f3 f3) #10 := (not #9) -#11 := (ite #10 #10 #9) -#12 := (not #11) -#48 := (iff #12 false) -#1 := true -#43 := (not true) -#46 := (iff #43 false) -#47 := [rewrite]: #46 -#44 := (iff #12 #43) -#41 := (iff #11 true) -#30 := (= f1 f3) -#33 := (not #30) -#36 := (ite #33 #33 #30) -#39 := (iff #36 true) -#40 := [rewrite]: #39 -#37 := (iff #11 #36) -#31 := (iff #9 #30) -#32 := [rewrite]: #31 -#34 := (iff #10 #33) -#35 := [monotonicity #32]: #34 -#38 := [monotonicity #35 #35 #32]: #37 -#42 := [trans #38 #40]: #41 -#45 := [monotonicity #42]: #44 -#49 := [trans #45 #47]: #48 -#29 := [asserted]: #12 -[mp #29 #49]: false -unsat -27121de8ceb5985c14cca2c4563e9cad4d2ebd3c 79 0 +#35 := (iff #10 false) +#1 := true +#30 := (not true) +#33 := (iff #30 false) +#34 := [rewrite]: #33 +#31 := (iff #10 #30) +#28 := (iff #9 true) +#29 := [rewrite]: #28 +#32 := [monotonicity #29]: #31 +#36 := [trans #32 #34]: #35 +#27 := [asserted]: #10 +[mp #27 #36]: false +unsat +09afbbf0eb362cf37facfae99f9d6f31556e820b 79 0 #2 := false decl f1 :: S1 #4 := f1 @@ -1429,26 +1448,37 @@ #36 := [asserted]: #19 [mp #36 #93]: false unsat -aa78c56be2c8312419ab25323cf112e3e8809e9f 18 0 +902a92cdc108cc8b99cf8896d6549c8ca538e3d0 29 0 #2 := false decl f3 :: S2 #8 := f3 -#9 := (= f3 f3) -#10 := (not #9) -#35 := (iff #10 false) -#1 := true -#30 := (not true) -#33 := (iff #30 false) -#34 := [rewrite]: #33 -#31 := (iff #10 #30) -#28 := (iff #9 true) -#29 := [rewrite]: #28 -#32 := [monotonicity #29]: #31 -#36 := [trans #32 #34]: #35 -#27 := [asserted]: #10 -[mp #27 #36]: false -unsat -dc14c19019afcaa63507e4b503184496ed6bfd2f 94 0 +decl f4 :: S2 +#9 := f4 +#11 := (= f4 f3) +#10 := (= f3 f4) +#12 := (implies #10 #11) +#13 := (not #12) +#45 := (iff #13 false) +#1 := true +#40 := (not true) +#43 := (iff #40 false) +#44 := [rewrite]: #43 +#41 := (iff #13 #40) +#38 := (iff #12 true) +#33 := (implies #10 #10) +#36 := (iff #33 true) +#37 := [rewrite]: #36 +#34 := (iff #12 #33) +#31 := (iff #11 #10) +#32 := [rewrite]: #31 +#35 := [monotonicity #32]: #34 +#39 := [trans #35 #37]: #38 +#42 := [monotonicity #39]: #41 +#46 := [trans #42 #44]: #45 +#30 := [asserted]: #13 +[mp #30 #46]: false +unsat +be971aad38d2b7ade1dc5cd9703570a52b3c13d8 94 0 #2 := false decl f5 :: S1 #13 := f5 @@ -1543,37 +1573,42 @@ #96 := [not-or-elim #89]: #70 [mp #96 #112]: false unsat -8d3a435e96c2d773a90e94525d09aa8a352d27d6 29 0 -#2 := false +adac1ab250a9687a951445e1ab79aef512dbc4ce 34 0 +#2 := false +decl f5 :: S2 +#11 := f5 decl f3 :: S2 #8 := f3 +#14 := (= f3 f5) decl f4 :: S2 #9 := f4 -#11 := (= f4 f3) +#12 := (= f4 f5) +#58 := (iff #12 #14) +#56 := (iff #14 #12) #10 := (= f3 f4) -#12 := (implies #10 #11) -#13 := (not #12) -#45 := (iff #13 false) -#1 := true -#40 := (not true) -#43 := (iff #40 false) -#44 := [rewrite]: #43 -#41 := (iff #13 #40) -#38 := (iff #12 true) -#33 := (implies #10 #10) -#36 := (iff #33 true) +#13 := (and #10 #12) +#34 := (not #13) +#35 := (or #34 #14) +#38 := (not #35) +#15 := (implies #13 #14) +#16 := (not #15) +#39 := (iff #16 #38) +#36 := (iff #15 #35) #37 := [rewrite]: #36 -#34 := (iff #12 #33) -#31 := (iff #11 #10) -#32 := [rewrite]: #31 -#35 := [monotonicity #32]: #34 -#39 := [trans #35 #37]: #38 -#42 := [monotonicity #39]: #41 -#46 := [trans #42 #44]: #45 -#30 := [asserted]: #13 -[mp #30 #46]: false -unsat -682b764e75beeea86518e9d265c22d014c6c1f1d 114 0 +#40 := [monotonicity #37]: #39 +#33 := [asserted]: #16 +#43 := [mp #33 #40]: #38 +#41 := [not-or-elim #43]: #13 +#42 := [and-elim #41]: #10 +#57 := [monotonicity #42]: #56 +#59 := [symm #57]: #58 +#44 := [and-elim #41]: #12 +#54 := [mp #44 #59]: #14 +#45 := (not #14) +#46 := [not-or-elim #43]: #45 +[unit-resolution #46 #54]: false +unsat +e22b0ec4c7a382fdc38d1cae4e9ead0e7119241c 114 0 #2 := false decl f5 :: S1 #13 := f5 @@ -1688,42 +1723,35 @@ #136 := [unit-resolution #109 #135]: #87 [unit-resolution #93 #136 #134]: false unsat -7d6e447cf6e1145f4f9a866bcc3cde4710e17c79 34 0 -#2 := false -decl f5 :: S2 -#11 := f5 +fecb07c630f2b4838d9143ebd9c448ef1d8c0d9f 27 0 +#2 := false +decl f5 :: (-> S2 S2) +decl f4 :: S2 +#9 := f4 +#12 := (f5 f4) decl f3 :: S2 #8 := f3 -#14 := (= f3 f5) -decl f4 :: S2 -#9 := f4 -#12 := (= f4 f5) -#58 := (iff #12 #14) -#56 := (iff #14 #12) +#11 := (f5 f3) +#13 := (= #11 #12) #10 := (= f3 f4) -#13 := (and #10 #12) -#34 := (not #13) -#35 := (or #34 #14) -#38 := (not #35) -#15 := (implies #13 #14) -#16 := (not #15) -#39 := (iff #16 #38) -#36 := (iff #15 #35) -#37 := [rewrite]: #36 -#40 := [monotonicity #37]: #39 -#33 := [asserted]: #16 -#43 := [mp #33 #40]: #38 -#41 := [not-or-elim #43]: #13 -#42 := [and-elim #41]: #10 -#57 := [monotonicity #42]: #56 -#59 := [symm #57]: #58 -#44 := [and-elim #41]: #12 -#54 := [mp #44 #59]: #14 -#45 := (not #14) -#46 := [not-or-elim #43]: #45 -[unit-resolution #46 #54]: false -unsat -c134dad603b5004748b4c36796dfbdf41bc232cc 121 0 +#33 := (not #10) +#34 := (or #33 #13) +#37 := (not #34) +#14 := (implies #10 #13) +#15 := (not #14) +#38 := (iff #15 #37) +#35 := (iff #14 #34) +#36 := [rewrite]: #35 +#39 := [monotonicity #36]: #38 +#32 := [asserted]: #15 +#42 := [mp #32 #39]: #37 +#40 := [not-or-elim #42]: #10 +#51 := [monotonicity #40]: #13 +#41 := (not #13) +#43 := [not-or-elim #42]: #41 +[unit-resolution #43 #51]: false +unsat +bd0235065d3ae8e8f7120ef8c728cacf6335092d 121 0 #2 := false decl f5 :: S1 #13 := f5 @@ -1845,16 +1873,17 @@ #99 := [not-or-elim #92]: #98 [mp #99 #138]: false unsat -810792c4ea80c0bc3287d99f969f1a65dc039da5 27 0 -#2 := false -decl f5 :: (-> S2 S2) +d0fff77820573b42e578c359c531050dc8cc1cb7 31 0 +#2 := false +decl f5 :: (-> S2 S2 S3) +decl f3 :: S2 +#8 := f3 decl f4 :: S2 #9 := f4 -#12 := (f5 f4) -decl f3 :: S2 -#8 := f3 -#11 := (f5 f3) +#12 := (f5 f4 f3) +#11 := (f5 f3 f4) #13 := (= #11 #12) +#53 := (= #12 #11) #10 := (= f3 f4) #33 := (not #10) #34 := (or #33 #13) @@ -1868,12 +1897,15 @@ #32 := [asserted]: #15 #42 := [mp #32 #39]: #37 #40 := [not-or-elim #42]: #10 -#51 := [monotonicity #40]: #13 +#51 := (= f4 f3) +#52 := [symm #40]: #51 +#54 := [monotonicity #52 #40]: #53 +#49 := [symm #54]: #13 #41 := (not #13) #43 := [not-or-elim #42]: #41 -[unit-resolution #43 #51]: false -unsat -7afff0259006c1c4b6a802d510f1b96695b3e9ad 110 0 +[unit-resolution #43 #49]: false +unsat +b0ca15f9e66f88090a8bcf746cc11c5e9df6c55c 110 0 #2 := false decl f4 :: S1 #10 := f4 @@ -1984,39 +2016,71 @@ #84 := [and-elim #83]: #44 [mp #84 #129]: false unsat -09e564f98c53b63bab667092b7072fa2b674fa08 31 0 -#2 := false -decl f5 :: (-> S2 S2 S3) -decl f3 :: S2 -#8 := f3 +18f8f90b1403ab11e524a667a0fd98ca5bbf61ca 63 0 +#2 := false +decl f3 :: (-> S2 S2) decl f4 :: S2 -#9 := f4 -#12 := (f5 f4 f3) -#11 := (f5 f3 f4) -#13 := (= #11 #12) -#53 := (= #12 #11) -#10 := (= f3 f4) -#33 := (not #10) -#34 := (or #33 #13) -#37 := (not #34) -#14 := (implies #10 #13) -#15 := (not #14) -#38 := (iff #15 #37) -#35 := (iff #14 #34) -#36 := [rewrite]: #35 -#39 := [monotonicity #36]: #38 -#32 := [asserted]: #15 -#42 := [mp #32 #39]: #37 -#40 := [not-or-elim #42]: #10 -#51 := (= f4 f3) -#52 := [symm #40]: #51 -#54 := [monotonicity #52 #40]: #53 -#49 := [symm #54]: #13 -#41 := (not #13) -#43 := [not-or-elim #42]: #41 -[unit-resolution #43 #49]: false -unsat -83b90287eef3783de4d8fa4aad70d03dd0abddbf 127 0 +#8 := f4 +#9 := (f3 f4) +#46 := (= f4 #9) +#10 := (f3 #9) +#12 := (f3 #10) +#78 := (= #12 #9) +#76 := (= #9 #12) +#37 := (= f4 #10) +#13 := (f3 #12) +#14 := (f3 #13) +#40 := (= f4 #14) +#43 := (and #37 #40) +#52 := (not #43) +#53 := (or #52 #46) +#58 := (not #53) +#17 := (= #9 f4) +#15 := (= #14 f4) +#11 := (= #10 f4) +#16 := (and #11 #15) +#18 := (implies #16 #17) +#19 := (not #18) +#59 := (iff #19 #58) +#56 := (iff #18 #53) +#49 := (implies #43 #46) +#54 := (iff #49 #53) +#55 := [rewrite]: #54 +#50 := (iff #18 #49) +#47 := (iff #17 #46) +#48 := [rewrite]: #47 +#44 := (iff #16 #43) +#41 := (iff #15 #40) +#42 := [rewrite]: #41 +#38 := (iff #11 #37) +#39 := [rewrite]: #38 +#45 := [monotonicity #39 #42]: #44 +#51 := [monotonicity #45 #48]: #50 +#57 := [trans #51 #55]: #56 +#60 := [monotonicity #57]: #59 +#36 := [asserted]: #19 +#63 := [mp #36 #60]: #58 +#61 := [not-or-elim #63]: #43 +#62 := [and-elim #61]: #37 +#77 := [monotonicity #62]: #76 +#79 := [symm #77]: #78 +#81 := (= f4 #12) +#67 := (= #14 #12) +#70 := (= #12 #14) +#72 := (= #10 #13) +#74 := (= #13 #10) +#75 := [monotonicity #79]: #74 +#73 := [symm #75]: #72 +#71 := [monotonicity #73]: #70 +#80 := [symm #71]: #67 +#64 := [and-elim #61]: #40 +#82 := [trans #64 #80]: #81 +#83 := [trans #82 #79]: #46 +#65 := (not #46) +#66 := [not-or-elim #63]: #65 +[unit-resolution #66 #83]: false +unsat +a46bdf5ddd9c6bc8726e86b886e63d5fce2aa764 127 0 #2 := false decl f5 :: S1 #13 := f5 @@ -2144,138 +2208,7 @@ #149 := [unit-resolution #131 #147]: #97 [unit-resolution #108 #149 #148]: false unsat -f97c055cc3b87ad54efe59b6c22e3e3633409f7e 63 0 -#2 := false -decl f3 :: (-> S2 S2) -decl f4 :: S2 -#8 := f4 -#9 := (f3 f4) -#46 := (= f4 #9) -#10 := (f3 #9) -#12 := (f3 #10) -#78 := (= #12 #9) -#76 := (= #9 #12) -#37 := (= f4 #10) -#13 := (f3 #12) -#14 := (f3 #13) -#40 := (= f4 #14) -#43 := (and #37 #40) -#52 := (not #43) -#53 := (or #52 #46) -#58 := (not #53) -#17 := (= #9 f4) -#15 := (= #14 f4) -#11 := (= #10 f4) -#16 := (and #11 #15) -#18 := (implies #16 #17) -#19 := (not #18) -#59 := (iff #19 #58) -#56 := (iff #18 #53) -#49 := (implies #43 #46) -#54 := (iff #49 #53) -#55 := [rewrite]: #54 -#50 := (iff #18 #49) -#47 := (iff #17 #46) -#48 := [rewrite]: #47 -#44 := (iff #16 #43) -#41 := (iff #15 #40) -#42 := [rewrite]: #41 -#38 := (iff #11 #37) -#39 := [rewrite]: #38 -#45 := [monotonicity #39 #42]: #44 -#51 := [monotonicity #45 #48]: #50 -#57 := [trans #51 #55]: #56 -#60 := [monotonicity #57]: #59 -#36 := [asserted]: #19 -#63 := [mp #36 #60]: #58 -#61 := [not-or-elim #63]: #43 -#62 := [and-elim #61]: #37 -#77 := [monotonicity #62]: #76 -#79 := [symm #77]: #78 -#81 := (= f4 #12) -#67 := (= #14 #12) -#70 := (= #12 #14) -#72 := (= #10 #13) -#74 := (= #13 #10) -#75 := [monotonicity #79]: #74 -#73 := [symm #75]: #72 -#71 := [monotonicity #73]: #70 -#80 := [symm #71]: #67 -#64 := [and-elim #61]: #40 -#82 := [trans #64 #80]: #81 -#83 := [trans #82 #79]: #46 -#65 := (not #46) -#66 := [not-or-elim #63]: #65 -[unit-resolution #66 #83]: false -unsat -a7f2c916e2192b153aaac29ea6f75d0842fd84d2 66 0 -#2 := false -decl f3 :: S1 -#8 := f3 -decl f1 :: S1 -#4 := f1 -#33 := (= f1 f3) -decl f4 :: S1 -#10 := f4 -#36 := (= f1 f4) -#42 := (not #33) -#43 := (or #42 #36) -#51 := (not #43) -#52 := (or #33 #51) -#82 := (iff #52 #51) -#77 := (or false #51) -#80 := (iff #77 #51) -#81 := [rewrite]: #80 -#78 := (iff #52 #77) -#75 := (iff #33 false) -#60 := (not #52) -#61 := (or #33 #60) -#66 := (not #61) -#9 := (= f3 f1) -#11 := (= f4 f1) -#12 := (implies #9 #11) -#13 := (implies #12 #9) -#14 := (implies #13 #9) -#15 := (not #14) -#67 := (iff #15 #66) -#64 := (iff #14 #61) -#57 := (implies #52 #33) -#62 := (iff #57 #61) -#63 := [rewrite]: #62 -#58 := (iff #14 #57) -#34 := (iff #9 #33) -#35 := [rewrite]: #34 -#55 := (iff #13 #52) -#48 := (implies #43 #33) -#53 := (iff #48 #52) -#54 := [rewrite]: #53 -#49 := (iff #13 #48) -#46 := (iff #12 #43) -#39 := (implies #33 #36) -#44 := (iff #39 #43) -#45 := [rewrite]: #44 -#40 := (iff #12 #39) -#37 := (iff #11 #36) -#38 := [rewrite]: #37 -#41 := [monotonicity #35 #38]: #40 -#47 := [trans #41 #45]: #46 -#50 := [monotonicity #47 #35]: #49 -#56 := [trans #50 #54]: #55 -#59 := [monotonicity #56 #35]: #58 -#65 := [trans #59 #63]: #64 -#68 := [monotonicity #65]: #67 -#32 := [asserted]: #15 -#71 := [mp #32 #68]: #66 -#69 := [not-or-elim #71]: #42 -#76 := [iff-false #69]: #75 -#79 := [monotonicity #76]: #78 -#83 := [trans #79 #81]: #82 -#70 := [not-or-elim #71]: #52 -#84 := [mp #70 #83]: #51 -#74 := [not-or-elim #84]: #33 -[unit-resolution #69 #74]: false -unsat -0b20a1cbaefe018fa6502d17013ec89dc657717b 195 0 +937f73f84ea1ebaa68a1a0ee6c81cfd2f4fda91b 195 0 #2 := false decl f6 :: S2 #13 := f6 @@ -2471,7 +2404,74 @@ #209 := [unit-resolution #118 #208]: #116 [unit-resolution #209 #210]: false unsat -d398c106ccd0941d46bab8e5feda32347dd02740 156 0 +622e9d57e1cdc32316cdcbb8529fc67f719c97a9 66 0 +#2 := false +decl f3 :: S1 +#8 := f3 +decl f1 :: S1 +#4 := f1 +#33 := (= f1 f3) +decl f4 :: S1 +#10 := f4 +#36 := (= f1 f4) +#42 := (not #33) +#43 := (or #42 #36) +#51 := (not #43) +#52 := (or #33 #51) +#82 := (iff #52 #51) +#77 := (or false #51) +#80 := (iff #77 #51) +#81 := [rewrite]: #80 +#78 := (iff #52 #77) +#75 := (iff #33 false) +#60 := (not #52) +#61 := (or #33 #60) +#66 := (not #61) +#9 := (= f3 f1) +#11 := (= f4 f1) +#12 := (implies #9 #11) +#13 := (implies #12 #9) +#14 := (implies #13 #9) +#15 := (not #14) +#67 := (iff #15 #66) +#64 := (iff #14 #61) +#57 := (implies #52 #33) +#62 := (iff #57 #61) +#63 := [rewrite]: #62 +#58 := (iff #14 #57) +#34 := (iff #9 #33) +#35 := [rewrite]: #34 +#55 := (iff #13 #52) +#48 := (implies #43 #33) +#53 := (iff #48 #52) +#54 := [rewrite]: #53 +#49 := (iff #13 #48) +#46 := (iff #12 #43) +#39 := (implies #33 #36) +#44 := (iff #39 #43) +#45 := [rewrite]: #44 +#40 := (iff #12 #39) +#37 := (iff #11 #36) +#38 := [rewrite]: #37 +#41 := [monotonicity #35 #38]: #40 +#47 := [trans #41 #45]: #46 +#50 := [monotonicity #47 #35]: #49 +#56 := [trans #50 #54]: #55 +#59 := [monotonicity #56 #35]: #58 +#65 := [trans #59 #63]: #64 +#68 := [monotonicity #65]: #67 +#32 := [asserted]: #15 +#71 := [mp #32 #68]: #66 +#69 := [not-or-elim #71]: #42 +#76 := [iff-false #69]: #75 +#79 := [monotonicity #76]: #78 +#83 := [trans #79 #81]: #82 +#70 := [not-or-elim #71]: #52 +#84 := [mp #70 #83]: #51 +#74 := [not-or-elim #84]: #33 +[unit-resolution #69 #74]: false +unsat +2e293f73ef5ad101901501ab2dcfcefd193999bd 156 0 #2 := false decl f5 :: S1 #13 := f5 @@ -2628,44 +2628,7 @@ #114 := [def-axiom]: #113 [unit-resolution #114 #172 #170]: false unsat -ba53dbe39a10406601e0a359b3a1de14129ef1a1 36 0 -#2 := false -decl f5 :: S2 -#10 := f5 -decl f3 :: S2 -#8 := f3 -#12 := (= f3 f5) -#13 := (not #12) -decl f4 :: S2 -#9 := f4 -#11 := (distinct f3 f4 f5) -#33 := (not #11) -#34 := (or #33 #13) -#37 := (not #34) -#14 := (implies #11 #13) -#15 := (not #14) -#38 := (iff #15 #37) -#35 := (iff #14 #34) -#36 := [rewrite]: #35 -#39 := [monotonicity #36]: #38 -#32 := [asserted]: #15 -#42 := [mp #32 #39]: #37 -#41 := [not-or-elim #42]: #12 -#52 := (= f4 f5) -#53 := (not #52) -#50 := (= f3 f4) -#51 := (not #50) -#48 := (and #51 #13 #53) -#40 := [not-or-elim #42]: #11 -#58 := (or #33 #48) -#59 := [def-axiom]: #58 -#62 := [unit-resolution #59 #40]: #48 -#49 := (not #48) -#45 := (or #49 #13) -#43 := [def-axiom]: #45 -[unit-resolution #43 #62 #41]: false -unsat -78ae843b278e5f0cc65999ee60776dec7c9f683f 114 0 +ab1dfd2f679d7dbdde93be399a76ec5036d3899f 114 0 #2 := false decl f5 :: S1 #13 := f5 @@ -2780,85 +2743,7 @@ #101 := [mp #36 #100]: #94 [mp #101 #130]: false unsat -08e0778705271e8f33e9bdf3c26b749a4c39eda2 77 0 -#2 := false -decl f4 :: S2 -#9 := f4 -decl f3 :: S2 -#8 := f3 -#81 := (= f3 f4) -decl f6 :: S2 -#12 := f6 -#36 := (= f4 f6) -#100 := (iff #36 #81) -#98 := (iff #81 #36) -#13 := (= f6 f4) -#37 := (iff #13 #36) -#97 := [commutativity]: #37 -#95 := (iff #81 #13) -#14 := (= f3 f6) -#42 := (not #36) -#15 := (not #14) -decl f5 :: S2 -#10 := f5 -#11 := (distinct f3 f4 f5) -#51 := (not #11) -#60 := (or #51 #15 #42) -#63 := (not #60) -#16 := (implies #13 #15) -#17 := (implies #11 #16) -#18 := (not #17) -#66 := (iff #18 #63) -#43 := (or #15 #42) -#52 := (or #51 #43) -#57 := (not #52) -#64 := (iff #57 #63) -#61 := (iff #52 #60) -#62 := [rewrite]: #61 -#65 := [monotonicity #62]: #64 -#58 := (iff #18 #57) -#55 := (iff #17 #52) -#48 := (implies #11 #43) -#53 := (iff #48 #52) -#54 := [rewrite]: #53 -#49 := (iff #17 #48) -#46 := (iff #16 #43) -#39 := (implies #36 #15) -#44 := (iff #39 #43) -#45 := [rewrite]: #44 -#40 := (iff #16 #39) -#38 := [rewrite]: #37 -#41 := [monotonicity #38]: #40 -#47 := [trans #41 #45]: #46 -#50 := [monotonicity #47]: #49 -#56 := [trans #50 #54]: #55 -#59 := [monotonicity #56]: #58 -#67 := [trans #59 #65]: #66 -#35 := [asserted]: #18 -#68 := [mp #35 #67]: #63 -#70 := [not-or-elim #68]: #14 -#96 := [monotonicity #70]: #95 -#99 := [trans #96 #97]: #98 -#101 := [symm #99]: #100 -#71 := [not-or-elim #68]: #36 -#102 := [mp #71 #101]: #81 -#82 := (not #81) -#79 := (= f4 f5) -#80 := (not #79) -#83 := (= f3 f5) -#84 := (not #83) -#77 := (and #82 #84 #80) -#69 := [not-or-elim #68]: #11 -#89 := (or #51 #77) -#90 := [def-axiom]: #89 -#93 := [unit-resolution #90 #69]: #77 -#78 := (not #77) -#75 := (or #78 #82) -#76 := [def-axiom]: #75 -#94 := [unit-resolution #76 #93]: #82 -[unit-resolution #94 #102]: false -unsat -016fee2f7f490b7727a4579bedbeaa0a03271f5c 198 0 +2bb827008c60da1ea2c111246c9460521c7fdcf1 198 0 #2 := false decl f5 :: S1 #14 := f5 @@ -3057,36 +2942,7 @@ #141 := [not-or-elim #136]: #93 [mp #141 #215]: false unsat -32fbe7827173348f5f83cc50b7e41574fd04dba5 28 0 -#2 := false -decl f4 :: S2 -#9 := f4 -decl f3 :: S2 -#8 := f3 -#10 := (distinct f3 f4 f3 f4) -#11 := (not #10) -#12 := (not #11) -#44 := (iff #12 false) -#1 := true -#39 := (not true) -#42 := (iff #39 false) -#43 := [rewrite]: #42 -#40 := (iff #12 #39) -#37 := (iff #11 true) -#32 := (not false) -#35 := (iff #32 true) -#36 := [rewrite]: #35 -#33 := (iff #11 #32) -#30 := (iff #10 false) -#31 := [rewrite]: #30 -#34 := [monotonicity #31]: #33 -#38 := [trans #34 #36]: #37 -#41 := [monotonicity #38]: #40 -#45 := [trans #41 #43]: #44 -#29 := [asserted]: #12 -[mp #29 #45]: false -unsat -3e0305075f83d65498b4a11b8ca72526b8e2d46d 134 0 +6ab97d6ee969f9713508f655f280864782914283 134 0 #2 := false decl f5 :: S1 #14 := f5 @@ -3221,38 +3077,44 @@ #121 := [not-or-elim #116]: #81 [mp #121 #151]: false unsat -00d94d0af0e9abf6798a28ecb39a441c7c299833 30 0 -#2 := false -decl f4 :: S2 -#9 := f4 +9cc560481317ca8682cca4f4dca87fc7141c9928 36 0 +#2 := false +decl f5 :: S2 +#10 := f5 decl f3 :: S2 #8 := f3 -#10 := (= f3 f4) -#11 := (not #10) -#12 := (not #11) -#13 := (implies #10 #12) -#14 := (not #13) -#46 := (iff #14 false) -#1 := true -#41 := (not true) -#44 := (iff #41 false) -#45 := [rewrite]: #44 -#42 := (iff #14 #41) -#39 := (iff #13 true) -#34 := (implies #10 #10) -#37 := (iff #34 true) -#38 := [rewrite]: #37 -#35 := (iff #13 #34) -#32 := (iff #12 #10) -#33 := [rewrite]: #32 -#36 := [monotonicity #33]: #35 -#40 := [trans #36 #38]: #39 -#43 := [monotonicity #40]: #42 -#47 := [trans #43 #45]: #46 -#31 := [asserted]: #14 -[mp #31 #47]: false -unsat -78ecef8a6265ee63380698aee66f7437c6eb9791 162 0 +#12 := (= f3 f5) +#13 := (not #12) +decl f4 :: S2 +#9 := f4 +#11 := (distinct f3 f4 f5) +#33 := (not #11) +#34 := (or #33 #13) +#37 := (not #34) +#14 := (implies #11 #13) +#15 := (not #14) +#38 := (iff #15 #37) +#35 := (iff #14 #34) +#36 := [rewrite]: #35 +#39 := [monotonicity #36]: #38 +#32 := [asserted]: #15 +#42 := [mp #32 #39]: #37 +#41 := [not-or-elim #42]: #12 +#52 := (= f4 f5) +#53 := (not #52) +#50 := (= f3 f4) +#51 := (not #50) +#48 := (and #51 #13 #53) +#40 := [not-or-elim #42]: #11 +#58 := (or #33 #48) +#59 := [def-axiom]: #58 +#62 := [unit-resolution #59 #40]: #48 +#49 := (not #48) +#45 := (or #49 #13) +#43 := [def-axiom]: #45 +[unit-resolution #43 #62 #41]: false +unsat +d6c8bfd9e0a388a9f9feea361765c0999d6f6245 162 0 #2 := false decl f5 :: S1 #12 := f5 @@ -3415,48 +3277,85 @@ #178 := [unit-resolution #128 #177]: #70 [unit-resolution #136 #178 #176 #168]: false unsat -11d1529c7a7d7cf3014e0031300d5be1524ea6df 40 0 -#2 := false -decl f5 :: S2 -#11 := f5 +4a0a614367c2678ce3a689bf35cf13d010d59c1c 77 0 +#2 := false decl f4 :: S2 #9 := f4 decl f3 :: S2 #8 := f3 -#14 := (distinct f3 f4 f5) +#81 := (= f3 f4) +decl f6 :: S2 +#12 := f6 +#36 := (= f4 f6) +#100 := (iff #36 #81) +#98 := (iff #81 #36) +#13 := (= f6 f4) +#37 := (iff #13 #36) +#97 := [commutativity]: #37 +#95 := (iff #81 #13) +#14 := (= f3 f6) +#42 := (not #36) #15 := (not #14) -#12 := (= f3 f5) -#10 := (= f3 f4) -#13 := (and #10 #12) -#35 := (not #13) -#36 := (or #35 #15) -#39 := (not #36) +decl f5 :: S2 +#10 := f5 +#11 := (distinct f3 f4 f5) +#51 := (not #11) +#60 := (or #51 #15 #42) +#63 := (not #60) #16 := (implies #13 #15) -#17 := (not #16) -#40 := (iff #17 #39) -#37 := (iff #16 #36) +#17 := (implies #11 #16) +#18 := (not #17) +#66 := (iff #18 #63) +#43 := (or #15 #42) +#52 := (or #51 #43) +#57 := (not #52) +#64 := (iff #57 #63) +#61 := (iff #52 #60) +#62 := [rewrite]: #61 +#65 := [monotonicity #62]: #64 +#58 := (iff #18 #57) +#55 := (iff #17 #52) +#48 := (implies #11 #43) +#53 := (iff #48 #52) +#54 := [rewrite]: #53 +#49 := (iff #17 #48) +#46 := (iff #16 #43) +#39 := (implies #36 #15) +#44 := (iff #39 #43) +#45 := [rewrite]: #44 +#40 := (iff #16 #39) #38 := [rewrite]: #37 #41 := [monotonicity #38]: #40 -#34 := [asserted]: #17 -#44 := [mp #34 #41]: #39 -#46 := [not-or-elim #44]: #14 -#58 := (= f4 f5) -#59 := (not #58) -#57 := (not #12) -#56 := (not #10) -#54 := (and #56 #57 #59) -#55 := (not #54) -#42 := [not-or-elim #44]: #13 -#43 := [and-elim #42]: #10 -#52 := (or #55 #56) -#53 := [def-axiom]: #52 -#66 := [unit-resolution #53 #43]: #55 -#62 := (or #15 #54) -#63 := [def-axiom]: #62 -#67 := [unit-resolution #63 #66]: #15 -[unit-resolution #67 #46]: false -unsat -cbabdc011b8a302b61906c6191f0d7af27e25599 54 0 +#47 := [trans #41 #45]: #46 +#50 := [monotonicity #47]: #49 +#56 := [trans #50 #54]: #55 +#59 := [monotonicity #56]: #58 +#67 := [trans #59 #65]: #66 +#35 := [asserted]: #18 +#68 := [mp #35 #67]: #63 +#70 := [not-or-elim #68]: #14 +#96 := [monotonicity #70]: #95 +#99 := [trans #96 #97]: #98 +#101 := [symm #99]: #100 +#71 := [not-or-elim #68]: #36 +#102 := [mp #71 #101]: #81 +#82 := (not #81) +#79 := (= f4 f5) +#80 := (not #79) +#83 := (= f3 f5) +#84 := (not #83) +#77 := (and #82 #84 #80) +#69 := [not-or-elim #68]: #11 +#89 := (or #51 #77) +#90 := [def-axiom]: #89 +#93 := [unit-resolution #90 #69]: #77 +#78 := (not #77) +#75 := (or #78 #82) +#76 := [def-axiom]: #75 +#94 := [unit-resolution #76 #93]: #82 +[unit-resolution #94 #102]: false +unsat +0758d598d78862cf824e4f1011456a0914ccf6a2 54 0 #2 := false decl f1 :: S1 #4 := f1 @@ -3511,41 +3410,36 @@ #31 := [asserted]: #14 [mp #31 #69]: false unsat -8585364a9de57f2c76854513f54ec42d9a599f64 33 0 -#2 := false -decl f3 :: S2 -#8 := f3 -decl f5 :: S2 -#10 := f5 +1c0d1ac708791c5472b4c7d4618f1f27059a330a 28 0 +#2 := false decl f4 :: S2 #9 := f4 -decl f6 :: S2 -#11 := f6 -#13 := (distinct f6 f4 f5 f3) -#12 := (distinct f3 f4 f5 f6) -#14 := (implies #12 #13) -#15 := (not #14) -#47 := (iff #15 false) -#1 := true -#42 := (not true) -#45 := (iff #42 false) -#46 := [rewrite]: #45 -#43 := (iff #15 #42) -#40 := (iff #14 true) -#35 := (implies #12 #12) -#38 := (iff #35 true) -#39 := [rewrite]: #38 -#36 := (iff #14 #35) -#33 := (iff #13 #12) -#34 := [rewrite]: #33 -#37 := [monotonicity #34]: #36 -#41 := [trans #37 #39]: #40 -#44 := [monotonicity #41]: #43 -#48 := [trans #44 #46]: #47 -#32 := [asserted]: #15 -[mp #32 #48]: false -unsat -ae8651ca265765f3bb029935ca54bf350a439257 144 0 +decl f3 :: S2 +#8 := f3 +#10 := (distinct f3 f4 f3 f4) +#11 := (not #10) +#12 := (not #11) +#44 := (iff #12 false) +#1 := true +#39 := (not true) +#42 := (iff #39 false) +#43 := [rewrite]: #42 +#40 := (iff #12 #39) +#37 := (iff #11 true) +#32 := (not false) +#35 := (iff #32 true) +#36 := [rewrite]: #35 +#33 := (iff #11 #32) +#30 := (iff #10 false) +#31 := [rewrite]: #30 +#34 := [monotonicity #31]: #33 +#38 := [trans #34 #36]: #37 +#41 := [monotonicity #38]: #40 +#45 := [trans #41 #43]: #44 +#29 := [asserted]: #12 +[mp #29 #45]: false +unsat +d823881369082411f62355b0e1a48f25c2d70d32 144 0 #2 := false decl f5 :: S1 #12 := f5 @@ -3690,99 +3584,38 @@ #126 := [not-or-elim #121]: #102 [mp #126 #161]: false unsat -a785d8d462362aedcc845e3ec87cbb8d13b87ae7 91 0 -#2 := false -decl f5 :: S2 -#10 := f5 +2b10f8f450bda227c77b2302c26fe079a9366159 30 0 +#2 := false decl f4 :: S2 #9 := f4 decl f3 :: S2 #8 := f3 -#13 := (distinct f3 f4 f5) -#67 := (= f4 f5) -#68 := (not #67) -#63 := (= f3 f5) -#64 := (not #63) -#61 := (= f3 f4) -#62 := (not #61) -#93 := (and #62 #64 #68) -decl f6 :: S2 -#11 := f6 -#71 := (= f5 f6) -#72 := (not #71) -#69 := (= f4 f6) -#70 := (not #69) -#65 := (= f3 f6) -#66 := (not #65) -#73 := (and #62 #64 #66 #68 #70 #72) -#12 := (distinct f3 f4 f5 f6) -#14 := (distinct f4 f5 f6) -#15 := (and #13 #14) -#35 := (not #12) -#36 := (or #35 #15) -#39 := (not #36) -#16 := (implies #12 #15) -#17 := (not #16) -#40 := (iff #17 #39) -#37 := (iff #16 #36) +#10 := (= f3 f4) +#11 := (not #10) +#12 := (not #11) +#13 := (implies #10 #12) +#14 := (not #13) +#46 := (iff #14 false) +#1 := true +#41 := (not true) +#44 := (iff #41 false) +#45 := [rewrite]: #44 +#42 := (iff #14 #41) +#39 := (iff #13 true) +#34 := (implies #10 #10) +#37 := (iff #34 true) #38 := [rewrite]: #37 -#41 := [monotonicity #38]: #40 -#34 := [asserted]: #17 -#44 := [mp #34 #41]: #39 -#42 := [not-or-elim #44]: #12 -#89 := (or #35 #73) -#90 := [def-axiom]: #89 -#121 := [unit-resolution #90 #42]: #73 -#74 := (not #73) -#75 := (or #74 #62) -#76 := [def-axiom]: #75 -#122 := [unit-resolution #76 #121]: #62 -#81 := (or #74 #68) -#82 := [def-axiom]: #81 -#123 := [unit-resolution #82 #121]: #68 -#77 := (or #74 #64) -#78 := [def-axiom]: #77 -#124 := [unit-resolution #78 #121]: #64 -#101 := (or #93 #61 #63 #67) -#102 := [def-axiom]: #101 -#125 := [unit-resolution #102 #124 #123 #122]: #93 -#94 := (not #93) -#105 := (or #13 #94) -#106 := [def-axiom]: #105 -#126 := [unit-resolution #106 #125]: #13 -#107 := (and #68 #70 #72) -#85 := (or #74 #72) -#86 := [def-axiom]: #85 -#127 := [unit-resolution #86 #121]: #72 -#83 := (or #74 #70) -#84 := [def-axiom]: #83 -#128 := [unit-resolution #84 #121]: #70 -#115 := (or #107 #67 #69 #71) -#116 := [def-axiom]: #115 -#129 := [unit-resolution #116 #128 #127 #123]: #107 -#108 := (not #107) -#119 := (or #14 #108) -#120 := [def-axiom]: #119 -#130 := [unit-resolution #120 #129]: #14 -#54 := (not #14) -#53 := (not #13) -#55 := (or #53 #54) -#43 := (not #15) -#58 := (iff #43 #55) -#56 := (not #55) -#49 := (not #56) -#46 := (iff #49 #55) -#57 := [rewrite]: #46 -#50 := (iff #43 #49) -#51 := (iff #15 #56) -#52 := [rewrite]: #51 -#48 := [monotonicity #52]: #50 -#59 := [trans #48 #57]: #58 -#45 := [not-or-elim #44]: #43 -#60 := [mp #45 #59]: #55 -[unit-resolution #60 #130 #126]: false -unsat -f037e85f433fe4b6db0edebe38d7599d0d5f9a56 121 0 +#35 := (iff #13 #34) +#32 := (iff #12 #10) +#33 := [rewrite]: #32 +#36 := [monotonicity #33]: #35 +#40 := [trans #36 #38]: #39 +#43 := [monotonicity #40]: #42 +#47 := [trans #43 #45]: #46 +#31 := [asserted]: #14 +[mp #31 #47]: false +unsat +8bc104940e4bdef62a563b12c192439ecd08c6c2 121 0 #2 := false decl f5 :: S1 #13 := f5 @@ -3904,7 +3737,48 @@ #115 := [not-or-elim #109]: #90 [mp #115 #138]: false unsat -a79fa106ccc873005f00005d34ba1798389c2876 123 0 +c9f554ce0537c03818658e81b19fe84ceb0185a6 40 0 +#2 := false +decl f5 :: S2 +#11 := f5 +decl f4 :: S2 +#9 := f4 +decl f3 :: S2 +#8 := f3 +#14 := (distinct f3 f4 f5) +#15 := (not #14) +#12 := (= f3 f5) +#10 := (= f3 f4) +#13 := (and #10 #12) +#35 := (not #13) +#36 := (or #35 #15) +#39 := (not #36) +#16 := (implies #13 #15) +#17 := (not #16) +#40 := (iff #17 #39) +#37 := (iff #16 #36) +#38 := [rewrite]: #37 +#41 := [monotonicity #38]: #40 +#34 := [asserted]: #17 +#44 := [mp #34 #41]: #39 +#46 := [not-or-elim #44]: #14 +#58 := (= f4 f5) +#59 := (not #58) +#57 := (not #12) +#56 := (not #10) +#54 := (and #56 #57 #59) +#55 := (not #54) +#42 := [not-or-elim #44]: #13 +#43 := [and-elim #42]: #10 +#52 := (or #55 #56) +#53 := [def-axiom]: #52 +#66 := [unit-resolution #53 #43]: #55 +#62 := (or #15 #54) +#63 := [def-axiom]: #62 +#67 := [unit-resolution #63 #66]: #15 +[unit-resolution #67 #46]: false +unsat +43b0ec204044e8a9ddd46de106038d6a70829412 123 0 #2 := false decl f4 :: S1 #10 := f4 @@ -4028,7 +3902,41 @@ #92 := [not-or-elim #91]: #72 [mp #92 #141]: false unsat -7e097d3ef4e0c4927519d96187a725503177b49b 60 0 +b4be7a04408986e429b4f7b85392a0d8faa4a56b 33 0 +#2 := false +decl f3 :: S2 +#8 := f3 +decl f5 :: S2 +#10 := f5 +decl f4 :: S2 +#9 := f4 +decl f6 :: S2 +#11 := f6 +#13 := (distinct f6 f4 f5 f3) +#12 := (distinct f3 f4 f5 f6) +#14 := (implies #12 #13) +#15 := (not #14) +#47 := (iff #15 false) +#1 := true +#42 := (not true) +#45 := (iff #42 false) +#46 := [rewrite]: #45 +#43 := (iff #15 #42) +#40 := (iff #14 true) +#35 := (implies #12 #12) +#38 := (iff #35 true) +#39 := [rewrite]: #38 +#36 := (iff #14 #35) +#33 := (iff #13 #12) +#34 := [rewrite]: #33 +#37 := [monotonicity #34]: #36 +#41 := [trans #37 #39]: #40 +#44 := [monotonicity #41]: #43 +#48 := [trans #44 #46]: #47 +#32 := [asserted]: #15 +[mp #32 #48]: false +unsat +65d147f6ee969d919cd3b4f850a39f6a343f10f2 60 0 #2 := false decl f1 :: S1 #4 := f1 @@ -4089,33 +3997,99 @@ #34 := [asserted]: #17 [mp #34 #75]: false unsat -273a6dc6f10616be4347838d6cbb54a0b0ad5636 25 0 -#2 := false -#8 := (:var 0 S2) -#9 := (= #8 #8) -#10 := (forall (vars (?v0 S2)) #9) -#11 := (not #10) -#43 := (iff #11 false) -#1 := true -#38 := (not true) -#41 := (iff #38 false) -#42 := [rewrite]: #41 -#39 := (iff #11 #38) -#36 := (iff #10 true) -#31 := (forall (vars (?v0 S2)) true) -#34 := (iff #31 true) -#35 := [elim-unused]: #34 -#32 := (iff #10 #31) -#29 := (iff #9 true) -#30 := [rewrite]: #29 -#33 := [quant-intro #30]: #32 -#37 := [trans #33 #35]: #36 -#40 := [monotonicity #37]: #39 -#44 := [trans #40 #42]: #43 -#28 := [asserted]: #11 -[mp #28 #44]: false -unsat -cb74096d43b27b6df4bed4b142ce429518455d83 121 0 +58054335ac968ebfdfe24a066ff933b0b06bebaf 91 0 +#2 := false +decl f5 :: S2 +#10 := f5 +decl f4 :: S2 +#9 := f4 +decl f3 :: S2 +#8 := f3 +#13 := (distinct f3 f4 f5) +#67 := (= f4 f5) +#68 := (not #67) +#63 := (= f3 f5) +#64 := (not #63) +#61 := (= f3 f4) +#62 := (not #61) +#93 := (and #62 #64 #68) +decl f6 :: S2 +#11 := f6 +#71 := (= f5 f6) +#72 := (not #71) +#69 := (= f4 f6) +#70 := (not #69) +#65 := (= f3 f6) +#66 := (not #65) +#73 := (and #62 #64 #66 #68 #70 #72) +#12 := (distinct f3 f4 f5 f6) +#14 := (distinct f4 f5 f6) +#15 := (and #13 #14) +#35 := (not #12) +#36 := (or #35 #15) +#39 := (not #36) +#16 := (implies #12 #15) +#17 := (not #16) +#40 := (iff #17 #39) +#37 := (iff #16 #36) +#38 := [rewrite]: #37 +#41 := [monotonicity #38]: #40 +#34 := [asserted]: #17 +#44 := [mp #34 #41]: #39 +#42 := [not-or-elim #44]: #12 +#89 := (or #35 #73) +#90 := [def-axiom]: #89 +#121 := [unit-resolution #90 #42]: #73 +#74 := (not #73) +#75 := (or #74 #62) +#76 := [def-axiom]: #75 +#122 := [unit-resolution #76 #121]: #62 +#81 := (or #74 #68) +#82 := [def-axiom]: #81 +#123 := [unit-resolution #82 #121]: #68 +#77 := (or #74 #64) +#78 := [def-axiom]: #77 +#124 := [unit-resolution #78 #121]: #64 +#101 := (or #93 #61 #63 #67) +#102 := [def-axiom]: #101 +#125 := [unit-resolution #102 #124 #123 #122]: #93 +#94 := (not #93) +#105 := (or #13 #94) +#106 := [def-axiom]: #105 +#126 := [unit-resolution #106 #125]: #13 +#107 := (and #68 #70 #72) +#85 := (or #74 #72) +#86 := [def-axiom]: #85 +#127 := [unit-resolution #86 #121]: #72 +#83 := (or #74 #70) +#84 := [def-axiom]: #83 +#128 := [unit-resolution #84 #121]: #70 +#115 := (or #107 #67 #69 #71) +#116 := [def-axiom]: #115 +#129 := [unit-resolution #116 #128 #127 #123]: #107 +#108 := (not #107) +#119 := (or #14 #108) +#120 := [def-axiom]: #119 +#130 := [unit-resolution #120 #129]: #14 +#54 := (not #14) +#53 := (not #13) +#55 := (or #53 #54) +#43 := (not #15) +#58 := (iff #43 #55) +#56 := (not #55) +#49 := (not #56) +#46 := (iff #49 #55) +#57 := [rewrite]: #46 +#50 := (iff #43 #49) +#51 := (iff #15 #56) +#52 := [rewrite]: #51 +#48 := [monotonicity #52]: #50 +#59 := [trans #48 #57]: #58 +#45 := [not-or-elim #44]: #43 +#60 := [mp #45 #59]: #55 +[unit-resolution #60 #130 #126]: false +unsat +baf592f0a849ff17a84a15f9f01a6198981eb2cc 121 0 #2 := false decl f5 :: S1 #12 := f5 @@ -4237,42 +4211,33 @@ #115 := [not-or-elim #109]: #90 [mp #115 #138]: false unsat -2b9ce0054ea55ee81c55715bd6d24aa6896b491c 34 0 -#2 := false -decl f1 :: S1 -#4 := f1 -decl f3 :: (-> S2 S1) +99555255ecbea462034ff141a5c25be38b45dd0f 25 0 +#2 := false #8 := (:var 0 S2) -#9 := (f3 #8) -#10 := (= #9 f1) -#11 := (forall (vars (?v0 S2)) #10) -#12 := (iff #11 #11) -#13 := (not #12) -#49 := (iff #13 false) -#1 := true -#44 := (not true) -#47 := (iff #44 false) -#48 := [rewrite]: #47 -#45 := (iff #13 #44) -#42 := (iff #12 true) -#31 := (= f1 #9) -#34 := (forall (vars (?v0 S2)) #31) -#37 := (iff #34 #34) -#40 := (iff #37 true) -#41 := [rewrite]: #40 -#38 := (iff #12 #37) -#35 := (iff #11 #34) +#9 := (= #8 #8) +#10 := (forall (vars (?v0 S2)) #9) +#11 := (not #10) +#43 := (iff #11 false) +#1 := true +#38 := (not true) +#41 := (iff #38 false) +#42 := [rewrite]: #41 +#39 := (iff #11 #38) +#36 := (iff #10 true) +#31 := (forall (vars (?v0 S2)) true) +#34 := (iff #31 true) +#35 := [elim-unused]: #34 #32 := (iff #10 #31) -#33 := [rewrite]: #32 -#36 := [quant-intro #33]: #35 -#39 := [monotonicity #36 #36]: #38 -#43 := [trans #39 #41]: #42 -#46 := [monotonicity #43]: #45 -#50 := [trans #46 #48]: #49 -#30 := [asserted]: #13 -[mp #30 #50]: false -unsat -f67715569c1aa586d3c8e9a94e103b17f1f34614 84 0 +#29 := (iff #9 true) +#30 := [rewrite]: #29 +#33 := [quant-intro #30]: #32 +#37 := [trans #33 #35]: #36 +#40 := [monotonicity #37]: #39 +#44 := [trans #40 #42]: #43 +#28 := [asserted]: #11 +[mp #28 #44]: false +unsat +882516ca3718492c49c1d6f4497b372b324593e7 84 0 #2 := false decl f4 :: S1 #10 := f4 @@ -4357,7 +4322,90 @@ #96 := [unit-resolution #85 #93]: #83 [unit-resolution #96 #101 #100]: false unsat -4905f6794c524726db3be755d752d3ea53fc4f9a 95 0 +38463bf62ec87c56bbacd6ee7e49d6b7b9e553c8 34 0 +#2 := false +decl f1 :: S1 +#4 := f1 +decl f3 :: (-> S2 S1) +#8 := (:var 0 S2) +#9 := (f3 #8) +#10 := (= #9 f1) +#11 := (forall (vars (?v0 S2)) #10) +#12 := (iff #11 #11) +#13 := (not #12) +#49 := (iff #13 false) +#1 := true +#44 := (not true) +#47 := (iff #44 false) +#48 := [rewrite]: #47 +#45 := (iff #13 #44) +#42 := (iff #12 true) +#31 := (= f1 #9) +#34 := (forall (vars (?v0 S2)) #31) +#37 := (iff #34 #34) +#40 := (iff #37 true) +#41 := [rewrite]: #40 +#38 := (iff #12 #37) +#35 := (iff #11 #34) +#32 := (iff #10 #31) +#33 := [rewrite]: #32 +#36 := [quant-intro #33]: #35 +#39 := [monotonicity #36 #36]: #38 +#43 := [trans #39 #41]: #42 +#46 := [monotonicity #43]: #45 +#50 := [trans #46 #48]: #49 +#30 := [asserted]: #13 +[mp #30 #50]: false +unsat +c1b8de1fea5b45b3a67eb085640285bc1cfbb463 47 0 +#2 := false +decl f1 :: S1 +#4 := f1 +decl f3 :: S1 +#8 := f3 +#9 := (= f3 f1) +decl f4 :: S1 +#10 := f4 +#11 := (= f4 f1) +#13 := (iff #11 #9) +#12 := (iff #9 #11) +#14 := (iff #12 #13) +#15 := (not #14) +#61 := (iff #15 false) +#1 := true +#56 := (not true) +#59 := (iff #56 false) +#60 := [rewrite]: #59 +#57 := (iff #15 #56) +#54 := (iff #14 true) +#36 := (= f1 f4) +#33 := (= f1 f3) +#39 := (iff #33 #36) +#49 := (iff #39 #39) +#52 := (iff #49 true) +#53 := [rewrite]: #52 +#50 := (iff #14 #49) +#47 := (iff #13 #39) +#42 := (iff #36 #33) +#45 := (iff #42 #39) +#46 := [rewrite]: #45 +#43 := (iff #13 #42) +#34 := (iff #9 #33) +#35 := [rewrite]: #34 +#37 := (iff #11 #36) +#38 := [rewrite]: #37 +#44 := [monotonicity #38 #35]: #43 +#48 := [trans #44 #46]: #47 +#40 := (iff #12 #39) +#41 := [monotonicity #35 #38]: #40 +#51 := [monotonicity #41 #48]: #50 +#55 := [trans #51 #53]: #54 +#58 := [monotonicity #55]: #57 +#62 := [trans #58 #60]: #61 +#32 := [asserted]: #15 +[mp #32 #62]: false +unsat +1709b6be330c8fe39899c2448147237ac354e6ac 95 0 #2 := false decl f3 :: (-> S2 S1) decl ?v0!0 :: S2 @@ -4453,55 +4501,49 @@ #102 := [and-elim #101]: #76 [unit-resolution #102 #115]: false unsat -8abc924327822787c2f5c4e6e7680303fbae57f8 47 0 +f7433bc79c74698b7150f9252f1663dfbc7714ae 41 0 #2 := false decl f1 :: S1 #4 := f1 decl f3 :: S1 #8 := f3 #9 := (= f3 f1) -decl f4 :: S1 -#10 := f4 -#11 := (= f4 f1) -#13 := (iff #11 #9) -#12 := (iff #9 #11) -#14 := (iff #12 #13) -#15 := (not #14) -#61 := (iff #15 false) -#1 := true -#56 := (not true) -#59 := (iff #56 false) -#60 := [rewrite]: #59 -#57 := (iff #15 #56) -#54 := (iff #14 true) -#36 := (= f1 f4) -#33 := (= f1 f3) -#39 := (iff #33 #36) -#49 := (iff #39 #39) -#52 := (iff #49 true) -#53 := [rewrite]: #52 -#50 := (iff #14 #49) -#47 := (iff #13 #39) -#42 := (iff #36 #33) -#45 := (iff #42 #39) -#46 := [rewrite]: #45 -#43 := (iff #13 #42) -#34 := (iff #9 #33) -#35 := [rewrite]: #34 -#37 := (iff #11 #36) -#38 := [rewrite]: #37 -#44 := [monotonicity #38 #35]: #43 -#48 := [trans #44 #46]: #47 -#40 := (iff #12 #39) -#41 := [monotonicity #35 #38]: #40 -#51 := [monotonicity #41 #48]: #50 -#55 := [trans #51 #53]: #54 -#58 := [monotonicity #55]: #57 -#62 := [trans #58 #60]: #61 -#32 := [asserted]: #15 -[mp #32 #62]: false -unsat -48a51f989350a0e584db03a2950a272906be29b0 300 0 +#10 := (not #9) +#11 := (iff #9 #10) +#12 := (not #11) +#13 := (not #12) +#56 := (iff #13 false) +#1 := true +#51 := (not true) +#54 := (iff #51 false) +#55 := [rewrite]: #54 +#52 := (iff #13 #51) +#49 := (iff #12 true) +#44 := (not false) +#47 := (iff #44 true) +#48 := [rewrite]: #47 +#45 := (iff #12 #44) +#42 := (iff #11 false) +#31 := (= f1 f3) +#34 := (not #31) +#37 := (iff #31 #34) +#40 := (iff #37 false) +#41 := [rewrite]: #40 +#38 := (iff #11 #37) +#35 := (iff #10 #34) +#32 := (iff #9 #31) +#33 := [rewrite]: #32 +#36 := [monotonicity #33]: #35 +#39 := [monotonicity #33 #36]: #38 +#43 := [trans #39 #41]: #42 +#46 := [monotonicity #43]: #45 +#50 := [trans #46 #48]: #49 +#53 := [monotonicity #50]: #52 +#57 := [trans #53 #55]: #56 +#30 := [asserted]: #13 +[mp #30 #57]: false +unsat +9e92d358b4d87bdfb0816755e800e46f3d76b51e 300 0 #2 := false decl f4 :: (-> S2 S1) decl ?v0!1 :: S2 @@ -4802,49 +4844,68 @@ #609 := [quant-inst]: #615 [unit-resolution #609 #257 #603]: false unsat -3731fdf00230f94750072246058d6aec5d30ad57 41 0 +4f091688bc1fe0b9d20810549460b1f682c6b9ee 60 0 #2 := false decl f1 :: S1 #4 := f1 decl f3 :: S1 #8 := f3 #9 := (= f3 f1) -#10 := (not #9) -#11 := (iff #9 #10) -#12 := (not #11) -#13 := (not #12) -#56 := (iff #13 false) -#1 := true -#51 := (not true) -#54 := (iff #51 false) -#55 := [rewrite]: #54 -#52 := (iff #13 #51) -#49 := (iff #12 true) -#44 := (not false) -#47 := (iff #44 true) -#48 := [rewrite]: #47 -#45 := (iff #12 #44) -#42 := (iff #11 false) -#31 := (= f1 f3) -#34 := (not #31) -#37 := (iff #31 #34) -#40 := (iff #37 false) -#41 := [rewrite]: #40 -#38 := (iff #11 #37) -#35 := (iff #10 #34) -#32 := (iff #9 #31) -#33 := [rewrite]: #32 -#36 := [monotonicity #33]: #35 -#39 := [monotonicity #33 #36]: #38 -#43 := [trans #39 #41]: #42 -#46 := [monotonicity #43]: #45 -#50 := [trans #46 #48]: #49 -#53 := [monotonicity #50]: #52 -#57 := [trans #53 #55]: #56 -#30 := [asserted]: #13 -[mp #30 #57]: false -unsat -8d1c135b088bf498c079d2958e8764a8092679cf 201 0 +#14 := (not #9) +decl f4 :: S1 +#10 := f4 +#11 := (= f4 f1) +#13 := (not #11) +#15 := (implies #13 #14) +#12 := (implies #9 #11) +#16 := (iff #12 #15) +#17 := (not #16) +#74 := (iff #17 false) +#1 := true +#69 := (not true) +#72 := (iff #69 false) +#73 := [rewrite]: #72 +#70 := (iff #17 #69) +#67 := (iff #16 true) +#38 := (= f1 f4) +#35 := (= f1 f3) +#44 := (not #35) +#45 := (or #44 #38) +#62 := (iff #45 #45) +#65 := (iff #62 true) +#66 := [rewrite]: #65 +#63 := (iff #16 #62) +#60 := (iff #15 #45) +#50 := (not #38) +#55 := (implies #50 #44) +#58 := (iff #55 #45) +#59 := [rewrite]: #58 +#56 := (iff #15 #55) +#53 := (iff #14 #44) +#36 := (iff #9 #35) +#37 := [rewrite]: #36 +#54 := [monotonicity #37]: #53 +#51 := (iff #13 #50) +#39 := (iff #11 #38) +#40 := [rewrite]: #39 +#52 := [monotonicity #40]: #51 +#57 := [monotonicity #52 #54]: #56 +#61 := [trans #57 #59]: #60 +#48 := (iff #12 #45) +#41 := (implies #35 #38) +#46 := (iff #41 #45) +#47 := [rewrite]: #46 +#42 := (iff #12 #41) +#43 := [monotonicity #37 #40]: #42 +#49 := [trans #43 #47]: #48 +#64 := [monotonicity #49 #61]: #63 +#68 := [trans #64 #66]: #67 +#71 := [monotonicity #68]: #70 +#75 := [trans #71 #73]: #74 +#34 := [asserted]: #17 +[mp #34 #75]: false +unsat +27355f82e9f880139491584519c5f457388ba8e4 201 0 #2 := false decl f3 :: (-> S2 S1) #8 := (:var 0 S2) @@ -5046,68 +5107,80 @@ #211 := [quant-inst]: #320 [unit-resolution #211 #595 #319]: false unsat -c4682bd721e64af9e51bd86d6d03d59662baa782 60 0 +45c3801b7a47fb920cbab9584d402164b65dd356 72 0 #2 := false decl f1 :: S1 #4 := f1 decl f3 :: S1 #8 := f3 #9 := (= f3 f1) -#14 := (not #9) -decl f4 :: S1 -#10 := f4 -#11 := (= f4 f1) -#13 := (not #11) -#15 := (implies #13 #14) -#12 := (implies #9 #11) -#16 := (iff #12 #15) -#17 := (not #16) -#74 := (iff #17 false) -#1 := true -#69 := (not true) -#72 := (iff #69 false) -#73 := [rewrite]: #72 -#70 := (iff #17 #69) -#67 := (iff #16 true) -#38 := (= f1 f4) -#35 := (= f1 f3) -#44 := (not #35) -#45 := (or #44 #38) -#62 := (iff #45 #45) -#65 := (iff #62 true) -#66 := [rewrite]: #65 -#63 := (iff #16 #62) -#60 := (iff #15 #45) -#50 := (not #38) -#55 := (implies #50 #44) -#58 := (iff #55 #45) -#59 := [rewrite]: #58 -#56 := (iff #15 #55) -#53 := (iff #14 #44) -#36 := (iff #9 #35) -#37 := [rewrite]: #36 -#54 := [monotonicity #37]: #53 -#51 := (iff #13 #50) -#39 := (iff #11 #38) -#40 := [rewrite]: #39 -#52 := [monotonicity #40]: #51 -#57 := [monotonicity #52 #54]: #56 -#61 := [trans #57 #59]: #60 -#48 := (iff #12 #45) -#41 := (implies #35 #38) -#46 := (iff #41 #45) -#47 := [rewrite]: #46 -#42 := (iff #12 #41) -#43 := [monotonicity #37 #40]: #42 -#49 := [trans #43 #47]: #48 -#64 := [monotonicity #49 #61]: #63 -#68 := [trans #64 #66]: #67 -#71 := [monotonicity #68]: #70 -#75 := [trans #71 #73]: #74 -#34 := [asserted]: #17 -[mp #34 #75]: false -unsat -c2e19ee7461e4fbfe65c34d98111e3914f852baf 244 0 +#10 := (iff #9 #9) +#11 := (iff #9 #10) +#12 := (iff #9 #11) +#13 := (iff #9 #12) +#14 := (iff #9 #13) +#15 := (iff #9 #14) +#16 := (iff #9 #15) +#17 := (iff #9 #16) +#18 := (iff #9 #17) +#19 := (not #18) +#87 := (iff #19 false) +#1 := true +#82 := (not true) +#85 := (iff #82 false) +#86 := [rewrite]: #85 +#83 := (iff #19 #82) +#80 := (iff #18 true) +#37 := (= f1 f3) +#40 := (iff #37 #37) +#43 := (iff #40 true) +#44 := [rewrite]: #43 +#78 := (iff #18 #40) +#76 := (iff #17 #37) +#47 := (iff #37 true) +#50 := (iff #47 #37) +#51 := [rewrite]: #50 +#74 := (iff #17 #47) +#72 := (iff #16 true) +#70 := (iff #16 #40) +#68 := (iff #15 #37) +#66 := (iff #15 #47) +#64 := (iff #14 true) +#62 := (iff #14 #40) +#60 := (iff #13 #37) +#58 := (iff #13 #47) +#56 := (iff #12 true) +#54 := (iff #12 #40) +#52 := (iff #11 #37) +#48 := (iff #11 #47) +#45 := (iff #10 true) +#41 := (iff #10 #40) +#38 := (iff #9 #37) +#39 := [rewrite]: #38 +#42 := [monotonicity #39 #39]: #41 +#46 := [trans #42 #44]: #45 +#49 := [monotonicity #39 #46]: #48 +#53 := [trans #49 #51]: #52 +#55 := [monotonicity #39 #53]: #54 +#57 := [trans #55 #44]: #56 +#59 := [monotonicity #39 #57]: #58 +#61 := [trans #59 #51]: #60 +#63 := [monotonicity #39 #61]: #62 +#65 := [trans #63 #44]: #64 +#67 := [monotonicity #39 #65]: #66 +#69 := [trans #67 #51]: #68 +#71 := [monotonicity #39 #69]: #70 +#73 := [trans #71 #44]: #72 +#75 := [monotonicity #39 #73]: #74 +#77 := [trans #75 #51]: #76 +#79 := [monotonicity #39 #77]: #78 +#81 := [trans #79 #44]: #80 +#84 := [monotonicity #81]: #83 +#88 := [trans #84 #86]: #87 +#36 := [asserted]: #19 +[mp #36 #88]: false +unsat +392dbae729e3baf705095d1fa80eee1de09292e0 244 0 #2 := false decl f3 :: (-> S2 S1) decl ?v0!0 :: S2 @@ -5352,80 +5425,33 @@ #616 := [mp #343 #237]: #621 [unit-resolution #616 #629 #330]: false unsat -36d1352b395221a431006c238d124165e2b745a3 72 0 -#2 := false -decl f1 :: S1 -#4 := f1 -decl f3 :: S1 -#8 := f3 -#9 := (= f3 f1) -#10 := (iff #9 #9) -#11 := (iff #9 #10) -#12 := (iff #9 #11) -#13 := (iff #9 #12) -#14 := (iff #9 #13) -#15 := (iff #9 #14) -#16 := (iff #9 #15) -#17 := (iff #9 #16) -#18 := (iff #9 #17) -#19 := (not #18) -#87 := (iff #19 false) -#1 := true -#82 := (not true) -#85 := (iff #82 false) -#86 := [rewrite]: #85 -#83 := (iff #19 #82) -#80 := (iff #18 true) -#37 := (= f1 f3) -#40 := (iff #37 #37) -#43 := (iff #40 true) -#44 := [rewrite]: #43 -#78 := (iff #18 #40) -#76 := (iff #17 #37) -#47 := (iff #37 true) -#50 := (iff #47 #37) -#51 := [rewrite]: #50 -#74 := (iff #17 #47) -#72 := (iff #16 true) -#70 := (iff #16 #40) -#68 := (iff #15 #37) -#66 := (iff #15 #47) -#64 := (iff #14 true) -#62 := (iff #14 #40) -#60 := (iff #13 #37) -#58 := (iff #13 #47) -#56 := (iff #12 true) -#54 := (iff #12 #40) -#52 := (iff #11 #37) -#48 := (iff #11 #47) -#45 := (iff #10 true) -#41 := (iff #10 #40) -#38 := (iff #9 #37) -#39 := [rewrite]: #38 -#42 := [monotonicity #39 #39]: #41 -#46 := [trans #42 #44]: #45 -#49 := [monotonicity #39 #46]: #48 -#53 := [trans #49 #51]: #52 -#55 := [monotonicity #39 #53]: #54 -#57 := [trans #55 #44]: #56 -#59 := [monotonicity #39 #57]: #58 -#61 := [trans #59 #51]: #60 -#63 := [monotonicity #39 #61]: #62 -#65 := [trans #63 #44]: #64 -#67 := [monotonicity #39 #65]: #66 -#69 := [trans #67 #51]: #68 -#71 := [monotonicity #39 #69]: #70 -#73 := [trans #71 #44]: #72 -#75 := [monotonicity #39 #73]: #74 -#77 := [trans #75 #51]: #76 -#79 := [monotonicity #39 #77]: #78 -#81 := [trans #79 #44]: #80 -#84 := [monotonicity #81]: #83 -#88 := [trans #84 #86]: #87 -#36 := [asserted]: #19 -[mp #36 #88]: false -unsat -35b6826e84c97e2db1e3cd91ad69abb16f131b93 49 0 +17f9e5be62669f8acfb50769a06b9e675836393a 25 0 +#2 := false +#8 := (:var 0 S2) +#9 := (= #8 #8) +#10 := (exists (vars (?v0 S2)) #9) +#11 := (not #10) +#43 := (iff #11 false) +#1 := true +#38 := (not true) +#41 := (iff #38 false) +#42 := [rewrite]: #41 +#39 := (iff #11 #38) +#36 := (iff #10 true) +#31 := (exists (vars (?v0 S2)) true) +#34 := (iff #31 true) +#35 := [elim-unused]: #34 +#32 := (iff #10 #31) +#29 := (iff #9 true) +#30 := [rewrite]: #29 +#33 := [quant-intro #30]: #32 +#37 := [trans #33 #35]: #36 +#40 := [monotonicity #37]: #39 +#44 := [trans #40 #42]: #43 +#28 := [asserted]: #11 +[mp #28 #44]: false +unsat +f1a2d09c5ae97f135cf03b06910805f4101ff509 49 0 #2 := false decl f1 :: S1 #4 := f1 @@ -5475,33 +5501,42 @@ #35 := [asserted]: #18 [mp #35 #65]: false unsat -150a137e969806c6900cabc66bb27970472c7ba1 25 0 -#2 := false +cc5c33d65644020014560f00b4d749ba7046207d 34 0 +#2 := false +decl f1 :: S1 +#4 := f1 +decl f3 :: (-> S2 S1) #8 := (:var 0 S2) -#9 := (= #8 #8) -#10 := (exists (vars (?v0 S2)) #9) -#11 := (not #10) -#43 := (iff #11 false) -#1 := true -#38 := (not true) -#41 := (iff #38 false) -#42 := [rewrite]: #41 -#39 := (iff #11 #38) -#36 := (iff #10 true) -#31 := (exists (vars (?v0 S2)) true) -#34 := (iff #31 true) -#35 := [elim-unused]: #34 +#9 := (f3 #8) +#10 := (= #9 f1) +#11 := (exists (vars (?v0 S2)) #10) +#12 := (iff #11 #11) +#13 := (not #12) +#49 := (iff #13 false) +#1 := true +#44 := (not true) +#47 := (iff #44 false) +#48 := [rewrite]: #47 +#45 := (iff #13 #44) +#42 := (iff #12 true) +#31 := (= f1 #9) +#34 := (exists (vars (?v0 S2)) #31) +#37 := (iff #34 #34) +#40 := (iff #37 true) +#41 := [rewrite]: #40 +#38 := (iff #12 #37) +#35 := (iff #11 #34) #32 := (iff #10 #31) -#29 := (iff #9 true) -#30 := [rewrite]: #29 -#33 := [quant-intro #30]: #32 -#37 := [trans #33 #35]: #36 -#40 := [monotonicity #37]: #39 -#44 := [trans #40 #42]: #43 -#28 := [asserted]: #11 -[mp #28 #44]: false -unsat -2e6f238fe51369f58bc6454a136532e4c6f3bd82 136 0 +#33 := [rewrite]: #32 +#36 := [quant-intro #33]: #35 +#39 := [monotonicity #36 #36]: #38 +#43 := [trans #39 #41]: #42 +#46 := [monotonicity #43]: #45 +#50 := [trans #46 #48]: #49 +#30 := [asserted]: #13 +[mp #30 #50]: false +unsat +c0659ef2eb86b9abb113a352ce049de7f5cf2d4d 136 0 #2 := false decl f3 :: (-> S2 S2 S1) decl f4 :: S2 @@ -5638,167 +5673,7 @@ #593 := [quant-inst]: #592 [unit-resolution #593 #610 #258]: false unsat -b28b1c7eb24edf6acf5466ddd1304a6b881a60f9 34 0 -#2 := false -decl f1 :: S1 -#4 := f1 -decl f3 :: (-> S2 S1) -#8 := (:var 0 S2) -#9 := (f3 #8) -#10 := (= #9 f1) -#11 := (exists (vars (?v0 S2)) #10) -#12 := (iff #11 #11) -#13 := (not #12) -#49 := (iff #13 false) -#1 := true -#44 := (not true) -#47 := (iff #44 false) -#48 := [rewrite]: #47 -#45 := (iff #13 #44) -#42 := (iff #12 true) -#31 := (= f1 #9) -#34 := (exists (vars (?v0 S2)) #31) -#37 := (iff #34 #34) -#40 := (iff #37 true) -#41 := [rewrite]: #40 -#38 := (iff #12 #37) -#35 := (iff #11 #34) -#32 := (iff #10 #31) -#33 := [rewrite]: #32 -#36 := [quant-intro #33]: #35 -#39 := [monotonicity #36 #36]: #38 -#43 := [trans #39 #41]: #42 -#46 := [monotonicity #43]: #45 -#50 := [trans #46 #48]: #49 -#30 := [asserted]: #13 -[mp #30 #50]: false -unsat -a15d00efdb475e30bdd25ef3ed2227a8ea9c519f 124 0 -#2 := false -decl f3 :: (-> S2 S1) -decl f4 :: (-> S2 S2) -decl f5 :: S2 -#16 := f5 -#20 := (f4 f5) -#21 := (f4 #20) -#154 := (f3 #21) -decl f1 :: S1 -#4 := f1 -#241 := (= f1 #154) -#152 := (f3 #20) -#239 := (= f1 #152) -#17 := (f3 f5) -#62 := (= f1 #17) -#8 := (:var 0 S2) -#11 := (f4 #8) -#12 := (f3 #11) -#47 := (= f1 #12) -#9 := (f3 #8) -#44 := (= f1 #9) -#53 := (not #44) -#54 := (or #53 #47) -#59 := (forall (vars (?v0 S2)) #54) -#65 := (and #59 #62) -#22 := (f4 #21) -#23 := (f3 #22) -#68 := (= f1 #23) -#74 := (not #65) -#75 := (or #74 #68) -#80 := (not #75) -#24 := (= #23 f1) -#18 := (= #17 f1) -#13 := (= #12 f1) -#10 := (= #9 f1) -#14 := (implies #10 #13) -#15 := (forall (vars (?v0 S2)) #14) -#19 := (and #15 #18) -#25 := (implies #19 #24) -#26 := (not #25) -#81 := (iff #26 #80) -#78 := (iff #25 #75) -#71 := (implies #65 #68) -#76 := (iff #71 #75) -#77 := [rewrite]: #76 -#72 := (iff #25 #71) -#69 := (iff #24 #68) -#70 := [rewrite]: #69 -#66 := (iff #19 #65) -#63 := (iff #18 #62) -#64 := [rewrite]: #63 -#60 := (iff #15 #59) -#57 := (iff #14 #54) -#50 := (implies #44 #47) -#55 := (iff #50 #54) -#56 := [rewrite]: #55 -#51 := (iff #14 #50) -#48 := (iff #13 #47) -#49 := [rewrite]: #48 -#45 := (iff #10 #44) -#46 := [rewrite]: #45 -#52 := [monotonicity #46 #49]: #51 -#58 := [trans #52 #56]: #57 -#61 := [quant-intro #58]: #60 -#67 := [monotonicity #61 #64]: #66 -#73 := [monotonicity #67 #70]: #72 -#79 := [trans #73 #77]: #78 -#82 := [monotonicity #79]: #81 -#43 := [asserted]: #26 -#85 := [mp #43 #82]: #80 -#83 := [not-or-elim #85]: #65 -#86 := [and-elim #83]: #62 -#570 := (pattern #11) -#571 := (forall (vars (?v0 S2)) (:pat #570) #54) -#574 := (iff #59 #571) -#572 := (iff #54 #54) -#573 := [refl]: #572 -#575 := [quant-intro #573]: #574 -#100 := (~ #59 #59) -#98 := (~ #54 #54) -#99 := [refl]: #98 -#101 := [nnf-pos #99]: #100 -#84 := [and-elim #83]: #59 -#91 := [mp~ #84 #101]: #59 -#576 := [mp #91 #575]: #571 -#153 := (not #62) -#232 := (not #571) -#243 := (or #232 #153 #239) -#240 := (or #153 #239) -#244 := (or #232 #240) -#245 := (iff #244 #243) -#242 := [rewrite]: #245 -#172 := [quant-inst]: #244 -#246 := [mp #172 #242]: #243 -#208 := [unit-resolution #246 #576 #86]: #239 -#225 := (not #239) -#351 := (or #232 #225 #241) -#562 := (or #225 #241) -#558 := (or #232 #562) -#231 := (iff #558 #351) -#565 := [rewrite]: #231 -#230 := [quant-inst]: #558 -#566 := [mp #230 #565]: #351 -#209 := [unit-resolution #566 #576 #208]: #241 -#87 := (not #68) -#88 := [not-or-elim #85]: #87 -#564 := (not #241) -#569 := (or #232 #68 #564) -#219 := (or #564 #68) -#559 := (or #232 #219) -#545 := (iff #559 #569) -#567 := (or #68 #564) -#222 := (or #232 #567) -#561 := (iff #222 #569) -#202 := [rewrite]: #561 -#560 := (iff #559 #222) -#568 := (iff #219 #567) -#563 := [rewrite]: #568 -#218 := [monotonicity #563]: #560 -#206 := [trans #218 #202]: #545 -#217 := [quant-inst]: #559 -#207 := [mp #217 #206]: #569 -[unit-resolution #207 #576 #88 #209]: false -unsat -043713d1f8d615cef2b57b8a8ae1162f9c51de61 258 0 +c32773e30c401fac91663753c8932e4d15be0cde 258 0 #2 := false decl f4 :: (-> S2 S1) decl ?v0!2 :: S2 @@ -6057,72 +5932,132 @@ #579 := [quant-inst]: #578 [unit-resolution #579 #432 #573]: false unsat -0e7fa24f774b5d4840baee92f17adcdc6e36469d 64 0 -#2 := false -decl f3 :: (-> S2 S2 S3) -decl f4 :: S2 -#14 := f4 +c94ebedde81defab6c020062b6dae6aec5aa6893 124 0 +#2 := false +decl f3 :: (-> S2 S1) +decl f4 :: (-> S2 S2) decl f5 :: S2 #16 := f5 -#18 := (f3 f5 f4) -#17 := (f3 f4 f5) -#19 := (= #17 #18) -#62 := (not #19) -#8 := (:var 1 S2) -#9 := (:var 0 S2) -#11 := (f3 #9 #8) -#10 := (f3 #8 #9) -#12 := (= #10 #11) -#13 := (forall (vars (?v0 S2) (?v1 S2)) #12) -#52 := (not #13) -#53 := (or #52 #19) -#58 := (not #53) -#15 := (= f4 f4) -#20 := (and #15 #19) -#21 := (implies #13 #20) -#22 := (not #21) -#59 := (iff #22 #58) -#56 := (iff #21 #53) -#49 := (implies #13 #19) -#54 := (iff #49 #53) -#55 := [rewrite]: #54 -#50 := (iff #21 #49) -#47 := (iff #20 #19) -#1 := true -#42 := (and true #19) -#45 := (iff #42 #19) +#20 := (f4 f5) +#21 := (f4 #20) +#154 := (f3 #21) +decl f1 :: S1 +#4 := f1 +#241 := (= f1 #154) +#152 := (f3 #20) +#239 := (= f1 #152) +#17 := (f3 f5) +#62 := (= f1 #17) +#8 := (:var 0 S2) +#11 := (f4 #8) +#12 := (f3 #11) +#47 := (= f1 #12) +#9 := (f3 #8) +#44 := (= f1 #9) +#53 := (not #44) +#54 := (or #53 #47) +#59 := (forall (vars (?v0 S2)) #54) +#65 := (and #59 #62) +#22 := (f4 #21) +#23 := (f3 #22) +#68 := (= f1 #23) +#74 := (not #65) +#75 := (or #74 #68) +#80 := (not #75) +#24 := (= #23 f1) +#18 := (= #17 f1) +#13 := (= #12 f1) +#10 := (= #9 f1) +#14 := (implies #10 #13) +#15 := (forall (vars (?v0 S2)) #14) +#19 := (and #15 #18) +#25 := (implies #19 #24) +#26 := (not #25) +#81 := (iff #26 #80) +#78 := (iff #25 #75) +#71 := (implies #65 #68) +#76 := (iff #71 #75) +#77 := [rewrite]: #76 +#72 := (iff #25 #71) +#69 := (iff #24 #68) +#70 := [rewrite]: #69 +#66 := (iff #19 #65) +#63 := (iff #18 #62) +#64 := [rewrite]: #63 +#60 := (iff #15 #59) +#57 := (iff #14 #54) +#50 := (implies #44 #47) +#55 := (iff #50 #54) +#56 := [rewrite]: #55 +#51 := (iff #14 #50) +#48 := (iff #13 #47) +#49 := [rewrite]: #48 +#45 := (iff #10 #44) #46 := [rewrite]: #45 -#43 := (iff #20 #42) -#40 := (iff #15 true) -#41 := [rewrite]: #40 -#44 := [monotonicity #41]: #43 -#48 := [trans #44 #46]: #47 -#51 := [monotonicity #48]: #50 -#57 := [trans #51 #55]: #56 -#60 := [monotonicity #57]: #59 -#39 := [asserted]: #22 -#63 := [mp #39 #60]: #58 -#64 := [not-or-elim #63]: #62 -#547 := (pattern #11) -#546 := (pattern #10) -#548 := (forall (vars (?v0 S2) (?v1 S2)) (:pat #546 #547) #12) -#551 := (iff #13 #548) -#549 := (iff #12 #12) -#550 := [refl]: #549 -#552 := [quant-intro #550]: #551 -#74 := (~ #13 #13) -#72 := (~ #12 #12) -#73 := [refl]: #72 -#75 := [nnf-pos #73]: #74 -#61 := [not-or-elim #63]: #13 -#67 := [mp~ #61 #75]: #13 -#553 := [mp #67 #552]: #548 -#129 := (not #548) -#216 := (or #129 #19) -#130 := [quant-inst]: #216 -[unit-resolution #130 #553 #64]: false -unsat -7fcf7ce1521f6f1599b2fe6f93ba5dee1cbd7b76 222 0 +#52 := [monotonicity #46 #49]: #51 +#58 := [trans #52 #56]: #57 +#61 := [quant-intro #58]: #60 +#67 := [monotonicity #61 #64]: #66 +#73 := [monotonicity #67 #70]: #72 +#79 := [trans #73 #77]: #78 +#82 := [monotonicity #79]: #81 +#43 := [asserted]: #26 +#85 := [mp #43 #82]: #80 +#83 := [not-or-elim #85]: #65 +#86 := [and-elim #83]: #62 +#570 := (pattern #11) +#571 := (forall (vars (?v0 S2)) (:pat #570) #54) +#574 := (iff #59 #571) +#572 := (iff #54 #54) +#573 := [refl]: #572 +#575 := [quant-intro #573]: #574 +#100 := (~ #59 #59) +#98 := (~ #54 #54) +#99 := [refl]: #98 +#101 := [nnf-pos #99]: #100 +#84 := [and-elim #83]: #59 +#91 := [mp~ #84 #101]: #59 +#576 := [mp #91 #575]: #571 +#153 := (not #62) +#232 := (not #571) +#243 := (or #232 #153 #239) +#240 := (or #153 #239) +#244 := (or #232 #240) +#245 := (iff #244 #243) +#242 := [rewrite]: #245 +#172 := [quant-inst]: #244 +#246 := [mp #172 #242]: #243 +#208 := [unit-resolution #246 #576 #86]: #239 +#225 := (not #239) +#351 := (or #232 #225 #241) +#562 := (or #225 #241) +#558 := (or #232 #562) +#231 := (iff #558 #351) +#565 := [rewrite]: #231 +#230 := [quant-inst]: #558 +#566 := [mp #230 #565]: #351 +#209 := [unit-resolution #566 #576 #208]: #241 +#87 := (not #68) +#88 := [not-or-elim #85]: #87 +#564 := (not #241) +#569 := (or #232 #68 #564) +#219 := (or #564 #68) +#559 := (or #232 #219) +#545 := (iff #559 #569) +#567 := (or #68 #564) +#222 := (or #232 #567) +#561 := (iff #222 #569) +#202 := [rewrite]: #561 +#560 := (iff #559 #222) +#568 := (iff #219 #567) +#563 := [rewrite]: #568 +#218 := [monotonicity #563]: #560 +#206 := [trans #218 #202]: #545 +#217 := [quant-inst]: #559 +#207 := [mp #217 #206]: #569 +[unit-resolution #207 #576 #88 #209]: false +unsat +29a00825da3cfb6f45d89e9d7c24512d752b68eb 222 0 #2 := false decl f3 :: (-> S2 S1) decl ?v0!0 :: S2 @@ -6345,7 +6280,122 @@ #610 := [quant-inst]: #609 [unit-resolution #610 #339 #320]: false unsat -e97ea15e571d05d4542f0baceec935a45a20adf5 250 0 +d6381b0e6162629304a9edd3be9ca3c00c481087 64 0 +#2 := false +decl f3 :: (-> S2 S2 S3) +decl f4 :: S2 +#14 := f4 +decl f5 :: S2 +#16 := f5 +#18 := (f3 f5 f4) +#17 := (f3 f4 f5) +#19 := (= #17 #18) +#62 := (not #19) +#8 := (:var 1 S2) +#9 := (:var 0 S2) +#11 := (f3 #9 #8) +#10 := (f3 #8 #9) +#12 := (= #10 #11) +#13 := (forall (vars (?v0 S2) (?v1 S2)) #12) +#52 := (not #13) +#53 := (or #52 #19) +#58 := (not #53) +#15 := (= f4 f4) +#20 := (and #15 #19) +#21 := (implies #13 #20) +#22 := (not #21) +#59 := (iff #22 #58) +#56 := (iff #21 #53) +#49 := (implies #13 #19) +#54 := (iff #49 #53) +#55 := [rewrite]: #54 +#50 := (iff #21 #49) +#47 := (iff #20 #19) +#1 := true +#42 := (and true #19) +#45 := (iff #42 #19) +#46 := [rewrite]: #45 +#43 := (iff #20 #42) +#40 := (iff #15 true) +#41 := [rewrite]: #40 +#44 := [monotonicity #41]: #43 +#48 := [trans #44 #46]: #47 +#51 := [monotonicity #48]: #50 +#57 := [trans #51 #55]: #56 +#60 := [monotonicity #57]: #59 +#39 := [asserted]: #22 +#63 := [mp #39 #60]: #58 +#64 := [not-or-elim #63]: #62 +#547 := (pattern #11) +#546 := (pattern #10) +#548 := (forall (vars (?v0 S2) (?v1 S2)) (:pat #546 #547) #12) +#551 := (iff #13 #548) +#549 := (iff #12 #12) +#550 := [refl]: #549 +#552 := [quant-intro #550]: #551 +#74 := (~ #13 #13) +#72 := (~ #12 #12) +#73 := [refl]: #72 +#75 := [nnf-pos #73]: #74 +#61 := [not-or-elim #63]: #13 +#67 := [mp~ #61 #75]: #13 +#553 := [mp #67 #552]: #548 +#129 := (not #548) +#216 := (or #129 #19) +#130 := [quant-inst]: #216 +[unit-resolution #130 #553 #64]: false +unsat +a59143663975583139cdacfbcd52f21f568835d6 49 0 +#2 := false +decl f1 :: S1 +#4 := f1 +decl f3 :: (-> S2 S4 S1) +#9 := (:var 0 S4) +#13 := (:var 1 S2) +#14 := (f3 #13 #9) +#15 := (= #14 f1) +#16 := (exists (vars (?v0 S2) (?v1 S4)) #15) +#8 := (:var 2 S2) +#10 := (f3 #8 #9) +#11 := (= #10 f1) +#12 := (exists (vars (?v0 S2) (?v1 S3) (?v2 S4)) #11) +#17 := (iff #12 #16) +#18 := (not #17) +#64 := (iff #18 false) +#1 := true +#59 := (not true) +#62 := (iff #59 false) +#63 := [rewrite]: #62 +#60 := (iff #18 #59) +#57 := (iff #17 true) +#42 := (= f1 #14) +#43 := (exists (vars (?v0 S2) (?v2 S4)) #42) +#52 := (iff #43 #43) +#55 := (iff #52 true) +#56 := [rewrite]: #55 +#53 := (iff #17 #52) +#50 := (iff #16 #43) +#48 := (iff #15 #42) +#49 := [rewrite]: #48 +#51 := [quant-intro #49]: #50 +#46 := (iff #12 #43) +#36 := (= f1 #10) +#39 := (exists (vars (?v0 S2) (?v1 S3) (?v2 S4)) #36) +#44 := (iff #39 #43) +#45 := [elim-unused]: #44 +#40 := (iff #12 #39) +#37 := (iff #11 #36) +#38 := [rewrite]: #37 +#41 := [quant-intro #38]: #40 +#47 := [trans #41 #45]: #46 +#54 := [monotonicity #47 #51]: #53 +#58 := [trans #54 #56]: #57 +#61 := [monotonicity #58]: #60 +#65 := [trans #61 #63]: #64 +#35 := [asserted]: #18 +[mp #35 #65]: false +unsat +7f4c24ba00666fac3b960c74d81cc061e8e4c71c 250 0 #2 := false decl f3 :: (-> S2 S1) decl f7 :: S2 @@ -6596,61 +6646,7 @@ #699 := [mp #350 #698]: #693 [unit-resolution #699 #173 #714 #398]: false unsat -8031eb3bcd3fb97da7b874e36b0d4d2ae215ec7b 49 0 -#2 := false -decl f1 :: S1 -#4 := f1 -decl f3 :: (-> S2 S4 S1) -#9 := (:var 0 S4) -#13 := (:var 1 S2) -#14 := (f3 #13 #9) -#15 := (= #14 f1) -#16 := (exists (vars (?v0 S2) (?v1 S4)) #15) -#8 := (:var 2 S2) -#10 := (f3 #8 #9) -#11 := (= #10 f1) -#12 := (exists (vars (?v0 S2) (?v1 S3) (?v2 S4)) #11) -#17 := (iff #12 #16) -#18 := (not #17) -#64 := (iff #18 false) -#1 := true -#59 := (not true) -#62 := (iff #59 false) -#63 := [rewrite]: #62 -#60 := (iff #18 #59) -#57 := (iff #17 true) -#42 := (= f1 #14) -#43 := (exists (vars (?v0 S2) (?v2 S4)) #42) -#52 := (iff #43 #43) -#55 := (iff #52 true) -#56 := [rewrite]: #55 -#53 := (iff #17 #52) -#50 := (iff #16 #43) -#48 := (iff #15 #42) -#49 := [rewrite]: #48 -#51 := [quant-intro #49]: #50 -#46 := (iff #12 #43) -#36 := (= f1 #10) -#39 := (exists (vars (?v0 S2) (?v1 S3) (?v2 S4)) #36) -#44 := (iff #39 #43) -#45 := [elim-unused]: #44 -#40 := (iff #12 #39) -#37 := (iff #11 #36) -#38 := [rewrite]: #37 -#41 := [quant-intro #38]: #40 -#47 := [trans #41 #45]: #46 -#54 := [monotonicity #47 #51]: #53 -#58 := [trans #54 #56]: #57 -#61 := [monotonicity #58]: #60 -#65 := [trans #61 #63]: #64 -#35 := [asserted]: #18 -[mp #35 #65]: false -unsat -2317912b27971033dc831a6ce5ef74d0f20fbca2 1 2 -unsat -WARNING: failed to find a pattern for quantifier (quantifier id: k!9) - -301a246cbbd414b8b75c6b801fee2f734cf2af47 122 0 +55ab12f407bdf7fa84c1317fb83d267ee6dbe0b9 122 0 #2 := false decl f3 :: (-> S2 S1) decl ?v0!1 :: S2 @@ -6773,9 +6769,21 @@ #287 := [quant-inst]: #200 [unit-resolution #287 #620 #138]: false unsat -ee898f52c96d73444993788b39566855271caaec 1 0 -unsat -2acdf9e468d060988547fd7ad4c93238ed78a5bb 105 0 +615edcc1b5967710c13cc8530677bd4b60ed143e 1 2 +unsat +WARNING: failed to find a pattern for quantifier (quantifier id: k!9) + +cd545152cc212d0c395f2d5b056f6b9ac9c802b6 1 0 +unsat +f064b99fb73e74622b958a2068a0d0b4edd902b2 1 0 +unsat +2d8e7a5bcefce0c794a69f82f7029712f925b8a0 1 0 +unsat +2c03da3c2314f743fe9232bb9b9c3ba10bf6d5ef 1 0 +unsat +e41045b4d3521f41a792e556bf2332e60d77ec7a 1 0 +unsat +1a85b2998fdcf0e23a359440a42ba41df7200751 105 0 #2 := false decl f3 :: (-> S1 S1) decl ?v0!1 :: S1 @@ -6881,9 +6889,7 @@ #261 := [quant-inst]: #188 [unit-resolution #261 #590 #259]: false unsat -f7daa562701d4999ed8a3f5ec133f08651bf6190 1 0 -unsat -ff2e1b7168f418022909b6d3ec628836562df57d 230 0 +598fbc0a61e9e499866f4757d97c531ce37db1ae 230 0 #2 := false decl f3 :: (-> S1 S1) decl ?v0!0 :: S1 @@ -7114,9 +7120,7 @@ #309 := [quant-inst]: #308 [unit-resolution #309 #590 #312]: false unsat -fdbe39cdd485517d8ec1964f2c4fb7b6646fe608 1 0 -unsat -258fe7f9c05eff8e107778930f55bcfa407e2fde 156 0 +cac0a2176ec80fb1c96e1c40b7d14da0fa6af78c 156 0 #2 := false decl f3 :: (-> S1 S2 S1) #9 := (:var 0 S2) @@ -7273,9 +7277,7 @@ #269 := [quant-inst]: #264 [unit-resolution #269 #592 #292]: false unsat -779c5fc38fd08b8484ec1da52f6a17e6b849eac4 1 0 -unsat -6c0f54222b59d5e628ff948749ac67e96364c6a1 74 0 +49ea124a0c85794588287d88e4a10f91ec534ee7 74 0 #2 := false decl f3 :: (-> S2 S3 S4) #9 := (:var 0 S3) @@ -7350,9 +7352,7 @@ #548 := [mp #55 #547]: #543 [unit-resolution #548 #537]: false unsat -b720bb30cc87882c3f660a5bf9c8737dde4c14c4 1 0 -unsat -cba176f179e597e7b48393532028be8634e0c4f7 108 0 +f922619aea5365bdf4744142fd24ae3f3d91080e 108 0 #2 := false decl f3 :: (-> S1 S1) #11 := (:var 0 S1) @@ -7461,7 +7461,7 @@ #179 := [quant-inst]: #265 [unit-resolution #179 #96 #599]: false unsat -1f79e2aaf530f1cad27b8439c2a93a00022ad034 183 2 +ccfa103f9dc86cc5a39d3a0bd17ea6e15ed83789 183 2 #2 := false decl f3 :: (-> S1 S2 S1) #9 := (:var 0 S2) @@ -7647,21 +7647,15 @@ unsat WARNING: failed to find a pattern for quantifier (quantifier id: k!12) -da85096b57c08af8febf5871c1333121a34c6d28 1 0 -unsat -6c41d71d8ec4d73ffa088d938320c03ca09b9201 1 2 +04a10002b6cfbd9320b025e8add4b15624e7ca83 1 0 +unsat +56c3c1aac521682b0935ad2f17220b3ea8838cd3 1 2 unsat WARNING: failed to find a pattern for quantifier (quantifier id: k!12) -5d15e0a34749300f4ce5f4c920d3ca259f7027cd 1 0 -unsat -fa1639cb0c965ae73d4377750883cc09dbe87562 1 0 -unsat -fc8d2e66c31565ae0b4756bf95cf9f0717981220 1 0 -unsat -ce6d32e932c7cece567323ec34f7a5540258fa7f 1 0 -unsat -cfd9d2f647046e282a1080aae51b4b88be291157 107 0 +5211d0658c8aa96a06f5b015ae31d3fe55c3cab1 1 0 +unsat +c20f820d839321d9bf17ab605375903e475f33e6 107 0 #2 := false decl f3 :: (-> S2 S1) #8 := (:var 0 S2) @@ -7769,9 +7763,9 @@ #279 := [quant-inst]: #193 [unit-resolution #279 #102 #618]: false unsat -22c7d1d1136fafc0a09e243a12ede1ee4fee416f 1 0 -unsat -9ea0d22c6270219f7cef6ee3d8f429562349b2a3 75 0 +677e024c66187dc21b71678cb1488477fcd87167 1 0 +unsat +872e0bf32f19bb056d35b742419e7bfe9bc7d3b4 75 0 #2 := false decl f1 :: S1 #4 := f1 @@ -7847,7 +7841,9 @@ #41 := [asserted]: #24 [mp #41 #91]: false unsat -51de51a0d85b126e271283f7eca5a0bb3a5a5bca 207 0 +ac8a74b907f6dc5eac6d550dfb9933eb000058e1 1 0 +unsat +90c127d5cedd68c871816f3946c02cfc6b8af4a9 207 0 #2 := false decl f3 :: (-> S2 S1) decl ?v1!0 :: (-> S2 S2) @@ -8055,101 +8051,9 @@ #622 := [mp #616 #257]: #277 [unit-resolution #622 #645 #591 #596]: false unsat -b8d80ad0d8c340491041b0c69d71b3944eaf90e6 93 0 -#2 := false -decl f5 :: (-> S2 S1) -decl f6 :: S2 -#16 := f6 -#20 := (f5 f6) -decl f1 :: S1 -#4 := f1 -#65 := (= f1 #20) -#84 := (not #65) -decl f3 :: (-> S2 S3 S1) -decl f4 :: S3 -#9 := f4 -#17 := (f3 f6 f4) -#59 := (= f1 #17) -#8 := (:var 0 S2) -#12 := (f5 #8) -#44 := (= f1 #12) -#10 := (f3 #8 f4) -#41 := (= f1 #10) -#50 := (not #41) -#51 := (or #50 #44) -#56 := (forall (vars (?v0 S2)) #51) -#62 := (and #56 #59) -#71 := (not #62) -#72 := (or #71 #65) -#77 := (not #72) -#21 := (= #20 f1) -#18 := (= #17 f1) -#13 := (= #12 f1) -#11 := (= #10 f1) -#14 := (implies #11 #13) -#15 := (forall (vars (?v0 S2)) #14) -#19 := (and #15 #18) -#22 := (implies #19 #21) -#23 := (not #22) -#78 := (iff #23 #77) -#75 := (iff #22 #72) -#68 := (implies #62 #65) -#73 := (iff #68 #72) -#74 := [rewrite]: #73 -#69 := (iff #22 #68) -#66 := (iff #21 #65) -#67 := [rewrite]: #66 -#63 := (iff #19 #62) -#60 := (iff #18 #59) -#61 := [rewrite]: #60 -#57 := (iff #15 #56) -#54 := (iff #14 #51) -#47 := (implies #41 #44) -#52 := (iff #47 #51) -#53 := [rewrite]: #52 -#48 := (iff #14 #47) -#45 := (iff #13 #44) -#46 := [rewrite]: #45 -#42 := (iff #11 #41) -#43 := [rewrite]: #42 -#49 := [monotonicity #43 #46]: #48 -#55 := [trans #49 #53]: #54 -#58 := [quant-intro #55]: #57 -#64 := [monotonicity #58 #61]: #63 -#70 := [monotonicity #64 #67]: #69 -#76 := [trans #70 #74]: #75 -#79 := [monotonicity #76]: #78 -#40 := [asserted]: #23 -#82 := [mp #40 #79]: #77 -#85 := [not-or-elim #82]: #84 -#80 := [not-or-elim #82]: #62 -#83 := [and-elim #80]: #59 -#572 := (pattern #12) -#571 := (pattern #10) -#573 := (forall (vars (?v0 S2)) (:pat #571 #572) #51) -#576 := (iff #56 #573) -#574 := (iff #51 #51) -#575 := [refl]: #574 -#577 := [quant-intro #575]: #576 -#97 := (~ #56 #56) -#95 := (~ #51 #51) -#96 := [refl]: #95 -#98 := [nnf-pos #96]: #97 -#81 := [and-elim #80]: #56 -#88 := [mp~ #81 #98]: #56 -#578 := [mp #88 #577]: #573 -#155 := (not #59) -#157 := (not #573) -#244 := (or #157 #155 #65) -#242 := (or #155 #65) -#235 := (or #157 #242) -#247 := (iff #235 #244) -#175 := [rewrite]: #247 -#246 := [quant-inst]: #235 -#248 := [mp #246 #175]: #244 -[unit-resolution #248 #578 #83 #85]: false -unsat -628763241ae198f2ea4a54c641ca6e8df6d851ca 250 0 +5a145de81e4f4eeae6397f2aeade9a713df0b402 1 0 +unsat +8bc50e9ee1d32eca0b2ec9f707ee916f7233c543 250 0 #2 := false decl f3 :: (-> S2 S1) decl ?v1!1 :: (-> S2 S2) @@ -8400,121 +8304,9 @@ #616 := [mp #628 #615]: #622 [unit-resolution #616 #128 #676 #607 #606]: false unsat -0f8bf9d230b6b97c3b9a64ed4f1bb8757963fbc7 113 0 -#2 := false -decl f3 :: (-> S2 S3 S1) -decl f4 :: S3 -#9 := f4 -decl f6 :: S2 -#16 := f6 -#19 := (f3 f6 f4) -decl f1 :: S1 -#4 := f1 -#57 := (= f1 #19) -decl f5 :: (-> S2 S1) -#17 := (f5 f6) -#54 := (= f1 #17) -#60 := (and #54 #57) -#63 := (not #60) -#8 := (:var 0 S2) -#12 := (f5 #8) -#45 := (= f1 #12) -#10 := (f3 #8 f4) -#42 := (= f1 #10) -#48 := (and #42 #45) -#51 := (exists (vars (?v0 S2)) #48) -#66 := (or #51 #63) -#69 := (not #66) -#20 := (= #19 f1) -#18 := (= #17 f1) -#21 := (and #18 #20) -#22 := (not #21) -#13 := (= #12 f1) -#11 := (= #10 f1) -#14 := (and #11 #13) -#15 := (exists (vars (?v0 S2)) #14) -#23 := (or #15 #22) -#24 := (not #23) -#70 := (iff #24 #69) -#67 := (iff #23 #66) -#64 := (iff #22 #63) -#61 := (iff #21 #60) -#58 := (iff #20 #57) -#59 := [rewrite]: #58 -#55 := (iff #18 #54) -#56 := [rewrite]: #55 -#62 := [monotonicity #56 #59]: #61 -#65 := [monotonicity #62]: #64 -#52 := (iff #15 #51) -#49 := (iff #14 #48) -#46 := (iff #13 #45) -#47 := [rewrite]: #46 -#43 := (iff #11 #42) -#44 := [rewrite]: #43 -#50 := [monotonicity #44 #47]: #49 -#53 := [quant-intro #50]: #52 -#68 := [monotonicity #53 #65]: #67 -#71 := [monotonicity #68]: #70 -#41 := [asserted]: #24 -#74 := [mp #41 #71]: #69 -#75 := [not-or-elim #74]: #60 -#77 := [and-elim #75]: #57 -#76 := [and-elim #75]: #54 -#585 := (pattern #12) -#584 := (pattern #10) -#93 := (not #45) -#92 := (not #42) -#94 := (or #92 #93) -#586 := (forall (vars (?v0 S2)) (:pat #584 #585) #94) -#101 := (forall (vars (?v0 S2)) #94) -#589 := (iff #101 #586) -#587 := (iff #94 #94) -#588 := [refl]: #587 -#590 := [quant-intro #588]: #589 -#87 := (not #48) -#90 := (forall (vars (?v0 S2)) #87) -#102 := (iff #90 #101) -#99 := (iff #87 #94) -#95 := (not #94) -#83 := (not #95) -#97 := (iff #83 #94) -#98 := [rewrite]: #97 -#84 := (iff #87 #83) -#85 := (iff #48 #95) -#86 := [rewrite]: #85 -#96 := [monotonicity #86]: #84 -#100 := [trans #96 #98]: #99 -#103 := [quant-intro #100]: #102 -#72 := (not #51) -#80 := (~ #72 #90) -#88 := (~ #87 #87) -#89 := [refl]: #88 -#78 := [nnf-neg #89]: #80 -#73 := [not-or-elim #74]: #72 -#91 := [mp~ #73 #78]: #90 -#104 := [mp #91 #103]: #101 -#591 := [mp #104 #590]: #586 -#255 := (not #57) -#168 := (not #54) -#248 := (not #586) -#259 := (or #248 #168 #255) -#169 := (or #255 #168) -#260 := (or #248 #169) -#578 := (iff #260 #259) -#256 := (or #168 #255) -#261 := (or #248 #256) -#241 := (iff #261 #259) -#576 := [rewrite]: #241 -#258 := (iff #260 #261) -#170 := (iff #169 #256) -#257 := [rewrite]: #170 -#262 := [monotonicity #257]: #258 -#235 := [trans #262 #576]: #578 -#188 := [quant-inst]: #260 -#365 := [mp #188 #235]: #259 -[unit-resolution #365 #591 #76 #77]: false -unsat -64bd43a9d49de65761e5220e25dbbe3dc269bf0e 238 0 +294a32d87135d8d12940225c21b358de5bcb1008 1 0 +unsat +f2c8c9d3021edc718ea5a2b825764e713b11fd77 238 0 #2 := false decl f3 :: (-> S2 S1) decl ?v1!1 :: (-> S2 S2) @@ -8753,7 +8545,215 @@ #338 := [mp #643 #632]: #276 [unit-resolution #338 #664 #617 #616]: false unsat -42f3c8af4c50150e11519c085a0ad69e107e1705 43 0 +f085880cbe2b6e218620939fd09c5950c149f5a2 93 0 +#2 := false +decl f5 :: (-> S2 S1) +decl f6 :: S2 +#16 := f6 +#20 := (f5 f6) +decl f1 :: S1 +#4 := f1 +#65 := (= f1 #20) +#84 := (not #65) +decl f3 :: (-> S2 S3 S1) +decl f4 :: S3 +#9 := f4 +#17 := (f3 f6 f4) +#59 := (= f1 #17) +#8 := (:var 0 S2) +#12 := (f5 #8) +#44 := (= f1 #12) +#10 := (f3 #8 f4) +#41 := (= f1 #10) +#50 := (not #41) +#51 := (or #50 #44) +#56 := (forall (vars (?v0 S2)) #51) +#62 := (and #56 #59) +#71 := (not #62) +#72 := (or #71 #65) +#77 := (not #72) +#21 := (= #20 f1) +#18 := (= #17 f1) +#13 := (= #12 f1) +#11 := (= #10 f1) +#14 := (implies #11 #13) +#15 := (forall (vars (?v0 S2)) #14) +#19 := (and #15 #18) +#22 := (implies #19 #21) +#23 := (not #22) +#78 := (iff #23 #77) +#75 := (iff #22 #72) +#68 := (implies #62 #65) +#73 := (iff #68 #72) +#74 := [rewrite]: #73 +#69 := (iff #22 #68) +#66 := (iff #21 #65) +#67 := [rewrite]: #66 +#63 := (iff #19 #62) +#60 := (iff #18 #59) +#61 := [rewrite]: #60 +#57 := (iff #15 #56) +#54 := (iff #14 #51) +#47 := (implies #41 #44) +#52 := (iff #47 #51) +#53 := [rewrite]: #52 +#48 := (iff #14 #47) +#45 := (iff #13 #44) +#46 := [rewrite]: #45 +#42 := (iff #11 #41) +#43 := [rewrite]: #42 +#49 := [monotonicity #43 #46]: #48 +#55 := [trans #49 #53]: #54 +#58 := [quant-intro #55]: #57 +#64 := [monotonicity #58 #61]: #63 +#70 := [monotonicity #64 #67]: #69 +#76 := [trans #70 #74]: #75 +#79 := [monotonicity #76]: #78 +#40 := [asserted]: #23 +#82 := [mp #40 #79]: #77 +#85 := [not-or-elim #82]: #84 +#80 := [not-or-elim #82]: #62 +#83 := [and-elim #80]: #59 +#572 := (pattern #12) +#571 := (pattern #10) +#573 := (forall (vars (?v0 S2)) (:pat #571 #572) #51) +#576 := (iff #56 #573) +#574 := (iff #51 #51) +#575 := [refl]: #574 +#577 := [quant-intro #575]: #576 +#97 := (~ #56 #56) +#95 := (~ #51 #51) +#96 := [refl]: #95 +#98 := [nnf-pos #96]: #97 +#81 := [and-elim #80]: #56 +#88 := [mp~ #81 #98]: #56 +#578 := [mp #88 #577]: #573 +#155 := (not #59) +#157 := (not #573) +#244 := (or #157 #155 #65) +#242 := (or #155 #65) +#235 := (or #157 #242) +#247 := (iff #235 #244) +#175 := [rewrite]: #247 +#246 := [quant-inst]: #235 +#248 := [mp #246 #175]: #244 +[unit-resolution #248 #578 #83 #85]: false +unsat +9ef609620af3ecd94cdef1f843003b8483978fbb 113 0 +#2 := false +decl f3 :: (-> S2 S3 S1) +decl f4 :: S3 +#9 := f4 +decl f6 :: S2 +#16 := f6 +#19 := (f3 f6 f4) +decl f1 :: S1 +#4 := f1 +#57 := (= f1 #19) +decl f5 :: (-> S2 S1) +#17 := (f5 f6) +#54 := (= f1 #17) +#60 := (and #54 #57) +#63 := (not #60) +#8 := (:var 0 S2) +#12 := (f5 #8) +#45 := (= f1 #12) +#10 := (f3 #8 f4) +#42 := (= f1 #10) +#48 := (and #42 #45) +#51 := (exists (vars (?v0 S2)) #48) +#66 := (or #51 #63) +#69 := (not #66) +#20 := (= #19 f1) +#18 := (= #17 f1) +#21 := (and #18 #20) +#22 := (not #21) +#13 := (= #12 f1) +#11 := (= #10 f1) +#14 := (and #11 #13) +#15 := (exists (vars (?v0 S2)) #14) +#23 := (or #15 #22) +#24 := (not #23) +#70 := (iff #24 #69) +#67 := (iff #23 #66) +#64 := (iff #22 #63) +#61 := (iff #21 #60) +#58 := (iff #20 #57) +#59 := [rewrite]: #58 +#55 := (iff #18 #54) +#56 := [rewrite]: #55 +#62 := [monotonicity #56 #59]: #61 +#65 := [monotonicity #62]: #64 +#52 := (iff #15 #51) +#49 := (iff #14 #48) +#46 := (iff #13 #45) +#47 := [rewrite]: #46 +#43 := (iff #11 #42) +#44 := [rewrite]: #43 +#50 := [monotonicity #44 #47]: #49 +#53 := [quant-intro #50]: #52 +#68 := [monotonicity #53 #65]: #67 +#71 := [monotonicity #68]: #70 +#41 := [asserted]: #24 +#74 := [mp #41 #71]: #69 +#75 := [not-or-elim #74]: #60 +#77 := [and-elim #75]: #57 +#76 := [and-elim #75]: #54 +#585 := (pattern #12) +#584 := (pattern #10) +#93 := (not #45) +#92 := (not #42) +#94 := (or #92 #93) +#586 := (forall (vars (?v0 S2)) (:pat #584 #585) #94) +#101 := (forall (vars (?v0 S2)) #94) +#589 := (iff #101 #586) +#587 := (iff #94 #94) +#588 := [refl]: #587 +#590 := [quant-intro #588]: #589 +#87 := (not #48) +#90 := (forall (vars (?v0 S2)) #87) +#102 := (iff #90 #101) +#99 := (iff #87 #94) +#95 := (not #94) +#83 := (not #95) +#97 := (iff #83 #94) +#98 := [rewrite]: #97 +#84 := (iff #87 #83) +#85 := (iff #48 #95) +#86 := [rewrite]: #85 +#96 := [monotonicity #86]: #84 +#100 := [trans #96 #98]: #99 +#103 := [quant-intro #100]: #102 +#72 := (not #51) +#80 := (~ #72 #90) +#88 := (~ #87 #87) +#89 := [refl]: #88 +#78 := [nnf-neg #89]: #80 +#73 := [not-or-elim #74]: #72 +#91 := [mp~ #73 #78]: #90 +#104 := [mp #91 #103]: #101 +#591 := [mp #104 #590]: #586 +#255 := (not #57) +#168 := (not #54) +#248 := (not #586) +#259 := (or #248 #168 #255) +#169 := (or #255 #168) +#260 := (or #248 #169) +#578 := (iff #260 #259) +#256 := (or #168 #255) +#261 := (or #248 #256) +#241 := (iff #261 #259) +#576 := [rewrite]: #241 +#258 := (iff #260 #261) +#170 := (iff #169 #256) +#257 := [rewrite]: #170 +#262 := [monotonicity #257]: #258 +#235 := [trans #262 #576]: #578 +#188 := [quant-inst]: #260 +#365 := [mp #188 #235]: #259 +[unit-resolution #365 #591 #76 #77]: false +unsat +b1e70439cf48151ac262711545999d4078fe3f18 43 0 #2 := false decl f1 :: S1 #4 := f1 @@ -8797,7 +8797,7 @@ #32 := [asserted]: #15 [mp #32 #58]: false unsat -e44a18e086890afdae37ccfa17aec44f2a634103 27 0 +5c6baa5560c27cbea391f380f1d2efa0c31ad451 27 0 #2 := false #1 := true #9 := (or false true) @@ -8825,7 +8825,7 @@ #28 := [asserted]: #11 [mp #28 #46]: false unsat -48f0da3339d9c9f7707291c89458bdaf3e50c114 31 0 +ca24bad9d30cd7adb4d8824254fb1d868566dba8 31 0 #2 := false decl f1 :: S1 #4 := f1 @@ -8857,7 +8857,7 @@ #29 := [asserted]: #12 [mp #29 #46]: false unsat -e7059fb5d2b001f75897ae16a2ace8ce919e02a1 33 0 +4c370ded875fbae45221845a75b0cee6f100c565 33 0 #2 := false decl f1 :: S1 #4 := f1 @@ -8891,7 +8891,7 @@ #30 := [asserted]: #13 [mp #30 #47]: false unsat -f5fef851c10f40408540848a3507970291adb3e5 35 0 +1796e5eebe3961668a10c629c8446aea6b05d0ff 35 0 #2 := false decl f1 :: S1 #4 := f1 @@ -8927,7 +8927,7 @@ #30 := [asserted]: #13 [mp #30 #50]: false unsat -9facdecb47b87e40c25944deaa804ef85fc985e3 38 0 +6cbede560f4445a6195546ba14a38ce4cef82756 38 0 #2 := false decl f3 :: (-> S2 S2) decl f4 :: S2 @@ -8966,7 +8966,7 @@ #114 := [quant-inst]: #200 [unit-resolution #114 #51 #50]: false unsat -ae9dfcc290bc6bcccab3cd3af533d10c7c03b3b8 30 0 +3951eb981ad2121ce0b01ef0fb8385398766b219 30 0 #2 := false decl f4 :: (-> S3 S4) decl f6 :: S3 @@ -8997,7 +8997,7 @@ #104 := [quant-inst]: #190 [unit-resolution #104 #41 #38]: false unsat -90ce83a254a12d0f1bfd0c5eb5a99c36ab0fe295 16 0 +cfb7ec1e9520aafa7d5b29cfb983793ee2d6f2b3 16 0 #2 := false #1 := true #8 := (implies true true) @@ -9014,7 +9014,7 @@ #26 := [asserted]: #9 [mp #26 #35]: false unsat -9a0ddca6dee00a602bc428366efd931bcfcee94b 16 0 +7cbcb79eb27355ecf4f8c83e03297c7b412bce52 16 0 #2 := false #8 := (implies false false) #9 := (not #8) @@ -9031,7 +9031,7 @@ #26 := [asserted]: #9 [mp #26 #35]: false unsat -cabaa8d0303be40a64e7064642dabce9e7bfcad7 31 0 +abfb47efa43a4820aa829461952d8e31f18076ce 31 0 #2 := false decl f1 :: S1 #4 := f1 @@ -9063,11 +9063,7 @@ #29 := [asserted]: #12 [mp #29 #46]: false unsat -46acb4cd4b5353c32c529ffe509fc6f26ac2f2a1 3 0 -#2 := false -[asserted]: false -unsat -ac00789473bf074e49a8a6419c1f2a1042912d6a 48 0 +68233e17fde29c54af280784ff125abdb937332e 48 0 #2 := false decl f1 :: S1 #4 := f1 @@ -9116,26 +9112,7 @@ #31 := [asserted]: #14 [mp #31 #63]: false unsat -040123bf68e09d0b72cf990436bb29a623c102b8 18 0 -#2 := false -#9 := 1::int -#8 := 0::int -#10 := (< 0::int 1::int) -#11 := (not #10) -#38 := (iff #11 false) -#1 := true -#33 := (not true) -#36 := (iff #33 false) -#37 := [rewrite]: #36 -#34 := (iff #11 #33) -#31 := (iff #10 true) -#32 := [rewrite]: #31 -#35 := [monotonicity #32]: #34 -#39 := [trans #35 #37]: #38 -#28 := [asserted]: #11 -[mp #28 #39]: false -unsat -75052914158f379cd343f693f354895fa579a89c 53 0 +f363d14bd402cc293d16ba4871e3b8a53de5f8dc 53 0 #2 := false decl f1 :: S1 #4 := f1 @@ -9189,26 +9166,7 @@ #31 := [asserted]: #14 [mp #31 #68]: false unsat -be1600749b493592f603ae3a7f9dcbc68d688187 18 0 -#2 := false -#9 := 1::int -#8 := 0::int -#10 := (<= 0::int 1::int) -#11 := (not #10) -#38 := (iff #11 false) -#1 := true -#33 := (not true) -#36 := (iff #33 false) -#37 := [rewrite]: #36 -#34 := (iff #11 #33) -#31 := (iff #10 true) -#32 := [rewrite]: #31 -#35 := [monotonicity #32]: #34 -#39 := [trans #35 #37]: #38 -#28 := [asserted]: #11 -[mp #28 #39]: false -unsat -4bcd26d70bcaf24bb295031b732101a3dec2c643 56 0 +9f187e77426ab643b39435558d6d1a14dc433609 56 0 #2 := false decl f1 :: S1 #4 := f1 @@ -9265,26 +9223,7 @@ #32 := [asserted]: #15 [mp #32 #71]: false unsat -d6985ded37fcab252cac3fbb09a30e977c68973d 18 0 -#2 := false -#9 := 2345678901::int -#8 := 123456789::int -#10 := (< 123456789::int 2345678901::int) -#11 := (not #10) -#38 := (iff #11 false) -#1 := true -#33 := (not true) -#36 := (iff #33 false) -#37 := [rewrite]: #36 -#34 := (iff #11 #33) -#31 := (iff #10 true) -#32 := [rewrite]: #31 -#35 := [monotonicity #32]: #34 -#39 := [trans #35 #37]: #38 -#28 := [asserted]: #11 -[mp #28 #39]: false -unsat -7eeb56537bd13a6f6bc35096a4ddfb33dceb295f 89 0 +510a0fc3c1359f943c6e00e7c3aafbf7737756e9 89 0 #2 := false decl f4 :: S1 #10 := f4 @@ -9374,7 +9313,7 @@ #86 := [not-or-elim #83]: #48 [mp #86 #107]: false unsat -38ce6b99e91d92d7feb75b7b5ff7006aee1a887f 57 0 +356f92e13256c637921f76eda9e7cbbac3ef8f53 57 0 #2 := false decl f3 :: (-> S2 S1) decl f4 :: S2 @@ -9432,38 +9371,11 @@ #59 := [not-or-elim #57]: #58 [mp #59 #74]: false unsat -12f34f8245ed278a095c475d68eb5a5711d23981 30 0 -#2 := false -decl f3 :: (-> int S2) -#25 := 1::int -#28 := (f3 1::int) -#13 := 0::int -#26 := (+ 0::int 1::int) -#27 := (f3 #26) -#29 := (= #27 #28) -#30 := (not #29) -#148 := (iff #30 false) -#1 := true -#143 := (not true) -#146 := (iff #143 false) -#147 := [rewrite]: #146 -#144 := (iff #30 #143) -#141 := (iff #29 true) -#136 := (= #28 #28) -#139 := (iff #136 true) -#140 := [rewrite]: #139 -#137 := (iff #29 #136) -#133 := (= #26 1::int) -#134 := [rewrite]: #133 -#135 := [monotonicity #134]: #29 -#138 := [monotonicity #135]: #137 -#142 := [trans #138 #140]: #141 -#145 := [monotonicity #142]: #144 -#149 := [trans #145 #147]: #148 -#132 := [asserted]: #30 -[mp #132 #149]: false -unsat -8e8baf35daf48781c204954ba8d7df5254aac6a8 50 0 +ff9d25294dc1a17176296b8b02c6fb61dd5a7105 3 0 +#2 := false +[asserted]: false +unsat +f77cd44869b8452f0b9cdbc4acee77106cfc0c39 50 0 #2 := false decl f5 :: S2 #11 := f5 @@ -9514,7 +9426,26 @@ #62 := [not-or-elim #58]: #61 [unit-resolution #62 #70]: false unsat -7bbe1bf9e8878e3709a71589e39f12e31278f1b7 27 0 +ae97c364e76e6bda750550b3359e25f9363fc00f 18 0 +#2 := false +#9 := 1::int +#8 := 0::int +#10 := (< 0::int 1::int) +#11 := (not #10) +#38 := (iff #11 false) +#1 := true +#33 := (not true) +#36 := (iff #33 false) +#37 := [rewrite]: #36 +#34 := (iff #11 #33) +#31 := (iff #10 true) +#32 := [rewrite]: #31 +#35 := [monotonicity #32]: #34 +#39 := [trans #35 #37]: #38 +#28 := [asserted]: #11 +[mp #28 #39]: false +unsat +6168df6e70405fbcc2600c1e033ec5aaad4d620c 27 0 #2 := false decl f5 :: (-> S2 S3) decl f4 :: S2 @@ -9542,41 +9473,26 @@ #43 := [not-or-elim #42]: #41 [unit-resolution #43 #51]: false unsat -fca9345b5fb82879eab30d8a35a71a4cfb012222 33 0 -#2 := false -#27 := 1::int -decl f4 :: (-> S2 int) -decl f5 :: S2 -#25 := f5 -#26 := (f4 f5) -#28 := (+ #26 1::int) -#29 := (< #26 #28) -#30 := (not #29) -#151 := (iff #30 false) -#133 := (+ 1::int #26) -#136 := (< #26 #133) -#139 := (not #136) -#149 := (iff #139 false) -#1 := true -#144 := (not true) -#147 := (iff #144 false) -#148 := [rewrite]: #147 -#145 := (iff #139 #144) -#142 := (iff #136 true) -#143 := [rewrite]: #142 -#146 := [monotonicity #143]: #145 -#150 := [trans #146 #148]: #149 -#140 := (iff #30 #139) -#137 := (iff #29 #136) -#134 := (= #28 #133) -#135 := [rewrite]: #134 -#138 := [monotonicity #135]: #137 -#141 := [monotonicity #138]: #140 -#152 := [trans #141 #150]: #151 -#132 := [asserted]: #30 -[mp #132 #152]: false -unsat -a8014c2ba4ebe428717a3516d1900ca3b7591555 73 0 +93d89a3ed53f09b21acbcbce4122ad8ab50daca2 18 0 +#2 := false +#9 := 1::int +#8 := 0::int +#10 := (<= 0::int 1::int) +#11 := (not #10) +#38 := (iff #11 false) +#1 := true +#33 := (not true) +#36 := (iff #33 false) +#37 := [rewrite]: #36 +#34 := (iff #11 #33) +#31 := (iff #10 true) +#32 := [rewrite]: #31 +#35 := [monotonicity #32]: #34 +#39 := [trans #35 #37]: #38 +#28 := [asserted]: #11 +[mp #28 #39]: false +unsat +5a8fd4dc177700b7e623e63e345f854da9c68ee0 73 0 #2 := false decl f3 :: (-> S1 S1) decl f4 :: S1 @@ -9650,7 +9566,386 @@ #146 := [quant-inst]: #232 [unit-resolution #146 #566 #74]: false unsat -f572500dcd49c30edfbceabc272b009fb11814d2 428 0 +80b6a701eb48d11531bbc36b28f9be8ab306b56a 18 0 +#2 := false +#9 := 2345678901::int +#8 := 123456789::int +#10 := (< 123456789::int 2345678901::int) +#11 := (not #10) +#38 := (iff #11 false) +#1 := true +#33 := (not true) +#36 := (iff #33 false) +#37 := [rewrite]: #36 +#34 := (iff #11 #33) +#31 := (iff #10 true) +#32 := [rewrite]: #31 +#35 := [monotonicity #32]: #34 +#39 := [trans #35 #37]: #38 +#28 := [asserted]: #11 +[mp #28 #39]: false +unsat +f13cda4935d2ad2244c0ae2a16ca60c9a8153f04 106 0 +#2 := false +decl f3 :: (-> S2 S2 S1) +decl ?v0!0 :: S2 +#72 := ?v0!0 +#83 := (f3 ?v0!0 ?v0!0) +decl f1 :: S1 +#4 := f1 +#75 := (= f1 #83) +#76 := (not #75) +#9 := (:var 0 S2) +#16 := (f3 #9 #9) +#50 := (= f1 #16) +#53 := (forall (vars (?v0 S2)) #50) +#69 := (not #53) +#84 := (~ #69 #76) +#85 := [sk]: #84 +#8 := (:var 1 S2) +#12 := (f3 #9 #8) +#41 := (= f1 #12) +#10 := (f3 #8 #9) +#38 := (= f1 #10) +#44 := (and #38 #41) +#47 := (forall (vars (?v0 S2) (?v1 S2)) #44) +#59 := (not #47) +#60 := (or #59 #53) +#65 := (not #60) +#17 := (= #16 f1) +#18 := (forall (vars (?v0 S2)) #17) +#13 := (= #12 f1) +#11 := (= #10 f1) +#14 := (and #11 #13) +#15 := (forall (vars (?v0 S2) (?v1 S2)) #14) +#19 := (implies #15 #18) +#20 := (not #19) +#66 := (iff #20 #65) +#63 := (iff #19 #60) +#56 := (implies #47 #53) +#61 := (iff #56 #60) +#62 := [rewrite]: #61 +#57 := (iff #19 #56) +#54 := (iff #18 #53) +#51 := (iff #17 #50) +#52 := [rewrite]: #51 +#55 := [quant-intro #52]: #54 +#48 := (iff #15 #47) +#45 := (iff #14 #44) +#42 := (iff #13 #41) +#43 := [rewrite]: #42 +#39 := (iff #11 #38) +#40 := [rewrite]: #39 +#46 := [monotonicity #40 #43]: #45 +#49 := [quant-intro #46]: #48 +#58 := [monotonicity #49 #55]: #57 +#64 := [trans #58 #62]: #63 +#67 := [monotonicity #64]: #66 +#37 := [asserted]: #20 +#70 := [mp #37 #67]: #65 +#71 := [not-or-elim #70]: #69 +#88 := [mp~ #71 #85]: #76 +#577 := (pattern #12) +#576 := (pattern #10) +#87 := (not #41) +#86 := (not #38) +#89 := (or #86 #87) +#90 := (not #89) +#578 := (forall (vars (?v0 S2) (?v1 S2)) (:pat #576 #577) #90) +#93 := (forall (vars (?v0 S2) (?v1 S2)) #90) +#581 := (iff #93 #578) +#579 := (iff #90 #90) +#580 := [refl]: #579 +#582 := [quant-intro #580]: #581 +#94 := (iff #47 #93) +#91 := (iff #44 #90) +#92 := [rewrite]: #91 +#95 := [quant-intro #92]: #94 +#81 := (~ #47 #47) +#79 := (~ #44 #44) +#80 := [refl]: #79 +#82 := [nnf-pos #80]: #81 +#68 := [not-or-elim #70]: #47 +#74 := [mp~ #68 #82]: #47 +#96 := [mp #74 #95]: #93 +#583 := [mp #96 #582]: #578 +#250 := (not #578) +#254 := (or #250 #75) +#160 := (or #76 #76) +#247 := (not #160) +#233 := (or #250 #247) +#570 := (iff #233 #254) +#357 := (iff #254 #254) +#564 := [rewrite]: #357 +#180 := (iff #247 #75) +#162 := (not #76) +#251 := (iff #162 #75) +#252 := [rewrite]: #251 +#249 := (iff #247 #162) +#161 := (iff #160 #76) +#248 := [rewrite]: #161 +#240 := [monotonicity #248]: #249 +#253 := [trans #240 #252]: #180 +#227 := [monotonicity #253]: #570 +#238 := [trans #227 #564]: #570 +#568 := [quant-inst]: #233 +#239 := [mp #568 #238]: #254 +[unit-resolution #239 #583 #88]: false +unsat +060c210941c0fd9eca58c8250fc66d664e976010 66 0 +#2 := false +decl f4 :: S1 +#10 := f4 +decl f1 :: S1 +#4 := f1 +#37 := (= f1 f4) +decl f3 :: S1 +#8 := f3 +#34 := (= f1 f3) +#40 := (or #34 #37) +#84 := (iff #40 false) +#79 := (or false false) +#82 := (iff #79 false) +#83 := [rewrite]: #82 +#80 := (iff #40 #79) +#75 := (iff #37 false) +#66 := (not #37) +#43 := (not #34) +#49 := (and #43 #40) +#57 := (not #49) +#58 := (or #37 #57) +#63 := (not #58) +#11 := (= f4 f1) +#9 := (= f3 f1) +#13 := (not #9) +#12 := (or #9 #11) +#14 := (and #12 #13) +#15 := (implies #14 #11) +#16 := (not #15) +#64 := (iff #16 #63) +#61 := (iff #15 #58) +#54 := (implies #49 #37) +#59 := (iff #54 #58) +#60 := [rewrite]: #59 +#55 := (iff #15 #54) +#38 := (iff #11 #37) +#39 := [rewrite]: #38 +#52 := (iff #14 #49) +#46 := (and #40 #43) +#50 := (iff #46 #49) +#51 := [rewrite]: #50 +#47 := (iff #14 #46) +#44 := (iff #13 #43) +#35 := (iff #9 #34) +#36 := [rewrite]: #35 +#45 := [monotonicity #36]: #44 +#41 := (iff #12 #40) +#42 := [monotonicity #36 #39]: #41 +#48 := [monotonicity #42 #45]: #47 +#53 := [trans #48 #51]: #52 +#56 := [monotonicity #53 #39]: #55 +#62 := [trans #56 #60]: #61 +#65 := [monotonicity #62]: #64 +#33 := [asserted]: #16 +#68 := [mp #33 #65]: #63 +#67 := [not-or-elim #68]: #66 +#76 := [iff-false #67]: #75 +#77 := (iff #34 false) +#69 := [not-or-elim #68]: #49 +#70 := [and-elim #69]: #43 +#78 := [iff-false #70]: #77 +#81 := [monotonicity #78 #76]: #80 +#85 := [trans #81 #83]: #84 +#71 := [and-elim #69]: #40 +[mp #71 #85]: false +unsat +51b1554c8079ae450aaa843f46db3a132a62d2a4 59 0 +#2 := false +decl f1 :: S1 +#4 := f1 +decl f6 :: S1 +#15 := f6 +#16 := (= f6 f1) +decl f5 :: S1 +#13 := f5 +#14 := (= f5 f1) +#17 := (and #14 #16) +decl f4 :: S1 +#10 := f4 +#11 := (= f4 f1) +decl f3 :: S1 +#8 := f3 +#9 := (= f3 f1) +#12 := (and #9 #11) +#18 := (or #12 #17) +#19 := (implies #18 #18) +#20 := (not #19) +#71 := (iff #20 false) +#1 := true +#66 := (not true) +#69 := (iff #66 false) +#70 := [rewrite]: #69 +#67 := (iff #20 #66) +#64 := (iff #19 true) +#50 := (= f1 f6) +#47 := (= f1 f5) +#53 := (and #47 #50) +#41 := (= f1 f4) +#38 := (= f1 f3) +#44 := (and #38 #41) +#56 := (or #44 #53) +#59 := (implies #56 #56) +#62 := (iff #59 true) +#63 := [rewrite]: #62 +#60 := (iff #19 #59) +#57 := (iff #18 #56) +#54 := (iff #17 #53) +#51 := (iff #16 #50) +#52 := [rewrite]: #51 +#48 := (iff #14 #47) +#49 := [rewrite]: #48 +#55 := [monotonicity #49 #52]: #54 +#45 := (iff #12 #44) +#42 := (iff #11 #41) +#43 := [rewrite]: #42 +#39 := (iff #9 #38) +#40 := [rewrite]: #39 +#46 := [monotonicity #40 #43]: #45 +#58 := [monotonicity #46 #55]: #57 +#61 := [monotonicity #58 #58]: #60 +#65 := [trans #61 #63]: #64 +#68 := [monotonicity #65]: #67 +#72 := [trans #68 #70]: #71 +#37 := [asserted]: #20 +[mp #37 #72]: false +unsat +84b3ad1ba10175f629ea45974dd1f7204028ffdc 30 0 +#2 := false +decl f3 :: (-> int S2) +#25 := 1::int +#28 := (f3 1::int) +#13 := 0::int +#26 := (+ 0::int 1::int) +#27 := (f3 #26) +#29 := (= #27 #28) +#30 := (not #29) +#148 := (iff #30 false) +#1 := true +#143 := (not true) +#146 := (iff #143 false) +#147 := [rewrite]: #146 +#144 := (iff #30 #143) +#141 := (iff #29 true) +#136 := (= #28 #28) +#139 := (iff #136 true) +#140 := [rewrite]: #139 +#137 := (iff #29 #136) +#133 := (= #26 1::int) +#134 := [rewrite]: #133 +#135 := [monotonicity #134]: #29 +#138 := [monotonicity #135]: #137 +#142 := [trans #138 #140]: #141 +#145 := [monotonicity #142]: #144 +#149 := [trans #145 #147]: #148 +#132 := [asserted]: #30 +[mp #132 #149]: false +unsat +fc798ca35949786a7df6c3211b951fe889ed5aca 33 0 +#2 := false +#27 := 1::int +decl f4 :: (-> S2 int) +decl f5 :: S2 +#25 := f5 +#26 := (f4 f5) +#28 := (+ #26 1::int) +#29 := (< #26 #28) +#30 := (not #29) +#151 := (iff #30 false) +#133 := (+ 1::int #26) +#136 := (< #26 #133) +#139 := (not #136) +#149 := (iff #139 false) +#1 := true +#144 := (not true) +#147 := (iff #144 false) +#148 := [rewrite]: #147 +#145 := (iff #139 #144) +#142 := (iff #136 true) +#143 := [rewrite]: #142 +#146 := [monotonicity #143]: #145 +#150 := [trans #146 #148]: #149 +#140 := (iff #30 #139) +#137 := (iff #29 #136) +#134 := (= #28 #133) +#135 := [rewrite]: #134 +#138 := [monotonicity #135]: #137 +#141 := [monotonicity #138]: #140 +#152 := [trans #141 #150]: #151 +#132 := [asserted]: #30 +[mp #132 #152]: false +unsat +1a658a61136d181e832caa6664fb39c44f4496ee 60 0 +#2 := false +decl f3 :: (-> int S2) +decl f4 :: (-> S2 int) +decl f5 :: S2 +#25 := f5 +#26 := (f4 f5) +#135 := (f3 #26) +#141 := (= f5 #135) +#146 := (not #141) +#13 := 0::int +#27 := (+ #26 0::int) +#28 := (f3 #27) +#29 := (= #28 f5) +#30 := (not #29) +#147 := (iff #30 #146) +#144 := (iff #29 #141) +#138 := (= #135 f5) +#142 := (iff #138 #141) +#143 := [rewrite]: #142 +#139 := (iff #29 #138) +#136 := (= #28 #135) +#133 := (= #27 #26) +#134 := [rewrite]: #133 +#137 := [monotonicity #134]: #136 +#140 := [monotonicity #137]: #139 +#145 := [trans #140 #143]: #144 +#148 := [monotonicity #145]: #147 +#132 := [asserted]: #30 +#151 := [mp #132 #148]: #146 +#8 := (:var 0 S2) +#9 := (f4 #8) +#639 := (pattern #9) +#10 := (f3 #9) +#48 := (= #8 #10) +#640 := (forall (vars (?v0 S2)) (:pat #639) #48) +#51 := (forall (vars (?v0 S2)) #48) +#641 := (iff #51 #640) +#643 := (iff #640 #640) +#644 := [rewrite]: #643 +#642 := [rewrite]: #641 +#645 := [trans #642 #644]: #641 +#163 := (~ #51 #51) +#161 := (~ #48 #48) +#162 := [refl]: #161 +#164 := [nnf-pos #162]: #163 +#11 := (= #10 #8) +#12 := (forall (vars (?v0 S2)) #11) +#52 := (iff #12 #51) +#49 := (iff #11 #48) +#50 := [rewrite]: #49 +#53 := [quant-intro #50]: #52 +#47 := [asserted]: #12 +#56 := [mp #47 #53]: #51 +#152 := [mp~ #56 #164]: #51 +#646 := [mp #152 #645]: #640 +#224 := (not #640) +#310 := (or #224 #141) +#311 := [quant-inst]: #310 +[unit-resolution #311 #646 #151]: false +unsat +ed39783643eee7923ab14b3fef066b0bb836f7e4 428 0 #2 := false decl f4 :: (-> S2 int) decl f6 :: S2 @@ -10079,241 +10374,149 @@ #393 := [unit-resolution #403 #411 #414]: #443 [unit-resolution #393 #424]: false unsat -c0906c23e4b0650863a2ef0d68bafa4e06a9dd19 106 0 -#2 := false -decl f3 :: (-> S2 S2 S1) -decl ?v0!0 :: S2 -#72 := ?v0!0 -#83 := (f3 ?v0!0 ?v0!0) -decl f1 :: S1 -#4 := f1 -#75 := (= f1 #83) -#76 := (not #75) -#9 := (:var 0 S2) -#16 := (f3 #9 #9) -#50 := (= f1 #16) -#53 := (forall (vars (?v0 S2)) #50) -#69 := (not #53) -#84 := (~ #69 #76) -#85 := [sk]: #84 -#8 := (:var 1 S2) -#12 := (f3 #9 #8) -#41 := (= f1 #12) -#10 := (f3 #8 #9) -#38 := (= f1 #10) -#44 := (and #38 #41) -#47 := (forall (vars (?v0 S2) (?v1 S2)) #44) -#59 := (not #47) -#60 := (or #59 #53) -#65 := (not #60) -#17 := (= #16 f1) -#18 := (forall (vars (?v0 S2)) #17) -#13 := (= #12 f1) -#11 := (= #10 f1) -#14 := (and #11 #13) -#15 := (forall (vars (?v0 S2) (?v1 S2)) #14) -#19 := (implies #15 #18) -#20 := (not #19) -#66 := (iff #20 #65) -#63 := (iff #19 #60) -#56 := (implies #47 #53) -#61 := (iff #56 #60) -#62 := [rewrite]: #61 -#57 := (iff #19 #56) -#54 := (iff #18 #53) -#51 := (iff #17 #50) -#52 := [rewrite]: #51 -#55 := [quant-intro #52]: #54 -#48 := (iff #15 #47) -#45 := (iff #14 #44) -#42 := (iff #13 #41) -#43 := [rewrite]: #42 -#39 := (iff #11 #38) -#40 := [rewrite]: #39 -#46 := [monotonicity #40 #43]: #45 -#49 := [quant-intro #46]: #48 -#58 := [monotonicity #49 #55]: #57 -#64 := [trans #58 #62]: #63 -#67 := [monotonicity #64]: #66 -#37 := [asserted]: #20 -#70 := [mp #37 #67]: #65 -#71 := [not-or-elim #70]: #69 -#88 := [mp~ #71 #85]: #76 -#577 := (pattern #12) -#576 := (pattern #10) -#87 := (not #41) -#86 := (not #38) -#89 := (or #86 #87) -#90 := (not #89) -#578 := (forall (vars (?v0 S2) (?v1 S2)) (:pat #576 #577) #90) -#93 := (forall (vars (?v0 S2) (?v1 S2)) #90) -#581 := (iff #93 #578) -#579 := (iff #90 #90) -#580 := [refl]: #579 -#582 := [quant-intro #580]: #581 -#94 := (iff #47 #93) -#91 := (iff #44 #90) -#92 := [rewrite]: #91 -#95 := [quant-intro #92]: #94 -#81 := (~ #47 #47) -#79 := (~ #44 #44) -#80 := [refl]: #79 -#82 := [nnf-pos #80]: #81 -#68 := [not-or-elim #70]: #47 -#74 := [mp~ #68 #82]: #47 -#96 := [mp #74 #95]: #93 -#583 := [mp #96 #582]: #578 -#250 := (not #578) -#254 := (or #250 #75) -#160 := (or #76 #76) -#247 := (not #160) -#233 := (or #250 #247) -#570 := (iff #233 #254) -#357 := (iff #254 #254) -#564 := [rewrite]: #357 -#180 := (iff #247 #75) -#162 := (not #76) -#251 := (iff #162 #75) -#252 := [rewrite]: #251 -#249 := (iff #247 #162) -#161 := (iff #160 #76) -#248 := [rewrite]: #161 -#240 := [monotonicity #248]: #249 -#253 := [trans #240 #252]: #180 -#227 := [monotonicity #253]: #570 -#238 := [trans #227 #564]: #570 -#568 := [quant-inst]: #233 -#239 := [mp #568 #238]: #254 -[unit-resolution #239 #583 #88]: false -unsat -58aaefc3b25d8181c01a2139430686aeca861bf3 66 0 -#2 := false -decl f4 :: S1 -#10 := f4 -decl f1 :: S1 -#4 := f1 -#37 := (= f1 f4) -decl f3 :: S1 -#8 := f3 -#34 := (= f1 f3) -#40 := (or #34 #37) -#84 := (iff #40 false) -#79 := (or false false) -#82 := (iff #79 false) -#83 := [rewrite]: #82 -#80 := (iff #40 #79) -#75 := (iff #37 false) -#66 := (not #37) -#43 := (not #34) -#49 := (and #43 #40) -#57 := (not #49) -#58 := (or #37 #57) -#63 := (not #58) -#11 := (= f4 f1) -#9 := (= f3 f1) -#13 := (not #9) -#12 := (or #9 #11) -#14 := (and #12 #13) -#15 := (implies #14 #11) -#16 := (not #15) -#64 := (iff #16 #63) -#61 := (iff #15 #58) -#54 := (implies #49 #37) -#59 := (iff #54 #58) -#60 := [rewrite]: #59 -#55 := (iff #15 #54) -#38 := (iff #11 #37) -#39 := [rewrite]: #38 -#52 := (iff #14 #49) -#46 := (and #40 #43) -#50 := (iff #46 #49) -#51 := [rewrite]: #50 -#47 := (iff #14 #46) -#44 := (iff #13 #43) -#35 := (iff #9 #34) -#36 := [rewrite]: #35 -#45 := [monotonicity #36]: #44 -#41 := (iff #12 #40) -#42 := [monotonicity #36 #39]: #41 -#48 := [monotonicity #42 #45]: #47 -#53 := [trans #48 #51]: #52 -#56 := [monotonicity #53 #39]: #55 -#62 := [trans #56 #60]: #61 -#65 := [monotonicity #62]: #64 -#33 := [asserted]: #16 -#68 := [mp #33 #65]: #63 -#67 := [not-or-elim #68]: #66 -#76 := [iff-false #67]: #75 -#77 := (iff #34 false) -#69 := [not-or-elim #68]: #49 -#70 := [and-elim #69]: #43 -#78 := [iff-false #70]: #77 -#81 := [monotonicity #78 #76]: #80 -#85 := [trans #81 #83]: #84 -#71 := [and-elim #69]: #40 -[mp #71 #85]: false -unsat -d80d7bb97197c962c0b81d44c7a8cfd617b6ca33 59 0 -#2 := false -decl f1 :: S1 -#4 := f1 -decl f6 :: S1 -#15 := f6 -#16 := (= f6 f1) -decl f5 :: S1 -#13 := f5 -#14 := (= f5 f1) -#17 := (and #14 #16) -decl f4 :: S1 -#10 := f4 -#11 := (= f4 f1) -decl f3 :: S1 -#8 := f3 -#9 := (= f3 f1) -#12 := (and #9 #11) -#18 := (or #12 #17) -#19 := (implies #18 #18) -#20 := (not #19) -#71 := (iff #20 false) -#1 := true -#66 := (not true) -#69 := (iff #66 false) -#70 := [rewrite]: #69 -#67 := (iff #20 #66) -#64 := (iff #19 true) -#50 := (= f1 f6) -#47 := (= f1 f5) -#53 := (and #47 #50) -#41 := (= f1 f4) -#38 := (= f1 f3) -#44 := (and #38 #41) -#56 := (or #44 #53) -#59 := (implies #56 #56) -#62 := (iff #59 true) -#63 := [rewrite]: #62 -#60 := (iff #19 #59) -#57 := (iff #18 #56) -#54 := (iff #17 #53) -#51 := (iff #16 #50) -#52 := [rewrite]: #51 -#48 := (iff #14 #47) -#49 := [rewrite]: #48 -#55 := [monotonicity #49 #52]: #54 -#45 := (iff #12 #44) -#42 := (iff #11 #41) -#43 := [rewrite]: #42 -#39 := (iff #9 #38) -#40 := [rewrite]: #39 -#46 := [monotonicity #40 #43]: #45 -#58 := [monotonicity #46 #55]: #57 -#61 := [monotonicity #58 #58]: #60 -#65 := [trans #61 #63]: #64 -#68 := [monotonicity #65]: #67 -#72 := [trans #68 #70]: #71 -#37 := [asserted]: #20 -[mp #37 #72]: false -unsat -5682ca831360f99dba925cc3023ce41a2bdd0f63 364 0 +99ce906c39baeb082cce24e7e191930744f68770 60 0 +#2 := false +decl f3 :: (-> int S2) +decl f4 :: (-> S2 int) +decl f5 :: S2 +#25 := f5 +#26 := (f4 f5) +#135 := (f3 #26) +#141 := (= f5 #135) +#146 := (not #141) +#13 := 0::int +#27 := (+ 0::int #26) +#28 := (f3 #27) +#29 := (= #28 f5) +#30 := (not #29) +#147 := (iff #30 #146) +#144 := (iff #29 #141) +#138 := (= #135 f5) +#142 := (iff #138 #141) +#143 := [rewrite]: #142 +#139 := (iff #29 #138) +#136 := (= #28 #135) +#133 := (= #27 #26) +#134 := [rewrite]: #133 +#137 := [monotonicity #134]: #136 +#140 := [monotonicity #137]: #139 +#145 := [trans #140 #143]: #144 +#148 := [monotonicity #145]: #147 +#132 := [asserted]: #30 +#151 := [mp #132 #148]: #146 +#8 := (:var 0 S2) +#9 := (f4 #8) +#639 := (pattern #9) +#10 := (f3 #9) +#48 := (= #8 #10) +#640 := (forall (vars (?v0 S2)) (:pat #639) #48) +#51 := (forall (vars (?v0 S2)) #48) +#641 := (iff #51 #640) +#643 := (iff #640 #640) +#644 := [rewrite]: #643 +#642 := [rewrite]: #641 +#645 := [trans #642 #644]: #641 +#163 := (~ #51 #51) +#161 := (~ #48 #48) +#162 := [refl]: #161 +#164 := [nnf-pos #162]: #163 +#11 := (= #10 #8) +#12 := (forall (vars (?v0 S2)) #11) +#52 := (iff #12 #51) +#49 := (iff #11 #48) +#50 := [rewrite]: #49 +#53 := [quant-intro #50]: #52 +#47 := [asserted]: #12 +#56 := [mp #47 #53]: #51 +#152 := [mp~ #56 #164]: #51 +#646 := [mp #152 #645]: #640 +#224 := (not #640) +#310 := (or #224 #141) +#311 := [quant-inst]: #310 +[unit-resolution #311 #646 #151]: false +unsat +fd4ffa575704f079b1ec52c184c82cdd44b22127 37 0 +#2 := false +decl f3 :: (-> int S2) +decl f4 :: (-> S2 int) +decl f5 :: S2 +#25 := f5 +#26 := (f4 f5) +decl f6 :: S2 +#27 := f6 +#28 := (f4 f6) +#31 := (+ #28 #26) +#32 := (f3 #31) +#29 := (+ #26 #28) +#30 := (f3 #29) +#33 := (= #30 #32) +#34 := (not #33) +#153 := (iff #34 false) +#1 := true +#148 := (not true) +#151 := (iff #148 false) +#152 := [rewrite]: #151 +#149 := (iff #34 #148) +#146 := (iff #33 true) +#141 := (= #30 #30) +#144 := (iff #141 true) +#145 := [rewrite]: #144 +#142 := (iff #33 #141) +#139 := (= #32 #30) +#137 := (= #31 #29) +#138 := [rewrite]: #137 +#140 := [monotonicity #138]: #139 +#143 := [monotonicity #140]: #142 +#147 := [trans #143 #145]: #146 +#150 := [monotonicity #147]: #149 +#154 := [trans #150 #152]: #153 +#136 := [asserted]: #34 +[mp #136 #154]: false +unsat +503b4a1dda22c52727c27668172fc65c05cdd044 42 0 +#2 := false +decl f3 :: (-> int S2) +decl f4 :: (-> S2 int) +decl f7 :: S2 +#29 := f7 +#30 := (f4 f7) +decl f6 :: S2 +#27 := f6 +#28 := (f4 f6) +decl f5 :: S2 +#25 := f5 +#26 := (f4 f5) +#34 := (+ #26 #28) +#35 := (+ #34 #30) +#36 := (f3 #35) +#31 := (+ #28 #30) +#32 := (+ #26 #31) +#33 := (f3 #32) +#37 := (= #33 #36) +#38 := (not #37) +#157 := (iff #38 false) +#1 := true +#152 := (not true) +#155 := (iff #152 false) +#156 := [rewrite]: #155 +#153 := (iff #38 #152) +#150 := (iff #37 true) +#145 := (= #33 #33) +#148 := (iff #145 true) +#149 := [rewrite]: #148 +#146 := (iff #37 #145) +#143 := (= #36 #33) +#141 := (= #35 #32) +#142 := [rewrite]: #141 +#144 := [monotonicity #142]: #143 +#147 := [monotonicity #144]: #146 +#151 := [trans #147 #149]: #150 +#154 := [monotonicity #151]: #153 +#158 := [trans #154 #156]: #157 +#140 := [asserted]: #38 +[mp #140 #158]: false +unsat +7c830a2352021a9371ebd4587ef2e48d76d26c2e 364 0 #2 := false #13 := 0::int decl f4 :: (-> S2 int) @@ -10678,451 +10881,7 @@ #500 := [unit-resolution #469 #535]: #379 [th-lemma #500 #534 #195]: false unsat -b265c055659e0ea1b48e0304606789db36e05540 60 0 -#2 := false -decl f3 :: (-> int S2) -decl f4 :: (-> S2 int) -decl f5 :: S2 -#25 := f5 -#26 := (f4 f5) -#135 := (f3 #26) -#141 := (= f5 #135) -#146 := (not #141) -#13 := 0::int -#27 := (+ #26 0::int) -#28 := (f3 #27) -#29 := (= #28 f5) -#30 := (not #29) -#147 := (iff #30 #146) -#144 := (iff #29 #141) -#138 := (= #135 f5) -#142 := (iff #138 #141) -#143 := [rewrite]: #142 -#139 := (iff #29 #138) -#136 := (= #28 #135) -#133 := (= #27 #26) -#134 := [rewrite]: #133 -#137 := [monotonicity #134]: #136 -#140 := [monotonicity #137]: #139 -#145 := [trans #140 #143]: #144 -#148 := [monotonicity #145]: #147 -#132 := [asserted]: #30 -#151 := [mp #132 #148]: #146 -#8 := (:var 0 S2) -#9 := (f4 #8) -#639 := (pattern #9) -#10 := (f3 #9) -#48 := (= #8 #10) -#640 := (forall (vars (?v0 S2)) (:pat #639) #48) -#51 := (forall (vars (?v0 S2)) #48) -#641 := (iff #51 #640) -#643 := (iff #640 #640) -#644 := [rewrite]: #643 -#642 := [rewrite]: #641 -#645 := [trans #642 #644]: #641 -#163 := (~ #51 #51) -#161 := (~ #48 #48) -#162 := [refl]: #161 -#164 := [nnf-pos #162]: #163 -#11 := (= #10 #8) -#12 := (forall (vars (?v0 S2)) #11) -#52 := (iff #12 #51) -#49 := (iff #11 #48) -#50 := [rewrite]: #49 -#53 := [quant-intro #50]: #52 -#47 := [asserted]: #12 -#56 := [mp #47 #53]: #51 -#152 := [mp~ #56 #164]: #51 -#646 := [mp #152 #645]: #640 -#224 := (not #640) -#310 := (or #224 #141) -#311 := [quant-inst]: #310 -[unit-resolution #311 #646 #151]: false -unsat -75c3bae150e305a0fc97df1a1e35cb97fdd88bd7 60 0 -#2 := false -decl f3 :: (-> int S2) -decl f4 :: (-> S2 int) -decl f5 :: S2 -#25 := f5 -#26 := (f4 f5) -#135 := (f3 #26) -#141 := (= f5 #135) -#146 := (not #141) -#13 := 0::int -#27 := (+ 0::int #26) -#28 := (f3 #27) -#29 := (= #28 f5) -#30 := (not #29) -#147 := (iff #30 #146) -#144 := (iff #29 #141) -#138 := (= #135 f5) -#142 := (iff #138 #141) -#143 := [rewrite]: #142 -#139 := (iff #29 #138) -#136 := (= #28 #135) -#133 := (= #27 #26) -#134 := [rewrite]: #133 -#137 := [monotonicity #134]: #136 -#140 := [monotonicity #137]: #139 -#145 := [trans #140 #143]: #144 -#148 := [monotonicity #145]: #147 -#132 := [asserted]: #30 -#151 := [mp #132 #148]: #146 -#8 := (:var 0 S2) -#9 := (f4 #8) -#639 := (pattern #9) -#10 := (f3 #9) -#48 := (= #8 #10) -#640 := (forall (vars (?v0 S2)) (:pat #639) #48) -#51 := (forall (vars (?v0 S2)) #48) -#641 := (iff #51 #640) -#643 := (iff #640 #640) -#644 := [rewrite]: #643 -#642 := [rewrite]: #641 -#645 := [trans #642 #644]: #641 -#163 := (~ #51 #51) -#161 := (~ #48 #48) -#162 := [refl]: #161 -#164 := [nnf-pos #162]: #163 -#11 := (= #10 #8) -#12 := (forall (vars (?v0 S2)) #11) -#52 := (iff #12 #51) -#49 := (iff #11 #48) -#50 := [rewrite]: #49 -#53 := [quant-intro #50]: #52 -#47 := [asserted]: #12 -#56 := [mp #47 #53]: #51 -#152 := [mp~ #56 #164]: #51 -#646 := [mp #152 #645]: #640 -#224 := (not #640) -#310 := (or #224 #141) -#311 := [quant-inst]: #310 -[unit-resolution #311 #646 #151]: false -unsat -c52f3166d15e1102a7ca505cd72ba484966ee318 37 0 -#2 := false -decl f3 :: (-> int S2) -decl f4 :: (-> S2 int) -decl f5 :: S2 -#25 := f5 -#26 := (f4 f5) -decl f6 :: S2 -#27 := f6 -#28 := (f4 f6) -#31 := (+ #28 #26) -#32 := (f3 #31) -#29 := (+ #26 #28) -#30 := (f3 #29) -#33 := (= #30 #32) -#34 := (not #33) -#153 := (iff #34 false) -#1 := true -#148 := (not true) -#151 := (iff #148 false) -#152 := [rewrite]: #151 -#149 := (iff #34 #148) -#146 := (iff #33 true) -#141 := (= #30 #30) -#144 := (iff #141 true) -#145 := [rewrite]: #144 -#142 := (iff #33 #141) -#139 := (= #32 #30) -#137 := (= #31 #29) -#138 := [rewrite]: #137 -#140 := [monotonicity #138]: #139 -#143 := [monotonicity #140]: #142 -#147 := [trans #143 #145]: #146 -#150 := [monotonicity #147]: #149 -#154 := [trans #150 #152]: #153 -#136 := [asserted]: #34 -[mp #136 #154]: false -unsat -b04995911f57617d06c9591edf349edadf325b74 60 0 -#2 := false -decl f3 :: (-> int S2) -decl f4 :: (-> S2 int) -decl f5 :: S2 -#25 := f5 -#26 := (f4 f5) -#135 := (f3 #26) -#141 := (= f5 #135) -#146 := (not #141) -#13 := 0::int -#27 := (- #26 0::int) -#28 := (f3 #27) -#29 := (= #28 f5) -#30 := (not #29) -#147 := (iff #30 #146) -#144 := (iff #29 #141) -#138 := (= #135 f5) -#142 := (iff #138 #141) -#143 := [rewrite]: #142 -#139 := (iff #29 #138) -#136 := (= #28 #135) -#133 := (= #27 #26) -#134 := [rewrite]: #133 -#137 := [monotonicity #134]: #136 -#140 := [monotonicity #137]: #139 -#145 := [trans #140 #143]: #144 -#148 := [monotonicity #145]: #147 -#132 := [asserted]: #30 -#151 := [mp #132 #148]: #146 -#8 := (:var 0 S2) -#9 := (f4 #8) -#639 := (pattern #9) -#10 := (f3 #9) -#48 := (= #8 #10) -#640 := (forall (vars (?v0 S2)) (:pat #639) #48) -#51 := (forall (vars (?v0 S2)) #48) -#641 := (iff #51 #640) -#643 := (iff #640 #640) -#644 := [rewrite]: #643 -#642 := [rewrite]: #641 -#645 := [trans #642 #644]: #641 -#163 := (~ #51 #51) -#161 := (~ #48 #48) -#162 := [refl]: #161 -#164 := [nnf-pos #162]: #163 -#11 := (= #10 #8) -#12 := (forall (vars (?v0 S2)) #11) -#52 := (iff #12 #51) -#49 := (iff #11 #48) -#50 := [rewrite]: #49 -#53 := [quant-intro #50]: #52 -#47 := [asserted]: #12 -#56 := [mp #47 #53]: #51 -#152 := [mp~ #56 #164]: #51 -#646 := [mp #152 #645]: #640 -#224 := (not #640) -#310 := (or #224 #141) -#311 := [quant-inst]: #310 -[unit-resolution #311 #646 #151]: false -unsat -b5b340366dfb8289e173cd594b95953e97e705ac 42 0 -#2 := false -decl f3 :: (-> int S2) -decl f4 :: (-> S2 int) -decl f7 :: S2 -#29 := f7 -#30 := (f4 f7) -decl f6 :: S2 -#27 := f6 -#28 := (f4 f6) -decl f5 :: S2 -#25 := f5 -#26 := (f4 f5) -#34 := (+ #26 #28) -#35 := (+ #34 #30) -#36 := (f3 #35) -#31 := (+ #28 #30) -#32 := (+ #26 #31) -#33 := (f3 #32) -#37 := (= #33 #36) -#38 := (not #37) -#157 := (iff #38 false) -#1 := true -#152 := (not true) -#155 := (iff #152 false) -#156 := [rewrite]: #155 -#153 := (iff #38 #152) -#150 := (iff #37 true) -#145 := (= #33 #33) -#148 := (iff #145 true) -#149 := [rewrite]: #148 -#146 := (iff #37 #145) -#143 := (= #36 #33) -#141 := (= #35 #32) -#142 := [rewrite]: #141 -#144 := [monotonicity #142]: #143 -#147 := [monotonicity #144]: #146 -#151 := [trans #147 #149]: #150 -#154 := [monotonicity #151]: #153 -#158 := [trans #154 #156]: #157 -#140 := [asserted]: #38 -[mp #140 #158]: false -unsat -2a686ca258d75e408aba2310eab7bfde718856c5 179 0 -#2 := false -decl f3 :: (-> int S2) -decl f4 :: (-> S2 int) -decl f6 :: S2 -#27 := f6 -#28 := (f4 f6) -#138 := -1::int -#139 := (* -1::int #28) -decl f5 :: S2 -#25 := f5 -#26 := (f4 f5) -#140 := (+ #26 #139) -#143 := (f3 #140) -#13 := 0::int -#32 := (f3 0::int) -#149 := (= #32 #143) -#649 := (f4 #143) -#597 := (f3 #649) -#596 := (= #597 #143) -#499 := (= #143 #597) -#8 := (:var 0 S2) -#9 := (f4 #8) -#665 := (pattern #9) -#10 := (f3 #9) -#53 := (= #8 #10) -#666 := (forall (vars (?v0 S2)) (:pat #665) #53) -#56 := (forall (vars (?v0 S2)) #53) -#667 := (iff #56 #666) -#669 := (iff #666 #666) -#670 := [rewrite]: #669 -#668 := [rewrite]: #667 -#671 := [trans #668 #670]: #667 -#192 := (~ #56 #56) -#190 := (~ #53 #53) -#191 := [refl]: #190 -#193 := [nnf-pos #191]: #192 -#11 := (= #10 #8) -#12 := (forall (vars (?v0 S2)) #11) -#57 := (iff #12 #56) -#54 := (iff #11 #53) -#55 := [rewrite]: #54 -#58 := [quant-intro #55]: #57 -#52 := [asserted]: #12 -#61 := [mp #52 #58]: #56 -#179 := [mp~ #61 #193]: #56 -#672 := [mp #179 #671]: #666 -#338 := (not #666) -#502 := (or #338 #499) -#503 := [quant-inst]: #502 -#501 := [unit-resolution #503 #672]: #499 -#600 := [symm #501]: #596 -#506 := (= #32 #597) -#504 := (= 0::int #649) -#622 := (= #649 0::int) -#161 := (>= #140 0::int) -#160 := (not #161) -#154 := (not #149) -#167 := (and #154 #160) -#30 := (- #26 #28) -#31 := (f3 #30) -#33 := (= #31 #32) -#34 := (not #33) -#29 := (< #26 #28) -#35 := (and #29 #34) -#172 := (iff #35 #167) -#157 := (and #29 #154) -#170 := (iff #157 #167) -#164 := (and #160 #154) -#168 := (iff #164 #167) -#169 := [rewrite]: #168 -#165 := (iff #157 #164) -#162 := (iff #29 #160) -#163 := [rewrite]: #162 -#166 := [monotonicity #163]: #165 -#171 := [trans #166 #169]: #170 -#158 := (iff #35 #157) -#155 := (iff #34 #154) -#152 := (iff #33 #149) -#146 := (= #143 #32) -#150 := (iff #146 #149) -#151 := [rewrite]: #150 -#147 := (iff #33 #146) -#144 := (= #31 #143) -#141 := (= #30 #140) -#142 := [rewrite]: #141 -#145 := [monotonicity #142]: #144 -#148 := [monotonicity #145]: #147 -#153 := [trans #148 #151]: #152 -#156 := [monotonicity #153]: #155 -#159 := [monotonicity #156]: #158 -#173 := [trans #159 #171]: #172 -#137 := [asserted]: #35 -#174 := [mp #137 #173]: #167 -#176 := [and-elim #174]: #160 -#14 := (:var 0 int) -#16 := (f3 #14) -#673 := (pattern #16) -#78 := (>= #14 0::int) -#17 := (f4 #16) -#22 := (= #17 0::int) -#126 := (or #22 #78) -#680 := (forall (vars (?v0 int)) (:pat #673) #126) -#131 := (forall (vars (?v0 int)) #126) -#683 := (iff #131 #680) -#681 := (iff #126 #126) -#682 := [refl]: #681 -#684 := [quant-intro #682]: #683 -#182 := (~ #131 #131) -#196 := (~ #126 #126) -#197 := [refl]: #196 -#183 := [nnf-pos #197]: #182 -#21 := (< #14 0::int) -#23 := (implies #21 #22) -#24 := (forall (vars (?v0 int)) #23) -#134 := (iff #24 #131) -#97 := (= 0::int #17) -#103 := (not #21) -#104 := (or #103 #97) -#109 := (forall (vars (?v0 int)) #104) -#132 := (iff #109 #131) -#129 := (iff #104 #126) -#123 := (or #78 #22) -#127 := (iff #123 #126) -#128 := [rewrite]: #127 -#124 := (iff #104 #123) -#121 := (iff #97 #22) -#122 := [rewrite]: #121 -#119 := (iff #103 #78) -#79 := (not #78) -#114 := (not #79) -#117 := (iff #114 #78) -#118 := [rewrite]: #117 -#115 := (iff #103 #114) -#112 := (iff #21 #79) -#113 := [rewrite]: #112 -#116 := [monotonicity #113]: #115 -#120 := [trans #116 #118]: #119 -#125 := [monotonicity #120 #122]: #124 -#130 := [trans #125 #128]: #129 -#133 := [quant-intro #130]: #132 -#110 := (iff #24 #109) -#107 := (iff #23 #104) -#100 := (implies #21 #97) -#105 := (iff #100 #104) -#106 := [rewrite]: #105 -#101 := (iff #23 #100) -#98 := (iff #22 #97) -#99 := [rewrite]: #98 -#102 := [monotonicity #99]: #101 -#108 := [trans #102 #106]: #107 -#111 := [quant-intro #108]: #110 -#135 := [trans #111 #133]: #134 -#96 := [asserted]: #24 -#136 := [mp #96 #135]: #131 -#198 := [mp~ #136 #183]: #131 -#685 := [mp #198 #684]: #680 -#619 := (not #680) -#625 := (or #619 #161 #622) -#617 := (or #622 #161) -#466 := (or #619 #617) -#607 := (iff #466 #625) -#618 := (or #161 #622) -#468 := (or #619 #618) -#612 := (iff #468 #625) -#613 := [rewrite]: #612 -#610 := (iff #466 #468) -#623 := (iff #617 #618) -#624 := [rewrite]: #623 -#611 := [monotonicity #624]: #610 -#608 := [trans #611 #613]: #607 -#467 := [quant-inst]: #466 -#614 := [mp #467 #608]: #625 -#494 := [unit-resolution #614 #685 #176]: #622 -#505 := [symm #494]: #504 -#599 := [monotonicity #505]: #506 -#587 := [trans #599 #600]: #149 -#175 := [and-elim #174]: #154 -[unit-resolution #175 #587]: false -unsat -3c1f7d30ea379c9ce2207a011fc3d11958eb42f1 438 0 +1632348bdee81a166d57559522a36ec81b67e22e 438 0 #2 := false #13 := 0::int decl f4 :: (-> S2 int) @@ -11561,7 +11320,248 @@ #404 := [unit-resolution #379 #434]: #485 [unit-resolution #404 #396]: false unsat -d2811f187a26b77cca78876fe4e7b2248df3c75e 321 0 +5608753e6b659a303b2db701801c7222764e7e28 60 0 +#2 := false +decl f3 :: (-> int S2) +decl f4 :: (-> S2 int) +decl f5 :: S2 +#25 := f5 +#26 := (f4 f5) +#135 := (f3 #26) +#141 := (= f5 #135) +#146 := (not #141) +#13 := 0::int +#27 := (- #26 0::int) +#28 := (f3 #27) +#29 := (= #28 f5) +#30 := (not #29) +#147 := (iff #30 #146) +#144 := (iff #29 #141) +#138 := (= #135 f5) +#142 := (iff #138 #141) +#143 := [rewrite]: #142 +#139 := (iff #29 #138) +#136 := (= #28 #135) +#133 := (= #27 #26) +#134 := [rewrite]: #133 +#137 := [monotonicity #134]: #136 +#140 := [monotonicity #137]: #139 +#145 := [trans #140 #143]: #144 +#148 := [monotonicity #145]: #147 +#132 := [asserted]: #30 +#151 := [mp #132 #148]: #146 +#8 := (:var 0 S2) +#9 := (f4 #8) +#639 := (pattern #9) +#10 := (f3 #9) +#48 := (= #8 #10) +#640 := (forall (vars (?v0 S2)) (:pat #639) #48) +#51 := (forall (vars (?v0 S2)) #48) +#641 := (iff #51 #640) +#643 := (iff #640 #640) +#644 := [rewrite]: #643 +#642 := [rewrite]: #641 +#645 := [trans #642 #644]: #641 +#163 := (~ #51 #51) +#161 := (~ #48 #48) +#162 := [refl]: #161 +#164 := [nnf-pos #162]: #163 +#11 := (= #10 #8) +#12 := (forall (vars (?v0 S2)) #11) +#52 := (iff #12 #51) +#49 := (iff #11 #48) +#50 := [rewrite]: #49 +#53 := [quant-intro #50]: #52 +#47 := [asserted]: #12 +#56 := [mp #47 #53]: #51 +#152 := [mp~ #56 #164]: #51 +#646 := [mp #152 #645]: #640 +#224 := (not #640) +#310 := (or #224 #141) +#311 := [quant-inst]: #310 +[unit-resolution #311 #646 #151]: false +unsat +c6004ce59328c5780acd8bd7e43d352cf78599e0 179 0 +#2 := false +decl f3 :: (-> int S2) +decl f4 :: (-> S2 int) +decl f6 :: S2 +#27 := f6 +#28 := (f4 f6) +#138 := -1::int +#139 := (* -1::int #28) +decl f5 :: S2 +#25 := f5 +#26 := (f4 f5) +#140 := (+ #26 #139) +#143 := (f3 #140) +#13 := 0::int +#32 := (f3 0::int) +#149 := (= #32 #143) +#649 := (f4 #143) +#597 := (f3 #649) +#596 := (= #597 #143) +#499 := (= #143 #597) +#8 := (:var 0 S2) +#9 := (f4 #8) +#665 := (pattern #9) +#10 := (f3 #9) +#53 := (= #8 #10) +#666 := (forall (vars (?v0 S2)) (:pat #665) #53) +#56 := (forall (vars (?v0 S2)) #53) +#667 := (iff #56 #666) +#669 := (iff #666 #666) +#670 := [rewrite]: #669 +#668 := [rewrite]: #667 +#671 := [trans #668 #670]: #667 +#192 := (~ #56 #56) +#190 := (~ #53 #53) +#191 := [refl]: #190 +#193 := [nnf-pos #191]: #192 +#11 := (= #10 #8) +#12 := (forall (vars (?v0 S2)) #11) +#57 := (iff #12 #56) +#54 := (iff #11 #53) +#55 := [rewrite]: #54 +#58 := [quant-intro #55]: #57 +#52 := [asserted]: #12 +#61 := [mp #52 #58]: #56 +#179 := [mp~ #61 #193]: #56 +#672 := [mp #179 #671]: #666 +#338 := (not #666) +#502 := (or #338 #499) +#503 := [quant-inst]: #502 +#501 := [unit-resolution #503 #672]: #499 +#600 := [symm #501]: #596 +#506 := (= #32 #597) +#504 := (= 0::int #649) +#622 := (= #649 0::int) +#161 := (>= #140 0::int) +#160 := (not #161) +#154 := (not #149) +#167 := (and #154 #160) +#30 := (- #26 #28) +#31 := (f3 #30) +#33 := (= #31 #32) +#34 := (not #33) +#29 := (< #26 #28) +#35 := (and #29 #34) +#172 := (iff #35 #167) +#157 := (and #29 #154) +#170 := (iff #157 #167) +#164 := (and #160 #154) +#168 := (iff #164 #167) +#169 := [rewrite]: #168 +#165 := (iff #157 #164) +#162 := (iff #29 #160) +#163 := [rewrite]: #162 +#166 := [monotonicity #163]: #165 +#171 := [trans #166 #169]: #170 +#158 := (iff #35 #157) +#155 := (iff #34 #154) +#152 := (iff #33 #149) +#146 := (= #143 #32) +#150 := (iff #146 #149) +#151 := [rewrite]: #150 +#147 := (iff #33 #146) +#144 := (= #31 #143) +#141 := (= #30 #140) +#142 := [rewrite]: #141 +#145 := [monotonicity #142]: #144 +#148 := [monotonicity #145]: #147 +#153 := [trans #148 #151]: #152 +#156 := [monotonicity #153]: #155 +#159 := [monotonicity #156]: #158 +#173 := [trans #159 #171]: #172 +#137 := [asserted]: #35 +#174 := [mp #137 #173]: #167 +#176 := [and-elim #174]: #160 +#14 := (:var 0 int) +#16 := (f3 #14) +#673 := (pattern #16) +#78 := (>= #14 0::int) +#17 := (f4 #16) +#22 := (= #17 0::int) +#126 := (or #22 #78) +#680 := (forall (vars (?v0 int)) (:pat #673) #126) +#131 := (forall (vars (?v0 int)) #126) +#683 := (iff #131 #680) +#681 := (iff #126 #126) +#682 := [refl]: #681 +#684 := [quant-intro #682]: #683 +#182 := (~ #131 #131) +#196 := (~ #126 #126) +#197 := [refl]: #196 +#183 := [nnf-pos #197]: #182 +#21 := (< #14 0::int) +#23 := (implies #21 #22) +#24 := (forall (vars (?v0 int)) #23) +#134 := (iff #24 #131) +#97 := (= 0::int #17) +#103 := (not #21) +#104 := (or #103 #97) +#109 := (forall (vars (?v0 int)) #104) +#132 := (iff #109 #131) +#129 := (iff #104 #126) +#123 := (or #78 #22) +#127 := (iff #123 #126) +#128 := [rewrite]: #127 +#124 := (iff #104 #123) +#121 := (iff #97 #22) +#122 := [rewrite]: #121 +#119 := (iff #103 #78) +#79 := (not #78) +#114 := (not #79) +#117 := (iff #114 #78) +#118 := [rewrite]: #117 +#115 := (iff #103 #114) +#112 := (iff #21 #79) +#113 := [rewrite]: #112 +#116 := [monotonicity #113]: #115 +#120 := [trans #116 #118]: #119 +#125 := [monotonicity #120 #122]: #124 +#130 := [trans #125 #128]: #129 +#133 := [quant-intro #130]: #132 +#110 := (iff #24 #109) +#107 := (iff #23 #104) +#100 := (implies #21 #97) +#105 := (iff #100 #104) +#106 := [rewrite]: #105 +#101 := (iff #23 #100) +#98 := (iff #22 #97) +#99 := [rewrite]: #98 +#102 := [monotonicity #99]: #101 +#108 := [trans #102 #106]: #107 +#111 := [quant-intro #108]: #110 +#135 := [trans #111 #133]: #134 +#96 := [asserted]: #24 +#136 := [mp #96 #135]: #131 +#198 := [mp~ #136 #183]: #131 +#685 := [mp #198 #684]: #680 +#619 := (not #680) +#625 := (or #619 #161 #622) +#617 := (or #622 #161) +#466 := (or #619 #617) +#607 := (iff #466 #625) +#618 := (or #161 #622) +#468 := (or #619 #618) +#612 := (iff #468 #625) +#613 := [rewrite]: #612 +#610 := (iff #466 #468) +#623 := (iff #617 #618) +#624 := [rewrite]: #623 +#611 := [monotonicity #624]: #610 +#608 := [trans #611 #613]: #607 +#467 := [quant-inst]: #466 +#614 := [mp #467 #608]: #625 +#494 := [unit-resolution #614 #685 #176]: #622 +#505 := [symm #494]: #504 +#599 := [monotonicity #505]: #506 +#587 := [trans #599 #600]: #149 +#175 := [and-elim #174]: #154 +[unit-resolution #175 #587]: false +unsat +fcfdc4289ad5f9140cb116c6f4c4919f2b4f4923 321 0 #2 := false decl f3 :: (-> int S2) decl f4 :: (-> S2 int) @@ -11883,7 +11883,7 @@ #181 := [and-elim #183]: #157 [unit-resolution #181 #478]: false unsat -6750007dac6f87e186d233d8af85a2f566a05649 329 0 +68d29112e746194ea996aa3a623d8373cc08ac2a 329 0 #2 := false decl f6 :: S2 #27 := f6 @@ -12213,7 +12213,7 @@ #500 := [trans #499 #542]: #188 [unit-resolution #198 #500]: false unsat -73fe8e8f8efc05a9592e80e471f1f73a8ea6b41e 33 0 +af3fc323e3a9c9867187efb63d27fdabc458b972 33 0 #2 := false decl f3 :: (-> int S2) #13 := 0::int @@ -12247,7 +12247,7 @@ #133 := [asserted]: #31 [mp #133 #150]: false unsat -38a43c830e9f2f628495aa4330122f2c2da981cd 517 0 +afc7043a4955320d1d41ce87a7eed9f5e9408f88 517 0 #2 := false #13 := 0::int decl f4 :: (-> S2 int) @@ -12765,7 +12765,7 @@ #282 := [unit-resolution #419 #286]: #319 [unit-resolution #424 #282 #300]: false unsat -b8b27e6325657430dd1af6ebdf5787c6efe3284f 33 0 +e2cc58543dd5ad16fc6af5d366bfe8cd7b5b7c23 33 0 #2 := false decl f3 :: (-> int S2) #13 := 0::int @@ -12799,7 +12799,7 @@ #133 := [asserted]: #31 [mp #133 #150]: false unsat -21ee0df98aa191c83f2b436328c15786df798f7a 60 0 +bdaf29198446643e2cae690c3f0cac29f38941fc 60 0 #2 := false decl f3 :: (-> int S2) decl f4 :: (-> S2 int) @@ -12860,7 +12860,7 @@ #311 := [quant-inst]: #310 [unit-resolution #311 #646 #152]: false unsat -f2bd5534623dcef31ae5e3e9a7322f435fd34452 60 0 +2bc16a4276212362a5a76abffcf9b2b6da841754 60 0 #2 := false decl f3 :: (-> int S2) decl f4 :: (-> S2 int) @@ -12921,7 +12921,7 @@ #311 := [quant-inst]: #310 [unit-resolution #311 #646 #152]: false unsat -563a522b2ffcab4b8b92a3674b4a7e71c6c68e79 35 0 +2b450a9ee4af266a70157af65786bf2e05023359 35 0 #2 := false decl f3 :: (-> int S2) #25 := 3::int @@ -12957,7 +12957,7 @@ #135 := [asserted]: #33 [mp #135 #153]: false unsat -2f498bc61394e79ef8b8e82a20d5e6a57d031207 250 0 +f58726aba38b36bcc4264b070f4c61db1533ea41 250 0 #2 := false decl f5 :: (-> int S2) #11 := 0::int @@ -13208,273 +13208,7 @@ #269 := [asserted]: #57 [unit-resolution #269 #746]: false unsat -344dd4c43f015bcb0632176ba256e3bea4a444a5 265 0 -#2 := false -decl f5 :: (-> int S2) -#11 := 0::int -#57 := (f5 0::int) -decl f3 :: (-> int int int) -decl f6 :: (-> S2 int) -decl f7 :: S2 -#53 := f7 -#54 := (f6 f7) -#55 := (f3 #54 0::int) -#56 := (f5 #55) -#58 := (= #56 #57) -#840 := (= #55 0::int) -#9 := (:var 0 int) -#8 := (:var 1 int) -#10 := (f3 #8 #9) -#845 := (pattern #10) -#83 := -1::int -#87 := (* -1::int #9) -#84 := (* -1::int #8) -#90 := (div #84 #87) -#347 := (* -1::int #90) -#348 := (+ #10 #347) -#349 := (= #348 0::int) -#21 := (div #8 #9) -#344 := (* -1::int #21) -#345 := (+ #10 #344) -#346 := (= #345 0::int) -#109 := (<= #9 0::int) -#105 := (<= #8 0::int) -#302 := (or #105 #109) -#303 := (not #302) -#116 := (>= #8 0::int) -#285 := (or #109 #116) -#286 := (not #285) -#309 := (or #286 #303) -#350 := (ite #309 #346 #349) -#343 := (= #10 0::int) -#13 := (= #9 0::int) -#12 := (= #8 0::int) -#14 := (or #12 #13) -#351 := (ite #14 #343 #350) -#846 := (forall (vars (?v0 int) (?v1 int)) (:pat #845) #351) -#354 := (forall (vars (?v0 int) (?v1 int)) #351) -#849 := (iff #354 #846) -#847 := (iff #351 #351) -#848 := [refl]: #847 -#850 := [quant-intro #848]: #849 -#314 := (ite #309 #21 #90) -#317 := (ite #14 0::int #314) -#320 := (= #10 #317) -#323 := (forall (vars (?v0 int) (?v1 int)) #320) -#355 := (iff #323 #354) -#352 := (iff #320 #351) -#353 := [rewrite]: #352 -#356 := [quant-intro #353]: #355 -#117 := (not #116) -#110 := (not #109) -#120 := (and #110 #117) -#106 := (not #105) -#113 := (and #106 #110) -#123 := (or #113 #120) -#126 := (ite #123 #21 #90) -#129 := (ite #14 0::int #126) -#132 := (= #10 #129) -#135 := (forall (vars (?v0 int) (?v1 int)) #132) -#324 := (iff #135 #323) -#321 := (iff #132 #320) -#318 := (= #129 #317) -#315 := (= #126 #314) -#312 := (iff #123 #309) -#306 := (or #303 #286) -#310 := (iff #306 #309) -#311 := [rewrite]: #310 -#307 := (iff #123 #306) -#304 := (iff #120 #286) -#305 := [rewrite]: #304 -#283 := (iff #113 #303) -#284 := [rewrite]: #283 -#308 := [monotonicity #284 #305]: #307 -#313 := [trans #308 #311]: #312 -#316 := [monotonicity #313]: #315 -#319 := [monotonicity #316]: #318 -#322 := [monotonicity #319]: #321 -#325 := [quant-intro #322]: #324 -#289 := (~ #135 #135) -#287 := (~ #132 #132) -#288 := [refl]: #287 -#290 := [nnf-pos #288]: #289 -#23 := (- #9) -#22 := (- #8) -#24 := (div #22 #23) -#16 := (< 0::int #9) -#18 := (< #8 0::int) -#19 := (and #18 #16) -#15 := (< 0::int #8) -#17 := (and #15 #16) -#20 := (or #17 #19) -#25 := (ite #20 #21 #24) -#26 := (ite #14 0::int #25) -#27 := (= #10 #26) -#28 := (forall (vars (?v0 int) (?v1 int)) #27) -#138 := (iff #28 #135) -#77 := (and #16 #18) -#80 := (or #17 #77) -#93 := (ite #80 #21 #90) -#96 := (ite #14 0::int #93) -#99 := (= #10 #96) -#102 := (forall (vars (?v0 int) (?v1 int)) #99) -#136 := (iff #102 #135) -#133 := (iff #99 #132) -#130 := (= #96 #129) -#127 := (= #93 #126) -#124 := (iff #80 #123) -#121 := (iff #77 #120) -#118 := (iff #18 #117) -#119 := [rewrite]: #118 -#111 := (iff #16 #110) -#112 := [rewrite]: #111 -#122 := [monotonicity #112 #119]: #121 -#114 := (iff #17 #113) -#107 := (iff #15 #106) -#108 := [rewrite]: #107 -#115 := [monotonicity #108 #112]: #114 -#125 := [monotonicity #115 #122]: #124 -#128 := [monotonicity #125]: #127 -#131 := [monotonicity #128]: #130 -#134 := [monotonicity #131]: #133 -#137 := [quant-intro #134]: #136 -#103 := (iff #28 #102) -#100 := (iff #27 #99) -#97 := (= #26 #96) -#94 := (= #25 #93) -#91 := (= #24 #90) -#88 := (= #23 #87) -#89 := [rewrite]: #88 -#85 := (= #22 #84) -#86 := [rewrite]: #85 -#92 := [monotonicity #86 #89]: #91 -#81 := (iff #20 #80) -#78 := (iff #19 #77) -#79 := [rewrite]: #78 -#82 := [monotonicity #79]: #81 -#95 := [monotonicity #82 #92]: #94 -#98 := [monotonicity #95]: #97 -#101 := [monotonicity #98]: #100 -#104 := [quant-intro #101]: #103 -#139 := [trans #104 #137]: #138 -#76 := [asserted]: #28 -#140 := [mp #76 #139]: #135 -#274 := [mp~ #140 #290]: #135 -#326 := [mp #274 #325]: #323 -#357 := [mp #326 #356]: #354 -#851 := [mp #357 #850]: #846 -#788 := (not #846) -#794 := (or #788 #840) -#431 := (* -1::int 0::int) -#516 := (* -1::int #54) -#517 := (div #516 #431) -#518 := (* -1::int #517) -#509 := (+ #55 #518) -#520 := (= #509 0::int) -#521 := (div #54 0::int) -#449 := (* -1::int #521) -#522 := (+ #55 #449) -#519 := (= #522 0::int) -#523 := (<= 0::int 0::int) -#502 := (<= #54 0::int) -#837 := (or #502 #523) -#839 := (not #837) -#496 := (>= #54 0::int) -#626 := (or #523 #496) -#833 := (not #626) -#507 := (or #833 #839) -#508 := (ite #507 #519 #520) -#841 := (= 0::int 0::int) -#842 := (= #54 0::int) -#843 := (or #842 #841) -#838 := (ite #843 #840 #508) -#795 := (or #788 #838) -#796 := (iff #795 #794) -#627 := (iff #794 #794) -#628 := [rewrite]: #627 -#793 := (iff #838 #840) -#529 := (div #516 0::int) -#809 := (* -1::int #529) -#810 := (+ #55 #809) -#800 := (= #810 0::int) -#1 := true -#647 := (ite true #840 #800) -#791 := (iff #647 #840) -#792 := [rewrite]: #791 -#648 := (iff #838 #647) -#805 := (iff #508 #800) -#797 := (ite false #519 #800) -#804 := (iff #797 #800) -#799 := [rewrite]: #804 -#798 := (iff #508 #797) -#801 := (iff #520 #800) -#807 := (= #509 #810) -#524 := (= #518 #809) -#530 := (= #517 #529) -#527 := (= #431 0::int) -#528 := [rewrite]: #527 -#808 := [monotonicity #528]: #530 -#806 := [monotonicity #808]: #524 -#811 := [monotonicity #806]: #807 -#802 := [monotonicity #811]: #801 -#813 := (iff #507 false) -#815 := (or false false) -#812 := (iff #815 false) -#816 := [rewrite]: #812 -#537 := (iff #507 #815) -#437 := (iff #839 false) -#821 := (not true) -#828 := (iff #821 false) -#830 := [rewrite]: #828 -#543 := (iff #839 #821) -#541 := (iff #837 true) -#831 := (or #502 true) -#818 := (iff #831 true) -#819 := [rewrite]: #818 -#829 := (iff #837 #831) -#483 := (iff #523 true) -#484 := [rewrite]: #483 -#832 := [monotonicity #484]: #829 -#542 := [trans #832 #819]: #541 -#544 := [monotonicity #542]: #543 -#814 := [trans #544 #830]: #437 -#470 := (iff #833 false) -#827 := (iff #833 #821) -#825 := (iff #626 true) -#485 := (or true #496) -#823 := (iff #485 true) -#824 := [rewrite]: #823 -#486 := (iff #626 #485) -#822 := [monotonicity #484]: #486 -#826 := [trans #822 #824]: #825 -#465 := [monotonicity #826]: #827 -#471 := [trans #465 #830]: #470 -#538 := [monotonicity #471 #814]: #537 -#817 := [trans #538 #816]: #813 -#803 := [monotonicity #817 #802]: #798 -#646 := [trans #803 #799]: #805 -#479 := (iff #843 true) -#494 := (or #842 true) -#495 := (iff #494 true) -#836 := [rewrite]: #495 -#499 := (iff #843 #494) -#844 := (iff #841 true) -#834 := [rewrite]: #844 -#835 := [monotonicity #834]: #499 -#820 := [trans #835 #836]: #479 -#790 := [monotonicity #820 #646]: #648 -#787 := [trans #790 #792]: #793 -#625 := [monotonicity #787]: #796 -#781 := [trans #625 #628]: #796 -#789 := [quant-inst]: #795 -#782 := [mp #789 #781]: #794 -#737 := [unit-resolution #782 #851]: #840 -#738 := [monotonicity #737]: #58 -#59 := (not #58) -#271 := [asserted]: #59 -[unit-resolution #271 #738]: false -unsat -548d39bc73378ffff45c17ea9af834838e4f2aed 274 0 +f9ec262ae3b89f82ea2dac0232937218e79cd135 274 0 #2 := false decl f5 :: (-> int S2) #11 := 0::int @@ -13749,7 +13483,273 @@ #269 := [asserted]: #57 [unit-resolution #269 #742]: false unsat -426e56a2fa6cae689a233b52c380ff3e1f4c5d0f 287 0 +2445ca30fa757c71a9c6aa886c0159c1fde53406 265 0 +#2 := false +decl f5 :: (-> int S2) +#11 := 0::int +#57 := (f5 0::int) +decl f3 :: (-> int int int) +decl f6 :: (-> S2 int) +decl f7 :: S2 +#53 := f7 +#54 := (f6 f7) +#55 := (f3 #54 0::int) +#56 := (f5 #55) +#58 := (= #56 #57) +#840 := (= #55 0::int) +#9 := (:var 0 int) +#8 := (:var 1 int) +#10 := (f3 #8 #9) +#845 := (pattern #10) +#83 := -1::int +#87 := (* -1::int #9) +#84 := (* -1::int #8) +#90 := (div #84 #87) +#347 := (* -1::int #90) +#348 := (+ #10 #347) +#349 := (= #348 0::int) +#21 := (div #8 #9) +#344 := (* -1::int #21) +#345 := (+ #10 #344) +#346 := (= #345 0::int) +#109 := (<= #9 0::int) +#105 := (<= #8 0::int) +#302 := (or #105 #109) +#303 := (not #302) +#116 := (>= #8 0::int) +#285 := (or #109 #116) +#286 := (not #285) +#309 := (or #286 #303) +#350 := (ite #309 #346 #349) +#343 := (= #10 0::int) +#13 := (= #9 0::int) +#12 := (= #8 0::int) +#14 := (or #12 #13) +#351 := (ite #14 #343 #350) +#846 := (forall (vars (?v0 int) (?v1 int)) (:pat #845) #351) +#354 := (forall (vars (?v0 int) (?v1 int)) #351) +#849 := (iff #354 #846) +#847 := (iff #351 #351) +#848 := [refl]: #847 +#850 := [quant-intro #848]: #849 +#314 := (ite #309 #21 #90) +#317 := (ite #14 0::int #314) +#320 := (= #10 #317) +#323 := (forall (vars (?v0 int) (?v1 int)) #320) +#355 := (iff #323 #354) +#352 := (iff #320 #351) +#353 := [rewrite]: #352 +#356 := [quant-intro #353]: #355 +#117 := (not #116) +#110 := (not #109) +#120 := (and #110 #117) +#106 := (not #105) +#113 := (and #106 #110) +#123 := (or #113 #120) +#126 := (ite #123 #21 #90) +#129 := (ite #14 0::int #126) +#132 := (= #10 #129) +#135 := (forall (vars (?v0 int) (?v1 int)) #132) +#324 := (iff #135 #323) +#321 := (iff #132 #320) +#318 := (= #129 #317) +#315 := (= #126 #314) +#312 := (iff #123 #309) +#306 := (or #303 #286) +#310 := (iff #306 #309) +#311 := [rewrite]: #310 +#307 := (iff #123 #306) +#304 := (iff #120 #286) +#305 := [rewrite]: #304 +#283 := (iff #113 #303) +#284 := [rewrite]: #283 +#308 := [monotonicity #284 #305]: #307 +#313 := [trans #308 #311]: #312 +#316 := [monotonicity #313]: #315 +#319 := [monotonicity #316]: #318 +#322 := [monotonicity #319]: #321 +#325 := [quant-intro #322]: #324 +#289 := (~ #135 #135) +#287 := (~ #132 #132) +#288 := [refl]: #287 +#290 := [nnf-pos #288]: #289 +#23 := (- #9) +#22 := (- #8) +#24 := (div #22 #23) +#16 := (< 0::int #9) +#18 := (< #8 0::int) +#19 := (and #18 #16) +#15 := (< 0::int #8) +#17 := (and #15 #16) +#20 := (or #17 #19) +#25 := (ite #20 #21 #24) +#26 := (ite #14 0::int #25) +#27 := (= #10 #26) +#28 := (forall (vars (?v0 int) (?v1 int)) #27) +#138 := (iff #28 #135) +#77 := (and #16 #18) +#80 := (or #17 #77) +#93 := (ite #80 #21 #90) +#96 := (ite #14 0::int #93) +#99 := (= #10 #96) +#102 := (forall (vars (?v0 int) (?v1 int)) #99) +#136 := (iff #102 #135) +#133 := (iff #99 #132) +#130 := (= #96 #129) +#127 := (= #93 #126) +#124 := (iff #80 #123) +#121 := (iff #77 #120) +#118 := (iff #18 #117) +#119 := [rewrite]: #118 +#111 := (iff #16 #110) +#112 := [rewrite]: #111 +#122 := [monotonicity #112 #119]: #121 +#114 := (iff #17 #113) +#107 := (iff #15 #106) +#108 := [rewrite]: #107 +#115 := [monotonicity #108 #112]: #114 +#125 := [monotonicity #115 #122]: #124 +#128 := [monotonicity #125]: #127 +#131 := [monotonicity #128]: #130 +#134 := [monotonicity #131]: #133 +#137 := [quant-intro #134]: #136 +#103 := (iff #28 #102) +#100 := (iff #27 #99) +#97 := (= #26 #96) +#94 := (= #25 #93) +#91 := (= #24 #90) +#88 := (= #23 #87) +#89 := [rewrite]: #88 +#85 := (= #22 #84) +#86 := [rewrite]: #85 +#92 := [monotonicity #86 #89]: #91 +#81 := (iff #20 #80) +#78 := (iff #19 #77) +#79 := [rewrite]: #78 +#82 := [monotonicity #79]: #81 +#95 := [monotonicity #82 #92]: #94 +#98 := [monotonicity #95]: #97 +#101 := [monotonicity #98]: #100 +#104 := [quant-intro #101]: #103 +#139 := [trans #104 #137]: #138 +#76 := [asserted]: #28 +#140 := [mp #76 #139]: #135 +#274 := [mp~ #140 #290]: #135 +#326 := [mp #274 #325]: #323 +#357 := [mp #326 #356]: #354 +#851 := [mp #357 #850]: #846 +#788 := (not #846) +#794 := (or #788 #840) +#431 := (* -1::int 0::int) +#516 := (* -1::int #54) +#517 := (div #516 #431) +#518 := (* -1::int #517) +#509 := (+ #55 #518) +#520 := (= #509 0::int) +#521 := (div #54 0::int) +#449 := (* -1::int #521) +#522 := (+ #55 #449) +#519 := (= #522 0::int) +#523 := (<= 0::int 0::int) +#502 := (<= #54 0::int) +#837 := (or #502 #523) +#839 := (not #837) +#496 := (>= #54 0::int) +#626 := (or #523 #496) +#833 := (not #626) +#507 := (or #833 #839) +#508 := (ite #507 #519 #520) +#841 := (= 0::int 0::int) +#842 := (= #54 0::int) +#843 := (or #842 #841) +#838 := (ite #843 #840 #508) +#795 := (or #788 #838) +#796 := (iff #795 #794) +#627 := (iff #794 #794) +#628 := [rewrite]: #627 +#793 := (iff #838 #840) +#529 := (div #516 0::int) +#809 := (* -1::int #529) +#810 := (+ #55 #809) +#800 := (= #810 0::int) +#1 := true +#647 := (ite true #840 #800) +#791 := (iff #647 #840) +#792 := [rewrite]: #791 +#648 := (iff #838 #647) +#805 := (iff #508 #800) +#797 := (ite false #519 #800) +#804 := (iff #797 #800) +#799 := [rewrite]: #804 +#798 := (iff #508 #797) +#801 := (iff #520 #800) +#807 := (= #509 #810) +#524 := (= #518 #809) +#530 := (= #517 #529) +#527 := (= #431 0::int) +#528 := [rewrite]: #527 +#808 := [monotonicity #528]: #530 +#806 := [monotonicity #808]: #524 +#811 := [monotonicity #806]: #807 +#802 := [monotonicity #811]: #801 +#813 := (iff #507 false) +#815 := (or false false) +#812 := (iff #815 false) +#816 := [rewrite]: #812 +#537 := (iff #507 #815) +#437 := (iff #839 false) +#821 := (not true) +#828 := (iff #821 false) +#830 := [rewrite]: #828 +#543 := (iff #839 #821) +#541 := (iff #837 true) +#831 := (or #502 true) +#818 := (iff #831 true) +#819 := [rewrite]: #818 +#829 := (iff #837 #831) +#483 := (iff #523 true) +#484 := [rewrite]: #483 +#832 := [monotonicity #484]: #829 +#542 := [trans #832 #819]: #541 +#544 := [monotonicity #542]: #543 +#814 := [trans #544 #830]: #437 +#470 := (iff #833 false) +#827 := (iff #833 #821) +#825 := (iff #626 true) +#485 := (or true #496) +#823 := (iff #485 true) +#824 := [rewrite]: #823 +#486 := (iff #626 #485) +#822 := [monotonicity #484]: #486 +#826 := [trans #822 #824]: #825 +#465 := [monotonicity #826]: #827 +#471 := [trans #465 #830]: #470 +#538 := [monotonicity #471 #814]: #537 +#817 := [trans #538 #816]: #813 +#803 := [monotonicity #817 #802]: #798 +#646 := [trans #803 #799]: #805 +#479 := (iff #843 true) +#494 := (or #842 true) +#495 := (iff #494 true) +#836 := [rewrite]: #495 +#499 := (iff #843 #494) +#844 := (iff #841 true) +#834 := [rewrite]: #844 +#835 := [monotonicity #834]: #499 +#820 := [trans #835 #836]: #479 +#790 := [monotonicity #820 #646]: #648 +#787 := [trans #790 #792]: #793 +#625 := [monotonicity #787]: #796 +#781 := [trans #625 #628]: #796 +#789 := [quant-inst]: #795 +#782 := [mp #789 #781]: #794 +#737 := [unit-resolution #782 #851]: #840 +#738 := [monotonicity #737]: #58 +#59 := (not #58) +#271 := [asserted]: #59 +[unit-resolution #271 #738]: false +unsat +7a16e7d1cff95b977a46175f34e2f58dc17b201b 287 0 #2 := false decl f5 :: (-> int S2) #11 := 0::int @@ -14037,7 +14037,7 @@ #270 := [asserted]: #58 [unit-resolution #270 #691]: false unsat -2a856348a2d0d12d43659d3f8fbd60f2f395959a 321 0 +3fde1aa3674893464f069812a19859471255da8e 321 0 #2 := false decl f5 :: (-> int S2) decl f4 :: (-> int int int) @@ -14359,7 +14359,7 @@ #279 := [mp #270 #276]: #274 [unit-resolution #279 #757]: false unsat -f595f2976198bb59087cfc3afdc24567f743886b 287 0 +c6bc1ae49d3543060aab7bd42065cc7be0e98df3 287 0 #2 := false decl f5 :: (-> int S2) #53 := 1::int @@ -14647,306 +14647,7 @@ #270 := [asserted]: #58 [unit-resolution #270 #692]: false unsat -69a73700cfd90edae90cc37e225595659ec32fc1 298 0 -#2 := false -decl f5 :: (-> int S2) -#53 := 3::int -#57 := (f5 3::int) -decl f3 :: (-> int int int) -#54 := 1::int -#55 := (f3 3::int 1::int) -#56 := (f5 #55) -#58 := (= #56 #57) -#790 := (= #55 3::int) -#9 := (:var 0 int) -#8 := (:var 1 int) -#10 := (f3 #8 #9) -#844 := (pattern #10) -#11 := 0::int -#83 := -1::int -#87 := (* -1::int #9) -#84 := (* -1::int #8) -#90 := (div #84 #87) -#347 := (* -1::int #90) -#348 := (+ #10 #347) -#349 := (= #348 0::int) -#21 := (div #8 #9) -#344 := (* -1::int #21) -#345 := (+ #10 #344) -#346 := (= #345 0::int) -#109 := (<= #9 0::int) -#105 := (<= #8 0::int) -#302 := (or #105 #109) -#303 := (not #302) -#116 := (>= #8 0::int) -#285 := (or #109 #116) -#286 := (not #285) -#309 := (or #286 #303) -#350 := (ite #309 #346 #349) -#343 := (= #10 0::int) -#13 := (= #9 0::int) -#12 := (= #8 0::int) -#14 := (or #12 #13) -#351 := (ite #14 #343 #350) -#845 := (forall (vars (?v0 int) (?v1 int)) (:pat #844) #351) -#354 := (forall (vars (?v0 int) (?v1 int)) #351) -#848 := (iff #354 #845) -#846 := (iff #351 #351) -#847 := [refl]: #846 -#849 := [quant-intro #847]: #848 -#314 := (ite #309 #21 #90) -#317 := (ite #14 0::int #314) -#320 := (= #10 #317) -#323 := (forall (vars (?v0 int) (?v1 int)) #320) -#355 := (iff #323 #354) -#352 := (iff #320 #351) -#353 := [rewrite]: #352 -#356 := [quant-intro #353]: #355 -#117 := (not #116) -#110 := (not #109) -#120 := (and #110 #117) -#106 := (not #105) -#113 := (and #106 #110) -#123 := (or #113 #120) -#126 := (ite #123 #21 #90) -#129 := (ite #14 0::int #126) -#132 := (= #10 #129) -#135 := (forall (vars (?v0 int) (?v1 int)) #132) -#324 := (iff #135 #323) -#321 := (iff #132 #320) -#318 := (= #129 #317) -#315 := (= #126 #314) -#312 := (iff #123 #309) -#306 := (or #303 #286) -#310 := (iff #306 #309) -#311 := [rewrite]: #310 -#307 := (iff #123 #306) -#304 := (iff #120 #286) -#305 := [rewrite]: #304 -#283 := (iff #113 #303) -#284 := [rewrite]: #283 -#308 := [monotonicity #284 #305]: #307 -#313 := [trans #308 #311]: #312 -#316 := [monotonicity #313]: #315 -#319 := [monotonicity #316]: #318 -#322 := [monotonicity #319]: #321 -#325 := [quant-intro #322]: #324 -#289 := (~ #135 #135) -#287 := (~ #132 #132) -#288 := [refl]: #287 -#290 := [nnf-pos #288]: #289 -#23 := (- #9) -#22 := (- #8) -#24 := (div #22 #23) -#16 := (< 0::int #9) -#18 := (< #8 0::int) -#19 := (and #18 #16) -#15 := (< 0::int #8) -#17 := (and #15 #16) -#20 := (or #17 #19) -#25 := (ite #20 #21 #24) -#26 := (ite #14 0::int #25) -#27 := (= #10 #26) -#28 := (forall (vars (?v0 int) (?v1 int)) #27) -#138 := (iff #28 #135) -#77 := (and #16 #18) -#80 := (or #17 #77) -#93 := (ite #80 #21 #90) -#96 := (ite #14 0::int #93) -#99 := (= #10 #96) -#102 := (forall (vars (?v0 int) (?v1 int)) #99) -#136 := (iff #102 #135) -#133 := (iff #99 #132) -#130 := (= #96 #129) -#127 := (= #93 #126) -#124 := (iff #80 #123) -#121 := (iff #77 #120) -#118 := (iff #18 #117) -#119 := [rewrite]: #118 -#111 := (iff #16 #110) -#112 := [rewrite]: #111 -#122 := [monotonicity #112 #119]: #121 -#114 := (iff #17 #113) -#107 := (iff #15 #106) -#108 := [rewrite]: #107 -#115 := [monotonicity #108 #112]: #114 -#125 := [monotonicity #115 #122]: #124 -#128 := [monotonicity #125]: #127 -#131 := [monotonicity #128]: #130 -#134 := [monotonicity #131]: #133 -#137 := [quant-intro #134]: #136 -#103 := (iff #28 #102) -#100 := (iff #27 #99) -#97 := (= #26 #96) -#94 := (= #25 #93) -#91 := (= #24 #90) -#88 := (= #23 #87) -#89 := [rewrite]: #88 -#85 := (= #22 #84) -#86 := [rewrite]: #85 -#92 := [monotonicity #86 #89]: #91 -#81 := (iff #20 #80) -#78 := (iff #19 #77) -#79 := [rewrite]: #78 -#82 := [monotonicity #79]: #81 -#95 := [monotonicity #82 #92]: #94 -#98 := [monotonicity #95]: #97 -#101 := [monotonicity #98]: #100 -#104 := [quant-intro #101]: #103 -#139 := [trans #104 #137]: #138 -#76 := [asserted]: #28 -#140 := [mp #76 #139]: #135 -#274 := [mp~ #140 #290]: #135 -#326 := [mp #274 #325]: #323 -#357 := [mp #326 #356]: #354 -#850 := [mp #357 #849]: #845 -#766 := (not #845) -#768 := (or #766 #790) -#431 := (* -1::int 1::int) -#515 := (* -1::int 3::int) -#516 := (div #515 #431) -#517 := (* -1::int #516) -#508 := (+ #55 #517) -#519 := (= #508 0::int) -#520 := (div 3::int 1::int) -#521 := (* -1::int #520) -#518 := (+ #55 #521) -#522 := (= #518 0::int) -#501 := (<= 1::int 0::int) -#836 := (<= 3::int 0::int) -#838 := (or #836 #501) -#495 := (not #838) -#625 := (>= 3::int 0::int) -#832 := (or #501 #625) -#506 := (not #832) -#507 := (or #506 #495) -#839 := (ite #507 #522 #519) -#840 := (= #55 0::int) -#841 := (= 1::int 0::int) -#842 := (= 3::int 0::int) -#837 := (or #842 #841) -#843 := (ite #837 #840 #839) -#760 := (or #766 #843) -#759 := (iff #760 #768) -#770 := (iff #768 #768) -#771 := [rewrite]: #770 -#775 := (iff #843 #790) -#682 := (ite false #840 #790) -#685 := (iff #682 #790) -#778 := [rewrite]: #685 -#683 := (iff #843 #682) -#673 := (iff #839 #790) -#1 := true -#777 := (ite true #790 #790) -#679 := (iff #777 #790) -#680 := [rewrite]: #679 -#662 := (iff #839 #777) -#773 := (iff #519 #790) -#809 := -3::int -#802 := (+ -3::int #55) -#646 := (= #802 0::int) -#791 := (iff #646 #790) -#792 := [rewrite]: #791 -#776 := (iff #519 #646) -#669 := (= #508 #802) -#801 := (+ #55 -3::int) -#803 := (= #801 #802) -#798 := [rewrite]: #803 -#667 := (= #508 #801) -#782 := (= #517 -3::int) -#806 := (= #515 -3::int) -#810 := [rewrite]: #806 -#783 := (= #517 #515) -#780 := (= #516 3::int) -#788 := (div -3::int -1::int) -#626 := (= #788 3::int) -#627 := [rewrite]: #626 -#795 := (= #516 #788) -#793 := (= #431 -1::int) -#794 := [rewrite]: #793 -#624 := [monotonicity #810 #794]: #795 -#781 := [trans #624 #627]: #780 -#784 := [monotonicity #781]: #783 -#785 := [trans #784 #810]: #782 -#668 := [monotonicity #785]: #667 -#628 := [trans #668 #798]: #669 -#678 := [monotonicity #628]: #776 -#774 := [trans #678 #792]: #773 -#786 := (iff #522 #790) -#647 := (iff #522 #646) -#804 := (= #518 #802) -#796 := (= #518 #801) -#799 := (= #521 -3::int) -#523 := (= #521 #515) -#807 := (= #520 3::int) -#808 := [rewrite]: #807 -#805 := [monotonicity #808]: #523 -#800 := [trans #805 #810]: #799 -#797 := [monotonicity #800]: #796 -#645 := [trans #797 #798]: #804 -#789 := [monotonicity #645]: #647 -#787 := [trans #789 #792]: #786 -#528 := (iff #507 true) -#824 := (or false true) -#826 := (iff #824 true) -#464 := [rewrite]: #826 -#526 := (iff #507 #824) -#812 := (iff #495 true) -#814 := (not false) -#811 := (iff #814 true) -#815 := [rewrite]: #811 -#536 := (iff #495 #814) -#437 := (iff #838 false) -#494 := (or false false) -#819 := (iff #494 false) -#482 := [rewrite]: #819 -#542 := (iff #838 #494) -#485 := (iff #501 false) -#821 := [rewrite]: #485 -#540 := (iff #836 false) -#541 := [rewrite]: #540 -#543 := [monotonicity #541 #821]: #542 -#813 := [trans #543 #482]: #437 -#537 := [monotonicity #813]: #536 -#816 := [trans #537 #815]: #812 -#817 := (iff #506 false) -#469 := (not true) -#828 := (iff #469 false) -#831 := [rewrite]: #828 -#470 := (iff #506 #469) -#827 := (iff #832 true) -#825 := (iff #832 #824) -#822 := (iff #625 true) -#823 := [rewrite]: #822 -#820 := [monotonicity #821 #823]: #825 -#829 := [trans #820 #464]: #827 -#830 := [monotonicity #829]: #470 -#818 := [trans #830 #831]: #817 -#527 := [monotonicity #818 #816]: #526 -#529 := [trans #527 #464]: #528 -#677 := [monotonicity #529 #787 #774]: #662 -#681 := [trans #677 #680]: #673 -#483 := (iff #837 false) -#835 := (iff #837 #494) -#498 := (iff #841 false) -#834 := [rewrite]: #498 -#833 := (iff #842 false) -#493 := [rewrite]: #833 -#478 := [monotonicity #493 #834]: #835 -#484 := [trans #478 #482]: #483 -#684 := [monotonicity #484 #681]: #683 -#779 := [trans #684 #778]: #775 -#769 := [monotonicity #779]: #759 -#767 := [trans #769 #771]: #759 -#757 := [quant-inst]: #760 -#772 := [mp #757 #767]: #768 -#705 := [unit-resolution #772 #850]: #790 -#706 := [monotonicity #705]: #58 -#59 := (not #58) -#271 := [asserted]: #59 -[unit-resolution #271 #706]: false -unsat -42cd145e516d85b450559c9cc1b54c1ed7265de3 304 0 +1ce1abcb126a1a568a3f8f5f2b0d8898293280b4 304 0 #2 := false decl f5 :: (-> int S2) #11 := 0::int @@ -15251,7 +14952,609 @@ #270 := [asserted]: #58 [unit-resolution #270 #708]: false unsat -4183c3ff4a9f3923626099be345775dc19db2d14 360 0 +8182954e616c62f0cc886f21c7ebfe80a132d572 298 0 +#2 := false +decl f5 :: (-> int S2) +#53 := 3::int +#57 := (f5 3::int) +decl f3 :: (-> int int int) +#54 := 1::int +#55 := (f3 3::int 1::int) +#56 := (f5 #55) +#58 := (= #56 #57) +#790 := (= #55 3::int) +#9 := (:var 0 int) +#8 := (:var 1 int) +#10 := (f3 #8 #9) +#844 := (pattern #10) +#11 := 0::int +#83 := -1::int +#87 := (* -1::int #9) +#84 := (* -1::int #8) +#90 := (div #84 #87) +#347 := (* -1::int #90) +#348 := (+ #10 #347) +#349 := (= #348 0::int) +#21 := (div #8 #9) +#344 := (* -1::int #21) +#345 := (+ #10 #344) +#346 := (= #345 0::int) +#109 := (<= #9 0::int) +#105 := (<= #8 0::int) +#302 := (or #105 #109) +#303 := (not #302) +#116 := (>= #8 0::int) +#285 := (or #109 #116) +#286 := (not #285) +#309 := (or #286 #303) +#350 := (ite #309 #346 #349) +#343 := (= #10 0::int) +#13 := (= #9 0::int) +#12 := (= #8 0::int) +#14 := (or #12 #13) +#351 := (ite #14 #343 #350) +#845 := (forall (vars (?v0 int) (?v1 int)) (:pat #844) #351) +#354 := (forall (vars (?v0 int) (?v1 int)) #351) +#848 := (iff #354 #845) +#846 := (iff #351 #351) +#847 := [refl]: #846 +#849 := [quant-intro #847]: #848 +#314 := (ite #309 #21 #90) +#317 := (ite #14 0::int #314) +#320 := (= #10 #317) +#323 := (forall (vars (?v0 int) (?v1 int)) #320) +#355 := (iff #323 #354) +#352 := (iff #320 #351) +#353 := [rewrite]: #352 +#356 := [quant-intro #353]: #355 +#117 := (not #116) +#110 := (not #109) +#120 := (and #110 #117) +#106 := (not #105) +#113 := (and #106 #110) +#123 := (or #113 #120) +#126 := (ite #123 #21 #90) +#129 := (ite #14 0::int #126) +#132 := (= #10 #129) +#135 := (forall (vars (?v0 int) (?v1 int)) #132) +#324 := (iff #135 #323) +#321 := (iff #132 #320) +#318 := (= #129 #317) +#315 := (= #126 #314) +#312 := (iff #123 #309) +#306 := (or #303 #286) +#310 := (iff #306 #309) +#311 := [rewrite]: #310 +#307 := (iff #123 #306) +#304 := (iff #120 #286) +#305 := [rewrite]: #304 +#283 := (iff #113 #303) +#284 := [rewrite]: #283 +#308 := [monotonicity #284 #305]: #307 +#313 := [trans #308 #311]: #312 +#316 := [monotonicity #313]: #315 +#319 := [monotonicity #316]: #318 +#322 := [monotonicity #319]: #321 +#325 := [quant-intro #322]: #324 +#289 := (~ #135 #135) +#287 := (~ #132 #132) +#288 := [refl]: #287 +#290 := [nnf-pos #288]: #289 +#23 := (- #9) +#22 := (- #8) +#24 := (div #22 #23) +#16 := (< 0::int #9) +#18 := (< #8 0::int) +#19 := (and #18 #16) +#15 := (< 0::int #8) +#17 := (and #15 #16) +#20 := (or #17 #19) +#25 := (ite #20 #21 #24) +#26 := (ite #14 0::int #25) +#27 := (= #10 #26) +#28 := (forall (vars (?v0 int) (?v1 int)) #27) +#138 := (iff #28 #135) +#77 := (and #16 #18) +#80 := (or #17 #77) +#93 := (ite #80 #21 #90) +#96 := (ite #14 0::int #93) +#99 := (= #10 #96) +#102 := (forall (vars (?v0 int) (?v1 int)) #99) +#136 := (iff #102 #135) +#133 := (iff #99 #132) +#130 := (= #96 #129) +#127 := (= #93 #126) +#124 := (iff #80 #123) +#121 := (iff #77 #120) +#118 := (iff #18 #117) +#119 := [rewrite]: #118 +#111 := (iff #16 #110) +#112 := [rewrite]: #111 +#122 := [monotonicity #112 #119]: #121 +#114 := (iff #17 #113) +#107 := (iff #15 #106) +#108 := [rewrite]: #107 +#115 := [monotonicity #108 #112]: #114 +#125 := [monotonicity #115 #122]: #124 +#128 := [monotonicity #125]: #127 +#131 := [monotonicity #128]: #130 +#134 := [monotonicity #131]: #133 +#137 := [quant-intro #134]: #136 +#103 := (iff #28 #102) +#100 := (iff #27 #99) +#97 := (= #26 #96) +#94 := (= #25 #93) +#91 := (= #24 #90) +#88 := (= #23 #87) +#89 := [rewrite]: #88 +#85 := (= #22 #84) +#86 := [rewrite]: #85 +#92 := [monotonicity #86 #89]: #91 +#81 := (iff #20 #80) +#78 := (iff #19 #77) +#79 := [rewrite]: #78 +#82 := [monotonicity #79]: #81 +#95 := [monotonicity #82 #92]: #94 +#98 := [monotonicity #95]: #97 +#101 := [monotonicity #98]: #100 +#104 := [quant-intro #101]: #103 +#139 := [trans #104 #137]: #138 +#76 := [asserted]: #28 +#140 := [mp #76 #139]: #135 +#274 := [mp~ #140 #290]: #135 +#326 := [mp #274 #325]: #323 +#357 := [mp #326 #356]: #354 +#850 := [mp #357 #849]: #845 +#766 := (not #845) +#768 := (or #766 #790) +#431 := (* -1::int 1::int) +#515 := (* -1::int 3::int) +#516 := (div #515 #431) +#517 := (* -1::int #516) +#508 := (+ #55 #517) +#519 := (= #508 0::int) +#520 := (div 3::int 1::int) +#521 := (* -1::int #520) +#518 := (+ #55 #521) +#522 := (= #518 0::int) +#501 := (<= 1::int 0::int) +#836 := (<= 3::int 0::int) +#838 := (or #836 #501) +#495 := (not #838) +#625 := (>= 3::int 0::int) +#832 := (or #501 #625) +#506 := (not #832) +#507 := (or #506 #495) +#839 := (ite #507 #522 #519) +#840 := (= #55 0::int) +#841 := (= 1::int 0::int) +#842 := (= 3::int 0::int) +#837 := (or #842 #841) +#843 := (ite #837 #840 #839) +#760 := (or #766 #843) +#759 := (iff #760 #768) +#770 := (iff #768 #768) +#771 := [rewrite]: #770 +#775 := (iff #843 #790) +#682 := (ite false #840 #790) +#685 := (iff #682 #790) +#778 := [rewrite]: #685 +#683 := (iff #843 #682) +#673 := (iff #839 #790) +#1 := true +#777 := (ite true #790 #790) +#679 := (iff #777 #790) +#680 := [rewrite]: #679 +#662 := (iff #839 #777) +#773 := (iff #519 #790) +#809 := -3::int +#802 := (+ -3::int #55) +#646 := (= #802 0::int) +#791 := (iff #646 #790) +#792 := [rewrite]: #791 +#776 := (iff #519 #646) +#669 := (= #508 #802) +#801 := (+ #55 -3::int) +#803 := (= #801 #802) +#798 := [rewrite]: #803 +#667 := (= #508 #801) +#782 := (= #517 -3::int) +#806 := (= #515 -3::int) +#810 := [rewrite]: #806 +#783 := (= #517 #515) +#780 := (= #516 3::int) +#788 := (div -3::int -1::int) +#626 := (= #788 3::int) +#627 := [rewrite]: #626 +#795 := (= #516 #788) +#793 := (= #431 -1::int) +#794 := [rewrite]: #793 +#624 := [monotonicity #810 #794]: #795 +#781 := [trans #624 #627]: #780 +#784 := [monotonicity #781]: #783 +#785 := [trans #784 #810]: #782 +#668 := [monotonicity #785]: #667 +#628 := [trans #668 #798]: #669 +#678 := [monotonicity #628]: #776 +#774 := [trans #678 #792]: #773 +#786 := (iff #522 #790) +#647 := (iff #522 #646) +#804 := (= #518 #802) +#796 := (= #518 #801) +#799 := (= #521 -3::int) +#523 := (= #521 #515) +#807 := (= #520 3::int) +#808 := [rewrite]: #807 +#805 := [monotonicity #808]: #523 +#800 := [trans #805 #810]: #799 +#797 := [monotonicity #800]: #796 +#645 := [trans #797 #798]: #804 +#789 := [monotonicity #645]: #647 +#787 := [trans #789 #792]: #786 +#528 := (iff #507 true) +#824 := (or false true) +#826 := (iff #824 true) +#464 := [rewrite]: #826 +#526 := (iff #507 #824) +#812 := (iff #495 true) +#814 := (not false) +#811 := (iff #814 true) +#815 := [rewrite]: #811 +#536 := (iff #495 #814) +#437 := (iff #838 false) +#494 := (or false false) +#819 := (iff #494 false) +#482 := [rewrite]: #819 +#542 := (iff #838 #494) +#485 := (iff #501 false) +#821 := [rewrite]: #485 +#540 := (iff #836 false) +#541 := [rewrite]: #540 +#543 := [monotonicity #541 #821]: #542 +#813 := [trans #543 #482]: #437 +#537 := [monotonicity #813]: #536 +#816 := [trans #537 #815]: #812 +#817 := (iff #506 false) +#469 := (not true) +#828 := (iff #469 false) +#831 := [rewrite]: #828 +#470 := (iff #506 #469) +#827 := (iff #832 true) +#825 := (iff #832 #824) +#822 := (iff #625 true) +#823 := [rewrite]: #822 +#820 := [monotonicity #821 #823]: #825 +#829 := [trans #820 #464]: #827 +#830 := [monotonicity #829]: #470 +#818 := [trans #830 #831]: #817 +#527 := [monotonicity #818 #816]: #526 +#529 := [trans #527 #464]: #528 +#677 := [monotonicity #529 #787 #774]: #662 +#681 := [trans #677 #680]: #673 +#483 := (iff #837 false) +#835 := (iff #837 #494) +#498 := (iff #841 false) +#834 := [rewrite]: #498 +#833 := (iff #842 false) +#493 := [rewrite]: #833 +#478 := [monotonicity #493 #834]: #835 +#484 := [trans #478 #482]: #483 +#684 := [monotonicity #484 #681]: #683 +#779 := [trans #684 #778]: #775 +#769 := [monotonicity #779]: #759 +#767 := [trans #769 #771]: #759 +#757 := [quant-inst]: #760 +#772 := [mp #757 #767]: #768 +#705 := [unit-resolution #772 #850]: #790 +#706 := [monotonicity #705]: #58 +#59 := (not #58) +#271 := [asserted]: #59 +[unit-resolution #271 #706]: false +unsat +a73336d8974d339785d03ee7b06059fa66e36b1e 302 0 +#2 := false +decl f5 :: (-> int S2) +#11 := 0::int +#56 := (f5 0::int) +decl f4 :: (-> int int int) +#53 := 1::int +#54 := (f4 1::int 1::int) +#55 := (f5 #54) +#57 := (= #55 #56) +#505 := (= #54 0::int) +#9 := (:var 0 int) +#8 := (:var 1 int) +#29 := (f4 #8 #9) +#850 := (pattern #29) +#82 := -1::int +#86 := (* -1::int #9) +#83 := (* -1::int #8) +#141 := (mod #83 #86) +#362 := (+ #29 #141) +#363 := (= #362 0::int) +#30 := (mod #8 #9) +#359 := (* -1::int #30) +#360 := (+ #29 #359) +#361 := (= #360 0::int) +#108 := (<= #9 0::int) +#104 := (<= #8 0::int) +#301 := (or #104 #108) +#302 := (not #301) +#115 := (>= #8 0::int) +#284 := (or #108 #115) +#285 := (not #284) +#308 := (or #285 #302) +#364 := (ite #308 #361 #363) +#358 := (= #29 0::int) +#12 := (= #8 0::int) +#365 := (ite #12 #358 #364) +#357 := (= #8 #29) +#13 := (= #9 0::int) +#366 := (ite #13 #357 #365) +#851 := (forall (vars (?v0 int) (?v1 int)) (:pat #850) #366) +#369 := (forall (vars (?v0 int) (?v1 int)) #366) +#854 := (iff #369 #851) +#852 := (iff #366 #366) +#853 := [refl]: #852 +#855 := [quant-intro #853]: #854 +#147 := (* -1::int #141) +#326 := (ite #308 #30 #147) +#329 := (ite #12 0::int #326) +#332 := (ite #13 #8 #329) +#335 := (= #29 #332) +#338 := (forall (vars (?v0 int) (?v1 int)) #335) +#370 := (iff #338 #369) +#367 := (iff #335 #366) +#368 := [rewrite]: #367 +#371 := [quant-intro #368]: #370 +#116 := (not #115) +#109 := (not #108) +#119 := (and #109 #116) +#105 := (not #104) +#112 := (and #105 #109) +#122 := (or #112 #119) +#167 := (ite #122 #30 #147) +#170 := (ite #12 0::int #167) +#173 := (ite #13 #8 #170) +#176 := (= #29 #173) +#179 := (forall (vars (?v0 int) (?v1 int)) #176) +#339 := (iff #179 #338) +#336 := (iff #176 #335) +#333 := (= #173 #332) +#330 := (= #170 #329) +#327 := (= #167 #326) +#311 := (iff #122 #308) +#305 := (or #302 #285) +#309 := (iff #305 #308) +#310 := [rewrite]: #309 +#306 := (iff #122 #305) +#303 := (iff #119 #285) +#304 := [rewrite]: #303 +#282 := (iff #112 #302) +#283 := [rewrite]: #282 +#307 := [monotonicity #283 #304]: #306 +#312 := [trans #307 #310]: #311 +#328 := [monotonicity #312]: #327 +#331 := [monotonicity #328]: #330 +#334 := [monotonicity #331]: #333 +#337 := [monotonicity #334]: #336 +#340 := [quant-intro #337]: #339 +#274 := (~ #179 #179) +#271 := (~ #176 #176) +#290 := [refl]: #271 +#275 := [nnf-pos #290]: #274 +#23 := (- #9) +#22 := (- #8) +#31 := (mod #22 #23) +#32 := (- #31) +#16 := (< 0::int #9) +#18 := (< #8 0::int) +#19 := (and #18 #16) +#15 := (< 0::int #8) +#17 := (and #15 #16) +#20 := (or #17 #19) +#33 := (ite #20 #30 #32) +#34 := (ite #12 0::int #33) +#35 := (ite #13 #8 #34) +#36 := (= #29 #35) +#37 := (forall (vars (?v0 int) (?v1 int)) #36) +#182 := (iff #37 #179) +#76 := (and #16 #18) +#79 := (or #17 #76) +#152 := (ite #79 #30 #147) +#155 := (ite #12 0::int #152) +#158 := (ite #13 #8 #155) +#161 := (= #29 #158) +#164 := (forall (vars (?v0 int) (?v1 int)) #161) +#180 := (iff #164 #179) +#177 := (iff #161 #176) +#174 := (= #158 #173) +#171 := (= #155 #170) +#168 := (= #152 #167) +#123 := (iff #79 #122) +#120 := (iff #76 #119) +#117 := (iff #18 #116) +#118 := [rewrite]: #117 +#110 := (iff #16 #109) +#111 := [rewrite]: #110 +#121 := [monotonicity #111 #118]: #120 +#113 := (iff #17 #112) +#106 := (iff #15 #105) +#107 := [rewrite]: #106 +#114 := [monotonicity #107 #111]: #113 +#124 := [monotonicity #114 #121]: #123 +#169 := [monotonicity #124]: #168 +#172 := [monotonicity #169]: #171 +#175 := [monotonicity #172]: #174 +#178 := [monotonicity #175]: #177 +#181 := [quant-intro #178]: #180 +#165 := (iff #37 #164) +#162 := (iff #36 #161) +#159 := (= #35 #158) +#156 := (= #34 #155) +#153 := (= #33 #152) +#150 := (= #32 #147) +#144 := (- #141) +#148 := (= #144 #147) +#149 := [rewrite]: #148 +#145 := (= #32 #144) +#142 := (= #31 #141) +#87 := (= #23 #86) +#88 := [rewrite]: #87 +#84 := (= #22 #83) +#85 := [rewrite]: #84 +#143 := [monotonicity #85 #88]: #142 +#146 := [monotonicity #143]: #145 +#151 := [trans #146 #149]: #150 +#80 := (iff #20 #79) +#77 := (iff #19 #76) +#78 := [rewrite]: #77 +#81 := [monotonicity #78]: #80 +#154 := [monotonicity #81 #151]: #153 +#157 := [monotonicity #154]: #156 +#160 := [monotonicity #157]: #159 +#163 := [monotonicity #160]: #162 +#166 := [quant-intro #163]: #165 +#183 := [trans #166 #181]: #182 +#140 := [asserted]: #37 +#184 := [mp #140 #183]: #179 +#291 := [mp~ #184 #275]: #179 +#341 := [mp #291 #340]: #338 +#372 := [mp #341 #371]: #369 +#856 := [mp #372 #855]: #851 +#776 := (not #851) +#661 := (or #776 #505) +#430 := (* -1::int 1::int) +#514 := (mod #430 #430) +#515 := (+ #54 #514) +#516 := (= #515 0::int) +#507 := (mod 1::int 1::int) +#518 := (* -1::int #507) +#519 := (+ #54 #518) +#520 := (= #519 0::int) +#517 := (<= 1::int 0::int) +#521 := (or #517 #517) +#500 := (not #521) +#835 := (>= 1::int 0::int) +#837 := (or #517 #835) +#494 := (not #837) +#624 := (or #494 #500) +#831 := (ite #624 #520 #516) +#506 := (= 1::int 0::int) +#838 := (ite #506 #505 #831) +#839 := (= 1::int #54) +#840 := (ite #506 #839 #838) +#676 := (or #776 #840) +#679 := (iff #676 #661) +#680 := (iff #661 #661) +#681 := [rewrite]: #680 +#772 := (iff #840 #505) +#832 := (= #54 1::int) +#667 := (ite false #832 #505) +#775 := (iff #667 #505) +#677 := [rewrite]: #775 +#668 := (iff #840 #667) +#784 := (iff #838 #505) +#779 := (ite false #505 #505) +#783 := (iff #779 #505) +#781 := [rewrite]: #783 +#780 := (iff #838 #779) +#625 := (iff #831 #505) +#1 := true +#792 := (ite true #505 #505) +#794 := (iff #792 #505) +#623 := [rewrite]: #794 +#793 := (iff #831 #792) +#785 := (iff #516 #505) +#790 := (= #515 #54) +#807 := (+ #54 0::int) +#808 := (= #807 #54) +#805 := [rewrite]: #808 +#788 := (= #515 #807) +#645 := (= #514 0::int) +#801 := (mod -1::int -1::int) +#803 := (= #801 0::int) +#644 := [rewrite]: #803 +#802 := (= #514 #801) +#795 := (= #430 -1::int) +#796 := [rewrite]: #795 +#797 := [monotonicity #796 #796]: #802 +#646 := [trans #797 #644]: #645 +#789 := [monotonicity #646]: #788 +#791 := [trans #789 #805]: #790 +#786 := [monotonicity #791]: #785 +#799 := (iff #520 #505) +#809 := (= #519 #54) +#522 := (= #519 #807) +#528 := (= #518 0::int) +#811 := (* -1::int 0::int) +#526 := (= #811 0::int) +#527 := [rewrite]: #526 +#815 := (= #518 #811) +#810 := (= #507 0::int) +#814 := [rewrite]: #810 +#525 := [monotonicity #814]: #815 +#806 := [trans #525 #527]: #528 +#804 := [monotonicity #806]: #522 +#798 := [trans #804 #805]: #809 +#800 := [monotonicity #798]: #799 +#535 := (iff #624 true) +#477 := (or false true) +#482 := (iff #477 true) +#483 := [rewrite]: #482 +#812 := (iff #624 #477) +#542 := (iff #500 true) +#816 := (not false) +#540 := (iff #816 true) +#541 := [rewrite]: #540 +#817 := (iff #500 #816) +#827 := (iff #521 false) +#826 := (or false false) +#469 := (iff #826 false) +#829 := [rewrite]: #469 +#828 := (iff #521 #826) +#497 := (iff #517 false) +#833 := [rewrite]: #497 +#468 := [monotonicity #833 #833]: #828 +#830 := [trans #468 #829]: #827 +#539 := [monotonicity #830]: #817 +#436 := [trans #539 #541]: #542 +#825 := (iff #494 false) +#821 := (not true) +#824 := (iff #821 false) +#819 := [rewrite]: #824 +#822 := (iff #494 #821) +#484 := (iff #837 true) +#818 := (iff #837 #477) +#493 := (iff #835 true) +#834 := [rewrite]: #493 +#481 := [monotonicity #833 #834]: #818 +#820 := [trans #481 #483]: #484 +#823 := [monotonicity #820]: #822 +#463 := [trans #823 #819]: #825 +#813 := [monotonicity #463 #436]: #812 +#536 := [trans #813 #483]: #535 +#787 := [monotonicity #536 #800 #786]: #793 +#626 := [trans #787 #623]: #625 +#841 := (iff #506 false) +#836 := [rewrite]: #841 +#782 := [monotonicity #836 #626]: #780 +#666 := [trans #782 #781]: #784 +#842 := (iff #839 #832) +#492 := [rewrite]: #842 +#627 := [monotonicity #836 #492 #666]: #668 +#773 := [trans #627 #677]: #772 +#672 := [monotonicity #773]: #679 +#682 := [trans #672 #681]: #679 +#678 := [quant-inst]: #676 +#683 := [mp #678 #682]: #661 +#703 := [unit-resolution #683 #856]: #505 +#699 := [monotonicity #703]: #57 +#58 := (not #57) +#270 := [asserted]: #58 +[unit-resolution #270 #699]: false +unsat +aa365ca33021a3af06f636ef2547aa25906c3855 360 0 #2 := false decl f5 :: (-> int S2) decl f3 :: (-> int int int) @@ -15612,599 +15915,7 @@ #557 := [trans #620 #572]: #272 [unit-resolution #280 #557]: false unsat -121357a49f554c92c48529c5e8845192f6c0a8a5 302 0 -#2 := false -decl f5 :: (-> int S2) -#11 := 0::int -#56 := (f5 0::int) -decl f4 :: (-> int int int) -#53 := 1::int -#54 := (f4 1::int 1::int) -#55 := (f5 #54) -#57 := (= #55 #56) -#505 := (= #54 0::int) -#9 := (:var 0 int) -#8 := (:var 1 int) -#29 := (f4 #8 #9) -#850 := (pattern #29) -#82 := -1::int -#86 := (* -1::int #9) -#83 := (* -1::int #8) -#141 := (mod #83 #86) -#362 := (+ #29 #141) -#363 := (= #362 0::int) -#30 := (mod #8 #9) -#359 := (* -1::int #30) -#360 := (+ #29 #359) -#361 := (= #360 0::int) -#108 := (<= #9 0::int) -#104 := (<= #8 0::int) -#301 := (or #104 #108) -#302 := (not #301) -#115 := (>= #8 0::int) -#284 := (or #108 #115) -#285 := (not #284) -#308 := (or #285 #302) -#364 := (ite #308 #361 #363) -#358 := (= #29 0::int) -#12 := (= #8 0::int) -#365 := (ite #12 #358 #364) -#357 := (= #8 #29) -#13 := (= #9 0::int) -#366 := (ite #13 #357 #365) -#851 := (forall (vars (?v0 int) (?v1 int)) (:pat #850) #366) -#369 := (forall (vars (?v0 int) (?v1 int)) #366) -#854 := (iff #369 #851) -#852 := (iff #366 #366) -#853 := [refl]: #852 -#855 := [quant-intro #853]: #854 -#147 := (* -1::int #141) -#326 := (ite #308 #30 #147) -#329 := (ite #12 0::int #326) -#332 := (ite #13 #8 #329) -#335 := (= #29 #332) -#338 := (forall (vars (?v0 int) (?v1 int)) #335) -#370 := (iff #338 #369) -#367 := (iff #335 #366) -#368 := [rewrite]: #367 -#371 := [quant-intro #368]: #370 -#116 := (not #115) -#109 := (not #108) -#119 := (and #109 #116) -#105 := (not #104) -#112 := (and #105 #109) -#122 := (or #112 #119) -#167 := (ite #122 #30 #147) -#170 := (ite #12 0::int #167) -#173 := (ite #13 #8 #170) -#176 := (= #29 #173) -#179 := (forall (vars (?v0 int) (?v1 int)) #176) -#339 := (iff #179 #338) -#336 := (iff #176 #335) -#333 := (= #173 #332) -#330 := (= #170 #329) -#327 := (= #167 #326) -#311 := (iff #122 #308) -#305 := (or #302 #285) -#309 := (iff #305 #308) -#310 := [rewrite]: #309 -#306 := (iff #122 #305) -#303 := (iff #119 #285) -#304 := [rewrite]: #303 -#282 := (iff #112 #302) -#283 := [rewrite]: #282 -#307 := [monotonicity #283 #304]: #306 -#312 := [trans #307 #310]: #311 -#328 := [monotonicity #312]: #327 -#331 := [monotonicity #328]: #330 -#334 := [monotonicity #331]: #333 -#337 := [monotonicity #334]: #336 -#340 := [quant-intro #337]: #339 -#274 := (~ #179 #179) -#271 := (~ #176 #176) -#290 := [refl]: #271 -#275 := [nnf-pos #290]: #274 -#23 := (- #9) -#22 := (- #8) -#31 := (mod #22 #23) -#32 := (- #31) -#16 := (< 0::int #9) -#18 := (< #8 0::int) -#19 := (and #18 #16) -#15 := (< 0::int #8) -#17 := (and #15 #16) -#20 := (or #17 #19) -#33 := (ite #20 #30 #32) -#34 := (ite #12 0::int #33) -#35 := (ite #13 #8 #34) -#36 := (= #29 #35) -#37 := (forall (vars (?v0 int) (?v1 int)) #36) -#182 := (iff #37 #179) -#76 := (and #16 #18) -#79 := (or #17 #76) -#152 := (ite #79 #30 #147) -#155 := (ite #12 0::int #152) -#158 := (ite #13 #8 #155) -#161 := (= #29 #158) -#164 := (forall (vars (?v0 int) (?v1 int)) #161) -#180 := (iff #164 #179) -#177 := (iff #161 #176) -#174 := (= #158 #173) -#171 := (= #155 #170) -#168 := (= #152 #167) -#123 := (iff #79 #122) -#120 := (iff #76 #119) -#117 := (iff #18 #116) -#118 := [rewrite]: #117 -#110 := (iff #16 #109) -#111 := [rewrite]: #110 -#121 := [monotonicity #111 #118]: #120 -#113 := (iff #17 #112) -#106 := (iff #15 #105) -#107 := [rewrite]: #106 -#114 := [monotonicity #107 #111]: #113 -#124 := [monotonicity #114 #121]: #123 -#169 := [monotonicity #124]: #168 -#172 := [monotonicity #169]: #171 -#175 := [monotonicity #172]: #174 -#178 := [monotonicity #175]: #177 -#181 := [quant-intro #178]: #180 -#165 := (iff #37 #164) -#162 := (iff #36 #161) -#159 := (= #35 #158) -#156 := (= #34 #155) -#153 := (= #33 #152) -#150 := (= #32 #147) -#144 := (- #141) -#148 := (= #144 #147) -#149 := [rewrite]: #148 -#145 := (= #32 #144) -#142 := (= #31 #141) -#87 := (= #23 #86) -#88 := [rewrite]: #87 -#84 := (= #22 #83) -#85 := [rewrite]: #84 -#143 := [monotonicity #85 #88]: #142 -#146 := [monotonicity #143]: #145 -#151 := [trans #146 #149]: #150 -#80 := (iff #20 #79) -#77 := (iff #19 #76) -#78 := [rewrite]: #77 -#81 := [monotonicity #78]: #80 -#154 := [monotonicity #81 #151]: #153 -#157 := [monotonicity #154]: #156 -#160 := [monotonicity #157]: #159 -#163 := [monotonicity #160]: #162 -#166 := [quant-intro #163]: #165 -#183 := [trans #166 #181]: #182 -#140 := [asserted]: #37 -#184 := [mp #140 #183]: #179 -#291 := [mp~ #184 #275]: #179 -#341 := [mp #291 #340]: #338 -#372 := [mp #341 #371]: #369 -#856 := [mp #372 #855]: #851 -#776 := (not #851) -#661 := (or #776 #505) -#430 := (* -1::int 1::int) -#514 := (mod #430 #430) -#515 := (+ #54 #514) -#516 := (= #515 0::int) -#507 := (mod 1::int 1::int) -#518 := (* -1::int #507) -#519 := (+ #54 #518) -#520 := (= #519 0::int) -#517 := (<= 1::int 0::int) -#521 := (or #517 #517) -#500 := (not #521) -#835 := (>= 1::int 0::int) -#837 := (or #517 #835) -#494 := (not #837) -#624 := (or #494 #500) -#831 := (ite #624 #520 #516) -#506 := (= 1::int 0::int) -#838 := (ite #506 #505 #831) -#839 := (= 1::int #54) -#840 := (ite #506 #839 #838) -#676 := (or #776 #840) -#679 := (iff #676 #661) -#680 := (iff #661 #661) -#681 := [rewrite]: #680 -#772 := (iff #840 #505) -#832 := (= #54 1::int) -#667 := (ite false #832 #505) -#775 := (iff #667 #505) -#677 := [rewrite]: #775 -#668 := (iff #840 #667) -#784 := (iff #838 #505) -#779 := (ite false #505 #505) -#783 := (iff #779 #505) -#781 := [rewrite]: #783 -#780 := (iff #838 #779) -#625 := (iff #831 #505) -#1 := true -#792 := (ite true #505 #505) -#794 := (iff #792 #505) -#623 := [rewrite]: #794 -#793 := (iff #831 #792) -#785 := (iff #516 #505) -#790 := (= #515 #54) -#807 := (+ #54 0::int) -#808 := (= #807 #54) -#805 := [rewrite]: #808 -#788 := (= #515 #807) -#645 := (= #514 0::int) -#801 := (mod -1::int -1::int) -#803 := (= #801 0::int) -#644 := [rewrite]: #803 -#802 := (= #514 #801) -#795 := (= #430 -1::int) -#796 := [rewrite]: #795 -#797 := [monotonicity #796 #796]: #802 -#646 := [trans #797 #644]: #645 -#789 := [monotonicity #646]: #788 -#791 := [trans #789 #805]: #790 -#786 := [monotonicity #791]: #785 -#799 := (iff #520 #505) -#809 := (= #519 #54) -#522 := (= #519 #807) -#528 := (= #518 0::int) -#811 := (* -1::int 0::int) -#526 := (= #811 0::int) -#527 := [rewrite]: #526 -#815 := (= #518 #811) -#810 := (= #507 0::int) -#814 := [rewrite]: #810 -#525 := [monotonicity #814]: #815 -#806 := [trans #525 #527]: #528 -#804 := [monotonicity #806]: #522 -#798 := [trans #804 #805]: #809 -#800 := [monotonicity #798]: #799 -#535 := (iff #624 true) -#477 := (or false true) -#482 := (iff #477 true) -#483 := [rewrite]: #482 -#812 := (iff #624 #477) -#542 := (iff #500 true) -#816 := (not false) -#540 := (iff #816 true) -#541 := [rewrite]: #540 -#817 := (iff #500 #816) -#827 := (iff #521 false) -#826 := (or false false) -#469 := (iff #826 false) -#829 := [rewrite]: #469 -#828 := (iff #521 #826) -#497 := (iff #517 false) -#833 := [rewrite]: #497 -#468 := [monotonicity #833 #833]: #828 -#830 := [trans #468 #829]: #827 -#539 := [monotonicity #830]: #817 -#436 := [trans #539 #541]: #542 -#825 := (iff #494 false) -#821 := (not true) -#824 := (iff #821 false) -#819 := [rewrite]: #824 -#822 := (iff #494 #821) -#484 := (iff #837 true) -#818 := (iff #837 #477) -#493 := (iff #835 true) -#834 := [rewrite]: #493 -#481 := [monotonicity #833 #834]: #818 -#820 := [trans #481 #483]: #484 -#823 := [monotonicity #820]: #822 -#463 := [trans #823 #819]: #825 -#813 := [monotonicity #463 #436]: #812 -#536 := [trans #813 #483]: #535 -#787 := [monotonicity #536 #800 #786]: #793 -#626 := [trans #787 #623]: #625 -#841 := (iff #506 false) -#836 := [rewrite]: #841 -#782 := [monotonicity #836 #626]: #780 -#666 := [trans #782 #781]: #784 -#842 := (iff #839 #832) -#492 := [rewrite]: #842 -#627 := [monotonicity #836 #492 #666]: #668 -#773 := [trans #627 #677]: #772 -#672 := [monotonicity #773]: #679 -#682 := [trans #672 #681]: #679 -#678 := [quant-inst]: #676 -#683 := [mp #678 #682]: #661 -#703 := [unit-resolution #683 #856]: #505 -#699 := [monotonicity #703]: #57 -#58 := (not #57) -#270 := [asserted]: #58 -[unit-resolution #270 #699]: false -unsat -f2f039ccfb9f8bb6046ed67b2d5f9e4965b93c1c 288 0 -#2 := false -decl f5 :: (-> int S2) -#11 := 0::int -#56 := (f5 0::int) -decl f3 :: (-> int int int) -#53 := 3::int -#54 := (f3 0::int 3::int) -#55 := (f5 #54) -#57 := (= #55 #56) -#839 := (= #54 0::int) -#9 := (:var 0 int) -#8 := (:var 1 int) -#10 := (f3 #8 #9) -#844 := (pattern #10) -#82 := -1::int -#86 := (* -1::int #9) -#83 := (* -1::int #8) -#89 := (div #83 #86) -#346 := (* -1::int #89) -#347 := (+ #10 #346) -#348 := (= #347 0::int) -#21 := (div #8 #9) -#343 := (* -1::int #21) -#344 := (+ #10 #343) -#345 := (= #344 0::int) -#108 := (<= #9 0::int) -#104 := (<= #8 0::int) -#301 := (or #104 #108) -#302 := (not #301) -#115 := (>= #8 0::int) -#284 := (or #108 #115) -#285 := (not #284) -#308 := (or #285 #302) -#349 := (ite #308 #345 #348) -#342 := (= #10 0::int) -#13 := (= #9 0::int) -#12 := (= #8 0::int) -#14 := (or #12 #13) -#350 := (ite #14 #342 #349) -#845 := (forall (vars (?v0 int) (?v1 int)) (:pat #844) #350) -#353 := (forall (vars (?v0 int) (?v1 int)) #350) -#848 := (iff #353 #845) -#846 := (iff #350 #350) -#847 := [refl]: #846 -#849 := [quant-intro #847]: #848 -#313 := (ite #308 #21 #89) -#316 := (ite #14 0::int #313) -#319 := (= #10 #316) -#322 := (forall (vars (?v0 int) (?v1 int)) #319) -#354 := (iff #322 #353) -#351 := (iff #319 #350) -#352 := [rewrite]: #351 -#355 := [quant-intro #352]: #354 -#116 := (not #115) -#109 := (not #108) -#119 := (and #109 #116) -#105 := (not #104) -#112 := (and #105 #109) -#122 := (or #112 #119) -#125 := (ite #122 #21 #89) -#128 := (ite #14 0::int #125) -#131 := (= #10 #128) -#134 := (forall (vars (?v0 int) (?v1 int)) #131) -#323 := (iff #134 #322) -#320 := (iff #131 #319) -#317 := (= #128 #316) -#314 := (= #125 #313) -#311 := (iff #122 #308) -#305 := (or #302 #285) -#309 := (iff #305 #308) -#310 := [rewrite]: #309 -#306 := (iff #122 #305) -#303 := (iff #119 #285) -#304 := [rewrite]: #303 -#282 := (iff #112 #302) -#283 := [rewrite]: #282 -#307 := [monotonicity #283 #304]: #306 -#312 := [trans #307 #310]: #311 -#315 := [monotonicity #312]: #314 -#318 := [monotonicity #315]: #317 -#321 := [monotonicity #318]: #320 -#324 := [quant-intro #321]: #323 -#288 := (~ #134 #134) -#286 := (~ #131 #131) -#287 := [refl]: #286 -#289 := [nnf-pos #287]: #288 -#23 := (- #9) -#22 := (- #8) -#24 := (div #22 #23) -#16 := (< 0::int #9) -#18 := (< #8 0::int) -#19 := (and #18 #16) -#15 := (< 0::int #8) -#17 := (and #15 #16) -#20 := (or #17 #19) -#25 := (ite #20 #21 #24) -#26 := (ite #14 0::int #25) -#27 := (= #10 #26) -#28 := (forall (vars (?v0 int) (?v1 int)) #27) -#137 := (iff #28 #134) -#76 := (and #16 #18) -#79 := (or #17 #76) -#92 := (ite #79 #21 #89) -#95 := (ite #14 0::int #92) -#98 := (= #10 #95) -#101 := (forall (vars (?v0 int) (?v1 int)) #98) -#135 := (iff #101 #134) -#132 := (iff #98 #131) -#129 := (= #95 #128) -#126 := (= #92 #125) -#123 := (iff #79 #122) -#120 := (iff #76 #119) -#117 := (iff #18 #116) -#118 := [rewrite]: #117 -#110 := (iff #16 #109) -#111 := [rewrite]: #110 -#121 := [monotonicity #111 #118]: #120 -#113 := (iff #17 #112) -#106 := (iff #15 #105) -#107 := [rewrite]: #106 -#114 := [monotonicity #107 #111]: #113 -#124 := [monotonicity #114 #121]: #123 -#127 := [monotonicity #124]: #126 -#130 := [monotonicity #127]: #129 -#133 := [monotonicity #130]: #132 -#136 := [quant-intro #133]: #135 -#102 := (iff #28 #101) -#99 := (iff #27 #98) -#96 := (= #26 #95) -#93 := (= #25 #92) -#90 := (= #24 #89) -#87 := (= #23 #86) -#88 := [rewrite]: #87 -#84 := (= #22 #83) -#85 := [rewrite]: #84 -#91 := [monotonicity #85 #88]: #90 -#80 := (iff #20 #79) -#77 := (iff #19 #76) -#78 := [rewrite]: #77 -#81 := [monotonicity #78]: #80 -#94 := [monotonicity #81 #91]: #93 -#97 := [monotonicity #94]: #96 -#100 := [monotonicity #97]: #99 -#103 := [quant-intro #100]: #102 -#138 := [trans #103 #136]: #137 -#75 := [asserted]: #28 -#139 := [mp #75 #138]: #134 -#273 := [mp~ #139 #289]: #134 -#325 := [mp #273 #324]: #322 -#356 := [mp #325 #355]: #353 -#850 := [mp #356 #849]: #845 -#680 := (not #845) -#673 := (or #680 #839) -#430 := (* -1::int 3::int) -#515 := (* -1::int 0::int) -#516 := (div #515 #430) -#517 := (* -1::int #516) -#508 := (+ #54 #517) -#519 := (= #508 0::int) -#520 := (div 0::int 3::int) -#448 := (* -1::int #520) -#521 := (+ #54 #448) -#518 := (= #521 0::int) -#522 := (<= 3::int 0::int) -#501 := (<= 0::int 0::int) -#836 := (or #501 #522) -#838 := (not #836) -#495 := (>= 0::int 0::int) -#625 := (or #522 #495) -#832 := (not #625) -#506 := (or #832 #838) -#507 := (ite #506 #518 #519) -#840 := (= 3::int 0::int) -#841 := (= 0::int 0::int) -#842 := (or #841 #840) -#837 := (ite #842 #839 #507) -#681 := (or #680 #837) -#683 := (iff #681 #673) -#685 := (iff #673 #673) -#778 := [rewrite]: #685 -#677 := (iff #837 #839) -#1 := true -#678 := (ite true #839 #839) -#777 := (iff #678 #839) -#662 := [rewrite]: #777 -#773 := (iff #837 #678) -#628 := (iff #507 #839) -#782 := (ite false #839 #839) -#668 := (iff #782 #839) -#669 := [rewrite]: #668 -#785 := (iff #507 #782) -#783 := (iff #519 #839) -#780 := (= #508 #54) -#799 := (+ #54 0::int) -#796 := (= #799 #54) -#797 := [rewrite]: #796 -#626 := (= #508 #799) -#795 := (= #517 0::int) -#805 := (= #515 0::int) -#809 := [rewrite]: #805 -#794 := (= #517 #515) -#787 := (= #516 0::int) -#645 := -3::int -#789 := (div 0::int -3::int) -#792 := (= #789 0::int) -#786 := [rewrite]: #792 -#790 := (= #516 #789) -#646 := (= #430 -3::int) -#647 := [rewrite]: #646 -#791 := [monotonicity #809 #647]: #790 -#793 := [trans #791 #786]: #787 -#788 := [monotonicity #793]: #794 -#624 := [trans #788 #809]: #795 -#627 := [monotonicity #624]: #626 -#781 := [trans #627 #797]: #780 -#784 := [monotonicity #781]: #783 -#798 := (iff #518 #839) -#802 := (= #521 #54) -#800 := (= #521 #799) -#806 := (= #448 0::int) -#808 := (= #448 #515) -#529 := (= #520 0::int) -#807 := [rewrite]: #529 -#523 := [monotonicity #807]: #808 -#810 := [trans #523 #809]: #806 -#801 := [monotonicity #810]: #800 -#803 := [trans #801 #797]: #802 -#804 := [monotonicity #803]: #798 -#527 := (iff #506 false) -#811 := (or false false) -#816 := (iff #811 false) -#526 := [rewrite]: #816 -#815 := (iff #506 #811) -#536 := (iff #838 false) -#829 := (not true) -#830 := (iff #829 false) -#828 := [rewrite]: #830 -#813 := (iff #838 #829) -#543 := (iff #836 true) -#834 := (or true false) -#478 := (iff #834 true) -#819 := [rewrite]: #478 -#541 := (iff #836 #834) -#484 := (iff #522 false) -#485 := [rewrite]: #484 -#818 := (iff #501 true) -#540 := [rewrite]: #818 -#542 := [monotonicity #540 #485]: #541 -#436 := [trans #542 #819]: #543 -#814 := [monotonicity #436]: #813 -#537 := [trans #814 #828]: #536 -#831 := (iff #832 false) -#469 := (iff #832 #829) -#464 := (iff #625 true) -#823 := (or false true) -#820 := (iff #823 true) -#826 := [rewrite]: #820 -#824 := (iff #625 #823) -#821 := (iff #495 true) -#822 := [rewrite]: #821 -#825 := [monotonicity #485 #822]: #824 -#827 := [trans #825 #826]: #464 -#470 := [monotonicity #827]: #469 -#817 := [trans #470 #828]: #831 -#812 := [monotonicity #817 #537]: #815 -#528 := [trans #812 #526]: #527 -#667 := [monotonicity #528 #804 #784]: #785 -#776 := [trans #667 #669]: #628 -#482 := (iff #842 true) -#494 := (iff #842 #834) -#493 := (iff #840 false) -#498 := [rewrite]: #493 -#843 := (iff #841 true) -#833 := [rewrite]: #843 -#835 := [monotonicity #833 #498]: #494 -#483 := [trans #835 #819]: #482 -#774 := [monotonicity #483 #776]: #773 -#679 := [trans #774 #662]: #677 -#684 := [monotonicity #679]: #683 -#775 := [trans #684 #778]: #683 -#682 := [quant-inst]: #681 -#779 := [mp #682 #775]: #673 -#691 := [unit-resolution #779 #850]: #839 -#692 := [monotonicity #691]: #57 -#58 := (not #57) -#270 := [asserted]: #58 -[unit-resolution #270 #692]: false -unsat -2c035401970833955895c9fd35464fade49dcbf1 313 0 +79a0fde07c4517bfcd8cf389acc12b7fcaddd64c 313 0 #2 := false decl f5 :: (-> int S2) #11 := 0::int @@ -16518,7 +16229,296 @@ #271 := [asserted]: #59 [unit-resolution #271 #702]: false unsat -ed1dcbda8b48a8192bb34e0311b0082775d33ed7 302 0 +b6098bbff5fba6e8ac8e634e284360adde41d954 288 0 +#2 := false +decl f5 :: (-> int S2) +#11 := 0::int +#56 := (f5 0::int) +decl f3 :: (-> int int int) +#53 := 3::int +#54 := (f3 0::int 3::int) +#55 := (f5 #54) +#57 := (= #55 #56) +#839 := (= #54 0::int) +#9 := (:var 0 int) +#8 := (:var 1 int) +#10 := (f3 #8 #9) +#844 := (pattern #10) +#82 := -1::int +#86 := (* -1::int #9) +#83 := (* -1::int #8) +#89 := (div #83 #86) +#346 := (* -1::int #89) +#347 := (+ #10 #346) +#348 := (= #347 0::int) +#21 := (div #8 #9) +#343 := (* -1::int #21) +#344 := (+ #10 #343) +#345 := (= #344 0::int) +#108 := (<= #9 0::int) +#104 := (<= #8 0::int) +#301 := (or #104 #108) +#302 := (not #301) +#115 := (>= #8 0::int) +#284 := (or #108 #115) +#285 := (not #284) +#308 := (or #285 #302) +#349 := (ite #308 #345 #348) +#342 := (= #10 0::int) +#13 := (= #9 0::int) +#12 := (= #8 0::int) +#14 := (or #12 #13) +#350 := (ite #14 #342 #349) +#845 := (forall (vars (?v0 int) (?v1 int)) (:pat #844) #350) +#353 := (forall (vars (?v0 int) (?v1 int)) #350) +#848 := (iff #353 #845) +#846 := (iff #350 #350) +#847 := [refl]: #846 +#849 := [quant-intro #847]: #848 +#313 := (ite #308 #21 #89) +#316 := (ite #14 0::int #313) +#319 := (= #10 #316) +#322 := (forall (vars (?v0 int) (?v1 int)) #319) +#354 := (iff #322 #353) +#351 := (iff #319 #350) +#352 := [rewrite]: #351 +#355 := [quant-intro #352]: #354 +#116 := (not #115) +#109 := (not #108) +#119 := (and #109 #116) +#105 := (not #104) +#112 := (and #105 #109) +#122 := (or #112 #119) +#125 := (ite #122 #21 #89) +#128 := (ite #14 0::int #125) +#131 := (= #10 #128) +#134 := (forall (vars (?v0 int) (?v1 int)) #131) +#323 := (iff #134 #322) +#320 := (iff #131 #319) +#317 := (= #128 #316) +#314 := (= #125 #313) +#311 := (iff #122 #308) +#305 := (or #302 #285) +#309 := (iff #305 #308) +#310 := [rewrite]: #309 +#306 := (iff #122 #305) +#303 := (iff #119 #285) +#304 := [rewrite]: #303 +#282 := (iff #112 #302) +#283 := [rewrite]: #282 +#307 := [monotonicity #283 #304]: #306 +#312 := [trans #307 #310]: #311 +#315 := [monotonicity #312]: #314 +#318 := [monotonicity #315]: #317 +#321 := [monotonicity #318]: #320 +#324 := [quant-intro #321]: #323 +#288 := (~ #134 #134) +#286 := (~ #131 #131) +#287 := [refl]: #286 +#289 := [nnf-pos #287]: #288 +#23 := (- #9) +#22 := (- #8) +#24 := (div #22 #23) +#16 := (< 0::int #9) +#18 := (< #8 0::int) +#19 := (and #18 #16) +#15 := (< 0::int #8) +#17 := (and #15 #16) +#20 := (or #17 #19) +#25 := (ite #20 #21 #24) +#26 := (ite #14 0::int #25) +#27 := (= #10 #26) +#28 := (forall (vars (?v0 int) (?v1 int)) #27) +#137 := (iff #28 #134) +#76 := (and #16 #18) +#79 := (or #17 #76) +#92 := (ite #79 #21 #89) +#95 := (ite #14 0::int #92) +#98 := (= #10 #95) +#101 := (forall (vars (?v0 int) (?v1 int)) #98) +#135 := (iff #101 #134) +#132 := (iff #98 #131) +#129 := (= #95 #128) +#126 := (= #92 #125) +#123 := (iff #79 #122) +#120 := (iff #76 #119) +#117 := (iff #18 #116) +#118 := [rewrite]: #117 +#110 := (iff #16 #109) +#111 := [rewrite]: #110 +#121 := [monotonicity #111 #118]: #120 +#113 := (iff #17 #112) +#106 := (iff #15 #105) +#107 := [rewrite]: #106 +#114 := [monotonicity #107 #111]: #113 +#124 := [monotonicity #114 #121]: #123 +#127 := [monotonicity #124]: #126 +#130 := [monotonicity #127]: #129 +#133 := [monotonicity #130]: #132 +#136 := [quant-intro #133]: #135 +#102 := (iff #28 #101) +#99 := (iff #27 #98) +#96 := (= #26 #95) +#93 := (= #25 #92) +#90 := (= #24 #89) +#87 := (= #23 #86) +#88 := [rewrite]: #87 +#84 := (= #22 #83) +#85 := [rewrite]: #84 +#91 := [monotonicity #85 #88]: #90 +#80 := (iff #20 #79) +#77 := (iff #19 #76) +#78 := [rewrite]: #77 +#81 := [monotonicity #78]: #80 +#94 := [monotonicity #81 #91]: #93 +#97 := [monotonicity #94]: #96 +#100 := [monotonicity #97]: #99 +#103 := [quant-intro #100]: #102 +#138 := [trans #103 #136]: #137 +#75 := [asserted]: #28 +#139 := [mp #75 #138]: #134 +#273 := [mp~ #139 #289]: #134 +#325 := [mp #273 #324]: #322 +#356 := [mp #325 #355]: #353 +#850 := [mp #356 #849]: #845 +#680 := (not #845) +#673 := (or #680 #839) +#430 := (* -1::int 3::int) +#515 := (* -1::int 0::int) +#516 := (div #515 #430) +#517 := (* -1::int #516) +#508 := (+ #54 #517) +#519 := (= #508 0::int) +#520 := (div 0::int 3::int) +#448 := (* -1::int #520) +#521 := (+ #54 #448) +#518 := (= #521 0::int) +#522 := (<= 3::int 0::int) +#501 := (<= 0::int 0::int) +#836 := (or #501 #522) +#838 := (not #836) +#495 := (>= 0::int 0::int) +#625 := (or #522 #495) +#832 := (not #625) +#506 := (or #832 #838) +#507 := (ite #506 #518 #519) +#840 := (= 3::int 0::int) +#841 := (= 0::int 0::int) +#842 := (or #841 #840) +#837 := (ite #842 #839 #507) +#681 := (or #680 #837) +#683 := (iff #681 #673) +#685 := (iff #673 #673) +#778 := [rewrite]: #685 +#677 := (iff #837 #839) +#1 := true +#678 := (ite true #839 #839) +#777 := (iff #678 #839) +#662 := [rewrite]: #777 +#773 := (iff #837 #678) +#628 := (iff #507 #839) +#782 := (ite false #839 #839) +#668 := (iff #782 #839) +#669 := [rewrite]: #668 +#785 := (iff #507 #782) +#783 := (iff #519 #839) +#780 := (= #508 #54) +#799 := (+ #54 0::int) +#796 := (= #799 #54) +#797 := [rewrite]: #796 +#626 := (= #508 #799) +#795 := (= #517 0::int) +#805 := (= #515 0::int) +#809 := [rewrite]: #805 +#794 := (= #517 #515) +#787 := (= #516 0::int) +#645 := -3::int +#789 := (div 0::int -3::int) +#792 := (= #789 0::int) +#786 := [rewrite]: #792 +#790 := (= #516 #789) +#646 := (= #430 -3::int) +#647 := [rewrite]: #646 +#791 := [monotonicity #809 #647]: #790 +#793 := [trans #791 #786]: #787 +#788 := [monotonicity #793]: #794 +#624 := [trans #788 #809]: #795 +#627 := [monotonicity #624]: #626 +#781 := [trans #627 #797]: #780 +#784 := [monotonicity #781]: #783 +#798 := (iff #518 #839) +#802 := (= #521 #54) +#800 := (= #521 #799) +#806 := (= #448 0::int) +#808 := (= #448 #515) +#529 := (= #520 0::int) +#807 := [rewrite]: #529 +#523 := [monotonicity #807]: #808 +#810 := [trans #523 #809]: #806 +#801 := [monotonicity #810]: #800 +#803 := [trans #801 #797]: #802 +#804 := [monotonicity #803]: #798 +#527 := (iff #506 false) +#811 := (or false false) +#816 := (iff #811 false) +#526 := [rewrite]: #816 +#815 := (iff #506 #811) +#536 := (iff #838 false) +#829 := (not true) +#830 := (iff #829 false) +#828 := [rewrite]: #830 +#813 := (iff #838 #829) +#543 := (iff #836 true) +#834 := (or true false) +#478 := (iff #834 true) +#819 := [rewrite]: #478 +#541 := (iff #836 #834) +#484 := (iff #522 false) +#485 := [rewrite]: #484 +#818 := (iff #501 true) +#540 := [rewrite]: #818 +#542 := [monotonicity #540 #485]: #541 +#436 := [trans #542 #819]: #543 +#814 := [monotonicity #436]: #813 +#537 := [trans #814 #828]: #536 +#831 := (iff #832 false) +#469 := (iff #832 #829) +#464 := (iff #625 true) +#823 := (or false true) +#820 := (iff #823 true) +#826 := [rewrite]: #820 +#824 := (iff #625 #823) +#821 := (iff #495 true) +#822 := [rewrite]: #821 +#825 := [monotonicity #485 #822]: #824 +#827 := [trans #825 #826]: #464 +#470 := [monotonicity #827]: #469 +#817 := [trans #470 #828]: #831 +#812 := [monotonicity #817 #537]: #815 +#528 := [trans #812 #526]: #527 +#667 := [monotonicity #528 #804 #784]: #785 +#776 := [trans #667 #669]: #628 +#482 := (iff #842 true) +#494 := (iff #842 #834) +#493 := (iff #840 false) +#498 := [rewrite]: #493 +#843 := (iff #841 true) +#833 := [rewrite]: #843 +#835 := [monotonicity #833 #498]: #494 +#483 := [trans #835 #819]: #482 +#774 := [monotonicity #483 #776]: #773 +#679 := [trans #774 #662]: #677 +#684 := [monotonicity #679]: #683 +#775 := [trans #684 #778]: #683 +#682 := [quant-inst]: #681 +#779 := [mp #682 #775]: #673 +#691 := [unit-resolution #779 #850]: #839 +#692 := [monotonicity #691]: #57 +#58 := (not #57) +#270 := [asserted]: #58 +[unit-resolution #270 #692]: false +unsat +86ae6406add6790c99d1c1c3b3a6bf3c60c7e019 302 0 #2 := false decl f5 :: (-> int S2) #11 := 0::int @@ -16821,7 +16821,7 @@ #271 := [asserted]: #59 [unit-resolution #271 #702]: false unsat -80ae46a7e9c57ab25c6d7a036d7583b3c508d2eb 447 0 +0aa64721f85c4c9c0df00c84259b25141ea1f07e 447 0 #2 := false #11 := 0::int decl f6 :: (-> S2 int) @@ -17269,7 +17269,7 @@ #639 := [th-lemma]: #638 [unit-resolution #639 #637 #636 #660]: false unsat -8f1427496ff61632aac173e792df93e6d2f8fec2 292 0 +a2a1b7b5735fca4ed872e71176348b8f63dcb65b 292 0 #2 := false decl f5 :: (-> int S2) #56 := 1::int @@ -17562,7 +17562,313 @@ #271 := [asserted]: #59 [unit-resolution #271 #701]: false unsat -d3447cf6898d788767aea97d325e514adc5f9e24 538 0 +5c15f7e076aa5690517f22531eb4e4a8a733ed8e 305 0 +#2 := false +decl f5 :: (-> int S2) +#11 := 0::int +#56 := (f5 0::int) +decl f4 :: (-> int int int) +#53 := 3::int +#54 := (f4 0::int 3::int) +#55 := (f5 #54) +#57 := (= #55 #56) +#507 := (= #54 0::int) +#9 := (:var 0 int) +#8 := (:var 1 int) +#29 := (f4 #8 #9) +#851 := (pattern #29) +#82 := -1::int +#86 := (* -1::int #9) +#83 := (* -1::int #8) +#141 := (mod #83 #86) +#362 := (+ #29 #141) +#363 := (= #362 0::int) +#30 := (mod #8 #9) +#359 := (* -1::int #30) +#360 := (+ #29 #359) +#361 := (= #360 0::int) +#108 := (<= #9 0::int) +#104 := (<= #8 0::int) +#301 := (or #104 #108) +#302 := (not #301) +#115 := (>= #8 0::int) +#284 := (or #108 #115) +#285 := (not #284) +#308 := (or #285 #302) +#364 := (ite #308 #361 #363) +#358 := (= #29 0::int) +#12 := (= #8 0::int) +#365 := (ite #12 #358 #364) +#357 := (= #8 #29) +#13 := (= #9 0::int) +#366 := (ite #13 #357 #365) +#852 := (forall (vars (?v0 int) (?v1 int)) (:pat #851) #366) +#369 := (forall (vars (?v0 int) (?v1 int)) #366) +#855 := (iff #369 #852) +#853 := (iff #366 #366) +#854 := [refl]: #853 +#856 := [quant-intro #854]: #855 +#147 := (* -1::int #141) +#326 := (ite #308 #30 #147) +#329 := (ite #12 0::int #326) +#332 := (ite #13 #8 #329) +#335 := (= #29 #332) +#338 := (forall (vars (?v0 int) (?v1 int)) #335) +#370 := (iff #338 #369) +#367 := (iff #335 #366) +#368 := [rewrite]: #367 +#371 := [quant-intro #368]: #370 +#116 := (not #115) +#109 := (not #108) +#119 := (and #109 #116) +#105 := (not #104) +#112 := (and #105 #109) +#122 := (or #112 #119) +#167 := (ite #122 #30 #147) +#170 := (ite #12 0::int #167) +#173 := (ite #13 #8 #170) +#176 := (= #29 #173) +#179 := (forall (vars (?v0 int) (?v1 int)) #176) +#339 := (iff #179 #338) +#336 := (iff #176 #335) +#333 := (= #173 #332) +#330 := (= #170 #329) +#327 := (= #167 #326) +#311 := (iff #122 #308) +#305 := (or #302 #285) +#309 := (iff #305 #308) +#310 := [rewrite]: #309 +#306 := (iff #122 #305) +#303 := (iff #119 #285) +#304 := [rewrite]: #303 +#282 := (iff #112 #302) +#283 := [rewrite]: #282 +#307 := [monotonicity #283 #304]: #306 +#312 := [trans #307 #310]: #311 +#328 := [monotonicity #312]: #327 +#331 := [monotonicity #328]: #330 +#334 := [monotonicity #331]: #333 +#337 := [monotonicity #334]: #336 +#340 := [quant-intro #337]: #339 +#274 := (~ #179 #179) +#271 := (~ #176 #176) +#290 := [refl]: #271 +#275 := [nnf-pos #290]: #274 +#23 := (- #9) +#22 := (- #8) +#31 := (mod #22 #23) +#32 := (- #31) +#16 := (< 0::int #9) +#18 := (< #8 0::int) +#19 := (and #18 #16) +#15 := (< 0::int #8) +#17 := (and #15 #16) +#20 := (or #17 #19) +#33 := (ite #20 #30 #32) +#34 := (ite #12 0::int #33) +#35 := (ite #13 #8 #34) +#36 := (= #29 #35) +#37 := (forall (vars (?v0 int) (?v1 int)) #36) +#182 := (iff #37 #179) +#76 := (and #16 #18) +#79 := (or #17 #76) +#152 := (ite #79 #30 #147) +#155 := (ite #12 0::int #152) +#158 := (ite #13 #8 #155) +#161 := (= #29 #158) +#164 := (forall (vars (?v0 int) (?v1 int)) #161) +#180 := (iff #164 #179) +#177 := (iff #161 #176) +#174 := (= #158 #173) +#171 := (= #155 #170) +#168 := (= #152 #167) +#123 := (iff #79 #122) +#120 := (iff #76 #119) +#117 := (iff #18 #116) +#118 := [rewrite]: #117 +#110 := (iff #16 #109) +#111 := [rewrite]: #110 +#121 := [monotonicity #111 #118]: #120 +#113 := (iff #17 #112) +#106 := (iff #15 #105) +#107 := [rewrite]: #106 +#114 := [monotonicity #107 #111]: #113 +#124 := [monotonicity #114 #121]: #123 +#169 := [monotonicity #124]: #168 +#172 := [monotonicity #169]: #171 +#175 := [monotonicity #172]: #174 +#178 := [monotonicity #175]: #177 +#181 := [quant-intro #178]: #180 +#165 := (iff #37 #164) +#162 := (iff #36 #161) +#159 := (= #35 #158) +#156 := (= #34 #155) +#153 := (= #33 #152) +#150 := (= #32 #147) +#144 := (- #141) +#148 := (= #144 #147) +#149 := [rewrite]: #148 +#145 := (= #32 #144) +#142 := (= #31 #141) +#87 := (= #23 #86) +#88 := [rewrite]: #87 +#84 := (= #22 #83) +#85 := [rewrite]: #84 +#143 := [monotonicity #85 #88]: #142 +#146 := [monotonicity #143]: #145 +#151 := [trans #146 #149]: #150 +#80 := (iff #20 #79) +#77 := (iff #19 #76) +#78 := [rewrite]: #77 +#81 := [monotonicity #78]: #80 +#154 := [monotonicity #81 #151]: #153 +#157 := [monotonicity #154]: #156 +#160 := [monotonicity #157]: #159 +#163 := [monotonicity #160]: #162 +#166 := [quant-intro #163]: #165 +#183 := [trans #166 #181]: #182 +#140 := [asserted]: #37 +#184 := [mp #140 #183]: #179 +#291 := [mp~ #184 #275]: #179 +#341 := [mp #291 #340]: #338 +#372 := [mp #341 #371]: #369 +#857 := [mp #372 #856]: #852 +#677 := (not #852) +#679 := (or #677 #507) +#430 := (* -1::int 3::int) +#515 := (* -1::int 0::int) +#516 := (mod #515 #430) +#517 := (+ #54 #516) +#508 := (= #517 0::int) +#519 := (mod 0::int 3::int) +#520 := (* -1::int #519) +#448 := (+ #54 #520) +#521 := (= #448 0::int) +#518 := (<= 3::int 0::int) +#522 := (<= 0::int 0::int) +#501 := (or #522 #518) +#836 := (not #501) +#838 := (>= 0::int 0::int) +#495 := (or #518 #838) +#625 := (not #495) +#832 := (or #625 #836) +#506 := (ite #832 #521 #508) +#839 := (= 0::int 0::int) +#840 := (ite #839 #507 #506) +#841 := (= 0::int #54) +#842 := (= 3::int 0::int) +#837 := (ite #842 #841 #840) +#680 := (or #677 #837) +#681 := (iff #680 #679) +#683 := (iff #679 #679) +#684 := [rewrite]: #683 +#777 := (iff #837 #507) +#626 := (ite false #507 #507) +#781 := (iff #626 #507) +#783 := [rewrite]: #781 +#773 := (iff #837 #626) +#776 := (iff #840 #507) +#1 := true +#785 := (ite true #507 #507) +#669 := (iff #785 #507) +#628 := [rewrite]: #669 +#667 := (iff #840 #785) +#784 := (iff #506 #507) +#627 := (iff #506 #626) +#795 := (iff #508 #507) +#794 := (= #517 #54) +#806 := (+ #54 0::int) +#800 := (= #806 #54) +#801 := [rewrite]: #800 +#787 := (= #517 #806) +#792 := (= #516 0::int) +#798 := -3::int +#646 := (mod 0::int -3::int) +#790 := (= #646 0::int) +#791 := [rewrite]: #790 +#647 := (= #516 #646) +#804 := (= #430 -3::int) +#645 := [rewrite]: #804 +#808 := (= #515 0::int) +#523 := [rewrite]: #808 +#789 := [monotonicity #523 #645]: #647 +#786 := [trans #789 #791]: #792 +#793 := [monotonicity #786]: #787 +#788 := [trans #793 #801]: #794 +#624 := [monotonicity #788]: #795 +#802 := (iff #521 #507) +#796 := (= #448 #54) +#810 := (= #448 #806) +#805 := (= #520 0::int) +#529 := (= #520 #515) +#527 := (= #519 0::int) +#528 := [rewrite]: #527 +#807 := [monotonicity #528]: #529 +#809 := [trans #807 #523]: #805 +#799 := [monotonicity #809]: #810 +#797 := [trans #799 #801]: #796 +#803 := [monotonicity #797]: #802 +#816 := (iff #832 false) +#536 := (or false false) +#815 := (iff #536 false) +#812 := [rewrite]: #815 +#537 := (iff #832 #536) +#813 := (iff #836 false) +#825 := (not true) +#464 := (iff #825 false) +#827 := [rewrite]: #464 +#543 := (iff #836 #825) +#541 := (iff #501 true) +#828 := (or true false) +#818 := (iff #828 true) +#540 := [rewrite]: #818 +#831 := (iff #501 #828) +#835 := (iff #518 false) +#478 := [rewrite]: #835 +#470 := (iff #522 true) +#830 := [rewrite]: #470 +#817 := [monotonicity #830 #478]: #831 +#542 := [trans #817 #540]: #541 +#436 := [monotonicity #542]: #543 +#814 := [trans #436 #827]: #813 +#829 := (iff #625 false) +#820 := (iff #625 #825) +#823 := (iff #495 true) +#483 := (or false true) +#821 := (iff #483 true) +#822 := [rewrite]: #821 +#484 := (iff #495 #483) +#819 := (iff #838 true) +#482 := [rewrite]: #819 +#485 := [monotonicity #478 #482]: #484 +#824 := [trans #485 #822]: #823 +#826 := [monotonicity #824]: #820 +#469 := [trans #826 #827]: #829 +#811 := [monotonicity #469 #814]: #537 +#526 := [trans #811 #812]: #816 +#780 := [monotonicity #526 #803 #624]: #627 +#782 := [trans #780 #783]: #784 +#834 := (iff #839 true) +#494 := [rewrite]: #834 +#668 := [monotonicity #494 #782]: #667 +#678 := [trans #668 #628]: #776 +#493 := (iff #841 #507) +#498 := [rewrite]: #493 +#843 := (iff #842 false) +#833 := [rewrite]: #843 +#774 := [monotonicity #833 #498 #678]: #773 +#662 := [trans #774 #783]: #777 +#682 := [monotonicity #662]: #681 +#685 := [trans #682 #684]: #681 +#673 := [quant-inst]: #680 +#778 := [mp #673 #685]: #679 +#713 := [unit-resolution #778 #857]: #507 +#709 := [monotonicity #713]: #57 +#58 := (not #57) +#270 := [asserted]: #58 +[unit-resolution #270 #709]: false +unsat +8c2d3e4568510c293138be5f353975b23e5bdc6e 538 0 #2 := false #11 := 0::int decl f6 :: (-> S2 int) @@ -18101,98 +18407,99 @@ #593 := [trans #591 #608]: #781 [unit-resolution #661 #593]: false unsat -124e92a80da0b0c9c6ea2fb487ed064cc0c65420 305 0 +6dd67c9a5af172ae1a01724c38372069dc3347ac 328 0 #2 := false decl f5 :: (-> int S2) -#11 := 0::int -#56 := (f5 0::int) +#53 := 1::int +#57 := (f5 1::int) decl f4 :: (-> int int int) -#53 := 3::int -#54 := (f4 0::int 3::int) -#55 := (f5 #54) -#57 := (= #55 #56) -#507 := (= #54 0::int) +#54 := 3::int +#55 := (f4 1::int 3::int) +#56 := (f5 #55) +#58 := (= #56 #57) +#834 := (= #55 1::int) #9 := (:var 0 int) #8 := (:var 1 int) #29 := (f4 #8 #9) #851 := (pattern #29) -#82 := -1::int -#86 := (* -1::int #9) -#83 := (* -1::int #8) -#141 := (mod #83 #86) -#362 := (+ #29 #141) -#363 := (= #362 0::int) +#11 := 0::int +#83 := -1::int +#87 := (* -1::int #9) +#84 := (* -1::int #8) +#142 := (mod #84 #87) +#363 := (+ #29 #142) +#364 := (= #363 0::int) #30 := (mod #8 #9) -#359 := (* -1::int #30) -#360 := (+ #29 #359) -#361 := (= #360 0::int) -#108 := (<= #9 0::int) -#104 := (<= #8 0::int) -#301 := (or #104 #108) -#302 := (not #301) -#115 := (>= #8 0::int) -#284 := (or #108 #115) -#285 := (not #284) -#308 := (or #285 #302) -#364 := (ite #308 #361 #363) -#358 := (= #29 0::int) -#12 := (= #8 0::int) -#365 := (ite #12 #358 #364) -#357 := (= #8 #29) -#13 := (= #9 0::int) -#366 := (ite #13 #357 #365) -#852 := (forall (vars (?v0 int) (?v1 int)) (:pat #851) #366) -#369 := (forall (vars (?v0 int) (?v1 int)) #366) -#855 := (iff #369 #852) -#853 := (iff #366 #366) +#360 := (* -1::int #30) +#361 := (+ #29 #360) +#362 := (= #361 0::int) +#109 := (<= #9 0::int) +#105 := (<= #8 0::int) +#302 := (or #105 #109) +#303 := (not #302) +#116 := (>= #8 0::int) +#285 := (or #109 #116) +#286 := (not #285) +#309 := (or #286 #303) +#365 := (ite #309 #362 #364) +#359 := (= #29 0::int) +#12 := (= #8 0::int) +#366 := (ite #12 #359 #365) +#358 := (= #8 #29) +#13 := (= #9 0::int) +#367 := (ite #13 #358 #366) +#852 := (forall (vars (?v0 int) (?v1 int)) (:pat #851) #367) +#370 := (forall (vars (?v0 int) (?v1 int)) #367) +#855 := (iff #370 #852) +#853 := (iff #367 #367) #854 := [refl]: #853 #856 := [quant-intro #854]: #855 -#147 := (* -1::int #141) -#326 := (ite #308 #30 #147) -#329 := (ite #12 0::int #326) -#332 := (ite #13 #8 #329) -#335 := (= #29 #332) -#338 := (forall (vars (?v0 int) (?v1 int)) #335) -#370 := (iff #338 #369) -#367 := (iff #335 #366) -#368 := [rewrite]: #367 -#371 := [quant-intro #368]: #370 -#116 := (not #115) -#109 := (not #108) -#119 := (and #109 #116) -#105 := (not #104) -#112 := (and #105 #109) -#122 := (or #112 #119) -#167 := (ite #122 #30 #147) -#170 := (ite #12 0::int #167) -#173 := (ite #13 #8 #170) -#176 := (= #29 #173) -#179 := (forall (vars (?v0 int) (?v1 int)) #176) -#339 := (iff #179 #338) -#336 := (iff #176 #335) -#333 := (= #173 #332) -#330 := (= #170 #329) -#327 := (= #167 #326) -#311 := (iff #122 #308) -#305 := (or #302 #285) -#309 := (iff #305 #308) -#310 := [rewrite]: #309 -#306 := (iff #122 #305) -#303 := (iff #119 #285) -#304 := [rewrite]: #303 -#282 := (iff #112 #302) -#283 := [rewrite]: #282 -#307 := [monotonicity #283 #304]: #306 -#312 := [trans #307 #310]: #311 -#328 := [monotonicity #312]: #327 -#331 := [monotonicity #328]: #330 -#334 := [monotonicity #331]: #333 -#337 := [monotonicity #334]: #336 -#340 := [quant-intro #337]: #339 -#274 := (~ #179 #179) -#271 := (~ #176 #176) -#290 := [refl]: #271 -#275 := [nnf-pos #290]: #274 +#148 := (* -1::int #142) +#327 := (ite #309 #30 #148) +#330 := (ite #12 0::int #327) +#333 := (ite #13 #8 #330) +#336 := (= #29 #333) +#339 := (forall (vars (?v0 int) (?v1 int)) #336) +#371 := (iff #339 #370) +#368 := (iff #336 #367) +#369 := [rewrite]: #368 +#372 := [quant-intro #369]: #371 +#117 := (not #116) +#110 := (not #109) +#120 := (and #110 #117) +#106 := (not #105) +#113 := (and #106 #110) +#123 := (or #113 #120) +#168 := (ite #123 #30 #148) +#171 := (ite #12 0::int #168) +#174 := (ite #13 #8 #171) +#177 := (= #29 #174) +#180 := (forall (vars (?v0 int) (?v1 int)) #177) +#340 := (iff #180 #339) +#337 := (iff #177 #336) +#334 := (= #174 #333) +#331 := (= #171 #330) +#328 := (= #168 #327) +#312 := (iff #123 #309) +#306 := (or #303 #286) +#310 := (iff #306 #309) +#311 := [rewrite]: #310 +#307 := (iff #123 #306) +#304 := (iff #120 #286) +#305 := [rewrite]: #304 +#283 := (iff #113 #303) +#284 := [rewrite]: #283 +#308 := [monotonicity #284 #305]: #307 +#313 := [trans #308 #311]: #312 +#329 := [monotonicity #313]: #328 +#332 := [monotonicity #329]: #331 +#335 := [monotonicity #332]: #334 +#338 := [monotonicity #335]: #337 +#341 := [quant-intro #338]: #340 +#275 := (~ #180 #180) +#272 := (~ #177 #177) +#291 := [refl]: #272 +#276 := [nnf-pos #291]: #275 #23 := (- #9) #22 := (- #8) #31 := (mod #22 #23) @@ -18208,206 +18515,228 @@ #35 := (ite #13 #8 #34) #36 := (= #29 #35) #37 := (forall (vars (?v0 int) (?v1 int)) #36) -#182 := (iff #37 #179) -#76 := (and #16 #18) -#79 := (or #17 #76) -#152 := (ite #79 #30 #147) -#155 := (ite #12 0::int #152) -#158 := (ite #13 #8 #155) -#161 := (= #29 #158) -#164 := (forall (vars (?v0 int) (?v1 int)) #161) -#180 := (iff #164 #179) -#177 := (iff #161 #176) -#174 := (= #158 #173) -#171 := (= #155 #170) -#168 := (= #152 #167) -#123 := (iff #79 #122) -#120 := (iff #76 #119) -#117 := (iff #18 #116) -#118 := [rewrite]: #117 -#110 := (iff #16 #109) -#111 := [rewrite]: #110 -#121 := [monotonicity #111 #118]: #120 -#113 := (iff #17 #112) -#106 := (iff #15 #105) -#107 := [rewrite]: #106 -#114 := [monotonicity #107 #111]: #113 -#124 := [monotonicity #114 #121]: #123 -#169 := [monotonicity #124]: #168 -#172 := [monotonicity #169]: #171 -#175 := [monotonicity #172]: #174 -#178 := [monotonicity #175]: #177 -#181 := [quant-intro #178]: #180 -#165 := (iff #37 #164) -#162 := (iff #36 #161) -#159 := (= #35 #158) -#156 := (= #34 #155) -#153 := (= #33 #152) -#150 := (= #32 #147) -#144 := (- #141) -#148 := (= #144 #147) -#149 := [rewrite]: #148 -#145 := (= #32 #144) -#142 := (= #31 #141) -#87 := (= #23 #86) -#88 := [rewrite]: #87 -#84 := (= #22 #83) -#85 := [rewrite]: #84 -#143 := [monotonicity #85 #88]: #142 -#146 := [monotonicity #143]: #145 -#151 := [trans #146 #149]: #150 -#80 := (iff #20 #79) -#77 := (iff #19 #76) -#78 := [rewrite]: #77 -#81 := [monotonicity #78]: #80 -#154 := [monotonicity #81 #151]: #153 -#157 := [monotonicity #154]: #156 -#160 := [monotonicity #157]: #159 -#163 := [monotonicity #160]: #162 -#166 := [quant-intro #163]: #165 -#183 := [trans #166 #181]: #182 -#140 := [asserted]: #37 -#184 := [mp #140 #183]: #179 -#291 := [mp~ #184 #275]: #179 -#341 := [mp #291 #340]: #338 -#372 := [mp #341 #371]: #369 -#857 := [mp #372 #856]: #852 -#677 := (not #852) -#679 := (or #677 #507) -#430 := (* -1::int 3::int) -#515 := (* -1::int 0::int) -#516 := (mod #515 #430) -#517 := (+ #54 #516) +#183 := (iff #37 #180) +#77 := (and #16 #18) +#80 := (or #17 #77) +#153 := (ite #80 #30 #148) +#156 := (ite #12 0::int #153) +#159 := (ite #13 #8 #156) +#162 := (= #29 #159) +#165 := (forall (vars (?v0 int) (?v1 int)) #162) +#181 := (iff #165 #180) +#178 := (iff #162 #177) +#175 := (= #159 #174) +#172 := (= #156 #171) +#169 := (= #153 #168) +#124 := (iff #80 #123) +#121 := (iff #77 #120) +#118 := (iff #18 #117) +#119 := [rewrite]: #118 +#111 := (iff #16 #110) +#112 := [rewrite]: #111 +#122 := [monotonicity #112 #119]: #121 +#114 := (iff #17 #113) +#107 := (iff #15 #106) +#108 := [rewrite]: #107 +#115 := [monotonicity #108 #112]: #114 +#125 := [monotonicity #115 #122]: #124 +#170 := [monotonicity #125]: #169 +#173 := [monotonicity #170]: #172 +#176 := [monotonicity #173]: #175 +#179 := [monotonicity #176]: #178 +#182 := [quant-intro #179]: #181 +#166 := (iff #37 #165) +#163 := (iff #36 #162) +#160 := (= #35 #159) +#157 := (= #34 #156) +#154 := (= #33 #153) +#151 := (= #32 #148) +#145 := (- #142) +#149 := (= #145 #148) +#150 := [rewrite]: #149 +#146 := (= #32 #145) +#143 := (= #31 #142) +#88 := (= #23 #87) +#89 := [rewrite]: #88 +#85 := (= #22 #84) +#86 := [rewrite]: #85 +#144 := [monotonicity #86 #89]: #143 +#147 := [monotonicity #144]: #146 +#152 := [trans #147 #150]: #151 +#81 := (iff #20 #80) +#78 := (iff #19 #77) +#79 := [rewrite]: #78 +#82 := [monotonicity #79]: #81 +#155 := [monotonicity #82 #152]: #154 +#158 := [monotonicity #155]: #157 +#161 := [monotonicity #158]: #160 +#164 := [monotonicity #161]: #163 +#167 := [quant-intro #164]: #166 +#184 := [trans #167 #182]: #183 +#141 := [asserted]: #37 +#185 := [mp #141 #184]: #180 +#292 := [mp~ #185 #276]: #180 +#342 := [mp #292 #341]: #339 +#373 := [mp #342 #372]: #370 +#857 := [mp #373 #856]: #852 +#762 := (not #852) +#763 := (or #762 #834) +#431 := (* -1::int 3::int) +#515 := (* -1::int 1::int) +#516 := (mod #515 #431) +#517 := (+ #55 #516) #508 := (= #517 0::int) -#519 := (mod 0::int 3::int) +#519 := (mod 1::int 3::int) #520 := (* -1::int #519) -#448 := (+ #54 #520) -#521 := (= #448 0::int) -#518 := (<= 3::int 0::int) -#522 := (<= 0::int 0::int) -#501 := (or #522 #518) -#836 := (not #501) -#838 := (>= 0::int 0::int) -#495 := (or #518 #838) -#625 := (not #495) -#832 := (or #625 #836) -#506 := (ite #832 #521 #508) -#839 := (= 0::int 0::int) -#840 := (ite #839 #507 #506) -#841 := (= 0::int #54) -#842 := (= 3::int 0::int) -#837 := (ite #842 #841 #840) -#680 := (or #677 #837) -#681 := (iff #680 #679) -#683 := (iff #679 #679) -#684 := [rewrite]: #683 -#777 := (iff #837 #507) -#626 := (ite false #507 #507) -#781 := (iff #626 #507) -#783 := [rewrite]: #781 -#773 := (iff #837 #626) -#776 := (iff #840 #507) -#1 := true -#785 := (ite true #507 #507) -#669 := (iff #785 #507) -#628 := [rewrite]: #669 -#667 := (iff #840 #785) -#784 := (iff #506 #507) -#627 := (iff #506 #626) -#795 := (iff #508 #507) -#794 := (= #517 #54) -#806 := (+ #54 0::int) -#800 := (= #806 #54) -#801 := [rewrite]: #800 -#787 := (= #517 #806) -#792 := (= #516 0::int) -#798 := -3::int -#646 := (mod 0::int -3::int) -#790 := (= #646 0::int) -#791 := [rewrite]: #790 -#647 := (= #516 #646) -#804 := (= #430 -3::int) -#645 := [rewrite]: #804 -#808 := (= #515 0::int) -#523 := [rewrite]: #808 -#789 := [monotonicity #523 #645]: #647 -#786 := [trans #789 #791]: #792 -#793 := [monotonicity #786]: #787 -#788 := [trans #793 #801]: #794 -#624 := [monotonicity #788]: #795 -#802 := (iff #521 #507) -#796 := (= #448 #54) -#810 := (= #448 #806) -#805 := (= #520 0::int) -#529 := (= #520 #515) -#527 := (= #519 0::int) -#528 := [rewrite]: #527 -#807 := [monotonicity #528]: #529 -#809 := [trans #807 #523]: #805 -#799 := [monotonicity #809]: #810 -#797 := [trans #799 #801]: #796 -#803 := [monotonicity #797]: #802 -#816 := (iff #832 false) -#536 := (or false false) -#815 := (iff #536 false) -#812 := [rewrite]: #815 -#537 := (iff #832 #536) -#813 := (iff #836 false) -#825 := (not true) -#464 := (iff #825 false) -#827 := [rewrite]: #464 -#543 := (iff #836 #825) -#541 := (iff #501 true) -#828 := (or true false) -#818 := (iff #828 true) -#540 := [rewrite]: #818 -#831 := (iff #501 #828) -#835 := (iff #518 false) +#521 := (+ #55 #520) +#518 := (= #521 0::int) +#522 := (<= 3::int 0::int) +#501 := (<= 1::int 0::int) +#836 := (or #501 #522) +#838 := (not #836) +#495 := (>= 1::int 0::int) +#625 := (or #522 #495) +#832 := (not #625) +#506 := (or #832 #838) +#507 := (ite #506 #518 #508) +#839 := (= #55 0::int) +#840 := (= 1::int 0::int) +#841 := (ite #840 #839 #507) +#842 := (= 1::int #55) +#837 := (= 3::int 0::int) +#843 := (ite #837 #842 #841) +#764 := (or #762 #843) +#765 := (iff #764 #763) +#750 := (iff #763 #763) +#752 := [rewrite]: #750 +#772 := (iff #843 #834) +#759 := (ite false #834 #834) +#771 := (iff #759 #834) +#767 := [rewrite]: #771 +#769 := (iff #843 #759) +#760 := (iff #841 #834) +#778 := (ite false #839 #834) +#766 := (iff #778 #834) +#768 := [rewrite]: #766 +#775 := (iff #841 #778) +#684 := (iff #507 #834) +#773 := -2::int +#774 := (= #55 -2::int) +#1 := true +#680 := (ite true #834 #774) +#682 := (iff #680 #834) +#683 := [rewrite]: #682 +#673 := (iff #507 #680) +#677 := (iff #508 #774) +#795 := 2::int +#782 := (+ 2::int #55) +#628 := (= #782 0::int) +#777 := (iff #628 #774) +#662 := [rewrite]: #777 +#776 := (iff #508 #628) +#668 := (= #517 #782) +#781 := (+ #55 2::int) +#785 := (= #781 #782) +#667 := [rewrite]: #785 +#783 := (= #517 #781) +#627 := (= #516 2::int) +#792 := -3::int +#793 := (mod -1::int -3::int) +#624 := (= #793 2::int) +#626 := [rewrite]: #624 +#794 := (= #516 #793) +#786 := (= #431 -3::int) +#787 := [rewrite]: #786 +#805 := (= #515 -1::int) +#809 := [rewrite]: #805 +#788 := [monotonicity #809 #787]: #794 +#780 := [trans #788 #626]: #627 +#784 := [monotonicity #780]: #783 +#669 := [trans #784 #667]: #668 +#678 := [monotonicity #669]: #776 +#679 := [trans #678 #662]: #677 +#790 := (iff #518 #834) +#796 := (+ -1::int #55) +#804 := (= #796 0::int) +#647 := (iff #804 #834) +#789 := [rewrite]: #647 +#645 := (iff #518 #804) +#803 := (= #521 #796) +#799 := (+ #55 -1::int) +#797 := (= #799 #796) +#802 := [rewrite]: #797 +#800 := (= #521 #799) +#806 := (= #520 -1::int) +#808 := (= #520 #515) +#529 := (= #519 1::int) +#807 := [rewrite]: #529 +#523 := [monotonicity #807]: #808 +#810 := [trans #523 #809]: #806 +#801 := [monotonicity #810]: #800 +#798 := [trans #801 #802]: #803 +#646 := [monotonicity #798]: #645 +#791 := [trans #646 #789]: #790 +#527 := (iff #506 true) +#485 := (or false true) +#823 := (iff #485 true) +#824 := [rewrite]: #823 +#816 := (iff #506 #485) +#815 := (iff #838 true) +#813 := (not false) +#537 := (iff #813 true) +#811 := [rewrite]: #537 +#814 := (iff #838 #813) +#543 := (iff #836 false) +#817 := (or false false) +#541 := (iff #817 false) +#542 := [rewrite]: #541 +#818 := (iff #836 #817) +#819 := (iff #522 false) +#482 := [rewrite]: #819 +#828 := (iff #501 false) +#831 := [rewrite]: #828 +#540 := [monotonicity #831 #482]: #818 +#437 := [trans #540 #542]: #543 +#536 := [monotonicity #437]: #814 +#812 := [trans #536 #811]: #815 +#470 := (iff #832 false) +#826 := (not true) +#829 := (iff #826 false) +#469 := [rewrite]: #829 +#464 := (iff #832 #826) +#825 := (iff #625 true) +#821 := (iff #625 #485) +#483 := (iff #495 true) +#484 := [rewrite]: #483 +#822 := [monotonicity #482 #484]: #821 +#820 := [trans #822 #824]: #825 +#827 := [monotonicity #820]: #464 +#830 := [trans #827 #469]: #470 +#526 := [monotonicity #830 #812]: #816 +#528 := [trans #526 #824]: #527 +#681 := [monotonicity #528 #791 #679]: #673 +#685 := [trans #681 #683]: #684 +#835 := (iff #840 false) #478 := [rewrite]: #835 -#470 := (iff #522 true) -#830 := [rewrite]: #470 -#817 := [monotonicity #830 #478]: #831 -#542 := [trans #817 #540]: #541 -#436 := [monotonicity #542]: #543 -#814 := [trans #436 #827]: #813 -#829 := (iff #625 false) -#820 := (iff #625 #825) -#823 := (iff #495 true) -#483 := (or false true) -#821 := (iff #483 true) -#822 := [rewrite]: #821 -#484 := (iff #495 #483) -#819 := (iff #838 true) -#482 := [rewrite]: #819 -#485 := [monotonicity #478 #482]: #484 -#824 := [trans #485 #822]: #823 -#826 := [monotonicity #824]: #820 -#469 := [trans #826 #827]: #829 -#811 := [monotonicity #469 #814]: #537 -#526 := [trans #811 #812]: #816 -#780 := [monotonicity #526 #803 #624]: #627 -#782 := [trans #780 #783]: #784 -#834 := (iff #839 true) -#494 := [rewrite]: #834 -#668 := [monotonicity #494 #782]: #667 -#678 := [trans #668 #628]: #776 -#493 := (iff #841 #507) -#498 := [rewrite]: #493 -#843 := (iff #842 false) -#833 := [rewrite]: #843 -#774 := [monotonicity #833 #498 #678]: #773 -#662 := [trans #774 #783]: #777 -#682 := [monotonicity #662]: #681 -#685 := [trans #682 #684]: #681 -#673 := [quant-inst]: #680 -#778 := [mp #673 #685]: #679 -#713 := [unit-resolution #778 #857]: #507 -#709 := [monotonicity #713]: #57 -#58 := (not #57) -#270 := [asserted]: #58 -[unit-resolution #270 #709]: false -unsat -b68469389563a7c2adfa58d6c3a299893ac9030d 605 0 +#779 := [monotonicity #478 #685]: #775 +#757 := [trans #779 #768]: #760 +#498 := (iff #842 #834) +#494 := [rewrite]: #498 +#833 := (iff #837 false) +#493 := [rewrite]: #833 +#770 := [monotonicity #493 #494 #757]: #769 +#761 := [trans #770 #767]: #772 +#749 := [monotonicity #761]: #765 +#753 := [trans #749 #752]: #765 +#758 := [quant-inst]: #764 +#754 := [mp #758 #753]: #763 +#703 := [unit-resolution #754 #857]: #834 +#708 := [monotonicity #703]: #58 +#59 := (not #58) +#271 := [asserted]: #59 +[unit-resolution #271 #708]: false +unsat +d632f2ce3ea3569341b3f434b727f0c2aca7fff1 605 0 #2 := false decl f5 :: (-> int S2) #11 := 0::int @@ -19013,99 +19342,98 @@ #603 := [unit-resolution #535 #671]: #61 [unit-resolution #603 #596]: false unsat -48fbc21a65dea108392ceeedb3a0cbae0d536aab 328 0 +35e52a261c60456fe5328f3a2bc282a72801535d 303 0 #2 := false decl f5 :: (-> int S2) -#53 := 1::int -#57 := (f5 1::int) +#11 := 0::int +#56 := (f5 0::int) decl f4 :: (-> int int int) -#54 := 3::int -#55 := (f4 1::int 3::int) -#56 := (f5 #55) -#58 := (= #56 #57) -#834 := (= #55 1::int) +#53 := 3::int +#54 := (f4 3::int 3::int) +#55 := (f5 #54) +#57 := (= #55 #56) +#832 := (= #54 0::int) #9 := (:var 0 int) #8 := (:var 1 int) #29 := (f4 #8 #9) #851 := (pattern #29) -#11 := 0::int -#83 := -1::int -#87 := (* -1::int #9) -#84 := (* -1::int #8) -#142 := (mod #84 #87) -#363 := (+ #29 #142) -#364 := (= #363 0::int) +#82 := -1::int +#86 := (* -1::int #9) +#83 := (* -1::int #8) +#141 := (mod #83 #86) +#362 := (+ #29 #141) +#363 := (= #362 0::int) #30 := (mod #8 #9) -#360 := (* -1::int #30) -#361 := (+ #29 #360) -#362 := (= #361 0::int) -#109 := (<= #9 0::int) -#105 := (<= #8 0::int) -#302 := (or #105 #109) -#303 := (not #302) -#116 := (>= #8 0::int) -#285 := (or #109 #116) -#286 := (not #285) -#309 := (or #286 #303) -#365 := (ite #309 #362 #364) -#359 := (= #29 0::int) -#12 := (= #8 0::int) -#366 := (ite #12 #359 #365) -#358 := (= #8 #29) -#13 := (= #9 0::int) -#367 := (ite #13 #358 #366) -#852 := (forall (vars (?v0 int) (?v1 int)) (:pat #851) #367) -#370 := (forall (vars (?v0 int) (?v1 int)) #367) -#855 := (iff #370 #852) -#853 := (iff #367 #367) +#359 := (* -1::int #30) +#360 := (+ #29 #359) +#361 := (= #360 0::int) +#108 := (<= #9 0::int) +#104 := (<= #8 0::int) +#301 := (or #104 #108) +#302 := (not #301) +#115 := (>= #8 0::int) +#284 := (or #108 #115) +#285 := (not #284) +#308 := (or #285 #302) +#364 := (ite #308 #361 #363) +#358 := (= #29 0::int) +#12 := (= #8 0::int) +#365 := (ite #12 #358 #364) +#357 := (= #8 #29) +#13 := (= #9 0::int) +#366 := (ite #13 #357 #365) +#852 := (forall (vars (?v0 int) (?v1 int)) (:pat #851) #366) +#369 := (forall (vars (?v0 int) (?v1 int)) #366) +#855 := (iff #369 #852) +#853 := (iff #366 #366) #854 := [refl]: #853 #856 := [quant-intro #854]: #855 -#148 := (* -1::int #142) -#327 := (ite #309 #30 #148) -#330 := (ite #12 0::int #327) -#333 := (ite #13 #8 #330) -#336 := (= #29 #333) -#339 := (forall (vars (?v0 int) (?v1 int)) #336) -#371 := (iff #339 #370) -#368 := (iff #336 #367) -#369 := [rewrite]: #368 -#372 := [quant-intro #369]: #371 -#117 := (not #116) -#110 := (not #109) -#120 := (and #110 #117) -#106 := (not #105) -#113 := (and #106 #110) -#123 := (or #113 #120) -#168 := (ite #123 #30 #148) -#171 := (ite #12 0::int #168) -#174 := (ite #13 #8 #171) -#177 := (= #29 #174) -#180 := (forall (vars (?v0 int) (?v1 int)) #177) -#340 := (iff #180 #339) -#337 := (iff #177 #336) -#334 := (= #174 #333) -#331 := (= #171 #330) -#328 := (= #168 #327) -#312 := (iff #123 #309) -#306 := (or #303 #286) -#310 := (iff #306 #309) -#311 := [rewrite]: #310 -#307 := (iff #123 #306) -#304 := (iff #120 #286) -#305 := [rewrite]: #304 -#283 := (iff #113 #303) -#284 := [rewrite]: #283 -#308 := [monotonicity #284 #305]: #307 -#313 := [trans #308 #311]: #312 -#329 := [monotonicity #313]: #328 -#332 := [monotonicity #329]: #331 -#335 := [monotonicity #332]: #334 -#338 := [monotonicity #335]: #337 -#341 := [quant-intro #338]: #340 -#275 := (~ #180 #180) -#272 := (~ #177 #177) -#291 := [refl]: #272 -#276 := [nnf-pos #291]: #275 +#147 := (* -1::int #141) +#326 := (ite #308 #30 #147) +#329 := (ite #12 0::int #326) +#332 := (ite #13 #8 #329) +#335 := (= #29 #332) +#338 := (forall (vars (?v0 int) (?v1 int)) #335) +#370 := (iff #338 #369) +#367 := (iff #335 #366) +#368 := [rewrite]: #367 +#371 := [quant-intro #368]: #370 +#116 := (not #115) +#109 := (not #108) +#119 := (and #109 #116) +#105 := (not #104) +#112 := (and #105 #109) +#122 := (or #112 #119) +#167 := (ite #122 #30 #147) +#170 := (ite #12 0::int #167) +#173 := (ite #13 #8 #170) +#176 := (= #29 #173) +#179 := (forall (vars (?v0 int) (?v1 int)) #176) +#339 := (iff #179 #338) +#336 := (iff #176 #335) +#333 := (= #173 #332) +#330 := (= #170 #329) +#327 := (= #167 #326) +#311 := (iff #122 #308) +#305 := (or #302 #285) +#309 := (iff #305 #308) +#310 := [rewrite]: #309 +#306 := (iff #122 #305) +#303 := (iff #119 #285) +#304 := [rewrite]: #303 +#282 := (iff #112 #302) +#283 := [rewrite]: #282 +#307 := [monotonicity #283 #304]: #306 +#312 := [trans #307 #310]: #311 +#328 := [monotonicity #312]: #327 +#331 := [monotonicity #328]: #330 +#334 := [monotonicity #331]: #333 +#337 := [monotonicity #334]: #336 +#340 := [quant-intro #337]: #339 +#274 := (~ #179 #179) +#271 := (~ #176 #176) +#290 := [refl]: #271 +#275 := [nnf-pos #290]: #274 #23 := (- #9) #22 := (- #8) #31 := (mod #22 #23) @@ -19121,228 +19449,204 @@ #35 := (ite #13 #8 #34) #36 := (= #29 #35) #37 := (forall (vars (?v0 int) (?v1 int)) #36) -#183 := (iff #37 #180) -#77 := (and #16 #18) -#80 := (or #17 #77) -#153 := (ite #80 #30 #148) -#156 := (ite #12 0::int #153) -#159 := (ite #13 #8 #156) -#162 := (= #29 #159) -#165 := (forall (vars (?v0 int) (?v1 int)) #162) -#181 := (iff #165 #180) -#178 := (iff #162 #177) -#175 := (= #159 #174) -#172 := (= #156 #171) -#169 := (= #153 #168) -#124 := (iff #80 #123) -#121 := (iff #77 #120) -#118 := (iff #18 #117) -#119 := [rewrite]: #118 -#111 := (iff #16 #110) -#112 := [rewrite]: #111 -#122 := [monotonicity #112 #119]: #121 -#114 := (iff #17 #113) -#107 := (iff #15 #106) -#108 := [rewrite]: #107 -#115 := [monotonicity #108 #112]: #114 -#125 := [monotonicity #115 #122]: #124 -#170 := [monotonicity #125]: #169 -#173 := [monotonicity #170]: #172 -#176 := [monotonicity #173]: #175 -#179 := [monotonicity #176]: #178 -#182 := [quant-intro #179]: #181 -#166 := (iff #37 #165) -#163 := (iff #36 #162) -#160 := (= #35 #159) -#157 := (= #34 #156) -#154 := (= #33 #153) -#151 := (= #32 #148) -#145 := (- #142) -#149 := (= #145 #148) -#150 := [rewrite]: #149 -#146 := (= #32 #145) -#143 := (= #31 #142) -#88 := (= #23 #87) -#89 := [rewrite]: #88 -#85 := (= #22 #84) -#86 := [rewrite]: #85 -#144 := [monotonicity #86 #89]: #143 -#147 := [monotonicity #144]: #146 -#152 := [trans #147 #150]: #151 -#81 := (iff #20 #80) -#78 := (iff #19 #77) -#79 := [rewrite]: #78 -#82 := [monotonicity #79]: #81 -#155 := [monotonicity #82 #152]: #154 -#158 := [monotonicity #155]: #157 -#161 := [monotonicity #158]: #160 -#164 := [monotonicity #161]: #163 -#167 := [quant-intro #164]: #166 -#184 := [trans #167 #182]: #183 -#141 := [asserted]: #37 -#185 := [mp #141 #184]: #180 -#292 := [mp~ #185 #276]: #180 -#342 := [mp #292 #341]: #339 -#373 := [mp #342 #372]: #370 -#857 := [mp #373 #856]: #852 -#762 := (not #852) -#763 := (or #762 #834) -#431 := (* -1::int 3::int) -#515 := (* -1::int 1::int) -#516 := (mod #515 #431) -#517 := (+ #55 #516) -#508 := (= #517 0::int) -#519 := (mod 1::int 3::int) -#520 := (* -1::int #519) -#521 := (+ #55 #520) -#518 := (= #521 0::int) -#522 := (<= 3::int 0::int) -#501 := (<= 1::int 0::int) -#836 := (or #501 #522) +#182 := (iff #37 #179) +#76 := (and #16 #18) +#79 := (or #17 #76) +#152 := (ite #79 #30 #147) +#155 := (ite #12 0::int #152) +#158 := (ite #13 #8 #155) +#161 := (= #29 #158) +#164 := (forall (vars (?v0 int) (?v1 int)) #161) +#180 := (iff #164 #179) +#177 := (iff #161 #176) +#174 := (= #158 #173) +#171 := (= #155 #170) +#168 := (= #152 #167) +#123 := (iff #79 #122) +#120 := (iff #76 #119) +#117 := (iff #18 #116) +#118 := [rewrite]: #117 +#110 := (iff #16 #109) +#111 := [rewrite]: #110 +#121 := [monotonicity #111 #118]: #120 +#113 := (iff #17 #112) +#106 := (iff #15 #105) +#107 := [rewrite]: #106 +#114 := [monotonicity #107 #111]: #113 +#124 := [monotonicity #114 #121]: #123 +#169 := [monotonicity #124]: #168 +#172 := [monotonicity #169]: #171 +#175 := [monotonicity #172]: #174 +#178 := [monotonicity #175]: #177 +#181 := [quant-intro #178]: #180 +#165 := (iff #37 #164) +#162 := (iff #36 #161) +#159 := (= #35 #158) +#156 := (= #34 #155) +#153 := (= #33 #152) +#150 := (= #32 #147) +#144 := (- #141) +#148 := (= #144 #147) +#149 := [rewrite]: #148 +#145 := (= #32 #144) +#142 := (= #31 #141) +#87 := (= #23 #86) +#88 := [rewrite]: #87 +#84 := (= #22 #83) +#85 := [rewrite]: #84 +#143 := [monotonicity #85 #88]: #142 +#146 := [monotonicity #143]: #145 +#151 := [trans #146 #149]: #150 +#80 := (iff #20 #79) +#77 := (iff #19 #76) +#78 := [rewrite]: #77 +#81 := [monotonicity #78]: #80 +#154 := [monotonicity #81 #151]: #153 +#157 := [monotonicity #154]: #156 +#160 := [monotonicity #157]: #159 +#163 := [monotonicity #160]: #162 +#166 := [quant-intro #163]: #165 +#183 := [trans #166 #181]: #182 +#140 := [asserted]: #37 +#184 := [mp #140 #183]: #179 +#291 := [mp~ #184 #275]: #179 +#341 := [mp #291 #340]: #338 +#372 := [mp #341 #371]: #369 +#857 := [mp #372 #856]: #852 +#777 := (not #852) +#662 := (or #777 #832) +#430 := (* -1::int 3::int) +#515 := (mod #430 #430) +#516 := (+ #54 #515) +#517 := (= #516 0::int) +#508 := (mod 3::int 3::int) +#519 := (* -1::int #508) +#520 := (+ #54 #519) +#448 := (= #520 0::int) +#521 := (<= 3::int 0::int) +#518 := (or #521 #521) +#522 := (not #518) +#501 := (>= 3::int 0::int) +#836 := (or #521 #501) #838 := (not #836) -#495 := (>= 1::int 0::int) -#625 := (or #522 #495) -#832 := (not #625) -#506 := (or #832 #838) -#507 := (ite #506 #518 #508) -#839 := (= #55 0::int) -#840 := (= 1::int 0::int) -#841 := (ite #840 #839 #507) -#842 := (= 1::int #55) -#837 := (= 3::int 0::int) -#843 := (ite #837 #842 #841) -#764 := (or #762 #843) -#765 := (iff #764 #763) -#750 := (iff #763 #763) -#752 := [rewrite]: #750 -#772 := (iff #843 #834) -#759 := (ite false #834 #834) -#771 := (iff #759 #834) -#767 := [rewrite]: #771 -#769 := (iff #843 #759) -#760 := (iff #841 #834) -#778 := (ite false #839 #834) -#766 := (iff #778 #834) -#768 := [rewrite]: #766 -#775 := (iff #841 #778) -#684 := (iff #507 #834) -#773 := -2::int -#774 := (= #55 -2::int) -#1 := true -#680 := (ite true #834 #774) -#682 := (iff #680 #834) -#683 := [rewrite]: #682 -#673 := (iff #507 #680) -#677 := (iff #508 #774) -#795 := 2::int -#782 := (+ 2::int #55) -#628 := (= #782 0::int) -#777 := (iff #628 #774) -#662 := [rewrite]: #777 -#776 := (iff #508 #628) -#668 := (= #517 #782) -#781 := (+ #55 2::int) -#785 := (= #781 #782) -#667 := [rewrite]: #785 -#783 := (= #517 #781) -#627 := (= #516 2::int) -#792 := -3::int -#793 := (mod -1::int -3::int) -#624 := (= #793 2::int) -#626 := [rewrite]: #624 -#794 := (= #516 #793) -#786 := (= #431 -3::int) -#787 := [rewrite]: #786 -#805 := (= #515 -1::int) +#495 := (or #838 #522) +#625 := (ite #495 #448 #517) +#506 := (= 3::int 0::int) +#507 := (ite #506 #832 #625) +#839 := (= 3::int #54) +#840 := (ite #506 #839 #507) +#677 := (or #777 #840) +#680 := (iff #677 #662) +#681 := (iff #662 #662) +#682 := [rewrite]: #681 +#773 := (iff #840 #832) +#843 := (= #54 3::int) +#668 := (ite false #843 #832) +#776 := (iff #668 #832) +#678 := [rewrite]: #776 +#669 := (iff #840 #668) +#785 := (iff #507 #832) +#780 := (ite false #832 #832) +#784 := (iff #780 #832) +#782 := [rewrite]: #784 +#781 := (iff #507 #780) +#626 := (iff #625 #832) +#1 := true +#793 := (ite true #832 #832) +#795 := (iff #793 #832) +#624 := [rewrite]: #795 +#794 := (iff #625 #793) +#786 := (iff #517 #832) +#791 := (= #516 #54) +#807 := (+ #54 0::int) +#805 := (= #807 #54) #809 := [rewrite]: #805 -#788 := [monotonicity #809 #787]: #794 -#780 := [trans #788 #626]: #627 -#784 := [monotonicity #780]: #783 -#669 := [trans #784 #667]: #668 -#678 := [monotonicity #669]: #776 -#679 := [trans #678 #662]: #677 -#790 := (iff #518 #834) -#796 := (+ -1::int #55) -#804 := (= #796 0::int) -#647 := (iff #804 #834) -#789 := [rewrite]: #647 -#645 := (iff #518 #804) -#803 := (= #521 #796) -#799 := (+ #55 -1::int) -#797 := (= #799 #796) -#802 := [rewrite]: #797 -#800 := (= #521 #799) -#806 := (= #520 -1::int) -#808 := (= #520 #515) -#529 := (= #519 1::int) -#807 := [rewrite]: #529 -#523 := [monotonicity #807]: #808 -#810 := [trans #523 #809]: #806 -#801 := [monotonicity #810]: #800 -#798 := [trans #801 #802]: #803 -#646 := [monotonicity #798]: #645 -#791 := [trans #646 #789]: #790 -#527 := (iff #506 true) -#485 := (or false true) -#823 := (iff #485 true) -#824 := [rewrite]: #823 -#816 := (iff #506 #485) -#815 := (iff #838 true) -#813 := (not false) -#537 := (iff #813 true) +#789 := (= #516 #807) +#646 := (= #515 0::int) +#801 := -3::int +#802 := (mod -3::int -3::int) +#804 := (= #802 0::int) +#645 := [rewrite]: #804 +#803 := (= #515 #802) +#796 := (= #430 -3::int) +#797 := [rewrite]: #796 +#798 := [monotonicity #797 #797]: #803 +#647 := [trans #798 #645]: #646 +#790 := [monotonicity #647]: #789 +#792 := [trans #790 #809]: #791 +#787 := [monotonicity #792]: #786 +#799 := (iff #448 #832) +#806 := (= #520 #54) +#808 := (= #520 #807) +#528 := (= #519 0::int) +#815 := (* -1::int 0::int) +#526 := (= #815 0::int) +#527 := [rewrite]: #526 +#812 := (= #519 #815) +#537 := (= #508 0::int) #811 := [rewrite]: #537 -#814 := (iff #838 #813) -#543 := (iff #836 false) -#817 := (or false false) -#541 := (iff #817 false) -#542 := [rewrite]: #541 -#818 := (iff #836 #817) -#819 := (iff #522 false) -#482 := [rewrite]: #819 -#828 := (iff #501 false) -#831 := [rewrite]: #828 -#540 := [monotonicity #831 #482]: #818 -#437 := [trans #540 #542]: #543 -#536 := [monotonicity #437]: #814 -#812 := [trans #536 #811]: #815 -#470 := (iff #832 false) -#826 := (not true) -#829 := (iff #826 false) -#469 := [rewrite]: #829 -#464 := (iff #832 #826) -#825 := (iff #625 true) -#821 := (iff #625 #485) -#483 := (iff #495 true) -#484 := [rewrite]: #483 -#822 := [monotonicity #482 #484]: #821 -#820 := [trans #822 #824]: #825 -#827 := [monotonicity #820]: #464 -#830 := [trans #827 #469]: #470 -#526 := [monotonicity #830 #812]: #816 -#528 := [trans #526 #824]: #527 -#681 := [monotonicity #528 #791 #679]: #673 -#685 := [trans #681 #683]: #684 -#835 := (iff #840 false) -#478 := [rewrite]: #835 -#779 := [monotonicity #478 #685]: #775 -#757 := [trans #779 #768]: #760 -#498 := (iff #842 #834) -#494 := [rewrite]: #498 -#833 := (iff #837 false) -#493 := [rewrite]: #833 -#770 := [monotonicity #493 #494 #757]: #769 -#761 := [trans #770 #767]: #772 -#749 := [monotonicity #761]: #765 -#753 := [trans #749 #752]: #765 -#758 := [quant-inst]: #764 -#754 := [mp #758 #753]: #763 -#703 := [unit-resolution #754 #857]: #834 -#708 := [monotonicity #703]: #58 -#59 := (not #58) -#271 := [asserted]: #59 -[unit-resolution #271 #708]: false -unsat -d5d2986a8efaefb5e38f30bc14afaad18d3334c6 848 0 +#816 := [monotonicity #811]: #812 +#529 := [trans #816 #527]: #528 +#523 := [monotonicity #529]: #808 +#810 := [trans #523 #809]: #806 +#800 := [monotonicity #810]: #799 +#814 := (iff #495 true) +#835 := (or false true) +#482 := (iff #835 true) +#483 := [rewrite]: #482 +#436 := (iff #495 #835) +#542 := (iff #522 true) +#831 := (not false) +#540 := (iff #831 true) +#541 := [rewrite]: #540 +#817 := (iff #522 #831) +#830 := (iff #518 false) +#464 := (or false false) +#469 := (iff #464 false) +#470 := [rewrite]: #469 +#827 := (iff #518 #464) +#493 := (iff #521 false) +#498 := [rewrite]: #493 +#829 := [monotonicity #498 #498]: #827 +#828 := [trans #829 #470]: #830 +#818 := [monotonicity #828]: #817 +#543 := [trans #818 #541]: #542 +#820 := (iff #838 false) +#821 := (not true) +#824 := (iff #821 false) +#825 := [rewrite]: #824 +#822 := (iff #838 #821) +#484 := (iff #836 true) +#478 := (iff #836 #835) +#834 := (iff #501 true) +#494 := [rewrite]: #834 +#819 := [monotonicity #498 #494]: #478 +#485 := [trans #819 #483]: #484 +#823 := [monotonicity #485]: #822 +#826 := [trans #823 #825]: #820 +#813 := [monotonicity #826 #543]: #436 +#536 := [trans #813 #483]: #814 +#788 := [monotonicity #536 #800 #787]: #794 +#627 := [trans #788 #624]: #626 +#841 := (iff #506 false) +#842 := [rewrite]: #841 +#783 := [monotonicity #842 #627]: #781 +#667 := [trans #783 #782]: #785 +#837 := (iff #839 #843) +#833 := [rewrite]: #837 +#628 := [monotonicity #842 #833 #667]: #669 +#774 := [trans #628 #678]: #773 +#673 := [monotonicity #774]: #680 +#683 := [trans #673 #682]: #680 +#679 := [quant-inst]: #677 +#684 := [mp #679 #683]: #662 +#704 := [unit-resolution #684 #857]: #832 +#700 := [monotonicity #704]: #57 +#58 := (not #57) +#270 := [asserted]: #58 +[unit-resolution #270 #700]: false +unsat +dfe2acff8e1fa8b5c4e4ba1cf8fef0ce4556ee21 848 0 #2 := false decl f5 :: (-> int S2) decl f6 :: (-> S2 int) @@ -20191,311 +20495,7 @@ #1103 := [trans #935 #1102]: #300 [unit-resolution #308 #1103]: false unsat -30266f09c986583d8c5407f4e044da694063d38f 303 0 -#2 := false -decl f5 :: (-> int S2) -#11 := 0::int -#56 := (f5 0::int) -decl f4 :: (-> int int int) -#53 := 3::int -#54 := (f4 3::int 3::int) -#55 := (f5 #54) -#57 := (= #55 #56) -#832 := (= #54 0::int) -#9 := (:var 0 int) -#8 := (:var 1 int) -#29 := (f4 #8 #9) -#851 := (pattern #29) -#82 := -1::int -#86 := (* -1::int #9) -#83 := (* -1::int #8) -#141 := (mod #83 #86) -#362 := (+ #29 #141) -#363 := (= #362 0::int) -#30 := (mod #8 #9) -#359 := (* -1::int #30) -#360 := (+ #29 #359) -#361 := (= #360 0::int) -#108 := (<= #9 0::int) -#104 := (<= #8 0::int) -#301 := (or #104 #108) -#302 := (not #301) -#115 := (>= #8 0::int) -#284 := (or #108 #115) -#285 := (not #284) -#308 := (or #285 #302) -#364 := (ite #308 #361 #363) -#358 := (= #29 0::int) -#12 := (= #8 0::int) -#365 := (ite #12 #358 #364) -#357 := (= #8 #29) -#13 := (= #9 0::int) -#366 := (ite #13 #357 #365) -#852 := (forall (vars (?v0 int) (?v1 int)) (:pat #851) #366) -#369 := (forall (vars (?v0 int) (?v1 int)) #366) -#855 := (iff #369 #852) -#853 := (iff #366 #366) -#854 := [refl]: #853 -#856 := [quant-intro #854]: #855 -#147 := (* -1::int #141) -#326 := (ite #308 #30 #147) -#329 := (ite #12 0::int #326) -#332 := (ite #13 #8 #329) -#335 := (= #29 #332) -#338 := (forall (vars (?v0 int) (?v1 int)) #335) -#370 := (iff #338 #369) -#367 := (iff #335 #366) -#368 := [rewrite]: #367 -#371 := [quant-intro #368]: #370 -#116 := (not #115) -#109 := (not #108) -#119 := (and #109 #116) -#105 := (not #104) -#112 := (and #105 #109) -#122 := (or #112 #119) -#167 := (ite #122 #30 #147) -#170 := (ite #12 0::int #167) -#173 := (ite #13 #8 #170) -#176 := (= #29 #173) -#179 := (forall (vars (?v0 int) (?v1 int)) #176) -#339 := (iff #179 #338) -#336 := (iff #176 #335) -#333 := (= #173 #332) -#330 := (= #170 #329) -#327 := (= #167 #326) -#311 := (iff #122 #308) -#305 := (or #302 #285) -#309 := (iff #305 #308) -#310 := [rewrite]: #309 -#306 := (iff #122 #305) -#303 := (iff #119 #285) -#304 := [rewrite]: #303 -#282 := (iff #112 #302) -#283 := [rewrite]: #282 -#307 := [monotonicity #283 #304]: #306 -#312 := [trans #307 #310]: #311 -#328 := [monotonicity #312]: #327 -#331 := [monotonicity #328]: #330 -#334 := [monotonicity #331]: #333 -#337 := [monotonicity #334]: #336 -#340 := [quant-intro #337]: #339 -#274 := (~ #179 #179) -#271 := (~ #176 #176) -#290 := [refl]: #271 -#275 := [nnf-pos #290]: #274 -#23 := (- #9) -#22 := (- #8) -#31 := (mod #22 #23) -#32 := (- #31) -#16 := (< 0::int #9) -#18 := (< #8 0::int) -#19 := (and #18 #16) -#15 := (< 0::int #8) -#17 := (and #15 #16) -#20 := (or #17 #19) -#33 := (ite #20 #30 #32) -#34 := (ite #12 0::int #33) -#35 := (ite #13 #8 #34) -#36 := (= #29 #35) -#37 := (forall (vars (?v0 int) (?v1 int)) #36) -#182 := (iff #37 #179) -#76 := (and #16 #18) -#79 := (or #17 #76) -#152 := (ite #79 #30 #147) -#155 := (ite #12 0::int #152) -#158 := (ite #13 #8 #155) -#161 := (= #29 #158) -#164 := (forall (vars (?v0 int) (?v1 int)) #161) -#180 := (iff #164 #179) -#177 := (iff #161 #176) -#174 := (= #158 #173) -#171 := (= #155 #170) -#168 := (= #152 #167) -#123 := (iff #79 #122) -#120 := (iff #76 #119) -#117 := (iff #18 #116) -#118 := [rewrite]: #117 -#110 := (iff #16 #109) -#111 := [rewrite]: #110 -#121 := [monotonicity #111 #118]: #120 -#113 := (iff #17 #112) -#106 := (iff #15 #105) -#107 := [rewrite]: #106 -#114 := [monotonicity #107 #111]: #113 -#124 := [monotonicity #114 #121]: #123 -#169 := [monotonicity #124]: #168 -#172 := [monotonicity #169]: #171 -#175 := [monotonicity #172]: #174 -#178 := [monotonicity #175]: #177 -#181 := [quant-intro #178]: #180 -#165 := (iff #37 #164) -#162 := (iff #36 #161) -#159 := (= #35 #158) -#156 := (= #34 #155) -#153 := (= #33 #152) -#150 := (= #32 #147) -#144 := (- #141) -#148 := (= #144 #147) -#149 := [rewrite]: #148 -#145 := (= #32 #144) -#142 := (= #31 #141) -#87 := (= #23 #86) -#88 := [rewrite]: #87 -#84 := (= #22 #83) -#85 := [rewrite]: #84 -#143 := [monotonicity #85 #88]: #142 -#146 := [monotonicity #143]: #145 -#151 := [trans #146 #149]: #150 -#80 := (iff #20 #79) -#77 := (iff #19 #76) -#78 := [rewrite]: #77 -#81 := [monotonicity #78]: #80 -#154 := [monotonicity #81 #151]: #153 -#157 := [monotonicity #154]: #156 -#160 := [monotonicity #157]: #159 -#163 := [monotonicity #160]: #162 -#166 := [quant-intro #163]: #165 -#183 := [trans #166 #181]: #182 -#140 := [asserted]: #37 -#184 := [mp #140 #183]: #179 -#291 := [mp~ #184 #275]: #179 -#341 := [mp #291 #340]: #338 -#372 := [mp #341 #371]: #369 -#857 := [mp #372 #856]: #852 -#777 := (not #852) -#662 := (or #777 #832) -#430 := (* -1::int 3::int) -#515 := (mod #430 #430) -#516 := (+ #54 #515) -#517 := (= #516 0::int) -#508 := (mod 3::int 3::int) -#519 := (* -1::int #508) -#520 := (+ #54 #519) -#448 := (= #520 0::int) -#521 := (<= 3::int 0::int) -#518 := (or #521 #521) -#522 := (not #518) -#501 := (>= 3::int 0::int) -#836 := (or #521 #501) -#838 := (not #836) -#495 := (or #838 #522) -#625 := (ite #495 #448 #517) -#506 := (= 3::int 0::int) -#507 := (ite #506 #832 #625) -#839 := (= 3::int #54) -#840 := (ite #506 #839 #507) -#677 := (or #777 #840) -#680 := (iff #677 #662) -#681 := (iff #662 #662) -#682 := [rewrite]: #681 -#773 := (iff #840 #832) -#843 := (= #54 3::int) -#668 := (ite false #843 #832) -#776 := (iff #668 #832) -#678 := [rewrite]: #776 -#669 := (iff #840 #668) -#785 := (iff #507 #832) -#780 := (ite false #832 #832) -#784 := (iff #780 #832) -#782 := [rewrite]: #784 -#781 := (iff #507 #780) -#626 := (iff #625 #832) -#1 := true -#793 := (ite true #832 #832) -#795 := (iff #793 #832) -#624 := [rewrite]: #795 -#794 := (iff #625 #793) -#786 := (iff #517 #832) -#791 := (= #516 #54) -#807 := (+ #54 0::int) -#805 := (= #807 #54) -#809 := [rewrite]: #805 -#789 := (= #516 #807) -#646 := (= #515 0::int) -#801 := -3::int -#802 := (mod -3::int -3::int) -#804 := (= #802 0::int) -#645 := [rewrite]: #804 -#803 := (= #515 #802) -#796 := (= #430 -3::int) -#797 := [rewrite]: #796 -#798 := [monotonicity #797 #797]: #803 -#647 := [trans #798 #645]: #646 -#790 := [monotonicity #647]: #789 -#792 := [trans #790 #809]: #791 -#787 := [monotonicity #792]: #786 -#799 := (iff #448 #832) -#806 := (= #520 #54) -#808 := (= #520 #807) -#528 := (= #519 0::int) -#815 := (* -1::int 0::int) -#526 := (= #815 0::int) -#527 := [rewrite]: #526 -#812 := (= #519 #815) -#537 := (= #508 0::int) -#811 := [rewrite]: #537 -#816 := [monotonicity #811]: #812 -#529 := [trans #816 #527]: #528 -#523 := [monotonicity #529]: #808 -#810 := [trans #523 #809]: #806 -#800 := [monotonicity #810]: #799 -#814 := (iff #495 true) -#835 := (or false true) -#482 := (iff #835 true) -#483 := [rewrite]: #482 -#436 := (iff #495 #835) -#542 := (iff #522 true) -#831 := (not false) -#540 := (iff #831 true) -#541 := [rewrite]: #540 -#817 := (iff #522 #831) -#830 := (iff #518 false) -#464 := (or false false) -#469 := (iff #464 false) -#470 := [rewrite]: #469 -#827 := (iff #518 #464) -#493 := (iff #521 false) -#498 := [rewrite]: #493 -#829 := [monotonicity #498 #498]: #827 -#828 := [trans #829 #470]: #830 -#818 := [monotonicity #828]: #817 -#543 := [trans #818 #541]: #542 -#820 := (iff #838 false) -#821 := (not true) -#824 := (iff #821 false) -#825 := [rewrite]: #824 -#822 := (iff #838 #821) -#484 := (iff #836 true) -#478 := (iff #836 #835) -#834 := (iff #501 true) -#494 := [rewrite]: #834 -#819 := [monotonicity #498 #494]: #478 -#485 := [trans #819 #483]: #484 -#823 := [monotonicity #485]: #822 -#826 := [trans #823 #825]: #820 -#813 := [monotonicity #826 #543]: #436 -#536 := [trans #813 #483]: #814 -#788 := [monotonicity #536 #800 #787]: #794 -#627 := [trans #788 #624]: #626 -#841 := (iff #506 false) -#842 := [rewrite]: #841 -#783 := [monotonicity #842 #627]: #781 -#667 := [trans #783 #782]: #785 -#837 := (iff #839 #843) -#833 := [rewrite]: #837 -#628 := [monotonicity #842 #833 #667]: #669 -#774 := [trans #628 #678]: #773 -#673 := [monotonicity #774]: #680 -#683 := [trans #673 #682]: #680 -#679 := [quant-inst]: #677 -#684 := [mp #679 #683]: #662 -#704 := [unit-resolution #684 #857]: #832 -#700 := [monotonicity #704]: #57 -#58 := (not #57) -#270 := [asserted]: #58 -[unit-resolution #270 #700]: false -unsat -29a274d82d7dfcc17be98231a7a95a9ec14cd706 533 0 +ca0580f7bff73a2d860730ec786524526e0ba0ea 533 0 #2 := false #55 := 3::int decl f6 :: (-> S2 int) @@ -21029,7 +21029,7 @@ #594 := [unit-resolution #608 #604]: #802 [th-lemma #594 #286 #627 #636]: false unsat -7c27e22543c792c36da02bc4168bcd3f7ce7432d 961 0 +a9c34a43767d7d2678eb5dde12b17fe190a6efe1 961 0 #2 := false decl f5 :: (-> int S2) decl f6 :: (-> S2 int) @@ -21991,7 +21991,7 @@ #1225 := [trans #1224 #1218]: #301 [unit-resolution #309 #1225]: false unsat -914ab31d83892bfaa2a8848c9049be9e1ce2cb06 671 0 +5967f5c1592ecf001d4f064122298df3a0ca76b7 671 0 #2 := false decl f6 :: (-> S2 int) decl f5 :: (-> int S2) @@ -22663,7 +22663,7 @@ #507 := [unit-resolution #504 #503]: #806 [unit-resolution #507 #477]: false unsat -85ac6a29deaf91400dbfbdf638baba5914d49e18 60 0 +b7e0eef92ca8fea2ccc91684e833dc3dce9b2d04 60 0 #2 := false #13 := 0::int decl f4 :: (-> S2 int) @@ -22724,7 +22724,68 @@ #630 := [unit-resolution #632 #631]: #266 [th-lemma #159 #629 #630]: false unsat -d84df414dbdb37289879fadf547b4a4bc9c68951 60 0 +5617bc6b938b986893bfcfa7ce1760c2311e1366 60 0 +#2 := false +#13 := 0::int +decl f4 :: (-> S2 int) +decl f6 :: S2 +#27 := f6 +#28 := (f4 f6) +decl f5 :: S2 +#25 := f5 +#26 := (f4 f5) +#137 := -1::int +#138 := (* -1::int #28) +#139 := (+ #26 #138) +#140 := (<= #139 0::int) +#143 := (ite #140 #26 #28) +#150 := (* -1::int #143) +#151 := (+ #28 #150) +#149 := (>= #151 0::int) +#156 := (not #149) +#29 := (<= #26 #28) +#30 := (ite #29 #26 #28) +#31 := (<= #30 #28) +#32 := (not #31) +#157 := (iff #32 #156) +#154 := (iff #31 #149) +#146 := (<= #143 #28) +#152 := (iff #146 #149) +#153 := [rewrite]: #152 +#147 := (iff #31 #146) +#144 := (= #30 #143) +#141 := (iff #29 #140) +#142 := [rewrite]: #141 +#145 := [monotonicity #142]: #144 +#148 := [monotonicity #145]: #147 +#155 := [trans #148 #153]: #154 +#158 := [monotonicity #155]: #157 +#134 := [asserted]: #32 +#159 := [mp #134 #158]: #156 +#317 := (= #28 #143) +#232 := (not #140) +#625 := [hypothesis]: #140 +#637 := (+ #26 #150) +#624 := (>= #637 0::int) +#231 := (= #26 #143) +#318 := (or #232 #231) +#319 := [def-axiom]: #318 +#626 := [unit-resolution #319 #625]: #231 +#627 := (not #231) +#622 := (or #627 #624) +#628 := [th-lemma]: #622 +#266 := [unit-resolution #628 #626]: #624 +#629 := [th-lemma #266 #159 #625]: false +#631 := [lemma #629]: #232 +#310 := (or #140 #317) +#321 := [def-axiom]: #310 +#271 := [unit-resolution #321 #631]: #317 +#272 := (not #317) +#632 := (or #272 #149) +#630 := [th-lemma]: #632 +[unit-resolution #630 #271 #159]: false +unsat +050c8f359b390869bd7cdf1db28b2773829a0360 60 0 #2 := false #13 := 0::int decl f4 :: (-> S2 int) @@ -22785,129 +22846,7 @@ #630 := [th-lemma]: #632 [unit-resolution #630 #271 #159]: false unsat -ec431e8216f1d8b2f670cdb0885c1e07fa83e950 60 0 -#2 := false -#13 := 0::int -decl f4 :: (-> S2 int) -decl f6 :: S2 -#27 := f6 -#28 := (f4 f6) -decl f5 :: S2 -#25 := f5 -#26 := (f4 f5) -#137 := -1::int -#138 := (* -1::int #28) -#139 := (+ #26 #138) -#140 := (<= #139 0::int) -#143 := (ite #140 #26 #28) -#150 := (* -1::int #143) -#151 := (+ #28 #150) -#149 := (>= #151 0::int) -#156 := (not #149) -#29 := (<= #26 #28) -#30 := (ite #29 #26 #28) -#31 := (<= #30 #28) -#32 := (not #31) -#157 := (iff #32 #156) -#154 := (iff #31 #149) -#146 := (<= #143 #28) -#152 := (iff #146 #149) -#153 := [rewrite]: #152 -#147 := (iff #31 #146) -#144 := (= #30 #143) -#141 := (iff #29 #140) -#142 := [rewrite]: #141 -#145 := [monotonicity #142]: #144 -#148 := [monotonicity #145]: #147 -#155 := [trans #148 #153]: #154 -#158 := [monotonicity #155]: #157 -#134 := [asserted]: #32 -#159 := [mp #134 #158]: #156 -#317 := (= #28 #143) -#232 := (not #140) -#625 := [hypothesis]: #140 -#637 := (+ #26 #150) -#624 := (>= #637 0::int) -#231 := (= #26 #143) -#318 := (or #232 #231) -#319 := [def-axiom]: #318 -#626 := [unit-resolution #319 #625]: #231 -#627 := (not #231) -#622 := (or #627 #624) -#628 := [th-lemma]: #622 -#266 := [unit-resolution #628 #626]: #624 -#629 := [th-lemma #266 #159 #625]: false -#631 := [lemma #629]: #232 -#310 := (or #140 #317) -#321 := [def-axiom]: #310 -#271 := [unit-resolution #321 #631]: #317 -#272 := (not #317) -#632 := (or #272 #149) -#630 := [th-lemma]: #632 -[unit-resolution #630 #271 #159]: false -unsat -2abc216904909a8ab09db7d8ddd5116874c405b2 60 0 -#2 := false -#13 := 0::int -decl f4 :: (-> S2 int) -decl f6 :: S2 -#27 := f6 -#28 := (f4 f6) -decl f5 :: S2 -#25 := f5 -#26 := (f4 f5) -#137 := -1::int -#140 := (* -1::int #28) -#141 := (+ #26 #140) -#139 := (>= #141 0::int) -#143 := (ite #139 #26 #28) -#149 := (* -1::int #143) -#637 := (+ #28 #149) -#628 := (<= #637 0::int) -#317 := (= #28 #143) -#232 := (not #139) -#231 := (= #26 #143) -#624 := (not #231) -#150 := (+ #26 #149) -#151 := (<= #150 0::int) -#156 := (not #151) -#29 := (<= #28 #26) -#30 := (ite #29 #26 #28) -#31 := (<= #26 #30) -#32 := (not #31) -#157 := (iff #32 #156) -#154 := (iff #31 #151) -#146 := (<= #26 #143) -#152 := (iff #146 #151) -#153 := [rewrite]: #152 -#147 := (iff #31 #146) -#144 := (= #30 #143) -#138 := (iff #29 #139) -#142 := [rewrite]: #138 -#145 := [monotonicity #142]: #144 -#148 := [monotonicity #145]: #147 -#155 := [trans #148 #153]: #154 -#158 := [monotonicity #155]: #157 -#134 := [asserted]: #32 -#159 := [mp #134 #158]: #156 -#280 := [hypothesis]: #231 -#625 := (or #624 #151) -#626 := [th-lemma]: #625 -#627 := [unit-resolution #626 #280 #159]: false -#622 := [lemma #627]: #624 -#318 := (or #232 #231) -#319 := [def-axiom]: #318 -#629 := [unit-resolution #319 #622]: #232 -#310 := (or #139 #317) -#321 := [def-axiom]: #310 -#631 := [unit-resolution #321 #629]: #317 -#271 := (not #317) -#272 := (or #271 #628) -#632 := [th-lemma]: #272 -#630 := [unit-resolution #632 #631]: #628 -[th-lemma #159 #629 #630]: false -unsat -db10b3baed96f5ad894a70d823fdba86b4614481 253 0 +04cc411b96731925afb67c561af17d4cb6d68cf0 253 0 #2 := false #13 := 0::int decl f4 :: (-> S2 int) @@ -23161,7 +23100,172 @@ #473 := [lemma #472]: #233 [unit-resolution #631 #473 #487]: false unsat -14969492cac173e86b554790b2b1280f30825e8b 437 0 +80aafa9ce13a262b7746b90465ebd387a9798fb0 60 0 +#2 := false +#13 := 0::int +decl f4 :: (-> S2 int) +decl f6 :: S2 +#27 := f6 +#28 := (f4 f6) +decl f5 :: S2 +#25 := f5 +#26 := (f4 f5) +#137 := -1::int +#140 := (* -1::int #28) +#141 := (+ #26 #140) +#139 := (>= #141 0::int) +#143 := (ite #139 #26 #28) +#149 := (* -1::int #143) +#637 := (+ #28 #149) +#628 := (<= #637 0::int) +#317 := (= #28 #143) +#232 := (not #139) +#231 := (= #26 #143) +#624 := (not #231) +#150 := (+ #26 #149) +#151 := (<= #150 0::int) +#156 := (not #151) +#29 := (<= #28 #26) +#30 := (ite #29 #26 #28) +#31 := (<= #26 #30) +#32 := (not #31) +#157 := (iff #32 #156) +#154 := (iff #31 #151) +#146 := (<= #26 #143) +#152 := (iff #146 #151) +#153 := [rewrite]: #152 +#147 := (iff #31 #146) +#144 := (= #30 #143) +#138 := (iff #29 #139) +#142 := [rewrite]: #138 +#145 := [monotonicity #142]: #144 +#148 := [monotonicity #145]: #147 +#155 := [trans #148 #153]: #154 +#158 := [monotonicity #155]: #157 +#134 := [asserted]: #32 +#159 := [mp #134 #158]: #156 +#280 := [hypothesis]: #231 +#625 := (or #624 #151) +#626 := [th-lemma]: #625 +#627 := [unit-resolution #626 #280 #159]: false +#622 := [lemma #627]: #624 +#318 := (or #232 #231) +#319 := [def-axiom]: #318 +#629 := [unit-resolution #319 #622]: #232 +#310 := (or #139 #317) +#321 := [def-axiom]: #310 +#631 := [unit-resolution #321 #629]: #317 +#271 := (not #317) +#272 := (or #271 #628) +#632 := [th-lemma]: #272 +#630 := [unit-resolution #632 #631]: #628 +[th-lemma #159 #629 #630]: false +unsat +afcf8a254d165c5e9d701ed584fa3d55dcc74a09 103 0 +#2 := false +#13 := 0::int +decl f4 :: (-> S2 int) +decl f7 :: S2 +#30 := f7 +#31 := (f4 f7) +decl f6 :: S2 +#27 := f6 +#28 := (f4 f6) +#143 := -1::int +#146 := (* -1::int #31) +#150 := (+ #28 #146) +#151 := (<= #150 0::int) +#154 := (ite #151 #28 #31) +#162 := (* -1::int #154) +decl f5 :: S2 +#25 := f5 +#26 := (f4 f5) +#163 := (+ #26 #162) +#161 := (>= #163 0::int) +#177 := (* -1::int #28) +#178 := (+ #26 #177) +#176 := (>= #178 0::int) +#175 := (not #176) +#147 := (+ #26 #146) +#145 := (>= #147 0::int) +#144 := (not #145) +#187 := (and #144 #161 #175) +#33 := (<= #28 #31) +#34 := (ite #33 #28 #31) +#35 := (< #26 #34) +#36 := (not #35) +#32 := (< #26 #31) +#37 := (and #32 #36) +#29 := (< #26 #28) +#38 := (and #29 #37) +#190 := (iff #38 #187) +#181 := (and #144 #161) +#184 := (and #175 #181) +#188 := (iff #184 #187) +#189 := [rewrite]: #188 +#185 := (iff #38 #184) +#182 := (iff #37 #181) +#173 := (iff #36 #161) +#160 := (not #161) +#168 := (not #160) +#171 := (iff #168 #161) +#172 := [rewrite]: #171 +#169 := (iff #36 #168) +#166 := (iff #35 #160) +#157 := (< #26 #154) +#164 := (iff #157 #160) +#165 := [rewrite]: #164 +#158 := (iff #35 #157) +#155 := (= #34 #154) +#152 := (iff #33 #151) +#153 := [rewrite]: #152 +#156 := [monotonicity #153]: #155 +#159 := [monotonicity #156]: #158 +#167 := [trans #159 #165]: #166 +#170 := [monotonicity #167]: #169 +#174 := [trans #170 #172]: #173 +#148 := (iff #32 #144) +#149 := [rewrite]: #148 +#183 := [monotonicity #149 #174]: #182 +#179 := (iff #29 #175) +#180 := [rewrite]: #179 +#186 := [monotonicity #180 #183]: #185 +#191 := [trans #186 #189]: #190 +#140 := [asserted]: #38 +#192 := [mp #140 #191]: #187 +#194 := [and-elim #192]: #161 +#193 := [and-elim #192]: #144 +#365 := (+ #31 #162) +#638 := (<= #365 0::int) +#353 := (= #31 #154) +#268 := (not #151) +#267 := (= #28 #154) +#643 := (not #267) +#652 := (+ #28 #162) +#374 := (<= #652 0::int) +#645 := (not #374) +#195 := [and-elim #192]: #175 +#366 := [hypothesis]: #374 +#367 := [th-lemma #366 #195 #194]: false +#646 := [lemma #367]: #645 +#361 := [hypothesis]: #267 +#647 := (or #643 #374) +#644 := [th-lemma]: #647 +#648 := [unit-resolution #644 #361 #646]: false +#637 := [lemma #648]: #643 +#354 := (or #268 #267) +#355 := [def-axiom]: #354 +#634 := [unit-resolution #355 #637]: #268 +#346 := (or #151 #353) +#357 := [def-axiom]: #346 +#635 := [unit-resolution #357 #634]: #353 +#640 := (not #353) +#641 := (or #640 #638) +#636 := [th-lemma]: #641 +#642 := [unit-resolution #636 #635]: #638 +[th-lemma #642 #193 #194]: false +unsat +b9568adc9ac22f504348a42395408d6d8271d777 437 0 #2 := false #13 := 0::int decl f4 :: (-> S2 int) @@ -23599,111 +23703,7 @@ #462 := [unit-resolution #492 #479]: #669 [th-lemma #462 #528 #194 #475 #461]: false unsat -89bc3a6333da51700f7daac14eb84da9abc113a1 103 0 -#2 := false -#13 := 0::int -decl f4 :: (-> S2 int) -decl f7 :: S2 -#30 := f7 -#31 := (f4 f7) -decl f6 :: S2 -#27 := f6 -#28 := (f4 f6) -#143 := -1::int -#146 := (* -1::int #31) -#150 := (+ #28 #146) -#151 := (<= #150 0::int) -#154 := (ite #151 #28 #31) -#162 := (* -1::int #154) -decl f5 :: S2 -#25 := f5 -#26 := (f4 f5) -#163 := (+ #26 #162) -#161 := (>= #163 0::int) -#177 := (* -1::int #28) -#178 := (+ #26 #177) -#176 := (>= #178 0::int) -#175 := (not #176) -#147 := (+ #26 #146) -#145 := (>= #147 0::int) -#144 := (not #145) -#187 := (and #144 #161 #175) -#33 := (<= #28 #31) -#34 := (ite #33 #28 #31) -#35 := (< #26 #34) -#36 := (not #35) -#32 := (< #26 #31) -#37 := (and #32 #36) -#29 := (< #26 #28) -#38 := (and #29 #37) -#190 := (iff #38 #187) -#181 := (and #144 #161) -#184 := (and #175 #181) -#188 := (iff #184 #187) -#189 := [rewrite]: #188 -#185 := (iff #38 #184) -#182 := (iff #37 #181) -#173 := (iff #36 #161) -#160 := (not #161) -#168 := (not #160) -#171 := (iff #168 #161) -#172 := [rewrite]: #171 -#169 := (iff #36 #168) -#166 := (iff #35 #160) -#157 := (< #26 #154) -#164 := (iff #157 #160) -#165 := [rewrite]: #164 -#158 := (iff #35 #157) -#155 := (= #34 #154) -#152 := (iff #33 #151) -#153 := [rewrite]: #152 -#156 := [monotonicity #153]: #155 -#159 := [monotonicity #156]: #158 -#167 := [trans #159 #165]: #166 -#170 := [monotonicity #167]: #169 -#174 := [trans #170 #172]: #173 -#148 := (iff #32 #144) -#149 := [rewrite]: #148 -#183 := [monotonicity #149 #174]: #182 -#179 := (iff #29 #175) -#180 := [rewrite]: #179 -#186 := [monotonicity #180 #183]: #185 -#191 := [trans #186 #189]: #190 -#140 := [asserted]: #38 -#192 := [mp #140 #191]: #187 -#194 := [and-elim #192]: #161 -#193 := [and-elim #192]: #144 -#365 := (+ #31 #162) -#638 := (<= #365 0::int) -#353 := (= #31 #154) -#268 := (not #151) -#267 := (= #28 #154) -#643 := (not #267) -#652 := (+ #28 #162) -#374 := (<= #652 0::int) -#645 := (not #374) -#195 := [and-elim #192]: #175 -#366 := [hypothesis]: #374 -#367 := [th-lemma #366 #195 #194]: false -#646 := [lemma #367]: #645 -#361 := [hypothesis]: #267 -#647 := (or #643 #374) -#644 := [th-lemma]: #647 -#648 := [unit-resolution #644 #361 #646]: false -#637 := [lemma #648]: #643 -#354 := (or #268 #267) -#355 := [def-axiom]: #354 -#634 := [unit-resolution #355 #637]: #268 -#346 := (or #151 #353) -#357 := [def-axiom]: #346 -#635 := [unit-resolution #357 #634]: #353 -#640 := (not #353) -#641 := (or #640 #638) -#636 := [th-lemma]: #641 -#642 := [unit-resolution #636 #635]: #638 -[th-lemma #642 #193 #194]: false -unsat -c39739842d64e1dca61912be5a777a90f01e28fd 117 0 +caea920980c91680caa298496d6beb2d2bf61295 117 0 #2 := false decl f3 :: (-> int S2) decl f4 :: (-> S2 int) @@ -23821,7 +23821,7 @@ #559 := [trans #554 #555]: #162 [unit-resolution #168 #559]: false unsat -452992a55139d640bc8969517cd3166d0f13bb37 103 0 +d7b83db7c0c4e066fdea2d94e35ab3cc620d56df 103 0 #2 := false #13 := 0::int decl f4 :: (-> S2 int) @@ -23925,7 +23925,7 @@ #642 := [unit-resolution #636 #635]: #639 [th-lemma #642 #195 #194]: false unsat -c3edc6cce39c9c380e8b07a4426540e2db018197 156 0 +140237685072a702cc83b447cdc8b15858b3f321 156 0 #2 := false decl f3 :: (-> int S2) #13 := 0::int @@ -24082,7 +24082,7 @@ #134 := [asserted]: #32 [unit-resolution #134 #583]: false unsat -c2cc039657273f4c31549e108b87c8f33092d45f 119 0 +7941a5e6f861d5ba779c3ff6672cac31550af836 119 0 #2 := false decl f3 :: (-> int S2) decl f4 :: (-> S2 int) @@ -24202,7 +24202,7 @@ #540 := [trans #557 #539]: #162 [unit-resolution #168 #540]: false unsat -a6a23143d2240b5fcacf31f97f0b436ce20b01cf 164 0 +fbf28453c2565ae4248c42863556e4f8088a62a2 164 0 #2 := false decl f3 :: (-> int S2) decl f4 :: (-> S2 int) @@ -24367,7 +24367,7 @@ #142 := [mp #133 #139]: #137 [unit-resolution #142 #586]: false unsat -f5e2e20fb8c501f38b6d2f15c9fef9418df3a3f5 139 0 +c457a6610bcddee5fbeec4bb3572ce6f1d88807f 139 0 #2 := false #13 := 0::int decl f4 :: (-> S2 int) @@ -24507,25 +24507,7 @@ #260 := [th-lemma]: #618 [unit-resolution #260 #139 #617]: false unsat -88db0d3335480a81cfc5f118ecaef1678c52c57c 17 0 -#2 := false -#8 := 0::int -#9 := (= 0::int 0::int) -#10 := (not #9) -#35 := (iff #10 false) -#1 := true -#30 := (not true) -#33 := (iff #30 false) -#34 := [rewrite]: #33 -#31 := (iff #10 #30) -#28 := (iff #9 true) -#29 := [rewrite]: #28 -#32 := [monotonicity #29]: #31 -#36 := [trans #32 #34]: #35 -#27 := [asserted]: #10 -[mp #27 #36]: false -unsat -3413e63e105cab337755fe6950808ba664d2597a 75 0 +f025d25f9f9c8e38fac474962b7f2dfba4e1a07a 75 0 #2 := false decl f3 :: (-> int S2) #28 := 1::int @@ -24601,33 +24583,7 @@ #153 := [and-elim #151]: #32 [unit-resolution #153 #339]: false unsat -3bd4cf5a7808f0310fbc231a810dbf418d0f69cc 25 0 -#2 := false -#8 := 0::int -#9 := (- 0::int) -#10 := (= 0::int #9) -#11 := (not #10) -#43 := (iff #11 false) -#1 := true -#38 := (not true) -#41 := (iff #38 false) -#42 := [rewrite]: #41 -#39 := (iff #11 #38) -#36 := (iff #10 true) -#31 := (= 0::int 0::int) -#34 := (iff #31 true) -#35 := [rewrite]: #34 -#32 := (iff #10 #31) -#29 := (= #9 0::int) -#30 := [rewrite]: #29 -#33 := [monotonicity #30]: #32 -#37 := [trans #33 #35]: #36 -#40 := [monotonicity #37]: #39 -#44 := [trans #40 #42]: #43 -#28 := [asserted]: #11 -[mp #28 #44]: false -unsat -7c99e4c706a5bfe7c4bac45e274e4bb5f5ba171b 20 0 +c8f2ead1c220dd8ed211af0515b88614b1941079 20 0 #2 := false decl f4 :: (-> S2 int) decl f5 :: S2 @@ -24648,25 +24604,7 @@ #130 := [asserted]: #28 [mp #130 #141]: false unsat -575466500975f7b2e0bdbc552a0711af0164ab2f 17 0 -#2 := false -#8 := 1::int -#9 := (= 1::int 1::int) -#10 := (not #9) -#35 := (iff #10 false) -#1 := true -#30 := (not true) -#33 := (iff #30 false) -#34 := [rewrite]: #33 -#31 := (iff #10 #30) -#28 := (iff #9 true) -#29 := [rewrite]: #28 -#32 := [monotonicity #29]: #31 -#36 := [trans #32 #34]: #35 -#27 := [asserted]: #10 -[mp #27 #36]: false -unsat -2c1b55c23f4e7de8da8d5f6f9bfa461e094d5fdc 319 0 +747cc264821ac8db5ad7ac37788ade0f4e407c6a 319 0 #2 := false #13 := 0::int decl f4 :: (-> S2 int) @@ -24986,83 +24924,51 @@ #507 := [unit-resolution #506 #504]: #623 [th-lemma #507 #516 #163 #162]: false unsat -a2fa5e02114a58b8161c5f17b5db7f1bd8de21cc 34 0 -#2 := false -#8 := 1::int -#9 := (- 1::int) -#10 := (= #9 1::int) +ee051bde3c817c0890ce724f834fd4253b261c0e 17 0 +#2 := false +#8 := 0::int +#9 := (= 0::int 0::int) +#10 := (not #9) +#35 := (iff #10 false) +#1 := true +#30 := (not true) +#33 := (iff #30 false) +#34 := [rewrite]: #33 +#31 := (iff #10 #30) +#28 := (iff #9 true) +#29 := [rewrite]: #28 +#32 := [monotonicity #29]: #31 +#36 := [trans #32 #34]: #35 +#27 := [asserted]: #10 +[mp #27 #36]: false +unsat +28a8e8694abd02c43e1fd53f8a8f970f52a27053 25 0 +#2 := false +#8 := 0::int +#9 := (- 0::int) +#10 := (= 0::int #9) #11 := (not #10) -#12 := (not #11) -#52 := (iff #12 false) -#1 := true -#47 := (not true) -#50 := (iff #47 false) -#51 := [rewrite]: #50 -#48 := (iff #12 #47) -#45 := (iff #11 true) -#40 := (not false) -#43 := (iff #40 true) -#44 := [rewrite]: #43 -#41 := (iff #11 #40) -#38 := (iff #10 false) -#30 := -1::int -#33 := (= -1::int 1::int) -#36 := (iff #33 false) -#37 := [rewrite]: #36 -#34 := (iff #10 #33) -#31 := (= #9 -1::int) -#32 := [rewrite]: #31 -#35 := [monotonicity #32]: #34 -#39 := [trans #35 #37]: #38 -#42 := [monotonicity #39]: #41 -#46 := [trans #42 #44]: #45 -#49 := [monotonicity #46]: #48 -#53 := [trans #49 #51]: #52 -#29 := [asserted]: #12 -[mp #29 #53]: false -unsat -833da25c34dad32196cafeb37ee24e9c4b09f5e6 40 0 -#2 := false -#12 := 567::int -#10 := 345::int -#8 := 123::int -#9 := (- 123::int) -#11 := (+ #9 345::int) -#13 := (< #11 567::int) -#14 := (not #13) -#58 := (iff #14 false) -#38 := 222::int -#43 := (< 222::int 567::int) -#46 := (not #43) -#56 := (iff #46 false) -#1 := true -#51 := (not true) -#54 := (iff #51 false) -#55 := [rewrite]: #54 -#52 := (iff #46 #51) -#49 := (iff #43 true) -#50 := [rewrite]: #49 -#53 := [monotonicity #50]: #52 -#57 := [trans #53 #55]: #56 -#47 := (iff #14 #46) -#44 := (iff #13 #43) -#41 := (= #11 222::int) -#32 := -123::int -#35 := (+ -123::int 345::int) -#39 := (= #35 222::int) -#40 := [rewrite]: #39 -#36 := (= #11 #35) -#33 := (= #9 -123::int) -#34 := [rewrite]: #33 -#37 := [monotonicity #34]: #36 -#42 := [trans #37 #40]: #41 -#45 := [monotonicity #42]: #44 -#48 := [monotonicity #45]: #47 -#59 := [trans #48 #57]: #58 -#31 := [asserted]: #14 -[mp #31 #59]: false -unsat -b1d5ad1c199444dbf6fe73759c2c90d7c60b146e 325 0 +#43 := (iff #11 false) +#1 := true +#38 := (not true) +#41 := (iff #38 false) +#42 := [rewrite]: #41 +#39 := (iff #11 #38) +#36 := (iff #10 true) +#31 := (= 0::int 0::int) +#34 := (iff #31 true) +#35 := [rewrite]: #34 +#32 := (iff #10 #31) +#29 := (= #9 0::int) +#30 := [rewrite]: #29 +#33 := [monotonicity #30]: #32 +#37 := [trans #33 #35]: #36 +#40 := [monotonicity #37]: #39 +#44 := [trans #40 #42]: #43 +#28 := [asserted]: #11 +[mp #28 #44]: false +unsat +0df3e9ed226dfff3cefc71e4bc79cb937d7b5379 325 0 #2 := false #13 := 0::int decl f4 :: (-> S2 int) @@ -25388,38 +25294,60 @@ #515 := [th-lemma]: #519 [unit-resolution #515 #510 #517]: false unsat -94a3c69e40ab8834fda1414aac36766b6e6d0448 30 0 -#2 := false -#10 := 2345678901::int -#8 := 123456789::int -#9 := (- 123456789::int) -#11 := (< #9 2345678901::int) +7e2eed6546d767248580207671baf3c1fef46bda 17 0 +#2 := false +#8 := 1::int +#9 := (= 1::int 1::int) +#10 := (not #9) +#35 := (iff #10 false) +#1 := true +#30 := (not true) +#33 := (iff #30 false) +#34 := [rewrite]: #33 +#31 := (iff #10 #30) +#28 := (iff #9 true) +#29 := [rewrite]: #28 +#32 := [monotonicity #29]: #31 +#36 := [trans #32 #34]: #35 +#27 := [asserted]: #10 +[mp #27 #36]: false +unsat +83be50b0dfcaa8788a3a347c206dfe65b71396c0 34 0 +#2 := false +#8 := 1::int +#9 := (- 1::int) +#10 := (= #9 1::int) +#11 := (not #10) #12 := (not #11) -#48 := (iff #12 false) -#30 := -123456789::int -#33 := (< -123456789::int 2345678901::int) -#36 := (not #33) -#46 := (iff #36 false) -#1 := true -#41 := (not true) -#44 := (iff #41 false) -#45 := [rewrite]: #44 -#42 := (iff #36 #41) -#39 := (iff #33 true) -#40 := [rewrite]: #39 -#43 := [monotonicity #40]: #42 -#47 := [trans #43 #45]: #46 -#37 := (iff #12 #36) -#34 := (iff #11 #33) -#31 := (= #9 -123456789::int) +#52 := (iff #12 false) +#1 := true +#47 := (not true) +#50 := (iff #47 false) +#51 := [rewrite]: #50 +#48 := (iff #12 #47) +#45 := (iff #11 true) +#40 := (not false) +#43 := (iff #40 true) +#44 := [rewrite]: #43 +#41 := (iff #11 #40) +#38 := (iff #10 false) +#30 := -1::int +#33 := (= -1::int 1::int) +#36 := (iff #33 false) +#37 := [rewrite]: #36 +#34 := (iff #10 #33) +#31 := (= #9 -1::int) #32 := [rewrite]: #31 #35 := [monotonicity #32]: #34 -#38 := [monotonicity #35]: #37 -#49 := [trans #38 #47]: #48 +#39 := [trans #35 #37]: #38 +#42 := [monotonicity #39]: #41 +#46 := [trans #42 #44]: #45 +#49 := [monotonicity #46]: #48 +#53 := [trans #49 #51]: #52 #29 := [asserted]: #12 -[mp #29 #49]: false -unsat -a489de1c5d2012bec455302dfb4702c1a1df77d2 38 0 +[mp #29 #53]: false +unsat +87afea5c9ab9449c41123c8fdd4e20f06a72b155 38 0 #2 := false #13 := 0::int decl f4 :: (-> S2 int) @@ -25458,61 +25386,79 @@ #228 := [unit-resolution #313 #154]: #144 [unit-resolution #228 #155]: false unsat -44da310bca35772c7c4ab7b6f9468b0cf95baf9e 26 0 -#2 := false -decl f3 :: int -#8 := f3 -#9 := 0::int -#10 := (+ f3 0::int) -#11 := (= #10 f3) +6b06bc907860e099747eaf937729c46239164204 40 0 +#2 := false +#12 := 567::int +#10 := 345::int +#8 := 123::int +#9 := (- 123::int) +#11 := (+ #9 345::int) +#13 := (< #11 567::int) +#14 := (not #13) +#58 := (iff #14 false) +#38 := 222::int +#43 := (< 222::int 567::int) +#46 := (not #43) +#56 := (iff #46 false) +#1 := true +#51 := (not true) +#54 := (iff #51 false) +#55 := [rewrite]: #54 +#52 := (iff #46 #51) +#49 := (iff #43 true) +#50 := [rewrite]: #49 +#53 := [monotonicity #50]: #52 +#57 := [trans #53 #55]: #56 +#47 := (iff #14 #46) +#44 := (iff #13 #43) +#41 := (= #11 222::int) +#32 := -123::int +#35 := (+ -123::int 345::int) +#39 := (= #35 222::int) +#40 := [rewrite]: #39 +#36 := (= #11 #35) +#33 := (= #9 -123::int) +#34 := [rewrite]: #33 +#37 := [monotonicity #34]: #36 +#42 := [trans #37 #40]: #41 +#45 := [monotonicity #42]: #44 +#48 := [monotonicity #45]: #47 +#59 := [trans #48 #57]: #58 +#31 := [asserted]: #14 +[mp #31 #59]: false +unsat +b28c9714ddda449b19d3e58f8860da63f62b1deb 30 0 +#2 := false +#10 := 2345678901::int +#8 := 123456789::int +#9 := (- 123456789::int) +#11 := (< #9 2345678901::int) #12 := (not #11) -#43 := (iff #12 false) -#1 := true -#38 := (not true) -#41 := (iff #38 false) -#42 := [rewrite]: #41 -#39 := (iff #12 #38) -#36 := (iff #11 true) -#31 := (= f3 f3) -#34 := (iff #31 true) -#35 := [rewrite]: #34 -#32 := (iff #11 #31) -#30 := [rewrite]: #11 -#33 := [monotonicity #30]: #32 -#37 := [trans #33 #35]: #36 -#40 := [monotonicity #37]: #39 -#44 := [trans #40 #42]: #43 +#48 := (iff #12 false) +#30 := -123456789::int +#33 := (< -123456789::int 2345678901::int) +#36 := (not #33) +#46 := (iff #36 false) +#1 := true +#41 := (not true) +#44 := (iff #41 false) +#45 := [rewrite]: #44 +#42 := (iff #36 #41) +#39 := (iff #33 true) +#40 := [rewrite]: #39 +#43 := [monotonicity #40]: #42 +#47 := [trans #43 #45]: #46 +#37 := (iff #12 #36) +#34 := (iff #11 #33) +#31 := (= #9 -123456789::int) +#32 := [rewrite]: #31 +#35 := [monotonicity #32]: #34 +#38 := [monotonicity #35]: #37 +#49 := [trans #38 #47]: #48 #29 := [asserted]: #12 -[mp #29 #44]: false -unsat -fed373ed1a62868b78e70bd0d9a3428669ee5457 26 0 -#2 := false -decl f3 :: int -#9 := f3 -#8 := 0::int -#10 := (+ 0::int f3) -#11 := (= #10 f3) -#12 := (not #11) -#43 := (iff #12 false) -#1 := true -#38 := (not true) -#41 := (iff #38 false) -#42 := [rewrite]: #41 -#39 := (iff #12 #38) -#36 := (iff #11 true) -#31 := (= f3 f3) -#34 := (iff #31 true) -#35 := [rewrite]: #34 -#32 := (iff #11 #31) -#30 := [rewrite]: #11 -#33 := [monotonicity #30]: #32 -#37 := [trans #33 #35]: #36 -#40 := [monotonicity #37]: #39 -#44 := [trans #40 #42]: #43 -#29 := [asserted]: #12 -[mp #29 #44]: false -unsat -957a81798a07625d9f9bb6cae6421523a9942b09 70 0 +[mp #29 #49]: false +unsat +c7398895db207a7bb660baa83c993733723b339a 70 0 #2 := false #149 := -1::int decl f4 :: (-> S2 int) @@ -25583,37 +25529,34 @@ #333 := [unit-resolution #247 #172]: #332 [unit-resolution #333 #352 #253]: false unsat -bb9d75a7a3abc7f60dd441b4f982645b6039e03e 29 0 +fbc565374e3b4fadcdcd336b454d25bde6467984 26 0 #2 := false decl f3 :: int #8 := f3 -decl f4 :: int -#9 := f4 -#11 := (+ f4 f3) -#10 := (+ f3 f4) -#12 := (= #10 #11) -#13 := (not #12) -#45 := (iff #13 false) -#1 := true -#40 := (not true) -#43 := (iff #40 false) -#44 := [rewrite]: #43 -#41 := (iff #13 #40) -#38 := (iff #12 true) -#33 := (= #10 #10) -#36 := (iff #33 true) -#37 := [rewrite]: #36 -#34 := (iff #12 #33) -#31 := (= #11 #10) -#32 := [rewrite]: #31 -#35 := [monotonicity #32]: #34 -#39 := [trans #35 #37]: #38 -#42 := [monotonicity #39]: #41 -#46 := [trans #42 #44]: #45 -#30 := [asserted]: #13 -[mp #30 #46]: false -unsat -7a80c4532f5787abddc50ad2e7bc9838390acb73 11 0 +#9 := 0::int +#10 := (+ f3 0::int) +#11 := (= #10 f3) +#12 := (not #11) +#43 := (iff #12 false) +#1 := true +#38 := (not true) +#41 := (iff #38 false) +#42 := [rewrite]: #41 +#39 := (iff #12 #38) +#36 := (iff #11 true) +#31 := (= f3 f3) +#34 := (iff #31 true) +#35 := [rewrite]: #34 +#32 := (iff #11 #31) +#30 := [rewrite]: #11 +#33 := [monotonicity #30]: #32 +#37 := [trans #33 #35]: #36 +#40 := [monotonicity #37]: #39 +#44 := [trans #40 #42]: #43 +#29 := [asserted]: #12 +[mp #29 #44]: false +unsat +1c6447ae3efd555f314253453337411963c9b538 11 0 #2 := false decl f4 :: (-> S2 int) decl f5 :: S2 @@ -25625,41 +25568,34 @@ #129 := [asserted]: #27 [mp #129 #133]: false unsat -698ca3e8d5433877845f98d57033a6d63af62497 33 0 -#2 := false -decl f5 :: int -#10 := f5 -decl f4 :: int -#9 := f4 +1e80490820921041707f27ae0a0d7240e7d720ab 26 0 +#2 := false decl f3 :: int -#8 := f3 -#13 := (+ f3 f4) -#14 := (+ #13 f5) -#11 := (+ f4 f5) -#12 := (+ f3 #11) -#15 := (= #12 #14) -#16 := (not #15) -#48 := (iff #16 false) -#1 := true -#43 := (not true) -#46 := (iff #43 false) -#47 := [rewrite]: #46 -#44 := (iff #16 #43) -#41 := (iff #15 true) -#36 := (= #12 #12) -#39 := (iff #36 true) -#40 := [rewrite]: #39 -#37 := (iff #15 #36) -#34 := (= #14 #12) +#9 := f3 +#8 := 0::int +#10 := (+ 0::int f3) +#11 := (= #10 f3) +#12 := (not #11) +#43 := (iff #12 false) +#1 := true +#38 := (not true) +#41 := (iff #38 false) +#42 := [rewrite]: #41 +#39 := (iff #12 #38) +#36 := (iff #11 true) +#31 := (= f3 f3) +#34 := (iff #31 true) #35 := [rewrite]: #34 -#38 := [monotonicity #35]: #37 -#42 := [trans #38 #40]: #41 -#45 := [monotonicity #42]: #44 -#49 := [trans #45 #47]: #48 -#33 := [asserted]: #16 -[mp #33 #49]: false -unsat -a5e0b28483c053128bc0be113d20a82250433b74 54 0 +#32 := (iff #11 #31) +#30 := [rewrite]: #11 +#33 := [monotonicity #30]: #32 +#37 := [trans #33 #35]: #36 +#40 := [monotonicity #37]: #39 +#44 := [trans #40 #42]: #43 +#29 := [asserted]: #12 +[mp #29 #44]: false +unsat +efe17b9041c87fa89222f21112652ecefaf9bedd 54 0 #2 := false #13 := 0::int decl f4 :: (-> S2 int) @@ -25714,53 +25650,37 @@ #171 := [and-elim #170]: #144 [th-lemma #171 #172 #173]: false unsat -41dc588e082dd0bed2354a8e37e9f3c6c05151c1 45 0 -#2 := false +71f4e35d43eaaeb0679a8b9fedb7bbbab02c4bce 29 0 +#2 := false +decl f3 :: int +#8 := f3 decl f4 :: int #9 := f4 -#13 := (- f4) -decl f3 :: int -#8 := f3 -#14 := (= f3 #13) -#11 := 0::int +#11 := (+ f4 f3) #10 := (+ f3 f4) -#12 := (= #10 0::int) -#15 := (iff #12 #14) -#16 := (not #15) -#62 := (iff #16 false) -#47 := (not #12) -#34 := -1::int -#35 := (* -1::int f4) -#38 := (= f3 #35) -#48 := (iff #38 #47) -#60 := (iff #48 false) -#55 := (iff #12 #47) -#58 := (iff #55 false) -#59 := [rewrite]: #58 -#56 := (iff #48 #55) -#53 := (iff #38 #12) -#54 := [rewrite]: #53 -#57 := [monotonicity #54]: #56 -#61 := [trans #57 #59]: #60 -#51 := (iff #16 #48) -#41 := (iff #12 #38) -#44 := (not #41) -#49 := (iff #44 #48) -#50 := [rewrite]: #49 -#45 := (iff #16 #44) -#42 := (iff #15 #41) -#39 := (iff #14 #38) -#36 := (= #13 #35) +#12 := (= #10 #11) +#13 := (not #12) +#45 := (iff #13 false) +#1 := true +#40 := (not true) +#43 := (iff #40 false) +#44 := [rewrite]: #43 +#41 := (iff #13 #40) +#38 := (iff #12 true) +#33 := (= #10 #10) +#36 := (iff #33 true) #37 := [rewrite]: #36 -#40 := [monotonicity #37]: #39 -#43 := [monotonicity #40]: #42 -#46 := [monotonicity #43]: #45 -#52 := [trans #46 #50]: #51 -#63 := [trans #52 #61]: #62 -#33 := [asserted]: #16 -[mp #33 #63]: false -unsat -4d82a9a048129e417a9e0a1825ce1ac4532cabd0 55 0 +#34 := (iff #12 #33) +#31 := (= #11 #10) +#32 := [rewrite]: #31 +#35 := [monotonicity #32]: #34 +#39 := [trans #35 #37]: #38 +#42 := [monotonicity #39]: #41 +#46 := [trans #42 #44]: #45 +#30 := [asserted]: #13 +[mp #30 #46]: false +unsat +c6c3e4476b55ace179a4bf0db3bd85166dd656f0 55 0 #2 := false #13 := 0::int decl f4 :: (-> S2 int) @@ -25816,7 +25736,41 @@ #172 := [and-elim #171]: #144 [th-lemma #172 #173 #174]: false unsat -839ca15e4db302dc5cd29e9aa43868c766ec1b81 55 0 +29b7b3cf808acec0133f90b0ff01d3741beb5a05 33 0 +#2 := false +decl f5 :: int +#10 := f5 +decl f4 :: int +#9 := f4 +decl f3 :: int +#8 := f3 +#13 := (+ f3 f4) +#14 := (+ #13 f5) +#11 := (+ f4 f5) +#12 := (+ f3 #11) +#15 := (= #12 #14) +#16 := (not #15) +#48 := (iff #16 false) +#1 := true +#43 := (not true) +#46 := (iff #43 false) +#47 := [rewrite]: #46 +#44 := (iff #16 #43) +#41 := (iff #15 true) +#36 := (= #12 #12) +#39 := (iff #36 true) +#40 := [rewrite]: #39 +#37 := (iff #15 #36) +#34 := (= #14 #12) +#35 := [rewrite]: #34 +#38 := [monotonicity #35]: #37 +#42 := [trans #38 #40]: #41 +#45 := [monotonicity #42]: #44 +#49 := [trans #45 #47]: #48 +#33 := [asserted]: #16 +[mp #33 #49]: false +unsat +8b0fe59ad928398852287cdf2c2184de1f57bfbd 55 0 #2 := false #13 := 0::int decl f4 :: (-> S2 int) @@ -25872,7 +25826,53 @@ #173 := [and-elim #171]: #152 [th-lemma #173 #172 #174]: false unsat -d7837998c869430b9e700142d2b377bead7796dc 26 0 +4237cbb86bd8822b359c36bc821360aed38710bb 45 0 +#2 := false +decl f4 :: int +#9 := f4 +#13 := (- f4) +decl f3 :: int +#8 := f3 +#14 := (= f3 #13) +#11 := 0::int +#10 := (+ f3 f4) +#12 := (= #10 0::int) +#15 := (iff #12 #14) +#16 := (not #15) +#62 := (iff #16 false) +#47 := (not #12) +#34 := -1::int +#35 := (* -1::int f4) +#38 := (= f3 #35) +#48 := (iff #38 #47) +#60 := (iff #48 false) +#55 := (iff #12 #47) +#58 := (iff #55 false) +#59 := [rewrite]: #58 +#56 := (iff #48 #55) +#53 := (iff #38 #12) +#54 := [rewrite]: #53 +#57 := [monotonicity #54]: #56 +#61 := [trans #57 #59]: #60 +#51 := (iff #16 #48) +#41 := (iff #12 #38) +#44 := (not #41) +#49 := (iff #44 #48) +#50 := [rewrite]: #49 +#45 := (iff #16 #44) +#42 := (iff #15 #41) +#39 := (iff #14 #38) +#36 := (= #13 #35) +#37 := [rewrite]: #36 +#40 := [monotonicity #37]: #39 +#43 := [monotonicity #40]: #42 +#46 := [monotonicity #43]: #45 +#52 := [trans #46 #50]: #51 +#63 := [trans #52 #61]: #62 +#33 := [asserted]: #16 +[mp #33 #63]: false +unsat +113be911296a33250bbcd43128973cc59f93526e 26 0 #2 := false #8 := 1::int #9 := (- 1::int) @@ -25899,7 +25899,7 @@ #28 := [asserted]: #11 [mp #28 #45]: false unsat -2fa07586f302aa9750784686f2cfa4df7ec4584e 61 0 +f6ff37f2a66568ce60ecd5249eff25718c85c238 61 0 #2 := false #13 := 0::int decl f4 :: (-> S2 int) @@ -25961,7 +25961,7 @@ #179 := [and-elim #177]: #149 [th-lemma #179 #178 #180]: false unsat -70a72eb40efd415a7fc201441ac2d390324dc85f 26 0 +cec95d65322be695abf9c2181f05ec8f90e8a935 26 0 #2 := false #8 := 3::int #9 := (- 3::int) @@ -25988,7 +25988,7 @@ #28 := [asserted]: #11 [mp #28 #45]: false unsat -fe16712a1fa51f4a62675a12f177489494d4ff85 53 0 +dab3885ba8215d926ee3c6f413de786f19602704 53 0 #2 := false #13 := 0::int decl f4 :: (-> S2 int) @@ -26042,7 +26042,7 @@ #171 := [and-elim #169]: #149 [th-lemma #171 #170 #172]: false unsat -c4720018b6df523588840d966fa6b5f79e529106 58 0 +9d1587620b1ac03e716760e9b77670cdcbc0d869 58 0 #2 := false decl f3 :: int #8 := f3 @@ -26101,7 +26101,7 @@ #31 := [asserted]: #14 [mp #31 #77]: false unsat -c156df2cdcaafc0712bbd7f760cf7c1135b2a278 61 0 +2fe4017173baaf767c6629bd6852a7b438932e50 61 0 #2 := false #8 := 0::int decl f3 :: int @@ -26163,7 +26163,7 @@ #31 := [asserted]: #14 [mp #31 #79]: false unsat -fc81f629d09c01783c65b3ee17baad49669d55bf 26 0 +6f7f580886df4b14f8fb404c5d3a00f03fbd8ee6 26 0 #2 := false decl f3 :: int #8 := f3 @@ -26190,7 +26190,7 @@ #29 := [asserted]: #12 [mp #29 #44]: false unsat -1c28009871674ce12da75bf1dced4812d4d59e07 61 0 +fdb98420125ded457439e02e837bc03d7148c23c 61 0 #2 := false decl f3 :: int #8 := f3 @@ -26252,7 +26252,7 @@ #31 := [asserted]: #14 [mp #31 #79]: false unsat -aec51136d021a387f2d6872e725f19b898f18ef5 32 0 +445783642ee7433013df57b7e4cef00ffeb157e0 32 0 #2 := false decl f3 :: int #9 := f3 @@ -26285,34 +26285,7 @@ #30 := [asserted]: #13 [mp #30 #50]: false unsat -65a9f6762bf7c73e050776f2f97205392ade9eb8 26 0 -#2 := false -#9 := 0::int -decl f3 :: int -#8 := f3 -#10 := (* f3 0::int) -#11 := (= #10 0::int) -#12 := (not #11) -#43 := (iff #12 false) -#1 := true -#38 := (not true) -#41 := (iff #38 false) -#42 := [rewrite]: #41 -#39 := (iff #12 #38) -#36 := (iff #11 true) -#31 := (= 0::int 0::int) -#34 := (iff #31 true) -#35 := [rewrite]: #34 -#32 := (iff #11 #31) -#30 := [rewrite]: #11 -#33 := [monotonicity #30]: #32 -#37 := [trans #33 #35]: #36 -#40 := [monotonicity #37]: #39 -#44 := [trans #40 #42]: #43 -#29 := [asserted]: #12 -[mp #29 #44]: false -unsat -31fc2c351446233f2061fde4a4592b401c54f862 64 0 +ed57db9b5bc45b814efcbe55950db276a0ae6227 64 0 #2 := false #12 := 0::int decl f4 :: int @@ -26377,7 +26350,34 @@ #32 := [asserted]: #15 [mp #32 #81]: false unsat -592736b964503a2e2a8b3d310866adf35fdeb70d 26 0 +5fea704d847c1f572f04828761c6aeed07320331 26 0 +#2 := false +#9 := 0::int +decl f3 :: int +#8 := f3 +#10 := (* f3 0::int) +#11 := (= #10 0::int) +#12 := (not #11) +#43 := (iff #12 false) +#1 := true +#38 := (not true) +#41 := (iff #38 false) +#42 := [rewrite]: #41 +#39 := (iff #12 #38) +#36 := (iff #11 true) +#31 := (= 0::int 0::int) +#34 := (iff #31 true) +#35 := [rewrite]: #34 +#32 := (iff #11 #31) +#30 := [rewrite]: #11 +#33 := [monotonicity #30]: #32 +#37 := [trans #33 #35]: #36 +#40 := [monotonicity #37]: #39 +#44 := [trans #40 #42]: #43 +#29 := [asserted]: #12 +[mp #29 #44]: false +unsat +afeb47d1fabcd35b9434330dd3b684867663bcd6 26 0 #2 := false #8 := 0::int decl f3 :: int @@ -26404,7 +26404,7 @@ #29 := [asserted]: #12 [mp #29 #44]: false unsat -7e5077e88974e2fa3da11f2fc124b2fc85a4f520 44 0 +5f6eb6ae429716b4776e5fd2a14d9da3158d991d 44 0 #2 := false decl f3 :: int #8 := f3 @@ -26449,7 +26449,7 @@ #31 := [asserted]: #14 [mp #31 #61]: false unsat -89e44e496d1c9e19d85ee56ab3fb92079351f1b0 26 0 +1eeb11e60a6bbbe94fa15811311d2d40ac3f4033 26 0 #2 := false decl f3 :: int #8 := f3 @@ -26476,34 +26476,7 @@ #29 := [asserted]: #12 [mp #29 #44]: false unsat -38200cf17f447eb7490b14a7927d61babf42be2c 26 0 -#2 := false -decl f3 :: int -#9 := f3 -#8 := 1::int -#10 := (* 1::int f3) -#11 := (= #10 f3) -#12 := (not #11) -#43 := (iff #12 false) -#1 := true -#38 := (not true) -#41 := (iff #38 false) -#42 := [rewrite]: #41 -#39 := (iff #12 #38) -#36 := (iff #11 true) -#31 := (= f3 f3) -#34 := (iff #31 true) -#35 := [rewrite]: #34 -#32 := (iff #11 #31) -#30 := [rewrite]: #11 -#33 := [monotonicity #30]: #32 -#37 := [trans #33 #35]: #36 -#40 := [monotonicity #37]: #39 -#44 := [trans #40 #42]: #43 -#29 := [asserted]: #12 -[mp #29 #44]: false -unsat -891b65b932309e97c69155ee809ef85f6496b3c5 42 0 +fd6e7c25e63ac8e70326ced7855970dd3a736cfa 42 0 #2 := false decl f3 :: int #8 := f3 @@ -26546,48 +26519,34 @@ #31 := [asserted]: #14 [mp #31 #59]: false unsat -f1f03cdf8e0332171bfb331e70236cd578ef1b1a 40 0 +08503fa6172915df238b523388ddb33a24fd4cb7 26 0 #2 := false decl f3 :: int -#8 := f3 -#12 := (- f3) -#9 := 1::int -#10 := (- 1::int) -#11 := (* f3 #10) -#13 := (= #11 #12) -#14 := (not #13) -#57 := (iff #14 false) -#1 := true -#52 := (not true) -#55 := (iff #52 false) -#56 := [rewrite]: #55 -#53 := (iff #14 #52) -#50 := (iff #13 true) -#32 := -1::int -#38 := (* -1::int f3) -#45 := (= #38 #38) -#48 := (iff #45 true) -#49 := [rewrite]: #48 -#46 := (iff #13 #45) -#43 := (= #12 #38) -#44 := [rewrite]: #43 -#41 := (= #11 #38) -#35 := (* f3 -1::int) -#39 := (= #35 #38) -#40 := [rewrite]: #39 -#36 := (= #11 #35) -#33 := (= #10 -1::int) -#34 := [rewrite]: #33 -#37 := [monotonicity #34]: #36 -#42 := [trans #37 #40]: #41 -#47 := [monotonicity #42 #44]: #46 -#51 := [trans #47 #49]: #50 -#54 := [monotonicity #51]: #53 -#58 := [trans #54 #56]: #57 -#31 := [asserted]: #14 -[mp #31 #58]: false -unsat -e90209aecaafc9e5a8d65cc3bfe9923d664d1180 48 0 +#9 := f3 +#8 := 1::int +#10 := (* 1::int f3) +#11 := (= #10 f3) +#12 := (not #11) +#43 := (iff #12 false) +#1 := true +#38 := (not true) +#41 := (iff #38 false) +#42 := [rewrite]: #41 +#39 := (iff #12 #38) +#36 := (iff #11 true) +#31 := (= f3 f3) +#34 := (iff #31 true) +#35 := [rewrite]: #34 +#32 := (iff #11 #31) +#30 := [rewrite]: #11 +#33 := [monotonicity #30]: #32 +#37 := [trans #33 #35]: #36 +#40 := [monotonicity #37]: #39 +#44 := [trans #40 #42]: #43 +#29 := [asserted]: #12 +[mp #29 #44]: false +unsat +250ddfb8ca251f84a346d955cf6715564ce90b7a 48 0 #2 := false decl f5 :: int #11 := f5 @@ -26636,7 +26595,48 @@ #33 := [asserted]: #16 [mp #33 #64]: false unsat -dcb91b564372ef4df7bba10a66d7a6eecfdd1891 35 0 +2c2b089e4b5c6cb37aa179a9f71ce56ba7d47fd2 40 0 +#2 := false +decl f3 :: int +#8 := f3 +#12 := (- f3) +#9 := 1::int +#10 := (- 1::int) +#11 := (* f3 #10) +#13 := (= #11 #12) +#14 := (not #13) +#57 := (iff #14 false) +#1 := true +#52 := (not true) +#55 := (iff #52 false) +#56 := [rewrite]: #55 +#53 := (iff #14 #52) +#50 := (iff #13 true) +#32 := -1::int +#38 := (* -1::int f3) +#45 := (= #38 #38) +#48 := (iff #45 true) +#49 := [rewrite]: #48 +#46 := (iff #13 #45) +#43 := (= #12 #38) +#44 := [rewrite]: #43 +#41 := (= #11 #38) +#35 := (* f3 -1::int) +#39 := (= #35 #38) +#40 := [rewrite]: #39 +#36 := (= #11 #35) +#33 := (= #10 -1::int) +#34 := [rewrite]: #33 +#37 := [monotonicity #34]: #36 +#42 := [trans #37 #40]: #41 +#47 := [monotonicity #42 #44]: #46 +#51 := [trans #47 #49]: #50 +#54 := [monotonicity #51]: #53 +#58 := [trans #54 #56]: #57 +#31 := [asserted]: #14 +[mp #31 #58]: false +unsat +df5f08c8b5312cfbfbb1f5bf1a74e868b8d5f32a 35 0 #2 := false decl f3 :: int #10 := f3 @@ -26672,7 +26672,7 @@ #31 := [asserted]: #14 [mp #31 #53]: false unsat -dc9c4895f383c2bc2209a55e4f8478193dad358d 244 0 +56201244c1c31fc8628969c3f353db10a7f712f1 244 0 #2 := false #11 := 0::int decl f3 :: (-> int int int) @@ -26917,7 +26917,7 @@ #683 := [mp #696 #682]: #695 [unit-resolution #683 #742 #167]: false unsat -e58e9441ca33f62ea126f129a1302457840ee037 28 0 +738d46bed422c47f454cfba0aef7d0d41195018e 28 0 #2 := false #8 := 3::int decl f3 :: int @@ -26946,7 +26946,7 @@ #30 := [asserted]: #13 [mp #30 #46]: false unsat -1a424f78adbf3f5b91865b15057a1edb6fd9f0c7 268 0 +b55995757cc7c0e54ef05dc5c7ed8997164e973f 268 0 #2 := false #11 := 0::int decl f4 :: (-> int int int) @@ -27215,7 +27215,7 @@ #678 := [mp #538 #684]: #696 [unit-resolution #678 #749 #167]: false unsat -6b27a316bc3cb1671937528bbb2aa4c5f16dd00c 257 0 +fa3f22f8699f818222604ac64aca7fd59a22aa11 257 0 #2 := false #11 := 0::int decl f3 :: (-> int int int) @@ -27473,7 +27473,7 @@ #673 := [mp #687 #520]: #680 [unit-resolution #673 #743 #168]: false unsat -d05667c302799334d71c6767e44df657452bd738 276 0 +706350a91145c463c7f48c3bf9879c01a9686cec 276 0 #2 := false decl f4 :: (-> int int int) #11 := 0::int @@ -27750,7 +27750,7 @@ #683 := [mp #679 #677]: #536 [unit-resolution #683 #747 #177]: false unsat -ac9468ec7d34e56bdf0ee161b89fe3a4afadc438 281 0 +f347a4adcb7fcad632a20b1470ae003828031f6b 281 0 #2 := false #11 := 0::int decl f3 :: (-> int int int) @@ -28032,7 +28032,7 @@ #667 := [mp #573 #670]: #572 [unit-resolution #667 #742 #168]: false unsat -9c82ae76cec416fd404b909bc700a14311ef9064 281 0 +9f3a2d1e5184a5f18507c2cbcaba7052c2f44041 281 0 #2 := false #38 := 1::int decl f3 :: (-> int int int) @@ -28314,7 +28314,7 @@ #667 := [mp #573 #670]: #572 [unit-resolution #667 #742 #168]: false unsat -07a66f14187da887bd1f0f4bb16d6c9a7023aeaf 298 0 +6a680acca8e4fb44be34c90aae6eeffc77e0f409 298 0 #2 := false #11 := 0::int decl f4 :: (-> int int int) @@ -28613,7 +28613,7 @@ #574 := [mp #554 #573]: #666 [unit-resolution #574 #749 #168]: false unsat -892e25c8bdf423f86a8231d77f83b5c173fd91c0 292 0 +724afb6ea0d36c4f4d7be70cf80c093f76cab778 292 0 #2 := false #38 := 3::int decl f3 :: (-> int int int) @@ -28906,7 +28906,7 @@ #660 := [mp #653 #664]: #659 [unit-resolution #660 #743 #169]: false unsat -ed1abab981b05d680a1c92a497bf3305ff9e1f16 296 0 +3d7d433cca19abbbfd4e4b784dad4abf4567789e 296 0 #2 := false #11 := 0::int decl f4 :: (-> int int int) @@ -29203,7 +29203,7 @@ #575 := [mp #569 #574]: #669 [unit-resolution #575 #749 #168]: false unsat -dcc2c3c66de3e673b0cfeb392eb7d2e8ec04caf3 335 0 +92529b3476781962ca1626bb5307f530f9b5594f 335 0 #2 := false decl f3 :: (-> int int int) #39 := 1::int @@ -29539,7 +29539,7 @@ #500 := [mp #530 #497]: #170 [unit-resolution #178 #500]: false unsat -52cf99958a1402707eac2a505ecb8d6adc72de1a 307 0 +7eb8a7aa41cf540c32626b3af4825722acd864ac 307 0 #2 := false #11 := 0::int decl f4 :: (-> int int int) @@ -29847,7 +29847,7 @@ #652 := [mp #668 #650]: #578 [unit-resolution #652 #750 #169]: false unsat -2a60c54232ee9900c0a7254451730bed52200c08 306 0 +bcd6aa81c95602060c016443dc50a08e0f15fea6 306 0 #2 := false #11 := 0::int decl f3 :: (-> int int int) @@ -30154,316 +30154,7 @@ #682 := [mp #588 #685]: #587 [unit-resolution #682 #757 #193]: false unsat -6d75bf2e8df3400e173e94c70d533cd85e2830a4 308 0 -#2 := false -#11 := 0::int -decl f5 :: int -#38 := f5 -#732 := (= f5 0::int) -#573 := (not #732) -#394 := (<= f5 0::int) -#720 := (not #394) -#388 := (>= f5 0::int) -#377 := (not #388) -#688 := (or #377 #720 #732) -#575 := (not #688) -#66 := -1::int -#408 := (* -1::int f5) -#700 := (mod #408 -1::int) -decl f4 :: (-> int int int) -#39 := 1::int -#40 := (f4 f5 1::int) -#698 := (+ #40 #700) -#703 := (= #698 0::int) -#41 := (= #40 0::int) -#520 := (ite #688 #41 #703) -#9 := (:var 0 int) -#8 := (:var 1 int) -#29 := (f4 #8 #9) -#744 := (pattern #29) -#70 := (* -1::int #9) -#67 := (* -1::int #8) -#125 := (mod #67 #70) -#256 := (+ #29 #125) -#257 := (= #256 0::int) -#30 := (mod #8 #9) -#253 := (* -1::int #30) -#254 := (+ #29 #253) -#255 := (= #254 0::int) -#92 := (<= #9 0::int) -#88 := (<= #8 0::int) -#195 := (or #88 #92) -#196 := (not #195) -#99 := (>= #8 0::int) -#187 := (or #92 #99) -#188 := (not #187) -#202 := (or #188 #196) -#258 := (ite #202 #255 #257) -#252 := (= #29 0::int) -#12 := (= #8 0::int) -#259 := (ite #12 #252 #258) -#251 := (= #8 #29) -#13 := (= #9 0::int) -#260 := (ite #13 #251 #259) -#745 := (forall (vars (?v0 int) (?v1 int)) (:pat #744) #260) -#263 := (forall (vars (?v0 int) (?v1 int)) #260) -#748 := (iff #263 #745) -#746 := (iff #260 #260) -#747 := [refl]: #746 -#749 := [quant-intro #747]: #748 -#131 := (* -1::int #125) -#220 := (ite #202 #30 #131) -#223 := (ite #12 0::int #220) -#226 := (ite #13 #8 #223) -#229 := (= #29 #226) -#232 := (forall (vars (?v0 int) (?v1 int)) #229) -#264 := (iff #232 #263) -#261 := (iff #229 #260) -#262 := [rewrite]: #261 -#265 := [quant-intro #262]: #264 -#100 := (not #99) -#93 := (not #92) -#103 := (and #93 #100) -#89 := (not #88) -#96 := (and #89 #93) -#106 := (or #96 #103) -#151 := (ite #106 #30 #131) -#154 := (ite #12 0::int #151) -#157 := (ite #13 #8 #154) -#160 := (= #29 #157) -#163 := (forall (vars (?v0 int) (?v1 int)) #160) -#233 := (iff #163 #232) -#230 := (iff #160 #229) -#227 := (= #157 #226) -#224 := (= #154 #223) -#221 := (= #151 #220) -#205 := (iff #106 #202) -#199 := (or #196 #188) -#203 := (iff #199 #202) -#204 := [rewrite]: #203 -#200 := (iff #106 #199) -#197 := (iff #103 #188) -#198 := [rewrite]: #197 -#185 := (iff #96 #196) -#186 := [rewrite]: #185 -#201 := [monotonicity #186 #198]: #200 -#206 := [trans #201 #204]: #205 -#222 := [monotonicity #206]: #221 -#225 := [monotonicity #222]: #224 -#228 := [monotonicity #225]: #227 -#231 := [monotonicity #228]: #230 -#234 := [quant-intro #231]: #233 -#183 := (~ #163 #163) -#180 := (~ #160 #160) -#193 := [refl]: #180 -#184 := [nnf-pos #193]: #183 -#23 := (- #9) -#22 := (- #8) -#31 := (mod #22 #23) -#32 := (- #31) -#16 := (< 0::int #9) -#18 := (< #8 0::int) -#19 := (and #18 #16) -#15 := (< 0::int #8) -#17 := (and #15 #16) -#20 := (or #17 #19) -#33 := (ite #20 #30 #32) -#34 := (ite #12 0::int #33) -#35 := (ite #13 #8 #34) -#36 := (= #29 #35) -#37 := (forall (vars (?v0 int) (?v1 int)) #36) -#166 := (iff #37 #163) -#60 := (and #16 #18) -#63 := (or #17 #60) -#136 := (ite #63 #30 #131) -#139 := (ite #12 0::int #136) -#142 := (ite #13 #8 #139) -#145 := (= #29 #142) -#148 := (forall (vars (?v0 int) (?v1 int)) #145) -#164 := (iff #148 #163) -#161 := (iff #145 #160) -#158 := (= #142 #157) -#155 := (= #139 #154) -#152 := (= #136 #151) -#107 := (iff #63 #106) -#104 := (iff #60 #103) -#101 := (iff #18 #100) -#102 := [rewrite]: #101 -#94 := (iff #16 #93) -#95 := [rewrite]: #94 -#105 := [monotonicity #95 #102]: #104 -#97 := (iff #17 #96) -#90 := (iff #15 #89) -#91 := [rewrite]: #90 -#98 := [monotonicity #91 #95]: #97 -#108 := [monotonicity #98 #105]: #107 -#153 := [monotonicity #108]: #152 -#156 := [monotonicity #153]: #155 -#159 := [monotonicity #156]: #158 -#162 := [monotonicity #159]: #161 -#165 := [quant-intro #162]: #164 -#149 := (iff #37 #148) -#146 := (iff #36 #145) -#143 := (= #35 #142) -#140 := (= #34 #139) -#137 := (= #33 #136) -#134 := (= #32 #131) -#128 := (- #125) -#132 := (= #128 #131) -#133 := [rewrite]: #132 -#129 := (= #32 #128) -#126 := (= #31 #125) -#71 := (= #23 #70) -#72 := [rewrite]: #71 -#68 := (= #22 #67) -#69 := [rewrite]: #68 -#127 := [monotonicity #69 #72]: #126 -#130 := [monotonicity #127]: #129 -#135 := [trans #130 #133]: #134 -#64 := (iff #20 #63) -#61 := (iff #19 #60) -#62 := [rewrite]: #61 -#65 := [monotonicity #62]: #64 -#138 := [monotonicity #65 #135]: #137 -#141 := [monotonicity #138]: #140 -#144 := [monotonicity #141]: #143 -#147 := [monotonicity #144]: #146 -#150 := [quant-intro #147]: #149 -#167 := [trans #150 #165]: #166 -#124 := [asserted]: #37 -#168 := [mp #124 #167]: #163 -#194 := [mp~ #168 #184]: #163 -#235 := [mp #194 #234]: #232 -#266 := [mp #235 #265]: #263 -#750 := [mp #266 #749]: #745 -#675 := (not #745) -#678 := (or #675 #520) -#324 := (* -1::int 1::int) -#409 := (mod #408 #324) -#410 := (+ #40 #409) -#401 := (= #410 0::int) -#412 := (mod f5 1::int) -#413 := (* -1::int #412) -#414 := (+ #40 #413) -#411 := (= #414 0::int) -#415 := (<= 1::int 0::int) -#729 := (or #394 #415) -#731 := (not #729) -#518 := (or #415 #388) -#725 := (not #518) -#399 := (or #725 #731) -#400 := (ite #399 #411 #401) -#733 := (ite #732 #41 #400) -#734 := (= f5 #40) -#735 := (= 1::int 0::int) -#730 := (ite #735 #734 #733) -#560 := (or #675 #730) -#562 := (iff #560 #678) -#669 := (iff #678 #678) -#571 := [rewrite]: #669 -#676 := (iff #730 #520) -#363 := (or #377 #720) -#697 := (or #363 #732) -#538 := (ite #697 #41 #703) -#673 := (iff #538 #520) -#517 := (iff #697 #688) -#519 := [rewrite]: #517 -#674 := [monotonicity #519]: #673 -#687 := (iff #730 #538) -#684 := (ite false #734 #538) -#680 := (iff #684 #538) -#686 := [rewrite]: #680 -#685 := (iff #730 #684) -#682 := (iff #733 #538) -#694 := (ite #363 #41 #703) -#695 := (ite #732 #41 #694) -#539 := (iff #695 #538) -#540 := [rewrite]: #539 -#696 := (iff #733 #695) -#689 := (iff #400 #694) -#692 := (iff #401 #703) -#702 := (= #410 #698) -#701 := (= #409 #700) -#421 := (= #324 -1::int) -#422 := [rewrite]: #421 -#416 := [monotonicity #422]: #701 -#699 := [monotonicity #416]: #702 -#693 := [monotonicity #699]: #692 -#419 := (iff #411 #41) -#705 := (= #414 #40) -#707 := (+ #40 0::int) -#704 := (= #707 #40) -#708 := [rewrite]: #704 -#429 := (= #414 #707) -#330 := (= #413 0::int) -#711 := (* -1::int 0::int) -#435 := (= #711 0::int) -#436 := [rewrite]: #435 -#433 := (= #413 #711) -#724 := (= #412 0::int) -#710 := [rewrite]: #724 -#434 := [monotonicity #710]: #433 -#706 := [trans #434 #436]: #330 -#430 := [monotonicity #706]: #429 -#709 := [trans #430 #708]: #705 -#420 := [monotonicity #709]: #419 -#723 := (iff #399 #363) -#722 := (iff #731 #720) -#719 := (iff #729 #394) -#715 := (or #394 false) -#718 := (iff #715 #394) -#713 := [rewrite]: #718 -#716 := (iff #729 #715) -#386 := (iff #415 false) -#391 := [rewrite]: #386 -#717 := [monotonicity #391]: #716 -#357 := [trans #717 #713]: #719 -#362 := [monotonicity #357]: #722 -#378 := (iff #725 #377) -#375 := (iff #518 #388) -#727 := (or false #388) -#371 := (iff #727 #388) -#712 := [rewrite]: #371 -#387 := (iff #518 #727) -#728 := [monotonicity #391]: #387 -#376 := [trans #728 #712]: #375 -#714 := [monotonicity #376]: #378 -#721 := [monotonicity #714 #362]: #723 -#690 := [monotonicity #721 #420 #693]: #689 -#691 := [monotonicity #690]: #696 -#683 := [trans #691 #540]: #682 -#736 := (iff #735 false) -#726 := [rewrite]: #736 -#679 := [monotonicity #726 #683]: #685 -#681 := [trans #679 #686]: #687 -#677 := [trans #681 #674]: #676 -#521 := [monotonicity #677]: #562 -#666 := [trans #521 #571]: #562 -#561 := [quant-inst]: #560 -#667 := [mp #561 #666]: #678 -#660 := [unit-resolution #667 #750]: #520 -#668 := (not #520) -#665 := (or #668 #575) -#42 := (not #41) -#169 := [asserted]: #42 -#672 := (or #668 #575 #41) -#659 := [def-axiom]: #672 -#654 := [unit-resolution #659 #169]: #665 -#655 := [unit-resolution #654 #660]: #575 -#566 := (or #688 #573) -#574 := [def-axiom]: #566 -#656 := [unit-resolution #574 #655]: #573 -#670 := (or #688 #388) -#555 := [def-axiom]: #670 -#657 := [unit-resolution #555 #655]: #388 -#570 := (or #688 #394) -#572 := [def-axiom]: #570 -#651 := [unit-resolution #572 #655]: #394 -#658 := (or #732 #720 #377) -#642 := [th-lemma]: #658 -[unit-resolution #642 #651 #657 #656]: false -unsat -923c4bec65f1ce0be6fa5d4ec7cf2b004a307f06 315 0 +c5e0a78cd4281adc96eca6cb66f3bfdd83b7f982 315 0 #2 := false #66 := -1::int decl f3 :: (-> int int int) @@ -30779,7 +30470,316 @@ #678 := [mp #675 #677]: #686 [unit-resolution #678 #757 #193]: false unsat -f6b6632f2c5a6045abfce98be6bbc967a6c8ca72 311 0 +5fd03e95521b145801ae320c34d2eabe8b033de9 308 0 +#2 := false +#11 := 0::int +decl f5 :: int +#38 := f5 +#732 := (= f5 0::int) +#573 := (not #732) +#394 := (<= f5 0::int) +#720 := (not #394) +#388 := (>= f5 0::int) +#377 := (not #388) +#688 := (or #377 #720 #732) +#575 := (not #688) +#66 := -1::int +#408 := (* -1::int f5) +#700 := (mod #408 -1::int) +decl f4 :: (-> int int int) +#39 := 1::int +#40 := (f4 f5 1::int) +#698 := (+ #40 #700) +#703 := (= #698 0::int) +#41 := (= #40 0::int) +#520 := (ite #688 #41 #703) +#9 := (:var 0 int) +#8 := (:var 1 int) +#29 := (f4 #8 #9) +#744 := (pattern #29) +#70 := (* -1::int #9) +#67 := (* -1::int #8) +#125 := (mod #67 #70) +#256 := (+ #29 #125) +#257 := (= #256 0::int) +#30 := (mod #8 #9) +#253 := (* -1::int #30) +#254 := (+ #29 #253) +#255 := (= #254 0::int) +#92 := (<= #9 0::int) +#88 := (<= #8 0::int) +#195 := (or #88 #92) +#196 := (not #195) +#99 := (>= #8 0::int) +#187 := (or #92 #99) +#188 := (not #187) +#202 := (or #188 #196) +#258 := (ite #202 #255 #257) +#252 := (= #29 0::int) +#12 := (= #8 0::int) +#259 := (ite #12 #252 #258) +#251 := (= #8 #29) +#13 := (= #9 0::int) +#260 := (ite #13 #251 #259) +#745 := (forall (vars (?v0 int) (?v1 int)) (:pat #744) #260) +#263 := (forall (vars (?v0 int) (?v1 int)) #260) +#748 := (iff #263 #745) +#746 := (iff #260 #260) +#747 := [refl]: #746 +#749 := [quant-intro #747]: #748 +#131 := (* -1::int #125) +#220 := (ite #202 #30 #131) +#223 := (ite #12 0::int #220) +#226 := (ite #13 #8 #223) +#229 := (= #29 #226) +#232 := (forall (vars (?v0 int) (?v1 int)) #229) +#264 := (iff #232 #263) +#261 := (iff #229 #260) +#262 := [rewrite]: #261 +#265 := [quant-intro #262]: #264 +#100 := (not #99) +#93 := (not #92) +#103 := (and #93 #100) +#89 := (not #88) +#96 := (and #89 #93) +#106 := (or #96 #103) +#151 := (ite #106 #30 #131) +#154 := (ite #12 0::int #151) +#157 := (ite #13 #8 #154) +#160 := (= #29 #157) +#163 := (forall (vars (?v0 int) (?v1 int)) #160) +#233 := (iff #163 #232) +#230 := (iff #160 #229) +#227 := (= #157 #226) +#224 := (= #154 #223) +#221 := (= #151 #220) +#205 := (iff #106 #202) +#199 := (or #196 #188) +#203 := (iff #199 #202) +#204 := [rewrite]: #203 +#200 := (iff #106 #199) +#197 := (iff #103 #188) +#198 := [rewrite]: #197 +#185 := (iff #96 #196) +#186 := [rewrite]: #185 +#201 := [monotonicity #186 #198]: #200 +#206 := [trans #201 #204]: #205 +#222 := [monotonicity #206]: #221 +#225 := [monotonicity #222]: #224 +#228 := [monotonicity #225]: #227 +#231 := [monotonicity #228]: #230 +#234 := [quant-intro #231]: #233 +#183 := (~ #163 #163) +#180 := (~ #160 #160) +#193 := [refl]: #180 +#184 := [nnf-pos #193]: #183 +#23 := (- #9) +#22 := (- #8) +#31 := (mod #22 #23) +#32 := (- #31) +#16 := (< 0::int #9) +#18 := (< #8 0::int) +#19 := (and #18 #16) +#15 := (< 0::int #8) +#17 := (and #15 #16) +#20 := (or #17 #19) +#33 := (ite #20 #30 #32) +#34 := (ite #12 0::int #33) +#35 := (ite #13 #8 #34) +#36 := (= #29 #35) +#37 := (forall (vars (?v0 int) (?v1 int)) #36) +#166 := (iff #37 #163) +#60 := (and #16 #18) +#63 := (or #17 #60) +#136 := (ite #63 #30 #131) +#139 := (ite #12 0::int #136) +#142 := (ite #13 #8 #139) +#145 := (= #29 #142) +#148 := (forall (vars (?v0 int) (?v1 int)) #145) +#164 := (iff #148 #163) +#161 := (iff #145 #160) +#158 := (= #142 #157) +#155 := (= #139 #154) +#152 := (= #136 #151) +#107 := (iff #63 #106) +#104 := (iff #60 #103) +#101 := (iff #18 #100) +#102 := [rewrite]: #101 +#94 := (iff #16 #93) +#95 := [rewrite]: #94 +#105 := [monotonicity #95 #102]: #104 +#97 := (iff #17 #96) +#90 := (iff #15 #89) +#91 := [rewrite]: #90 +#98 := [monotonicity #91 #95]: #97 +#108 := [monotonicity #98 #105]: #107 +#153 := [monotonicity #108]: #152 +#156 := [monotonicity #153]: #155 +#159 := [monotonicity #156]: #158 +#162 := [monotonicity #159]: #161 +#165 := [quant-intro #162]: #164 +#149 := (iff #37 #148) +#146 := (iff #36 #145) +#143 := (= #35 #142) +#140 := (= #34 #139) +#137 := (= #33 #136) +#134 := (= #32 #131) +#128 := (- #125) +#132 := (= #128 #131) +#133 := [rewrite]: #132 +#129 := (= #32 #128) +#126 := (= #31 #125) +#71 := (= #23 #70) +#72 := [rewrite]: #71 +#68 := (= #22 #67) +#69 := [rewrite]: #68 +#127 := [monotonicity #69 #72]: #126 +#130 := [monotonicity #127]: #129 +#135 := [trans #130 #133]: #134 +#64 := (iff #20 #63) +#61 := (iff #19 #60) +#62 := [rewrite]: #61 +#65 := [monotonicity #62]: #64 +#138 := [monotonicity #65 #135]: #137 +#141 := [monotonicity #138]: #140 +#144 := [monotonicity #141]: #143 +#147 := [monotonicity #144]: #146 +#150 := [quant-intro #147]: #149 +#167 := [trans #150 #165]: #166 +#124 := [asserted]: #37 +#168 := [mp #124 #167]: #163 +#194 := [mp~ #168 #184]: #163 +#235 := [mp #194 #234]: #232 +#266 := [mp #235 #265]: #263 +#750 := [mp #266 #749]: #745 +#675 := (not #745) +#678 := (or #675 #520) +#324 := (* -1::int 1::int) +#409 := (mod #408 #324) +#410 := (+ #40 #409) +#401 := (= #410 0::int) +#412 := (mod f5 1::int) +#413 := (* -1::int #412) +#414 := (+ #40 #413) +#411 := (= #414 0::int) +#415 := (<= 1::int 0::int) +#729 := (or #394 #415) +#731 := (not #729) +#518 := (or #415 #388) +#725 := (not #518) +#399 := (or #725 #731) +#400 := (ite #399 #411 #401) +#733 := (ite #732 #41 #400) +#734 := (= f5 #40) +#735 := (= 1::int 0::int) +#730 := (ite #735 #734 #733) +#560 := (or #675 #730) +#562 := (iff #560 #678) +#669 := (iff #678 #678) +#571 := [rewrite]: #669 +#676 := (iff #730 #520) +#363 := (or #377 #720) +#697 := (or #363 #732) +#538 := (ite #697 #41 #703) +#673 := (iff #538 #520) +#517 := (iff #697 #688) +#519 := [rewrite]: #517 +#674 := [monotonicity #519]: #673 +#687 := (iff #730 #538) +#684 := (ite false #734 #538) +#680 := (iff #684 #538) +#686 := [rewrite]: #680 +#685 := (iff #730 #684) +#682 := (iff #733 #538) +#694 := (ite #363 #41 #703) +#695 := (ite #732 #41 #694) +#539 := (iff #695 #538) +#540 := [rewrite]: #539 +#696 := (iff #733 #695) +#689 := (iff #400 #694) +#692 := (iff #401 #703) +#702 := (= #410 #698) +#701 := (= #409 #700) +#421 := (= #324 -1::int) +#422 := [rewrite]: #421 +#416 := [monotonicity #422]: #701 +#699 := [monotonicity #416]: #702 +#693 := [monotonicity #699]: #692 +#419 := (iff #411 #41) +#705 := (= #414 #40) +#707 := (+ #40 0::int) +#704 := (= #707 #40) +#708 := [rewrite]: #704 +#429 := (= #414 #707) +#330 := (= #413 0::int) +#711 := (* -1::int 0::int) +#435 := (= #711 0::int) +#436 := [rewrite]: #435 +#433 := (= #413 #711) +#724 := (= #412 0::int) +#710 := [rewrite]: #724 +#434 := [monotonicity #710]: #433 +#706 := [trans #434 #436]: #330 +#430 := [monotonicity #706]: #429 +#709 := [trans #430 #708]: #705 +#420 := [monotonicity #709]: #419 +#723 := (iff #399 #363) +#722 := (iff #731 #720) +#719 := (iff #729 #394) +#715 := (or #394 false) +#718 := (iff #715 #394) +#713 := [rewrite]: #718 +#716 := (iff #729 #715) +#386 := (iff #415 false) +#391 := [rewrite]: #386 +#717 := [monotonicity #391]: #716 +#357 := [trans #717 #713]: #719 +#362 := [monotonicity #357]: #722 +#378 := (iff #725 #377) +#375 := (iff #518 #388) +#727 := (or false #388) +#371 := (iff #727 #388) +#712 := [rewrite]: #371 +#387 := (iff #518 #727) +#728 := [monotonicity #391]: #387 +#376 := [trans #728 #712]: #375 +#714 := [monotonicity #376]: #378 +#721 := [monotonicity #714 #362]: #723 +#690 := [monotonicity #721 #420 #693]: #689 +#691 := [monotonicity #690]: #696 +#683 := [trans #691 #540]: #682 +#736 := (iff #735 false) +#726 := [rewrite]: #736 +#679 := [monotonicity #726 #683]: #685 +#681 := [trans #679 #686]: #687 +#677 := [trans #681 #674]: #676 +#521 := [monotonicity #677]: #562 +#666 := [trans #521 #571]: #562 +#561 := [quant-inst]: #560 +#667 := [mp #561 #666]: #678 +#660 := [unit-resolution #667 #750]: #520 +#668 := (not #520) +#665 := (or #668 #575) +#42 := (not #41) +#169 := [asserted]: #42 +#672 := (or #668 #575 #41) +#659 := [def-axiom]: #672 +#654 := [unit-resolution #659 #169]: #665 +#655 := [unit-resolution #654 #660]: #575 +#566 := (or #688 #573) +#574 := [def-axiom]: #566 +#656 := [unit-resolution #574 #655]: #573 +#670 := (or #688 #388) +#555 := [def-axiom]: #670 +#657 := [unit-resolution #555 #655]: #388 +#570 := (or #688 #394) +#572 := [def-axiom]: #570 +#651 := [unit-resolution #572 #655]: #394 +#658 := (or #732 #720 #377) +#642 := [th-lemma]: #658 +[unit-resolution #642 #651 #657 #656]: false +unsat +313d9507d6b102d4601325c684027a26955dd8c8 311 0 #2 := false #177 := -3::int decl f3 :: (-> int int int) @@ -31091,7 +31091,7 @@ #661 := [mp #659 #672]: #660 [unit-resolution #661 #750 #188]: false unsat -a09ca425a49bbf59a7db8aba4b01dbd7473e9c09 317 0 +3d32e1abf69ce0e5041899ca9973bae87dfc28de 317 0 #2 := false #11 := 0::int decl f4 :: (-> int int int) @@ -31409,7 +31409,7 @@ #587 := [mp #680 #586]: #683 [unit-resolution #587 #764 #193]: false unsat -ef319beaaae1961d7e0fb146b0bd21608ccf741d 362 0 +554be993a1782ec7f024b52e37aa60a3dc009c1f 362 0 #2 := false #11 := 0::int #39 := 1::int @@ -31772,7 +31772,7 @@ #563 := [th-lemma]: #562 [unit-resolution #563 #561 #633]: false unsat -07f15f3f61db6e3805237fa8c50e95e2181bdd46 327 0 +658c83eb9ce09a5dbf189137f768372756f07aa7 327 0 #2 := false #11 := 0::int decl f4 :: (-> int int int) @@ -32100,7 +32100,7 @@ #673 := [mp #590 #686]: #588 [unit-resolution #673 #764 #193]: false unsat -24bbfda15529f2b078998e7a57a330dfd637cef3 282 0 +637a9fb4751b1db772b995626b3d6e97b52eb701 282 0 #2 := false #11 := 0::int decl f3 :: (-> int int int) @@ -32383,7 +32383,7 @@ #668 := [mp #574 #671]: #573 [unit-resolution #668 #743 #168]: false unsat -8144b6d093845ae8dee3931af66c9361d99b4453 329 0 +7760bfb909b598c1c9e59b0475683ef8155b0972 329 0 #2 := false #11 := 0::int decl f4 :: (-> int int int) @@ -32713,7 +32713,7 @@ #676 := [mp #592 #674]: #590 [unit-resolution #676 #765 #194]: false unsat -12ef6b4ae9675610f423327a4c22119f401927ad 307 0 +3720824b257034758f7a600c278307a5f80b6e02 307 0 #2 := false #11 := 0::int decl f3 :: (-> int int int) @@ -33021,7 +33021,7 @@ #687 := [mp #582 #594]: #588 [unit-resolution #687 #759 #194]: false unsat -a20f91759967cf78b23640f832ca57a185975634 306 0 +8c2ddb2baafdfdaa50382790d0f6610f91f76e27 306 0 #2 := false #11 := 0::int decl f4 :: (-> int int int) @@ -33328,7 +33328,7 @@ #693 := [mp #535 #690]: #532 [unit-resolution #693 #765 #194]: false unsat -35df6ca3b9d8297d2ae93fc18a5a2fbecd67e27f 296 0 +f3e8e6f2d42536caa9e4ddd3735d660dddce72ee 296 0 #2 := false #11 := 0::int decl f3 :: (-> int int int) @@ -33625,7 +33625,7 @@ #656 := [mp #663 #655]: #652 [unit-resolution #656 #743 #169]: false unsat -d02187cb7fcefe99851febe02397cc4a2e6fdbff 286 0 +93736e6f4586e3d8675e6c2a74bb3371d5238b60 286 0 #2 := false #40 := 1::int decl f3 :: (-> int int int) @@ -33912,7 +33912,7 @@ #643 := [mp #568 #651]: #566 [unit-resolution #643 #733 #169]: false unsat -450a206c661160bbd83de0094374a847857dd804 299 0 +3b0f74b1f071a3ff5876e6e320a42af764cd8901 299 0 #2 := false #11 := 0::int decl f4 :: (-> int int int) @@ -34212,7 +34212,7 @@ #575 := [mp #555 #574]: #667 [unit-resolution #575 #750 #168]: false unsat -fc9ffeceefa2f1854d4c8adb404766a307c30ad9 310 0 +47a39d6a04f9615c07eaa600e336bda0f6475ecd 310 0 #2 := false #41 := 1::int decl f3 :: (-> int int int) @@ -34523,7 +34523,7 @@ #627 := [mp #637 #626]: #634 [unit-resolution #627 #734 #170]: false unsat -b8be49aa798ad99c4b186f0fa5e2759eac880cd8 318 0 +297aa7cb47f4ebcdd849638dea24e69f28ead5a8 318 0 #2 := false #11 := 0::int decl f4 :: (-> int int int) @@ -34842,7 +34842,7 @@ #588 := [mp #587 #586]: #537 [unit-resolution #588 #766 #194]: false unsat -334231bac1c10cb79d865cb2c86779cf7dd19631 324 0 +5b0e88fc80a274fa3e863e03464470bfb173c5f7 324 0 #2 := false #68 := -1::int decl f3 :: (-> int int int) @@ -35167,7 +35167,7 @@ #674 := [mp #681 #673]: #669 [unit-resolution #674 #762 #198]: false unsat -ed5e3568452fe6600500ab5071290e80a7175922 322 0 +c6240466c20be0ec4a8775881ce8a00f5857e767 322 0 #2 := false #38 := 1::int decl f4 :: (-> int int int) @@ -35490,7 +35490,7 @@ #642 := [mp #654 #658]: #660 [unit-resolution #642 #750 #169]: false unsat -60a3e615568433502bc15c7d472c0ece644ee329 323 0 +6267f0b993e2728f85ea31149fbe98cf106912d9 323 0 #2 := false #68 := -1::int decl f3 :: (-> int int int) @@ -35814,305 +35814,7 @@ #673 := [mp #671 #684]: #672 [unit-resolution #673 #762 #198]: false unsat -1897b65589b01a36e8c901ddcdce3eb69e66fd4d 297 0 -#2 := false -#11 := 0::int -decl f4 :: (-> int int int) -#38 := 3::int -#39 := (f4 3::int 3::int) -#40 := (= #39 0::int) -#41 := (not #40) -#168 := [asserted]: #41 -#9 := (:var 0 int) -#8 := (:var 1 int) -#29 := (f4 #8 #9) -#744 := (pattern #29) -#65 := -1::int -#69 := (* -1::int #9) -#66 := (* -1::int #8) -#124 := (mod #66 #69) -#255 := (+ #29 #124) -#256 := (= #255 0::int) -#30 := (mod #8 #9) -#252 := (* -1::int #30) -#253 := (+ #29 #252) -#254 := (= #253 0::int) -#91 := (<= #9 0::int) -#87 := (<= #8 0::int) -#194 := (or #87 #91) -#195 := (not #194) -#98 := (>= #8 0::int) -#186 := (or #91 #98) -#187 := (not #186) -#201 := (or #187 #195) -#257 := (ite #201 #254 #256) -#251 := (= #29 0::int) -#12 := (= #8 0::int) -#258 := (ite #12 #251 #257) -#250 := (= #8 #29) -#13 := (= #9 0::int) -#259 := (ite #13 #250 #258) -#745 := (forall (vars (?v0 int) (?v1 int)) (:pat #744) #259) -#262 := (forall (vars (?v0 int) (?v1 int)) #259) -#748 := (iff #262 #745) -#746 := (iff #259 #259) -#747 := [refl]: #746 -#749 := [quant-intro #747]: #748 -#130 := (* -1::int #124) -#219 := (ite #201 #30 #130) -#222 := (ite #12 0::int #219) -#225 := (ite #13 #8 #222) -#228 := (= #29 #225) -#231 := (forall (vars (?v0 int) (?v1 int)) #228) -#263 := (iff #231 #262) -#260 := (iff #228 #259) -#261 := [rewrite]: #260 -#264 := [quant-intro #261]: #263 -#99 := (not #98) -#92 := (not #91) -#102 := (and #92 #99) -#88 := (not #87) -#95 := (and #88 #92) -#105 := (or #95 #102) -#150 := (ite #105 #30 #130) -#153 := (ite #12 0::int #150) -#156 := (ite #13 #8 #153) -#159 := (= #29 #156) -#162 := (forall (vars (?v0 int) (?v1 int)) #159) -#232 := (iff #162 #231) -#229 := (iff #159 #228) -#226 := (= #156 #225) -#223 := (= #153 #222) -#220 := (= #150 #219) -#204 := (iff #105 #201) -#198 := (or #195 #187) -#202 := (iff #198 #201) -#203 := [rewrite]: #202 -#199 := (iff #105 #198) -#196 := (iff #102 #187) -#197 := [rewrite]: #196 -#184 := (iff #95 #195) -#185 := [rewrite]: #184 -#200 := [monotonicity #185 #197]: #199 -#205 := [trans #200 #203]: #204 -#221 := [monotonicity #205]: #220 -#224 := [monotonicity #221]: #223 -#227 := [monotonicity #224]: #226 -#230 := [monotonicity #227]: #229 -#233 := [quant-intro #230]: #232 -#182 := (~ #162 #162) -#179 := (~ #159 #159) -#192 := [refl]: #179 -#183 := [nnf-pos #192]: #182 -#23 := (- #9) -#22 := (- #8) -#31 := (mod #22 #23) -#32 := (- #31) -#16 := (< 0::int #9) -#18 := (< #8 0::int) -#19 := (and #18 #16) -#15 := (< 0::int #8) -#17 := (and #15 #16) -#20 := (or #17 #19) -#33 := (ite #20 #30 #32) -#34 := (ite #12 0::int #33) -#35 := (ite #13 #8 #34) -#36 := (= #29 #35) -#37 := (forall (vars (?v0 int) (?v1 int)) #36) -#165 := (iff #37 #162) -#59 := (and #16 #18) -#62 := (or #17 #59) -#135 := (ite #62 #30 #130) -#138 := (ite #12 0::int #135) -#141 := (ite #13 #8 #138) -#144 := (= #29 #141) -#147 := (forall (vars (?v0 int) (?v1 int)) #144) -#163 := (iff #147 #162) -#160 := (iff #144 #159) -#157 := (= #141 #156) -#154 := (= #138 #153) -#151 := (= #135 #150) -#106 := (iff #62 #105) -#103 := (iff #59 #102) -#100 := (iff #18 #99) -#101 := [rewrite]: #100 -#93 := (iff #16 #92) -#94 := [rewrite]: #93 -#104 := [monotonicity #94 #101]: #103 -#96 := (iff #17 #95) -#89 := (iff #15 #88) -#90 := [rewrite]: #89 -#97 := [monotonicity #90 #94]: #96 -#107 := [monotonicity #97 #104]: #106 -#152 := [monotonicity #107]: #151 -#155 := [monotonicity #152]: #154 -#158 := [monotonicity #155]: #157 -#161 := [monotonicity #158]: #160 -#164 := [quant-intro #161]: #163 -#148 := (iff #37 #147) -#145 := (iff #36 #144) -#142 := (= #35 #141) -#139 := (= #34 #138) -#136 := (= #33 #135) -#133 := (= #32 #130) -#127 := (- #124) -#131 := (= #127 #130) -#132 := [rewrite]: #131 -#128 := (= #32 #127) -#125 := (= #31 #124) -#70 := (= #23 #69) -#71 := [rewrite]: #70 -#67 := (= #22 #66) -#68 := [rewrite]: #67 -#126 := [monotonicity #68 #71]: #125 -#129 := [monotonicity #126]: #128 -#134 := [trans #129 #132]: #133 -#63 := (iff #20 #62) -#60 := (iff #19 #59) -#61 := [rewrite]: #60 -#64 := [monotonicity #61]: #63 -#137 := [monotonicity #64 #134]: #136 -#140 := [monotonicity #137]: #139 -#143 := [monotonicity #140]: #142 -#146 := [monotonicity #143]: #145 -#149 := [quant-intro #146]: #148 -#166 := [trans #149 #164]: #165 -#123 := [asserted]: #37 -#167 := [mp #123 #166]: #162 -#193 := [mp~ #167 #183]: #162 -#234 := [mp #193 #233]: #231 -#265 := [mp #234 #264]: #262 -#750 := [mp #265 #749]: #745 -#667 := (not #745) -#670 := (or #667 #40) -#323 := (* -1::int 3::int) -#408 := (mod #323 #323) -#409 := (+ #39 #408) -#410 := (= #409 0::int) -#401 := (mod 3::int 3::int) -#412 := (* -1::int #401) -#413 := (+ #39 #412) -#341 := (= #413 0::int) -#414 := (<= 3::int 0::int) -#411 := (or #414 #414) -#415 := (not #411) -#394 := (>= 3::int 0::int) -#729 := (or #414 #394) -#731 := (not #729) -#388 := (or #731 #415) -#518 := (ite #388 #341 #410) -#725 := (= 3::int 0::int) -#399 := (ite #725 #40 #518) -#400 := (= 3::int #39) -#732 := (ite #725 #400 #399) -#555 := (or #667 #732) -#572 := (iff #555 #670) -#566 := (iff #670 #670) -#574 := [rewrite]: #566 -#571 := (iff #732 #40) -#730 := (= #39 3::int) -#560 := (ite false #730 #40) -#521 := (iff #560 #40) -#669 := [rewrite]: #521 -#561 := (iff #732 #560) -#675 := (iff #399 #40) -#520 := (ite false #40 #40) -#676 := (iff #520 #40) -#677 := [rewrite]: #676 -#673 := (iff #399 #520) -#517 := (iff #518 #40) -#1 := true -#680 := (ite true #40 #40) -#681 := (iff #680 #40) -#688 := [rewrite]: #681 -#686 := (iff #518 #680) -#685 := (iff #410 #40) -#683 := (= #409 #39) -#422 := (+ #39 0::int) -#416 := (= #422 #39) -#698 := [rewrite]: #416 -#540 := (= #409 #422) -#538 := (= #408 0::int) -#693 := -3::int -#690 := (mod -3::int -3::int) -#691 := (= #690 0::int) -#697 := [rewrite]: #691 -#695 := (= #408 #690) -#694 := (= #323 -3::int) -#689 := [rewrite]: #694 -#696 := [monotonicity #689 #689]: #695 -#539 := [trans #696 #697]: #538 -#682 := [monotonicity #539]: #540 -#684 := [trans #682 #698]: #683 -#679 := [monotonicity #684]: #685 -#703 := (iff #341 #40) -#702 := (= #413 #39) -#700 := (= #413 #422) -#420 := (= #412 0::int) -#704 := (* -1::int 0::int) -#709 := (= #704 0::int) -#419 := [rewrite]: #709 -#708 := (= #412 #704) -#429 := (= #401 0::int) -#430 := [rewrite]: #429 -#705 := [monotonicity #430]: #708 -#421 := [trans #705 #419]: #420 -#701 := [monotonicity #421]: #700 -#699 := [trans #701 #698]: #702 -#692 := [monotonicity #699]: #703 -#706 := (iff #388 true) -#387 := (or false true) -#712 := (iff #387 true) -#375 := [rewrite]: #712 -#436 := (iff #388 #387) -#434 := (iff #415 true) -#721 := (not false) -#711 := (iff #721 true) -#433 := [rewrite]: #711 -#724 := (iff #415 #721) -#363 := (iff #411 false) -#719 := (or false false) -#722 := (iff #719 false) -#362 := [rewrite]: #722 -#357 := (iff #411 #719) -#726 := (iff #414 false) -#386 := [rewrite]: #726 -#720 := [monotonicity #386 #386]: #357 -#723 := [trans #720 #362]: #363 -#710 := [monotonicity #723]: #724 -#435 := [trans #710 #433]: #434 -#718 := (iff #731 false) -#378 := (not true) -#716 := (iff #378 false) -#717 := [rewrite]: #716 -#714 := (iff #731 #378) -#376 := (iff #729 true) -#728 := (iff #729 #387) -#391 := (iff #394 true) -#727 := [rewrite]: #391 -#371 := [monotonicity #386 #727]: #728 -#377 := [trans #371 #375]: #376 -#715 := [monotonicity #377]: #714 -#713 := [trans #715 #717]: #718 -#329 := [monotonicity #713 #435]: #436 -#707 := [trans #329 #375]: #706 -#687 := [monotonicity #707 #692 #679]: #686 -#519 := [trans #687 #688]: #517 -#733 := (iff #725 false) -#734 := [rewrite]: #733 -#674 := [monotonicity #734 #519]: #673 -#678 := [trans #674 #677]: #675 -#735 := (iff #400 #730) -#736 := [rewrite]: #735 -#562 := [monotonicity #734 #736 #678]: #561 -#666 := [trans #562 #669]: #571 -#573 := [monotonicity #666]: #572 -#575 := [trans #573 #574]: #572 -#570 := [quant-inst]: #555 -#576 := [mp #570 #575]: #670 -[unit-resolution #576 #750 #168]: false -unsat -0217fb3975a8ed7626e13b93029371f1151b43e4 326 0 +ab3ee722b1a4b13d571e9569335a5a4521f8479c 326 0 #2 := false #179 := -2::int decl f3 :: (-> int int int) @@ -36439,7 +36141,627 @@ #654 := [mp #652 #658]: #661 [unit-resolution #654 #753 #190]: false unsat -0950f059c8c59b021ddf8b08664ab965652bd6ab 328 0 +289a94002efb27d5f9eb28105782f378a655ffff 297 0 +#2 := false +#11 := 0::int +decl f4 :: (-> int int int) +#38 := 3::int +#39 := (f4 3::int 3::int) +#40 := (= #39 0::int) +#41 := (not #40) +#168 := [asserted]: #41 +#9 := (:var 0 int) +#8 := (:var 1 int) +#29 := (f4 #8 #9) +#744 := (pattern #29) +#65 := -1::int +#69 := (* -1::int #9) +#66 := (* -1::int #8) +#124 := (mod #66 #69) +#255 := (+ #29 #124) +#256 := (= #255 0::int) +#30 := (mod #8 #9) +#252 := (* -1::int #30) +#253 := (+ #29 #252) +#254 := (= #253 0::int) +#91 := (<= #9 0::int) +#87 := (<= #8 0::int) +#194 := (or #87 #91) +#195 := (not #194) +#98 := (>= #8 0::int) +#186 := (or #91 #98) +#187 := (not #186) +#201 := (or #187 #195) +#257 := (ite #201 #254 #256) +#251 := (= #29 0::int) +#12 := (= #8 0::int) +#258 := (ite #12 #251 #257) +#250 := (= #8 #29) +#13 := (= #9 0::int) +#259 := (ite #13 #250 #258) +#745 := (forall (vars (?v0 int) (?v1 int)) (:pat #744) #259) +#262 := (forall (vars (?v0 int) (?v1 int)) #259) +#748 := (iff #262 #745) +#746 := (iff #259 #259) +#747 := [refl]: #746 +#749 := [quant-intro #747]: #748 +#130 := (* -1::int #124) +#219 := (ite #201 #30 #130) +#222 := (ite #12 0::int #219) +#225 := (ite #13 #8 #222) +#228 := (= #29 #225) +#231 := (forall (vars (?v0 int) (?v1 int)) #228) +#263 := (iff #231 #262) +#260 := (iff #228 #259) +#261 := [rewrite]: #260 +#264 := [quant-intro #261]: #263 +#99 := (not #98) +#92 := (not #91) +#102 := (and #92 #99) +#88 := (not #87) +#95 := (and #88 #92) +#105 := (or #95 #102) +#150 := (ite #105 #30 #130) +#153 := (ite #12 0::int #150) +#156 := (ite #13 #8 #153) +#159 := (= #29 #156) +#162 := (forall (vars (?v0 int) (?v1 int)) #159) +#232 := (iff #162 #231) +#229 := (iff #159 #228) +#226 := (= #156 #225) +#223 := (= #153 #222) +#220 := (= #150 #219) +#204 := (iff #105 #201) +#198 := (or #195 #187) +#202 := (iff #198 #201) +#203 := [rewrite]: #202 +#199 := (iff #105 #198) +#196 := (iff #102 #187) +#197 := [rewrite]: #196 +#184 := (iff #95 #195) +#185 := [rewrite]: #184 +#200 := [monotonicity #185 #197]: #199 +#205 := [trans #200 #203]: #204 +#221 := [monotonicity #205]: #220 +#224 := [monotonicity #221]: #223 +#227 := [monotonicity #224]: #226 +#230 := [monotonicity #227]: #229 +#233 := [quant-intro #230]: #232 +#182 := (~ #162 #162) +#179 := (~ #159 #159) +#192 := [refl]: #179 +#183 := [nnf-pos #192]: #182 +#23 := (- #9) +#22 := (- #8) +#31 := (mod #22 #23) +#32 := (- #31) +#16 := (< 0::int #9) +#18 := (< #8 0::int) +#19 := (and #18 #16) +#15 := (< 0::int #8) +#17 := (and #15 #16) +#20 := (or #17 #19) +#33 := (ite #20 #30 #32) +#34 := (ite #12 0::int #33) +#35 := (ite #13 #8 #34) +#36 := (= #29 #35) +#37 := (forall (vars (?v0 int) (?v1 int)) #36) +#165 := (iff #37 #162) +#59 := (and #16 #18) +#62 := (or #17 #59) +#135 := (ite #62 #30 #130) +#138 := (ite #12 0::int #135) +#141 := (ite #13 #8 #138) +#144 := (= #29 #141) +#147 := (forall (vars (?v0 int) (?v1 int)) #144) +#163 := (iff #147 #162) +#160 := (iff #144 #159) +#157 := (= #141 #156) +#154 := (= #138 #153) +#151 := (= #135 #150) +#106 := (iff #62 #105) +#103 := (iff #59 #102) +#100 := (iff #18 #99) +#101 := [rewrite]: #100 +#93 := (iff #16 #92) +#94 := [rewrite]: #93 +#104 := [monotonicity #94 #101]: #103 +#96 := (iff #17 #95) +#89 := (iff #15 #88) +#90 := [rewrite]: #89 +#97 := [monotonicity #90 #94]: #96 +#107 := [monotonicity #97 #104]: #106 +#152 := [monotonicity #107]: #151 +#155 := [monotonicity #152]: #154 +#158 := [monotonicity #155]: #157 +#161 := [monotonicity #158]: #160 +#164 := [quant-intro #161]: #163 +#148 := (iff #37 #147) +#145 := (iff #36 #144) +#142 := (= #35 #141) +#139 := (= #34 #138) +#136 := (= #33 #135) +#133 := (= #32 #130) +#127 := (- #124) +#131 := (= #127 #130) +#132 := [rewrite]: #131 +#128 := (= #32 #127) +#125 := (= #31 #124) +#70 := (= #23 #69) +#71 := [rewrite]: #70 +#67 := (= #22 #66) +#68 := [rewrite]: #67 +#126 := [monotonicity #68 #71]: #125 +#129 := [monotonicity #126]: #128 +#134 := [trans #129 #132]: #133 +#63 := (iff #20 #62) +#60 := (iff #19 #59) +#61 := [rewrite]: #60 +#64 := [monotonicity #61]: #63 +#137 := [monotonicity #64 #134]: #136 +#140 := [monotonicity #137]: #139 +#143 := [monotonicity #140]: #142 +#146 := [monotonicity #143]: #145 +#149 := [quant-intro #146]: #148 +#166 := [trans #149 #164]: #165 +#123 := [asserted]: #37 +#167 := [mp #123 #166]: #162 +#193 := [mp~ #167 #183]: #162 +#234 := [mp #193 #233]: #231 +#265 := [mp #234 #264]: #262 +#750 := [mp #265 #749]: #745 +#667 := (not #745) +#670 := (or #667 #40) +#323 := (* -1::int 3::int) +#408 := (mod #323 #323) +#409 := (+ #39 #408) +#410 := (= #409 0::int) +#401 := (mod 3::int 3::int) +#412 := (* -1::int #401) +#413 := (+ #39 #412) +#341 := (= #413 0::int) +#414 := (<= 3::int 0::int) +#411 := (or #414 #414) +#415 := (not #411) +#394 := (>= 3::int 0::int) +#729 := (or #414 #394) +#731 := (not #729) +#388 := (or #731 #415) +#518 := (ite #388 #341 #410) +#725 := (= 3::int 0::int) +#399 := (ite #725 #40 #518) +#400 := (= 3::int #39) +#732 := (ite #725 #400 #399) +#555 := (or #667 #732) +#572 := (iff #555 #670) +#566 := (iff #670 #670) +#574 := [rewrite]: #566 +#571 := (iff #732 #40) +#730 := (= #39 3::int) +#560 := (ite false #730 #40) +#521 := (iff #560 #40) +#669 := [rewrite]: #521 +#561 := (iff #732 #560) +#675 := (iff #399 #40) +#520 := (ite false #40 #40) +#676 := (iff #520 #40) +#677 := [rewrite]: #676 +#673 := (iff #399 #520) +#517 := (iff #518 #40) +#1 := true +#680 := (ite true #40 #40) +#681 := (iff #680 #40) +#688 := [rewrite]: #681 +#686 := (iff #518 #680) +#685 := (iff #410 #40) +#683 := (= #409 #39) +#422 := (+ #39 0::int) +#416 := (= #422 #39) +#698 := [rewrite]: #416 +#540 := (= #409 #422) +#538 := (= #408 0::int) +#693 := -3::int +#690 := (mod -3::int -3::int) +#691 := (= #690 0::int) +#697 := [rewrite]: #691 +#695 := (= #408 #690) +#694 := (= #323 -3::int) +#689 := [rewrite]: #694 +#696 := [monotonicity #689 #689]: #695 +#539 := [trans #696 #697]: #538 +#682 := [monotonicity #539]: #540 +#684 := [trans #682 #698]: #683 +#679 := [monotonicity #684]: #685 +#703 := (iff #341 #40) +#702 := (= #413 #39) +#700 := (= #413 #422) +#420 := (= #412 0::int) +#704 := (* -1::int 0::int) +#709 := (= #704 0::int) +#419 := [rewrite]: #709 +#708 := (= #412 #704) +#429 := (= #401 0::int) +#430 := [rewrite]: #429 +#705 := [monotonicity #430]: #708 +#421 := [trans #705 #419]: #420 +#701 := [monotonicity #421]: #700 +#699 := [trans #701 #698]: #702 +#692 := [monotonicity #699]: #703 +#706 := (iff #388 true) +#387 := (or false true) +#712 := (iff #387 true) +#375 := [rewrite]: #712 +#436 := (iff #388 #387) +#434 := (iff #415 true) +#721 := (not false) +#711 := (iff #721 true) +#433 := [rewrite]: #711 +#724 := (iff #415 #721) +#363 := (iff #411 false) +#719 := (or false false) +#722 := (iff #719 false) +#362 := [rewrite]: #722 +#357 := (iff #411 #719) +#726 := (iff #414 false) +#386 := [rewrite]: #726 +#720 := [monotonicity #386 #386]: #357 +#723 := [trans #720 #362]: #363 +#710 := [monotonicity #723]: #724 +#435 := [trans #710 #433]: #434 +#718 := (iff #731 false) +#378 := (not true) +#716 := (iff #378 false) +#717 := [rewrite]: #716 +#714 := (iff #731 #378) +#376 := (iff #729 true) +#728 := (iff #729 #387) +#391 := (iff #394 true) +#727 := [rewrite]: #391 +#371 := [monotonicity #386 #727]: #728 +#377 := [trans #371 #375]: #376 +#715 := [monotonicity #377]: #714 +#713 := [trans #715 #717]: #718 +#329 := [monotonicity #713 #435]: #436 +#707 := [trans #329 #375]: #706 +#687 := [monotonicity #707 #692 #679]: #686 +#519 := [trans #687 #688]: #517 +#733 := (iff #725 false) +#734 := [rewrite]: #733 +#674 := [monotonicity #734 #519]: #673 +#678 := [trans #674 #677]: #675 +#735 := (iff #400 #730) +#736 := [rewrite]: #735 +#562 := [monotonicity #734 #736 #678]: #561 +#666 := [trans #562 #669]: #571 +#573 := [monotonicity #666]: #572 +#575 := [trans #573 #574]: #572 +#570 := [quant-inst]: #555 +#576 := [mp #570 #575]: #670 +[unit-resolution #576 #750 #168]: false +unsat +df3c3180cbba903cfcccf082cba5dc63ba7e5462 321 0 +#2 := false +#67 := -1::int +decl f3 :: (-> int int int) +#40 := 3::int +#173 := (f3 -1::int 3::int) +#176 := (= #173 -1::int) +#189 := (not #176) +#38 := 1::int +#39 := (- 1::int) +#41 := (f3 #39 3::int) +#42 := (= #41 #39) +#43 := (not #42) +#192 := (iff #43 #189) +#179 := (= -1::int #173) +#184 := (not #179) +#190 := (iff #184 #189) +#187 := (iff #179 #176) +#188 := [rewrite]: #187 +#191 := [monotonicity #188]: #190 +#185 := (iff #43 #184) +#182 := (iff #42 #179) +#180 := (iff #176 #179) +#181 := [rewrite]: #180 +#177 := (iff #42 #176) +#171 := (= #39 -1::int) +#172 := [rewrite]: #171 +#174 := (= #41 #173) +#175 := [monotonicity #172]: #174 +#178 := [monotonicity #175 #172]: #177 +#183 := [trans #178 #181]: #182 +#186 := [monotonicity #183]: #185 +#193 := [trans #186 #191]: #192 +#170 := [asserted]: #43 +#194 := [mp #170 #193]: #189 +#9 := (:var 0 int) +#8 := (:var 1 int) +#10 := (f3 #8 #9) +#752 := (pattern #10) +#11 := 0::int +#71 := (* -1::int #9) +#68 := (* -1::int #8) +#74 := (div #68 #71) +#255 := (* -1::int #74) +#256 := (+ #10 #255) +#257 := (= #256 0::int) +#21 := (div #8 #9) +#252 := (* -1::int #21) +#253 := (+ #10 #252) +#254 := (= #253 0::int) +#93 := (<= #9 0::int) +#89 := (<= #8 0::int) +#210 := (or #89 #93) +#211 := (not #210) +#100 := (>= #8 0::int) +#202 := (or #93 #100) +#203 := (not #202) +#217 := (or #203 #211) +#258 := (ite #217 #254 #257) +#251 := (= #10 0::int) +#13 := (= #9 0::int) +#12 := (= #8 0::int) +#14 := (or #12 #13) +#259 := (ite #14 #251 #258) +#753 := (forall (vars (?v0 int) (?v1 int)) (:pat #752) #259) +#262 := (forall (vars (?v0 int) (?v1 int)) #259) +#756 := (iff #262 #753) +#754 := (iff #259 #259) +#755 := [refl]: #754 +#757 := [quant-intro #755]: #756 +#222 := (ite #217 #21 #74) +#225 := (ite #14 0::int #222) +#228 := (= #10 #225) +#231 := (forall (vars (?v0 int) (?v1 int)) #228) +#263 := (iff #231 #262) +#260 := (iff #228 #259) +#261 := [rewrite]: #260 +#264 := [quant-intro #261]: #263 +#101 := (not #100) +#94 := (not #93) +#104 := (and #94 #101) +#90 := (not #89) +#97 := (and #90 #94) +#107 := (or #97 #104) +#110 := (ite #107 #21 #74) +#113 := (ite #14 0::int #110) +#116 := (= #10 #113) +#119 := (forall (vars (?v0 int) (?v1 int)) #116) +#232 := (iff #119 #231) +#229 := (iff #116 #228) +#226 := (= #113 #225) +#223 := (= #110 #222) +#220 := (iff #107 #217) +#214 := (or #211 #203) +#218 := (iff #214 #217) +#219 := [rewrite]: #218 +#215 := (iff #107 #214) +#212 := (iff #104 #203) +#213 := [rewrite]: #212 +#200 := (iff #97 #211) +#201 := [rewrite]: #200 +#216 := [monotonicity #201 #213]: #215 +#221 := [trans #216 #219]: #220 +#224 := [monotonicity #221]: #223 +#227 := [monotonicity #224]: #226 +#230 := [monotonicity #227]: #229 +#233 := [quant-intro #230]: #232 +#206 := (~ #119 #119) +#204 := (~ #116 #116) +#205 := [refl]: #204 +#207 := [nnf-pos #205]: #206 +#23 := (- #9) +#22 := (- #8) +#24 := (div #22 #23) +#16 := (< 0::int #9) +#18 := (< #8 0::int) +#19 := (and #18 #16) +#15 := (< 0::int #8) +#17 := (and #15 #16) +#20 := (or #17 #19) +#25 := (ite #20 #21 #24) +#26 := (ite #14 0::int #25) +#27 := (= #10 #26) +#28 := (forall (vars (?v0 int) (?v1 int)) #27) +#122 := (iff #28 #119) +#61 := (and #16 #18) +#64 := (or #17 #61) +#77 := (ite #64 #21 #74) +#80 := (ite #14 0::int #77) +#83 := (= #10 #80) +#86 := (forall (vars (?v0 int) (?v1 int)) #83) +#120 := (iff #86 #119) +#117 := (iff #83 #116) +#114 := (= #80 #113) +#111 := (= #77 #110) +#108 := (iff #64 #107) +#105 := (iff #61 #104) +#102 := (iff #18 #101) +#103 := [rewrite]: #102 +#95 := (iff #16 #94) +#96 := [rewrite]: #95 +#106 := [monotonicity #96 #103]: #105 +#98 := (iff #17 #97) +#91 := (iff #15 #90) +#92 := [rewrite]: #91 +#99 := [monotonicity #92 #96]: #98 +#109 := [monotonicity #99 #106]: #108 +#112 := [monotonicity #109]: #111 +#115 := [monotonicity #112]: #114 +#118 := [monotonicity #115]: #117 +#121 := [quant-intro #118]: #120 +#87 := (iff #28 #86) +#84 := (iff #27 #83) +#81 := (= #26 #80) +#78 := (= #25 #77) +#75 := (= #24 #74) +#72 := (= #23 #71) +#73 := [rewrite]: #72 +#69 := (= #22 #68) +#70 := [rewrite]: #69 +#76 := [monotonicity #70 #73]: #75 +#65 := (iff #20 #64) +#62 := (iff #19 #61) +#63 := [rewrite]: #62 +#66 := [monotonicity #63]: #65 +#79 := [monotonicity #66 #76]: #78 +#82 := [monotonicity #79]: #81 +#85 := [monotonicity #82]: #84 +#88 := [quant-intro #85]: #87 +#123 := [trans #88 #121]: #122 +#60 := [asserted]: #28 +#124 := [mp #60 #123]: #119 +#197 := [mp~ #124 #207]: #119 +#234 := [mp #197 #233]: #231 +#265 := [mp #234 #264]: #262 +#758 := [mp #265 #757]: #753 +#665 := (not #753) +#667 := (or #665 #176) +#339 := (* -1::int 3::int) +#423 := (* -1::int -1::int) +#424 := (div #423 #339) +#425 := (* -1::int #424) +#416 := (+ #173 #425) +#427 := (= #416 0::int) +#428 := (div -1::int 3::int) +#429 := (* -1::int #428) +#426 := (+ #173 #429) +#430 := (= #426 0::int) +#409 := (<= 3::int 0::int) +#744 := (<= -1::int 0::int) +#746 := (or #744 #409) +#403 := (not #746) +#533 := (>= -1::int 0::int) +#740 := (or #409 #533) +#414 := (not #740) +#415 := (or #414 #403) +#747 := (ite #415 #430 #427) +#748 := (= #173 0::int) +#749 := (= 3::int 0::int) +#750 := (= -1::int 0::int) +#745 := (or #750 #749) +#751 := (ite #745 #748 #747) +#677 := (or #665 #751) +#679 := (iff #677 #667) +#680 := (iff #667 #667) +#669 := [rewrite]: #680 +#676 := (iff #751 #176) +#593 := (ite false #748 #176) +#687 := (iff #593 #176) +#674 := [rewrite]: #687 +#686 := (iff #751 #593) +#591 := (iff #747 #176) +#1 := true +#587 := (ite true #176 #748) +#589 := (iff #587 #176) +#590 := [rewrite]: #589 +#588 := (iff #747 #587) +#570 := (iff #427 #748) +#682 := (= #416 #173) +#577 := (+ #173 0::int) +#586 := (= #577 #173) +#681 := [rewrite]: #586 +#536 := (= #416 #577) +#575 := (= #425 0::int) +#689 := (* -1::int 0::int) +#690 := (= #689 0::int) +#693 := [rewrite]: #690 +#691 := (= #425 #689) +#535 := (= #424 0::int) +#694 := -3::int +#702 := (div 1::int -3::int) +#532 := (= #702 0::int) +#534 := [rewrite]: #532 +#696 := (= #424 #702) +#695 := (= #339 -3::int) +#701 := [rewrite]: #695 +#717 := (= #423 1::int) +#714 := [rewrite]: #717 +#703 := [monotonicity #714 #701]: #696 +#688 := [trans #703 #534]: #535 +#692 := [monotonicity #688]: #691 +#576 := [trans #692 #693]: #575 +#684 := [monotonicity #576]: #536 +#685 := [trans #684 #681]: #682 +#585 := [monotonicity #685]: #570 +#699 := (iff #430 #176) +#705 := (+ 1::int #173) +#553 := (= #705 0::int) +#697 := (iff #553 #176) +#698 := [rewrite]: #697 +#554 := (iff #430 #553) +#706 := (= #426 #705) +#708 := (+ #173 1::int) +#710 := (= #708 #705) +#711 := [rewrite]: #710 +#709 := (= #426 #708) +#718 := (= #429 1::int) +#431 := (= #429 #423) +#715 := (= #428 -1::int) +#716 := [rewrite]: #715 +#713 := [monotonicity #716]: #431 +#707 := [trans #713 #714]: #718 +#704 := [monotonicity #707]: #709 +#712 := [trans #704 #711]: #706 +#555 := [monotonicity #712]: #554 +#700 := [trans #555 #698]: #699 +#436 := (iff #415 true) +#726 := (or true false) +#450 := (iff #726 true) +#451 := [rewrite]: #450 +#434 := (iff #415 #726) +#720 := (iff #403 false) +#722 := (not true) +#719 := (iff #722 false) +#723 := [rewrite]: #719 +#444 := (iff #403 #722) +#345 := (iff #746 true) +#448 := (iff #746 #726) +#393 := (iff #409 false) +#729 := [rewrite]: #393 +#739 := (iff #744 true) +#725 := [rewrite]: #739 +#449 := [monotonicity #725 #729]: #448 +#721 := [trans #449 #451]: #345 +#445 := [monotonicity #721]: #444 +#724 := [trans #445 #723]: #720 +#738 := (iff #414 true) +#372 := (not false) +#377 := (iff #372 true) +#378 := [rewrite]: #377 +#735 := (iff #414 #372) +#728 := (iff #740 false) +#402 := (or false false) +#727 := (iff #402 false) +#390 := [rewrite]: #727 +#732 := (iff #740 #402) +#730 := (iff #533 false) +#731 := [rewrite]: #730 +#733 := [monotonicity #729 #731]: #732 +#734 := [trans #733 #390]: #728 +#737 := [monotonicity #734]: #735 +#736 := [trans #737 #378]: #738 +#435 := [monotonicity #736 #724]: #434 +#437 := [trans #435 #451]: #436 +#581 := [monotonicity #437 #700 #585]: #588 +#592 := [trans #581 #590]: #591 +#391 := (iff #745 false) +#743 := (iff #745 #402) +#406 := (iff #749 false) +#742 := [rewrite]: #406 +#741 := (iff #750 false) +#401 := [rewrite]: #741 +#386 := [monotonicity #401 #742]: #743 +#392 := [trans #386 #390]: #391 +#683 := [monotonicity #392 #592]: #686 +#668 := [trans #683 #674]: #676 +#675 := [monotonicity #668]: #679 +#670 := [trans #675 #669]: #679 +#678 := [quant-inst]: #677 +#671 := [mp #678 #670]: #667 +[unit-resolution #671 #758 #194]: false +unsat +033c174f82b5a84d7fb4bb3712b35d17f518a720 328 0 #2 := false #41 := 2::int decl f4 :: (-> int int int) @@ -36768,329 +37090,7 @@ #641 := [mp #635 #636]: #650 [unit-resolution #641 #742 #170]: false unsat -a5e7ca3a1a908b3cfa96261b62a5e5f564ff08b5 321 0 -#2 := false -#67 := -1::int -decl f3 :: (-> int int int) -#40 := 3::int -#173 := (f3 -1::int 3::int) -#176 := (= #173 -1::int) -#189 := (not #176) -#38 := 1::int -#39 := (- 1::int) -#41 := (f3 #39 3::int) -#42 := (= #41 #39) -#43 := (not #42) -#192 := (iff #43 #189) -#179 := (= -1::int #173) -#184 := (not #179) -#190 := (iff #184 #189) -#187 := (iff #179 #176) -#188 := [rewrite]: #187 -#191 := [monotonicity #188]: #190 -#185 := (iff #43 #184) -#182 := (iff #42 #179) -#180 := (iff #176 #179) -#181 := [rewrite]: #180 -#177 := (iff #42 #176) -#171 := (= #39 -1::int) -#172 := [rewrite]: #171 -#174 := (= #41 #173) -#175 := [monotonicity #172]: #174 -#178 := [monotonicity #175 #172]: #177 -#183 := [trans #178 #181]: #182 -#186 := [monotonicity #183]: #185 -#193 := [trans #186 #191]: #192 -#170 := [asserted]: #43 -#194 := [mp #170 #193]: #189 -#9 := (:var 0 int) -#8 := (:var 1 int) -#10 := (f3 #8 #9) -#752 := (pattern #10) -#11 := 0::int -#71 := (* -1::int #9) -#68 := (* -1::int #8) -#74 := (div #68 #71) -#255 := (* -1::int #74) -#256 := (+ #10 #255) -#257 := (= #256 0::int) -#21 := (div #8 #9) -#252 := (* -1::int #21) -#253 := (+ #10 #252) -#254 := (= #253 0::int) -#93 := (<= #9 0::int) -#89 := (<= #8 0::int) -#210 := (or #89 #93) -#211 := (not #210) -#100 := (>= #8 0::int) -#202 := (or #93 #100) -#203 := (not #202) -#217 := (or #203 #211) -#258 := (ite #217 #254 #257) -#251 := (= #10 0::int) -#13 := (= #9 0::int) -#12 := (= #8 0::int) -#14 := (or #12 #13) -#259 := (ite #14 #251 #258) -#753 := (forall (vars (?v0 int) (?v1 int)) (:pat #752) #259) -#262 := (forall (vars (?v0 int) (?v1 int)) #259) -#756 := (iff #262 #753) -#754 := (iff #259 #259) -#755 := [refl]: #754 -#757 := [quant-intro #755]: #756 -#222 := (ite #217 #21 #74) -#225 := (ite #14 0::int #222) -#228 := (= #10 #225) -#231 := (forall (vars (?v0 int) (?v1 int)) #228) -#263 := (iff #231 #262) -#260 := (iff #228 #259) -#261 := [rewrite]: #260 -#264 := [quant-intro #261]: #263 -#101 := (not #100) -#94 := (not #93) -#104 := (and #94 #101) -#90 := (not #89) -#97 := (and #90 #94) -#107 := (or #97 #104) -#110 := (ite #107 #21 #74) -#113 := (ite #14 0::int #110) -#116 := (= #10 #113) -#119 := (forall (vars (?v0 int) (?v1 int)) #116) -#232 := (iff #119 #231) -#229 := (iff #116 #228) -#226 := (= #113 #225) -#223 := (= #110 #222) -#220 := (iff #107 #217) -#214 := (or #211 #203) -#218 := (iff #214 #217) -#219 := [rewrite]: #218 -#215 := (iff #107 #214) -#212 := (iff #104 #203) -#213 := [rewrite]: #212 -#200 := (iff #97 #211) -#201 := [rewrite]: #200 -#216 := [monotonicity #201 #213]: #215 -#221 := [trans #216 #219]: #220 -#224 := [monotonicity #221]: #223 -#227 := [monotonicity #224]: #226 -#230 := [monotonicity #227]: #229 -#233 := [quant-intro #230]: #232 -#206 := (~ #119 #119) -#204 := (~ #116 #116) -#205 := [refl]: #204 -#207 := [nnf-pos #205]: #206 -#23 := (- #9) -#22 := (- #8) -#24 := (div #22 #23) -#16 := (< 0::int #9) -#18 := (< #8 0::int) -#19 := (and #18 #16) -#15 := (< 0::int #8) -#17 := (and #15 #16) -#20 := (or #17 #19) -#25 := (ite #20 #21 #24) -#26 := (ite #14 0::int #25) -#27 := (= #10 #26) -#28 := (forall (vars (?v0 int) (?v1 int)) #27) -#122 := (iff #28 #119) -#61 := (and #16 #18) -#64 := (or #17 #61) -#77 := (ite #64 #21 #74) -#80 := (ite #14 0::int #77) -#83 := (= #10 #80) -#86 := (forall (vars (?v0 int) (?v1 int)) #83) -#120 := (iff #86 #119) -#117 := (iff #83 #116) -#114 := (= #80 #113) -#111 := (= #77 #110) -#108 := (iff #64 #107) -#105 := (iff #61 #104) -#102 := (iff #18 #101) -#103 := [rewrite]: #102 -#95 := (iff #16 #94) -#96 := [rewrite]: #95 -#106 := [monotonicity #96 #103]: #105 -#98 := (iff #17 #97) -#91 := (iff #15 #90) -#92 := [rewrite]: #91 -#99 := [monotonicity #92 #96]: #98 -#109 := [monotonicity #99 #106]: #108 -#112 := [monotonicity #109]: #111 -#115 := [monotonicity #112]: #114 -#118 := [monotonicity #115]: #117 -#121 := [quant-intro #118]: #120 -#87 := (iff #28 #86) -#84 := (iff #27 #83) -#81 := (= #26 #80) -#78 := (= #25 #77) -#75 := (= #24 #74) -#72 := (= #23 #71) -#73 := [rewrite]: #72 -#69 := (= #22 #68) -#70 := [rewrite]: #69 -#76 := [monotonicity #70 #73]: #75 -#65 := (iff #20 #64) -#62 := (iff #19 #61) -#63 := [rewrite]: #62 -#66 := [monotonicity #63]: #65 -#79 := [monotonicity #66 #76]: #78 -#82 := [monotonicity #79]: #81 -#85 := [monotonicity #82]: #84 -#88 := [quant-intro #85]: #87 -#123 := [trans #88 #121]: #122 -#60 := [asserted]: #28 -#124 := [mp #60 #123]: #119 -#197 := [mp~ #124 #207]: #119 -#234 := [mp #197 #233]: #231 -#265 := [mp #234 #264]: #262 -#758 := [mp #265 #757]: #753 -#665 := (not #753) -#667 := (or #665 #176) -#339 := (* -1::int 3::int) -#423 := (* -1::int -1::int) -#424 := (div #423 #339) -#425 := (* -1::int #424) -#416 := (+ #173 #425) -#427 := (= #416 0::int) -#428 := (div -1::int 3::int) -#429 := (* -1::int #428) -#426 := (+ #173 #429) -#430 := (= #426 0::int) -#409 := (<= 3::int 0::int) -#744 := (<= -1::int 0::int) -#746 := (or #744 #409) -#403 := (not #746) -#533 := (>= -1::int 0::int) -#740 := (or #409 #533) -#414 := (not #740) -#415 := (or #414 #403) -#747 := (ite #415 #430 #427) -#748 := (= #173 0::int) -#749 := (= 3::int 0::int) -#750 := (= -1::int 0::int) -#745 := (or #750 #749) -#751 := (ite #745 #748 #747) -#677 := (or #665 #751) -#679 := (iff #677 #667) -#680 := (iff #667 #667) -#669 := [rewrite]: #680 -#676 := (iff #751 #176) -#593 := (ite false #748 #176) -#687 := (iff #593 #176) -#674 := [rewrite]: #687 -#686 := (iff #751 #593) -#591 := (iff #747 #176) -#1 := true -#587 := (ite true #176 #748) -#589 := (iff #587 #176) -#590 := [rewrite]: #589 -#588 := (iff #747 #587) -#570 := (iff #427 #748) -#682 := (= #416 #173) -#577 := (+ #173 0::int) -#586 := (= #577 #173) -#681 := [rewrite]: #586 -#536 := (= #416 #577) -#575 := (= #425 0::int) -#689 := (* -1::int 0::int) -#690 := (= #689 0::int) -#693 := [rewrite]: #690 -#691 := (= #425 #689) -#535 := (= #424 0::int) -#694 := -3::int -#702 := (div 1::int -3::int) -#532 := (= #702 0::int) -#534 := [rewrite]: #532 -#696 := (= #424 #702) -#695 := (= #339 -3::int) -#701 := [rewrite]: #695 -#717 := (= #423 1::int) -#714 := [rewrite]: #717 -#703 := [monotonicity #714 #701]: #696 -#688 := [trans #703 #534]: #535 -#692 := [monotonicity #688]: #691 -#576 := [trans #692 #693]: #575 -#684 := [monotonicity #576]: #536 -#685 := [trans #684 #681]: #682 -#585 := [monotonicity #685]: #570 -#699 := (iff #430 #176) -#705 := (+ 1::int #173) -#553 := (= #705 0::int) -#697 := (iff #553 #176) -#698 := [rewrite]: #697 -#554 := (iff #430 #553) -#706 := (= #426 #705) -#708 := (+ #173 1::int) -#710 := (= #708 #705) -#711 := [rewrite]: #710 -#709 := (= #426 #708) -#718 := (= #429 1::int) -#431 := (= #429 #423) -#715 := (= #428 -1::int) -#716 := [rewrite]: #715 -#713 := [monotonicity #716]: #431 -#707 := [trans #713 #714]: #718 -#704 := [monotonicity #707]: #709 -#712 := [trans #704 #711]: #706 -#555 := [monotonicity #712]: #554 -#700 := [trans #555 #698]: #699 -#436 := (iff #415 true) -#726 := (or true false) -#450 := (iff #726 true) -#451 := [rewrite]: #450 -#434 := (iff #415 #726) -#720 := (iff #403 false) -#722 := (not true) -#719 := (iff #722 false) -#723 := [rewrite]: #719 -#444 := (iff #403 #722) -#345 := (iff #746 true) -#448 := (iff #746 #726) -#393 := (iff #409 false) -#729 := [rewrite]: #393 -#739 := (iff #744 true) -#725 := [rewrite]: #739 -#449 := [monotonicity #725 #729]: #448 -#721 := [trans #449 #451]: #345 -#445 := [monotonicity #721]: #444 -#724 := [trans #445 #723]: #720 -#738 := (iff #414 true) -#372 := (not false) -#377 := (iff #372 true) -#378 := [rewrite]: #377 -#735 := (iff #414 #372) -#728 := (iff #740 false) -#402 := (or false false) -#727 := (iff #402 false) -#390 := [rewrite]: #727 -#732 := (iff #740 #402) -#730 := (iff #533 false) -#731 := [rewrite]: #730 -#733 := [monotonicity #729 #731]: #732 -#734 := [trans #733 #390]: #728 -#737 := [monotonicity #734]: #735 -#736 := [trans #737 #378]: #738 -#435 := [monotonicity #736 #724]: #434 -#437 := [trans #435 #451]: #436 -#581 := [monotonicity #437 #700 #585]: #588 -#592 := [trans #581 #590]: #591 -#391 := (iff #745 false) -#743 := (iff #745 #402) -#406 := (iff #749 false) -#742 := [rewrite]: #406 -#741 := (iff #750 false) -#401 := [rewrite]: #741 -#386 := [monotonicity #401 #742]: #743 -#392 := [trans #386 #390]: #391 -#683 := [monotonicity #392 #592]: #686 -#668 := [trans #683 #674]: #676 -#675 := [monotonicity #668]: #679 -#670 := [trans #675 #669]: #679 -#678 := [quant-inst]: #677 -#671 := [mp #678 #670]: #667 -[unit-resolution #671 #758 #194]: false -unsat -4a26f9179dc065943e8b39f87c50b753014abca8 323 0 +d42aa6984a7dce484750bcd7fd3519e7754fc33c 323 0 #2 := false #68 := -1::int decl f3 :: (-> int int int) @@ -37414,7 +37414,7 @@ #673 := [mp #671 #684]: #672 [unit-resolution #673 #762 #198]: false unsat -f77523eb025c744a899f70384fe23771c2e2df49 335 0 +9a87ecccd917767a2618c6aa64ea49313201d461 335 0 #2 := false #179 := -2::int decl f4 :: (-> int int int) @@ -37750,7 +37750,7 @@ #666 := [mp #673 #665]: #671 [unit-resolution #666 #759 #190]: false unsat -aa5c848d75f817ce17fcfbcc43fdae3201eb9151 326 0 +ad2a6875c2ba06fc01a6747490a7bde0bd97929e 326 0 #2 := false #179 := -2::int decl f3 :: (-> int int int) @@ -38077,7 +38077,7 @@ #654 := [mp #652 #658]: #661 [unit-resolution #654 #753 #190]: false unsat -51326f007e56e93f50afc5ba2d03581cdc697a2d 328 0 +b80549d22ecf7f5cd139430555c8f40a8bf6eaf1 328 0 #2 := false #11 := 0::int decl f4 :: (-> int int int) @@ -38406,7 +38406,7 @@ #688 := [mp #591 #684]: #582 [unit-resolution #688 #766 #194]: false unsat -4ca477e5a43a16dacbb90f983ac5a8510c16d464 327 0 +f5bac51774cbba53d38c1b1a54df34cd76c05e60 327 0 #2 := false #11 := 0::int decl f3 :: (-> int int int) @@ -38734,7 +38734,7 @@ #670 := [mp #679 #676]: #682 [unit-resolution #670 #762 #198]: false unsat -0f74c41c938e9378ba24d8b61b7a4d0b50210370 356 0 +0b4939d8f1f4bc7cd881c6a957ccad857d8a1074 356 0 #2 := false #69 := -1::int decl f4 :: (-> int int int) @@ -39091,7 +39091,7 @@ #669 := [mp #663 #664]: #678 [unit-resolution #669 #770 #199]: false unsat -ddc5a6b304650a08be4d46afd02b8b25ea1c25a2 311 0 +970747fa305dc2e610f7c82f817720c0ccc3a165 311 0 #2 := false #41 := 1::int decl f3 :: (-> int int int) @@ -39403,7 +39403,7 @@ #677 := [mp #593 #675]: #591 [unit-resolution #677 #759 #195]: false unsat -3c5a12d92626ff8ea2f3e7c2d04bebd45ef00916 350 0 +fdc90ed3bd1ececd431bc0c6098387ca00c73cfc 350 0 #2 := false #42 := 2::int decl f4 :: (-> int int int) @@ -39754,7 +39754,7 @@ #664 := [mp #674 #663]: #673 [unit-resolution #664 #766 #195]: false unsat -081d17418769caf8ceb0841229da368f6008d179 338 0 +b3920b336e88838381046f8db8a66873eedc037f 338 0 #2 := false #43 := 1::int decl f3 :: (-> int int int) @@ -40093,7 +40093,7 @@ #670 := [mp #664 #665]: #679 [unit-resolution #670 #764 #200]: false unsat -9ee8d0dc4ede7b68c19a265d2c4cda80156ee20b 331 0 +751a59e3560a9cccfdefaac76c413ce978cf57af 331 0 #2 := false #11 := 0::int decl f4 :: (-> int int int) @@ -40425,7 +40425,7 @@ #669 := [mp #594 #677]: #592 [unit-resolution #669 #766 #194]: false unsat -ab1c3c43720ded895d2a82ffbaf56e6367dbc9b8 592 0 +1e04803c850b7955989debde9ec201f52ca7253f 592 0 #2 := false #11 := 0::int decl f3 :: (-> int int int) @@ -41018,7 +41018,7 @@ #362 := [unit-resolution #397 #361]: #600 [th-lemma #362 #415 #382 #378]: false unsat -0dff6836610ad24fd350792fdba18f67fffe78ae 353 0 +0014d0664084b0406eb7d7fe8514292d539673ea 353 0 #2 := false #42 := 1::int decl f4 :: (-> int int int) @@ -41372,7 +41372,7 @@ #666 := [mp #660 #661]: #675 [unit-resolution #666 #767 #196]: false unsat -f7d21861165159375bc45e6364e84fc0183b7f2c 549 0 +b73a0de984e1278677e252eddd5f49245a89ef43 549 0 #2 := false #11 := 0::int decl f3 :: (-> int int int) @@ -41922,7 +41922,7 @@ #478 := [unit-resolution #470 #507]: #751 [th-lemma #478 #476 #486 #472]: false unsat -2131919aacf2b81143bdcdf048ab7c7b571f4dab 350 0 +69b248ec4c8c22d71fd11309dbdf636ac009612d 350 0 #2 := false #68 := -1::int decl f4 :: (-> int int int) @@ -42273,7 +42273,7 @@ #664 := [mp #675 #662]: #673 [unit-resolution #664 #769 #198]: false unsat -f185b775c0ed207acb3897bf916bd950213b79f9 319 0 +206d37ba92a2e6c0100ce1d13f8823dad1d40cd1 319 0 #2 := false #11 := 0::int decl f4 :: (-> int int int) @@ -42593,7 +42593,7 @@ #589 := [mp #682 #588]: #685 [unit-resolution #589 #766 #194]: false unsat -b8a677f41acfea6ca1bd28f53fd89f2c10758abc 75 0 +cc9432c40327db517dd79cbbd0d9d26dcbfe5cac 75 0 #2 := false #8 := 0::int decl f3 :: int @@ -42669,7 +42669,7 @@ #96 := [unit-resolution #95 #92]: #90 [th-lemma #89 #70 #96]: false unsat -957272aa2f77e61687a16c7aa490ba2664908958 132 0 +48eb42104c7475e8c3a01fc47d1fb95a5b64e0b9 132 0 #2 := false #9 := 0::int decl f3 :: int @@ -42802,7 +42802,7 @@ #162 := [th-lemma]: #161 [unit-resolution #162 #160 #143]: false unsat -9485d306079aa8cdc08952543a8ac86391d45fc0 103 0 +029c5fe4db8f26b45338d7437b6be2ddd1a19e85 103 0 #2 := false #8 := 0::int decl f3 :: int @@ -42906,7 +42906,7 @@ #124 := [unit-resolution #123 #120]: #115 [th-lemma #110 #124]: false unsat -fc9f250b0540aecbc3a008bfe364829a1228d272 347 0 +830c72401ff6ad8a8e8d6573aef1bb4cebf52b34 347 0 #2 := false #183 := -2::int decl f4 :: (-> int int int) @@ -43254,7 +43254,7 @@ #661 := [mp #665 #660]: #670 [unit-resolution #661 #764 #194]: false unsat -443d726f158e992756000aa2462469d5494d62ee 149 0 +52af3e6f56c34eae5bf2a6d6b943c47275276ffc 149 0 #2 := false #9 := 0::int decl f3 :: int @@ -43404,7 +43404,7 @@ #170 := [unit-resolution #169 #155]: #97 [th-lemma #159 #170 #167]: false unsat -5d75c12dca04a93af891e80a12133cb48b0e8ce3 114 0 +a6116a7f03a76aa4ac7d1dcd46146a27d6d63ab1 114 0 #2 := false #9 := 0::int decl f3 :: int @@ -43519,7 +43519,7 @@ #143 := [unit-resolution #142 #139]: #137 [th-lemma #136 #134 #143]: false unsat -1c29e683939b29daf6c0c39d6dc5211f90494d2b 57 0 +e4b94493f8fddbc193be4dbfae372055ca4cbda1 57 0 #2 := false #36 := 0::int decl f4 :: int @@ -43577,7 +43577,7 @@ #77 := [th-lemma]: #76 [unit-resolution #77 #74 #56]: false unsat -66247d826364718443f0bc07b82495d982768eb5 327 0 +0296c8b047bf7c4a566214ff7059485e4b909dfc 327 0 #2 := false #11 := 0::int decl f5 :: int @@ -43905,7 +43905,7 @@ #595 := [unit-resolution #594 #613]: #727 [unit-resolution #595 #482 #589]: false unsat -f5bdd04ade0ff62ddedb44ca71a4ab32cea43ed1 57 0 +91e3b65fe0735963e19e3d7ce9fe3c5222eb3f2d 57 0 #2 := false #36 := 0::int decl f4 :: int @@ -43963,7 +43963,7 @@ #77 := [unit-resolution #76 #73]: #71 [th-lemma #77 #56 #72]: false unsat -db7c87847633d861c99b1fec84d68fb0617d9c27 103 0 +e8ac648521d18274c15ba44956491a942644e11b 103 0 #2 := false #45 := 0::int decl f5 :: int @@ -44067,7 +44067,7 @@ #122 := [unit-resolution #121 #118]: #115 [th-lemma #122 #92 #93]: false unsat -30ec056750b76c9c44be73825eb8959f04eaf2af 86 0 +ce75b686fb3c3081849ae555f6c4209952006101 86 0 #2 := false decl f3 :: int #8 := f3 @@ -44154,7 +44154,7 @@ #105 := [trans #104 #83]: #51 [unit-resolution #57 #105]: false unsat -87cffe59a43ecd3ffcda40df06578c44d2a9feac 68 0 +5ed6ad8b6d8d132011755b1d04d869cf48c13481 68 0 #2 := false #8 := 0::int decl f3 :: int @@ -44223,132 +44223,7 @@ #88 := [trans #87 #84]: #13 [unit-resolution #71 #88]: false unsat -90c0dd925b0006ab13047c20a6f0e8d277ec4cdf 124 0 -#2 := false -#13 := 0::int -decl f4 :: int -#9 := f4 -decl f3 :: int -#8 := f3 -#36 := -1::int -#38 := (* -1::int f4) -#51 := (+ f3 #38) -#52 := (<= #51 0::int) -#55 := (ite #52 f3 f4) -#103 := (* -1::int #55) -#104 := (+ f3 #103) -#106 := (>= #104 0::int) -#91 := (= f3 #55) -#105 := (+ f4 #103) -#123 := (>= #105 0::int) -#92 := (= f4 #55) -#93 := (not #52) -#134 := [hypothesis]: #93 -#90 := (or #52 #92) -#88 := [def-axiom]: #90 -#135 := [unit-resolution #88 #134]: #92 -#126 := (not #92) -#127 := (or #126 #123) -#128 := [th-lemma]: #127 -#136 := [unit-resolution #128 #135]: #123 -#37 := (* -1::int f3) -#39 := (+ #37 #38) -#12 := (+ f3 f4) -#58 := (>= #12 0::int) -#65 := (ite #58 #12 #39) -#73 := (* -1::int #65) -#74 := (+ #55 #73) -#75 := (<= #74 0::int) -#80 := (not #75) -#15 := (- #12) -#14 := (< #12 0::int) -#16 := (ite #14 #15 #12) -#10 := (<= f3 f4) -#11 := (ite #10 f3 f4) -#17 := (<= #11 #16) -#18 := (not #17) -#83 := (iff #18 #80) -#42 := (ite #14 #39 #12) -#45 := (<= #11 #42) -#48 := (not #45) -#81 := (iff #48 #80) -#78 := (iff #45 #75) -#70 := (<= #55 #65) -#76 := (iff #70 #75) -#77 := [rewrite]: #76 -#71 := (iff #45 #70) -#68 := (= #42 #65) -#59 := (not #58) -#62 := (ite #59 #39 #12) -#66 := (= #62 #65) -#67 := [rewrite]: #66 -#63 := (= #42 #62) -#60 := (iff #14 #59) -#61 := [rewrite]: #60 -#64 := [monotonicity #61]: #63 -#69 := [trans #64 #67]: #68 -#56 := (= #11 #55) -#53 := (iff #10 #52) -#54 := [rewrite]: #53 -#57 := [monotonicity #54]: #56 -#72 := [monotonicity #57 #69]: #71 -#79 := [trans #72 #77]: #78 -#82 := [monotonicity #79]: #81 -#49 := (iff #18 #48) -#46 := (iff #17 #45) -#43 := (= #16 #42) -#40 := (= #15 #39) -#41 := [rewrite]: #40 -#44 := [monotonicity #41]: #43 -#47 := [monotonicity #44]: #46 -#50 := [monotonicity #47]: #49 -#84 := [trans #50 #82]: #83 -#35 := [asserted]: #18 -#85 := [mp #35 #84]: #80 -#102 := (+ #12 #73) -#122 := (<= #102 0::int) -#86 := (= #12 #65) -#108 := [hypothesis]: #59 -#120 := (or #93 #58) -#107 := [hypothesis]: #52 -#100 := (+ #39 #73) -#101 := (<= #100 0::int) -#95 := (= #39 #65) -#98 := (or #58 #95) -#99 := [def-axiom]: #98 -#109 := [unit-resolution #99 #108]: #95 -#110 := (not #95) -#111 := (or #110 #101) -#112 := [th-lemma]: #111 -#113 := [unit-resolution #112 #109]: #101 -#94 := (or #93 #91) -#89 := [def-axiom]: #94 -#114 := [unit-resolution #89 #107]: #91 -#115 := (not #91) -#116 := (or #115 #106) -#117 := [th-lemma]: #116 -#118 := [unit-resolution #117 #114]: #106 -#119 := [th-lemma #108 #118 #113 #85 #107]: false -#121 := [lemma #119]: #120 -#124 := [unit-resolution #121 #108]: #93 -#125 := [unit-resolution #88 #124]: #92 -#129 := [unit-resolution #128 #125]: #123 -#130 := [th-lemma #113 #85 #108 #124 #129]: false -#131 := [lemma #130]: #58 -#96 := (or #59 #86) -#97 := [def-axiom]: #96 -#137 := [unit-resolution #97 #131]: #86 -#138 := (not #86) -#139 := (or #138 #122) -#140 := [th-lemma]: #139 -#141 := [unit-resolution #140 #137]: #122 -#142 := [th-lemma #134 #131 #141 #85 #136]: false -#143 := [lemma #142]: #52 -#144 := [unit-resolution #89 #143]: #91 -#145 := [unit-resolution #117 #144]: #106 -[th-lemma #131 #143 #141 #85 #145]: false -unsat -e48a7e8698a7ec4071541fd4399337a2b0f4fdb6 345 0 +f33aa883aeb7c21943e04cb493978fec1eef7863 345 0 #2 := false #39 := 3::int decl f4 :: (-> int int int) @@ -44694,7 +44569,132 @@ #624 := [unit-resolution #628 #626]: #707 [th-lemma #624 #612 #206 #631 #648]: false unsat -de67b37b9c3eba477099ff5d9b09e840de376762 57 0 +676aec4873ed7d4eeb51bdde607873c00764a075 124 0 +#2 := false +#13 := 0::int +decl f4 :: int +#9 := f4 +decl f3 :: int +#8 := f3 +#36 := -1::int +#38 := (* -1::int f4) +#51 := (+ f3 #38) +#52 := (<= #51 0::int) +#55 := (ite #52 f3 f4) +#103 := (* -1::int #55) +#104 := (+ f3 #103) +#106 := (>= #104 0::int) +#91 := (= f3 #55) +#105 := (+ f4 #103) +#123 := (>= #105 0::int) +#92 := (= f4 #55) +#93 := (not #52) +#134 := [hypothesis]: #93 +#90 := (or #52 #92) +#88 := [def-axiom]: #90 +#135 := [unit-resolution #88 #134]: #92 +#126 := (not #92) +#127 := (or #126 #123) +#128 := [th-lemma]: #127 +#136 := [unit-resolution #128 #135]: #123 +#37 := (* -1::int f3) +#39 := (+ #37 #38) +#12 := (+ f3 f4) +#58 := (>= #12 0::int) +#65 := (ite #58 #12 #39) +#73 := (* -1::int #65) +#74 := (+ #55 #73) +#75 := (<= #74 0::int) +#80 := (not #75) +#15 := (- #12) +#14 := (< #12 0::int) +#16 := (ite #14 #15 #12) +#10 := (<= f3 f4) +#11 := (ite #10 f3 f4) +#17 := (<= #11 #16) +#18 := (not #17) +#83 := (iff #18 #80) +#42 := (ite #14 #39 #12) +#45 := (<= #11 #42) +#48 := (not #45) +#81 := (iff #48 #80) +#78 := (iff #45 #75) +#70 := (<= #55 #65) +#76 := (iff #70 #75) +#77 := [rewrite]: #76 +#71 := (iff #45 #70) +#68 := (= #42 #65) +#59 := (not #58) +#62 := (ite #59 #39 #12) +#66 := (= #62 #65) +#67 := [rewrite]: #66 +#63 := (= #42 #62) +#60 := (iff #14 #59) +#61 := [rewrite]: #60 +#64 := [monotonicity #61]: #63 +#69 := [trans #64 #67]: #68 +#56 := (= #11 #55) +#53 := (iff #10 #52) +#54 := [rewrite]: #53 +#57 := [monotonicity #54]: #56 +#72 := [monotonicity #57 #69]: #71 +#79 := [trans #72 #77]: #78 +#82 := [monotonicity #79]: #81 +#49 := (iff #18 #48) +#46 := (iff #17 #45) +#43 := (= #16 #42) +#40 := (= #15 #39) +#41 := [rewrite]: #40 +#44 := [monotonicity #41]: #43 +#47 := [monotonicity #44]: #46 +#50 := [monotonicity #47]: #49 +#84 := [trans #50 #82]: #83 +#35 := [asserted]: #18 +#85 := [mp #35 #84]: #80 +#102 := (+ #12 #73) +#122 := (<= #102 0::int) +#86 := (= #12 #65) +#108 := [hypothesis]: #59 +#120 := (or #93 #58) +#107 := [hypothesis]: #52 +#100 := (+ #39 #73) +#101 := (<= #100 0::int) +#95 := (= #39 #65) +#98 := (or #58 #95) +#99 := [def-axiom]: #98 +#109 := [unit-resolution #99 #108]: #95 +#110 := (not #95) +#111 := (or #110 #101) +#112 := [th-lemma]: #111 +#113 := [unit-resolution #112 #109]: #101 +#94 := (or #93 #91) +#89 := [def-axiom]: #94 +#114 := [unit-resolution #89 #107]: #91 +#115 := (not #91) +#116 := (or #115 #106) +#117 := [th-lemma]: #116 +#118 := [unit-resolution #117 #114]: #106 +#119 := [th-lemma #108 #118 #113 #85 #107]: false +#121 := [lemma #119]: #120 +#124 := [unit-resolution #121 #108]: #93 +#125 := [unit-resolution #88 #124]: #92 +#129 := [unit-resolution #128 #125]: #123 +#130 := [th-lemma #113 #85 #108 #124 #129]: false +#131 := [lemma #130]: #58 +#96 := (or #59 #86) +#97 := [def-axiom]: #96 +#137 := [unit-resolution #97 #131]: #86 +#138 := (not #86) +#139 := (or #138 #122) +#140 := [th-lemma]: #139 +#141 := [unit-resolution #140 #137]: #122 +#142 := [th-lemma #134 #131 #141 #85 #136]: false +#143 := [lemma #142]: #52 +#144 := [unit-resolution #89 #143]: #91 +#145 := [unit-resolution #117 #144]: #106 +[th-lemma #131 #143 #141 #85 #145]: false +unsat +8c7ea6775a14dcc4e6e4353a2f19b1779116c872 57 0 #2 := false #36 := 0::int decl f4 :: int @@ -44752,7 +44752,7 @@ #77 := [unit-resolution #76 #73]: #70 [th-lemma #77 #56 #72]: false unsat -8f0b2c755e25c9b0ef5750035ec56d21d3c6b32f 57 0 +d2ac6a0bd8f242b6fea1d95d6a700ca235f7739e 57 0 #2 := false #35 := 0::int decl f4 :: int @@ -44810,7 +44810,7 @@ #77 := [th-lemma]: #76 [unit-resolution #77 #74 #56]: false unsat -ba050e782d9473f46d4f759400e69d34d257264e 103 0 +8bc37b5efc45a2f7051f9fdaf148c2248f44ab13 103 0 #2 := false #45 := 0::int decl f3 :: int @@ -44914,7 +44914,7 @@ #122 := [unit-resolution #121 #118]: #116 [th-lemma #122 #91 #93]: false unsat -9c2cfdc304fee997e8f612dd9123abd86a877f29 88 0 +3bd554374bbb33d45f736a3866c11a3228de58fe 88 0 #2 := false decl f4 :: int #9 := f4 @@ -45003,64 +45003,7 @@ #109 := [trans #108 #83]: #51 [unit-resolution #57 #109]: false unsat -efdfb7635dd41e99f117d8463d9d75f3897207dd 56 0 -#2 := false -#11 := 1::int -decl f3 :: int -#9 := f3 -#14 := (= f3 1::int) -#12 := (<= f3 1::int) -#8 := 0::int -#41 := (<= f3 0::int) -#42 := (not #41) -#48 := (and #12 #42) -#53 := (not #48) -#59 := (or #14 #53) -#64 := (not #59) -#10 := (< 0::int f3) -#13 := (and #10 #12) -#15 := (implies #13 #14) -#16 := (not #15) -#67 := (iff #16 #64) -#34 := (not #13) -#35 := (or #34 #14) -#38 := (not #35) -#65 := (iff #38 #64) -#62 := (iff #35 #59) -#56 := (or #53 #14) -#60 := (iff #56 #59) -#61 := [rewrite]: #60 -#57 := (iff #35 #56) -#54 := (iff #34 #53) -#51 := (iff #13 #48) -#45 := (and #42 #12) -#49 := (iff #45 #48) -#50 := [rewrite]: #49 -#46 := (iff #13 #45) -#43 := (iff #10 #42) -#44 := [rewrite]: #43 -#47 := [monotonicity #44]: #46 -#52 := [trans #47 #50]: #51 -#55 := [monotonicity #52]: #54 -#58 := [monotonicity #55]: #57 -#63 := [trans #58 #61]: #62 -#66 := [monotonicity #63]: #65 -#39 := (iff #16 #38) -#36 := (iff #15 #35) -#37 := [rewrite]: #36 -#40 := [monotonicity #37]: #39 -#68 := [trans #40 #66]: #67 -#33 := [asserted]: #16 -#69 := [mp #33 #68]: #64 -#72 := [not-or-elim #69]: #48 -#73 := [and-elim #72]: #12 -#74 := [and-elim #72]: #42 -#85 := [th-lemma #74 #73]: #14 -#70 := (not #14) -#71 := [not-or-elim #69]: #70 -[unit-resolution #71 #85]: false -unsat -66ca5933e35ee3faa0336268f65c331335330f57 66 0 +0a0200d3ff0127396d33719b1042db644955b4a6 66 0 #2 := false decl f3 :: int #9 := f3 @@ -45127,26 +45070,7 @@ #86 := [trans #83 #85]: #33 [unit-resolution #69 #86]: false unsat -6a196ac012aba8c7b41b1d8437b14fc3fb23e5a4 18 0 -#2 := false -decl f3 :: int -#8 := f3 -#9 := (<= f3 f3) -#10 := (not #9) -#37 := (iff #10 false) -#1 := true -#32 := (not true) -#35 := (iff #32 false) -#36 := [rewrite]: #35 -#33 := (iff #10 #32) -#30 := (iff #9 true) -#31 := [rewrite]: #30 -#34 := [monotonicity #31]: #33 -#38 := [trans #34 #36]: #37 -#27 := [asserted]: #10 -[mp #27 #38]: false -unsat -a176c257f1c89ffea971e08639242e005fb1222f 228 0 +8577a1a174a114007fec8ab3e02f9bb87a08d3a4 228 0 #2 := false #9 := 0::int decl f4 :: int @@ -45375,7 +45299,83 @@ #250 := [unit-resolution #196 #249]: #190 [th-lemma #236 #250 #131 #234 #248 #238]: false unsat -4afe860c901fd901bf34dc83b799fd986f9e4155 51 0 +5113b523f1372e7b618c36a10fb907e6373d5abd 56 0 +#2 := false +#11 := 1::int +decl f3 :: int +#9 := f3 +#14 := (= f3 1::int) +#12 := (<= f3 1::int) +#8 := 0::int +#41 := (<= f3 0::int) +#42 := (not #41) +#48 := (and #12 #42) +#53 := (not #48) +#59 := (or #14 #53) +#64 := (not #59) +#10 := (< 0::int f3) +#13 := (and #10 #12) +#15 := (implies #13 #14) +#16 := (not #15) +#67 := (iff #16 #64) +#34 := (not #13) +#35 := (or #34 #14) +#38 := (not #35) +#65 := (iff #38 #64) +#62 := (iff #35 #59) +#56 := (or #53 #14) +#60 := (iff #56 #59) +#61 := [rewrite]: #60 +#57 := (iff #35 #56) +#54 := (iff #34 #53) +#51 := (iff #13 #48) +#45 := (and #42 #12) +#49 := (iff #45 #48) +#50 := [rewrite]: #49 +#46 := (iff #13 #45) +#43 := (iff #10 #42) +#44 := [rewrite]: #43 +#47 := [monotonicity #44]: #46 +#52 := [trans #47 #50]: #51 +#55 := [monotonicity #52]: #54 +#58 := [monotonicity #55]: #57 +#63 := [trans #58 #61]: #62 +#66 := [monotonicity #63]: #65 +#39 := (iff #16 #38) +#36 := (iff #15 #35) +#37 := [rewrite]: #36 +#40 := [monotonicity #37]: #39 +#68 := [trans #40 #66]: #67 +#33 := [asserted]: #16 +#69 := [mp #33 #68]: #64 +#72 := [not-or-elim #69]: #48 +#73 := [and-elim #72]: #12 +#74 := [and-elim #72]: #42 +#85 := [th-lemma #74 #73]: #14 +#70 := (not #14) +#71 := [not-or-elim #69]: #70 +[unit-resolution #71 #85]: false +unsat +62b700db02f2de2fa17813b51c0e2aba7a4c9eab 18 0 +#2 := false +decl f3 :: int +#8 := f3 +#9 := (<= f3 f3) +#10 := (not #9) +#37 := (iff #10 false) +#1 := true +#32 := (not true) +#35 := (iff #32 false) +#36 := [rewrite]: #35 +#33 := (iff #10 #32) +#30 := (iff #9 true) +#31 := [rewrite]: #30 +#34 := [monotonicity #31]: #33 +#38 := [trans #34 #36]: #37 +#27 := [asserted]: #10 +[mp #27 #38]: false +unsat +096109feda0c7355b238e40d53b92530b4dac963 51 0 #2 := false decl f4 :: int #9 := f4 @@ -45427,7 +45427,7 @@ #33 := [asserted]: #16 [mp #33 #68]: false unsat -5551b99ea77d386f007b1b1979a0b6b379c3a347 56 0 +b5e5bf38e2f1c07ae123d010d3ca139589460e87 56 0 #2 := false decl f4 :: int #9 := f4 @@ -45484,7 +45484,7 @@ #33 := [asserted]: #16 [mp #33 #73]: false unsat -76fdd03dce324fb45070b1e1983f0a282cda6fa6 52 0 +fed98b15794bca1381978ee51c537989f6976c21 52 0 #2 := false #40 := 0::int decl f4 :: int @@ -45537,7 +45537,7 @@ #77 := [unit-resolution #76 #65]: #53 [unit-resolution #77 #67]: false unsat -550f7d68b0836924510ab12e5b3c4ed9f6c794bb 73 0 +87f174d87c949beb4788f98812dca55337bf0039 73 0 #2 := false #58 := 0::int decl f4 :: int @@ -45611,25 +45611,7 @@ #78 := [unit-resolution #82 #74]: #83 [unit-resolution #78 #92 #89]: false unsat -0eeabd2aea1625cea2b9a9ade1eee621e6dfb534 17 0 -#2 := false -#8 := 0::real -#9 := (= 0::real 0::real) -#10 := (not #9) -#35 := (iff #10 false) -#1 := true -#30 := (not true) -#33 := (iff #30 false) -#34 := [rewrite]: #33 -#31 := (iff #10 #30) -#28 := (iff #9 true) -#29 := [rewrite]: #28 -#32 := [monotonicity #29]: #31 -#36 := [trans #32 #34]: #35 -#27 := [asserted]: #10 -[mp #27 #36]: false -unsat -65c77124096528f9cb7c1cb6b89625b62f5eeb2a 15 0 +e9fb6be58fab173c96da99cb14354ad048f64a9a 15 0 #2 := false decl f3 :: int #8 := f3 @@ -45645,33 +45627,7 @@ #28 := [asserted]: #11 [mp #28 #34]: false unsat -582ef11d89a67dd029d6b29272ca6688d8312bd7 25 0 -#2 := false -#8 := 0::real -#9 := (- 0::real) -#10 := (= 0::real #9) -#11 := (not #10) -#43 := (iff #11 false) -#1 := true -#38 := (not true) -#41 := (iff #38 false) -#42 := [rewrite]: #41 -#39 := (iff #11 #38) -#36 := (iff #10 true) -#31 := (= 0::real 0::real) -#34 := (iff #31 true) -#35 := [rewrite]: #34 -#32 := (iff #10 #31) -#29 := (= #9 0::real) -#30 := [rewrite]: #29 -#33 := [monotonicity #30]: #32 -#37 := [trans #33 #35]: #36 -#40 := [monotonicity #37]: #39 -#44 := [trans #40 #42]: #43 -#28 := [asserted]: #11 -[mp #28 #44]: false -unsat -8aa9d7db6e905a29f4a4232a6a82f51c63e2641b 75 0 +2e519318d3bea148863de330ab0d886976088a08 75 0 #2 := false #53 := 0::int decl f4 :: int @@ -45747,25 +45703,7 @@ #89 := [not-or-elim #88]: #54 [th-lemma #89 #91 #92]: false unsat -4de73c1caf8d03027271f9dfec62b23debf65d9b 17 0 -#2 := false -#8 := 1::real -#9 := (= 1::real 1::real) -#10 := (not #9) -#35 := (iff #10 false) -#1 := true -#30 := (not true) -#33 := (iff #30 false) -#34 := [rewrite]: #33 -#31 := (iff #10 #30) -#28 := (iff #9 true) -#29 := [rewrite]: #28 -#32 := [monotonicity #29]: #31 -#36 := [trans #32 #34]: #35 -#27 := [asserted]: #10 -[mp #27 #36]: false -unsat -625ca444862ba21a1fa0a52470751952d4f5acee 80 0 +d957e317464f75f14f0257c9a9e3944a4c7e56fa 80 0 #2 := false #53 := 0::int decl f4 :: int @@ -45846,61 +45784,7 @@ #94 := [not-or-elim #93]: #54 [th-lemma #94 #96 #97]: false unsat -793c5962cbb9973917b8d8c66a2d2a3d94594803 34 0 -#2 := false -#8 := 1::real -#9 := (- 1::real) -#10 := (= #9 1::real) -#11 := (not #10) -#12 := (not #11) -#52 := (iff #12 false) -#1 := true -#47 := (not true) -#50 := (iff #47 false) -#51 := [rewrite]: #50 -#48 := (iff #12 #47) -#45 := (iff #11 true) -#40 := (not false) -#43 := (iff #40 true) -#44 := [rewrite]: #43 -#41 := (iff #11 #40) -#38 := (iff #10 false) -#30 := -1::real -#33 := (= -1::real 1::real) -#36 := (iff #33 false) -#37 := [rewrite]: #36 -#34 := (iff #10 #33) -#31 := (= #9 -1::real) -#32 := [rewrite]: #31 -#35 := [monotonicity #32]: #34 -#39 := [trans #35 #37]: #38 -#42 := [monotonicity #39]: #41 -#46 := [trans #42 #44]: #45 -#49 := [monotonicity #46]: #48 -#53 := [trans #49 #51]: #52 -#29 := [asserted]: #12 -[mp #29 #53]: false -unsat -8f6bb26e23c49df219a9fc6920a8bbad56872cba 18 0 -#2 := false -#9 := 1::real -#8 := 0::real -#10 := (< 0::real 1::real) -#11 := (not #10) -#38 := (iff #11 false) -#1 := true -#33 := (not true) -#36 := (iff #33 false) -#37 := [rewrite]: #36 -#34 := (iff #11 #33) -#31 := (iff #10 true) -#32 := [rewrite]: #31 -#35 := [monotonicity #32]: #34 -#39 := [trans #35 #37]: #38 -#28 := [asserted]: #11 -[mp #28 #39]: false -unsat -59582f385e59c3a49a302bb1b9701c92bb368fac 80 0 +1e6359b823e59d7a3bc20a06b7948d9799fc1ea2 80 0 #2 := false #52 := 0::int decl f4 :: int @@ -45981,26 +45865,7 @@ #96 := [not-or-elim #93]: #95 [th-lemma #96 #94 #97]: false unsat -6edbad6a7b2935c8d856f03c54b56bf43891a380 18 0 -#2 := false -#9 := 1::real -#8 := 0::real -#10 := (<= 0::real 1::real) -#11 := (not #10) -#38 := (iff #11 false) -#1 := true -#33 := (not true) -#36 := (iff #33 false) -#37 := [rewrite]: #36 -#34 := (iff #11 #33) -#31 := (iff #10 true) -#32 := [rewrite]: #31 -#35 := [monotonicity #32]: #34 -#39 := [trans #35 #37]: #38 -#28 := [asserted]: #11 -[mp #28 #39]: false -unsat -6dfe89c45e68ba796109229b1c54d23603c64ded 85 0 +70f0bd2ca61ea7f7f79a865b60edecada1e579bc 85 0 #2 := false #52 := 0::int decl f4 :: int @@ -46086,48 +45951,7 @@ #101 := [not-or-elim #99]: #66 [th-lemma #101 #100 #102]: false unsat -a64bea89744a3af0ed560a5c871536de3fcb2ecf 40 0 -#2 := false -#12 := 567::real -#10 := 345::real -#8 := 123::real -#9 := (- 123::real) -#11 := (+ #9 345::real) -#13 := (< #11 567::real) -#14 := (not #13) -#58 := (iff #14 false) -#38 := 222::real -#43 := (< 222::real 567::real) -#46 := (not #43) -#56 := (iff #46 false) -#1 := true -#51 := (not true) -#54 := (iff #51 false) -#55 := [rewrite]: #54 -#52 := (iff #46 #51) -#49 := (iff #43 true) -#50 := [rewrite]: #49 -#53 := [monotonicity #50]: #52 -#57 := [trans #53 #55]: #56 -#47 := (iff #14 #46) -#44 := (iff #13 #43) -#41 := (= #11 222::real) -#32 := -123::real -#35 := (+ -123::real 345::real) -#39 := (= #35 222::real) -#40 := [rewrite]: #39 -#36 := (= #11 #35) -#33 := (= #9 -123::real) -#34 := [rewrite]: #33 -#37 := [monotonicity #34]: #36 -#42 := [trans #37 #40]: #41 -#45 := [monotonicity #42]: #44 -#48 := [monotonicity #45]: #47 -#59 := [trans #48 #57]: #58 -#31 := [asserted]: #14 -[mp #31 #59]: false -unsat -650b9ceb8c2cf801e6ceee5375af886f013abe2c 69 0 +d4b9d7236f58deec9d8b880ed595e162ac78698f 69 0 #2 := false #44 := 0::int decl f5 :: int @@ -46197,7 +46021,237 @@ #85 := [and-elim #83]: #53 [th-lemma #85 #84 #86]: false unsat -a79ee55daec933b360adb88ed0db37156e2f7821 18 0 +93f88e9d9942aeac0995634bc80288f6b3124d6e 17 0 +#2 := false +#8 := 0::real +#9 := (= 0::real 0::real) +#10 := (not #9) +#35 := (iff #10 false) +#1 := true +#30 := (not true) +#33 := (iff #30 false) +#34 := [rewrite]: #33 +#31 := (iff #10 #30) +#28 := (iff #9 true) +#29 := [rewrite]: #28 +#32 := [monotonicity #29]: #31 +#36 := [trans #32 #34]: #35 +#27 := [asserted]: #10 +[mp #27 #36]: false +unsat +c76a2eba918417f6f2e01b2b723c524c06e861cf 25 0 +#2 := false +#8 := 0::real +#9 := (- 0::real) +#10 := (= 0::real #9) +#11 := (not #10) +#43 := (iff #11 false) +#1 := true +#38 := (not true) +#41 := (iff #38 false) +#42 := [rewrite]: #41 +#39 := (iff #11 #38) +#36 := (iff #10 true) +#31 := (= 0::real 0::real) +#34 := (iff #31 true) +#35 := [rewrite]: #34 +#32 := (iff #10 #31) +#29 := (= #9 0::real) +#30 := [rewrite]: #29 +#33 := [monotonicity #30]: #32 +#37 := [trans #33 #35]: #36 +#40 := [monotonicity #37]: #39 +#44 := [trans #40 #42]: #43 +#28 := [asserted]: #11 +[mp #28 #44]: false +unsat +124d21d085906b9b1a287c6fb023579c3d29d71e 17 0 +#2 := false +#8 := 1::real +#9 := (= 1::real 1::real) +#10 := (not #9) +#35 := (iff #10 false) +#1 := true +#30 := (not true) +#33 := (iff #30 false) +#34 := [rewrite]: #33 +#31 := (iff #10 #30) +#28 := (iff #9 true) +#29 := [rewrite]: #28 +#32 := [monotonicity #29]: #31 +#36 := [trans #32 #34]: #35 +#27 := [asserted]: #10 +[mp #27 #36]: false +unsat +5560886df3c18f9a0c150a7d43e759132adbc67a 34 0 +#2 := false +#8 := 1::real +#9 := (- 1::real) +#10 := (= #9 1::real) +#11 := (not #10) +#12 := (not #11) +#52 := (iff #12 false) +#1 := true +#47 := (not true) +#50 := (iff #47 false) +#51 := [rewrite]: #50 +#48 := (iff #12 #47) +#45 := (iff #11 true) +#40 := (not false) +#43 := (iff #40 true) +#44 := [rewrite]: #43 +#41 := (iff #11 #40) +#38 := (iff #10 false) +#30 := -1::real +#33 := (= -1::real 1::real) +#36 := (iff #33 false) +#37 := [rewrite]: #36 +#34 := (iff #10 #33) +#31 := (= #9 -1::real) +#32 := [rewrite]: #31 +#35 := [monotonicity #32]: #34 +#39 := [trans #35 #37]: #38 +#42 := [monotonicity #39]: #41 +#46 := [trans #42 #44]: #45 +#49 := [monotonicity #46]: #48 +#53 := [trans #49 #51]: #52 +#29 := [asserted]: #12 +[mp #29 #53]: false +unsat +ea1032005c0c668000f0638ca6458e10715452d1 18 0 +#2 := false +#9 := 1::real +#8 := 0::real +#10 := (< 0::real 1::real) +#11 := (not #10) +#38 := (iff #11 false) +#1 := true +#33 := (not true) +#36 := (iff #33 false) +#37 := [rewrite]: #36 +#34 := (iff #11 #33) +#31 := (iff #10 true) +#32 := [rewrite]: #31 +#35 := [monotonicity #32]: #34 +#39 := [trans #35 #37]: #38 +#28 := [asserted]: #11 +[mp #28 #39]: false +unsat +9bf86956cfc4183079f2d625e7fb67e79d8e3a6f 18 0 +#2 := false +#9 := 1::real +#8 := 0::real +#10 := (<= 0::real 1::real) +#11 := (not #10) +#38 := (iff #11 false) +#1 := true +#33 := (not true) +#36 := (iff #33 false) +#37 := [rewrite]: #36 +#34 := (iff #11 #33) +#31 := (iff #10 true) +#32 := [rewrite]: #31 +#35 := [monotonicity #32]: #34 +#39 := [trans #35 #37]: #38 +#28 := [asserted]: #11 +[mp #28 #39]: false +unsat +462b078573a7260cabbe050e6e8a010e81307468 26 0 +#2 := false +decl f3 :: real +#8 := f3 +#9 := 0::real +#10 := (+ f3 0::real) +#11 := (= #10 f3) +#12 := (not #11) +#43 := (iff #12 false) +#1 := true +#38 := (not true) +#41 := (iff #38 false) +#42 := [rewrite]: #41 +#39 := (iff #12 #38) +#36 := (iff #11 true) +#31 := (= f3 f3) +#34 := (iff #31 true) +#35 := [rewrite]: #34 +#32 := (iff #11 #31) +#30 := [rewrite]: #11 +#33 := [monotonicity #30]: #32 +#37 := [trans #33 #35]: #36 +#40 := [monotonicity #37]: #39 +#44 := [trans #40 #42]: #43 +#29 := [asserted]: #12 +[mp #29 #44]: false +unsat +fbe5b7285614f32e77c7dc8b02bdfaab1ce33767 40 0 +#2 := false +#12 := 567::real +#10 := 345::real +#8 := 123::real +#9 := (- 123::real) +#11 := (+ #9 345::real) +#13 := (< #11 567::real) +#14 := (not #13) +#58 := (iff #14 false) +#38 := 222::real +#43 := (< 222::real 567::real) +#46 := (not #43) +#56 := (iff #46 false) +#1 := true +#51 := (not true) +#54 := (iff #51 false) +#55 := [rewrite]: #54 +#52 := (iff #46 #51) +#49 := (iff #43 true) +#50 := [rewrite]: #49 +#53 := [monotonicity #50]: #52 +#57 := [trans #53 #55]: #56 +#47 := (iff #14 #46) +#44 := (iff #13 #43) +#41 := (= #11 222::real) +#32 := -123::real +#35 := (+ -123::real 345::real) +#39 := (= #35 222::real) +#40 := [rewrite]: #39 +#36 := (= #11 #35) +#33 := (= #9 -123::real) +#34 := [rewrite]: #33 +#37 := [monotonicity #34]: #36 +#42 := [trans #37 #40]: #41 +#45 := [monotonicity #42]: #44 +#48 := [monotonicity #45]: #47 +#59 := [trans #48 #57]: #58 +#31 := [asserted]: #14 +[mp #31 #59]: false +unsat +440f4e3d826b24104b71d716ed035b8fcf2e496d 26 0 +#2 := false +decl f3 :: real +#9 := f3 +#8 := 0::real +#10 := (+ 0::real f3) +#11 := (= #10 f3) +#12 := (not #11) +#43 := (iff #12 false) +#1 := true +#38 := (not true) +#41 := (iff #38 false) +#42 := [rewrite]: #41 +#39 := (iff #12 #38) +#36 := (iff #11 true) +#31 := (= f3 f3) +#34 := (iff #31 true) +#35 := [rewrite]: #34 +#32 := (iff #11 #31) +#30 := [rewrite]: #11 +#33 := [monotonicity #30]: #32 +#37 := [trans #33 #35]: #36 +#40 := [monotonicity #37]: #39 +#44 := [trans #40 #42]: #43 +#29 := [asserted]: #12 +[mp #29 #44]: false +unsat +0f930aea7df79d93cedef0ce68be2ff1d1da57e3 18 0 #2 := false #9 := 2345678901::real #8 := 123456789::real @@ -46216,7 +46270,37 @@ #28 := [asserted]: #11 [mp #28 #39]: false unsat -4b51b4eed1dc4e4e6099fbf906b70822230d5e3f 30 0 +20e0c3ffbf68f93c4311b4bf54c2ea3efe010e7a 29 0 +#2 := false +decl f3 :: real +#8 := f3 +decl f4 :: real +#9 := f4 +#11 := (+ f4 f3) +#10 := (+ f3 f4) +#12 := (= #10 #11) +#13 := (not #12) +#45 := (iff #13 false) +#1 := true +#40 := (not true) +#43 := (iff #40 false) +#44 := [rewrite]: #43 +#41 := (iff #13 #40) +#38 := (iff #12 true) +#33 := (= #10 #10) +#36 := (iff #33 true) +#37 := [rewrite]: #36 +#34 := (iff #12 #33) +#31 := (= #11 #10) +#32 := [rewrite]: #31 +#35 := [monotonicity #32]: #34 +#39 := [trans #35 #37]: #38 +#42 := [monotonicity #39]: #41 +#46 := [trans #42 #44]: #45 +#30 := [asserted]: #13 +[mp #30 #46]: false +unsat +39b152c2721f346c536c8037f243dbf8a4709b1b 30 0 #2 := false #10 := 2345678901::real #8 := 123456789::real @@ -46247,12 +46331,92 @@ #29 := [asserted]: #12 [mp #29 #49]: false unsat -209cf5d4457acae6abf17187fd6e89c259187362 26 0 +2fbcb3e0a00b30b4d1cfcecd9304791b2a48d7f4 33 0 +#2 := false +decl f5 :: real +#10 := f5 +decl f4 :: real +#9 := f4 +decl f3 :: real +#8 := f3 +#13 := (+ f3 f4) +#14 := (+ #13 f5) +#11 := (+ f4 f5) +#12 := (+ f3 #11) +#15 := (= #12 #14) +#16 := (not #15) +#48 := (iff #16 false) +#1 := true +#43 := (not true) +#46 := (iff #43 false) +#47 := [rewrite]: #46 +#44 := (iff #16 #43) +#41 := (iff #15 true) +#36 := (= #12 #12) +#39 := (iff #36 true) +#40 := [rewrite]: #39 +#37 := (iff #15 #36) +#34 := (= #14 #12) +#35 := [rewrite]: #34 +#38 := [monotonicity #35]: #37 +#42 := [trans #38 #40]: #41 +#45 := [monotonicity #42]: #44 +#49 := [trans #45 #47]: #48 +#33 := [asserted]: #16 +[mp #33 #49]: false +unsat +2ec6b499b5be496e928bd834c349a1c431eea001 45 0 +#2 := false +decl f4 :: real +#9 := f4 +#13 := (- f4) +decl f3 :: real +#8 := f3 +#14 := (= f3 #13) +#11 := 0::real +#10 := (+ f3 f4) +#12 := (= #10 0::real) +#15 := (iff #12 #14) +#16 := (not #15) +#62 := (iff #16 false) +#47 := (not #12) +#34 := -1::real +#35 := (* -1::real f4) +#38 := (= f3 #35) +#48 := (iff #38 #47) +#60 := (iff #48 false) +#55 := (iff #12 #47) +#58 := (iff #55 false) +#59 := [rewrite]: #58 +#56 := (iff #48 #55) +#53 := (iff #38 #12) +#54 := [rewrite]: #53 +#57 := [monotonicity #54]: #56 +#61 := [trans #57 #59]: #60 +#51 := (iff #16 #48) +#41 := (iff #12 #38) +#44 := (not #41) +#49 := (iff #44 #48) +#50 := [rewrite]: #49 +#45 := (iff #16 #44) +#42 := (iff #15 #41) +#39 := (iff #14 #38) +#36 := (= #13 #35) +#37 := [rewrite]: #36 +#40 := [monotonicity #37]: #39 +#43 := [monotonicity #40]: #42 +#46 := [monotonicity #43]: #45 +#52 := [trans #46 #50]: #51 +#63 := [trans #52 #61]: #62 +#33 := [asserted]: #16 +[mp #33 #63]: false +unsat +fc436284003e8c697b8dbb37e8945314d2bc0428 26 0 #2 := false decl f3 :: real #8 := f3 #9 := 0::real -#10 := (+ f3 0::real) +#10 := (- f3 0::real) #11 := (= #10 f3) #12 := (not #11) #43 := (iff #12 false) @@ -46274,34 +46438,7 @@ #29 := [asserted]: #12 [mp #29 #44]: false unsat -97dafa0bba507529233c05cc33dd1519b4e28e4b 26 0 -#2 := false -decl f3 :: real -#9 := f3 -#8 := 0::real -#10 := (+ 0::real f3) -#11 := (= #10 f3) -#12 := (not #11) -#43 := (iff #12 false) -#1 := true -#38 := (not true) -#41 := (iff #38 false) -#42 := [rewrite]: #41 -#39 := (iff #12 #38) -#36 := (iff #11 true) -#31 := (= f3 f3) -#34 := (iff #31 true) -#35 := [rewrite]: #34 -#32 := (iff #11 #31) -#30 := [rewrite]: #11 -#33 := [monotonicity #30]: #32 -#37 := [trans #33 #35]: #36 -#40 := [monotonicity #37]: #39 -#44 := [trans #40 #42]: #43 -#29 := [asserted]: #12 -[mp #29 #44]: false -unsat -4a497c9573e0d4cf02c29e65ea385ac694a5d2a9 58 0 +d3d5a890beab517bd089563bbca4f1f153a58428 58 0 #2 := false decl f3 :: real #8 := f3 @@ -46360,37 +46497,40 @@ #31 := [asserted]: #14 [mp #31 #77]: false unsat -393f5dbb0db04527f22218d40363df111099baf5 29 0 +e32be0c9d1b02319d3e7244ea2d0e549b6430915 32 0 #2 := false decl f3 :: real -#8 := f3 -decl f4 :: real -#9 := f4 -#11 := (+ f4 f3) -#10 := (+ f3 f4) +#9 := f3 +#11 := (- f3) +#8 := 0::real +#10 := (- 0::real f3) #12 := (= #10 #11) #13 := (not #12) -#45 := (iff #13 false) -#1 := true -#40 := (not true) -#43 := (iff #40 false) -#44 := [rewrite]: #43 -#41 := (iff #13 #40) -#38 := (iff #12 true) -#33 := (= #10 #10) -#36 := (iff #33 true) -#37 := [rewrite]: #36 -#34 := (iff #12 #33) -#31 := (= #11 #10) -#32 := [rewrite]: #31 -#35 := [monotonicity #32]: #34 -#39 := [trans #35 #37]: #38 -#42 := [monotonicity #39]: #41 -#46 := [trans #42 #44]: #45 +#49 := (iff #13 false) +#1 := true +#44 := (not true) +#47 := (iff #44 false) +#48 := [rewrite]: #47 +#45 := (iff #13 #44) +#42 := (iff #12 true) +#31 := -1::real +#32 := (* -1::real f3) +#37 := (= #32 #32) +#40 := (iff #37 true) +#41 := [rewrite]: #40 +#38 := (iff #12 #37) +#35 := (= #11 #32) +#36 := [rewrite]: #35 +#33 := (= #10 #32) +#34 := [rewrite]: #33 +#39 := [monotonicity #34 #36]: #38 +#43 := [trans #39 #41]: #42 +#46 := [monotonicity #43]: #45 +#50 := [trans #46 #48]: #49 #30 := [asserted]: #13 -[mp #30 #46]: false -unsat -5310d952762e8bd0d9db1c0127d9100532f42cf4 61 0 +[mp #30 #50]: false +unsat +eb2eb6c8c377b3314725038ad15c0d85d1554cd5 61 0 #2 := false #8 := 0::real decl f3 :: real @@ -46452,209 +46592,7 @@ #31 := [asserted]: #14 [mp #31 #79]: false unsat -08018537eda07e4214b99470b7aa75706e7cd28c 33 0 -#2 := false -decl f5 :: real -#10 := f5 -decl f4 :: real -#9 := f4 -decl f3 :: real -#8 := f3 -#13 := (+ f3 f4) -#14 := (+ #13 f5) -#11 := (+ f4 f5) -#12 := (+ f3 #11) -#15 := (= #12 #14) -#16 := (not #15) -#48 := (iff #16 false) -#1 := true -#43 := (not true) -#46 := (iff #43 false) -#47 := [rewrite]: #46 -#44 := (iff #16 #43) -#41 := (iff #15 true) -#36 := (= #12 #12) -#39 := (iff #36 true) -#40 := [rewrite]: #39 -#37 := (iff #15 #36) -#34 := (= #14 #12) -#35 := [rewrite]: #34 -#38 := [monotonicity #35]: #37 -#42 := [trans #38 #40]: #41 -#45 := [monotonicity #42]: #44 -#49 := [trans #45 #47]: #48 -#33 := [asserted]: #16 -[mp #33 #49]: false -unsat -aed50da01a066fa4f6c8e7af4a461d101bc09de0 61 0 -#2 := false -decl f3 :: real -#8 := f3 -#11 := (- f3) -#9 := 0::real -#12 := (< 0::real #11) -#10 := (< f3 0::real) -#13 := (implies #10 #12) -#14 := (not #13) -#78 := (iff #14 false) -#32 := -1::real -#33 := (* -1::real f3) -#36 := (< 0::real #33) -#42 := (not #10) -#43 := (or #42 #36) -#48 := (not #43) -#76 := (iff #48 false) -#1 := true -#71 := (not true) -#74 := (iff #71 false) -#75 := [rewrite]: #74 -#72 := (iff #48 #71) -#69 := (iff #43 true) -#51 := (>= f3 0::real) -#52 := (not #51) -#64 := (or #51 #52) -#67 := (iff #64 true) -#68 := [rewrite]: #67 -#65 := (iff #43 #64) -#62 := (iff #36 #52) -#63 := [rewrite]: #62 -#60 := (iff #42 #51) -#55 := (not #52) -#58 := (iff #55 #51) -#59 := [rewrite]: #58 -#56 := (iff #42 #55) -#53 := (iff #10 #52) -#54 := [rewrite]: #53 -#57 := [monotonicity #54]: #56 -#61 := [trans #57 #59]: #60 -#66 := [monotonicity #61 #63]: #65 -#70 := [trans #66 #68]: #69 -#73 := [monotonicity #70]: #72 -#77 := [trans #73 #75]: #76 -#49 := (iff #14 #48) -#46 := (iff #13 #43) -#39 := (implies #10 #36) -#44 := (iff #39 #43) -#45 := [rewrite]: #44 -#40 := (iff #13 #39) -#37 := (iff #12 #36) -#34 := (= #11 #33) -#35 := [rewrite]: #34 -#38 := [monotonicity #35]: #37 -#41 := [monotonicity #38]: #40 -#47 := [trans #41 #45]: #46 -#50 := [monotonicity #47]: #49 -#79 := [trans #50 #77]: #78 -#31 := [asserted]: #14 -[mp #31 #79]: false -unsat -afbfb539cd215cee99e6f9076de9621f41db722f 45 0 -#2 := false -decl f4 :: real -#9 := f4 -#13 := (- f4) -decl f3 :: real -#8 := f3 -#14 := (= f3 #13) -#11 := 0::real -#10 := (+ f3 f4) -#12 := (= #10 0::real) -#15 := (iff #12 #14) -#16 := (not #15) -#62 := (iff #16 false) -#47 := (not #12) -#34 := -1::real -#35 := (* -1::real f4) -#38 := (= f3 #35) -#48 := (iff #38 #47) -#60 := (iff #48 false) -#55 := (iff #12 #47) -#58 := (iff #55 false) -#59 := [rewrite]: #58 -#56 := (iff #48 #55) -#53 := (iff #38 #12) -#54 := [rewrite]: #53 -#57 := [monotonicity #54]: #56 -#61 := [trans #57 #59]: #60 -#51 := (iff #16 #48) -#41 := (iff #12 #38) -#44 := (not #41) -#49 := (iff #44 #48) -#50 := [rewrite]: #49 -#45 := (iff #16 #44) -#42 := (iff #15 #41) -#39 := (iff #14 #38) -#36 := (= #13 #35) -#37 := [rewrite]: #36 -#40 := [monotonicity #37]: #39 -#43 := [monotonicity #40]: #42 -#46 := [monotonicity #43]: #45 -#52 := [trans #46 #50]: #51 -#63 := [trans #52 #61]: #62 -#33 := [asserted]: #16 -[mp #33 #63]: false -unsat -4c33a6158d9a09229cc4bfd8f383004f3cebc48a 26 0 -#2 := false -decl f3 :: real -#8 := f3 -#9 := 0::real -#10 := (- f3 0::real) -#11 := (= #10 f3) -#12 := (not #11) -#43 := (iff #12 false) -#1 := true -#38 := (not true) -#41 := (iff #38 false) -#42 := [rewrite]: #41 -#39 := (iff #12 #38) -#36 := (iff #11 true) -#31 := (= f3 f3) -#34 := (iff #31 true) -#35 := [rewrite]: #34 -#32 := (iff #11 #31) -#30 := [rewrite]: #11 -#33 := [monotonicity #30]: #32 -#37 := [trans #33 #35]: #36 -#40 := [monotonicity #37]: #39 -#44 := [trans #40 #42]: #43 -#29 := [asserted]: #12 -[mp #29 #44]: false -unsat -5fa448e93a50f684d9003c71f7eb6c60b8908f77 32 0 -#2 := false -decl f3 :: real -#9 := f3 -#11 := (- f3) -#8 := 0::real -#10 := (- 0::real f3) -#12 := (= #10 #11) -#13 := (not #12) -#49 := (iff #13 false) -#1 := true -#44 := (not true) -#47 := (iff #44 false) -#48 := [rewrite]: #47 -#45 := (iff #13 #44) -#42 := (iff #12 true) -#31 := -1::real -#32 := (* -1::real f3) -#37 := (= #32 #32) -#40 := (iff #37 true) -#41 := [rewrite]: #40 -#38 := (iff #12 #37) -#35 := (= #11 #32) -#36 := [rewrite]: #35 -#33 := (= #10 #32) -#34 := [rewrite]: #33 -#39 := [monotonicity #34 #36]: #38 -#43 := [trans #39 #41]: #42 -#46 := [monotonicity #43]: #45 -#50 := [trans #46 #48]: #49 -#30 := [asserted]: #13 -[mp #30 #50]: false -unsat -abc85cf86b0b1c8a34cd74d5da49e570c77ddea0 64 0 +83589b9e6143db146b7355cf95d479fdd7008de6 64 0 #2 := false #12 := 0::real decl f4 :: real @@ -46719,7 +46657,69 @@ #32 := [asserted]: #15 [mp #32 #81]: false unsat -8084abd03f885814b6c145eb3fdc41f5a2cc85f8 44 0 +20175dd1cbc4733e0e0a6808b337d3ef714bc8ea 61 0 +#2 := false +decl f3 :: real +#8 := f3 +#11 := (- f3) +#9 := 0::real +#12 := (< 0::real #11) +#10 := (< f3 0::real) +#13 := (implies #10 #12) +#14 := (not #13) +#78 := (iff #14 false) +#32 := -1::real +#33 := (* -1::real f3) +#36 := (< 0::real #33) +#42 := (not #10) +#43 := (or #42 #36) +#48 := (not #43) +#76 := (iff #48 false) +#1 := true +#71 := (not true) +#74 := (iff #71 false) +#75 := [rewrite]: #74 +#72 := (iff #48 #71) +#69 := (iff #43 true) +#51 := (>= f3 0::real) +#52 := (not #51) +#64 := (or #51 #52) +#67 := (iff #64 true) +#68 := [rewrite]: #67 +#65 := (iff #43 #64) +#62 := (iff #36 #52) +#63 := [rewrite]: #62 +#60 := (iff #42 #51) +#55 := (not #52) +#58 := (iff #55 #51) +#59 := [rewrite]: #58 +#56 := (iff #42 #55) +#53 := (iff #10 #52) +#54 := [rewrite]: #53 +#57 := [monotonicity #54]: #56 +#61 := [trans #57 #59]: #60 +#66 := [monotonicity #61 #63]: #65 +#70 := [trans #66 #68]: #69 +#73 := [monotonicity #70]: #72 +#77 := [trans #73 #75]: #76 +#49 := (iff #14 #48) +#46 := (iff #13 #43) +#39 := (implies #10 #36) +#44 := (iff #39 #43) +#45 := [rewrite]: #44 +#40 := (iff #13 #39) +#37 := (iff #12 #36) +#34 := (= #11 #33) +#35 := [rewrite]: #34 +#38 := [monotonicity #35]: #37 +#41 := [monotonicity #38]: #40 +#47 := [trans #41 #45]: #46 +#50 := [monotonicity #47]: #49 +#79 := [trans #50 #77]: #78 +#31 := [asserted]: #14 +[mp #31 #79]: false +unsat +0edbb7a2c42cbb0fdbf200f800919445d8fe0fcd 44 0 #2 := false decl f3 :: real #8 := f3 @@ -46764,7 +46764,7 @@ #31 := [asserted]: #14 [mp #31 #61]: false unsat -9afe5717b3e2c9027579ba3e8d9d66db44c6cbda 42 0 +07f4f6c399af663ebc560d31da386f4b6f8eceaa 42 0 #2 := false decl f3 :: real #8 := f3 @@ -46807,7 +46807,7 @@ #31 := [asserted]: #14 [mp #31 #59]: false unsat -a1710b56b11072c592931adbf944a5bd3bc6efc2 48 0 +11d02f55135438b9126f773087ae5fbc1bfb4b1f 48 0 #2 := false decl f5 :: real #11 := f5 @@ -46856,7 +46856,7 @@ #33 := [asserted]: #16 [mp #33 #64]: false unsat -4611c2bccf9693379d8f36635022f4216eaaa919 30 0 +43b7b87cca59f261804e2de323813ff74305eab9 30 0 #2 := false #8 := 1::real #9 := 2::real @@ -46887,7 +46887,7 @@ #29 := [asserted]: #12 [mp #29 #49]: false unsat -300cf7e266e08d39c05d69e60b19d0ac09a08a2e 27 0 +53cfe5e87c16fffbe2f16f255256cca3098e68ab 27 0 #2 := false #9 := 3::real #8 := 1::real @@ -46915,7 +46915,44 @@ #29 := [asserted]: #12 [mp #29 #46]: false unsat -b59d35169428d1cd490a83e17435ecfc93225870 48 0 +a0dc8948916e6295727989d5921bca6fbb1b7702 36 0 +#2 := false +decl f3 :: real +#9 := f3 +#8 := 3::real +#10 := (/ f3 3::real) +#11 := (* 3::real #10) +#12 := (= #11 f3) +#13 := (not #12) +#53 := (iff #13 false) +#1 := true +#48 := (not true) +#51 := (iff #48 false) +#52 := [rewrite]: #51 +#49 := (iff #13 #48) +#46 := (iff #12 true) +#41 := (= f3 f3) +#44 := (iff #41 true) +#45 := [rewrite]: #44 +#42 := (iff #12 #41) +#31 := 1/3::real +#32 := (* 1/3::real f3) +#35 := (* 3::real #32) +#38 := (= #35 f3) +#39 := [rewrite]: #38 +#36 := (= #11 #35) +#33 := (= #10 #32) +#34 := [rewrite]: #33 +#37 := [monotonicity #34]: #36 +#40 := [trans #37 #39]: #12 +#43 := [monotonicity #40]: #42 +#47 := [trans #43 #45]: #46 +#50 := [monotonicity #47]: #49 +#54 := [trans #50 #52]: #53 +#30 := [asserted]: #13 +[mp #30 #54]: false +unsat +26808346607eaf4342e6db7ed90e590a0bd9c647 48 0 #2 := false #9 := 3::real #8 := 1::real @@ -46964,7 +47001,43 @@ #32 := [asserted]: #15 [mp #32 #67]: false unsat -1c222157f628411945e7e47ef57130c5ba4ad155 36 0 +09202bff4da2c74e9a8dbe43ef21689e4bdfaae9 35 0 +#2 := false +decl f3 :: real +#8 := f3 +#9 := 3::real +#10 := (* f3 3::real) +#11 := (/ #10 3::real) +#12 := (= #11 f3) +#13 := (not #12) +#52 := (iff #13 false) +#1 := true +#47 := (not true) +#50 := (iff #47 false) +#51 := [rewrite]: #50 +#48 := (iff #13 #47) +#45 := (iff #12 true) +#40 := (= f3 f3) +#43 := (iff #40 true) +#44 := [rewrite]: #43 +#41 := (iff #12 #40) +#31 := (* 3::real f3) +#34 := (/ #31 3::real) +#37 := (= #34 f3) +#38 := [rewrite]: #37 +#35 := (= #11 #34) +#32 := (= #10 #31) +#33 := [rewrite]: #32 +#36 := [monotonicity #33]: #35 +#39 := [trans #36 #38]: #12 +#42 := [monotonicity #39]: #41 +#46 := [trans #42 #44]: #45 +#49 := [monotonicity #46]: #48 +#53 := [trans #49 #51]: #52 +#30 := [asserted]: #13 +[mp #30 #53]: false +unsat +b76505782dfbae0f8341048039ea3f79ecdab350 36 0 #2 := false #10 := 3::real #8 := 1::real @@ -47001,7 +47074,70 @@ #30 := [asserted]: #13 [mp #30 #55]: false unsat -e4a7188c884c4cc69972b6b4c9f7bcbb1cd3ef93 43 0 +0c13c4469b276c16009a975c07b71cc3daa7abc5 62 0 +#2 := false +#8 := 0::real +decl f3 :: real +#9 := f3 +#67 := 1/3::real +#68 := (* 1/3::real f3) +#69 := (<= #68 0::real) +#65 := (not #69) +#54 := (<= f3 0::real) +#71 := (or #54 #65) +#74 := (not #71) +#13 := 3::real +#11 := 2::real +#12 := (* 2::real f3) +#14 := (/ #12 3::real) +#15 := (< #14 f3) +#10 := (< 0::real f3) +#16 := (implies #10 #15) +#17 := (not #16) +#77 := (iff #17 #74) +#36 := 2/3::real +#37 := (* 2/3::real f3) +#39 := (< #37 f3) +#45 := (not #10) +#46 := (or #45 #39) +#51 := (not #46) +#75 := (iff #51 #74) +#72 := (iff #46 #71) +#66 := (iff #39 #65) +#70 := [rewrite]: #66 +#63 := (iff #45 #54) +#55 := (not #54) +#58 := (not #55) +#61 := (iff #58 #54) +#62 := [rewrite]: #61 +#59 := (iff #45 #58) +#56 := (iff #10 #55) +#57 := [rewrite]: #56 +#60 := [monotonicity #57]: #59 +#64 := [trans #60 #62]: #63 +#73 := [monotonicity #64 #70]: #72 +#76 := [monotonicity #73]: #75 +#52 := (iff #17 #51) +#49 := (iff #16 #46) +#42 := (implies #10 #39) +#47 := (iff #42 #46) +#48 := [rewrite]: #47 +#43 := (iff #16 #42) +#40 := (iff #15 #39) +#35 := (= #14 #37) +#38 := [rewrite]: #35 +#41 := [monotonicity #38]: #40 +#44 := [monotonicity #41]: #43 +#50 := [trans #44 #48]: #49 +#53 := [monotonicity #50]: #52 +#78 := [trans #53 #76]: #77 +#34 := [asserted]: #17 +#79 := [mp #34 #78]: #74 +#81 := [not-or-elim #79]: #69 +#80 := [not-or-elim #79]: #55 +[th-lemma #80 #81]: false +unsat +bc88a01de6db0490fffd7e188b191be86acfd954 43 0 #2 := false #10 := 3::real #8 := 1::real @@ -47045,7 +47181,70 @@ #32 := [asserted]: #15 [mp #32 #62]: false unsat -b7bd87b08d1cd38b7e0db00083a20eb0fa944982 26 0 +27ba361ee1bcc866b25f3de9b0470e4e247364ed 62 0 +#2 := false +#9 := 0::real +decl f3 :: real +#8 := f3 +#69 := 1/3::real +#70 := (* 1/3::real f3) +#67 := (>= #70 0::real) +#65 := (not #67) +#56 := (>= f3 0::real) +#71 := (or #56 #65) +#74 := (not #71) +#13 := 3::real +#11 := 2::real +#12 := (* 2::real f3) +#14 := (/ #12 3::real) +#15 := (< f3 #14) +#10 := (< f3 0::real) +#16 := (implies #10 #15) +#17 := (not #16) +#77 := (iff #17 #74) +#36 := 2/3::real +#37 := (* 2/3::real f3) +#39 := (< f3 #37) +#45 := (not #10) +#46 := (or #45 #39) +#51 := (not #46) +#75 := (iff #51 #74) +#72 := (iff #46 #71) +#66 := (iff #39 #65) +#68 := [rewrite]: #66 +#63 := (iff #45 #56) +#54 := (not #56) +#58 := (not #54) +#61 := (iff #58 #56) +#62 := [rewrite]: #61 +#59 := (iff #45 #58) +#55 := (iff #10 #54) +#57 := [rewrite]: #55 +#60 := [monotonicity #57]: #59 +#64 := [trans #60 #62]: #63 +#73 := [monotonicity #64 #68]: #72 +#76 := [monotonicity #73]: #75 +#52 := (iff #17 #51) +#49 := (iff #16 #46) +#42 := (implies #10 #39) +#47 := (iff #42 #46) +#48 := [rewrite]: #47 +#43 := (iff #16 #42) +#40 := (iff #15 #39) +#35 := (= #14 #37) +#38 := [rewrite]: #35 +#41 := [monotonicity #38]: #40 +#44 := [monotonicity #41]: #43 +#50 := [trans #44 #48]: #49 +#53 := [monotonicity #50]: #52 +#78 := [trans #53 #76]: #77 +#34 := [asserted]: #17 +#79 := [mp #34 #78]: #74 +#81 := [not-or-elim #79]: #67 +#80 := [not-or-elim #79]: #54 +[th-lemma #80 #81]: false +unsat +e1161936dfae097cefecc5afb0c61d7cd7a9394d 26 0 #2 := false decl f3 :: real #8 := f3 @@ -47072,7 +47271,7 @@ #29 := [asserted]: #12 [mp #29 #44]: false unsat -c3e8ed15657d66fdc6a77370b7e3994d0741653a 60 0 +501254910821a4c83220ee640918ae11739106cb 60 0 #2 := false #8 := 0::real decl f3 :: real @@ -47133,141 +47332,7 @@ #78 := [not-or-elim #77]: #53 [th-lemma #78 #79]: false unsat -05dd4ddb8672ca6d3f31acc3ffa7f7986078b232 60 0 -#2 := false -#9 := 0::real -decl f3 :: real -#8 := f3 -#67 := 2/3::real -#68 := (* 2/3::real f3) -#65 := (>= #68 0::real) -#63 := (not #65) -#54 := (>= f3 0::real) -#69 := (or #54 #63) -#72 := (not #69) -#11 := 3::real -#12 := (/ f3 3::real) -#13 := (< f3 #12) -#10 := (< f3 0::real) -#14 := (implies #10 #13) -#15 := (not #14) -#75 := (iff #15 #72) -#33 := 1/3::real -#34 := (* 1/3::real f3) -#37 := (< f3 #34) -#43 := (not #10) -#44 := (or #43 #37) -#49 := (not #44) -#73 := (iff #49 #72) -#70 := (iff #44 #69) -#64 := (iff #37 #63) -#66 := [rewrite]: #64 -#61 := (iff #43 #54) -#52 := (not #54) -#56 := (not #52) -#59 := (iff #56 #54) -#60 := [rewrite]: #59 -#57 := (iff #43 #56) -#53 := (iff #10 #52) -#55 := [rewrite]: #53 -#58 := [monotonicity #55]: #57 -#62 := [trans #58 #60]: #61 -#71 := [monotonicity #62 #66]: #70 -#74 := [monotonicity #71]: #73 -#50 := (iff #15 #49) -#47 := (iff #14 #44) -#40 := (implies #10 #37) -#45 := (iff #40 #44) -#46 := [rewrite]: #45 -#41 := (iff #14 #40) -#38 := (iff #13 #37) -#35 := (= #12 #34) -#36 := [rewrite]: #35 -#39 := [monotonicity #36]: #38 -#42 := [monotonicity #39]: #41 -#48 := [trans #42 #46]: #47 -#51 := [monotonicity #48]: #50 -#76 := [trans #51 #74]: #75 -#32 := [asserted]: #15 -#77 := [mp #32 #76]: #72 -#79 := [not-or-elim #77]: #65 -#78 := [not-or-elim #77]: #52 -[th-lemma #78 #79]: false -unsat -b7a066feb9f43bcc3b0373cd9c9287361b54eff6 36 0 -#2 := false -decl f3 :: real -#9 := f3 -#8 := 3::real -#10 := (/ f3 3::real) -#11 := (* 3::real #10) -#12 := (= #11 f3) -#13 := (not #12) -#53 := (iff #13 false) -#1 := true -#48 := (not true) -#51 := (iff #48 false) -#52 := [rewrite]: #51 -#49 := (iff #13 #48) -#46 := (iff #12 true) -#41 := (= f3 f3) -#44 := (iff #41 true) -#45 := [rewrite]: #44 -#42 := (iff #12 #41) -#31 := 1/3::real -#32 := (* 1/3::real f3) -#35 := (* 3::real #32) -#38 := (= #35 f3) -#39 := [rewrite]: #38 -#36 := (= #11 #35) -#33 := (= #10 #32) -#34 := [rewrite]: #33 -#37 := [monotonicity #34]: #36 -#40 := [trans #37 #39]: #12 -#43 := [monotonicity #40]: #42 -#47 := [trans #43 #45]: #46 -#50 := [monotonicity #47]: #49 -#54 := [trans #50 #52]: #53 -#30 := [asserted]: #13 -[mp #30 #54]: false -unsat -60b8185463f5b2ce142483f90c095e9accf8989c 35 0 -#2 := false -decl f3 :: real -#8 := f3 -#9 := 3::real -#10 := (* f3 3::real) -#11 := (/ #10 3::real) -#12 := (= #11 f3) -#13 := (not #12) -#52 := (iff #13 false) -#1 := true -#47 := (not true) -#50 := (iff #47 false) -#51 := [rewrite]: #50 -#48 := (iff #13 #47) -#45 := (iff #12 true) -#40 := (= f3 f3) -#43 := (iff #40 true) -#44 := [rewrite]: #43 -#41 := (iff #12 #40) -#31 := (* 3::real f3) -#34 := (/ #31 3::real) -#37 := (= #34 f3) -#38 := [rewrite]: #37 -#35 := (= #11 #34) -#32 := (= #10 #31) -#33 := [rewrite]: #32 -#36 := [monotonicity #33]: #35 -#39 := [trans #36 #38]: #12 -#42 := [monotonicity #39]: #41 -#46 := [trans #42 #44]: #45 -#49 := [monotonicity #46]: #48 -#53 := [trans #49 #51]: #52 -#30 := [asserted]: #13 -[mp #30 #53]: false -unsat -2f685a966903afb267e7499dd8ad6b2b43caca93 75 0 +86149959970b3ea28fbf17dcb380883b8a659842 75 0 #2 := false #8 := 0::real decl f3 :: real @@ -47343,70 +47408,68 @@ #96 := [unit-resolution #95 #92]: #90 [th-lemma #89 #70 #96]: false unsat -8140105cc276b32acd77e4f2cd380fea1f24efd8 62 0 -#2 := false -#8 := 0::real +3adfdc99c7629ab533bda7bf39a3bd8e76e15d1b 60 0 +#2 := false +#9 := 0::real decl f3 :: real -#9 := f3 -#67 := 1/3::real -#68 := (* 1/3::real f3) -#69 := (<= #68 0::real) -#65 := (not #69) -#54 := (<= f3 0::real) -#71 := (or #54 #65) -#74 := (not #71) -#13 := 3::real -#11 := 2::real -#12 := (* 2::real f3) -#14 := (/ #12 3::real) -#15 := (< #14 f3) -#10 := (< 0::real f3) -#16 := (implies #10 #15) -#17 := (not #16) -#77 := (iff #17 #74) -#36 := 2/3::real -#37 := (* 2/3::real f3) -#39 := (< #37 f3) -#45 := (not #10) -#46 := (or #45 #39) -#51 := (not #46) -#75 := (iff #51 #74) -#72 := (iff #46 #71) -#66 := (iff #39 #65) -#70 := [rewrite]: #66 -#63 := (iff #45 #54) -#55 := (not #54) -#58 := (not #55) -#61 := (iff #58 #54) -#62 := [rewrite]: #61 -#59 := (iff #45 #58) -#56 := (iff #10 #55) -#57 := [rewrite]: #56 -#60 := [monotonicity #57]: #59 -#64 := [trans #60 #62]: #63 -#73 := [monotonicity #64 #70]: #72 -#76 := [monotonicity #73]: #75 -#52 := (iff #17 #51) -#49 := (iff #16 #46) -#42 := (implies #10 #39) -#47 := (iff #42 #46) -#48 := [rewrite]: #47 -#43 := (iff #16 #42) -#40 := (iff #15 #39) -#35 := (= #14 #37) -#38 := [rewrite]: #35 -#41 := [monotonicity #38]: #40 -#44 := [monotonicity #41]: #43 -#50 := [trans #44 #48]: #49 -#53 := [monotonicity #50]: #52 -#78 := [trans #53 #76]: #77 -#34 := [asserted]: #17 -#79 := [mp #34 #78]: #74 -#81 := [not-or-elim #79]: #69 -#80 := [not-or-elim #79]: #55 -[th-lemma #80 #81]: false -unsat -4a38ab99c62d0654d0c5bc149db3e769cf921224 132 0 +#8 := f3 +#67 := 2/3::real +#68 := (* 2/3::real f3) +#65 := (>= #68 0::real) +#63 := (not #65) +#54 := (>= f3 0::real) +#69 := (or #54 #63) +#72 := (not #69) +#11 := 3::real +#12 := (/ f3 3::real) +#13 := (< f3 #12) +#10 := (< f3 0::real) +#14 := (implies #10 #13) +#15 := (not #14) +#75 := (iff #15 #72) +#33 := 1/3::real +#34 := (* 1/3::real f3) +#37 := (< f3 #34) +#43 := (not #10) +#44 := (or #43 #37) +#49 := (not #44) +#73 := (iff #49 #72) +#70 := (iff #44 #69) +#64 := (iff #37 #63) +#66 := [rewrite]: #64 +#61 := (iff #43 #54) +#52 := (not #54) +#56 := (not #52) +#59 := (iff #56 #54) +#60 := [rewrite]: #59 +#57 := (iff #43 #56) +#53 := (iff #10 #52) +#55 := [rewrite]: #53 +#58 := [monotonicity #55]: #57 +#62 := [trans #58 #60]: #61 +#71 := [monotonicity #62 #66]: #70 +#74 := [monotonicity #71]: #73 +#50 := (iff #15 #49) +#47 := (iff #14 #44) +#40 := (implies #10 #37) +#45 := (iff #40 #44) +#46 := [rewrite]: #45 +#41 := (iff #14 #40) +#38 := (iff #13 #37) +#35 := (= #12 #34) +#36 := [rewrite]: #35 +#39 := [monotonicity #36]: #38 +#42 := [monotonicity #39]: #41 +#48 := [trans #42 #46]: #47 +#51 := [monotonicity #48]: #50 +#76 := [trans #51 #74]: #75 +#32 := [asserted]: #15 +#77 := [mp #32 #76]: #72 +#79 := [not-or-elim #77]: #65 +#78 := [not-or-elim #77]: #52 +[th-lemma #78 #79]: false +unsat +9239e81a3a819598711273c035c67b58cc850e19 132 0 #2 := false #9 := 0::real decl f3 :: real @@ -47539,70 +47602,7 @@ #162 := [th-lemma]: #161 [unit-resolution #162 #160 #143]: false unsat -9a571f31a85693be816acc5c7b7aa7362cb820bb 62 0 -#2 := false -#9 := 0::real -decl f3 :: real -#8 := f3 -#69 := 1/3::real -#70 := (* 1/3::real f3) -#67 := (>= #70 0::real) -#65 := (not #67) -#56 := (>= f3 0::real) -#71 := (or #56 #65) -#74 := (not #71) -#13 := 3::real -#11 := 2::real -#12 := (* 2::real f3) -#14 := (/ #12 3::real) -#15 := (< f3 #14) -#10 := (< f3 0::real) -#16 := (implies #10 #15) -#17 := (not #16) -#77 := (iff #17 #74) -#36 := 2/3::real -#37 := (* 2/3::real f3) -#39 := (< f3 #37) -#45 := (not #10) -#46 := (or #45 #39) -#51 := (not #46) -#75 := (iff #51 #74) -#72 := (iff #46 #71) -#66 := (iff #39 #65) -#68 := [rewrite]: #66 -#63 := (iff #45 #56) -#54 := (not #56) -#58 := (not #54) -#61 := (iff #58 #56) -#62 := [rewrite]: #61 -#59 := (iff #45 #58) -#55 := (iff #10 #54) -#57 := [rewrite]: #55 -#60 := [monotonicity #57]: #59 -#64 := [trans #60 #62]: #63 -#73 := [monotonicity #64 #68]: #72 -#76 := [monotonicity #73]: #75 -#52 := (iff #17 #51) -#49 := (iff #16 #46) -#42 := (implies #10 #39) -#47 := (iff #42 #46) -#48 := [rewrite]: #47 -#43 := (iff #16 #42) -#40 := (iff #15 #39) -#35 := (= #14 #37) -#38 := [rewrite]: #35 -#41 := [monotonicity #38]: #40 -#44 := [monotonicity #41]: #43 -#50 := [trans #44 #48]: #49 -#53 := [monotonicity #50]: #52 -#78 := [trans #53 #76]: #77 -#34 := [asserted]: #17 -#79 := [mp #34 #78]: #74 -#81 := [not-or-elim #79]: #67 -#80 := [not-or-elim #79]: #54 -[th-lemma #80 #81]: false -unsat -704113f68324742364e301291c46543b32d30adc 103 0 +e3b48db6caf5e610a2e9a0bcae40a85fdd5e39bf 103 0 #2 := false #8 := 0::real decl f3 :: real @@ -47706,7 +47706,7 @@ #124 := [unit-resolution #123 #120]: #115 [th-lemma #110 #124]: false unsat -c7322eea663ce724ffdf3e5de8e20e490ab8caf6 57 0 +e9188136c9d6e220e6ee3a401a574bb3b56f838f 57 0 #2 := false #36 := 0::real decl f4 :: real @@ -47764,7 +47764,7 @@ #77 := [th-lemma]: #76 [unit-resolution #77 #74 #56]: false unsat -099809f4b951e6c4b8dd87d068c12977d185ca9a 149 0 +00baaea05aa472fbe57df430837e148f4a44397f 149 0 #2 := false #9 := 0::real decl f3 :: real @@ -47914,7 +47914,7 @@ #170 := [unit-resolution #169 #155]: #97 [th-lemma #159 #170 #167]: false unsat -f580fbf74c17d6b6fb5afde9912701d1c54bba4d 57 0 +6166959cee3110b0d0634dd50d7cb2cfabb9eb5a 57 0 #2 := false #36 := 0::real decl f4 :: real @@ -47972,7 +47972,111 @@ #77 := [unit-resolution #76 #73]: #71 [th-lemma #77 #56 #72]: false unsat -29b8934bcf2c51c8a551e0b17bf814bf8deedd61 114 0 +92d942d88d8ad274a6c24a4a1642ec3e151829bd 103 0 +#2 := false +#45 := 0::real +decl f5 :: real +#11 := f5 +decl f4 :: real +#9 := f4 +#43 := -1::real +#53 := (* -1::real f5) +#63 := (+ f4 #53) +#64 := (<= #63 0::real) +#67 := (ite #64 f4 f5) +#75 := (* -1::real #67) +decl f3 :: real +#8 := f3 +#76 := (+ f3 #75) +#74 := (>= #76 0::real) +#73 := (not #74) +#54 := (+ f3 #53) +#52 := (>= #54 0::real) +#51 := (not #52) +#47 := (* -1::real f4) +#48 := (+ f3 #47) +#46 := (>= #48 0::real) +#44 := (not #46) +#57 := (and #44 #51) +#60 := (not #57) +#81 := (or #60 #73) +#84 := (not #81) +#14 := (<= f4 f5) +#15 := (ite #14 f4 f5) +#16 := (< f3 #15) +#12 := (< f3 f5) +#10 := (< f3 f4) +#13 := (and #10 #12) +#17 := (implies #13 #16) +#18 := (not #17) +#87 := (iff #18 #84) +#36 := (not #13) +#37 := (or #36 #16) +#40 := (not #37) +#85 := (iff #40 #84) +#82 := (iff #37 #81) +#79 := (iff #16 #73) +#70 := (< f3 #67) +#77 := (iff #70 #73) +#78 := [rewrite]: #77 +#71 := (iff #16 #70) +#68 := (= #15 #67) +#65 := (iff #14 #64) +#66 := [rewrite]: #65 +#69 := [monotonicity #66]: #68 +#72 := [monotonicity #69]: #71 +#80 := [trans #72 #78]: #79 +#61 := (iff #36 #60) +#58 := (iff #13 #57) +#55 := (iff #12 #51) +#56 := [rewrite]: #55 +#49 := (iff #10 #44) +#50 := [rewrite]: #49 +#59 := [monotonicity #50 #56]: #58 +#62 := [monotonicity #59]: #61 +#83 := [monotonicity #62 #80]: #82 +#86 := [monotonicity #83]: #85 +#41 := (iff #18 #40) +#38 := (iff #17 #37) +#39 := [rewrite]: #38 +#42 := [monotonicity #39]: #41 +#88 := [trans #42 #86]: #87 +#35 := [asserted]: #18 +#89 := [mp #35 #88]: #84 +#93 := [not-or-elim #89]: #74 +#90 := [not-or-elim #89]: #57 +#92 := [and-elim #90]: #51 +#98 := (+ f5 #75) +#115 := (<= #98 0::real) +#104 := (= f5 #67) +#105 := (not #64) +#103 := (= f4 #67) +#110 := (not #103) +#100 := (+ f4 #75) +#97 := (<= #100 0::real) +#107 := (not #97) +#91 := [and-elim #90]: #44 +#96 := [hypothesis]: #97 +#94 := [th-lemma #96 #91 #93]: false +#108 := [lemma #94]: #107 +#109 := [hypothesis]: #103 +#111 := (or #110 #97) +#112 := [th-lemma]: #111 +#113 := [unit-resolution #112 #109 #108]: false +#114 := [lemma #113]: #110 +#106 := (or #105 #103) +#101 := [def-axiom]: #106 +#117 := [unit-resolution #101 #114]: #105 +#102 := (or #64 #104) +#99 := [def-axiom]: #102 +#118 := [unit-resolution #99 #117]: #104 +#119 := (not #104) +#120 := (or #119 #115) +#121 := [th-lemma]: #120 +#122 := [unit-resolution #121 #118]: #115 +[th-lemma #122 #92 #93]: false +unsat +ebd0660c7140785afcd9de0809a5083ea0dcee04 114 0 #2 := false #9 := 0::real decl f3 :: real @@ -48087,169 +48191,7 @@ #143 := [unit-resolution #142 #139]: #137 [th-lemma #136 #134 #143]: false unsat -cc7a80da13c82cc207500cb8afbaae97318e63e2 103 0 -#2 := false -#45 := 0::real -decl f5 :: real -#11 := f5 -decl f4 :: real -#9 := f4 -#43 := -1::real -#53 := (* -1::real f5) -#63 := (+ f4 #53) -#64 := (<= #63 0::real) -#67 := (ite #64 f4 f5) -#75 := (* -1::real #67) -decl f3 :: real -#8 := f3 -#76 := (+ f3 #75) -#74 := (>= #76 0::real) -#73 := (not #74) -#54 := (+ f3 #53) -#52 := (>= #54 0::real) -#51 := (not #52) -#47 := (* -1::real f4) -#48 := (+ f3 #47) -#46 := (>= #48 0::real) -#44 := (not #46) -#57 := (and #44 #51) -#60 := (not #57) -#81 := (or #60 #73) -#84 := (not #81) -#14 := (<= f4 f5) -#15 := (ite #14 f4 f5) -#16 := (< f3 #15) -#12 := (< f3 f5) -#10 := (< f3 f4) -#13 := (and #10 #12) -#17 := (implies #13 #16) -#18 := (not #17) -#87 := (iff #18 #84) -#36 := (not #13) -#37 := (or #36 #16) -#40 := (not #37) -#85 := (iff #40 #84) -#82 := (iff #37 #81) -#79 := (iff #16 #73) -#70 := (< f3 #67) -#77 := (iff #70 #73) -#78 := [rewrite]: #77 -#71 := (iff #16 #70) -#68 := (= #15 #67) -#65 := (iff #14 #64) -#66 := [rewrite]: #65 -#69 := [monotonicity #66]: #68 -#72 := [monotonicity #69]: #71 -#80 := [trans #72 #78]: #79 -#61 := (iff #36 #60) -#58 := (iff #13 #57) -#55 := (iff #12 #51) -#56 := [rewrite]: #55 -#49 := (iff #10 #44) -#50 := [rewrite]: #49 -#59 := [monotonicity #50 #56]: #58 -#62 := [monotonicity #59]: #61 -#83 := [monotonicity #62 #80]: #82 -#86 := [monotonicity #83]: #85 -#41 := (iff #18 #40) -#38 := (iff #17 #37) -#39 := [rewrite]: #38 -#42 := [monotonicity #39]: #41 -#88 := [trans #42 #86]: #87 -#35 := [asserted]: #18 -#89 := [mp #35 #88]: #84 -#93 := [not-or-elim #89]: #74 -#90 := [not-or-elim #89]: #57 -#92 := [and-elim #90]: #51 -#98 := (+ f5 #75) -#115 := (<= #98 0::real) -#104 := (= f5 #67) -#105 := (not #64) -#103 := (= f4 #67) -#110 := (not #103) -#100 := (+ f4 #75) -#97 := (<= #100 0::real) -#107 := (not #97) -#91 := [and-elim #90]: #44 -#96 := [hypothesis]: #97 -#94 := [th-lemma #96 #91 #93]: false -#108 := [lemma #94]: #107 -#109 := [hypothesis]: #103 -#111 := (or #110 #97) -#112 := [th-lemma]: #111 -#113 := [unit-resolution #112 #109 #108]: false -#114 := [lemma #113]: #110 -#106 := (or #105 #103) -#101 := [def-axiom]: #106 -#117 := [unit-resolution #101 #114]: #105 -#102 := (or #64 #104) -#99 := [def-axiom]: #102 -#118 := [unit-resolution #99 #117]: #104 -#119 := (not #104) -#120 := (or #119 #115) -#121 := [th-lemma]: #120 -#122 := [unit-resolution #121 #118]: #115 -[th-lemma #122 #92 #93]: false -unsat -dcaa54c51c4b138dac6c0178c67a0d52f05b3002 57 0 -#2 := false -#36 := 0::real -decl f4 :: real -#9 := f4 -#33 := -1::real -#34 := (* -1::real f4) -decl f3 :: real -#8 := f3 -#35 := (+ f3 #34) -#37 := (<= #35 0::real) -#40 := (ite #37 f4 f3) -#61 := (= f3 #40) -#65 := (not #61) -#46 := (* -1::real #40) -#47 := (+ f3 #46) -#48 := (<= #47 0::real) -#53 := (not #48) -#10 := (<= f3 f4) -#11 := (ite #10 f4 f3) -#12 := (<= f3 #11) -#13 := (not #12) -#54 := (iff #13 #53) -#51 := (iff #12 #48) -#43 := (<= f3 #40) -#49 := (iff #43 #48) -#50 := [rewrite]: #49 -#44 := (iff #12 #43) -#41 := (= #11 #40) -#38 := (iff #10 #37) -#39 := [rewrite]: #38 -#42 := [monotonicity #39]: #41 -#45 := [monotonicity #42]: #44 -#52 := [trans #45 #50]: #51 -#55 := [monotonicity #52]: #54 -#30 := [asserted]: #13 -#56 := [mp #30 #55]: #53 -#64 := [hypothesis]: #61 -#66 := (or #65 #48) -#67 := [th-lemma]: #66 -#68 := [unit-resolution #67 #64 #56]: false -#69 := [lemma #68]: #65 -#59 := (or #37 #61) -#57 := [def-axiom]: #59 -#72 := [unit-resolution #57 #69]: #37 -#31 := (+ f4 #46) -#70 := (<= #31 0::real) -#60 := (= f4 #40) -#62 := (not #37) -#63 := (or #62 #60) -#58 := [def-axiom]: #63 -#73 := [unit-resolution #58 #72]: #60 -#74 := (not #60) -#75 := (or #74 #70) -#76 := [th-lemma]: #75 -#77 := [unit-resolution #76 #73]: #70 -[th-lemma #77 #56 #72]: false -unsat -23d9458c2d94638d741588b7f5f53da3b743fc4b 86 0 +bc553cd04d1e096b5239cc4030cde6a6b1f35726 86 0 #2 := false decl f3 :: real #8 := f3 @@ -48336,65 +48278,7 @@ #105 := [trans #104 #83]: #51 [unit-resolution #57 #105]: false unsat -ef39e4f5f84c012d1a7afd1eb9ae7787355eb901 57 0 -#2 := false -#35 := 0::real -decl f4 :: real -#9 := f4 -decl f3 :: real -#8 := f3 -#33 := -1::real -#37 := (* -1::real f4) -#38 := (+ f3 #37) -#36 := (>= #38 0::real) -#40 := (ite #36 f3 f4) -#46 := (* -1::real #40) -#47 := (+ f3 #46) -#48 := (<= #47 0::real) -#53 := (not #48) -#10 := (<= f4 f3) -#11 := (ite #10 f3 f4) -#12 := (<= f3 #11) -#13 := (not #12) -#54 := (iff #13 #53) -#51 := (iff #12 #48) -#43 := (<= f3 #40) -#49 := (iff #43 #48) -#50 := [rewrite]: #49 -#44 := (iff #12 #43) -#41 := (= #11 #40) -#34 := (iff #10 #36) -#39 := [rewrite]: #34 -#42 := [monotonicity #39]: #41 -#45 := [monotonicity #42]: #44 -#52 := [trans #45 #50]: #51 -#55 := [monotonicity #52]: #54 -#30 := [asserted]: #13 -#56 := [mp #30 #55]: #53 -#60 := (= f3 #40) -#31 := (+ f4 #46) -#64 := (<= #31 0::real) -#61 := (= f4 #40) -#62 := (not #36) -#66 := [hypothesis]: #62 -#59 := (or #36 #61) -#57 := [def-axiom]: #59 -#67 := [unit-resolution #57 #66]: #61 -#68 := (not #61) -#69 := (or #68 #64) -#70 := [th-lemma]: #69 -#71 := [unit-resolution #70 #67]: #64 -#72 := [th-lemma #56 #66 #71]: false -#73 := [lemma #72]: #36 -#63 := (or #62 #60) -#58 := [def-axiom]: #63 -#74 := [unit-resolution #58 #73]: #60 -#75 := (not #60) -#76 := (or #75 #48) -#77 := [th-lemma]: #76 -[unit-resolution #77 #74 #56]: false -unsat -ca3670773dec1aa185941c6109c12ef74c091595 68 0 +ace00ee2ae241d978310b9741895c318a66ed629 68 0 #2 := false #8 := 0::real decl f3 :: real @@ -48463,111 +48347,65 @@ #88 := [trans #87 #84]: #13 [unit-resolution #71 #88]: false unsat -7eae59ca8b45a027fbc591665e655f191dd6bbc4 103 0 -#2 := false -#45 := 0::real -decl f3 :: real -#8 := f3 -decl f5 :: real -#11 := f5 -#43 := -1::real -#51 := (* -1::real f5) -#63 := (+ f3 #51) -#64 := (<= #63 0::real) -#67 := (ite #64 f5 f3) -#73 := (* -1::real #67) +e81fb3c2654f8ea7635466cd1678fb1937f5d399 57 0 +#2 := false +#36 := 0::real decl f4 :: real #9 := f4 -#74 := (+ f4 #73) -#75 := (<= #74 0::real) -#76 := (not #75) -#52 := (+ f4 #51) -#53 := (<= #52 0::real) -#54 := (not #53) -#47 := (* -1::real f4) -#48 := (+ f3 #47) -#46 := (>= #48 0::real) -#44 := (not #46) -#57 := (and #44 #54) -#60 := (not #57) -#81 := (or #60 #76) -#84 := (not #81) -#14 := (<= f3 f5) -#15 := (ite #14 f5 f3) -#16 := (< #15 f4) -#12 := (< f5 f4) -#10 := (< f3 f4) -#13 := (and #10 #12) -#17 := (implies #13 #16) -#18 := (not #17) -#87 := (iff #18 #84) -#36 := (not #13) -#37 := (or #36 #16) -#40 := (not #37) -#85 := (iff #40 #84) -#82 := (iff #37 #81) -#79 := (iff #16 #76) -#70 := (< #67 f4) -#77 := (iff #70 #76) -#78 := [rewrite]: #77 -#71 := (iff #16 #70) -#68 := (= #15 #67) -#65 := (iff #14 #64) -#66 := [rewrite]: #65 -#69 := [monotonicity #66]: #68 -#72 := [monotonicity #69]: #71 -#80 := [trans #72 #78]: #79 -#61 := (iff #36 #60) -#58 := (iff #13 #57) -#55 := (iff #12 #54) -#56 := [rewrite]: #55 -#49 := (iff #10 #44) +#33 := -1::real +#34 := (* -1::real f4) +decl f3 :: real +#8 := f3 +#35 := (+ f3 #34) +#37 := (<= #35 0::real) +#40 := (ite #37 f4 f3) +#61 := (= f3 #40) +#65 := (not #61) +#46 := (* -1::real #40) +#47 := (+ f3 #46) +#48 := (<= #47 0::real) +#53 := (not #48) +#10 := (<= f3 f4) +#11 := (ite #10 f4 f3) +#12 := (<= f3 #11) +#13 := (not #12) +#54 := (iff #13 #53) +#51 := (iff #12 #48) +#43 := (<= f3 #40) +#49 := (iff #43 #48) #50 := [rewrite]: #49 -#59 := [monotonicity #50 #56]: #58 -#62 := [monotonicity #59]: #61 -#83 := [monotonicity #62 #80]: #82 -#86 := [monotonicity #83]: #85 -#41 := (iff #18 #40) -#38 := (iff #17 #37) +#44 := (iff #12 #43) +#41 := (= #11 #40) +#38 := (iff #10 #37) #39 := [rewrite]: #38 #42 := [monotonicity #39]: #41 -#88 := [trans #42 #86]: #87 -#35 := [asserted]: #18 -#89 := [mp #35 #88]: #84 -#93 := [not-or-elim #89]: #75 -#90 := [not-or-elim #89]: #57 -#91 := [and-elim #90]: #44 -#97 := (+ f3 #73) -#116 := (>= #97 0::real) -#104 := (= f3 #67) -#105 := (not #64) -#103 := (= f5 #67) -#110 := (not #103) -#100 := (+ f5 #73) -#98 := (>= #100 0::real) -#107 := (not #98) -#92 := [and-elim #90]: #54 -#96 := [hypothesis]: #98 -#94 := [th-lemma #96 #92 #93]: false -#108 := [lemma #94]: #107 -#109 := [hypothesis]: #103 -#111 := (or #110 #98) -#112 := [th-lemma]: #111 -#113 := [unit-resolution #112 #109 #108]: false -#114 := [lemma #113]: #110 -#106 := (or #105 #103) -#101 := [def-axiom]: #106 -#117 := [unit-resolution #101 #114]: #105 -#102 := (or #64 #104) -#99 := [def-axiom]: #102 -#118 := [unit-resolution #99 #117]: #104 -#119 := (not #104) -#120 := (or #119 #116) -#121 := [th-lemma]: #120 -#122 := [unit-resolution #121 #118]: #116 -[th-lemma #122 #91 #93]: false -unsat -a5005d5e2177d7e219c0762e500aaee9c6b18ed1 124 0 +#45 := [monotonicity #42]: #44 +#52 := [trans #45 #50]: #51 +#55 := [monotonicity #52]: #54 +#30 := [asserted]: #13 +#56 := [mp #30 #55]: #53 +#64 := [hypothesis]: #61 +#66 := (or #65 #48) +#67 := [th-lemma]: #66 +#68 := [unit-resolution #67 #64 #56]: false +#69 := [lemma #68]: #65 +#59 := (or #37 #61) +#57 := [def-axiom]: #59 +#72 := [unit-resolution #57 #69]: #37 +#31 := (+ f4 #46) +#70 := (<= #31 0::real) +#60 := (= f4 #40) +#62 := (not #37) +#63 := (or #62 #60) +#58 := [def-axiom]: #63 +#73 := [unit-resolution #58 #72]: #60 +#74 := (not #60) +#75 := (or #74 #70) +#76 := [th-lemma]: #75 +#77 := [unit-resolution #76 #73]: #70 +[th-lemma #77 #56 #72]: false +unsat +3664abc26f14854ad536c42c42a627c251d7213d 124 0 #2 := false #13 := 0::real decl f4 :: real @@ -48692,7 +48530,169 @@ #145 := [unit-resolution #117 #144]: #106 [th-lemma #131 #143 #141 #85 #145]: false unsat -f8a9afea5f80c13265f7efc519efee9034d86aaa 88 0 +927cad57bf38ad7e837486701c357c7d04ee43f1 57 0 +#2 := false +#35 := 0::real +decl f4 :: real +#9 := f4 +decl f3 :: real +#8 := f3 +#33 := -1::real +#37 := (* -1::real f4) +#38 := (+ f3 #37) +#36 := (>= #38 0::real) +#40 := (ite #36 f3 f4) +#46 := (* -1::real #40) +#47 := (+ f3 #46) +#48 := (<= #47 0::real) +#53 := (not #48) +#10 := (<= f4 f3) +#11 := (ite #10 f3 f4) +#12 := (<= f3 #11) +#13 := (not #12) +#54 := (iff #13 #53) +#51 := (iff #12 #48) +#43 := (<= f3 #40) +#49 := (iff #43 #48) +#50 := [rewrite]: #49 +#44 := (iff #12 #43) +#41 := (= #11 #40) +#34 := (iff #10 #36) +#39 := [rewrite]: #34 +#42 := [monotonicity #39]: #41 +#45 := [monotonicity #42]: #44 +#52 := [trans #45 #50]: #51 +#55 := [monotonicity #52]: #54 +#30 := [asserted]: #13 +#56 := [mp #30 #55]: #53 +#60 := (= f3 #40) +#31 := (+ f4 #46) +#64 := (<= #31 0::real) +#61 := (= f4 #40) +#62 := (not #36) +#66 := [hypothesis]: #62 +#59 := (or #36 #61) +#57 := [def-axiom]: #59 +#67 := [unit-resolution #57 #66]: #61 +#68 := (not #61) +#69 := (or #68 #64) +#70 := [th-lemma]: #69 +#71 := [unit-resolution #70 #67]: #64 +#72 := [th-lemma #56 #66 #71]: false +#73 := [lemma #72]: #36 +#63 := (or #62 #60) +#58 := [def-axiom]: #63 +#74 := [unit-resolution #58 #73]: #60 +#75 := (not #60) +#76 := (or #75 #48) +#77 := [th-lemma]: #76 +[unit-resolution #77 #74 #56]: false +unsat +d6fff20b692527fbc5f2c570f30f65c6b5299749 103 0 +#2 := false +#45 := 0::real +decl f3 :: real +#8 := f3 +decl f5 :: real +#11 := f5 +#43 := -1::real +#51 := (* -1::real f5) +#63 := (+ f3 #51) +#64 := (<= #63 0::real) +#67 := (ite #64 f5 f3) +#73 := (* -1::real #67) +decl f4 :: real +#9 := f4 +#74 := (+ f4 #73) +#75 := (<= #74 0::real) +#76 := (not #75) +#52 := (+ f4 #51) +#53 := (<= #52 0::real) +#54 := (not #53) +#47 := (* -1::real f4) +#48 := (+ f3 #47) +#46 := (>= #48 0::real) +#44 := (not #46) +#57 := (and #44 #54) +#60 := (not #57) +#81 := (or #60 #76) +#84 := (not #81) +#14 := (<= f3 f5) +#15 := (ite #14 f5 f3) +#16 := (< #15 f4) +#12 := (< f5 f4) +#10 := (< f3 f4) +#13 := (and #10 #12) +#17 := (implies #13 #16) +#18 := (not #17) +#87 := (iff #18 #84) +#36 := (not #13) +#37 := (or #36 #16) +#40 := (not #37) +#85 := (iff #40 #84) +#82 := (iff #37 #81) +#79 := (iff #16 #76) +#70 := (< #67 f4) +#77 := (iff #70 #76) +#78 := [rewrite]: #77 +#71 := (iff #16 #70) +#68 := (= #15 #67) +#65 := (iff #14 #64) +#66 := [rewrite]: #65 +#69 := [monotonicity #66]: #68 +#72 := [monotonicity #69]: #71 +#80 := [trans #72 #78]: #79 +#61 := (iff #36 #60) +#58 := (iff #13 #57) +#55 := (iff #12 #54) +#56 := [rewrite]: #55 +#49 := (iff #10 #44) +#50 := [rewrite]: #49 +#59 := [monotonicity #50 #56]: #58 +#62 := [monotonicity #59]: #61 +#83 := [monotonicity #62 #80]: #82 +#86 := [monotonicity #83]: #85 +#41 := (iff #18 #40) +#38 := (iff #17 #37) +#39 := [rewrite]: #38 +#42 := [monotonicity #39]: #41 +#88 := [trans #42 #86]: #87 +#35 := [asserted]: #18 +#89 := [mp #35 #88]: #84 +#93 := [not-or-elim #89]: #75 +#90 := [not-or-elim #89]: #57 +#91 := [and-elim #90]: #44 +#97 := (+ f3 #73) +#116 := (>= #97 0::real) +#104 := (= f3 #67) +#105 := (not #64) +#103 := (= f5 #67) +#110 := (not #103) +#100 := (+ f5 #73) +#98 := (>= #100 0::real) +#107 := (not #98) +#92 := [and-elim #90]: #54 +#96 := [hypothesis]: #98 +#94 := [th-lemma #96 #92 #93]: false +#108 := [lemma #94]: #107 +#109 := [hypothesis]: #103 +#111 := (or #110 #98) +#112 := [th-lemma]: #111 +#113 := [unit-resolution #112 #109 #108]: false +#114 := [lemma #113]: #110 +#106 := (or #105 #103) +#101 := [def-axiom]: #106 +#117 := [unit-resolution #101 #114]: #105 +#102 := (or #64 #104) +#99 := [def-axiom]: #102 +#118 := [unit-resolution #99 #117]: #104 +#119 := (not #104) +#120 := (or #119 #116) +#121 := [th-lemma]: #120 +#122 := [unit-resolution #121 #118]: #116 +[th-lemma #122 #91 #93]: false +unsat +71c351bb1819ddd2772bbf0065af1d459d5e627d 88 0 #2 := false decl f4 :: real #9 := f4 @@ -48781,7 +48781,7 @@ #109 := [trans #108 #83]: #51 [unit-resolution #57 #109]: false unsat -c008fb0a346a13df61c397707ef86eadaaaaf028 66 0 +0871a2d7a1a8feb4c622a99d4a7c9677b08adbc1 66 0 #2 := false decl f3 :: real #9 := f3 @@ -48848,26 +48848,7 @@ #86 := [trans #83 #85]: #33 [unit-resolution #69 #86]: false unsat -6fa8c48985ebc99327aefe25360343fbef04699f 18 0 -#2 := false -decl f3 :: real -#8 := f3 -#9 := (<= f3 f3) -#10 := (not #9) -#37 := (iff #10 false) -#1 := true -#32 := (not true) -#35 := (iff #32 false) -#36 := [rewrite]: #35 -#33 := (iff #10 #32) -#30 := (iff #9 true) -#31 := [rewrite]: #30 -#34 := [monotonicity #31]: #33 -#38 := [trans #34 #36]: #37 -#27 := [asserted]: #10 -[mp #27 #38]: false -unsat -3ea0cce22deeb1cf0a91c70b01f38d938cbfca2b 228 0 +f25887cff9f186252a40569f295759f63c1a99d5 228 0 #2 := false #9 := 0::real decl f4 :: real @@ -49096,7 +49077,26 @@ #250 := [unit-resolution #196 #249]: #190 [th-lemma #236 #250 #131 #234 #248 #238]: false unsat -6246909589ff44c53af5060ab09e0fb241168550 50 0 +dec7d4cc8bde2cdb0d27eb6949a1b3c0be77f81d 18 0 +#2 := false +decl f3 :: real +#8 := f3 +#9 := (<= f3 f3) +#10 := (not #9) +#37 := (iff #10 false) +#1 := true +#32 := (not true) +#35 := (iff #32 false) +#36 := [rewrite]: #35 +#33 := (iff #10 #32) +#30 := (iff #9 true) +#31 := [rewrite]: #30 +#34 := [monotonicity #31]: #33 +#38 := [trans #34 #36]: #37 +#27 := [asserted]: #10 +[mp #27 #38]: false +unsat +a4cd1ac41bf4526fafd89a49dac8eaa0aa8148d4 50 0 #2 := false #44 := 0::real decl f4 :: real @@ -49147,7 +49147,7 @@ #68 := [not-or-elim #65]: #67 [th-lemma #68 #66]: false unsat -9a368b708e53fe0140c26e7ca790639aa465ac37 55 0 +f04ec87433f814fae44c74b8e4463331c99ee4d7 55 0 #2 := false #43 := 0::real decl f4 :: real @@ -49203,7 +49203,7 @@ #72 := [not-or-elim #71]: #42 [th-lemma #72 #73]: false unsat -9d1b38a4c0ecf43766b852c7e4d288a3e46da901 52 0 +306ff8b8fc070291a5ab7a64ab57d274b4990969 52 0 #2 := false #40 := 0::real decl f4 :: real @@ -49256,51 +49256,7 @@ #77 := [unit-resolution #76 #65]: #53 [unit-resolution #77 #67]: false unsat -7db3ee0924a4cb1b14a4cebbf1c598c0b8dbec57 43 0 -#2 := false -decl f5 :: (-> S2 S2 S3) -#15 := (:var 0 S2) -#14 := (:var 1 S2) -#16 := (f5 #14 #15) -#561 := (pattern #16) -decl f4 :: (-> S3 S2) -#17 := (f4 #16) -#47 := (= #14 #17) -#562 := (forall (vars (?v0 S2) (?v1 S2)) (:pat #561) #47) -#50 := (forall (vars (?v0 S2) (?v1 S2)) #47) -#565 := (iff #50 #562) -#563 := (iff #47 #47) -#564 := [refl]: #563 -#566 := [quant-intro #564]: #565 -#83 := (~ #50 #50) -#81 := (~ #47 #47) -#82 := [refl]: #81 -#84 := [nnf-pos #82]: #83 -#18 := (= #17 #14) -#19 := (forall (vars (?v0 S2) (?v1 S2)) #18) -#51 := (iff #19 #50) -#48 := (iff #18 #47) -#49 := [rewrite]: #48 -#52 := [quant-intro #49]: #51 -#46 := [asserted]: #19 -#55 := [mp #46 #52]: #50 -#73 := [mp~ #55 #84]: #50 -#567 := [mp #73 #566]: #562 -decl f6 :: S2 -#9 := f6 -decl f3 :: S2 -#8 := f3 -#10 := (f5 f3 f6) -#11 := (f4 #10) -#12 := (= f3 #11) -#13 := (not #12) -#45 := [asserted]: #13 -#144 := (not #562) -#231 := (or #144 #12) -#145 := [quant-inst]: #231 -[unit-resolution #145 #45 #567]: false -unsat -5631a67f2c650efd9761a68c96a2b28d9ed4cdd0 15 0 +3e97f3eb9f24bfae7990e01bc01c5a21dda19218 15 0 #2 := false decl f3 :: real #8 := f3 @@ -49316,51 +49272,7 @@ #28 := [asserted]: #11 [mp #28 #34]: false unsat -8502f9cde674da83d9cbc8a977644ab6e85265ed 43 0 -#2 := false -decl f5 :: (-> S2 S2 S3) -#15 := (:var 0 S2) -#14 := (:var 1 S2) -#16 := (f5 #14 #15) -#561 := (pattern #16) -decl f4 :: (-> S3 S2) -#20 := (f4 #16) -#54 := (= #15 #20) -#568 := (forall (vars (?v0 S2) (?v1 S2)) (:pat #561) #54) -#58 := (forall (vars (?v0 S2) (?v1 S2)) #54) -#571 := (iff #58 #568) -#569 := (iff #54 #54) -#570 := [refl]: #569 -#572 := [quant-intro #570]: #571 -#75 := (~ #58 #58) -#74 := (~ #54 #54) -#72 := [refl]: #74 -#76 := [nnf-pos #72]: #75 -#21 := (= #20 #15) -#22 := (forall (vars (?v0 S2) (?v1 S2)) #21) -#59 := (iff #22 #58) -#56 := (iff #21 #54) -#57 := [rewrite]: #56 -#60 := [quant-intro #57]: #59 -#53 := [asserted]: #22 -#63 := [mp #53 #60]: #58 -#69 := [mp~ #63 #76]: #58 -#573 := [mp #69 #572]: #568 -decl f3 :: S2 -#8 := f3 -decl f6 :: S2 -#9 := f6 -#10 := (f5 f6 f3) -#11 := (f4 #10) -#12 := (= f3 #11) -#13 := (not #12) -#45 := [asserted]: #13 -#234 := (not #568) -#235 := (or #234 #12) -#163 := [quant-inst]: #235 -[unit-resolution #163 #45 #573]: false -unsat -c41bf12f912d9026a2697f2c615b98bf21c74fe7 75 0 +21d10b6d12abf591475883c4d7507c1168d34b59 75 0 #2 := false #53 := 0::real decl f4 :: real @@ -49436,7 +49348,413 @@ #89 := [not-or-elim #88]: #54 [th-lemma #89 #91 #92]: false unsat -7028fd42bf273f5da876a633b9b2fac12fd44679 85 0 +a2e7adbf25ec843eff2ffcb678b0be5736d7d96c 80 0 +#2 := false +#53 := 0::real +decl f4 :: real +#9 := f4 +#50 := -1::real +#66 := (* -1::real f4) +decl f3 :: real +#8 := f3 +#67 := (+ f3 #66) +#65 := (>= #67 0::real) +#64 := (not #65) +decl f5 :: real +#11 := f5 +#51 := (* -1::real f5) +#60 := (+ f3 #51) +#61 := (<= #60 0::real) +#52 := (+ f4 #51) +#54 := (<= #52 0::real) +#57 := (not #54) +#83 := (or #57 #61 #65) +#88 := (not #83) +#13 := (<= f3 f5) +#12 := (<= f4 f5) +#14 := (implies #12 #13) +#10 := (< f3 f4) +#15 := (implies #10 #14) +#16 := (not #15) +#91 := (iff #16 #88) +#34 := (not #12) +#35 := (or #34 #13) +#41 := (not #10) +#42 := (or #41 #35) +#47 := (not #42) +#89 := (iff #47 #88) +#86 := (iff #42 #83) +#77 := (or #57 #61) +#80 := (or #65 #77) +#84 := (iff #80 #83) +#85 := [rewrite]: #84 +#81 := (iff #42 #80) +#78 := (iff #35 #77) +#62 := (iff #13 #61) +#63 := [rewrite]: #62 +#58 := (iff #34 #57) +#55 := (iff #12 #54) +#56 := [rewrite]: #55 +#59 := [monotonicity #56]: #58 +#79 := [monotonicity #59 #63]: #78 +#75 := (iff #41 #65) +#70 := (not #64) +#73 := (iff #70 #65) +#74 := [rewrite]: #73 +#71 := (iff #41 #70) +#68 := (iff #10 #64) +#69 := [rewrite]: #68 +#72 := [monotonicity #69]: #71 +#76 := [trans #72 #74]: #75 +#82 := [monotonicity #76 #79]: #81 +#87 := [trans #82 #85]: #86 +#90 := [monotonicity #87]: #89 +#48 := (iff #16 #47) +#45 := (iff #15 #42) +#38 := (implies #10 #35) +#43 := (iff #38 #42) +#44 := [rewrite]: #43 +#39 := (iff #15 #38) +#36 := (iff #14 #35) +#37 := [rewrite]: #36 +#40 := [monotonicity #37]: #39 +#46 := [trans #40 #44]: #45 +#49 := [monotonicity #46]: #48 +#92 := [trans #49 #90]: #91 +#33 := [asserted]: #16 +#93 := [mp #33 #92]: #88 +#97 := [not-or-elim #93]: #64 +#95 := (not #61) +#96 := [not-or-elim #93]: #95 +#94 := [not-or-elim #93]: #54 +[th-lemma #94 #96 #97]: false +unsat +1a6c859282e9f174eccf2c9ae56d2a4283272a9d 80 0 +#2 := false +#52 := 0::real +decl f4 :: real +#9 := f4 +#50 := -1::real +#69 := (* -1::real f4) +decl f3 :: real +#8 := f3 +#70 := (+ f3 #69) +#71 := (<= #70 0::real) +#74 := (not #71) +decl f5 :: real +#11 := f5 +#54 := (* -1::real f5) +#65 := (+ f3 #54) +#66 := (<= #65 0::real) +#55 := (+ f4 #54) +#53 := (>= #55 0::real) +#83 := (or #53 #66 #74) +#88 := (not #83) +#13 := (<= f3 f5) +#12 := (< f4 f5) +#14 := (implies #12 #13) +#10 := (<= f3 f4) +#15 := (implies #10 #14) +#16 := (not #15) +#91 := (iff #16 #88) +#34 := (not #12) +#35 := (or #34 #13) +#41 := (not #10) +#42 := (or #41 #35) +#47 := (not #42) +#89 := (iff #47 #88) +#86 := (iff #42 #83) +#77 := (or #53 #66) +#80 := (or #74 #77) +#84 := (iff #80 #83) +#85 := [rewrite]: #84 +#81 := (iff #42 #80) +#78 := (iff #35 #77) +#67 := (iff #13 #66) +#68 := [rewrite]: #67 +#63 := (iff #34 #53) +#51 := (not #53) +#58 := (not #51) +#61 := (iff #58 #53) +#62 := [rewrite]: #61 +#59 := (iff #34 #58) +#56 := (iff #12 #51) +#57 := [rewrite]: #56 +#60 := [monotonicity #57]: #59 +#64 := [trans #60 #62]: #63 +#79 := [monotonicity #64 #68]: #78 +#75 := (iff #41 #74) +#72 := (iff #10 #71) +#73 := [rewrite]: #72 +#76 := [monotonicity #73]: #75 +#82 := [monotonicity #76 #79]: #81 +#87 := [trans #82 #85]: #86 +#90 := [monotonicity #87]: #89 +#48 := (iff #16 #47) +#45 := (iff #15 #42) +#38 := (implies #10 #35) +#43 := (iff #38 #42) +#44 := [rewrite]: #43 +#39 := (iff #15 #38) +#36 := (iff #14 #35) +#37 := [rewrite]: #36 +#40 := [monotonicity #37]: #39 +#46 := [trans #40 #44]: #45 +#49 := [monotonicity #46]: #48 +#92 := [trans #49 #90]: #91 +#33 := [asserted]: #16 +#93 := [mp #33 #92]: #88 +#97 := [not-or-elim #93]: #71 +#94 := [not-or-elim #93]: #51 +#95 := (not #66) +#96 := [not-or-elim #93]: #95 +[th-lemma #96 #94 #97]: false +unsat +a456c127f26b5322f4e875bd59145cba8570dfda 85 0 +#2 := false +#52 := 0::real +decl f4 :: real +#9 := f4 +#50 := -1::real +#72 := (* -1::real f4) +decl f3 :: real +#8 := f3 +#73 := (+ f3 #72) +#71 := (>= #73 0::real) +#70 := (not #71) +decl f5 :: real +#11 := f5 +#54 := (* -1::real f5) +#67 := (+ f3 #54) +#66 := (>= #67 0::real) +#65 := (not #66) +#55 := (+ f4 #54) +#53 := (>= #55 0::real) +#89 := (or #53 #65 #71) +#94 := (not #89) +#13 := (< f3 f5) +#12 := (< f4 f5) +#14 := (implies #12 #13) +#10 := (< f3 f4) +#15 := (implies #10 #14) +#16 := (not #15) +#97 := (iff #16 #94) +#34 := (not #12) +#35 := (or #34 #13) +#41 := (not #10) +#42 := (or #41 #35) +#47 := (not #42) +#95 := (iff #47 #94) +#92 := (iff #42 #89) +#83 := (or #53 #65) +#86 := (or #71 #83) +#90 := (iff #86 #89) +#91 := [rewrite]: #90 +#87 := (iff #42 #86) +#84 := (iff #35 #83) +#68 := (iff #13 #65) +#69 := [rewrite]: #68 +#63 := (iff #34 #53) +#51 := (not #53) +#58 := (not #51) +#61 := (iff #58 #53) +#62 := [rewrite]: #61 +#59 := (iff #34 #58) +#56 := (iff #12 #51) +#57 := [rewrite]: #56 +#60 := [monotonicity #57]: #59 +#64 := [trans #60 #62]: #63 +#85 := [monotonicity #64 #69]: #84 +#81 := (iff #41 #71) +#76 := (not #70) +#79 := (iff #76 #71) +#80 := [rewrite]: #79 +#77 := (iff #41 #76) +#74 := (iff #10 #70) +#75 := [rewrite]: #74 +#78 := [monotonicity #75]: #77 +#82 := [trans #78 #80]: #81 +#88 := [monotonicity #82 #85]: #87 +#93 := [trans #88 #91]: #92 +#96 := [monotonicity #93]: #95 +#48 := (iff #16 #47) +#45 := (iff #15 #42) +#38 := (implies #10 #35) +#43 := (iff #38 #42) +#44 := [rewrite]: #43 +#39 := (iff #15 #38) +#36 := (iff #14 #35) +#37 := [rewrite]: #36 +#40 := [monotonicity #37]: #39 +#46 := [trans #40 #44]: #45 +#49 := [monotonicity #46]: #48 +#98 := [trans #49 #96]: #97 +#33 := [asserted]: #16 +#99 := [mp #33 #98]: #94 +#102 := [not-or-elim #99]: #70 +#100 := [not-or-elim #99]: #51 +#101 := [not-or-elim #99]: #66 +[th-lemma #101 #100 #102]: false +unsat +8a69c429281dbce5e808c8ed794578e8f39d3940 69 0 +#2 := false +#44 := 0::real +decl f5 :: real +#11 := f5 +#42 := -1::real +#51 := (* -1::real f5) +decl f3 :: real +#8 := f3 +#62 := (+ f3 #51) +#63 := (<= #62 0::real) +#64 := (not #63) +decl f4 :: real +#9 := f4 +#52 := (+ f4 #51) +#50 := (>= #52 0::real) +#53 := (not #50) +#46 := (* -1::real f4) +#47 := (+ f3 #46) +#45 := (>= #47 0::real) +#43 := (not #45) +#56 := (and #43 #53) +#59 := (not #56) +#74 := (or #59 #63) +#77 := (not #74) +#14 := (< f5 f3) +#15 := (not #14) +#12 := (< f4 f5) +#10 := (< f3 f4) +#13 := (and #10 #12) +#16 := (implies #13 #15) +#17 := (not #16) +#80 := (iff #17 #77) +#35 := (not #13) +#36 := (or #35 #15) +#39 := (not #36) +#78 := (iff #39 #77) +#75 := (iff #36 #74) +#72 := (iff #15 #63) +#67 := (not #64) +#70 := (iff #67 #63) +#71 := [rewrite]: #70 +#68 := (iff #15 #67) +#65 := (iff #14 #64) +#66 := [rewrite]: #65 +#69 := [monotonicity #66]: #68 +#73 := [trans #69 #71]: #72 +#60 := (iff #35 #59) +#57 := (iff #13 #56) +#54 := (iff #12 #53) +#55 := [rewrite]: #54 +#48 := (iff #10 #43) +#49 := [rewrite]: #48 +#58 := [monotonicity #49 #55]: #57 +#61 := [monotonicity #58]: #60 +#76 := [monotonicity #61 #73]: #75 +#79 := [monotonicity #76]: #78 +#40 := (iff #17 #39) +#37 := (iff #16 #36) +#38 := [rewrite]: #37 +#41 := [monotonicity #38]: #40 +#81 := [trans #41 #79]: #80 +#34 := [asserted]: #17 +#82 := [mp #34 #81]: #77 +#86 := [not-or-elim #82]: #64 +#83 := [not-or-elim #82]: #56 +#84 := [and-elim #83]: #43 +#85 := [and-elim #83]: #53 +[th-lemma #85 #84 #86]: false +unsat +857d7ddf089457505996d95feeeae40661d0b2f9 43 0 +#2 := false +decl f5 :: (-> S2 S2 S3) +#15 := (:var 0 S2) +#14 := (:var 1 S2) +#16 := (f5 #14 #15) +#561 := (pattern #16) +decl f4 :: (-> S3 S2) +#17 := (f4 #16) +#47 := (= #14 #17) +#562 := (forall (vars (?v0 S2) (?v1 S2)) (:pat #561) #47) +#50 := (forall (vars (?v0 S2) (?v1 S2)) #47) +#565 := (iff #50 #562) +#563 := (iff #47 #47) +#564 := [refl]: #563 +#566 := [quant-intro #564]: #565 +#83 := (~ #50 #50) +#81 := (~ #47 #47) +#82 := [refl]: #81 +#84 := [nnf-pos #82]: #83 +#18 := (= #17 #14) +#19 := (forall (vars (?v0 S2) (?v1 S2)) #18) +#51 := (iff #19 #50) +#48 := (iff #18 #47) +#49 := [rewrite]: #48 +#52 := [quant-intro #49]: #51 +#46 := [asserted]: #19 +#55 := [mp #46 #52]: #50 +#73 := [mp~ #55 #84]: #50 +#567 := [mp #73 #566]: #562 +decl f6 :: S2 +#9 := f6 +decl f3 :: S2 +#8 := f3 +#10 := (f5 f3 f6) +#11 := (f4 #10) +#12 := (= f3 #11) +#13 := (not #12) +#45 := [asserted]: #13 +#144 := (not #562) +#231 := (or #144 #12) +#145 := [quant-inst]: #231 +[unit-resolution #145 #45 #567]: false +unsat +23637ccd7eefaf0528eb9dd850aad7beaa4e7354 43 0 +#2 := false +decl f5 :: (-> S2 S2 S3) +#15 := (:var 0 S2) +#14 := (:var 1 S2) +#16 := (f5 #14 #15) +#561 := (pattern #16) +decl f4 :: (-> S3 S2) +#20 := (f4 #16) +#54 := (= #15 #20) +#568 := (forall (vars (?v0 S2) (?v1 S2)) (:pat #561) #54) +#58 := (forall (vars (?v0 S2) (?v1 S2)) #54) +#571 := (iff #58 #568) +#569 := (iff #54 #54) +#570 := [refl]: #569 +#572 := [quant-intro #570]: #571 +#75 := (~ #58 #58) +#74 := (~ #54 #54) +#72 := [refl]: #74 +#76 := [nnf-pos #72]: #75 +#21 := (= #20 #15) +#22 := (forall (vars (?v0 S2) (?v1 S2)) #21) +#59 := (iff #22 #58) +#56 := (iff #21 #54) +#57 := [rewrite]: #56 +#60 := [quant-intro #57]: #59 +#53 := [asserted]: #22 +#63 := [mp #53 #60]: #58 +#69 := [mp~ #63 #76]: #58 +#573 := [mp #69 #572]: #568 +decl f3 :: S2 +#8 := f3 +decl f6 :: S2 +#9 := f6 +#10 := (f5 f6 f3) +#11 := (f4 #10) +#12 := (= f3 #11) +#13 := (not #12) +#45 := [asserted]: #13 +#234 := (not #568) +#235 := (or #234 #12) +#163 := [quant-inst]: #235 +[unit-resolution #163 #45 #573]: false +unsat +9a00f879e91964e9d6bb28cc5e490183e3742924 85 0 #2 := false decl f5 :: S2 #9 := f5 @@ -49522,88 +49840,7 @@ #206 := [unit-resolution #170 #205]: #239 [unit-resolution #206 #186]: false unsat -9f5fa7c760db14a67656e2a38b69825c2338f5ee 80 0 -#2 := false -#53 := 0::real -decl f4 :: real -#9 := f4 -#50 := -1::real -#66 := (* -1::real f4) -decl f3 :: real -#8 := f3 -#67 := (+ f3 #66) -#65 := (>= #67 0::real) -#64 := (not #65) -decl f5 :: real -#11 := f5 -#51 := (* -1::real f5) -#60 := (+ f3 #51) -#61 := (<= #60 0::real) -#52 := (+ f4 #51) -#54 := (<= #52 0::real) -#57 := (not #54) -#83 := (or #57 #61 #65) -#88 := (not #83) -#13 := (<= f3 f5) -#12 := (<= f4 f5) -#14 := (implies #12 #13) -#10 := (< f3 f4) -#15 := (implies #10 #14) -#16 := (not #15) -#91 := (iff #16 #88) -#34 := (not #12) -#35 := (or #34 #13) -#41 := (not #10) -#42 := (or #41 #35) -#47 := (not #42) -#89 := (iff #47 #88) -#86 := (iff #42 #83) -#77 := (or #57 #61) -#80 := (or #65 #77) -#84 := (iff #80 #83) -#85 := [rewrite]: #84 -#81 := (iff #42 #80) -#78 := (iff #35 #77) -#62 := (iff #13 #61) -#63 := [rewrite]: #62 -#58 := (iff #34 #57) -#55 := (iff #12 #54) -#56 := [rewrite]: #55 -#59 := [monotonicity #56]: #58 -#79 := [monotonicity #59 #63]: #78 -#75 := (iff #41 #65) -#70 := (not #64) -#73 := (iff #70 #65) -#74 := [rewrite]: #73 -#71 := (iff #41 #70) -#68 := (iff #10 #64) -#69 := [rewrite]: #68 -#72 := [monotonicity #69]: #71 -#76 := [trans #72 #74]: #75 -#82 := [monotonicity #76 #79]: #81 -#87 := [trans #82 #85]: #86 -#90 := [monotonicity #87]: #89 -#48 := (iff #16 #47) -#45 := (iff #15 #42) -#38 := (implies #10 #35) -#43 := (iff #38 #42) -#44 := [rewrite]: #43 -#39 := (iff #15 #38) -#36 := (iff #14 #35) -#37 := [rewrite]: #36 -#40 := [monotonicity #37]: #39 -#46 := [trans #40 #44]: #45 -#49 := [monotonicity #46]: #48 -#92 := [trans #49 #90]: #91 -#33 := [asserted]: #16 -#93 := [mp #33 #92]: #88 -#97 := [not-or-elim #93]: #64 -#95 := (not #61) -#96 := [not-or-elim #93]: #95 -#94 := [not-or-elim #93]: #54 -[th-lemma #94 #96 #97]: false -unsat -ab91d7002afe61891f92aa68c03a93dbeac150bb 155 0 +8760f419b4705bba51bf2708287a0ef4a7175b9e 155 0 #2 := false decl f7 :: S2 #12 := f7 @@ -49759,88 +49996,7 @@ #263 := [def-axiom]: #176 [unit-resolution #263 #289 #215 #569]: false unsat -ef54c95730a86f29e142ca8c0703d6c3a6105c5e 80 0 -#2 := false -#52 := 0::real -decl f4 :: real -#9 := f4 -#50 := -1::real -#69 := (* -1::real f4) -decl f3 :: real -#8 := f3 -#70 := (+ f3 #69) -#71 := (<= #70 0::real) -#74 := (not #71) -decl f5 :: real -#11 := f5 -#54 := (* -1::real f5) -#65 := (+ f3 #54) -#66 := (<= #65 0::real) -#55 := (+ f4 #54) -#53 := (>= #55 0::real) -#83 := (or #53 #66 #74) -#88 := (not #83) -#13 := (<= f3 f5) -#12 := (< f4 f5) -#14 := (implies #12 #13) -#10 := (<= f3 f4) -#15 := (implies #10 #14) -#16 := (not #15) -#91 := (iff #16 #88) -#34 := (not #12) -#35 := (or #34 #13) -#41 := (not #10) -#42 := (or #41 #35) -#47 := (not #42) -#89 := (iff #47 #88) -#86 := (iff #42 #83) -#77 := (or #53 #66) -#80 := (or #74 #77) -#84 := (iff #80 #83) -#85 := [rewrite]: #84 -#81 := (iff #42 #80) -#78 := (iff #35 #77) -#67 := (iff #13 #66) -#68 := [rewrite]: #67 -#63 := (iff #34 #53) -#51 := (not #53) -#58 := (not #51) -#61 := (iff #58 #53) -#62 := [rewrite]: #61 -#59 := (iff #34 #58) -#56 := (iff #12 #51) -#57 := [rewrite]: #56 -#60 := [monotonicity #57]: #59 -#64 := [trans #60 #62]: #63 -#79 := [monotonicity #64 #68]: #78 -#75 := (iff #41 #74) -#72 := (iff #10 #71) -#73 := [rewrite]: #72 -#76 := [monotonicity #73]: #75 -#82 := [monotonicity #76 #79]: #81 -#87 := [trans #82 #85]: #86 -#90 := [monotonicity #87]: #89 -#48 := (iff #16 #47) -#45 := (iff #15 #42) -#38 := (implies #10 #35) -#43 := (iff #38 #42) -#44 := [rewrite]: #43 -#39 := (iff #15 #38) -#36 := (iff #14 #35) -#37 := [rewrite]: #36 -#40 := [monotonicity #37]: #39 -#46 := [trans #40 #44]: #45 -#49 := [monotonicity #46]: #48 -#92 := [trans #49 #90]: #91 -#33 := [asserted]: #16 -#93 := [mp #33 #92]: #88 -#97 := [not-or-elim #93]: #71 -#94 := [not-or-elim #93]: #51 -#95 := (not #66) -#96 := [not-or-elim #93]: #95 -[th-lemma #96 #94 #97]: false -unsat -c53da5ad16e14d4123258f05451b97645b05e47b 91 0 +9b011b5f1ccfc0c5952d2a8ce428ee6a14bd5a78 91 0 #2 := false decl f9 :: S3 #14 := f9 @@ -49932,93 +50088,58 @@ #320 := [unit-resolution #230 #598]: #299 [unit-resolution #320 #321]: false unsat -0c5d7dbb8aa2814977e1a9556d08eabbc11dd00b 85 0 -#2 := false -#52 := 0::real -decl f4 :: real -#9 := f4 -#50 := -1::real -#72 := (* -1::real f4) -decl f3 :: real -#8 := f3 -#73 := (+ f3 #72) -#71 := (>= #73 0::real) -#70 := (not #71) -decl f5 :: real -#11 := f5 -#54 := (* -1::real f5) -#67 := (+ f3 #54) -#66 := (>= #67 0::real) -#65 := (not #66) -#55 := (+ f4 #54) -#53 := (>= #55 0::real) -#89 := (or #53 #65 #71) -#94 := (not #89) -#13 := (< f3 f5) -#12 := (< f4 f5) -#14 := (implies #12 #13) -#10 := (< f3 f4) -#15 := (implies #10 #14) -#16 := (not #15) -#97 := (iff #16 #94) -#34 := (not #12) -#35 := (or #34 #13) -#41 := (not #10) -#42 := (or #41 #35) -#47 := (not #42) -#95 := (iff #47 #94) -#92 := (iff #42 #89) -#83 := (or #53 #65) -#86 := (or #71 #83) -#90 := (iff #86 #89) -#91 := [rewrite]: #90 -#87 := (iff #42 #86) -#84 := (iff #35 #83) -#68 := (iff #13 #65) -#69 := [rewrite]: #68 -#63 := (iff #34 #53) -#51 := (not #53) -#58 := (not #51) -#61 := (iff #58 #53) -#62 := [rewrite]: #61 -#59 := (iff #34 #58) -#56 := (iff #12 #51) +15e3058b649be6d5463c784c16fd64eaa28f5f73 50 0 +#2 := false +decl f3 :: (-> S2 S3 S4 S3 S4) +#15 := (:var 1 S3) +#16 := (:var 0 S4) +#14 := (:var 2 S2) +#17 := (f3 #14 #15 #16 #15) +#571 := (pattern #17) +#54 := (= #16 #17) +#572 := (forall (vars (?v0 S2) (?v1 S3) (?v2 S4)) (:pat #571) #54) +#58 := (forall (vars (?v0 S2) (?v1 S3) (?v2 S4)) #54) +#575 := (iff #58 #572) +#573 := (iff #54 #54) +#574 := [refl]: #573 +#576 := [quant-intro #574]: #575 +#87 := (~ #58 #58) +#85 := (~ #54 #54) +#86 := [refl]: #85 +#88 := [nnf-pos #86]: #87 +#18 := (= #17 #16) +#19 := (forall (vars (?v0 S2) (?v1 S3) (?v2 S4)) #18) +#59 := (iff #19 #58) +#56 := (iff #18 #54) #57 := [rewrite]: #56 -#60 := [monotonicity #57]: #59 -#64 := [trans #60 #62]: #63 -#85 := [monotonicity #64 #69]: #84 -#81 := (iff #41 #71) -#76 := (not #70) -#79 := (iff #76 #71) -#80 := [rewrite]: #79 -#77 := (iff #41 #76) -#74 := (iff #10 #70) -#75 := [rewrite]: #74 -#78 := [monotonicity #75]: #77 -#82 := [trans #78 #80]: #81 -#88 := [monotonicity #82 #85]: #87 -#93 := [trans #88 #91]: #92 -#96 := [monotonicity #93]: #95 -#48 := (iff #16 #47) -#45 := (iff #15 #42) -#38 := (implies #10 #35) -#43 := (iff #38 #42) -#44 := [rewrite]: #43 -#39 := (iff #15 #38) -#36 := (iff #14 #35) -#37 := [rewrite]: #36 -#40 := [monotonicity #37]: #39 -#46 := [trans #40 #44]: #45 -#49 := [monotonicity #46]: #48 -#98 := [trans #49 #96]: #97 -#33 := [asserted]: #16 -#99 := [mp #33 #98]: #94 -#102 := [not-or-elim #99]: #70 -#100 := [not-or-elim #99]: #51 -#101 := [not-or-elim #99]: #66 -[th-lemma #101 #100 #102]: false -unsat -4d6ae030a899d6a058af8429edba2402745a216b 210 0 +#60 := [quant-intro #57]: #59 +#53 := [asserted]: #19 +#63 := [mp #53 #60]: #58 +#79 := [mp~ #63 #88]: #58 +#577 := [mp #79 #576]: #572 +decl f5 :: S3 +#9 := f5 +decl f6 :: S4 +#10 := f6 +decl f4 :: S2 +#8 := f4 +#11 := (f3 f4 f5 f6 f5) +#47 := (= f6 #11) +#50 := (not #47) +#12 := (= #11 f6) +#13 := (not #12) +#51 := (iff #13 #50) +#48 := (iff #12 #47) +#49 := [rewrite]: #48 +#52 := [monotonicity #49]: #51 +#46 := [asserted]: #13 +#55 := [mp #46 #52]: #50 +#154 := (not #572) +#241 := (or #154 #47) +#155 := [quant-inst]: #241 +[unit-resolution #155 #55 #577]: false +unsat +a158237dab9b8e1ca3aee50fa8555cfce1bec7cc 210 0 #2 := false decl f11 :: S5 #16 := f11 @@ -50229,77 +50350,93 @@ #321 := [def-axiom]: #234 [unit-resolution #321 #597 #608 #332]: false unsat -ad850a4d677f642c1e98f0e5f3b7d3f84b6c874a 69 0 -#2 := false -#44 := 0::real -decl f5 :: real -#11 := f5 -#42 := -1::real -#51 := (* -1::real f5) -decl f3 :: real -#8 := f3 -#62 := (+ f3 #51) -#63 := (<= #62 0::real) -#64 := (not #63) -decl f4 :: real -#9 := f4 -#52 := (+ f4 #51) -#50 := (>= #52 0::real) -#53 := (not #50) -#46 := (* -1::real f4) -#47 := (+ f3 #46) -#45 := (>= #47 0::real) -#43 := (not #45) -#56 := (and #43 #53) -#59 := (not #56) -#74 := (or #59 #63) -#77 := (not #74) -#14 := (< f5 f3) -#15 := (not #14) -#12 := (< f4 f5) -#10 := (< f3 f4) -#13 := (and #10 #12) -#16 := (implies #13 #15) -#17 := (not #16) -#80 := (iff #17 #77) -#35 := (not #13) -#36 := (or #35 #15) -#39 := (not #36) -#78 := (iff #39 #77) -#75 := (iff #36 #74) -#72 := (iff #15 #63) -#67 := (not #64) -#70 := (iff #67 #63) -#71 := [rewrite]: #70 -#68 := (iff #15 #67) -#65 := (iff #14 #64) -#66 := [rewrite]: #65 -#69 := [monotonicity #66]: #68 -#73 := [trans #69 #71]: #72 -#60 := (iff #35 #59) -#57 := (iff #13 #56) -#54 := (iff #12 #53) -#55 := [rewrite]: #54 -#48 := (iff #10 #43) -#49 := [rewrite]: #48 -#58 := [monotonicity #49 #55]: #57 -#61 := [monotonicity #58]: #60 -#76 := [monotonicity #61 #73]: #75 +9e71fbaeab4696b5dac5d3a07643d4cf5689f72a 85 0 +#2 := false +decl f8 :: (-> S3 S2 S4) +decl f4 :: S2 +#9 := f4 +decl f6 :: S3 +#12 := f6 +#15 := (f8 f6 f4) +decl f5 :: (-> S3 S2 S4 S2 S4) +decl f7 :: S4 +#13 := f7 +decl f3 :: S2 +#8 := f3 +#14 := (f5 f6 f3 f7 f4) +#16 := (= #14 #15) +#161 := (= f7 #14) +#10 := (= f3 f4) +#248 := (ite #10 #161 #16) +#252 := (not #248) +#59 := (not #16) +#52 := (or #10 #16) +#55 := (not #52) +#11 := (not #10) +#17 := (implies #11 #16) +#18 := (not #17) +#56 := (iff #18 #55) +#53 := (iff #17 #52) +#54 := [rewrite]: #53 +#57 := [monotonicity #54]: #56 +#51 := [asserted]: #18 +#60 := [mp #51 #57]: #55 +#61 := [not-or-elim #60]: #59 +#58 := [not-or-elim #60]: #11 +#254 := (or #252 #10 #16) +#251 := [def-axiom]: #254 +#162 := [unit-resolution #251 #58 #61]: #252 +#28 := (:var 0 S2) +#27 := (:var 1 S4) +#26 := (:var 2 S2) +#25 := (:var 3 S3) +#29 := (f5 #25 #26 #27 #28) +#586 := (pattern #29) +#31 := (f8 #25 #28) +#83 := (= #29 #31) +#86 := (= #27 #29) +#70 := (= #26 #28) +#93 := (ite #70 #86 #83) +#587 := (forall (vars (?v0 S3) (?v1 S2) (?v2 S4) (?v3 S2)) (:pat #586) #93) +#100 := (forall (vars (?v0 S3) (?v1 S2) (?v2 S4) (?v3 S2)) #93) +#590 := (iff #100 #587) +#588 := (iff #93 #93) +#589 := [refl]: #588 +#591 := [quant-intro #589]: #590 +#74 := (ite #70 #27 #31) +#77 := (= #29 #74) +#80 := (forall (vars (?v0 S3) (?v1 S2) (?v2 S4) (?v3 S2)) #77) +#101 := (iff #80 #100) +#94 := (iff #77 #93) +#99 := [rewrite]: #94 +#102 := [quant-intro #99]: #101 +#91 := (~ #80 #80) +#90 := (~ #77 #77) +#87 := [refl]: #90 +#92 := [nnf-pos #87]: #91 +#30 := (= #28 #26) +#32 := (ite #30 #27 #31) +#33 := (= #29 #32) +#34 := (forall (vars (?v0 S3) (?v1 S2) (?v2 S4) (?v3 S2)) #33) +#81 := (iff #34 #80) +#78 := (iff #33 #77) +#75 := (= #32 #74) +#72 := (iff #30 #70) +#73 := [rewrite]: #72 +#76 := [monotonicity #73]: #75 #79 := [monotonicity #76]: #78 -#40 := (iff #17 #39) -#37 := (iff #16 #36) -#38 := [rewrite]: #37 -#41 := [monotonicity #38]: #40 -#81 := [trans #41 #79]: #80 -#34 := [asserted]: #17 -#82 := [mp #34 #81]: #77 -#86 := [not-or-elim #82]: #64 -#83 := [not-or-elim #82]: #56 -#84 := [and-elim #83]: #43 -#85 := [and-elim #83]: #53 -[th-lemma #85 #84 #86]: false -unsat -003bb45597da3e4b1800d61bab0b4e1d95dbdf99 144 0 +#82 := [quant-intro #79]: #81 +#69 := [asserted]: #34 +#85 := [mp #69 #82]: #80 +#88 := [mp~ #85 #92]: #80 +#103 := [mp #88 #102]: #100 +#592 := [mp #103 #591]: #587 +#163 := (not #587) +#250 := (or #163 #248) +#241 := [quant-inst]: #250 +[unit-resolution #241 #592 #162]: false +unsat +acd9894f281a06eeaf416c1e8c82c6d84e7d6ad1 144 0 #2 := false decl f11 :: S3 #16 := f11 @@ -50444,393 +50581,7 @@ #432 := [unit-resolution #232 #431]: #301 [unit-resolution #432 #433]: false unsat -6cc8ed53fe294f253a561b590f79ef0e0271d1c2 50 0 -#2 := false -decl f3 :: (-> S2 S3 S4 S3 S4) -#15 := (:var 1 S3) -#16 := (:var 0 S4) -#14 := (:var 2 S2) -#17 := (f3 #14 #15 #16 #15) -#571 := (pattern #17) -#54 := (= #16 #17) -#572 := (forall (vars (?v0 S2) (?v1 S3) (?v2 S4)) (:pat #571) #54) -#58 := (forall (vars (?v0 S2) (?v1 S3) (?v2 S4)) #54) -#575 := (iff #58 #572) -#573 := (iff #54 #54) -#574 := [refl]: #573 -#576 := [quant-intro #574]: #575 -#87 := (~ #58 #58) -#85 := (~ #54 #54) -#86 := [refl]: #85 -#88 := [nnf-pos #86]: #87 -#18 := (= #17 #16) -#19 := (forall (vars (?v0 S2) (?v1 S3) (?v2 S4)) #18) -#59 := (iff #19 #58) -#56 := (iff #18 #54) -#57 := [rewrite]: #56 -#60 := [quant-intro #57]: #59 -#53 := [asserted]: #19 -#63 := [mp #53 #60]: #58 -#79 := [mp~ #63 #88]: #58 -#577 := [mp #79 #576]: #572 -decl f5 :: S3 -#9 := f5 -decl f6 :: S4 -#10 := f6 -decl f4 :: S2 -#8 := f4 -#11 := (f3 f4 f5 f6 f5) -#47 := (= f6 #11) -#50 := (not #47) -#12 := (= #11 f6) -#13 := (not #12) -#51 := (iff #13 #50) -#48 := (iff #12 #47) -#49 := [rewrite]: #48 -#52 := [monotonicity #49]: #51 -#46 := [asserted]: #13 -#55 := [mp #46 #52]: #50 -#154 := (not #572) -#241 := (or #154 #47) -#155 := [quant-inst]: #241 -[unit-resolution #155 #55 #577]: false -unsat -31b5dadcaa7e7a3e69848f4809b04b844a6e8b56 144 0 -#2 := false -decl f12 :: S3 -#17 := f12 -decl f9 :: S3 -#10 := f9 -#23 := (= f9 f12) -decl f3 :: (-> S2 S3) -decl f4 :: (-> S4 S2) -decl f5 :: (-> S5 S2 S4) -decl f7 :: (-> S5 S3 S2) -decl f11 :: S5 -#16 := f11 -#18 := (f7 f11 f12) -decl f10 :: S5 -#15 := f10 -#19 := (f5 f10 #18) -#20 := (f4 #19) -#21 := (f3 #20) -decl f8 :: S5 -#9 := f8 -#11 := (f7 f8 f9) -decl f6 :: S5 -#8 := f6 -#12 := (f5 f6 #11) -#13 := (f4 #12) -#14 := (f3 #13) -#22 := (= #14 #21) -#24 := (iff #22 #23) -#315 := (= #21 f12) -#626 := (f3 #18) -#312 := (= #626 f12) -#627 := (= f12 #626) -#27 := (:var 0 S3) -#26 := (:var 1 S5) -#28 := (f7 #26 #27) -#630 := (pattern #28) -#37 := (f3 #28) -#92 := (= #27 #37) -#644 := (forall (vars (?v0 S5) (?v1 S3)) (:pat #630) #92) -#96 := (forall (vars (?v0 S5) (?v1 S3)) #92) -#647 := (iff #96 #644) -#645 := (iff #92 #92) -#646 := [refl]: #645 -#648 := [quant-intro #646]: #647 -#131 := (~ #96 #96) -#145 := (~ #92 #92) -#146 := [refl]: #145 -#132 := [nnf-pos #146]: #131 -#38 := (= #37 #27) -#39 := (forall (vars (?v0 S5) (?v1 S3)) #38) -#97 := (iff #39 #96) -#94 := (iff #38 #92) -#95 := [rewrite]: #94 -#98 := [quant-intro #95]: #97 -#91 := [asserted]: #39 -#101 := [mp #91 #98]: #96 -#147 := [mp~ #101 #132]: #96 -#649 := [mp #147 #648]: #644 -#290 := (not #644) -#277 := (or #290 #627) -#282 := [quant-inst]: #277 -#323 := [unit-resolution #282 #649]: #627 -#313 := [symm #323]: #312 -#602 := (= #21 #626) -#601 := (= #20 #18) -#607 := (= #18 #20) -#32 := (:var 0 S2) -#33 := (f5 #26 #32) -#637 := (pattern #33) -#40 := (f4 #33) -#100 := (= #32 #40) -#650 := (forall (vars (?v0 S5) (?v1 S2)) (:pat #637) #100) -#104 := (forall (vars (?v0 S5) (?v1 S2)) #100) -#653 := (iff #104 #650) -#651 := (iff #100 #100) -#652 := [refl]: #651 -#654 := [quant-intro #652]: #653 -#133 := (~ #104 #104) -#148 := (~ #100 #100) -#149 := [refl]: #148 -#134 := [nnf-pos #149]: #133 -#41 := (= #40 #32) -#42 := (forall (vars (?v0 S5) (?v1 S2)) #41) -#105 := (iff #42 #104) -#102 := (iff #41 #100) -#103 := [rewrite]: #102 -#106 := [quant-intro #103]: #105 -#99 := [asserted]: #42 -#109 := [mp #99 #106]: #104 -#150 := [mp~ #109 #134]: #104 -#655 := [mp #150 #654]: #650 -#267 := (not #650) -#606 := (or #267 #607) -#612 := [quant-inst]: #606 -#597 := [unit-resolution #612 #655]: #607 -#598 := [symm #597]: #601 -#311 := [monotonicity #598]: #602 -#593 := [trans #311 #313]: #315 -#587 := (= #14 f9) -#306 := (f3 #11) -#585 := (= #306 f9) -#285 := (= f9 #306) -#291 := (or #290 #285) -#625 := [quant-inst]: #291 -#594 := [unit-resolution #625 #649]: #285 -#586 := [symm #594]: #585 -#592 := (= #14 #306) -#591 := (= #13 #11) -#620 := (= #11 #13) -#268 := (or #267 #620) -#269 := [quant-inst]: #268 -#307 := [unit-resolution #269 #655]: #620 -#595 := [symm #307]: #591 -#596 := [monotonicity #595]: #592 -#582 := [trans #596 #586]: #587 -#583 := [monotonicity #582 #593]: #24 -#301 := (not #23) -#71 := (not #22) -#588 := (iff #71 #301) -#589 := [monotonicity #583]: #588 -#220 := [hypothesis]: #71 -#584 := [mp #220 #589]: #301 -#300 := (or #23 #22) -#72 := (iff #23 #71) -#25 := (not #24) -#73 := (iff #25 #72) -#74 := [rewrite]: #73 -#70 := [asserted]: #25 -#77 := [mp #70 #74]: #72 -#212 := (not #72) -#299 := (or #23 #22 #212) -#213 := [def-axiom]: #299 -#214 := [unit-resolution #213 #77]: #300 -#599 := [unit-resolution #214 #220]: #23 -#590 := [unit-resolution #599 #584]: false -#431 := [lemma #590]: #22 -#433 := [mp #431 #583]: #23 -#304 := (or #301 #71) -#292 := (or #301 #71 #212) -#303 := [def-axiom]: #292 -#232 := [unit-resolution #303 #77]: #304 -#432 := [unit-resolution #232 #431]: #301 -[unit-resolution #432 #433]: false -unsat -d2a264ef3e43d9b7d009fa11ec172212f0bd6279 85 0 -#2 := false -decl f8 :: (-> S3 S2 S4) -decl f4 :: S2 -#9 := f4 -decl f6 :: S3 -#12 := f6 -#15 := (f8 f6 f4) -decl f5 :: (-> S3 S2 S4 S2 S4) -decl f7 :: S4 -#13 := f7 -decl f3 :: S2 -#8 := f3 -#14 := (f5 f6 f3 f7 f4) -#16 := (= #14 #15) -#161 := (= f7 #14) -#10 := (= f3 f4) -#248 := (ite #10 #161 #16) -#252 := (not #248) -#59 := (not #16) -#52 := (or #10 #16) -#55 := (not #52) -#11 := (not #10) -#17 := (implies #11 #16) -#18 := (not #17) -#56 := (iff #18 #55) -#53 := (iff #17 #52) -#54 := [rewrite]: #53 -#57 := [monotonicity #54]: #56 -#51 := [asserted]: #18 -#60 := [mp #51 #57]: #55 -#61 := [not-or-elim #60]: #59 -#58 := [not-or-elim #60]: #11 -#254 := (or #252 #10 #16) -#251 := [def-axiom]: #254 -#162 := [unit-resolution #251 #58 #61]: #252 -#28 := (:var 0 S2) -#27 := (:var 1 S4) -#26 := (:var 2 S2) -#25 := (:var 3 S3) -#29 := (f5 #25 #26 #27 #28) -#586 := (pattern #29) -#31 := (f8 #25 #28) -#83 := (= #29 #31) -#86 := (= #27 #29) -#70 := (= #26 #28) -#93 := (ite #70 #86 #83) -#587 := (forall (vars (?v0 S3) (?v1 S2) (?v2 S4) (?v3 S2)) (:pat #586) #93) -#100 := (forall (vars (?v0 S3) (?v1 S2) (?v2 S4) (?v3 S2)) #93) -#590 := (iff #100 #587) -#588 := (iff #93 #93) -#589 := [refl]: #588 -#591 := [quant-intro #589]: #590 -#74 := (ite #70 #27 #31) -#77 := (= #29 #74) -#80 := (forall (vars (?v0 S3) (?v1 S2) (?v2 S4) (?v3 S2)) #77) -#101 := (iff #80 #100) -#94 := (iff #77 #93) -#99 := [rewrite]: #94 -#102 := [quant-intro #99]: #101 -#91 := (~ #80 #80) -#90 := (~ #77 #77) -#87 := [refl]: #90 -#92 := [nnf-pos #87]: #91 -#30 := (= #28 #26) -#32 := (ite #30 #27 #31) -#33 := (= #29 #32) -#34 := (forall (vars (?v0 S3) (?v1 S2) (?v2 S4) (?v3 S2)) #33) -#81 := (iff #34 #80) -#78 := (iff #33 #77) -#75 := (= #32 #74) -#72 := (iff #30 #70) -#73 := [rewrite]: #72 -#76 := [monotonicity #73]: #75 -#79 := [monotonicity #76]: #78 -#82 := [quant-intro #79]: #81 -#69 := [asserted]: #34 -#85 := [mp #69 #82]: #80 -#88 := [mp~ #85 #92]: #80 -#103 := [mp #88 #102]: #100 -#592 := [mp #103 #591]: #587 -#163 := (not #587) -#250 := (or #163 #248) -#241 := [quant-inst]: #250 -[unit-resolution #241 #592 #162]: false -unsat -87752431ac232f724f4719a9dd746411dc8e0334 103 0 -#2 := false -decl f6 :: S3 -#9 := f6 -decl f5 :: S3 -#8 := f5 -#14 := (= f5 f6) -decl f7 :: (-> S2 S3) -decl f4 :: (-> S3 S3 S2) -#10 := (f4 f5 f6) -#12 := (f7 #10) -decl f3 :: (-> S2 S3) -#11 := (f3 #10) -#13 := (= #11 #12) -#15 := (iff #13 #14) -#558 := (iff #14 #13) -#241 := (= f6 #12) -#18 := (:var 0 S3) -#17 := (:var 1 S3) -#19 := (f4 #17 #18) -#569 := (pattern #19) -#23 := (f7 #19) -#62 := (= #18 #23) -#576 := (forall (vars (?v0 S3) (?v1 S3)) (:pat #569) #62) -#66 := (forall (vars (?v0 S3) (?v1 S3)) #62) -#579 := (iff #66 #576) -#577 := (iff #62 #62) -#578 := [refl]: #577 -#580 := [quant-intro #578]: #579 -#83 := (~ #66 #66) -#82 := (~ #62 #62) -#80 := [refl]: #82 -#84 := [nnf-pos #80]: #83 -#24 := (= #23 #18) -#25 := (forall (vars (?v0 S3) (?v1 S3)) #24) -#67 := (iff #25 #66) -#64 := (iff #24 #62) -#65 := [rewrite]: #64 -#68 := [quant-intro #65]: #67 -#61 := [asserted]: #25 -#71 := [mp #61 #68]: #66 -#77 := [mp~ #71 #84]: #66 -#581 := [mp #77 #580]: #576 -#350 := (not #576) -#557 := (or #350 #241) -#229 := [quant-inst]: #557 -#562 := [unit-resolution #229 #581]: #241 -#244 := (= f5 #11) -#20 := (f3 #19) -#54 := (= #17 #20) -#570 := (forall (vars (?v0 S3) (?v1 S3)) (:pat #569) #54) -#58 := (forall (vars (?v0 S3) (?v1 S3)) #54) -#573 := (iff #58 #570) -#571 := (iff #54 #54) -#572 := [refl]: #571 -#574 := [quant-intro #572]: #573 -#91 := (~ #58 #58) -#89 := (~ #54 #54) -#90 := [refl]: #89 -#92 := [nnf-pos #90]: #91 -#21 := (= #20 #17) -#22 := (forall (vars (?v0 S3) (?v1 S3)) #21) -#59 := (iff #22 #58) -#56 := (iff #21 #54) -#57 := [rewrite]: #56 -#60 := [quant-intro #57]: #59 -#53 := [asserted]: #22 -#63 := [mp #53 #60]: #58 -#81 := [mp~ #63 #92]: #58 -#575 := [mp #81 #574]: #570 -#224 := (not #570) -#561 := (or #224 #244) -#563 := [quant-inst]: #561 -#568 := [unit-resolution #563 #575]: #244 -#216 := [monotonicity #568 #562]: #558 -#221 := [symm #216]: #15 -#240 := (not #14) -#49 := (not #13) -#559 := (iff #49 #240) -#217 := [monotonicity #221]: #559 -#230 := [hypothesis]: #49 -#560 := [mp #230 #217]: #240 -#239 := (or #14 #13) -#50 := (iff #14 #49) -#16 := (not #15) -#51 := (iff #16 #50) -#52 := [rewrite]: #51 -#48 := [asserted]: #16 -#55 := [mp #48 #52]: #50 -#151 := (not #50) -#238 := (or #14 #13 #151) -#152 := [def-axiom]: #238 -#153 := [unit-resolution #152 #55]: #239 -#564 := [unit-resolution #153 #230]: #14 -#201 := [unit-resolution #564 #560]: false -#544 := [lemma #201]: #13 -#206 := [mp #544 #221]: #14 -#243 := (or #240 #49) -#231 := (or #240 #49 #151) -#242 := [def-axiom]: #231 -#171 := [unit-resolution #242 #55]: #243 -#205 := [unit-resolution #171 #544]: #240 -[unit-resolution #205 #206]: false -unsat -13cd2a6082f8fe0947641619628aa7b793fa5eb0 158 0 +417188282427933be953d50eedb6f8d3636fdcb9 158 0 #2 := false decl f5 :: (-> S3 S2 S4) decl f3 :: S2 @@ -50989,7 +50740,411 @@ #73 := [not-or-elim #72]: #71 [unit-resolution #73 #578]: false unsat -de0be68d62a4eef58cc08ca9b43494f9219ad474 111 0 +866d440edf643384cbf5eede7548231cbd17d588 144 0 +#2 := false +decl f12 :: S3 +#17 := f12 +decl f9 :: S3 +#10 := f9 +#23 := (= f9 f12) +decl f3 :: (-> S2 S3) +decl f4 :: (-> S4 S2) +decl f5 :: (-> S5 S2 S4) +decl f7 :: (-> S5 S3 S2) +decl f11 :: S5 +#16 := f11 +#18 := (f7 f11 f12) +decl f10 :: S5 +#15 := f10 +#19 := (f5 f10 #18) +#20 := (f4 #19) +#21 := (f3 #20) +decl f8 :: S5 +#9 := f8 +#11 := (f7 f8 f9) +decl f6 :: S5 +#8 := f6 +#12 := (f5 f6 #11) +#13 := (f4 #12) +#14 := (f3 #13) +#22 := (= #14 #21) +#24 := (iff #22 #23) +#315 := (= #21 f12) +#626 := (f3 #18) +#312 := (= #626 f12) +#627 := (= f12 #626) +#27 := (:var 0 S3) +#26 := (:var 1 S5) +#28 := (f7 #26 #27) +#630 := (pattern #28) +#37 := (f3 #28) +#92 := (= #27 #37) +#644 := (forall (vars (?v0 S5) (?v1 S3)) (:pat #630) #92) +#96 := (forall (vars (?v0 S5) (?v1 S3)) #92) +#647 := (iff #96 #644) +#645 := (iff #92 #92) +#646 := [refl]: #645 +#648 := [quant-intro #646]: #647 +#131 := (~ #96 #96) +#145 := (~ #92 #92) +#146 := [refl]: #145 +#132 := [nnf-pos #146]: #131 +#38 := (= #37 #27) +#39 := (forall (vars (?v0 S5) (?v1 S3)) #38) +#97 := (iff #39 #96) +#94 := (iff #38 #92) +#95 := [rewrite]: #94 +#98 := [quant-intro #95]: #97 +#91 := [asserted]: #39 +#101 := [mp #91 #98]: #96 +#147 := [mp~ #101 #132]: #96 +#649 := [mp #147 #648]: #644 +#290 := (not #644) +#277 := (or #290 #627) +#282 := [quant-inst]: #277 +#323 := [unit-resolution #282 #649]: #627 +#313 := [symm #323]: #312 +#602 := (= #21 #626) +#601 := (= #20 #18) +#607 := (= #18 #20) +#32 := (:var 0 S2) +#33 := (f5 #26 #32) +#637 := (pattern #33) +#40 := (f4 #33) +#100 := (= #32 #40) +#650 := (forall (vars (?v0 S5) (?v1 S2)) (:pat #637) #100) +#104 := (forall (vars (?v0 S5) (?v1 S2)) #100) +#653 := (iff #104 #650) +#651 := (iff #100 #100) +#652 := [refl]: #651 +#654 := [quant-intro #652]: #653 +#133 := (~ #104 #104) +#148 := (~ #100 #100) +#149 := [refl]: #148 +#134 := [nnf-pos #149]: #133 +#41 := (= #40 #32) +#42 := (forall (vars (?v0 S5) (?v1 S2)) #41) +#105 := (iff #42 #104) +#102 := (iff #41 #100) +#103 := [rewrite]: #102 +#106 := [quant-intro #103]: #105 +#99 := [asserted]: #42 +#109 := [mp #99 #106]: #104 +#150 := [mp~ #109 #134]: #104 +#655 := [mp #150 #654]: #650 +#267 := (not #650) +#606 := (or #267 #607) +#612 := [quant-inst]: #606 +#597 := [unit-resolution #612 #655]: #607 +#598 := [symm #597]: #601 +#311 := [monotonicity #598]: #602 +#593 := [trans #311 #313]: #315 +#587 := (= #14 f9) +#306 := (f3 #11) +#585 := (= #306 f9) +#285 := (= f9 #306) +#291 := (or #290 #285) +#625 := [quant-inst]: #291 +#594 := [unit-resolution #625 #649]: #285 +#586 := [symm #594]: #585 +#592 := (= #14 #306) +#591 := (= #13 #11) +#620 := (= #11 #13) +#268 := (or #267 #620) +#269 := [quant-inst]: #268 +#307 := [unit-resolution #269 #655]: #620 +#595 := [symm #307]: #591 +#596 := [monotonicity #595]: #592 +#582 := [trans #596 #586]: #587 +#583 := [monotonicity #582 #593]: #24 +#301 := (not #23) +#71 := (not #22) +#588 := (iff #71 #301) +#589 := [monotonicity #583]: #588 +#220 := [hypothesis]: #71 +#584 := [mp #220 #589]: #301 +#300 := (or #23 #22) +#72 := (iff #23 #71) +#25 := (not #24) +#73 := (iff #25 #72) +#74 := [rewrite]: #73 +#70 := [asserted]: #25 +#77 := [mp #70 #74]: #72 +#212 := (not #72) +#299 := (or #23 #22 #212) +#213 := [def-axiom]: #299 +#214 := [unit-resolution #213 #77]: #300 +#599 := [unit-resolution #214 #220]: #23 +#590 := [unit-resolution #599 #584]: false +#431 := [lemma #590]: #22 +#433 := [mp #431 #583]: #23 +#304 := (or #301 #71) +#292 := (or #301 #71 #212) +#303 := [def-axiom]: #292 +#232 := [unit-resolution #303 #77]: #304 +#432 := [unit-resolution #232 #431]: #301 +[unit-resolution #432 #433]: false +unsat +3e56e54d471720a3a5d996ce27f17fcb7694aeb0 72 0 +#2 := false +decl f6 :: (-> S3 S2 S4 S3) +#23 := (:var 0 S4) +#22 := (:var 1 S2) +#21 := (:var 2 S3) +#24 := (f6 #21 #22 #23) +#591 := (pattern #24) +decl f5 :: (-> S3 S2 S4) +#25 := (f5 #24 #22) +#75 := (= #23 #25) +#593 := (forall (vars (?v0 S3) (?v1 S2) (?v2 S4)) (:pat #591) #75) +#78 := (forall (vars (?v0 S3) (?v1 S2) (?v2 S4)) #75) +#592 := (iff #78 #593) +#595 := (iff #593 #593) +#596 := [rewrite]: #595 +#594 := [rewrite]: #592 +#597 := [trans #594 #596]: #592 +#109 := (~ #78 #78) +#107 := (~ #75 #75) +#108 := [refl]: #107 +#110 := [nnf-pos #108]: #109 +#26 := (= #25 #23) +#27 := (forall (vars (?v0 S3) (?v1 S2) (?v2 S4)) #26) +#79 := (iff #27 #78) +#76 := (iff #26 #75) +#77 := [rewrite]: #76 +#80 := [quant-intro #77]: #79 +#74 := [asserted]: #27 +#83 := [mp #74 #80]: #78 +#101 := [mp~ #83 #110]: #78 +#598 := [mp #101 #597]: #593 +decl f4 :: S2 +#9 := f4 +decl f9 :: S4 +#15 := f9 +decl f8 :: S4 +#13 := f8 +decl f3 :: S2 +#8 := f3 +decl f7 :: S3 +#12 := f7 +#14 := (f6 f7 f3 f8) +#16 := (f6 #14 f4 f9) +#17 := (f5 #16 f4) +#56 := (= f9 #17) +#71 := (not #56) +#10 := (= f3 f4) +#62 := (or #10 #56) +#67 := (not #62) +#18 := (= #17 f9) +#11 := (not #10) +#19 := (implies #11 #18) +#20 := (not #19) +#68 := (iff #20 #67) +#65 := (iff #19 #62) +#59 := (implies #11 #56) +#63 := (iff #59 #62) +#64 := [rewrite]: #63 +#60 := (iff #19 #59) +#57 := (iff #18 #56) +#58 := [rewrite]: #57 +#61 := [monotonicity #58]: #60 +#66 := [trans #61 #64]: #65 +#69 := [monotonicity #66]: #68 +#55 := [asserted]: #20 +#72 := [mp #55 #69]: #67 +#73 := [not-or-elim #72]: #71 +#175 := (not #593) +#264 := (or #175 #56) +#265 := [quant-inst]: #264 +[unit-resolution #265 #73 #598]: false +unsat +2ecc5cb618eddd0d10a797b2211747ef8a2776e2 103 0 +#2 := false +decl f6 :: S3 +#9 := f6 +decl f5 :: S3 +#8 := f5 +#14 := (= f5 f6) +decl f7 :: (-> S2 S3) +decl f4 :: (-> S3 S3 S2) +#10 := (f4 f5 f6) +#12 := (f7 #10) +decl f3 :: (-> S2 S3) +#11 := (f3 #10) +#13 := (= #11 #12) +#15 := (iff #13 #14) +#558 := (iff #14 #13) +#241 := (= f6 #12) +#18 := (:var 0 S3) +#17 := (:var 1 S3) +#19 := (f4 #17 #18) +#569 := (pattern #19) +#23 := (f7 #19) +#62 := (= #18 #23) +#576 := (forall (vars (?v0 S3) (?v1 S3)) (:pat #569) #62) +#66 := (forall (vars (?v0 S3) (?v1 S3)) #62) +#579 := (iff #66 #576) +#577 := (iff #62 #62) +#578 := [refl]: #577 +#580 := [quant-intro #578]: #579 +#83 := (~ #66 #66) +#82 := (~ #62 #62) +#80 := [refl]: #82 +#84 := [nnf-pos #80]: #83 +#24 := (= #23 #18) +#25 := (forall (vars (?v0 S3) (?v1 S3)) #24) +#67 := (iff #25 #66) +#64 := (iff #24 #62) +#65 := [rewrite]: #64 +#68 := [quant-intro #65]: #67 +#61 := [asserted]: #25 +#71 := [mp #61 #68]: #66 +#77 := [mp~ #71 #84]: #66 +#581 := [mp #77 #580]: #576 +#350 := (not #576) +#557 := (or #350 #241) +#229 := [quant-inst]: #557 +#562 := [unit-resolution #229 #581]: #241 +#244 := (= f5 #11) +#20 := (f3 #19) +#54 := (= #17 #20) +#570 := (forall (vars (?v0 S3) (?v1 S3)) (:pat #569) #54) +#58 := (forall (vars (?v0 S3) (?v1 S3)) #54) +#573 := (iff #58 #570) +#571 := (iff #54 #54) +#572 := [refl]: #571 +#574 := [quant-intro #572]: #573 +#91 := (~ #58 #58) +#89 := (~ #54 #54) +#90 := [refl]: #89 +#92 := [nnf-pos #90]: #91 +#21 := (= #20 #17) +#22 := (forall (vars (?v0 S3) (?v1 S3)) #21) +#59 := (iff #22 #58) +#56 := (iff #21 #54) +#57 := [rewrite]: #56 +#60 := [quant-intro #57]: #59 +#53 := [asserted]: #22 +#63 := [mp #53 #60]: #58 +#81 := [mp~ #63 #92]: #58 +#575 := [mp #81 #574]: #570 +#224 := (not #570) +#561 := (or #224 #244) +#563 := [quant-inst]: #561 +#568 := [unit-resolution #563 #575]: #244 +#216 := [monotonicity #568 #562]: #558 +#221 := [symm #216]: #15 +#240 := (not #14) +#49 := (not #13) +#559 := (iff #49 #240) +#217 := [monotonicity #221]: #559 +#230 := [hypothesis]: #49 +#560 := [mp #230 #217]: #240 +#239 := (or #14 #13) +#50 := (iff #14 #49) +#16 := (not #15) +#51 := (iff #16 #50) +#52 := [rewrite]: #51 +#48 := [asserted]: #16 +#55 := [mp #48 #52]: #50 +#151 := (not #50) +#238 := (or #14 #13 #151) +#152 := [def-axiom]: #238 +#153 := [unit-resolution #152 #55]: #239 +#564 := [unit-resolution #153 #230]: #14 +#201 := [unit-resolution #564 #560]: false +#544 := [lemma #201]: #13 +#206 := [mp #544 #221]: #14 +#243 := (or #240 #49) +#231 := (or #240 #49 #151) +#242 := [def-axiom]: #231 +#171 := [unit-resolution #242 #55]: #243 +#205 := [unit-resolution #171 #544]: #240 +[unit-resolution #205 #206]: false +unsat +40581b0e6cc161d835ae1db56e86336b57a7ee1b 81 0 +#2 := false +decl f5 :: (-> S3 S2 S4) +decl f3 :: S2 +#8 := f3 +decl f6 :: (-> S3 S2 S4 S3) +decl f9 :: S4 +#14 := f9 +decl f4 :: S2 +#9 := f4 +decl f8 :: S4 +#12 := f8 +decl f7 :: S3 +#11 := f7 +#13 := (f6 f7 f3 f8) +#15 := (f6 #13 f4 f9) +#16 := (f5 #15 f3) +#55 := (= f9 #16) +#261 := (f5 #15 f4) +#228 := (= #261 #16) +#566 := (= #16 #261) +#10 := (= f3 f4) +#61 := (not #10) +#62 := (or #61 #55) +#67 := (not #62) +#17 := (= #16 f9) +#18 := (implies #10 #17) +#19 := (not #18) +#68 := (iff #19 #67) +#65 := (iff #18 #62) +#58 := (implies #10 #55) +#63 := (iff #58 #62) +#64 := [rewrite]: #63 +#59 := (iff #18 #58) +#56 := (iff #17 #55) +#57 := [rewrite]: #56 +#60 := [monotonicity #57]: #59 +#66 := [trans #60 #64]: #65 +#69 := [monotonicity #66]: #68 +#54 := [asserted]: #19 +#72 := [mp #54 #69]: #67 +#70 := [not-or-elim #72]: #10 +#227 := [monotonicity #70]: #566 +#229 := [symm #227]: #228 +#175 := (= f9 #261) +#22 := (:var 0 S4) +#21 := (:var 1 S2) +#20 := (:var 2 S3) +#23 := (f6 #20 #21 #22) +#591 := (pattern #23) +#24 := (f5 #23 #21) +#75 := (= #22 #24) +#593 := (forall (vars (?v0 S3) (?v1 S2) (?v2 S4)) (:pat #591) #75) +#78 := (forall (vars (?v0 S3) (?v1 S2) (?v2 S4)) #75) +#592 := (iff #78 #593) +#595 := (iff #593 #593) +#596 := [rewrite]: #595 +#594 := [rewrite]: #592 +#597 := [trans #594 #596]: #592 +#109 := (~ #78 #78) +#107 := (~ #75 #75) +#108 := [refl]: #107 +#110 := [nnf-pos #108]: #109 +#25 := (= #24 #22) +#26 := (forall (vars (?v0 S3) (?v1 S2) (?v2 S4)) #25) +#79 := (iff #26 #78) +#76 := (iff #25 #75) +#77 := [rewrite]: #76 +#80 := [quant-intro #77]: #79 +#74 := [asserted]: #26 +#83 := [mp #74 #80]: #78 +#101 := [mp~ #83 #110]: #78 +#598 := [mp #101 #597]: #593 +#262 := (not #593) +#266 := (or #262 #175) +#263 := [quant-inst]: #266 +#223 := [unit-resolution #263 #598]: #175 +#230 := [trans #223 #229]: #55 +#71 := (not #55) +#73 := [not-or-elim #72]: #71 +[unit-resolution #73 #230]: false +unsat +7886f0fda259625a913921a1bd89d90840edec3d 111 0 #2 := false decl f9 :: (-> S2 S3) decl f7 :: S2 @@ -51101,280 +51256,7 @@ #66 := [not-or-elim #63]: #65 [unit-resolution #66 #563]: false unsat -c3052f64b6a04dd1c8c5afaf04fa56dc411bc19c 72 0 -#2 := false -decl f6 :: (-> S3 S2 S4 S3) -#23 := (:var 0 S4) -#22 := (:var 1 S2) -#21 := (:var 2 S3) -#24 := (f6 #21 #22 #23) -#591 := (pattern #24) -decl f5 :: (-> S3 S2 S4) -#25 := (f5 #24 #22) -#75 := (= #23 #25) -#593 := (forall (vars (?v0 S3) (?v1 S2) (?v2 S4)) (:pat #591) #75) -#78 := (forall (vars (?v0 S3) (?v1 S2) (?v2 S4)) #75) -#592 := (iff #78 #593) -#595 := (iff #593 #593) -#596 := [rewrite]: #595 -#594 := [rewrite]: #592 -#597 := [trans #594 #596]: #592 -#109 := (~ #78 #78) -#107 := (~ #75 #75) -#108 := [refl]: #107 -#110 := [nnf-pos #108]: #109 -#26 := (= #25 #23) -#27 := (forall (vars (?v0 S3) (?v1 S2) (?v2 S4)) #26) -#79 := (iff #27 #78) -#76 := (iff #26 #75) -#77 := [rewrite]: #76 -#80 := [quant-intro #77]: #79 -#74 := [asserted]: #27 -#83 := [mp #74 #80]: #78 -#101 := [mp~ #83 #110]: #78 -#598 := [mp #101 #597]: #593 -decl f4 :: S2 -#9 := f4 -decl f9 :: S4 -#15 := f9 -decl f8 :: S4 -#13 := f8 -decl f3 :: S2 -#8 := f3 -decl f7 :: S3 -#12 := f7 -#14 := (f6 f7 f3 f8) -#16 := (f6 #14 f4 f9) -#17 := (f5 #16 f4) -#56 := (= f9 #17) -#71 := (not #56) -#10 := (= f3 f4) -#62 := (or #10 #56) -#67 := (not #62) -#18 := (= #17 f9) -#11 := (not #10) -#19 := (implies #11 #18) -#20 := (not #19) -#68 := (iff #20 #67) -#65 := (iff #19 #62) -#59 := (implies #11 #56) -#63 := (iff #59 #62) -#64 := [rewrite]: #63 -#60 := (iff #19 #59) -#57 := (iff #18 #56) -#58 := [rewrite]: #57 -#61 := [monotonicity #58]: #60 -#66 := [trans #61 #64]: #65 -#69 := [monotonicity #66]: #68 -#55 := [asserted]: #20 -#72 := [mp #55 #69]: #67 -#73 := [not-or-elim #72]: #71 -#175 := (not #593) -#264 := (or #175 #56) -#265 := [quant-inst]: #264 -[unit-resolution #265 #73 #598]: false -unsat -2dd7e2139c57ac13e3558d5a7c2ee7d6b5a8a254 81 0 -#2 := false -decl f5 :: (-> S3 S2 S4) -decl f3 :: S2 -#8 := f3 -decl f6 :: (-> S3 S2 S4 S3) -decl f9 :: S4 -#14 := f9 -decl f4 :: S2 -#9 := f4 -decl f8 :: S4 -#12 := f8 -decl f7 :: S3 -#11 := f7 -#13 := (f6 f7 f3 f8) -#15 := (f6 #13 f4 f9) -#16 := (f5 #15 f3) -#55 := (= f9 #16) -#261 := (f5 #15 f4) -#228 := (= #261 #16) -#566 := (= #16 #261) -#10 := (= f3 f4) -#61 := (not #10) -#62 := (or #61 #55) -#67 := (not #62) -#17 := (= #16 f9) -#18 := (implies #10 #17) -#19 := (not #18) -#68 := (iff #19 #67) -#65 := (iff #18 #62) -#58 := (implies #10 #55) -#63 := (iff #58 #62) -#64 := [rewrite]: #63 -#59 := (iff #18 #58) -#56 := (iff #17 #55) -#57 := [rewrite]: #56 -#60 := [monotonicity #57]: #59 -#66 := [trans #60 #64]: #65 -#69 := [monotonicity #66]: #68 -#54 := [asserted]: #19 -#72 := [mp #54 #69]: #67 -#70 := [not-or-elim #72]: #10 -#227 := [monotonicity #70]: #566 -#229 := [symm #227]: #228 -#175 := (= f9 #261) -#22 := (:var 0 S4) -#21 := (:var 1 S2) -#20 := (:var 2 S3) -#23 := (f6 #20 #21 #22) -#591 := (pattern #23) -#24 := (f5 #23 #21) -#75 := (= #22 #24) -#593 := (forall (vars (?v0 S3) (?v1 S2) (?v2 S4)) (:pat #591) #75) -#78 := (forall (vars (?v0 S3) (?v1 S2) (?v2 S4)) #75) -#592 := (iff #78 #593) -#595 := (iff #593 #593) -#596 := [rewrite]: #595 -#594 := [rewrite]: #592 -#597 := [trans #594 #596]: #592 -#109 := (~ #78 #78) -#107 := (~ #75 #75) -#108 := [refl]: #107 -#110 := [nnf-pos #108]: #109 -#25 := (= #24 #22) -#26 := (forall (vars (?v0 S3) (?v1 S2) (?v2 S4)) #25) -#79 := (iff #26 #78) -#76 := (iff #25 #75) -#77 := [rewrite]: #76 -#80 := [quant-intro #77]: #79 -#74 := [asserted]: #26 -#83 := [mp #74 #80]: #78 -#101 := [mp~ #83 #110]: #78 -#598 := [mp #101 #597]: #593 -#262 := (not #593) -#266 := (or #262 #175) -#263 := [quant-inst]: #266 -#223 := [unit-resolution #263 #598]: #175 -#230 := [trans #223 #229]: #55 -#71 := (not #55) -#73 := [not-or-elim #72]: #71 -[unit-resolution #73 #230]: false -unsat -c992b1f07c8690f317843ec597ee745825b8d2b2 117 0 -#2 := false -decl f6 :: (-> S3 S3 S2) -decl f3 :: (-> S2 S3) -decl f4 :: S2 -#8 := f4 -#9 := (f3 f4) -decl f5 :: (-> S2 S3) -#10 := (f5 f4) -#12 := (f6 #10 #9) -#13 := (= f4 #12) -#349 := (f6 #9 #10) -#550 := (= #349 #12) -#549 := (= #12 #349) -#11 := (= #9 #10) -#243 := (f3 #12) -#543 := (= #243 #10) -#240 := (= #10 #243) -#17 := (:var 0 S3) -#16 := (:var 1 S3) -#18 := (f6 #16 #17) -#568 := (pattern #18) -#19 := (f3 #18) -#53 := (= #16 #19) -#569 := (forall (vars (?v0 S3) (?v1 S3)) (:pat #568) #53) -#57 := (forall (vars (?v0 S3) (?v1 S3)) #53) -#572 := (iff #57 #569) -#570 := (iff #53 #53) -#571 := [refl]: #570 -#573 := [quant-intro #571]: #572 -#90 := (~ #57 #57) -#88 := (~ #53 #53) -#89 := [refl]: #88 -#91 := [nnf-pos #89]: #90 -#20 := (= #19 #16) -#21 := (forall (vars (?v0 S3) (?v1 S3)) #20) -#58 := (iff #21 #57) -#55 := (iff #20 #53) -#56 := [rewrite]: #55 -#59 := [quant-intro #56]: #58 -#52 := [asserted]: #21 -#62 := [mp #52 #59]: #57 -#80 := [mp~ #62 #91]: #57 -#574 := [mp #80 #573]: #569 -#560 := (not #569) -#562 := (or #560 #240) -#217 := [quant-inst]: #562 -#220 := [unit-resolution #217 #574]: #240 -#204 := [symm #220]: #543 -#559 := (= #9 #243) -#558 := (= #243 #9) -#557 := (= #12 f4) -#48 := (not #11) -#564 := [hypothesis]: #48 -#238 := (or #13 #11) -#49 := (iff #13 #48) -#14 := (iff #11 #13) -#15 := (not #14) -#50 := (iff #15 #49) -#51 := [rewrite]: #50 -#47 := [asserted]: #15 -#54 := [mp #47 #51]: #49 -#150 := (not #49) -#237 := (or #13 #11 #150) -#151 := [def-axiom]: #237 -#152 := [unit-resolution #151 #54]: #238 -#565 := [unit-resolution #152 #564]: #13 -#215 := [symm #565]: #557 -#216 := [monotonicity #215]: #558 -#200 := [symm #216]: #559 -#205 := [trans #200 #204]: #11 -#206 := [unit-resolution #564 #205]: false -#207 := [lemma #206]: #11 -#546 := (= #10 #9) -#547 := [symm #207]: #546 -#544 := [monotonicity #547 #207]: #549 -#186 := [symm #544]: #550 -#556 := (= f4 #349) -#25 := (:var 0 S2) -#27 := (f5 #25) -#582 := (pattern #27) -#26 := (f3 #25) -#581 := (pattern #26) -#28 := (f6 #26 #27) -#69 := (= #25 #28) -#583 := (forall (vars (?v0 S2)) (:pat #581 #582) #69) -#73 := (forall (vars (?v0 S2)) #69) -#586 := (iff #73 #583) -#584 := (iff #69 #69) -#585 := [refl]: #584 -#587 := [quant-intro #585]: #586 -#84 := (~ #73 #73) -#92 := (~ #69 #69) -#93 := [refl]: #92 -#85 := [nnf-pos #93]: #84 -#29 := (= #28 #25) -#30 := (forall (vars (?v0 S2)) #29) -#74 := (iff #30 #73) -#71 := (iff #29 #69) -#72 := [rewrite]: #71 -#75 := [quant-intro #72]: #74 -#68 := [asserted]: #30 -#78 := [mp #68 #75]: #73 -#94 := [mp~ #78 #85]: #73 -#588 := [mp #94 #587]: #583 -#566 := (not #583) -#561 := (or #566 #556) -#567 := [quant-inst]: #561 -#548 := [unit-resolution #567 #588]: #556 -#551 := [trans #548 #186]: #13 -#239 := (not #13) -#242 := (or #239 #48) -#230 := (or #239 #48 #150) -#241 := [def-axiom]: #230 -#170 := [unit-resolution #241 #54]: #242 -#545 := [unit-resolution #170 #207]: #239 -[unit-resolution #545 #551]: false -unsat -d43a3750252b86094159a0508ea79def7392e6da 187 0 +8cd68e8e260f2f18965c0617f7c8e0414cba4ea7 187 0 #2 := false decl f6 :: (-> S3 S2 S4) decl f5 :: S2 @@ -51562,7 +51444,125 @@ #67 := [not-or-elim #66]: #65 [unit-resolution #67 #496]: false unsat -d9c2fc1edc378ccb88037e9ae16a84f1542acb6f 31 0 +11ff498c93ee1972d946dfaaf38aec4ff91ae83c 117 0 +#2 := false +decl f6 :: (-> S3 S3 S2) +decl f3 :: (-> S2 S3) +decl f4 :: S2 +#8 := f4 +#9 := (f3 f4) +decl f5 :: (-> S2 S3) +#10 := (f5 f4) +#12 := (f6 #10 #9) +#13 := (= f4 #12) +#349 := (f6 #9 #10) +#550 := (= #349 #12) +#549 := (= #12 #349) +#11 := (= #9 #10) +#243 := (f3 #12) +#543 := (= #243 #10) +#240 := (= #10 #243) +#17 := (:var 0 S3) +#16 := (:var 1 S3) +#18 := (f6 #16 #17) +#568 := (pattern #18) +#19 := (f3 #18) +#53 := (= #16 #19) +#569 := (forall (vars (?v0 S3) (?v1 S3)) (:pat #568) #53) +#57 := (forall (vars (?v0 S3) (?v1 S3)) #53) +#572 := (iff #57 #569) +#570 := (iff #53 #53) +#571 := [refl]: #570 +#573 := [quant-intro #571]: #572 +#90 := (~ #57 #57) +#88 := (~ #53 #53) +#89 := [refl]: #88 +#91 := [nnf-pos #89]: #90 +#20 := (= #19 #16) +#21 := (forall (vars (?v0 S3) (?v1 S3)) #20) +#58 := (iff #21 #57) +#55 := (iff #20 #53) +#56 := [rewrite]: #55 +#59 := [quant-intro #56]: #58 +#52 := [asserted]: #21 +#62 := [mp #52 #59]: #57 +#80 := [mp~ #62 #91]: #57 +#574 := [mp #80 #573]: #569 +#560 := (not #569) +#562 := (or #560 #240) +#217 := [quant-inst]: #562 +#220 := [unit-resolution #217 #574]: #240 +#204 := [symm #220]: #543 +#559 := (= #9 #243) +#558 := (= #243 #9) +#557 := (= #12 f4) +#48 := (not #11) +#564 := [hypothesis]: #48 +#238 := (or #13 #11) +#49 := (iff #13 #48) +#14 := (iff #11 #13) +#15 := (not #14) +#50 := (iff #15 #49) +#51 := [rewrite]: #50 +#47 := [asserted]: #15 +#54 := [mp #47 #51]: #49 +#150 := (not #49) +#237 := (or #13 #11 #150) +#151 := [def-axiom]: #237 +#152 := [unit-resolution #151 #54]: #238 +#565 := [unit-resolution #152 #564]: #13 +#215 := [symm #565]: #557 +#216 := [monotonicity #215]: #558 +#200 := [symm #216]: #559 +#205 := [trans #200 #204]: #11 +#206 := [unit-resolution #564 #205]: false +#207 := [lemma #206]: #11 +#546 := (= #10 #9) +#547 := [symm #207]: #546 +#544 := [monotonicity #547 #207]: #549 +#186 := [symm #544]: #550 +#556 := (= f4 #349) +#25 := (:var 0 S2) +#27 := (f5 #25) +#582 := (pattern #27) +#26 := (f3 #25) +#581 := (pattern #26) +#28 := (f6 #26 #27) +#69 := (= #25 #28) +#583 := (forall (vars (?v0 S2)) (:pat #581 #582) #69) +#73 := (forall (vars (?v0 S2)) #69) +#586 := (iff #73 #583) +#584 := (iff #69 #69) +#585 := [refl]: #584 +#587 := [quant-intro #585]: #586 +#84 := (~ #73 #73) +#92 := (~ #69 #69) +#93 := [refl]: #92 +#85 := [nnf-pos #93]: #84 +#29 := (= #28 #25) +#30 := (forall (vars (?v0 S2)) #29) +#74 := (iff #30 #73) +#71 := (iff #29 #69) +#72 := [rewrite]: #71 +#75 := [quant-intro #72]: #74 +#68 := [asserted]: #30 +#78 := [mp #68 #75]: #73 +#94 := [mp~ #78 #85]: #73 +#588 := [mp #94 #587]: #583 +#566 := (not #583) +#561 := (or #566 #556) +#567 := [quant-inst]: #561 +#548 := [unit-resolution #567 #588]: #556 +#551 := [trans #548 #186]: #13 +#239 := (not #13) +#242 := (or #239 #48) +#230 := (or #239 #48 #150) +#241 := [def-axiom]: #230 +#170 := [unit-resolution #241 #54]: #242 +#545 := [unit-resolution #170 #207]: #239 +[unit-resolution #545 #551]: false +unsat +4cd366e11e92a3096da693a1c949e0a0235771e1 31 0 #2 := false decl f1 :: S1 #4 := f1 @@ -51594,7 +51594,7 @@ #62 := [asserted]: #12 [mp #62 #79]: false unsat -3df517f77a8847ec580730167b0937b5bdc9f32c 58 0 +862ca11132e978d4725394191af361fe43022f5f 58 0 #2 := false decl f3 :: (-> S2 S1) #13 := (:var 0 S2) @@ -51653,7 +51653,7 @@ #247 := [quant-inst]: #333 [unit-resolution #247 #78 #667]: false unsat -1b877eab526e97351cb862fc0b9910541c0a7e4b 46 0 +889c897f95d38c70626926b88d4e65240961bf38 46 0 #2 := false decl f3 :: (-> S2 S1) #17 := (:var 0 S2) @@ -51700,7 +51700,7 @@ #239 := [quant-inst]: #325 [unit-resolution #239 #70 #666]: false unsat -9cf9419534c29ea2783ed62db9d7dac14034c845 119 0 +f03c0d076b09a28f063ddbca092a33b823afb804 119 0 #2 := false decl f3 :: (-> S2 S2 S3 S1) decl f6 :: S3 @@ -51820,7 +51820,7 @@ #320 := [unit-resolution #678 #329]: #319 [unit-resolution #320 #318 #317]: false unsat -db4d005483a981015636afecf4abdbe3eecdc540 154 0 +a6efe1b3687d3cc17ba5ea65fa9b7033b64122bf 154 0 #2 := false decl f7 :: (-> S2 S3 S1) decl f6 :: S3 @@ -51975,7 +51975,7 @@ #289 := [quant-inst]: #651 [unit-resolution #289 #675 #294]: false unsat -01e84163a16924ffd8e379badcb76f97c88eb8e1 128 0 +d1421e190f987aeaec441d0daf9b02a2f258566f 128 0 #2 := false decl f8 :: (-> S2 S3 S1) decl f6 :: S3 @@ -52104,7 +52104,7 @@ #630 := [quant-inst]: #635 [unit-resolution #630 #667 #637]: false unsat -db25ac5ac3d60bebb553d3f6b343562b94a56253 146 0 +db52b16fae67253deaefead0db41a82bcf2ebe59 146 0 #2 := false decl f3 :: (-> S2 S2 S3 S1) decl f6 :: S3 @@ -52251,7 +52251,7 @@ #632 := [unit-resolution #661 #642]: #635 [unit-resolution #632 #631 #633]: false unsat -9033d495190da4d9088c43145881d91ed9687495 121 0 +8f02554bbb40e6658b09b0c2823ecea18b08c91d 121 0 #2 := false decl f3 :: (-> S2 S2 S3 S1) decl f5 :: S3 @@ -52373,7 +52373,7 @@ #650 := [unit-resolution #323 #308]: #649 [unit-resolution #650 #648 #647]: false unsat -d24feed52b94afbe0c3926c41e67eb725f57798d 258 0 +2736190123a7d967c1298876eb9c2dad86e52b59 258 0 #2 := false decl f3 :: (-> S2 S3 S1) decl f8 :: S3 @@ -52632,7 +52632,7 @@ #585 := [def-axiom]: #575 [unit-resolution #585 #539 #546 #581]: false unsat -5b1f4025c8afe3b7c1a0fb50a6e0140ed51756ba 153 0 +eaeae96294c9f1d454cc1537d34925d3b42674d8 153 0 #2 := false decl f7 :: (-> S2 S3 S1) decl f6 :: S3 @@ -52786,7 +52786,7 @@ #339 := [unit-resolution #692 #689]: #338 [unit-resolution #339 #337 #674]: false unsat -14e5476f4f3857f931521140926538df69a7900f 141 0 +95f397b9920f2327707ec91629a09aa96ab88f3c 141 0 #2 := false decl f7 :: (-> S2 S3 S1) decl f6 :: S3 @@ -52928,7 +52928,7 @@ #312 := [quant-inst]: #652 [unit-resolution #312 #668 #637]: false unsat -17d0e6f19e122ea3db2aaeed6f9623f5ae4eb5b6 165 0 +7a53c3d1a097c7a7e4616fc3acc808abc59f3a4b 165 0 #2 := false decl f7 :: (-> S2 S3 S1) decl f6 :: S3 @@ -53094,7 +53094,7 @@ #665 := [def-axiom]: #664 [unit-resolution #665 #655 #654]: false unsat -8c5227e6af822f9c7c2a140803c4af49bcf24bcb 164 0 +f3ecd39108ba2067a1db25179cee7d64804b1fdb 164 0 #2 := false decl f3 :: (-> S2 S2 S3 S1) decl f6 :: S3 @@ -53259,7 +53259,7 @@ #626 := [unit-resolution #290 #354]: #625 [unit-resolution #626 #636 #631]: false unsat -8156155a61a8ea554dc6bef7e96703a3d13ceb5f 142 0 +f5598d5da2ef327dfa5f6213aebc49b5a19fb777 142 0 #2 := false decl f3 :: (-> S2 S2 S3 S1) decl f5 :: S3 @@ -53402,7 +53402,7 @@ #655 := [unit-resolution #309 #645]: #295 [unit-resolution #655 #294 #654]: false unsat -f0bdfff0ca207ce8dcf7aafa0f5fd49080a4003e 279 0 +11da52e001c270ce301b6d7c5a73bedb29349752 279 0 #2 := false decl f3 :: (-> S2 S3 S1) decl f8 :: S3 @@ -53682,7 +53682,7 @@ #580 := [def-axiom]: #579 [unit-resolution #580 #526 #543 #572]: false unsat -0166ab8a0d2c326b9fbcb4a04b09f2f360525618 18 0 +b948f53222b56a42099bea7be09fe4963a5cfdb3 18 0 #2 := false decl f3 :: S2 #8 := f3 diff -r 5edeb5d269fa -r 12a06ad29681 src/HOL/SMT_Examples/SMT_Word_Examples.certs --- a/src/HOL/SMT_Examples/SMT_Word_Examples.certs Wed Nov 03 16:44:38 2010 +0100 +++ b/src/HOL/SMT_Examples/SMT_Word_Examples.certs Wed Nov 03 17:02:53 2010 +0100 @@ -1,50 +1,50 @@ -46235d1f6a4388f12c18d3d18eaed2d6ab3523e2 1 0 +e1bd9b09ecc046c90fa67ab56ab4bc91c2137e7c 1 0 unsat -2989011a3b771bf7eab17217929d76db371db55a 1 0 +b0b514fa1c40f2df103dbe4bab9d6ee5e8e38622 1 0 unsat -4d462cfbec6db35b16a67293eb04373a3a11cb44 1 0 +4a2f9858de3b5f966f7cfe668d50b9fdbdccc28f 1 0 unsat -32e799a4f02a8bf85378e2558d647d6e6e7e4116 1 0 +b403fe5b6096d56ba2e1efb5889c116ad939fb9a 1 0 unsat -ea8ec671ee4ec9ca44eadb130212b55542ad3c72 1 0 +07197240befc69475d497a3deb0cd58a7dc5035a 1 0 unsat -0b22b7d406250c007b69daac26169211cece6e5e 1 0 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