TSTP Solution File: NUM476+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NUM476+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n010.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 10:44:16 EDT 2023
% Result : Theorem 25.62s 25.89s
% Output : Proof 25.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.14 % Problem : NUM476+1 : TPTP v8.1.2. Released v4.0.0.
% 0.14/0.15 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n010.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri Aug 25 08:59:20 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.21/0.50 %----Proving TF0_NAR, FOF, or CNF
% 25.62/25.89 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.uPgPPp2wWG/cvc5---1.0.5_4475.p...
% 25.62/25.89 ------- get file name : TPTP file name is NUM476+1
% 25.62/25.89 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_4475.smt2...
% 25.62/25.89 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 25.62/25.89 --- Run --no-e-matching --full-saturate-quant at 5...
% 25.62/25.89 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 25.62/25.89 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.62/25.89 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 25.62/25.89 % SZS status Theorem for NUM476+1
% 25.62/25.89 % SZS output start Proof for NUM476+1
% 25.62/25.89 (
% 25.62/25.89 (let ((_let_1 (tptp.doDivides0 tptp.xl tptp.xn))) (let ((_let_2 (not (=> (=> (not (= tptp.xl tptp.sz00)) (exists ((W0 $$unsorted)) (and (= W0 (tptp.sdtsldt0 tptp.xm tptp.xl)) (exists ((W1 $$unsorted)) (and (= W1 (tptp.sdtsldt0 (tptp.sdtpldt0 tptp.xm tptp.xn) tptp.xl)) (tptp.sdtlseqdt0 W0 W1) (exists ((W2 $$unsorted)) (let ((_let_1 (tptp.sdtasdt0 tptp.xl W2))) (let ((_let_2 (tptp.sdtasdt0 tptp.xl W0))) (and (= W2 (tptp.sdtmndt0 W1 W0)) (= (tptp.sdtpldt0 _let_2 _let_1) (tptp.sdtpldt0 _let_2 tptp.xn)) (= tptp.xn _let_1)))))))))) _let_1)))) (let ((_let_3 (tptp.sdtpldt0 tptp.xm tptp.xn))) (let ((_let_4 (tptp.doDivides0 tptp.xl _let_3))) (let ((_let_5 (tptp.doDivides0 tptp.xl tptp.xm))) (let ((_let_6 (and _let_5 _let_4))) (let ((_let_7 (tptp.aNaturalNumber0 tptp.xn))) (let ((_let_8 (tptp.aNaturalNumber0 tptp.xm))) (let ((_let_9 (tptp.aNaturalNumber0 tptp.xl))) (let ((_let_10 (and _let_9 _let_8 _let_7))) (let ((_let_11 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (and (not (= W0 tptp.sz00)) (tptp.doDivides0 W0 W1)) (forall ((W2 $$unsorted)) (= (= W2 (tptp.sdtsldt0 W1 W0)) (and (tptp.aNaturalNumber0 W2) (= W1 (tptp.sdtasdt0 W0 W2)))))))))) (let ((_let_12 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (= (tptp.doDivides0 W0 W1) (exists ((W2 $$unsorted)) (and (tptp.aNaturalNumber0 W2) (= W1 (tptp.sdtasdt0 W0 W2))))))))) (let ((_let_13 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (tptp.sdtlseqdt0 W0 W1) (forall ((W2 $$unsorted)) (= (= W2 (tptp.sdtmndt0 W1 W0)) (and (tptp.aNaturalNumber0 W2) (= (tptp.sdtpldt0 W0 W2) W1))))))))) (let ((_let_14 (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (and (= (tptp.sdtasdt0 W0 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 W0))))))) (let ((_let_15 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2)) (= (tptp.sdtasdt0 (tptp.sdtasdt0 W0 W1) W2) (tptp.sdtasdt0 W0 (tptp.sdtasdt0 W1 W2))))))) (let ((_let_16 (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (and (= (tptp.sdtpldt0 W0 tptp.sz00) W0) (= W0 (tptp.sdtpldt0 tptp.sz00 W0))))))) (let ((_let_17 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (= (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 W1 W0)))))) (let ((_let_18 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (tptp.aNaturalNumber0 (tptp.sdtasdt0 W0 W1)))))) (let ((_let_19 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (tptp.aNaturalNumber0 (tptp.sdtpldt0 W0 W1)))))) (let ((_let_20 (tptp.aNaturalNumber0 tptp.sz00))) (let ((_let_21 (tptp.sdtsldt0 _let_3 tptp.xl))) (let ((_let_22 (tptp.sdtsldt0 tptp.xm tptp.xl))) (let ((_let_23 (tptp.sdtlseqdt0 _let_22 _let_21))) (let ((_let_24 (tptp.aNaturalNumber0 _let_22))) (let ((_let_25 (tptp.aNaturalNumber0 _let_21))) (let ((_let_26 (tptp.sdtmndt0 _let_21 _let_22))) (let ((_let_27 (tptp.aNaturalNumber0 _let_26))) (let ((_let_28 (and _let_27 (= _let_21 (tptp.sdtpldt0 _let_22 _let_26))))) (let ((_let_29 (not _let_23))) (let ((_let_30 (not _let_25))) (let ((_let_31 (not _let_24))) (let ((_let_32 (or _let_31 _let_30 _let_29 _let_28))) (let ((_let_33 (tptp.sdtasdt0 tptp.xl _let_26))) (let ((_let_34 (= tptp.xn _let_33))) (let ((_let_35 (not _let_34))) (let ((_let_36 (tptp.sdtasdt0 tptp.xl _let_22))) (let ((_let_37 (tptp.sdtpldt0 _let_36 _let_33))) (let ((_let_38 (= (tptp.sdtpldt0 _let_36 tptp.xn) _let_37))) (let ((_let_39 (not _let_38))) (let ((_let_40 (or _let_29 _let_39 _let_35))) (let ((_let_41 (= tptp.sz00 tptp.xl))) (let ((_let_42 (not _let_40))) (let ((_let_43 (= _let_3 (tptp.sdtpldt0 tptp.xn tptp.xm)))) (let ((_let_44 (tptp.sdtasdt0 tptp.sz00 tptp.sz00))) (let ((_let_45 (= tptp.sz00 _let_44))) (let ((_let_46 (= tptp.xn (tptp.sdtpldt0 tptp.xn tptp.sz00)))) (let ((_let_47 (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 tptp.xm)))) (let ((_let_48 (= tptp.xm (tptp.sdtasdt0 tptp.xl SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_49 (= (tptp.sdtasdt0 _let_44 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (tptp.sdtasdt0 tptp.sz00 (tptp.sdtasdt0 tptp.sz00 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))))) (let ((_let_50 (not _let_41))) (let ((_let_51 (1))) (let ((_let_52 (ASSUME :args (_let_6)))) (let ((_let_53 (AND_ELIM _let_52 :args _let_51))) (let ((_let_54 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_55 (NOT_IMPLIES_ELIM2 _let_54))) (let ((_let_56 (not _let_7))) (let ((_let_57 (not _let_8))) (let ((_let_58 (or _let_57 _let_56 _let_43))) (let ((_let_59 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (= (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 W1 W0)))))) (let ((_let_60 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_61 (ASSUME :args (_let_10)))) (let ((_let_62 (AND_ELIM _let_61 :args (2)))) (let ((_let_63 (AND_ELIM _let_61 :args _let_51))) (let ((_let_64 (not _let_20))) (let ((_let_65 (or _let_64 _let_45))) (let ((_let_66 (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (and (= tptp.sz00 (tptp.sdtasdt0 W0 tptp.sz00)) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 W0))))))) (let ((_let_67 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_68 (_let_66))) (let ((_let_69 ((not (= (tptp.aNaturalNumber0 W0) false))))) (let ((_let_70 (ASSUME :args (_let_20)))) (let ((_let_71 (and _let_46 (= tptp.xn (tptp.sdtpldt0 tptp.sz00 tptp.xn))))) (let ((_let_72 (or _let_56 _let_71))) (let ((_let_73 (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (and (= W0 (tptp.sdtpldt0 W0 tptp.sz00)) (= W0 (tptp.sdtpldt0 tptp.sz00 W0))))))) (let ((_let_74 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_75 (and (= tptp.sz00 (tptp.sdtasdt0 tptp.xm tptp.sz00)) _let_47))) (let ((_let_76 (or _let_57 _let_75))) (let ((_let_77 (not _let_48))) (let ((_let_78 (tptp.aNaturalNumber0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_79 (not _let_78))) (let ((_let_80 (or _let_79 _let_77))) (let ((_let_81 (forall ((W2 $$unsorted)) (or (not (tptp.aNaturalNumber0 W2)) (not (= tptp.xm (tptp.sdtasdt0 tptp.xl W2))))))) (let ((_let_82 (not _let_80))) (let ((_let_83 (not _let_81))) (let ((_let_84 (= _let_5 _let_83))) (let ((_let_85 (not _let_9))) (let ((_let_86 (or _let_85 _let_57 _let_84))) (let ((_let_87 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (= (tptp.doDivides0 W0 W1) (not (forall ((W2 $$unsorted)) (or (not (tptp.aNaturalNumber0 W2)) (not (= W1 (tptp.sdtasdt0 W0 W2))))))))))) (let ((_let_88 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_89 (_let_87))) (let ((_let_90 ((tptp.doDivides0 W0 W1)))) (let ((_let_91 (0))) (let ((_let_92 (AND_ELIM _let_61 :args _let_91))) (let ((_let_93 (AND_ELIM _let_52 :args _let_91))) (let ((_let_94 (not _let_5))) (let ((_let_95 (or))) (let ((_let_96 (_let_83))) (let ((_let_97 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_96)) :args _let_96)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_83) _let_81))) (REFL :args (_let_82)) :args _let_95)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_84)) :args ((or _let_94 _let_83 (not _let_84)))) _let_93 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_86)) :args ((or _let_85 _let_57 _let_84 (not _let_86)))) _let_92 _let_63 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args (tptp.xl tptp.xm QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_90)) :args _let_89)) _let_88 :args (_let_86 false _let_87)) :args (_let_84 false _let_9 false _let_8 false _let_86)) :args (_let_83 false _let_5 false _let_84)) :args (_let_82 true _let_81)))) (let ((_let_98 (REFL :args (_let_80)))) (let ((_let_99 (or _let_64 _let_64 _let_79 _let_49))) (let ((_let_100 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (not (tptp.aNaturalNumber0 W2)) (= (tptp.sdtasdt0 (tptp.sdtasdt0 W0 W1) W2) (tptp.sdtasdt0 W0 (tptp.sdtasdt0 W1 W2))))))) (let ((_let_101 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_102 (not _let_49))) (let ((_let_103 (not _let_47))) (let ((_let_104 (not _let_45))) (let ((_let_105 (not _let_46))) (let ((_let_106 (not _let_43))) (let ((_let_107 (not _let_4))) (let ((_let_108 (not _let_1))) (let ((_let_109 (ASSUME :args (_let_108)))) (let ((_let_110 (APPLY_UF tptp.doDivides0))) (let ((_let_111 (ASSUME :args (_let_46)))) (let ((_let_112 (APPLY_UF tptp.sdtpldt0))) (let ((_let_113 (ASSUME :args (_let_47)))) (let ((_let_114 (APPLY_UF tptp.sdtasdt0))) (let ((_let_115 (ASSUME :args (_let_48)))) (let ((_let_116 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_117 (ASSUME :args (_let_41)))) (let ((_let_118 (CONG (SYMM (SYMM _let_117)) _let_116 :args _let_114))) (let ((_let_119 (ASSUME :args (_let_49)))) (let ((_let_120 (ASSUME :args (_let_45)))) (let ((_let_121 (REFL :args (tptp.xn)))) (let ((_let_122 (ASSUME :args (_let_43)))) (let ((_let_123 (REFL :args (tptp.xl)))) (let ((_let_124 (ASSUME :args (_let_4)))) (let ((_let_125 (TRUE_INTRO _let_124))) (let ((_let_126 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_109 _let_111 _let_113 _let_115 _let_117 _let_119 _let_120 _let_122 _let_124) :args (_let_4 _let_41 _let_108 _let_43 _let_46 _let_45 _let_47 _let_48 _let_49)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM _let_125) (CONG _let_123 (TRANS (SYMM (SYMM _let_122)) (CONG _let_121 (TRANS _let_115 (SYMM _let_118) (CONG (SYMM (SYMM _let_120)) _let_116 :args _let_114) (SYMM (SYMM _let_119)) (CONG (REFL :args (tptp.sz00)) (TRANS _let_118 (SYMM _let_115)) :args _let_114) (SYMM _let_113)) :args _let_112) (SYMM _let_111)) :args _let_110) (FALSE_INTRO _let_109))) :args (_let_108 _let_46 _let_47 _let_48 _let_41 _let_49 _let_45 _let_43 _let_4)) :args ((not (and _let_4 _let_41 _let_108 _let_43 _let_46 _let_45 _let_47 _let_48 _let_49)) SB_LITERAL))) (CONG (REFL :args (_let_107)) (REFL :args (_let_50)) (MACRO_SR_PRED_INTRO :args ((= (not _let_108) _let_1))) (REFL :args (_let_106)) (REFL :args (_let_105)) (REFL :args (_let_104)) (REFL :args (_let_103)) (REFL :args (_let_77)) (REFL :args (_let_102)) :args _let_95)) :args ((or _let_1 _let_50 _let_107 _let_106 _let_105 _let_104 _let_103 _let_77 _let_102))) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_99))) :args ((or _let_64 _let_79 _let_49 (not _let_99)))) _let_70 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_80 0)) (CONG _let_98 (MACRO_SR_PRED_INTRO :args ((= (not _let_79) _let_78))) :args _let_95)) :args ((or _let_78 _let_80))) _let_97 :args (_let_78 true _let_80)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_101 :args (tptp.sz00 tptp.sz00 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_100))) _let_101 :args (_let_99 false _let_100)) :args (_let_49 false _let_20 false _let_78 false _let_99)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_80 1)) (CONG _let_98 (MACRO_SR_PRED_INTRO :args ((= (not _let_77) _let_48))) :args _let_95)) :args ((or _let_48 _let_80))) _let_97 :args (_let_48 true _let_80)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_75 1)) :args ((or _let_47 (not _let_75)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_76)) :args ((or _let_57 _let_75 (not _let_76)))) _let_63 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (tptp.xm QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_69)) :args _let_68)) _let_67 :args (_let_76 false _let_66)) :args (_let_75 false _let_8 false _let_76)) :args (_let_47 false _let_75)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_71 0)) :args ((or _let_46 (not _let_71)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_72)) :args ((or _let_56 _let_71 (not _let_72)))) _let_62 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (tptp.xn QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.aNaturalNumber0 W0) false))))) :args (_let_73))) _let_74 :args (_let_72 false _let_73)) :args (_let_71 false _let_7 false _let_72)) :args (_let_46 false _let_71)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_65)) :args ((or _let_64 _let_45 (not _let_65)))) _let_70 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_67 :args (tptp.sz00 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_69)) :args _let_68))) _let_67 :args (_let_65 false _let_66)) :args (_let_45 false _let_20 false _let_65)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_58)) :args ((or _let_57 _let_56 _let_43 (not _let_58)))) _let_63 _let_62 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (tptp.xm tptp.xn QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.sdtpldt0 W0 W1)))) :args (_let_59))) _let_60 :args (_let_58 false _let_59)) :args (_let_43 false _let_8 false _let_7 false _let_58)) _let_55 _let_53 :args (_let_50 false _let_49 false _let_48 false _let_47 false _let_46 false _let_45 false _let_43 true _let_1 false _let_4)))) (let ((_let_127 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (NOT_IMPLIES_ELIM1 _let_54)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_50) _let_41))) (REFL :args (_let_42)) :args _let_95)) _let_126 :args (_let_42 true _let_41)))) (let ((_let_128 (REFL :args (_let_40)))) (let ((_let_129 (= tptp.xm _let_36))) (let ((_let_130 (and _let_24 _let_129))) (let ((_let_131 (or _let_85 _let_57 _let_41 _let_94 _let_130))) (let ((_let_132 (forall ((W0 $$unsorted) (W1 $$unsorted) (BOUND_VARIABLE_1500 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (= tptp.sz00 W0) (not (tptp.doDivides0 W0 W1)) (= (and (tptp.aNaturalNumber0 BOUND_VARIABLE_1500) (= W1 (tptp.sdtasdt0 W0 BOUND_VARIABLE_1500))) (= (tptp.sdtsldt0 W1 W0) BOUND_VARIABLE_1500)))))) (let ((_let_133 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_134 (_let_132))) (let ((_let_135 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_131)) :args ((or _let_41 _let_85 _let_57 _let_94 _let_130 (not _let_131)))) _let_126 _let_92 _let_63 _let_93 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_133 :args (tptp.xl tptp.xm _let_22 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_134))) _let_133 :args (_let_131 false _let_132)) :args (_let_130 true _let_41 false _let_9 false _let_8 false _let_5 false _let_131)))) (let ((_let_136 (not _let_130))) (let ((_let_137 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_130 0)) :args ((or _let_24 _let_136))) _let_135 :args (_let_24 false _let_130)))) (let ((_let_138 (and _let_25 (= _let_37 (tptp.sdtasdt0 tptp.xl _let_21))))) (let ((_let_139 (= _let_21 (tptp.sdtsldt0 _let_37 tptp.xl)))) (let ((_let_140 (= _let_138 _let_139))) (let ((_let_141 (tptp.doDivides0 tptp.xl _let_37))) (let ((_let_142 (not _let_141))) (let ((_let_143 (tptp.aNaturalNumber0 _let_37))) (let ((_let_144 (not _let_143))) (let ((_let_145 (or _let_85 _let_144 _let_41 _let_142 _let_140))) (let ((_let_146 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_130 1)) :args ((or _let_129 _let_136))) _let_135 :args (_let_129 false _let_130)))) (let ((_let_147 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_40 1)) (CONG _let_128 (MACRO_SR_PRED_INTRO :args ((= (not _let_39) _let_38))) :args _let_95)) :args ((or _let_38 _let_40))) _let_127 :args (_let_38 true _let_40)))) (let ((_let_148 (and _let_4 _let_38 _let_129))) (let ((_let_149 (ASSUME :args (_let_129)))) (let ((_let_150 (SYMM (SYMM _let_149)))) (let ((_let_151 (ASSUME :args (_let_38)))) (let ((_let_152 (SYMM (SYMM _let_151)))) (let ((_let_153 (tptp.aNaturalNumber0 _let_33))) (let ((_let_154 (not _let_153))) (let ((_let_155 (tptp.aNaturalNumber0 _let_36))) (let ((_let_156 (not _let_155))) (let ((_let_157 (or _let_156 _let_154 _let_143))) (let ((_let_158 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (tptp.aNaturalNumber0 (tptp.sdtpldt0 W0 W1)))))) (let ((_let_159 (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_160 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_40 2)) (CONG _let_128 (MACRO_SR_PRED_INTRO :args ((= (not _let_35) _let_34))) :args _let_95)) :args ((or _let_34 _let_40))) _let_127 :args (_let_34 true _let_40)))) (let ((_let_161 (and _let_7 _let_34))) (let ((_let_162 (_let_7 _let_34))) (let ((_let_163 (ASSUME :args (_let_7)))) (let ((_let_164 (ASSUME :args (_let_34)))) (let ((_let_165 (or _let_85 _let_31 _let_155))) (let ((_let_166 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (tptp.aNaturalNumber0 (tptp.sdtasdt0 W0 W1)))))) (let ((_let_167 (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_168 (and _let_38 _let_129))) (let ((_let_169 (_let_38 _let_129))) (let ((_let_170 (not _let_28))) (let ((_let_171 (not _let_27))) (let ((_let_172 (or _let_171 _let_35))) (let ((_let_173 (forall ((W2 $$unsorted)) (or (not (tptp.aNaturalNumber0 W2)) (not (= tptp.xn (tptp.sdtasdt0 tptp.xl W2))))))) (let ((_let_174 (not _let_173))) (let ((_let_175 (= _let_1 _let_174))) (let ((_let_176 (or _let_85 _let_56 _let_175))) (let ((_let_177 (not _let_175))) (let ((_let_178 (_let_173))) (let ((_let_179 (forall ((W0 $$unsorted) (W1 $$unsorted) (BOUND_VARIABLE_1304 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (not (tptp.sdtlseqdt0 W0 W1)) (= (and (tptp.aNaturalNumber0 BOUND_VARIABLE_1304) (= W1 (tptp.sdtpldt0 W0 BOUND_VARIABLE_1304))) (= (tptp.sdtmndt0 W1 W0) BOUND_VARIABLE_1304)))))) (let ((_let_180 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_32)) :args ((or _let_29 _let_31 _let_30 _let_28 (not _let_32)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_180 :args (_let_22 _let_21 _let_26 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_179)))) _let_180 :args (_let_32 false _let_179)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_28 0)) :args ((or _let_27 _let_170))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_172)) :args ((or _let_35 _let_171 (not _let_172)))) _let_160 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_178) :args (_let_26 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_178)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args (_let_175)) (CONG (REFL :args (_let_177)) (REFL :args (_let_1)) (MACRO_SR_PRED_INTRO :args ((= (not _let_174) _let_173))) :args _let_95)) :args ((or _let_1 _let_173 _let_177))) _let_55 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_176)) :args ((or _let_85 _let_56 _let_175 (not _let_176)))) _let_92 _let_62 