TSTP Solution File: NUM462+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NUM462+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n003.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 10:44:10 EDT 2023
% Result : Theorem 1.03s 1.33s
% Output : Proof 1.03s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM462+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13 % Command : do_cvc5 %s %d
% 0.14/0.34 % Computer : n003.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri Aug 25 08:45:53 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.48 %----Proving TF0_NAR, FOF, or CNF
% 1.03/1.33 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.T6p3N88uOz/cvc5---1.0.5_16474.p...
% 1.03/1.33 ------- get file name : TPTP file name is NUM462+1
% 1.03/1.33 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_16474.smt2...
% 1.03/1.33 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 1.03/1.33 % SZS status Theorem for NUM462+1
% 1.03/1.33 % SZS output start Proof for NUM462+1
% 1.03/1.33 (
% 1.03/1.33 (let ((_let_1 (tptp.sdtasdt0 tptp.xn tptp.xm))) (let ((_let_2 (tptp.sdtasdt0 tptp.xl tptp.xm))) (let ((_let_3 (tptp.sdtlseqdt0 _let_2 _let_1))) (let ((_let_4 (tptp.sdtasdt0 tptp.xm tptp.xn))) (let ((_let_5 (tptp.sdtasdt0 tptp.xm tptp.xl))) (let ((_let_6 (tptp.sdtlseqdt0 _let_5 _let_4))) (let ((_let_7 (not (and (not (= _let_5 _let_4)) _let_6 (not (= _let_2 _let_1)) _let_3)))) (let ((_let_8 (tptp.sdtlseqdt0 tptp.xl tptp.xn))) (let ((_let_9 (= tptp.xl tptp.xn))) (let ((_let_10 (and (not (= tptp.xm tptp.sz00)) (not _let_9) _let_8))) (let ((_let_11 (tptp.aNaturalNumber0 tptp.xn))) (let ((_let_12 (tptp.aNaturalNumber0 tptp.xl))) (let ((_let_13 (tptp.aNaturalNumber0 tptp.xm))) (let ((_let_14 (and _let_13 _let_12 _let_11))) (let ((_let_15 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (= (tptp.sdtlseqdt0 W0 W1) (exists ((W2 $$unsorted)) (and (tptp.aNaturalNumber0 W2) (= (tptp.sdtpldt0 W0 W2) W1)))))))) (let ((_let_16 (forall ((W0 $$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))))))))) (let ((_let_17 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (let ((_let_1 (tptp.sdtpldt0 W1 W2))) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2)) (and (= (tptp.sdtasdt0 W0 _let_1) (tptp.sdtpldt0 (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W0 W2))) (= (tptp.sdtasdt0 _let_1 W0) (tptp.sdtpldt0 (tptp.sdtasdt0 W1 W0) (tptp.sdtasdt0 W2 W0))))))))) (let ((_let_18 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W1 W0)))))) (let ((_let_19 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (tptp.aNaturalNumber0 (tptp.sdtasdt0 W0 W1)))))) (let ((_let_20 (= tptp.sz00 tptp.xm))) (let ((_let_21 (= _let_1 _let_2))) (let ((_let_22 (not _let_21))) (let ((_let_23 (= _let_4 _let_5))) (let ((_let_24 (not _let_23))) (let ((_let_25 (and _let_24 _let_22))) (let ((_let_26 (not _let_11))) (let ((_let_27 (not _let_12))) (let ((_let_28 (not _let_13))) (let ((_let_29 (or _let_28 _let_20 _let_27 _let_26 _let_25 _let_9))) (let ((_let_30 (0))) (let ((_let_31 (ASSUME :args (_let_14)))) (let ((_let_32 (AND_ELIM _let_31 :args _let_30))) (let ((_let_33 (1))) (let ((_let_34 (AND_ELIM _let_31 :args _let_33))) (let ((_let_35 (2))) (let ((_let_36 (AND_ELIM _let_31 :args _let_35))) (let ((_let_37 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_38 (not _let_25))) (let ((_let_39 (= _let_2 _let_5))) (let ((_let_40 (= _let_1 _let_4))) (let ((_let_41 (forall ((W2 $$unsorted)) (or (not (tptp.aNaturalNumber0 W2)) (not (= (tptp.sdtasdt0 tptp.xm tptp.xn) (tptp.sdtpldt0 (tptp.sdtasdt0 tptp.xm tptp.xl) W2))))))) (let ((_let_42 (not _let_41))) (let ((_let_43 (= _let_6 _let_42))) (let ((_let_44 (tptp.aNaturalNumber0 _let_4))) (let ((_let_45 (not _let_44))) (let ((_let_46 (tptp.aNaturalNumber0 _let_5))) (let ((_let_47 (not _let_46))) (let ((_let_48 (or _let_47 _let_45 _let_43))) (let ((_let_49 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (= (tptp.sdtlseqdt0 W0 W1) (not (forall ((W2 $$unsorted)) (or (not (tptp.aNaturalNumber0 W2)) (not (= W1 (tptp.sdtpldt0 W0 W2))))))))))) (let ((_let_50 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_51 (_let_49))) (let ((_let_52 ((tptp.sdtlseqdt0 W0 W1)))) (let ((_let_53 (or _let_28 _let_26 _let_44))) (let ((_let_54 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (tptp.aNaturalNumber0 (tptp.sdtasdt0 W0 W1)))))) (let ((_let_55 (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_56 (_let_54))) (let ((_let_57 ((tptp.sdtasdt0 W0 W1)))) (let ((_let_58 (or _let_28 _let_27 _let_46))) (let ((_let_59 (tptp.sdtasdt0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.xm))) (let ((_let_60 (= _let_4 (tptp.sdtpldt0 _let_5 _let_59)))) (let ((_let_61 (not _let_60))) (let ((_let_62 (tptp.aNaturalNumber0 _let_59))) (let ((_let_63 (not _let_62))) (let ((_let_64 (or _let_63 _let_61))) (let ((_let_65 (not _let_64))) (let ((_let_66 (tptp.sdtpldt0 _let_2 _let_59))) (let ((_let_67 (tptp.sdtpldt0 tptp.xl SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_68 (= (tptp.sdtasdt0 _let_67 tptp.xm) _let_66))) (let ((_let_69 (= tptp.xn _let_67))) (let ((_let_70 (and (= (tptp.sdtasdt0 tptp.xm _let_67) (tptp.sdtpldt0 _let_5 (tptp.sdtasdt0 tptp.xm SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) _let_68))) (let ((_let_71 (tptp.aNaturalNumber0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_72 (not _let_71))) (let ((_let_73 (or _let_28 _let_27 _let_72 _let_70))) (let ((_let_74 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (let ((_let_1 (tptp.sdtpldt0 W1 W2))) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (not (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))))))))) (let ((_let_75 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_76 (not _let_69))) (let ((_let_77 (or _let_72 _let_76))) (let ((_let_78 (forall ((W2 $$unsorted)) (or (not (tptp.aNaturalNumber0 W2)) (not (= tptp.xn (tptp.sdtpldt0 tptp.xl W2))))))) (let ((_let_79 (not _let_77))) (let ((_let_80 (not _let_78))) (let ((_let_81 (= _let_8 _let_80))) (let ((_let_82 (or _let_27 _let_26 _let_81))) (let ((_let_83 (or))) (let ((_let_84 (_let_80))) (let ((_let_85 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_84)) :args _let_84)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_80) _let_78))) (REFL :args (_let_79)) :args _let_83)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_81)) :args ((or (not _let_8) _let_80 (not _let_81)))) (AND_ELIM _let_37 :args _let_35) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_82)) :args ((or _let_27 _let_26 _let_81 (not _let_82)))) _let_34 _let_36 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (tptp.xl tptp.xn QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_52)) :args _let_51)) _let_50 :args (_let_82 false _let_49)) :args (_let_81 false _let_12 false _let_11 false _let_82)) :args (_let_80 false _let_8 false _let_81)) :args (_let_79 true _let_78)))) (let ((_let_86 (REFL :args (_let_77)))) (let ((_let_87 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_77 0)) (CONG _let_86 (MACRO_SR_PRED_INTRO :args ((= (not _let_72) _let_71))) :args _let_83)) :args ((or _let_71 _let_77))) _let_85 :args (_let_71 true _let_77)))) (let ((_let_88 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_70 1)) :args ((or _let_68 (not _let_70)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_73)) :args ((or _let_28 _let_27 _let_72 _let_70 (not _let_73)))) _let_32 _let_34 _let_87 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (tptp.xm tptp.xl SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING ((tptp.sdtasdt0 W0 (tptp.sdtpldt0 W1 W2))))) :args (_let_74))) _let_75 :args (_let_73 false _let_74)) :args (_let_70 false _let_13 false _let_12 false _let_71 false _let_73)) :args (_let_68 false _let_70)))) (let ((_let_89 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_77 1)) (CONG _let_86 (MACRO_SR_PRED_INTRO :args ((= (not _let_76) _let_69))) :args _let_83)) :args ((or _let_69 _let_77))) _let_85 :args (_let_69 true _let_77)))) (let ((_let_90 (or _let_28 _let_26 _let_40))) (let ((_let_91 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W1 W0)))))) (let ((_let_92 (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_93 (_let_91))) (let ((_let_94 ((tptp.sdtasdt0 W0 W1)))) (let ((_let_95 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_90)) :args ((or _let_28 _let_26 _let_40 (not _let_90)))) _let_32 _let_36 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_92 :args (tptp.xm tptp.xn QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_94)) :args _let_93))) _let_92 :args (_let_90 false _let_91)) :args (_let_40 false _let_13 false _let_11 false _let_90)))) (let ((_let_96 (or _let_28 _let_27 _let_39))) (let ((_let_97 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_96)) :args ((or _let_28 _let_27 _let_39 (not _let_96)))) _let_32 _let_34 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_92 :args (tptp.xm tptp.xl QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_94)) :args _let_93))) _let_92 :args (_let_96 false _let_91)) :args (_let_39 false _let_13 false _let_12 false _let_96)))) (let ((_let_98 (and _let_39 _let_40 _let_69 _let_68))) (let ((_let_99 (ASSUME :args (_let_39)))) (let ((_let_100 (SYMM (SYMM _let_99)))) (let ((_let_101 (ASSUME :args (_let_68)))) (let ((_let_102 (SYMM (SYMM _let_101)))) (let ((_let_103 (ASSUME :args (_let_69)))) (let ((_let_104 (CONG (SYMM (SYMM _let_103)) (REFL :args (tptp.xm)) :args (APPLY_UF tptp.sdtasdt0)))) (let ((_let_105 (ASSUME :args (_let_40)))) (let ((_let_106 (SYMM _let_105))) (let ((_let_107 (or _let_72 _let_28 _let_62))) (let ((_let_108 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_107)) :args ((or _let_28 _let_72 _let_62 (not _let_107)))) _let_32 _let_87 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.xm QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_57)) :args _let_56)) _let_55 :args (_let_107 false _let_54)) :args (_let_62 false _let_13 false _let_71 false _let_107)))) (let ((_let_109 (_let_41))) (let ((_let_110 (not _let_43))) (let ((_let_111 (forall ((W2 $$unsorted)) (or (not (tptp.aNaturalNumber0 W2)) (not (= (tptp.sdtasdt0 tptp.xn tptp.xm) (tptp.sdtpldt0 (tptp.sdtasdt0 tptp.xl tptp.xm) W2))))))) (let ((_let_112 (not _let_111))) (let ((_let_113 (= _let_3 _let_112))) (let ((_let_114 (tptp.aNaturalNumber0 _let_1))) (let ((_let_115 (not _let_114))) (let ((_let_116 (tptp.aNaturalNumber0 _let_2))) (let ((_let_117 (not _let_116))) (let ((_let_118 (or _let_117 _let_115 _let_113))) (let ((_let_119 (or _let_26 _let_28 _let_114))) (let ((_let_120 (or _let_27 _let_28 _let_116))) (let ((_let_121 (= _let_1 _let_66))) (let ((_let_122 (not _let_121))) (let ((_let_123 (or _let_63 _let_122))) (let ((_let_124 (not _let_123))) (let ((_let_125 (and _let_69 _let_68))) (let ((_let_126 (_let_111))) (let ((_let_127 (not _let_113))) (let ((_let_128 (not _let_3))) (let ((_let_129 (not _let_6))) (let ((_let_130 (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_23))))) (let ((_let_131 (not _let_40))) (let ((_let_132 (not _let_39))) (let ((_let_133 (and _let_24 _let_39 _let_40))) (let ((_let_134 (ASSUME :args (_let_24)))) (let ((_let_135 (forall ((W0 $$unsorted) (BOUND_VARIABLE_1045 $$unsorted) (BOUND_VARIABLE_1043 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (= tptp.sz00 W0) (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1043)) (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1045)) (and (not (= (tptp.sdtasdt0 W0 BOUND_VARIABLE_1043) (tptp.sdtasdt0 W0 BOUND_VARIABLE_1045))) (not (= (tptp.sdtasdt0 BOUND_VARIABLE_1043 