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src/HOL/SMT/Examples/cert/z3_arith_quant_12.proof
author wenzelm
Fri, 06 Nov 2009 10:26:13 +0100
changeset 33466 8f2e102f6628
parent 33010 39f73a59e855
permissions -rw-r--r--
merged
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
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#2 := false
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#5 := 0::int
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#4 := (:var 0 int)
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#42 := (<= #4 0::int)
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#43 := (not #42)
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#40 := (>= #4 0::int)
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#38 := (not #40)
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#46 := (or #38 #43)
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#49 := (forall (vars (?x1 int)) #46)
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#524 := (not #49)
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#118 := (<= 0::int 0::int)
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#205 := (not #118)
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#119 := (>= 0::int 0::int)
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#206 := (not #119)
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#120 := (or #206 #205)
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#183 := (or #524 #120)
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#172 := (iff #183 #524)
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#525 := (or #524 false)
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#168 := (iff #525 #524)
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#510 := [rewrite]: #168
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#184 := (iff #183 #525)
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#528 := (iff #120 false)
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#197 := (or false false)
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#532 := (iff #197 false)
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#533 := [rewrite]: #532
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#530 := (iff #120 #197)
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#523 := (iff #205 false)
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#1 := true
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#209 := (not true)
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#211 := (iff #209 false)
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#208 := [rewrite]: #211
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#185 := (iff #205 #209)
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#527 := (iff #118 true)
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#529 := [rewrite]: #527
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#316 := [monotonicity #529]: #185
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#196 := [trans #316 #208]: #523
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#212 := (iff #206 false)
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#210 := (iff #206 #209)
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#207 := (iff #119 true)
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#198 := [rewrite]: #207
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#138 := [monotonicity #198]: #210
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#191 := [trans #138 #208]: #212
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#531 := [monotonicity #191 #196]: #530
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#534 := [trans #531 #533]: #528
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#526 := [monotonicity #534]: #184
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#173 := [trans #526 #510]: #172
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#188 := [quant-inst]: #183
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#174 := [mp #188 #173]: #524
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#60 := (~ #49 #49)
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#58 := (~ #46 #46)
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#59 := [refl]: #58
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#61 := [nnf-pos #59]: #60
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#7 := (< 0::int #4)
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#6 := (< #4 0::int)
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#8 := (or #6 #7)
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#9 := (forall (vars (?x1 int)) #8)
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#10 := (ite #9 false true)
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#11 := (not #10)
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#52 := (iff #11 #49)
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#50 := (iff #9 #49)
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#47 := (iff #8 #46)
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#44 := (iff #7 #43)
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#45 := [rewrite]: #44
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#39 := (iff #6 #38)
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#41 := [rewrite]: #39
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#48 := [monotonicity #41 #45]: #47
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#51 := [quant-intro #48]: #50
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#36 := (iff #11 #9)
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#28 := (not #9)
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#31 := (not #28)
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#34 := (iff #31 #9)
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#35 := [rewrite]: #34
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#32 := (iff #11 #31)
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#29 := (iff #10 #28)
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#30 := [rewrite]: #29
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#33 := [monotonicity #30]: #32
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#37 := [trans #33 #35]: #36
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#53 := [trans #37 #51]: #52
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#27 := [asserted]: #11
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#54 := [mp #27 #53]: #49
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#62 := [mp~ #54 #61]: #49
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[unit-resolution #62 #174]: false
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unsat
isabelle