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args (tptp.xl tptp.xn QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_90)) :args _let_89)) _let_88 :args (_let_176 false _let_87)) :args (_let_175 false _let_9 false _let_7 false _let_176)) :args (_let_173 true _let_1 false _let_175)) :args (_let_172 false _let_173)) :args (_let_171 false _let_34 false _let_172)) :args (_let_170 true _let_27)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_138 0)) :args ((or _let_25 (not _let_138)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_140)) :args ((or _let_138 (not _let_139) (not _let_140)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_168)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_151 _let_149) (SCOPE (CONG (TRANS (CONG _let_150 _let_121 :args _let_112) _let_152) _let_123 :args (APPLY_UF tptp.sdtsldt0)) :args _let_169)) :args _let_169)) :args (true _let_168)) _let_147 _let_146 :args (_let_139 false _let_38 false _let_129)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_145)) :args ((or _let_41 _let_85 _let_144 _let_142 _let_140 (not _let_145)))) _let_126 _let_92 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_157)) :args ((or _let_156 _let_154 _let_143 (not _let_157)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_165)) :args ((or _let_85 _let_155 _let_31 (not _let_165)))) _let_92 _let_137 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_167 :args (tptp.xl _let_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.sdtasdt0 W0 W1)))) :args (_let_166))) _let_167 :args (_let_165 false _let_166)) :args (_let_155 false _let_9 false _let_24 false _let_165)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_161)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_163 _let_164) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM _let_164) :args (APPLY_UF tptp.aNaturalNumber0)) (TRUE_INTRO _let_163))) :args _let_162)) :args _let_162)) :args (true _let_161)) :args ((or _let_35 _let_56 _let_153))) _let_160 _let_62 :args (_let_153 false _let_34 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_159 :args (_let_36 _let_33 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.sdtpldt0 W0 W1)))) :args (_let_158))) _let_159 :args (_let_157 false _let_158)) :args (_let_143 false _let_155 false _let_153 false _let_157)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_148)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_124 _let_149 _let_151) (SCOPE (TRUE_ELIM (TRANS (CONG _let_123 (TRANS (SYMM _let_152) (CONG (SYMM _let_150) _let_121 :args _let_112)) :args _let_110) _let_125)) :args (_let_4 _let_129 _let_38))) :args (_let_4 _let_38 _let_129))) :args (true _let_148)) :args ((or _let_39 _let_107 (not _let_129) _let_141))) _let_147 _let_53 _let_146 :args (_let_141 false _let_38 false _let_4 false _let_129)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_133 :args (tptp.xl _let_37 _let_21 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_134))) _let_133 :args (_let_145 false _let_132)) :args (_let_140 true _let_41 false _let_9 false _let_143 false _let_141 false _let_145)) :args (_let_138 false _let_139 false _let_140)) :args (_let_25 false _let_138)) _let_137 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_40 0)) (CONG _let_128 (MACRO_SR_PRED_INTRO :args ((= (not _let_29) _let_23))) :args _let_95)) :args ((or _let_23 _let_40))) _let_127 :args (_let_23 true _let_40)) :args (false false _let_32 true _let_28 false _let_25 false _let_24 false _let_23)) :args ((forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) true)) _let_20 (and (tptp.aNaturalNumber0 tptp.sz10) (not (= tptp.sz10 tptp.sz00))) _let_19 _let_18 _let_17 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2)) (= (tptp.sdtpldt0 (tptp.sdtpldt0 W0 W1) W2) (tptp.sdtpldt0 W0 (tptp.sdtpldt0 W1 W2))))) _let_16 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W1 