TSTP Solution File: SWV125+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWV125+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n011.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 : Thu Aug 31 21:49:24 EDT 2023
% Result : Theorem 0.61s 0.84s
% Output : Proof 0.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.14 % Problem : SWV125+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.15/0.15 % Command : do_cvc5 %s %d
% 0.16/0.36 % Computer : n011.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Tue Aug 29 05:36:26 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.22/0.52 %----Proving TF0_NAR, FOF, or CNF
% 0.61/0.84 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.Xun1KsinPb/cvc5---1.0.5_13304.p...
% 0.61/0.84 ------- get file name : TPTP file name is SWV125+1
% 0.61/0.84 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_13304.smt2...
% 0.61/0.84 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.61/0.84 % SZS status Theorem for SWV125+1
% 0.61/0.84 % SZS output start Proof for SWV125+1
% 0.61/0.84 (
% 0.61/0.84 (let ((_let_1 (tptp.succ tptp.n0))) (let ((_let_2 (tptp.succ _let_1))) (let ((_let_3 (tptp.succ _let_2))) (let ((_let_4 (= _let_3 tptp.n3))) (let ((_let_5 (tptp.succ _let_3))) (let ((_let_6 (tptp.succ _let_5))) (let ((_let_7 (tptp.succ _let_6))) (let ((_let_8 (= _let_7 tptp.n6))) (let ((_let_9 (= _let_6 tptp.n5))) (let ((_let_10 (= _let_5 tptp.n4))) (let ((_let_11 (tptp.gt tptp.n7 tptp.n3))) (let ((_let_12 (tptp.gt tptp.n5 tptp.n3))) (let ((_let_13 (tptp.gt tptp.n4 tptp.n3))) (let ((_let_14 (tptp.gt tptp.n3 tptp.n2))) (let ((_let_15 (tptp.gt tptp.n7 tptp.n2))) (let ((_let_16 (tptp.gt tptp.n5 tptp.n2))) (let ((_let_17 (tptp.gt tptp.n3 tptp.n1))) (let ((_let_18 (tptp.gt tptp.n7 tptp.n1))) (let ((_let_19 (tptp.gt tptp.n5 tptp.n1))) (let ((_let_20 (tptp.gt tptp.n3 tptp.n0))) (let ((_let_21 (tptp.gt tptp.n2 tptp.n0))) (let ((_let_22 (tptp.gt tptp.n1 tptp.n0))) (let ((_let_23 (tptp.gt tptp.n6 tptp.n0))) (let ((_let_24 (tptp.gt tptp.n5 tptp.n0))) (let ((_let_25 (tptp.gt tptp.n4 tptp.n0))) (let ((_let_26 (tptp.gt tptp.n7 tptp.n6))) (let ((_let_27 (tptp.gt tptp.n7 tptp.n5))) (let ((_let_28 (tptp.gt tptp.n6 tptp.n5))) (let ((_let_29 (tptp.gt tptp.n7 tptp.n4))) (let ((_let_30 (tptp.gt tptp.n5 tptp.n4))) (let ((_let_31 (tptp.gt tptp.n1000 tptp.n588))) (let ((_let_32 (tptp.minus tptp.n1000 tptp.n1))) (let ((_let_33 (tptp.geq _let_32 tptp.n0))) (let ((_let_34 (tptp.minus tptp.n4 tptp.n1))) (let ((_let_35 (tptp.geq _let_34 tptp.n0))) (let ((_let_36 (not (=> (and _let_35 _let_33) (forall ((A $$unsorted)) (=> (and (tptp.geq tptp.n7 tptp.n0) (tptp.geq (tptp.minus tptp.n1000 tptp.n1) tptp.n0)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.minus tptp.n1000 tptp.n1))) (let ((_let_2 (tptp.minus tptp.n4 tptp.n1))) (let ((_let_3 (tptp.minus tptp.n6 tptp.n1))) (let ((_let_4 (tptp.geq _let_3 tptp.n0))) (let ((_let_5 (tptp.leq tptp.pv5 tptp.n588))) (let ((_let_6 (tptp.leq