W0) (tptp.sdtasdt0 BOUND_VARIABLE_1045 W0)))) (= BOUND_VARIABLE_1043 BOUND_VARIABLE_1045))))) (let ((_let_136 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_29)) :args ((or _let_9 _let_20 _let_28 _let_27 _let_26 _let_25 (not _let_29)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_136 :args (tptp.xm tptp.xn tptp.xl QUANTIFIERS_INST_E_MATCHING ((tptp.sdtasdt0 W0 BOUND_VARIABLE_1045) (not (= (tptp.aNaturalNumber0 BOUND_VARIABLE_1043) false))))) :args (_let_135)))) _let_136 :args (_let_29 false _let_135)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_25 0)) :args ((or _let_24 _let_38))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_133)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_134 _let_105 _let_99) (SCOPE (FALSE_ELIM (TRANS (CONG (SYMM _let_106) _let_100 :args (=)) (FALSE_INTRO _let_134))) :args (_let_24 _let_40 _let_39))) :args (_let_24 _let_39 _let_40))) :args (true _let_133)) (CONG _let_130 (REFL :args (_let_132)) (REFL :args (_let_131)) (REFL :args (_let_22)) :args _let_83)) :args ((or _let_23 _let_22 _let_132 _let_131))) _let_95 _let_97 (REORDERING (EQ_RESOLVE (NOT_AND (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT)))) (CONG _let_130 (REFL :args (_let_129)) (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_21))) (REFL :args (_let_128)) :args _let_83)) :args ((or _let_23 _let_21 _let_129 _let_128))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args (_let_113)) (CONG (REFL :args (_let_127)) (REFL :args (_let_3)) (MACRO_SR_PRED_INTRO :args ((= (not _let_112) _let_111))) :args _let_83)) :args ((or _let_3 _let_111 _let_127))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_126) :args (_let_59 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.sdtpldt0 _let_2 W2)))) :args _let_126)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_123)) :args ((or _let_63 _let_122 _let_124))) _let_108 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_125)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_101 _let_103) (SCOPE (TRANS _let_104 _let_102) :args (_let_68 _let_69))) :args (_let_69 _let_68))) :args (true _let_125)) _let_89 _let_88 :args (_let_121 false _let_69 false _let_68)) :args (_let_124 false _let_62 false _let_121)) :args (_let_112 true _let_123)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_118)) :args ((or _let_117 _let_115 _let_113 (not _let_118)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_120)) :args ((or _let_28 _let_27 _let_116 (not _let_120)))) _let_32 _let_34 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (tptp.xl tptp.xm QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_57)) :args _let_56)) _let_55 :args (_let_120 false _let_54)) :args (_let_116 false _let_13 false _let_12 false _let_120)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_119)) :args ((or _let_28 _let_26 _let_114 (not _let_119)))) _let_32 _let_36 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (tptp.xn tptp.xm QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_57)) :args _let_56)) _let_55 :args (_let_119 false _let_54)) :args (_let_114 false _let_13 false _let_11 false _let_119)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (_let_2 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_52)) :args _let_51)) _let_50 :args (_let_118 false _let_49)) :args (_let_113 false _let_116 false _let_114 false _let_118)) :args (_let_3 true _let_111 false _let_113)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args (_let_43)) (CONG (REFL :args (_let_110)) (REFL :args (_let_6)) (MACRO_SR_PRED_INTRO :args ((= (not _let_42) _let_41))) :args _let_83)) :args ((or _let_6 _let_41 _let_110))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_109) :args (_let_59 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.sdtpldt0 _let_5 W2)))) :args _let_109)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_64)) :args ((or _let_63 _let_61 _let_65))) _let_108 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_98)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_99 _let_101 _let_103 _let_105) (SCOPE (TRANS _let_106 _let_104 _let_102 (CONG _let_100 (REFL :args (_let_59)) :args (APPLY_UF tptp.sdtpldt0))) :args (_let_39 _let_68 _let_69 _let_40))) :args (_let_39 _let_40 _let_69 _let_68))) :args (true _let_98)) _let_97 _let_95 _let_89 _let_88 :args (_let_60 false _let_39 false _let_40 false _let_69 false _let_68)) :args (_let_65 false _let_62 false _let_60)) :args (_let_42 true _let_64)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_48)) :args ((or _let_47 _let_45 _let_43 (not _let_48)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_58)) :args ((or _let_28 _let_27 _let_46 (not _let_58)))) _let_32 _let_34 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (tptp.xm tptp.xl QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_57)) :args _let_56)) _let_55 :args (_let_58 false _let_54)) :args (_let_46 false _let_13 false _let_12 false _let_58)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_53)) :args ((or _let_28 _let_26 _let_44 (not _let_53)))) _let_32 _let_36 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (tptp.xm tptp.xn QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_57)) :args _let_56)) _let_55 :args (_let_53 false _let_54)) :args (_let_44 false _let_13 false _let_11 false _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (_let_5 _let_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_52)) :args _let_51)) _let_50 :args (_let_48 false _let_49)) :args (_let_43 false _let_46 false _let_44 false _let_48)) :args (_let_6 true _let_41 false _let_43)) :args (_let_23 false _let_40 false _let_39 false _let_21 false _let_3 false _let_6)) :args (_let_38 false _let_23)) (AND_ELIM _let_37 :args _let_33) (AND_ELIM _let_37 :args _let_30) _let_36 _let_34 _let_32 :args (false false _let_29 true _let_25 true _let_9 true _let_20 false _let_11 false _let_12 false _let_13)) :args ((forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) true)) (tptp.aNaturalNumber0 tptp.sz00) (and (tptp.aNaturalNumber0 tptp.sz10) (not (= tptp.sz10 tptp.sz00))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (tptp.aNaturalNumber0 (tptp.sdtpldt0 W0 W1)))) _let_19 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (= (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 W1 W0)))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2)) (= (tptp.sdtpldt0 (tptp.sdtpldt0 W0 W1) W2) (tptp.sdtpldt0 W0 (tptp.sdtpldt0 W1 W2))))) (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (and (= (tptp.sdtpldt0 W0 tptp.sz00) W0) (= W0 (tptp.sdtpldt0 tptp.sz00 W0))))) _let_18 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2)) (= (tptp.sdtasdt0 (tptp.sdtasdt0 W0 W1) W2) (tptp.sdtasdt0 W0 (tptp.sdtasdt0 W1 W2))))) (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (and (= (tptp.sdtasdt0 W0 tptp.sz10) W0) (= W0 (tptp.sdtasdt0 tptp.sz10 W0))))) (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (and (= (tptp.sdtasdt0 W0 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 W0))))) _let_17 (forall ((W0 $$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)))) _let_16 (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))))) _let_15 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (tptp.sdtlseqdt0 W0 W1) (forall ((W2 $$unsorted)) (= (= W2 (tptp.sdtmndt0 W1 W0)) (and (tptp.aNaturalNumber0 W2) (= (tptp.sdtpldt0 W0 W2) W1))))))) (forall ((W0 $$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))))))))))) _let_14 _let_10 _let_7 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 1.03/1.34 )
% 1.03/1.34 % SZS output end Proof for NUM462+1
% 1.03/1.34 % cvc5---1.0.5 exiting
% 1.03/1.34 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------