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+ diff -r e7284278796b -r 95c2853dd616 src/HOL/SMT_Examples/Boogie_Max.certs --- a/src/HOL/SMT_Examples/Boogie_Max.certs Wed Sep 30 23:31:18 2020 +0200 +++ b/src/HOL/SMT_Examples/Boogie_Max.certs Wed Sep 30 23:37:07 2020 +0200 @@ -777,3 +777,782 @@ (let ((@x2111 (unit-resolution (lemma @x1971 (or $x951 (not $x1522) $x1858 $x689 $x1895 $x1359 $x1361)) @x2102 (or $x951 (not $x1522) $x689 $x1895 $x1359 $x1361)))) (unit-resolution @x2111 @x2109 @x2121 (unit-resolution (def-axiom (or $x1898 $x692)) @x2025 $x692) (unit-resolution (def-axiom (or $x1898 $x1892)) @x2025 $x1892) (unit-resolution (def-axiom (or $x1898 $x104)) @x2025 $x104) (unit-resolution (def-axiom (or $x1898 $x109)) @x2025 $x109) false)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) +5c906235df8ae94e7242f53402af877022224c12 778 0 +unsat +((set-logic AUFLIA) +(declare-fun ?v0!3 () Int) +(declare-fun ?v0!2 () Int) +(declare-fun ?v0!1 () Int) +(declare-fun ?v0!0 () Int) +(proof +(let (($x109 (= v_b_max_G_3$ v_b_max_G_2$))) +(let ((?x135 (v_b_array$ v_b_k_G_1$))) +(let (($x136 (= ?x135 v_b_max_G_3$))) +(let (($x1878 (forall ((?v0 Int) )(! 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b/src/HOL/SMT_Examples/SMT_Examples.certs Wed Sep 30 23:37:07 2020 +0200 @@ -6086,3 +6086,4829 @@ (let ((@x133 (not-or-elim (mp (asserted $x96) @x129 $x125) (not (>= ?x89 1))))) ((_ th-lemma arith farkas -4 1 1) @x133 (unit-resolution (def-axiom (or $x683 $x668)) @x479 $x668) @x551 false)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) +032a981d2d971a3ae58910db408d3838b7de586f 7 0 +unsat +((set-logic AUFLIA) +(proof +(let ((@x36 (monotonicity (rewrite (= (or p$ (not p$)) true)) (= (not (or p$ (not p$))) (not true))))) +(let ((@x40 (trans @x36 (rewrite (= (not true) false)) (= (not (or p$ (not p$))) false)))) +(mp (asserted (not (or p$ (not p$)))) @x40 false))))) + +d251ca4335382db5b789cf4827abd98b9e46f2bf 9 0 +unsat +((set-logic AUFLIA) +(proof +(let ((@x36 (monotonicity (rewrite (= (and p$ true) p$)) (= (= (and p$ true) p$) (= p$ p$))))) +(let ((@x40 (trans @x36 (rewrite (= (= p$ p$) true)) (= 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(= (size$ (cons$a ?v0 ?v1)) (plus$ (size$ ?v1) (suc$ zero$))) :qid k!46)) +)) +(let (($x113 (= (size$ (cons$a ?1 ?0)) (plus$ (size$ ?0) ?x89)))) +(let ((@x173 (mp~ (asserted $x114) (nnf-pos (refl (~ $x113 $x113)) (~ $x114 $x114)) $x114))) +(let ((@x662 (mp @x173 (quant-intro (refl (= $x113 $x113)) (= $x114 $x657)) $x657))) +(let (($x576 (or (not $x657) $x570))) +(let ((@x213 ((_ quant-inst true nil$a) $x576))) +(let ((?x108 (size$a nil$))) +(let (($x109 (= ?x108 zero$))) +(let ((@x110 (asserted $x109))) +(let (($x106 (= ?x105 zero$))) +(let ((@x107 (asserted $x106))) +(let ((@x287 (monotonicity (trans @x107 (symm @x110 (= zero$ ?x108)) (= ?x105 ?x108)) (= ?x233 (plus$ ?x108 ?x89))))) +(let ((?x246 (plus$ ?x108 ?x89))) +(let ((?x256 (cons$ 3 nil$))) +(let ((?x588 (size$a ?x256))) +(let (($x584 (= ?x588 ?x246))) +(let (($x664 (forall ((?v0 Int) (?v1 Int_list$) )(! 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(= (g$ (some$ ?v0)) (g$a (cons$ ?v0 nil$))) :qid k!32)) +)) +(let (($x33 (= (g$ (some$ ?0)) (g$a (cons$ ?0 nil$))))) +(let ((@x157 (mp~ (asserted $x34) (nnf-pos (refl (~ $x33 $x33)) (~ $x34 $x34)) $x34))) +(let ((@x601 (mp @x157 (quant-intro (refl (= $x33 $x33)) (= $x34 $x596)) $x596))) +(let (($x250 (or (not $x596) $x268))) +(let ((@x586 ((_ quant-inst 3) $x250))) +(let ((@x275 (trans (unit-resolution @x586 @x601 $x268) (unit-resolution @x585 @x625 $x592) (= ?x123 ?x588)))) +(let ((@x280 (trans (trans @x275 (unit-resolution @x232 @x669 $x584) (= ?x123 ?x246)) (symm @x287 (= ?x246 ?x233)) (= ?x123 ?x233)))) +(let ((@x558 (trans @x280 (symm (unit-resolution @x213 @x662 $x570) (= ?x233 ?x227)) (= ?x123 ?x227)))) +(let ((@x560 (trans @x558 (symm (unit-resolution @x572 @x617 $x569) (= ?x227 ?x270)) (= ?x123 ?x270)))) +(let ((@x546 (trans @x560 (symm (unit-resolution @x255 @x609 $x587) (= ?x270 ?x125)) $x126))) +(let (($x127 (not $x126))) +(let ((@x128 (asserted $x127))) +(unit-resolution @x128 @x546 false))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) + diff -r e7284278796b -r 95c2853dd616 src/HOL/SMT_Examples/SMT_Word_Examples.certs --- a/src/HOL/SMT_Examples/SMT_Word_Examples.certs Wed Sep 30 23:31:18 