W0)))) _let_15 (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (and (= (tptp.sdtasdt0 W0 tptp.sz10) W0) (= W0 (tptp.sdtasdt0 tptp.sz10 W0))))) _let_14 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (let ((_let_1 (tptp.sdtpldt0 W1 W2))) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2)) (and (= (tptp.sdtasdt0 W0 _let_1) (tptp.sdtpldt0 (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W0 W2))) (= (tptp.sdtasdt0 _let_1 W0) (tptp.sdtpldt0 (tptp.sdtasdt0 W1 W0) (tptp.sdtasdt0 W2 W0))))))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2)) (=> (or (= (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 W0 W2)) (= (tptp.sdtpldt0 W1 W0) (tptp.sdtpldt0 W2 W0))) (= W1 W2)))) (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (=> (not (= W0 tptp.sz00)) (forall ((W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2)) (=> (or (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W0 W2)) (= (tptp.sdtasdt0 W1 W0) (tptp.sdtasdt0 W2 W0))) (= W1 W2))))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (= (tptp.sdtpldt0 W0 W1) tptp.sz00) (and (= W0 tptp.sz00) (= W1 tptp.sz00))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (= (tptp.sdtasdt0 W0 W1) tptp.sz00) (or (= W0 tptp.sz00) (= W1 tptp.sz00))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (= (tptp.sdtlseqdt0 W0 W1) (exists ((W2 $$unsorted)) (and (tptp.aNaturalNumber0 W2) (= (tptp.sdtpldt0 W0 W2) W1)))))) _let_13 (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (tptp.sdtlseqdt0 W0 W0))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (and (tptp.sdtlseqdt0 W0 W1) (tptp.sdtlseqdt0 W1 W0)) (= W0 W1)))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2)) (=> (and (tptp.sdtlseqdt0 W0 W1) (tptp.sdtlseqdt0 W1 W2)) (tptp.sdtlseqdt0 W0 W2)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (or (tptp.sdtlseqdt0 W0 W1) (and (not (= W1 W0)) (tptp.sdtlseqdt0 W1 W0))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (and (not (= W0 W1)) (tptp.sdtlseqdt0 W0 W1)) (forall ((W2 $$unsorted)) (let ((_let_1 (tptp.sdtpldt0 W1 W2))) (let ((_let_2 (tptp.sdtpldt0 W0 W2))) (let ((_let_3 (tptp.sdtpldt0 W2 W1))) (let ((_let_4 (tptp.sdtpldt0 W2 W0))) (=> (tptp.aNaturalNumber0 W2) (and (not (= _let_4 _let_3)) (tptp.sdtlseqdt0 _let_4 _let_3) (not (= _let_2 _let_1)) (tptp.sdtlseqdt0 _let_2 _let_1))))))))))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (let ((_let_1 (tptp.sdtasdt0 W2 W0))) (let ((_let_2 (tptp.sdtasdt0 W1 W0))) (let ((_let_3 (tptp.sdtasdt0 W0 W2))) (let ((_let_4 (tptp.sdtasdt0 W0 W1))) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2)) (=> (and (not (= W0 tptp.sz00)) (not (= W1 W2)) (tptp.sdtlseqdt0 W1 W2)) (and (not (= _let_4 _let_3)) (tptp.sdtlseqdt0 _let_4 _let_3) (not (= _let_2 _let_1)) (tptp.sdtlseqdt0 _let_2 _let_1))))))))) (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (or (= W0 tptp.sz00) (= W0 tptp.sz10) (and (not (= tptp.sz10 W0)) (tptp.sdtlseqdt0 tptp.sz10 W0))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (not (= W0 tptp.sz00)) (tptp.sdtlseqdt0 W1 (tptp.sdtasdt0 W1 W0))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (tptp.iLess0 W0 W1) true))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (and (not (= W0 W1)) (tptp.sdtlseqdt0 W0 W1)) (tptp.iLess0 W0 W1)))) _let_12 _let_11 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2)) (=> (and (tptp.doDivides0 W0 W1) (tptp.doDivides0 W1 W2)) (tptp.doDivides0 W0 W2)))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2)) (=> (and (tptp.doDivides0 W0 W1) (tptp.doDivides0 W0 W2)) (tptp.doDivides0 W0 (tptp.sdtpldt0 W1 W2))))) _let_10 _let_6 _let_2 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 25.62/25.90 )
% 25.62/25.90 % SZS output end Proof for NUM476+1
% 25.62/25.90 % cvc5---1.0.5 exiting
% 25.62/25.90 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------