tptp.n0 tptp.pv5))) (let ((_let_7 (and _let_6 _let_5))) (let ((_let_8 (tptp.leq tptp.pv5 _let_1))) (let ((_let_9 (tptp.leq tptp.n7 tptp.n7))) (let ((_let_10 (tptp.leq tptp.n6 tptp.n7))) (let ((_let_11 (tptp.leq tptp.n5 _let_3))) (let ((_let_12 (tptp.leq tptp.n5 tptp.n7))) (let ((_let_13 (tptp.leq tptp.n4 _let_3))) (let ((_let_14 (tptp.leq tptp.n4 tptp.n7))) (let ((_let_15 (tptp.leq tptp.n3 _let_3))) (let ((_let_16 (tptp.leq tptp.n3 _let_2))) (let ((_let_17 (tptp.leq tptp.n3 tptp.n7))) (let ((_let_18 (tptp.leq tptp.n2 _let_3))) (let ((_let_19 (tptp.leq tptp.n2 _let_2))) (let ((_let_20 (tptp.leq tptp.n2 tptp.n7))) (let ((_let_21 (tptp.leq tptp.n1 _let_3))) (let ((_let_22 (tptp.leq tptp.n1 _let_2))) (let ((_let_23 (tptp.leq tptp.n1 tptp.n7))) (let ((_let_24 (tptp.leq tptp.n0 _let_3))) (let ((_let_25 (tptp.leq tptp.n0 _let_2))) (let ((_let_26 (tptp.leq tptp.n0 tptp.n7))) (let ((_let_27 (tptp.leq tptp.n0 tptp.n6))) (let ((_let_28 (tptp.leq tptp.n0 tptp.n5))) (let ((_let_29 (tptp.leq tptp.n0 tptp.n4))) (let ((_let_30 (tptp.leq tptp.n0 tptp.n3))) (let ((_let_31 (tptp.leq tptp.n0 tptp.n2))) (let ((_let_32 (tptp.leq tptp.n0 tptp.n1))) (let ((_let_33 (tptp.leq tptp.n0 tptp.n0))) (let ((_let_34 (tptp.gt tptp.pv5 tptp.n0))) (let ((_let_35 (=> _let_34 (and _let_33 _let_32 _let_31 _let_30 _let_29 _let_28 _let_27 _let_26 _let_6 _let_25 _let_24 _let_23 _let_22 _let_21 _let_20 _let_19 _let_18 _let_17 _let_16 _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_5 _let_8)))) (let ((_let_36 (not _let_34))) (let ((_let_37 (=> _let_36 (and _let_33 _let_32 _let_31 _let_30 _let_29 _let_28 _let_27 _let_26 _let_6 _let_24 _let_23 _let_21 _let_20 _let_18 _let_17 _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_5 _let_8)))) (let ((_let_38 (=> _let_34 (and _let_33 _let_32 _let_31 _let_30 _let_6 _let_25 _let_22 _let_19 _let_16 _let_8 _let_37 _let_35)))) (let ((_let_39 (=> _let_36 (and _let_37 _let_35)))) (let ((_let_40 (=> _let_34 (and _let_33 _let_32 _let_31 _let_30 _let_29 _let_28 _let_27 _let_26 _let_6 _let_24 _let_23 _let_20 _let_17 _let_15 _let_14 _let_12 _let_10 _let_9 _let_8 _let_39 _let_38)))) (let ((_let_41 (=> _let_36 (and _let_39 _let_38)))) (let ((_let_42 (tptp.leq tptp.pv31 _let_3))) (let ((_let_43 (tptp.leq tptp.n0 tptp.pv31))) (let ((_let_44 (and _let_6 _let_43 _let_5 _let_42))) (let ((_let_45 (and _let_6 _let_43 (tptp.leq tptp.n0 tptp.pv32) _let_5 _let_42 (tptp.leq tptp.pv32 _let_3)))) (let ((_let_46 (= tptp.pv31 tptp.pv32))) (let ((_let_47 (tptp.leq tptp.pv21 _let_3))) (let ((_let_48 (tptp.leq tptp.n0 tptp.pv21))) (and (=> tptp.true tptp.true) (=> tptp.true (and _let_33 _let_32 _let_31 _let_30 _let_29 _let_28 _let_27 _let_26 _let_25 _let_24 (tptp.leq tptp.n0 _let_1) _let_23 _let_22 _let_21 _let_20 _let_19 _let_18 _let_17 _let_16 _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_9)) (=> (and _let_6 _let_48 _let_5 _let_47) (and _let_33 _let_6 _let_48 _let_5 (tptp.leq tptp.pv21 tptp.n5) _let_47)) (=> _let_45 (and (=> (not _let_46) _let_45) (=> _let_46 _let_45))) (=> _let_44 _let_44) (=> _let_44 _let_7) (=> _let_7 tptp.true) (=> _let_7 (and _let_33 _let_32 _let_31 _let_30 _let_6 _let_25 _let_24 _let_22 _let_21 _let_19 _let_18 _let_16 _let_8 (=> _let_36 (and _let_41 _let_40)) (=> _let_34 (and _let_33 _let_32 _let_31 _let_30 _let_29 _let_28 _let_27 _let_26 _let_6 _let_24 _let_23 _let_21 _let_20 _let_18 _let_17 _let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 _let_41 _let_40)))) (=> _let_7 _let_7) (=> (and (tptp.leq tptp.n0 tptp.pv23) (tptp.leq tptp.pv23 _let_3)) (=> (tptp.leq tptp.n0 (tptp.a_select2 tptp.sigma tptp.pv23)) tptp.true)) (=> _let_4 (=> _let_4 (=> (and (tptp.geq _let_2 tptp.n0) (tptp.geq _let_1 tptp.n0)) tptp.true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (let ((_let_37 (forall ((X $$unsorted)) (= (tptp.pred (tptp.succ X)) X)))) (let ((_let_38 (forall ((X $$unsorted)) (= (tptp.minus X tptp.n1) (tptp.pred X))))) (let ((_let_39 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.leq X (tptp.pred Y)) (tptp.gt Y X))))) (let ((_let_40 (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.gt Y X) (tptp.leq X Y))))) (let ((_let_41 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.geq X Y) (tptp.leq Y X))))) (let ((_let_42 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.leq X Y) (tptp.leq Y Z)) (tptp.leq X Z))))) (let ((_let_43 (forall ((X $$unsorted)) (tptp.leq X X)))) (let ((_let_44 (tptp.leq tptp.pv5 tptp.n588))) (let ((_let_45 (not _let_44))) (let ((_let_46 (tptp.leq tptp.n0 tptp.pv5))) (let ((_let_47 (not _let_46))) (let ((_let_48 (or _let_47 _let_45 tptp.true))) (let ((_let_49 (tptp.minus tptp.n6 tptp.n1))) (let ((_let_50 (or (not (tptp.leq tptp.n0 tptp.pv23)) (not (tptp.leq tptp.pv23 _let_49)) (not (tptp.leq tptp.n0 (tptp.a_select2 tptp.sigma tptp.pv23))) tptp.true))) (let ((_let_51 (not _let_33))) (let ((_let_52 (not _let_35))) (let ((_let_53 (or (not (tptp.geq _let_49 tptp.n0)) _let_52 _let_51 tptp.true))) (let ((_let_54 (and _let_46 _let_44))) (let ((_let_55 (or _let_47 _let_45 _let_54))) (let ((_let_56 (tptp.leq tptp.pv21 _let_49))) (let ((_let_57 (tptp.leq tptp.pv21 tptp.n5))) (let ((_let_58 (tptp.leq tptp.n0 tptp.pv21))) (let ((_let_59 (tptp.leq tptp.n0 tptp.n0))) (let ((_let_60 (and _let_59 _let_46 _let_58 _let_44 _let_57 _let_56))) (let ((_let_61 (not _let_56))) (let ((_let_62 (not _let_58))) (let ((_let_63 (or _let_47 _let_62 _let_45 _let_61 _let_60))) (let ((_let_64 (tptp.leq tptp.pv31 _let_49))) (let ((_let_65 (not _let_64))) (let ((_let_66 (tptp.leq tptp.n0 tptp.pv31))) (let ((_let_67 (not _let_66))) (let ((_let_68 (or _let_47 _let_67 _let_45 _let_65 _let_54))) (let ((_let_69 (and _let_46 _let_66 _let_44 _let_64))) (let ((_let_70 (or _let_47 _let_67 _let_45 _let_65 _let_69))) (let ((_let_71 (tptp.leq tptp.n7 tptp.n7))) (let ((_let_72 (tptp.leq tptp.n6 tptp.n7))) (let ((_let_73 (tptp.leq tptp.n5 _let_49))) (let ((_let_74 (tptp.leq tptp.n5 tptp.n7))) (let ((_let_75 (tptp.leq tptp.n4 _let_49))) (let ((_let_76 (tptp.leq tptp.n4 tptp.n7))) (let ((_let_77 (tptp.leq tptp.n3 _let_49))) (let ((_let_78 (tptp.leq tptp.n3 _let_34))) (let ((_let_79 (tptp.leq tptp.n3 tptp.n7))) (let ((_let_80 (tptp.leq tptp.n2 _let_49))) (let ((_let_81 (tptp.leq tptp.n2 _let_34))) (let ((_let_82 (tptp.leq tptp.n2 tptp.n7))) (let ((_let_83 (tptp.leq tptp.n1 _let_49))) (let ((_let_84 (tptp.leq tptp.n1 _let_34))) (let ((_let_85 (tptp.leq tptp.n1 tptp.n7))) (let ((_let_86 (tptp.leq tptp.n0 _let_32))) (let ((_let_87 (tptp.leq tptp.n0 _let_49))) (let ((_let_88 (tptp.leq tptp.n0 _let_34))) (let ((_let_89 (tptp.leq tptp.n0 tptp.n7))) (let ((_let_90 (tptp.leq tptp.n0 tptp.n6))) (let ((_let_91 (tptp.leq tptp.n0 tptp.n5))) (let ((_let_92 (tptp.leq tptp.n0 tptp.n4))) (let ((_let_93 (tptp.leq tptp.n0 tptp.n3))) (let ((_let_94 (tptp.leq tptp.n0 tptp.n2))) (let ((_let_95 (tptp.leq tptp.n0 tptp.n1))) (let ((_let_96 (and _let_59 _let_95 _let_94 _let_93 _let_92 _let_91 _let_90 _let_89 _let_88 _let_87 _let_86 _let_85 _let_84 _let_83 _let_82 _let_81 _let_80 _let_79 _let_78 _let_77 _let_76 _let_75 _let_74 _let_73 _let_72 _let_71))) (let ((_let_97 (or (not tptp.true) _let_96))) (let ((_let_98 (tptp.leq tptp.pv32 _let_49))) (let ((_let_99 (tptp.leq tptp.n0 tptp.pv32))) (let ((_let_100 (and _let_46 _let_66 _let_99 _let_44 _let_64 _let_98))) (let ((_let_101 (= tptp.pv31 tptp.pv32))) (let ((_let_102 (or (not _let_101) _let_100))) (let ((_let_103 (or _let_101 _let_100))) (let ((_let_104 (and _let_103 _let_102))) (let ((_let_105 (not _let_98))) (let ((_let_106 (not _let_99))) (let ((_let_107 (or _let_47 _let_67 _let_106 _let_45 _let_65 _let_105 _let_104))) (let ((_let_108 (tptp.leq tptp.pv5 _let_32))) (let ((_let_109 (and _let_59 _let_95 _let_94 _let_93 _let_92 _let_91 _let_90 _let_89 _let_46 _let_88 _let_87 _let_85 _let_84 _let_83 _let_82 _let_81 _let_80 _let_79 _let_78 _let_77 _let_76 _let_75 _let_74 _let_73 _let_72 _let_71 _let_44 _let_108))) (let ((_let_110 (tptp.gt tptp.pv5 tptp.n0))) (let ((_let_111 (not _let_110))) (let ((_let_112 (or _let_111 _let_109))) (let ((_let_113 (and _let_59 _let_95 _let_94 _let_93 _let_92 _let_91 _let_90 _let_89 _let_46 _let_87 _let_85 _let_83 _let_82 _let_80 _let_79 _let_77 _let_76 _let_75 _let_74 _let_73 _let_72 _let_71 _let_44 _let_108))) (let ((_let_114 (or _let_110 _let_113))) (let ((_let_115 (and _let_59 _let_95 _let_94 _let_93 _let_46 _let_88 _let_84 _let_81 _let_78 _let_108 _let_114 _let_112))) (let ((_let_116 (or _let_111 _let_115))) (let ((_let_117 (and _let_114 _let_112))) (let ((_let_118 (or _let_110 _let_117))) (let ((_let_119 (and _let_59 _let_95 _let_94 _let_93 _let_92 _let_91 _let_90 _let_89 _let_46 _let_87 _let_85 _let_82 _let_79 _let_77 _let_76 _let_74 _let_72 _let_71 _let_108 _let_118 _let_116))) (let ((_let_120 (or _let_111 _let_119))) (let ((_let_121 (and _let_118 _let_116))) (let ((_let_122 (or _let_110 _let_121))) (let ((_let_123 (and _let_59 _let_95 _let_94 _let_93 _let_92 _let_91 _let_90 _let_89 _let_46 _let_87 _let_85 _let_83 _let_82 _let_80 _let_79 _let_76 _let_75 _let_74 _let_73 _let_72 _let_71 _let_108 _let_122 _let_120))) (let ((_let_124 (or _let_111 _let_123))) (let ((_let_125 (and _let_122 _let_120))) (let ((_let_126 (or _let_110 _let_125))) (let ((_let_127 (and _let_59 _let_95 _let_94 _let_93 _let_46 _let_88 _let_87 _let_84 _let_83 _let_81 _let_80 _let_78 _let_108 _let_126 _let_124))) (let ((_let_128 (or _let_47 _let_45 _let_127))) (let ((_let_129 (ASSUME :args (tptp.true)))) (let ((_let_130 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_48 2)) _let_129 :args (_let_48 false tptp.true)))) (let ((_let_131 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_50 3)) _let_129 :args (_let_50 false tptp.true)))) (let ((_let_132 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_53 3)) _let_129 :args (_let_53 false tptp.true)))) (let ((_let_133 (or))) (let ((_let_134 (MACRO_SR_PRED_INTRO :args ((= (not _let_47) _let_46))))) (let ((_let_135 (REFL :args (_let_55)))) (let ((_let_136 (MACRO_SR_PRED_INTRO :args ((= (not _let_45) _let_44))))) (let ((_let_137 (not _let_54))) (let ((_let_138 (CNF_AND_NEG :args (_let_54)))) (let ((_let_139 (MACRO_RESOLUTION_TRUST _let_138 (REORDERING (CNF_OR_NEG :args (_let_55 2)) :args ((or _let_137 _let_55))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_55 1)) (CONG _let_135 _let_136 :args _let_133)) :args ((or _let_44 _let_55))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_55 0)) (CONG _let_135 _let_134 :args _let_133)) :args ((or _let_46 _let_55))) :args (_let_55 true _let_54 false _let_44 false _let_46)))) (let ((_let_140 (tptp.pred tptp.n1000))) (let ((_let_141 (tptp.leq tptp.n588 _let_140))) (let ((_let_142 (tptp.leq tptp.pv5 _let_140))) (let ((_let_143 (not _let_141))) (let ((_let_144 (or _let_45 _let_143 _let_142))) (let ((_let_145 (= _let_32 _let_140))) (let ((_let_146 (= _let_31 _let_141))) (let ((_let_147 (_let_39))) (let ((_let_148 (ASSUME :args _let_147))) (let ((_let_149 ((tptp.gt Y X)))) (let ((_let_150 (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_148 :args (tptp.n588 tptp.n1000 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_149)) :args _let_147))))) (let ((_let_151 (ASSUME :args (_let_31)))) (let ((_let_152 (REORDERING (CNF_EQUIV_POS1 :args (_let_146)) :args ((or (not _let_31) _let_141 (not _let_146)))))) (let ((_let_153 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.leq X Y)) (not (tptp.leq Y Z)) (tptp.leq X Z))))) (let ((_let_154 (EQ_RESOLVE (ASSUME :args (_let_42)) (MACRO_SR_EQ_INTRO :args (_let_42 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_155 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_154 :args (tptp.pv5 tptp.n588 _let_140 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.leq X Y) false)) (not (= (tptp.leq Y Z) false))))) :args (_let_153))))) (let ((_let_156 (REORDERING (CNF_OR_POS :args (_let_144)) :args ((or _let_45 _let_143 _let_142 (not _let_144)))))) (let ((_let_157 (REFL :args (_let_63)))) (let ((_let_158 (REFL :args (_let_107)))) (let ((_let_159 (REFL :args (_let_70)))) (let ((_let_160 (REFL :args (_let_68)))) (let ((_let_161 (REFL :args (_let_128)))) (let ((_let_162 (_let_43))) (let ((_let_163 (ASSUME :args 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(tptp.a_select3 A J I)))) (forall ((I $$unsorted) (J $$unsorted)) (=> (and (tptp.leq tptp.n0 I) (tptp.leq I N) (tptp.leq tptp.n0 J) (tptp.leq J N)) (= (tptp.a_select3 B I J) (tptp.a_select3 B J I))))) (forall ((I $$unsorted) (J $$unsorted)) (let ((_let_1 (tptp.tptp_madd A B))) (=> (and (tptp.leq tptp.n0 I) (tptp.leq I N) (tptp.leq tptp.n0 J) (tptp.leq J N)) (= (tptp.a_select3 _let_1 I J) (tptp.a_select3 _let_1 J I))))))) (forall ((A $$unsorted) (B $$unsorted) (N $$unsorted)) (=> (and (forall ((I $$unsorted) (J $$unsorted)) (=> (and (tptp.leq tptp.n0 I) (tptp.leq I N) (tptp.leq tptp.n0 J) (tptp.leq J N)) (= (tptp.a_select3 A I J) (tptp.a_select3 A J I)))) (forall ((I $$unsorted) (J $$unsorted)) (=> (and (tptp.leq tptp.n0 I) (tptp.leq I N) (tptp.leq tptp.n0 J) (tptp.leq J N)) (= (tptp.a_select3 B I J) (tptp.a_select3 B J I))))) (forall ((I $$unsorted) (J $$unsorted)) (let ((_let_1 (tptp.tptp_msub A B))) (=> (and (tptp.leq tptp.n0 I) (tptp.leq I N) (tptp.leq tptp.n0 J) (tptp.leq J N)) (= 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(tptp.succ X)))))) (forall ((X $$unsorted)) (= (tptp.plus X tptp.n5) (tptp.succ (tptp.succ (tptp.succ (tptp.succ (tptp.succ X))))))) (forall ((X $$unsorted)) (= (tptp.plus tptp.n5 X) (tptp.succ (tptp.succ (tptp.succ (tptp.succ (tptp.succ X))))))) _let_38 _let_37 (forall ((X $$unsorted)) (= (tptp.succ (tptp.pred X)) X)) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.leq (tptp.succ X) (tptp.succ Y)) (tptp.leq X Y))) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.leq (tptp.succ X) Y) (tptp.gt Y X))) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.leq (tptp.minus X Y) X) (tptp.leq tptp.n0 Y))) (forall ((X $$unsorted) (U $$unsorted) (V $$unsorted) (VAL $$unsorted)) (= (tptp.a_select3 (tptp.tptp_update3 X U V VAL) U V) VAL)) (forall ((I $$unsorted) (J $$unsorted) (U $$unsorted) (V $$unsorted) (X $$unsorted) (VAL $$unsorted) (VAL2 $$unsorted)) (=> (and (not (= I U)) (= J V) (= (tptp.a_select3 X U V) VAL)) (= (tptp.a_select3 (tptp.tptp_update3 X I J VAL2) U V) VAL))) (forall ((I $$unsorted) (J $$unsorted) (U $$unsorted) (V $$unsorted) (X $$unsorted) (VAL $$unsorted)) (=> (and (forall ((I0 $$unsorted) (J0 $$unsorted)) (=> (and (tptp.leq tptp.n0 I0) (tptp.leq tptp.n0 J0) (tptp.leq I0 U) (tptp.leq J0 V)) (= (tptp.a_select3 X I0 J0) VAL))) (tptp.leq tptp.n0 I) (tptp.leq I U) (tptp.leq tptp.n0 J) (tptp.leq J V)) (= (tptp.a_select3 (tptp.tptp_update3 X U V VAL) I J) VAL))) (forall ((X $$unsorted) (U $$unsorted) (VAL $$unsorted)) (= (tptp.a_select2 (tptp.tptp_update2 X U VAL) U) VAL)) (forall ((I $$unsorted) (U $$unsorted) (X $$unsorted) (VAL $$unsorted) (VAL2 $$unsorted)) (=> (and (not (= I U)) (= (tptp.a_select2 X U) VAL)) (= (tptp.a_select2 (tptp.tptp_update2 X I VAL2) U) VAL))) (forall ((I $$unsorted) (U $$unsorted) (X $$unsorted) (VAL $$unsorted)) (=> (and (forall ((I0 $$unsorted)) (=> (and (tptp.leq tptp.n0 I0) (tptp.leq I0 U)) (= (tptp.a_select2 X I0) VAL))) (tptp.leq tptp.n0 I) (tptp.leq I U)) (= (tptp.a_select2 (tptp.tptp_update2 X U VAL) I) VAL))) tptp.true (not (= tptp.def tptp.use)) _let_36 _let_31 (tptp.gt tptp.n588 tptp.n4) _let_30 (tptp.gt tptp.n6 tptp.n4) _let_29 (tptp.gt tptp.n1000 tptp.n4) (tptp.gt tptp.n588 tptp.n5) _let_28 _let_27 (tptp.gt tptp.n1000 tptp.n5) (tptp.gt tptp.n588 tptp.n6) _let_26 (tptp.gt tptp.n1000 tptp.n6) (tptp.gt tptp.n588 tptp.n7) (tptp.gt tptp.n1000 tptp.n7) (tptp.gt tptp.n588 tptp.tptp_minus_1) (tptp.gt tptp.n4 tptp.tptp_minus_1) (tptp.gt tptp.n5 tptp.tptp_minus_1) (tptp.gt tptp.n6 tptp.tptp_minus_1) (tptp.gt tptp.n7 tptp.tptp_minus_1) (tptp.gt tptp.n0 tptp.tptp_minus_1) (tptp.gt tptp.n1 tptp.tptp_minus_1) (tptp.gt tptp.n2 tptp.tptp_minus_1) (tptp.gt tptp.n1000 tptp.tptp_minus_1) (tptp.gt tptp.n3 tptp.tptp_minus_1) (tptp.gt tptp.n588 tptp.n0) _let_25 _let_24 _let_23 (tptp.gt tptp.n7 tptp.n0) _let_22 _let_21 (tptp.gt tptp.n1000 tptp.n0) _let_20 (tptp.gt tptp.n588 tptp.n1) (tptp.gt tptp.n4 tptp.n1) _let_19 (tptp.gt tptp.n6 tptp.n1) _let_18 (tptp.gt tptp.n2 tptp.n1) (tptp.gt tptp.n1000 tptp.n1) _let_17 (tptp.gt tptp.n588 tptp.n2) (tptp.gt tptp.n4 tptp.n2) _let_16 (tptp.gt tptp.n6 tptp.n2) _let_15 (tptp.gt tptp.n1000 tptp.n2) _let_14 (tptp.gt tptp.n588 tptp.n3) _let_13 _let_12 (tptp.gt tptp.n6 tptp.n3) _let_11 (tptp.gt tptp.n1000 tptp.n3) (forall ((X $$unsorted)) (=> (and (tptp.leq tptp.n0 X) (tptp.leq X tptp.n4)) (or (= X tptp.n0) (= X tptp.n1) (= X tptp.n2) (= X tptp.n3) (= X tptp.n4)))) (forall ((X $$unsorted)) (=> (and (tptp.leq tptp.n0 X) (tptp.leq X tptp.n5)) (or (= X tptp.n0) (= X tptp.n1) (= X tptp.n2) (= X tptp.n3) (= X tptp.n4) (= X tptp.n5)))) (forall ((X $$unsorted)) (=> (and (tptp.leq tptp.n0 X) (tptp.leq X tptp.n6)) (or (= X tptp.n0) (= X tptp.n1) (= X tptp.n2) (= X tptp.n3) (= X tptp.n4) (= X tptp.n5) (= X tptp.n6)))) (forall ((X $$unsorted)) (=> (and (tptp.leq tptp.n0 X) (tptp.leq X tptp.n0)) (= X tptp.n0))) (forall ((X $$unsorted)) (=> (and (tptp.leq tptp.n0 X) (tptp.leq X tptp.n1)) (or (= X tptp.n0) (= X tptp.n1)))) (forall ((X $$unsorted)) (=> (and (tptp.leq tptp.n0 X) (tptp.leq X tptp.n2)) (or (= X tptp.n0) (= X tptp.n1) (= X tptp.n2)))) (forall ((X $$unsorted)) (=> (and (tptp.leq tptp.n0 X) (tptp.leq X tptp.n3)) (or (= X tptp.n0) (= X tptp.n1) (= X tptp.n2) (= X tptp.n3)))) _let_10 _let_9 _let_8 (= _let_1 tptp.n1) (= _let_2 tptp.n2) _let_4 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.61/0.85 )
% 0.61/0.85 % SZS output end Proof for SWV125+1
% 0.61/0.85 % cvc5---1.0.5 exiting
% 0.61/0.85 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------