2020 +0200 +++ b/src/HOL/SMT_Examples/SMT_Word_Examples.certs Wed Sep 30 23:37:07 2020 +0200 @@ -380,3 +380,368 @@ (let ((@x53 (trans @x49 (rewrite (= (not true) false)) (= (not $x32) false)))) (mp (asserted (not $x32)) @x53 false)))))))))) +9f7a96d88c6326ad836384c37d13934828ff726d 8 0 +unsat +((set-logic ) +(proof +(let ((@x38 (monotonicity (rewrite (= (bvneg (_ bv5 4)) (_ bv11 4))) (= (= (_ bv11 4) (bvneg (_ bv5 4))) (= (_ bv11 4) (_ bv11 4)))))) +(let ((@x42 (trans @x38 (rewrite (= (= (_ bv11 4) (_ bv11 4)) true)) (= (= (_ bv11 4) (bvneg (_ bv5 4))) true)))) +(let ((@x49 (trans (monotonicity @x42 (= (not (= (_ bv11 4) (bvneg (_ bv5 4)))) (not true))) (rewrite (= (not true) false)) (= (not (= (_ bv11 4) (bvneg (_ bv5 4)))) false)))) +(mp (asserted (not (= (_ bv11 4) (bvneg (_ bv5 4))))) @x49 false)))))) + +6cad4ca9b92628993328e0c9cd5982fe4690567b 7 0 +unsat +((set-logic ) +(proof +(let ((@x35 (monotonicity (rewrite (= (= (_ bv11 4) (_ bv11 4)) true)) (= (not (= (_ bv11 4) (_ bv11 4))) (not true))))) +(let ((@x39 (trans @x35 (rewrite (= (not true) false)) (= (not (= (_ bv11 4) (_ bv11 4))) false)))) +(mp (asserted (not (= (_ bv11 4) (_ bv11 4)))) @x39 false))))) + +55b7bec34258b475381a754439390616488c924c 7 0 +unsat +((set-logic ) +(proof +(let ((@x38 (monotonicity (rewrite (= (bvult (_ bv23 8) (_ bv27 8)) true)) (= (not (bvult (_ bv23 8) (_ bv27 8))) (not true))))) +(let ((@x42 (trans @x38 (rewrite (= (not true) false)) (= (not (bvult (_ bv23 8) (_ bv27 8))) false)))) +(mp (asserted (not (bvult (_ bv23 8) (_ bv27 8)))) @x42 false))))) + +fa462c1327b4231dc12d6f379b9bb280ea17bfd3 9 0 +unsat +((set-logic ) +(proof +(let ((@x38 (monotonicity (rewrite (= (bvadd (_ bv27 5) (_ bv11 5)) (_ bv6 5))) (= (= (bvadd (_ bv27 5) 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(let ((?x47 (bv2int$ ?v0))) +(< 0 ?x47)) :qid k!9)) +)) +(let ((@x56 (rewrite (= (< 0 (bv2int$ ?0)) (not (<= (bv2int$ ?0) 0)))))) +(let ((@x115 (mp~ (mp (asserted $x49) (quant-intro @x56 (= $x49 $x57)) $x57) (nnf-pos @x112 (~ $x57 $x57)) $x57))) +(let ((@x180 (mp @x115 (quant-intro @x177 (= $x57 $x175)) $x175))) +(let (($x187 (not $x175))) +(let (($x188 (or $x187 $x184))) +(let ((@x189 ((_ quant-inst (_ bv0 2)) $x188))) +(let (($x29 (= ?x28 0))) +(let ((@x30 (asserted $x29))) +(unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x29) $x183)) @x30 (unit-resolution @x189 @x180 $x184) false))))))))))))))))))) + +20245d49b4c03da63c3124c5910beafc837f359a 12 0 +unsat +((set-logic ) +(proof +(let ((?x31 (p$ true))) +(let (($x29 (bvule (_ bv0 4) a$))) +(let ((?x30 (p$ $x29))) +(let (($x32 (= ?x30 ?x31))) +(let ((@x42 (monotonicity (monotonicity (rewrite (= $x29 true)) $x32) (= $x32 (= ?x31 ?x31))))) +(let ((@x49 (monotonicity (trans @x42 (rewrite (= (= ?x31 ?x31) true)) (= $x32 true)) (= (not $x32) (not true))))) +(let ((@x53 (trans @x49 (rewrite (= (not true) false)) (= (not $x32) false)))) +(mp (asserted (not $x32)) @x53 false)))))))))) + diff -r e7284278796b -r 95c2853dd616 src/HOL/SMT_Examples/VCC_Max.certs --- a/src/HOL/SMT_Examples/VCC_Max.certs Wed Sep 30 23:31:18 2020 +0200 +++ b/src/HOL/SMT_Examples/VCC_Max.certs Wed Sep 30 23:37:07 2020 +0200 @@ -2923,3 +2923,2928 @@ (let ((@x24927 (lemma (unit-resolution (hypothesis $x24385) @x24924 false) (or $x24726 $x24332 $x24607)))) (unit-resolution (unit-resolution @x24927 @x23880 (or $x24332 $x24607)) @x24156 @x24149 false)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) +b45f2460a495d881fc6020fbfa5928aede1a58f0 2924 0 +unsat +((set-logic ) +(declare-fun ?v0!15 () Int) +(declare-fun ?v0!14 () Int) +(declare-fun ?v0!13 () Int) +(proof +(let ((?x10076 (b_S_array$ b_T_T_u1$ v_b_P_H_len$))) +(let ((?x22595 (b_S_ptr$ ?x10076 v_b_P_H_arr$))) +(let ((?x24598 (b_S_idx$ ?x22595 v_b_L_H_p_G_0$ b_T_T_u1$))) +(let ((?x10272 (b_S_typemap$ v_b_S_s$))) +(let ((?x24302 (b_S_select_o_tm$ ?x10272 ?x24598))) +(let ((?x24605 (b_S_ts_n_emb$ ?x24302))) +(let (($x24606 (= ?x24605 ?x22595))) +(let (($x24611 (b_S_typed$ v_b_S_s$ ?x24598))) +(let (($x24614 (not $x24611))) +(let (($x24608 (b_S_ts_n_is_n_volatile$ ?x24302))) +(let (($x24607 (not $x24606))) +(let (($x24615 (or $x24607 $x24608 (not (b_S_ts_n_is_n_array_n_elt$ ?x24302)) $x24614))) +(let (($x24616 (not $x24615))) +(let (($x11901 (>= v_b_L_H_p_G_0$ 0))) +(let (($x20030 (forall ((?v0 Int) )(! 