TSTP Solution File: SWW676_1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWW676_1 : TPTP v8.1.2. Released v6.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 00:21:55 EDT 2023
% Result : Theorem 48.46s 48.83s
% Output : Proof 48.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW676_1 : TPTP v8.1.2. Released v6.4.0.
% 0.00/0.12 % Command : do_cvc5 %s %d
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Aug 27 19:24:13 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.47 %----Proving TF0_ARI
% 48.46/48.83 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.WB4BbtxY9P/cvc5---1.0.5_5813.p...
% 48.46/48.83 ------- get file name : TPTP file name is SWW676_1
% 48.46/48.83 ------- cvc5-tfa : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_5813.smt2...
% 48.46/48.83 --- Run --finite-model-find --decision=internal at 15...
% 48.46/48.83 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 48.46/48.83 --- Run --no-e-matching --full-saturate-quant at 15...
% 48.46/48.83 --- Run --cegqi-all --purify-triggers --full-saturate-quant at 15...
% 48.46/48.83 --- Run --macros-quant --macros-quant-mode=all --nl-ext-tplanes --full-saturate-quant...
% 48.46/48.83 % SZS status Theorem for SWW676_1
% 48.46/48.83 % SZS output start Proof for SWW676_1
% 48.46/48.83 (
% 48.46/48.83 (let ((_let_1 (not (forall ((L Int) (U Int) (A |tptp.'Array[Int,Int]'|) (E Int)) (let ((_let_1 (> L U))) (let ((_let_2 (tptp.length A))) (=> (and (<= 0 L) (< U _let_2) (tptp.sorted A 0 (- _let_2 1))) (= (and (=> _let_1 false) (=> (not _let_1) (exists ((M_2 Int)) (let ((_let_1 (|tptp.'select:(Array[Int,Int]*Int)>Int'| A M_2))) (let ((_let_2 (< _let_1 E))) (let ((_let_3 (= _let_1 E))) (and (= M_2 (tptp.div2 (+ L U))) (=> _let_3 true) (=> (not _let_3) (and (=> _let_2 (exists ((L_4 Int)) (and (= L_4 (+ M_2 1)) (exists ((I Int)) (and (<= L_4 I) (<= I U) (= (|tptp.'select:(Array[Int,Int]*Int)>Int'| A I) E)))))) (=> (not _let_2) (exists ((U_6 Int)) (and (= U_6 (- M_2 1)) (exists ((I Int)) (and (<= L I) (<= I U_6) (= (|tptp.'select:(Array[Int,Int]*Int)>Int'| A I) E))))))))))))))) (exists ((I Int)) (and (<= L I) (<= I U) (= (|tptp.'select:(Array[Int,Int]*Int)>Int'| A I) E))))))))))) (let ((_let_2 (forall ((A |tptp.'Array[Int,Int]'|) (L Int) (U Int)) (= (tptp.sorted A L U) (forall ((I Int) (J Int)) (=> (and (<= L I) (< I J) (<= J U)) (<= (|tptp.'select:(Array[Int,Int]*Int)>Int'| A I) (|tptp.'select:(Array[Int,Int]*Int)>Int'| A J)))))))) (let ((_let_3 (forall ((A Int) (Res Int)) (= (and (<= (* 2 Res) A) (> (* 2 (+ Res 1)) A)) (= (tptp.div2 A) Res))))) (let ((_let_4 (forall ((I Int)) (or (not (>= (+ I (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) 0)) (>= (+ I (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) 1) (not (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 (|tptp.'select:(Array[Int,Int]*Int)>Int'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 I))))))) (let ((_let_5 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 (|tptp.'select:(Array[Int,Int]*Int)>Int'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)))) (let ((_let_6 (not _let_5))) (let ((_let_7 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42))) (let ((_let_8 (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_7) 0))) (let ((_let_9 (not _let_8))) (let ((_let_10 (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_7) 1))) (let ((_let_11 (or _let_10 _let_9 _let_6))) (let ((_let_12 (forall ((BOUND_VARIABLE_1110 Int)) (or (not (>= (+ BOUND_VARIABLE_1110 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) 0)) (>= (+ BOUND_VARIABLE_1110 (* (- 1) (tptp.div2 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) 0) (not (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 (|tptp.'select:(Array[Int,Int]*Int)>Int'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 BOUND_VARIABLE_1110))))))) (let ((_let_13 (not _let_12))) (let ((_let_14 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_15 (tptp.div2 _let_14))) (let ((_let_16 (|tptp.'select:(Array[Int,Int]*Int)>Int'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_15))) (let ((_let_17 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 (* (- 1) _let_16)))) (let ((_let_18 (>= _let_17 1))) (let ((_let_19 (or _let_18 _let_13))) (let ((_let_20 (forall ((BOUND_VARIABLE_1092 Int)) (or (not (>= (+ BOUND_VARIABLE_1092 (* (- 1) (tptp.div2 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) 1)) (>= (+ BOUND_VARIABLE_1092 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) 1) (not (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 (|tptp.'select:(Array[Int,Int]*Int)>Int'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 BOUND_VARIABLE_1092))))))) (let ((_let_21 (not _let_20))) (let ((_let_22 (not _let_18))) (let ((_let_23 (or _let_22 _let_21))) (let ((_let_24 (and _let_23 _let_19))) (let ((_let_25 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_16))) (let ((_let_26 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_27 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_26))) (let ((_let_28 (>= _let_27 1))) (let ((_let_29 (or _let_28 _let_25 _let_24))) (let ((_let_30 (not _let_28))) (let ((_let_31 (and _let_30 _let_29))) (let ((_let_32 (not _let_4))) (let ((_let_33 (= _let_32 _let_31))) (let ((_let_34 (|tptp.'select:(Array[Int,Int]*Int)>Int'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_35 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_34))) (let ((_let_36 (not _let_35))) (let ((_let_37 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_38 (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_37) 0))) (let ((_let_39 (not _let_38))) (let ((_let_40 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_37))) (let ((_let_41 (>= _let_40 1))) (let ((_let_42 (or _let_41 _let_39 _let_36))) (let ((_let_43 (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 0))) (let ((_let_44 (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 0))) (let ((_let_45 (tptp.length SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_46 (* (- 1) _let_45))) (let ((_let_47 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_46))) (let ((_let_48 (>= _let_47 0))) (let ((_let_49 (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_46) 0))) (let ((_let_50 (>= _let_14 0))) (let ((_let_51 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (* (- 2) _let_15)))) (let ((_let_52 (>= _let_51 0))) (let ((_let_53 (* (- 1) _let_15))) (let ((_let_54 (+ _let_45 _let_53))) (let ((_let_55 (>= _let_54 1))) (let ((_let_56 (>= _let_51 2))) (let ((_let_57 (>= _let_15 0))) (let ((_let_58 (* (- 1) _let_34))) (let ((_let_59 (+ _let_16 _let_58))) (let ((_let_60 (>= _let_59 1))) (let ((_let_61 (not _let_60))) (let ((_let_62 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_53))) (let ((_let_63 (>= _let_62 1))) (let ((_let_64 (not _let_63))) (let ((_let_65 (not _let_57))) (let ((_let_66 (or _let_65 _let_64 _let_49 _let_61))) (let ((_let_67 (>= _let_62 0))) (let ((_let_68 (or _let_41 _let_67 _let_36))) (let ((_let_69 (forall ((I Int) (J Int)) (or (not (>= I 0)) (>= (+ I (* (- 1) J)) 0) (>= (+ J (* (- 1) (tptp.length SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) 0) (not (>= (+ (|tptp.'select:(Array[Int,Int]*Int)>Int'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 I) (* (- 1) (|tptp.'select:(Array[Int,Int]*Int)>Int'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 J))) 1)))))) (let ((_let_70 (not _let_69))) (let ((_let_71 (not _let_43))) (let ((_let_72 (or _let_71 _let_48 _let_70 _let_33))) (let ((_let_73 (forall ((L Int) (U Int) (A |tptp.'Array[Int,Int]'|) (E Int)) (let ((_let_1 (|tptp.'select:(Array[Int,Int]*Int)>Int'| A (tptp.div2 (+ L U))))) (let ((_let_2 (>= (+ E (* (- 1) _let_1)) 1))) (let ((_let_3 (>= (+ L (* (- 1) U)) 1))) (or (not (>= L 0)) (>= (+ U (* (- 1) (tptp.length A))) 0) (not (forall ((I Int) (J Int)) (or (not (>= I 0)) (>= (+ I (* (- 1) J)) 0) (>= (+ J (* (- 1) (tptp.length A))) 0) (not (>= (+ (|tptp.'select:(Array[Int,Int]*Int)>Int'| A I) (* (- 1) (|tptp.'select:(Array[Int,Int]*Int)>Int'| A J))) 1))))) (= (not (forall ((I Int)) (let ((_let_1 (* (- 1) I))) (or (>= (+ L _let_1) 1) (not (>= (+ U _let_1) 0)) (not (= E (|tptp.'select:(Array[Int,Int]*Int)>Int'| A I))))))) (and (not _let_3) (or _let_3 (= E _let_1) (and (or (not _let_2) (not (forall ((BOUND_VARIABLE_1092 Int)) (or (not (>= (+ BOUND_VARIABLE_1092 (* (- 1) (tptp.div2 (+ L U)))) 1)) (not (>= (+ U (* (- 1) BOUND_VARIABLE_1092)) 0)) (not (= E (|tptp.'select:(Array[Int,Int]*Int)>Int'| A BOUND_VARIABLE_1092))))))) (or _let_2 (not (forall ((BOUND_VARIABLE_1110 Int)) (or (>= (+ L (* (- 1) BOUND_VARIABLE_1110)) 1) (>= (+ BOUND_VARIABLE_1110 (* (- 1) (tptp.div2 (+ L U)))) 0) (not (= E (|tptp.'select:(Array[Int,Int]*Int)>Int'| A BOUND_VARIABLE_1110)))))))))))))))))) (let ((_let_74 (not _let_72))) (let ((_let_75 (EQ_RESOLVE (ASSUME :args (_let_1)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.sorted (lambda ((BOUND_VARIABLE_1174 |tptp.'Array[Int,Int]'|) (BOUND_VARIABLE_1175 Int) (BOUND_VARIABLE_1176 Int)) (forall ((I Int) (J Int)) (let ((_let_1 (* (- 1) J))) (or (>= (+ BOUND_VARIABLE_1175 (* (- 1) I)) 1) (>= (+ I _let_1) 0) (not (>= (+ BOUND_VARIABLE_1176 _let_1) 0)) (not (>= (+ (|tptp.'select:(Array[Int,Int]*Int)>Int'| BOUND_VARIABLE_1174 I) (* (- 1) (|tptp.'select:(Array[Int,Int]*Int)>Int'| BOUND_VARIABLE_1174 J))) 1))))))))) :args ((not (forall ((L Int) (U Int) (A |tptp.'Array[Int,Int]'|) (E Int)) (let ((_let_1 (|tptp.'select:(Array[Int,Int]*Int)>Int'| A (tptp.div2 (+ L U))))) (let ((_let_2 (>= (+ E (* (- 1) _let_1)) 1))) (let ((_let_3 (>= (+ L (* (- 1) U)) 1))) (let ((_let_4 (tptp.length A))) (or (not (>= L 0)) (>= (+ U (* (- 1) _let_4)) 0) (not (tptp.sorted A 0 (+ (- 1) _let_4))) (= (not (forall ((I Int)) (let ((_let_1 (* (- 1) I))) (or (>= (+ L _let_1) 1) (not (>= (+ U _let_1) 0)) (not (= E (|tptp.'select:(Array[Int,Int]*Int)>Int'| A I))))))) (and (not _let_3) (or _let_3 (= E _let_1) (and (or (not _let_2) (not (forall ((BOUND_VARIABLE_1092 Int)) (or (not (>= (+ BOUND_VARIABLE_1092 (* (- 1) (tptp.div2 (+ L U)))) 1)) (not (>= (+ U (* (- 1) BOUND_VARIABLE_1092)) 0)) (not (= E (|tptp.'select:(Array[Int,Int]*Int)>Int'| A BOUND_VARIABLE_1092))))))) (or _let_2 (not (forall ((BOUND_VARIABLE_1110 Int)) (or (>= (+ L (* (- 1) BOUND_VARIABLE_1110)) 1) (>= (+ BOUND_VARIABLE_1110 (* (- 1) (tptp.div2 (+ L U)))) 0) (not (= E (|tptp.'select:(Array[Int,Int]*Int)>Int'| A BOUND_VARIABLE_1110)))))))))))))))))) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_76 (or))) (let ((_let_77 (not _let_73))) (let ((_let_78 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_75) :args (_let_77)) (REWRITE :args ((=> _let_77 (not (or _let_71 _let_48 _let_70 (= (not (forall ((I Int)) (let ((_let_1 (* (- 1) I))) (or (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_1) 1) (not (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_1) 0)) (not (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 (|tptp.'select:(Array[Int,Int]*Int)>Int'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 I))))))) (and _let_30 (or _let_28 _let_25 (and (or _let_22 (not (forall ((BOUND_VARIABLE_1092 Int)) (or (not (>= (+ BOUND_VARIABLE_1092 (* (- 1) (tptp.div2 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) 1)) (not (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (* (- 1) BOUND_VARIABLE_1092)) 0)) (not (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 (|tptp.'select:(Array[Int,Int]*Int)>Int'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 BOUND_VARIABLE_1092))))))) (or _let_18 (not (forall ((BOUND_VARIABLE_1110 Int)) (or (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (* (- 1) BOUND_VARIABLE_1110)) 1) (>= (+ BOUND_VARIABLE_1110 (* (- 1) (tptp.div2 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) 0) (not (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 (|tptp.'select:(Array[Int,Int]*Int)>Int'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 BOUND_VARIABLE_1110)))))))))))))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_77) _let_73))) (REFL :args (_let_74)) :args _let_76)) _let_75 :args (_let_74 true _let_73)))) (let ((_let_79 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_72 3)) _let_78 :args ((not _let_33) true _let_72)))) (let ((_let_80 (not _let_31))) (let ((_let_81 (MACRO_SR_PRED_INTRO :args ((= (not _let_32) _let_4))))) (let ((_let_82 (_let_33))) (let ((_let_83 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_84 (_let_32))) (let ((_let_85 (not _let_41))) (let ((_let_86 (REFL :args (_let_42)))) (let ((_let_87 (REFL :args (_let_72)))) (let ((_let_88 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_72 0)) (CONG _let_87 (MACRO_SR_PRED_INTRO :args ((= (not _let_71) _let_43))) :args _let_76)) :args ((or _let_43 _let_72))) _let_78 :args (_let_43 true _let_72)))) (let ((_let_89 (not _let_44))) (let ((_let_90 (MACRO_SR_PRED_INTRO :args ((= (not _let_85) _let_41))))) (let ((_let_91 (<= _let_40 0))) (let ((_let_92 (_let_91))) (let ((_let_93 (false))) (let ((_let_94 (1.0 (- 1.0) 1.0))) (let ((_let_95 (ASSUME :args (_let_89)))) (let ((_let_96 (ASSUME :args (_let_43)))) (let ((_let_97 (< _let_40 1))) (let ((_let_98 (_let_97))) (let ((_let_99 (ASSUME :args (_let_85)))) (let ((_let_100 (MACRO_SR_PRED_TRANSFORM _let_99 :args _let_98))) (let ((_let_101 (_let_30))) (let ((_let_102 (ASSUME :args (_let_38)))) (let ((_let_103 (ASSUME :args (_let_28)))) (let ((_let_104 (not _let_48))) (let ((_let_105 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_72 1)) _let_78 :args (_let_104 true _let_72)))) (let ((_let_106 ((- 1.0) 1.0 (- 1.0)))) (let ((_let_107 (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM (ASSUME :args (_let_104)) :args ((< _let_47 0)))))) (let ((_let_108 (_let_49))) (let ((_let_109 (not _let_29))) (let ((_let_110 (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_28))))) (let ((_let_111 (_let_31))) (let ((_let_112 (not _let_50))) (let ((_let_113 (ASSUME :args _let_101))) (let ((_let_114 (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM _let_113 :args ((< _let_27 1)))))) (let ((_let_115 ((< _let_14 0)))) (let ((_let_116 (_let_112))) (let ((_let_117 (not _let_56))) (let ((_let_118 (and _let_52 _let_117))) (let ((_let_119 (forall ((A Int) (Res Int)) (let ((_let_1 (+ A (* (- 2) Res)))) (= (and (>= _let_1 0) (not (>= _let_1 2))) (= Res (tptp.div2 A))))))) (let ((_let_120 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_121 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_120 :args (_let_14 _let_15 QUANTIFIERS_INST_ENUM)) :args (_let_119)))) _let_120 :args (_let_118 false _let_119)))) (let ((_let_122 (not _let_118))) (let ((_let_123 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_118 0)) :args ((or _let_52 _let_122))) _let_121 :args (_let_52 false _let_118)))) (let ((_let_124 (not _let_52))) (let ((_let_125 (not _let_55))) (let ((_let_126 (_let_52))) (let ((_let_127 (ASSUME :args _let_126))) (let ((_let_128 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_118 1)) :args ((or _let_117 _let_122))) _let_121 :args (_let_117 false _let_118)))) (let ((_let_129 (MACRO_SR_PRED_INTRO :args ((= (not _let_117) _let_56))))) (let ((_let_130 (_let_50))) (let ((_let_131 (ASSUME :args (_let_65)))) (let ((_let_132 (ASSUME :args (_let_117)))) (let ((_let_133 (MACRO_SR_PRED_TRANSFORM _let_132 :args ((< _let_51 2))))) (let ((_let_134 (ASSUME :args _let_130))) (let ((_let_135 (>= _let_59 0))) (let ((_let_136 (or _let_89 _let_67 _let_125 _let_135))) (let ((_let_137 (or _let_64 _let_39 _let_36))) (let ((_let_138 (not _let_135))) (let ((_let_139 (ASSUME :args (_let_35)))) (let ((_let_140 (MACRO_SR_PRED_TRANSFORM _let_139 :args ((= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_58) 0))))) (let ((_let_141 (_let_135))) (let ((_let_142 (CNF_AND_NEG :args (_let_24)))) (let ((_let_143 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_72 2)) (CONG _let_87 (MACRO_SR_PRED_INTRO :args ((= (not _let_70) _let_69))) :args _let_76)) :args ((or _let_69 _let_72))) _let_78 :args (_let_69 true _let_72)))) (let ((_let_144 (_let_69))) (let ((_let_145 ((|tptp.'select:(Array[Int,Int]*Int)>Int'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 I) (|tptp.'select:(Array[Int,Int]*Int)>Int'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 J)))) (let ((_let_146 (ASSUME :args _let_144))) (let ((_let_147 (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_20))))) (let ((_let_148 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(MACRO_SR_PRED_INTRO :args ((= (not _let_205) _let_191))) (MACRO_SR_PRED_INTRO :args ((= (not _let_197) _let_196))) :args _let_76)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_204 (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_203) (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM _let_204 :args ((< _let_172 1)))) :args ((- 1.0) 1.0)) :args _let_93) :args _let_203) :args _let_202) :args _let_201) :args _let_180)) :args _let_180)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_178) _let_173))) (REFL :args _let_201) :args _let_76)) _let_184 :args (_let_200 true _let_173)) _let_123 (REORDERING (CNF_OR_POS :args (_let_198)) :args ((or _let_189 _let_193 _let_197 (not _let_198)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_177 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_44 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_176)) :args _let_175))) _let_161 :args (_let_198 false _let_4)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_194 2)) (CONG (REFL :args (_let_194)) (MACRO_SR_PRED_INTRO :args ((= (not _let_189) _let_188))) :args _let_76)) :args ((or _let_188 _let_194))) (CNF_OR_NEG :args (_let_194 1)) (REORDERING (CNF_OR_NEG :args (_let_194 0)) :args ((or (not _let_193) _let_194))) :args (_let_194 true _let_199 false _let_52 true _let_196 false _let_198 false _let_188 true _let_191 true _let_193)) :args (_let_12 false _let_194)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_24 1)) :args ((or _let_19 _let_187))) _let_186 :args (_let_19 false _let_24)) :args (_let_18 false _let_12 false _let_19)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_24 0)) :args ((or _let_23 _let_187))) _let_186 :args (_let_23 false _let_24)) :args (_let_21 false _let_18 false _let_23)) :args (_let_169 true _let_20)))) (let ((_let_213 (REFL :args (_let_168)))) (let ((_let_214 (_let_10))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_177 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_176)) :args _let_175))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_11)) :args ((or _let_6 _let_9 _let_10 _let_162))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_168 2)) (CONG _let_213 (MACRO_SR_PRED_INTRO :args ((= (not _let_6) _let_5))) :args _let_76)) :args ((or _let_5 _let_168))) _let_212 :args (_let_5 true _let_168)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_168 1)) (CONG _let_213 (MACRO_SR_PRED_INTRO :args ((= (not _let_9) _let_8))) :args _let_76)) :args ((or _let_8 _let_168))) _let_212 :args (_let_8 true _let_168)) (MACRO_RESOLUTION_TRUST (MACRO_SR_PRED_TRANSFORM (NOT_AND (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (MACRO_SR_PRED_TRANSFORM (ASSUME :args _let_214) :args _let_214) (ASSUME :args (_let_165)) (INT_TIGHT_UB _let_133) (ASSUME :args (_let_163)) :args ((- 1.0) (- 1.0) 1.0 (- 1.0))) :args _let_93) :args (_let_165 _let_117 _let_163 _let_10))) :args ((or _let_171 _let_56 _let_167 _let_166))) _let_185 _let_128 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_168 0)) (CONG _let_213 (MACRO_SR_PRED_INTRO :args ((= (not _let_167) _let_163))) :args _let_76)) :args ((or _let_163 _let_168))) _let_212 :args (_let_163 true _let_168)) :args (_let_166 false _let_165 true _let_56 false _let_163)) :args (_let_162 false _let_5 false _let_8 true _let_10)) _let_161 :args (false true _let_11 false _let_4)) :args ((forall ((A |tptp.'Array[Int,Int]'|) (I Int) (E Int)) (= (|tptp.'select:(Array[Int,Int]*Int)>Int'| (|tptp.'store:(Array[Int,Int]*Int*Int)>Array[Int,Int]'| A I E) I) E)) (forall ((A |tptp.'Array[Int,Int]'|) (I Int) (J Int) (E Int)) (=> (not (= I J)) (= (|tptp.'select:(Array[Int,Int]*Int)>Int'| (|tptp.'store:(Array[Int,Int]*Int*Int)>Array[Int,Int]'| A I E) J) (|tptp.'select:(Array[Int,Int]*Int)>Int'| A J)))) (forall ((A |tptp.'Array[Int,Int]'|) (B |tptp.'Array[Int,Int]'|)) (=> (forall ((I Int)) (= (|tptp.'select:(Array[Int,Int]*Int)>Int'| A I) (|tptp.'select:(Array[Int,Int]*Int)>Int'| B I))) (= A B))) (forall ((I Int) (E Int)) (= (|tptp.'select:(Array[Int,Int]*Int)>Int'| (|tptp.'const:(Int)>Array[Int,Int]'| E) I) E)) _let_3 (forall ((A |tptp.'Array[Int,Int]'|)) (>= (tptp.length A) 0)) _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 48.46/48.83 )
% 48.46/48.83 % SZS output end Proof for SWW676_1
% 48.46/48.83 % cvc5---1.0.5 exiting
% 48.46/48.84 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------