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(or (not (b_S_is$ ?v0 ?v1)) (= ?v0 (b_S_ptr$ ?v1 (b_S_ref$ ?v0)))) :pattern ( (b_S_is$ ?v0 ?v1) ) :qid k!622)) +)) +(let (($x9604 (or (not (b_S_is$ ?1 ?0)) (= ?1 (b_S_ptr$ ?0 (b_S_ref$ ?1)))))) +(let (($x9601 (forall ((?v0 B_S_ptr$) (?v1 B_S_ctype$) )(! (let (($x9596 (b_S_is$ ?v0 ?v1))) +(=> $x9596 (= ?v0 (b_S_ptr$ ?v1 (b_S_ref$ ?v0))))) :pattern ( (b_S_is$ ?v0 ?v1) ) :qid k!622)) +)) +(let (($x9605 (= (=> (b_S_is$ ?1 ?0) (= ?1 (b_S_ptr$ ?0 (b_S_ref$ ?1)))) $x9604))) +(let ((@x15336 (mp~ (mp (asserted $x9601) (quant-intro (rewrite $x9605) (= $x9601 $x9607)) $x9607) (nnf-pos (refl (~ $x9604 $x9604)) (~ $x9607 $x9607)) $x9607))) +(let (($x21982 (not $x10084))) +(let (($x21994 (not $x9607))) +(let (($x21995 (or $x21994 $x21982 $x21990))) +(let ((@x22000 (mp ((_ quant-inst (b_S_ptr$ ?x10076 ?x10079) (b_S_array$ b_T_T_u1$ v_b_P_H_len$)) (or $x21994 (or $x21982 $x21990))) (rewrite (= (or $x21994 (or $x21982 $x21990)) $x21995)) $x21995))) +(let ((@x23670 (symm (unit-resolution @x22000 @x15336 @x12044 $x21990) (= ?x21983 ?x10080)))) +(let ((@x23502 (monotonicity (trans @x23670 (symm @x23680 (= ?x10080 ?x22595)) (= ?x21983 ?x22595)) (= (b_S_set_n_in$ ?x21983 ?x22343) $x22596)))) +(let (($x22344 (b_S_set_n_in$ ?x21983 ?x22343))) +(let (($x22362 (forall ((?v3 B_S_ptr$) )(! (let ((?x10078 (b_S_ptr$ b_T_T_u1$ v_b_P_H_arr$))) +(let ((?x10079 (b_S_ref$ ?x10078))) +(let ((?x10076 (b_S_array$ b_T_T_u1$ v_b_P_H_len$))) +(let ((?x10080 (b_S_ptr$ ?x10076 ?x10079))) +(let ((?x21014 (b_S_ref$ ?x10080))) +(let ((?x21983 (b_S_ptr$ ?x10076 ?x21014))) +(let ((?x22357 (b_S_read_n_version$ v_b_S_s$ ?x21983))) +(let ((?x22358 (b_S_ver_n_domain$ ?x22357))) +(let ((?x22234 (b_S_typ$ ?x21983))) +(let (($x22353 (b_S_has_n_volatile_n_owns_n_set$ ?x22234))) +(or $x22353 (not (b_S_set_n_in$ ?v3 (b_S_owns$ v_b_S_s$ ?x21983))) (b_S_set_n_in2$ ?v3 ?x22358)))))))))))) :pattern ( (b_S_set_n_in$ ?v3 (b_S_owns$ v_b_S_s$ (b_S_ptr$ (b_S_array$ b_T_T_u1$ v_b_P_H_len$) (b_S_ref$ (b_S_ptr$ (b_S_array$ b_T_T_u1$ v_b_P_H_len$) (b_S_ref$ (b_S_ptr$ b_T_T_u1$ v_b_P_H_arr$))))))) ) :qid k!564)) +)) +(let (($x22363 (not $x22362))) +(let (($x22248 (b_S_closed$ v_b_S_s$ ?x21983))) +(let (($x22272 (not $x22248))) +(let (($x22352 (not $x22344))) +(let (($x22364 (or $x22352 $x22272 $x22363))) +(let (($x22365 (not $x22364))) +(let (($x22318 (b_S_in_n_domain$ v_b_S_s$ ?x21983 ?x21983))) +(let (($x22317 (b_S_in_n_domain_n_lab$ v_b_S_s$ ?x21983 ?x21983 b_l_H_public$))) +(let (($x22326 (= $x22317 $x22318))) +(let (($x8728 (forall ((?v0 B_S_state$) (?v1 B_S_ptr$) (?v2 B_S_ptr$) (?v3 B_S_label$) )(! (let (($x8719 (b_S_in_n_domain$ ?v0 ?v1 ?v2))) +(let (($x8718 (b_S_in_n_domain_n_lab$ ?v0 ?v1 ?v2 ?v3))) +(= $x8718 $x8719))) :pattern ( (b_S_in_n_domain_n_lab$ ?v0 ?v1 ?v2 ?v3) ) :qid k!567)) +)) +(let (($x8719 (b_S_in_n_domain$ ?3 ?2 ?1))) +(let (($x8718 (b_S_in_n_domain_n_lab$ ?3 ?2 ?1 ?0))) +(let (($x8725 (= $x8718 $x8719))) +(let (($x8723 (forall ((?v0 B_S_state$) (?v1 B_S_ptr$) (?v2 B_S_ptr$) (?v3 B_S_label$) )(! (let (($x8719 (b_S_in_n_domain$ ?v0 ?v1 ?v2))) +(let (($x8718 (b_S_in_n_domain_n_lab$ ?v0 ?v1 ?v2 ?v3))) +(= $x8718 $x8719))) :pattern ( (b_S_in_n_domain_n_lab$ ?v0 ?v1 ?v2 ?v3) ) :qid k!567)) +)) +(let ((@x8733 (mp (asserted $x8723) (quant-intro (rewrite (= (= $x8718 $x8719) $x8725)) (= $x8723 $x8728)) $x8728))) +(let ((@x15021 (mp~ @x8733 (nnf-pos (refl (~ $x8725 $x8725)) (~ $x8728 $x8728)) $x8728))) +(let (($x22699 (or (not $x8728) $x22326))) +(let ((@x23229 ((_ quant-inst v_b_S_s$ (b_S_ptr$ ?x10076 ?x21014) (b_S_ptr$ ?x10076 ?x21014) b_l_H_public$) $x22699))) +(let ((@x22990 (unit-resolution @x23229 @x15021 $x22326))) +(let ((@x23563 (symm (monotonicity @x23670 @x23670 (= $x22317 $x10136)) (= $x10136 $x22317)))) +(let (($x35 (= b_S_kind_n_primitive$ b_S_kind_n_array$))) +(let (($x36 (not $x35))) +(let (($x22421 (= $x36 (not (= (b_S_kind_n_of$ (b_S_typ$ ?x21983)) b_S_kind_n_primitive$))))) +(let ((?x22234 (b_S_typ$ ?x21983))) +(let ((?x22387 (b_S_kind_n_of$ ?x22234))) +(let (($x22388 (= ?x22387 b_S_kind_n_primitive$))) +(let (($x22148 (= ?x10086 b_S_kind_n_array$))) +(let (($x21115 (b_S_is_n_arraytype$ ?x10076))) +(let (($x22149 (= $x21115 $x22148))) +(let (($x9869 (forall ((?v0 B_S_ctype$) )(! (let ((?x9849 (b_S_kind_n_of$ ?v0))) +(let (($x9861 (= ?x9849 b_S_kind_n_array$))) +(let (($x7848 (b_S_is_n_arraytype$ ?v0))) +(= $x7848 $x9861)))) :pattern ( (b_S_is_n_arraytype$ ?v0) ) :qid k!662)) +)) +(let ((?x9849 (b_S_kind_n_of$ ?0))) +(let (($x9861 (= ?x9849 b_S_kind_n_array$))) +(let (($x7848 (b_S_is_n_arraytype$ ?0))) +(let (($x9866 (= $x7848 $x9861))) +(let (($x9864 (forall ((?v0 B_S_ctype$) )(! (let ((?x9849 (b_S_kind_n_of$ ?v0))) +(let (($x9861 (= ?x9849 b_S_kind_n_array$))) +(let (($x7848 (b_S_is_n_arraytype$ ?v0))) +(= $x7848 $x9861)))) :pattern ( (b_S_is_n_arraytype$ ?v0) ) :qid k!662)) +)) +(let ((@x9874 (mp (asserted $x9864) (quant-intro (rewrite (= (= $x7848 $x9861) $x9866)) (= $x9864 $x9869)) $x9869))) +(let ((@x15446 (mp~ @x9874 (nnf-pos (refl (~ $x9866 $x9866)) (~ $x9869 $x9869)) $x9869))) +(let (($x22159 (or (not $x9869) $x22149))) +(let ((@x22160 ((_ quant-inst (b_S_array$ b_T_T_u1$ v_b_P_H_len$)) $x22159))) +(let (($x7229 (forall ((?v0 B_S_ctype$) (?v1 Int) )(! (let ((?x6561 (b_S_array$ ?v0 ?v1))) +(b_S_is_n_arraytype$ ?x6561)) :pattern ( (b_S_array$ ?v0 ?v1) ) :qid k!502)) +)) +(let ((?x6561 (b_S_array$ ?1 ?0))) +(let (($x7228 (b_S_is_n_arraytype$ ?x6561))) +(let ((@x14576 (mp~ (asserted $x7229) (nnf-pos (refl (~ $x7228 $x7228)) (~ $x7229 $x7229)) $x7229))) +(let (($x21122 (or (not $x7229) $x21115))) +(let ((@x21123 ((_ quant-inst b_T_T_u1$ v_b_P_H_len$) $x21122))) +(let ((@x22382 (unit-resolution (def-axiom (or (not $x22149) (not $x21115) $x22148)) (unit-resolution @x21123 @x14576 $x21115) (or (not $x22149) $x22148)))) +(let ((?x21180 (b_S_typ$ ?x10080))) +(let (($x21183 (= ?x21180 ?x10076))) +(let (($x19841 (forall ((?v0 B_S_ctype$) (?v1 Int) )(! (= (b_S_typ$ (b_S_ptr$ ?v0 ?v1)) ?v0) :pattern ( (b_S_ptr$ ?v0 ?v1) ) :qid k!628)) +)) +(let (($x9659 (forall ((?v0 B_S_ctype$) (?v1 Int) )(! (= (b_S_typ$ (b_S_ptr$ ?v0 ?v1)) ?v0) :qid k!628)) +)) +(let (($x9658 (= (b_S_typ$ (b_S_ptr$ ?1 ?0)) ?1))) +(let ((@x15361 (mp~ (asserted $x9659) (nnf-pos (refl (~ $x9658 $x9658)) (~ $x9659 $x9659)) $x9659))) +(let ((@x19846 (mp @x15361 (quant-intro (refl (= $x9658 $x9658)) (= $x9659 $x19841)) $x19841))) +(let (($x21147 (not $x19841))) +(let (($x21188 (or $x21147 $x21183))) +(let ((@x21189 ((_ quant-inst (b_S_array$ b_T_T_u1$ v_b_P_H_len$) (b_S_ref$ ?x10078)) $x21188))) +(let ((@x22406 (trans (monotonicity @x23670 (= ?x22234 ?x21180)) (unit-resolution @x21189 @x19846 $x21183) (= ?x22234 ?x10076)))) +(let ((@x22335 (trans (monotonicity @x22406 (= ?x22387 ?x10086)) (unit-resolution @x22382 (unit-resolution @x22160 @x15446 $x22149) $x22148) (= ?x22387 b_S_kind_n_array$)))) +(let ((@x22369 (monotonicity @x22335 (= $x22388 (= b_S_kind_n_array$ b_S_kind_n_primitive$))))) +(let ((@x22393 (trans @x22369 (commutativity (= (= b_S_kind_n_array$ b_S_kind_n_primitive$) $x35)) (= $x22388 $x35)))) +(let (($x41 (= b_S_kind_n_thread$ b_S_kind_n_array$))) +(let (($x42 (not $x41))) +(let (($x39 (= b_S_kind_n_composite$ b_S_kind_n_array$))) +(let (($x40 (not $x39))) +(let (($x37 (= b_S_kind_n_composite$ b_S_kind_n_thread$))) +(let (($x38 (not $x37))) +(let (($x32 (= b_S_kind_n_primitive$ b_S_kind_n_thread$))) +(let (($x33 (not $x32))) +(let (($x29 (= b_S_kind_n_primitive$ b_S_kind_n_composite$))) +(let (($x30 (not $x29))) +(let (($x67 (and $x30 $x33 $x36 $x38 $x40 $x42))) +(let (($x48 (and $x30 (and $x33 (and $x36 (and $x38 (and $x40 (and $x42 true)))))))) +(let (($x68 (= (and $x30 (and $x33 (and $x36 (and $x38 (and $x40 $x42))))) $x67))) +(let (($x65 (= $x48 (and $x30 (and $x33 (and $x36 (and $x38 (and $x40 $x42)))))))) +(let (($x62 (= (and $x33 (and $x36 (and $x38 (and $x40 (and $x42 true))))) (and $x33 (and $x36 (and $x38 (and $x40 $x42))))))) +(let (($x59 (= (and $x36 (and $x38 (and $x40 (and $x42 true)))) (and $x36 (and $x38 (and $x40 $x42)))))) +(let (($x56 (= (and $x38 (and $x40 (and $x42 true))) (and $x38 (and $x40 $x42))))) +(let ((@x54 (monotonicity (rewrite (= (and $x42 true) $x42)) (= (and $x40 (and $x42 true)) (and $x40 $x42))))) +(let ((@x66 (monotonicity (monotonicity (monotonicity (monotonicity @x54 $x56) $x59) $x62) $x65))) +(let ((@x72 (mp (asserted $x48) (trans @x66 (rewrite $x68) (= $x48 $x67)) $x67))) +(let ((@x75 (and-elim @x72 $x36))) +(let (($x22333 (not $x22318))) +(let (($x22336 (not $x22317))) +(let ((@x22397 (unit-resolution (def-axiom (or (not $x22326) $x22317 $x22333)) (mp (hypothesis $x11221) (monotonicity @x23563 (= $x11221 $x22336)) $x22336) @x22990 $x22333))) +(let (($x22368 (b_S_is$ ?x21983 ?x22234))) +(let ((@x23420 (mp @x12044 (symm (monotonicity @x23670 @x22406 (= $x22368 $x10084)) (= $x10084 $x22368)) $x22368))) +(let (($x22385 (b_S_typed$ v_b_S_s$ ?x21983))) +(let ((@x12045 (and-elim @x12033 $x10085))) +(let ((@x22419 (mp @x12045 (symm (monotonicity @x23670 (= $x22385 $x10085)) (= $x10085 $x22385)) $x22385))) +(let ((?x22243 (b_S_owner$ v_b_S_s$ ?x21983))) +(let (($x22259 (= ?x22243 b_S_me$))) +(let ((@x12043 (and-elim @x12033 $x10083))) +(let ((@x12042 (and-elim @x12033 $x10081))) +(let ((@x22437 (mp @x12042 (symm (monotonicity @x23670 (= $x22248 $x10081)) (= $x10081 $x22248)) $x22248))) +(let (($x22235 (b_S_is_n_non_n_primitive$ ?x22234))) +(let ((@x12047 (and-elim @x12033 $x10089))) +(let ((@x22500 (mp @x12047 (symm (monotonicity @x22406 (= $x22235 $x10089)) (= $x10089 $x22235)) $x22235))) +(let ((@x12050 (and-elim @x12033 $x10097))) +(let (($x18905 (forall ((?v0 B_S_state$) (?v1 B_S_ptr$) )(! (let (($x8613 (b_S_in_n_domain$ ?v0 ?v1 ?v1))) +(let ((?x2247 (b_S_typ$ ?v1))) +(let (($x2351 (b_S_is_n_non_n_primitive$ ?x2247))) +(let (($x9239 (not $x2351))) +(let (($x2249 (= (b_S_kind_n_of$ ?x2247) b_S_kind_n_primitive$))) +(let (($x2488 (b_S_typed$ ?v0 ?v1))) +(let (($x9531 (not $x2488))) +(let (($x2487 (b_S_is$ ?v1 ?x2247))) +(let (($x16299 (not $x2487))) +(let ((?x2484 (b_S_owner$ ?v0 ?v1))) +(let (($x2486 (= ?x2484 b_S_me$))) +(let (($x16298 (not $x2486))) +(let (($x2471 (b_S_closed$ ?v0 ?v1))) +(let (($x9185 (not $x2471))) +(let (($x2687 (b_S_full_n_stop$ ?v0))) +(let (($x16426 (not $x2687))) +(or $x16426 $x9185 $x16298 $x16299 $x9531 $x2249 $x9239 $x8613))))))))))))))))) :pattern ( (b_S_in_n_domain$ ?v0 ?v1 ?v1) ) :qid k!563)) +)) +(let (($x8634 (forall ((?v0 B_S_state$) (?v1 B_S_ptr$) )(! 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(let (($x8646 (b_S_set_n_in2$ ?v3 (b_S_ver_n_domain$ (b_S_read_n_version$ ?2 ?0))))) +(let ((?x6628 (b_S_typ$ ?1))) +(let (($x8640 (b_S_has_n_volatile_n_owns_n_set$ ?x6628))) +(or $x8640 (not (b_S_set_n_in$ ?v3 (b_S_owns$ ?2 ?1))) $x8646)))) :pattern ( (b_S_set_n_in$ ?v3 (b_S_owns$ ?2 ?1)) ) :qid k!564)) +)) +(let (($x2554 (b_S_closed$ ?2 ?1))) +(let (($x8955 (not $x2554))) +(let (($x8428 (b_S_set_n_in$ ?1 (b_S_domain$ ?2 ?0)))) +(let (($x18744 (not $x8428))) +(let (($x18937 (not (or $x18744 $x8955 (not $x18929))))) +(let (($x8461 (b_S_in_n_domain$ ?2 ?1 ?0))) +(let (($x8672 (not $x8461))) +(let (($x8660 (forall ((?v3 B_S_ptr$) )(! 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((@x19910 (quant-intro (refl (= (or $x3763 $x16553 $x11615 $x11633) (or $x3763 $x16553 $x11615 $x11633))) (= $x19408 $x19906)))) +(let ((@x19916 (monotonicity (monotonicity @x19910 (= (not $x19408) $x19911)) (= (or (not $x19408) $x19413) $x19914)))) +(let ((@x19925 (monotonicity (monotonicity (monotonicity @x19916 (= $x19428 $x19917)) (= $x19433 $x19920)) (= (not $x19433) $x19923)))) +(let ((@x19931 (monotonicity (monotonicity @x19925 (= (or $x11612 (not $x19433)) $x19926)) (= $x19441 $x19929)))) +(let ((@x19937 (monotonicity (monotonicity @x19931 (= $x19446 $x19932)) (= (not $x19446) $x19935)))) +(let ((@x19940 (monotonicity @x19937 (= (or $x15611 $x15614 $x19452 $x19453 $x19454 $x19455 (not $x19446)) $x19938)))) +(let ((@x19949 (monotonicity (monotonicity (monotonicity @x19940 (= $x19458 $x19941)) (= $x19463 $x19944)) (= $x19475 $x19947)))) +(let ((@x19982 (monotonicity @x19949 (= (or $x11515 $x19501 $x19512 $x19513 $x19474 $x19455 $x19475) $x19980)))) +(let ((@x19952 (monotonicity @x19949 (= (or $x15590 $x15599 $x19469 $x19470 $x19471 $x19472 $x19473 $x19474 $x19455 $x19475) $x19950)))) +(let ((@x19961 (monotonicity (monotonicity (monotonicity @x19952 (= $x19477 $x19953)) (= $x19482 $x19956)) (= (not $x19482) $x19959)))) +(let ((@x19967 (monotonicity (monotonicity @x19961 (= (or $x15590 $x15593 (not $x19482)) $x19962)) (= $x19490 $x19965)))) +(let ((@x19973 (monotonicity (monotonicity @x19967 (= $x19495 $x19968)) (= (not $x19495) $x19971)))) +(let ((@x19979 (monotonicity (monotonicity @x19973 (= (or $x11516 $x19474 $x19501 (not $x19495)) $x19974)) (= $x19504 $x19977)))) +(let ((@x19988 (monotonicity @x19979 (monotonicity @x19982 (= $x19515 $x19983)) (= $x19520 $x19986)))) +(let ((@x19994 (monotonicity (monotonicity @x19988 (= (not $x19520) $x19989)) (= (or $x15590 $x15599 $x19474 $x19501 (not $x19520)) $x19992)))) +(let ((@x20003 (monotonicity (monotonicity (monotonicity @x19994 (= $x19528 $x19995)) (= $x19533 $x19998)) (= (not $x19533) $x20001)))) +(let ((@x20009 (monotonicity (monotonicity @x20003 (= (or $x15590 $x15593 (not $x19533)) $x20004)) (= $x19541 $x20007)))) +(let ((@x20015 (monotonicity (monotonicity @x20009 (= $x19546 $x20010)) (= (not $x19546) $x20013)))) +(let ((@x20021 (monotonicity (monotonicity @x20015 (= (or $x11486 $x19474 $x19501 (not $x19546)) $x20016)) (= $x19554 $x20019)))) +(let ((@x20073 (monotonicity (monotonicity @x20021 @x20067 (= $x19661 $x20068)) (= (not $x19661) $x20071)))) +(let ((@x19902 (quant-intro (refl (= (or $x3763 $x16553 $x11871 $x11889) (or $x3763 $x16553 $x11871 $x11889))) (= $x19362 $x19898)))) +(let ((@x20076 (monotonicity (monotonicity @x19902 (= (not $x19362) $x19903)) @x20073 (= $x19685 $x20074)))) +(let ((@x20085 (monotonicity (monotonicity (monotonicity @x20076 (= $x19686 $x20077)) (= $x19691 $x20080)) (= (not $x19691) $x20083)))) +(let ((@x19894 (quant-intro (refl (= (or $x3763 $x16553 $x11388 $x11404) (or $x3763 $x16553 $x11388 $x11404))) (= $x19340 $x19890)))) +(let ((@x20088 (monotonicity (monotonicity @x19894 (= (not $x19340) $x19895)) @x20085 (= (or (not $x19340) (not $x19691)) $x20086)))) +(let ((@x20097 (monotonicity (monotonicity (monotonicity @x20088 (= $x19700 $x20089)) (= $x19705 $x20092)) (= (not $x19705) $x20095)))) +(let ((@x20103 (monotonicity (monotonicity @x20097 (= (or $x11385 (not $x19705)) $x20098)) (= $x19713 $x20101)))) +(let ((@x20109 (monotonicity (monotonicity @x20103 (= $x19718 $x20104)) (= (not $x19718) $x20107)))) +(let ((@x20112 (monotonicity @x20109 (= (or $x15502 $x15511 $x19724 $x19725 $x19726 $x19727 (not $x19718)) $x20110)))) +(let ((@x20121 (monotonicity (monotonicity (monotonicity @x20112 (= $x19730 $x20113)) (= $x19735 $x20116)) (= (not $x19735) $x20119)))) +(let ((@x20127 (monotonicity (monotonicity @x20121 (= (or $x15502 $x15505 (not $x19735)) $x20122)) (= $x19743 $x20125)))) +(let ((@x20133 (monotonicity (monotonicity @x20127 (= $x19748 $x20128)) (= (not $x19748) $x20131)))) +(let ((@x20139 (monotonicity (monotonicity @x20133 (= (or $x11221 (not $x19748)) $x20134)) (= $x19756 $x20137)))) +(let (($x15761 (forall ((?v0 Int) )(! 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(let ((?x6636 (b_S_typ$ ?v0))) +(let (($x7865 (= ?x6636 ?v1))) +(let (($x9596 (b_S_is$ ?v0 ?v1))) +(= $x9596 $x7865)))) :qid k!623)) +)) +(let ((@x9622 (mp (asserted $x9611) (quant-intro (rewrite (= (= $x9596 $x7865) $x9614)) (= $x9611 $x9617)) $x9617))) +(let ((@x19833 (mp (mp~ @x9622 (nnf-pos (refl (~ $x9614 $x9614)) (~ $x9617 $x9617)) $x9617) (quant-intro (refl (= $x9614 $x9614)) (= $x9617 $x19828)) $x19828))) +(let (($x22002 (not $x19828))) +(let (($x22619 (or $x22002 $x22522))) +(let ((@x22534 ((_ quant-inst (b_S_idx$ ?x10078 0 b_T_T_u1$) b_T_T_u1$) $x22619))) +(let ((@x22471 (unit-resolution (def-axiom (or (not $x22522) $x10138 $x22526)) (hypothesis $x15502) (or (not $x22522) $x22526)))) +(let ((@x22636 (unit-resolution (unit-resolution @x22471 (unit-resolution @x22534 @x19833 $x22522) $x22526) (trans @x22640 (unit-resolution @x21182 @x19846 $x21176) $x22515) false))) +(let ((@x23411 (lemma @x22636 $x10138))) +(let ((@x23982 (unit-resolution (def-axiom (or $x20131 $x15502 $x15505 $x20125)) @x23411 @x24003 (or $x15505 $x20125)))) +(let ((@x23983 (unit-resolution @x23982 (unit-resolution (def-axiom (or $x22603 $x10139)) (lemma @x24453 $x22604) $x10139) $x20125))) +(let ((?x22805 (b_S_ts_n_emb$ ?x22478))) +(let ((?x22433 (b_S_owner$ v_b_S_s$ ?x22805))) +(let (($x22451 (= ?x22433 b_S_me$))) +(let ((?x22485 (b_S_ref$ ?x10137))) +(let ((?x22505 (b_S_ptr$ b_T_T_u1$ ?x22485))) +(let (($x22506 (= ?x10137 ?x22505))) +(let (($x24124 (or $x21994 $x15502 $x22506))) +(let ((@x24271 (mp ((_ quant-inst (b_S_idx$ ?x10078 0 b_T_T_u1$) b_T_T_u1$) (or $x21994 (or $x15502 $x22506))) (rewrite (= (or $x21994 (or $x15502 $x22506)) $x24124)) $x24124))) +(let ((@x23969 (unit-resolution @x24271 @x15336 @x23411 $x22506))) +(let ((?x23622 (b_S_ref$ ?x21983))) +(let ((?x23636 (b_S_ptr$ b_T_T_u1$ ?x23622))) +(let ((?x23613 (b_S_idx$ ?x21983 0 b_T_T_u1$))) +(let (($x23639 (= ?x23613 ?x23636))) +(let (($x23642 (not $x23639))) +(let (($x23614 (b_S_extent_n_hint$ ?x23613 ?x21983))) +(let (($x23621 (not $x23614))) +(let (($x23645 (or $x23621 $x23642))) +(let (($x23648 (not $x23645))) +(let (($x23651 (or $x22568 $x23648))) +(let (($x23628 (not (or $x23621 (not (= ?x23613 (b_S_ptr$ b_T_T_u1$ (+ ?x23622 ?x22537)))))))) +(let (($x23646 (= (or $x23621 (not (= ?x23613 (b_S_ptr$ b_T_T_u1$ (+ ?x23622 ?x22537))))) $x23645))) +(let ((@x22545 (rewrite (= ?x22537 0)))) +(let ((@x23635 (trans (monotonicity @x22545 (= (+ ?x23622 ?x22537) (+ ?x23622 0))) (rewrite (= (+ ?x23622 0) ?x23622)) (= (+ ?x23622 ?x22537) ?x23622)))) +(let ((@x23641 (monotonicity (monotonicity @x23635 (= (b_S_ptr$ b_T_T_u1$ (+ ?x23622 ?x22537)) ?x23636)) (= (= ?x23613 (b_S_ptr$ b_T_T_u1$ (+ ?x23622 ?x22537))) $x23639)))) +(let ((@x23644 (monotonicity @x23641 (= (not (= ?x23613 (b_S_ptr$ b_T_T_u1$ (+ ?x23622 ?x22537)))) $x23642)))) +(let ((@x23655 (monotonicity (monotonicity (monotonicity @x23644 $x23646) (= $x23628 $x23648)) (= (or $x22568 $x23628) $x23651)))) +(let ((@x23659 (mp ((_ quant-inst (b_S_ptr$ ?x10076 ?x21014) 0 b_T_T_u1$) (or $x22568 $x23628)) (trans @x23655 (rewrite (= $x23651 $x23651)) (= (or $x22568 $x23628) $x23651)) $x23651))) +(let ((@x23663 (def-axiom (or $x23645 $x23639)))) +(let ((@x24001 (unit-resolution @x23663 (lemma (unit-resolution @x23659 @x18183 (hypothesis $x23645) false) $x23648) $x23639))) +(let ((?x23546 (b_S_idx$ ?x22595 0 b_T_T_u1$))) +(let ((?x23547 (b_S_select_o_tm$ ?x10272 ?x23546))) +(let ((?x23548 (b_S_ts_n_emb$ ?x23547))) +(let (($x23549 (= ?x23548 ?x22595))) +(let (($x23554 (b_S_typed$ v_b_S_s$ ?x23546))) +(let (($x23555 (not $x23554))) +(let (($x23551 (b_S_ts_n_is_n_volatile$ ?x23547))) +(let (($x23550 (not $x23549))) +(let (($x23556 (or $x23550 $x23551 (not (b_S_ts_n_is_n_array_n_elt$ ?x23547)) $x23555))) +(let (($x23557 (not $x23556))) +(let (($x23538 (b_S_typed$ v_b_S_s$ ?x22595))) +(let ((@x23606 (mp @x12045 (symm (monotonicity @x23680 (= $x23538 $x10085)) (= $x10085 $x23538)) $x23538))) +(let ((@x23608 (lemma (unit-resolution (hypothesis (not $x23538)) @x23606 false) $x23538))) +(let (($x17964 (forall ((?v0 B_S_state$) (?v1 Int) (?v2 B_S_ctype$) (?v3 Int) (?v4 Int) )(! (let (($x6905 (b_S_typed$ ?v0 (b_S_idx$ (b_S_ptr$ (b_S_array$ ?v2 ?v3) ?v1) ?v4 ?v2)))) +(let ((?x6897 (b_S_typemap$ ?v0))) +(let ((?x6899 (b_S_select_o_tm$ ?x6897 (b_S_idx$ (b_S_ptr$ (b_S_array$ ?v2 ?v3) ?v1) ?v4 ?v2)))) +(let (($x6904 (b_S_ts_n_is_n_array_n_elt$ ?x6899))) +(let (($x17952 (or (not (= (b_S_ts_n_emb$ ?x6899) (b_S_ptr$ (b_S_array$ ?v2 ?v3) ?v1))) (b_S_ts_n_is_n_volatile$ ?x6899) (not $x6904) (not $x6905)))) +(let (($x17953 (not $x17952))) +(let (($x4862 (>= (+ ?v4 (* (- 1) ?v3)) 0))) +(let (($x2815 (>= ?v4 0))) +(let (($x3763 (not $x2815))) +(or (not (b_S_typed$ ?v0 (b_S_ptr$ (b_S_array$ ?v2 ?v3) ?v1))) $x3763 $x4862 $x17953)))))))))) :pattern ( (b_S_select_o_sm$ (b_S_statusmap$ ?v0) (b_S_idx$ (b_S_ptr$ ?v2 ?v1) ?v4 ?v2)) (b_S_ptr$ (b_S_array$ ?v2 ?v3) ?v1) ) :pattern ( (b_S_select_o_tm$ (b_S_typemap$ ?v0) (b_S_idx$ (b_S_ptr$ ?v2 ?v1) ?v4 ?v2)) (b_S_ptr$ (b_S_array$ ?v2 ?v3) ?v1) ) :qid k!493)) +)) +(let (($x6943 (forall ((?v0 B_S_state$) (?v1 Int) (?v2 B_S_ctype$) (?v3 Int) (?v4 Int) )(! (let (($x6905 (b_S_typed$ ?v0 (b_S_idx$ (b_S_ptr$ (b_S_array$ ?v2 ?v3) ?v1) ?v4 ?v2)))) +(let ((?x6897 (b_S_typemap$ ?v0))) +(let ((?x6899 (b_S_select_o_tm$ ?x6897 (b_S_idx$ (b_S_ptr$ (b_S_array$ ?v2 ?v3) ?v1) ?v4 ?v2)))) +(let (($x6904 (b_S_ts_n_is_n_array_n_elt$ ?x6899))) +(let ((?x6894 (b_S_ptr$ (b_S_array$ ?v2 ?v3) ?v1))) +(let (($x6901 (= (b_S_ts_n_emb$ ?x6899) ?x6894))) +(let (($x6937 (and $x6901 (not (b_S_ts_n_is_n_volatile$ ?x6899)) $x6904 $x6905))) +(let (($x4862 (>= (+ ?v4 (* (- 1) ?v3)) 0))) +(let (($x6603 (not $x4862))) +(let (($x2815 (>= ?v4 0))) +(let (($x6895 (b_S_typed$ ?v0 ?x6894))) +(let (($x6929 (and $x6895 $x2815 $x6603))) +(let (($x6934 (not $x6929))) +(or $x6934 $x6937)))))))))))))) :pattern ( (b_S_select_o_sm$ (b_S_statusmap$ ?v0) (b_S_idx$ (b_S_ptr$ ?v2 ?v1) ?v4 ?v2)) (b_S_ptr$ (b_S_array$ ?v2 ?v3) ?v1) ) :pattern ( (b_S_select_o_tm$ (b_S_typemap$ ?v0) (b_S_idx$ (b_S_ptr$ ?v2 ?v1) ?v4 ?v2)) (b_S_ptr$ (b_S_array$ ?v2 ?v3) ?v1) ) :qid k!493)) +)) +(let (($x6905 (b_S_typed$ ?4 (b_S_idx$ (b_S_ptr$ (b_S_array$ ?2 ?1) ?3) ?0 ?2)))) +(let ((?x6897 (b_S_typemap$ ?4))) +(let ((?x6899 (b_S_select_o_tm$ ?x6897 (b_S_idx$ (b_S_ptr$ (b_S_array$ ?2 ?1) ?3) ?0 ?2)))) +(let (($x6904 (b_S_ts_n_is_n_array_n_elt$ ?x6899))) +(let (($x17952 (or (not (= (b_S_ts_n_emb$ ?x6899) (b_S_ptr$ (b_S_array$ ?2 ?1) ?3))) (b_S_ts_n_is_n_volatile$ ?x6899) (not $x6904) (not $x6905)))) +(let (($x17953 (not $x17952))) +(let (($x4862 (>= (+ ?0 (* (- 1) ?1)) 0))) +(let (($x17959 (or (not (b_S_typed$ ?4 (b_S_ptr$ (b_S_array$ ?2 ?1) ?3))) $x3763 $x4862 $x17953))) +(let ((?x6894 (b_S_ptr$ (b_S_array$ ?2 ?1) ?3))) +(let (($x6901 (= (b_S_ts_n_emb$ ?x6899) ?x6894))) +(let (($x6937 (and $x6901 (not (b_S_ts_n_is_n_volatile$ ?x6899)) $x6904 $x6905))) +(let (($x6603 (not $x4862))) +(let (($x6895 (b_S_typed$ ?4 ?x6894))) +(let (($x6929 (and $x6895 $x2815 $x6603))) +(let (($x6934 (not $x6929))) +(let (($x6940 (or $x6934 $x6937))) +(let (($x17938 (or (not $x6895) $x3763 $x4862))) +(let ((@x17944 (monotonicity (rewrite (= $x6929 (not $x17938))) (= $x6934 (not (not $x17938)))))) +(let ((@x17958 (monotonicity (trans @x17944 (rewrite (= (not (not $x17938)) $x17938)) (= $x6934 $x17938)) (rewrite (= $x6937 $x17953)) (= $x6940 (or $x17938 $x17953))))) +(let ((@x17966 (quant-intro (trans @x17958 (rewrite (= (or $x17938 $x17953) $x17959)) (= $x6940 $x17959)) (= $x6943 $x17964)))) +(let (($x6917 (forall ((?v0 B_S_state$) (?v1 Int) (?v2 B_S_ctype$) (?v3 Int) (?v4 Int) )(! (let (($x6905 (b_S_typed$ ?v0 (b_S_idx$ (b_S_ptr$ (b_S_array$ ?v2 ?v3) ?v1) ?v4 ?v2)))) +(let ((?x6897 (b_S_typemap$ ?v0))) +(let ((?x6899 (b_S_select_o_tm$ ?x6897 (b_S_idx$ (b_S_ptr$ (b_S_array$ ?v2 ?v3) ?v1) ?v4 ?v2)))) +(let (($x6904 (b_S_ts_n_is_n_array_n_elt$ ?x6899))) +(let ((?x6894 (b_S_ptr$ (b_S_array$ ?v2 ?v3) ?v1))) +(let (($x6901 (= (b_S_ts_n_emb$ ?x6899) ?x6894))) +(let (($x6908 (and $x6901 (and (not (b_S_ts_n_is_n_volatile$ ?x6899)) (and $x6904 $x6905))))) +(let (($x2766 (<= 0 ?v4))) +(let (($x6566 (and $x2766 (< ?v4 ?v3)))) +(let (($x6895 (b_S_typed$ ?v0 ?x6894))) +(let (($x6896 (and $x6895 $x6566))) +(=> $x6896 $x6908)))))))))))) :pattern ( (b_S_select_o_sm$ (b_S_statusmap$ ?v0) (b_S_idx$ (b_S_ptr$ ?v2 ?v1) ?v4 ?v2)) (b_S_ptr$ (b_S_array$ ?v2 ?v3) ?v1) ) :pattern ( (b_S_select_o_tm$ (b_S_typemap$ ?v0) (b_S_idx$ (b_S_ptr$ ?v2 ?v1) ?v4 ?v2)) (b_S_ptr$ (b_S_array$ ?v2 ?v3) ?v1) ) :qid k!493)) +)) +(let (($x6923 (forall ((?v0 B_S_state$) (?v1 Int) (?v2 B_S_ctype$) (?v3 Int) (?v4 Int) )(! (let (($x6905 (b_S_typed$ ?v0 (b_S_idx$ (b_S_ptr$ (b_S_array$ ?v2 ?v3) ?v1) ?v4 ?v2)))) +(let ((?x6897 (b_S_typemap$ ?v0))) +(let ((?x6899 (b_S_select_o_tm$ ?x6897 (b_S_idx$ (b_S_ptr$ (b_S_array$ ?v2 ?v3) ?v1) ?v4 ?v2)))) +(let (($x6904 (b_S_ts_n_is_n_array_n_elt$ ?x6899))) +(let ((?x6894 (b_S_ptr$ (b_S_array$ ?v2 ?v3) ?v1))) +(let (($x6901 (= (b_S_ts_n_emb$ ?x6899) ?x6894))) +(let (($x6908 (and $x6901 (and (not (b_S_ts_n_is_n_volatile$ ?x6899)) (and $x6904 $x6905))))) +(let (($x2766 (<= 0 ?v4))) +(let (($x6566 (and $x2766 (< ?v4 ?v3)))) +(let (($x6895 (b_S_typed$ ?v0 ?x6894))) +(let (($x6896 (and $x6895 $x6566))) +(or (not $x6896) $x6908)))))))))))) :pattern ( (b_S_select_o_sm$ (b_S_statusmap$ ?v0) (b_S_idx$ (b_S_ptr$ ?v2 ?v1) ?v4 ?v2)) (b_S_ptr$ (b_S_array$ ?v2 ?v3) ?v1) ) :pattern ( (b_S_select_o_tm$ (b_S_typemap$ ?v0) (b_S_idx$ (b_S_ptr$ ?v2 ?v1) ?v4 ?v2)) (b_S_ptr$ (b_S_array$ ?v2 ?v3) ?v1) ) :qid k!493)) +)) +(let (($x6908 (and $x6901 (and (not (b_S_ts_n_is_n_volatile$ ?x6899)) (and $x6904 $x6905))))) +(let (($x6920 (or (not (and $x6895 (and $x2766 (< ?0 ?1)))) $x6908))) +(let (($x6566 (and $x2766 (< ?0 ?1)))) +(let (($x6896 (and $x6895 $x6566))) +(let ((@x6608 (monotonicity @x2814 (rewrite (= (< ?0 ?1) $x6603)) (= $x6566 (and $x2815 $x6603))))) +(let ((@x6933 (trans (monotonicity @x6608 (= $x6896 (and $x6895 (and $x2815 $x6603)))) (rewrite (= (and $x6895 (and $x2815 $x6603)) $x6929)) (= $x6896 $x6929)))) +(let ((@x6942 (monotonicity (monotonicity @x6933 (= (not $x6896) $x6934)) (rewrite (= $x6908 $x6937)) (= $x6920 $x6940)))) +(let ((@x6947 (trans (quant-intro (rewrite (= (=> $x6896 $x6908) $x6920)) (= $x6917 $x6923)) (quant-intro @x6942 (= $x6923 $x6943)) (= $x6917 $x6943)))) +(let ((@x14355 (mp~ (mp (asserted $x6917) @x6947 $x6943) (nnf-pos (refl (~ $x6940 $x6940)) (~ $x6943 $x6943)) $x6943))) +(let ((@x17967 (mp @x14355 @x17966 $x17964))) +(let (($x23539 (not $x23538))) +(let (($x23587 (not $x17964))) +(let (($x23588 (or $x23587 $x23539 $x11259 $x23557))) 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+