TSTP Solution File: KLE071+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KLE071+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n029.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 05:27:10 EDT 2023
% Result : Theorem 15.58s 15.83s
% Output : Proof 15.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : KLE071+1 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.13 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 12:09:26 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.48 %----Proving TF0_NAR, FOF, or CNF
% 15.58/15.83 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.9AHN1qg0AW/cvc5---1.0.5_26988.p...
% 15.58/15.83 ------- get file name : TPTP file name is KLE071+1
% 15.58/15.83 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_26988.smt2...
% 15.58/15.83 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 15.58/15.83 --- Run --no-e-matching --full-saturate-quant at 5...
% 15.58/15.83 % SZS status Theorem for KLE071+1
% 15.58/15.83 % SZS output start Proof for KLE071+1
% 15.58/15.83 (
% 15.58/15.83 (let ((_let_1 (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (let ((_let_1 (tptp.domain X2))) (let ((_let_2 (tptp.domain X0))) (let ((_let_3 (tptp.domain X1))) (= (tptp.addition _let_2 (tptp.multiplication _let_3 _let_1)) (tptp.multiplication (tptp.addition _let_2 _let_3) (tptp.addition _let_2 _let_1))))))))) (let ((_let_2 (not _let_1))) (let ((_let_3 (forall ((X0 $$unsorted)) (= (tptp.addition (tptp.domain X0) tptp.one) tptp.one)))) (let ((_let_4 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.domain (tptp.multiplication X0 X1)) (tptp.domain (tptp.multiplication X0 (tptp.domain X1))))))) (let ((_let_5 (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.multiplication (tptp.domain X0) X0))) (= (tptp.addition X0 _let_1) _let_1))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C)))))) (let ((_let_8 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.one A) A)))) (let ((_let_9 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.one) A)))) (let ((_let_10 (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)))) (let ((_let_11 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))))) (let ((_let_12 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))) (let ((_let_13 (tptp.domain SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_14 (tptp.domain SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_15 (tptp.domain SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_16 (tptp.addition _let_14 _let_15))) (let ((_let_17 (tptp.multiplication _let_16 (tptp.addition _let_14 _let_13)))) (let ((_let_18 (tptp.multiplication _let_15 _let_13))) (let ((_let_19 (tptp.addition _let_14 _let_18))) (let ((_let_20 (= _let_19 _let_17))) (let ((_let_21 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.zero))) (let ((_let_22 (= (tptp.addition tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_21))) (let ((_let_23 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_21))) (let ((_let_24 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_25 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_24))) (let ((_let_26 (tptp.addition _let_14 tptp.one))) (let ((_let_27 (= tptp.one _let_26))) (let ((_let_28 (tptp.addition _let_15 tptp.one))) (let ((_let_29 (= tptp.one _let_28))) (let ((_let_30 (tptp.addition _let_13 tptp.one))) (let ((_let_31 (= tptp.one _let_30))) (let ((_let_32 (tptp.multiplication tptp.one _let_14))) (let ((_let_33 (= _let_14 _let_32))) (let ((_let_34 (tptp.domain _let_14))) (let ((_let_35 (tptp.multiplication _let_34 _let_14))) (let ((_let_36 (= _let_35 (tptp.addition _let_14 _let_35)))) (let ((_let_37 (= (tptp.domain _let_24) (tptp.domain _let_32)))) (let ((_let_38 (tptp.multiplication _let_15 tptp.one))) (let ((_let_39 (= _let_15 _let_38))) (let ((_let_40 (tptp.multiplication _let_16 _let_13))) (let ((_let_41 (= _let_17 (tptp.addition (tptp.multiplication _let_16 _let_14) _let_40)))) (let ((_let_42 (tptp.addition _let_15 _let_14))) (let ((_let_43 (= _let_16 _let_42))) (let ((_let_44 (tptp.addition _let_18 _let_14))) (let ((_let_45 (= _let_19 _let_44))) (let ((_let_46 (tptp.addition tptp.one _let_14))) (let ((_let_47 (= _let_26 _let_46))) (let ((_let_48 (tptp.multiplication _let_14 _let_34))) (let ((_let_49 (= _let_48 (tptp.multiplication tptp.one _let_48)))) (let ((_let_50 (tptp.multiplication _let_14 _let_14))) (let ((_let_51 (= (tptp.multiplication _let_46 _let_14) (tptp.addition _let_32 _let_50)))) (let ((_let_52 (tptp.multiplication _let_19 tptp.one))) (let ((_let_53 (= _let_19 _let_52))) (let ((_let_54 (= (tptp.multiplication _let_15 _let_30) (tptp.addition _let_18 _let_38)))) (let ((_let_55 (tptp.multiplication _let_15 _let_14))) (let ((_let_56 (= (tptp.multiplication _let_28 _let_14) (tptp.addition _let_55 _let_32)))) (let ((_let_57 (= (tptp.multiplication _let_42 _let_14) (tptp.addition _let_55 _let_50)))) (let ((_let_58 (tptp.addition _let_19 _let_15))) (let ((_let_59 (= _let_58 (tptp.addition _let_14 (tptp.addition _let_18 _let_15))))) (let ((_let_60 (tptp.multiplication _let_19 _let_13))) (let ((_let_61 (tptp.addition _let_60 _let_18))) (let ((_let_62 (= (tptp.multiplication _let_58 _let_13) _let_61))) (let ((_let_63 (= (tptp.addition _let_14 _let_40) (tptp.addition _let_40 _let_14)))) (let ((_let_64 (= (tptp.multiplication _let_19 _let_30) (tptp.addition _let_60 _let_52)))) (let ((_let_65 (= (tptp.addition _let_60 _let_44) (tptp.addition _let_61 _let_14)))) (let ((_let_66 (not _let_20))) (let ((_let_67 (_let_2))) (let ((_let_68 (ASSUME :args _let_67))) (let ((_let_69 (or))) (let ((_let_70 (_let_66))) (let ((_let_71 (_let_12))) (let ((_let_72 (ASSUME :args _let_71))) (let ((_let_73 (forall ((A $$unsorted)) (= A (tptp.addition A tptp.zero))))) (let ((_let_74 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_75 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM))) (let ((_let_76 (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A))))) (let ((_let_77 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_78 (_let_76))) (let ((_let_79 (forall ((X0 $$unsorted)) (= tptp.one (tptp.addition (tptp.domain X0) tptp.one))))) (let ((_let_80 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_81 (_let_79))) (let ((_let_82 (_let_14 QUANTIFIERS_INST_ENUM))) (let ((_let_83 (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.multiplication (tptp.domain X0) X0))) (= _let_1 (tptp.addition X0 _let_1)))))) (let ((_let_84 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_85 (_let_4))) (let ((_let_86 (ASSUME :args _let_85))) (let ((_let_87 (forall ((A $$unsorted)) (= A (tptp.multiplication A tptp.one))))) (let ((_let_88 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_89 (_let_87))) (let ((_let_90 (_let_7))) (let ((_let_91 (ASSUME :args _let_90))) (let ((_let_92 (_let_6))) (let ((_let_93 (ASSUME :args _let_92))) (let ((_let_94 (_let_11))) (let ((_let_95 (ASSUME :args _let_94))) (let ((_let_96 (not _let_65))) (let ((_let_97 (_let_96))) (let ((_let_98 (ASSUME :args (_let_65)))) (let ((_let_99 (ASSUME :args _let_70))) (let ((_let_100 (ASSUME :args (_let_41)))) (let ((_let_101 (APPLY_UF tptp.addition))) (let ((_let_102 (APPLY_UF tptp.multiplication))) (let ((_let_103 (REFL :args (_let_14)))) (let ((_let_104 (ASSUME :args (_let_43)))) (let ((_let_105 (ASSUME :args (_let_57)))) (let ((_let_106 (APPLY_UF tptp.domain))) (let ((_let_107 (ASSUME :args (_let_23)))) (let ((_let_108 (ASSUME :args (_let_22)))) (let ((_let_109 (SYMM _let_108))) (let ((_let_110 (ASSUME :args (_let_25)))) (let ((_let_111 (ASSUME :args (_let_37)))) (let ((_let_112 (ASSUME :args (_let_33)))) (let ((_let_113 (TRANS (CONG _let_112 :args _let_106) (SYMM _let_111) (CONG (TRANS (SYMM _let_110) _let_107 _let_109) :args _let_106) (CONG (TRANS (SYMM _let_109) (SYMM _let_107)) :args _let_106)))) (let ((_let_114 (CONG _let_113 _let_103 :args _let_102))) (let ((_let_115 (ASSUME :args (_let_36)))) (let ((_let_116 (SYMM _let_115))) (let ((_let_117 (CONG _let_112 _let_114 :args _let_101))) (let ((_let_118 (ASSUME :args (_let_51)))) (let ((_let_119 (ASSUME :args (_let_27)))) (let ((_let_120 (ASSUME :args (_let_47)))) (let ((_let_121 (CONG (TRANS (SYMM _let_120) (SYMM _let_119)) _let_103 :args _let_102))) (let ((_let_122 (ASSUME :args (_let_56)))) (let ((_let_123 (SYMM _let_112))) (let ((_let_124 (SYMM _let_118))) (let ((_let_125 (SYMM _let_116))) (let ((_let_126 (CONG (SYMM _let_113) _let_113 :args _let_102))) (let ((_let_127 (ASSUME :args (_let_29)))) (let ((_let_128 (ASSUME :args (_let_49)))) (let ((_let_129 (SYMM _let_114))) (let ((_let_130 (ASSUME :args (_let_63)))) (let ((_let_131 (ASSUME :args (_let_39)))) (let ((_let_132 (ASSUME :args (_let_54)))) (let ((_let_133 (ASSUME :args (_let_31)))) (let ((_let_134 (ASSUME :args (_let_59)))) (let ((_let_135 (ASSUME :args (_let_62)))) (let ((_let_136 (ASSUME :args (_let_53)))) (let ((_let_137 (ASSUME :args (_let_64)))) (let ((_let_138 (ASSUME :args (_let_45)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_98 (MODUS_PONENS (AND_INTRO _let_134 _let_122 _let_132 _let_136 _let_118 _let_128 _let_138 _let_120 _let_99 _let_108 _let_115 _let_110 _let_104 _let_107 _let_119 _let_135 _let_105 _let_100 _let_137 _let_127 _let_130 _let_133 _let_112 _let_111 _let_131) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS (CONG (REFL :args (_let_60)) (TRANS (SYMM _let_138) _let_136) :args _let_101) (SYMM _let_137) (CONG (REFL :args (_let_19)) (SYMM _let_133) :args _let_102) (SYMM _let_136)) (TRANS (CONG (TRANS (SYMM _let_135) (CONG (TRANS _let_134 (SYMM (CONG _let_103 (TRANS _let_131 (CONG (REFL :args (_let_15)) _let_133 :args _let_102) (SYMM (SYMM _let_132)) (CONG (REFL :args (_let_18)) (SYMM _let_131) :args _let_101)) :args _let_101))) (REFL :args (_let_13)) :args _let_102)) _let_103 :args _let_101) (SYMM _let_130) (CONG (TRANS (SYMM (TRANS _let_129 _let_125 _let_117 _let_124 _let_121 _let_123)) (TRANS _let_129 (SYMM _let_126) (SYMM (SYMM _let_128)) (CONG (SYMM (SYMM _let_127)) (TRANS _let_126 _let_125 _let_117 _let_124 _let_121 _let_123) :args _let_102) (SYMM (SYMM _let_122)) (CONG (REFL :args (_let_55)) (TRANS (SYMM _let_121) _let_118 (SYMM _let_117) _let_116 _let_114) :args _let_101) (SYMM _let_105) (CONG (SYMM _let_104) _let_103 :args _let_102))) (REFL :args (_let_40)) :args _let_101) (SYMM _let_100)) :args (=)) (FALSE_INTRO _let_99))) :args (_let_59 _let_56 _let_54 _let_53 _let_51 _let_49 _let_45 _let_47 _let_66 _let_22 _let_36 _let_25 _let_43 _let_23 _let_27 _let_62 _let_57 _let_41 _let_64 _let_29 _let_63 _let_31 _let_33 _let_37 _let_39)))) :args (_let_66 _let_22 _let_23 _let_25 _let_27 _let_29 _let_31 _let_33 _let_36 _let_37 _let_39 _let_41 _let_43 _let_45 _let_47 _let_49 _let_51 _let_53 _let_54 _let_56 _let_57 _let_59 _let_62 _let_63 _let_64 _let_65)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args _let_97))) (TRUE_INTRO (SYMM (SYMM _let_98))))) :args (_let_65 _let_96)) :args ((not (and _let_66 _let_22 _let_23 _let_25 _let_27 _let_29 _let_31 _let_33 _let_36 _let_37 _let_39 _let_41 _let_43 _let_45 _let_47 _let_49 _let_51 _let_53 _let_54 _let_56 _let_57 _let_59 _let_62 _let_63 _let_64 _let_65)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_66) _let_20))) (REFL :args ((not _let_22))) (REFL :args ((not _let_23))) (REFL :args ((not _let_25))) (REFL :args ((not _let_27))) (REFL :args ((not _let_29))) (REFL :args ((not _let_31))) (REFL :args ((not _let_33))) (REFL :args ((not _let_36))) (REFL :args ((not _let_37))) (REFL :args ((not _let_39))) (REFL :args ((not _let_41))) (REFL :args ((not _let_43))) (REFL :args ((not _let_45))) (REFL :args ((not _let_47))) (REFL :args ((not _let_49))) (REFL :args ((not _let_51))) (REFL :args ((not _let_53))) (REFL :args ((not _let_54))) (REFL :args ((not _let_56))) (REFL :args ((not _let_57))) (REFL :args ((not _let_59))) (REFL :args ((not _let_62))) (REFL :args ((not _let_63))) (REFL :args ((not _let_64))) (REFL :args _let_97) :args _let_69)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (_let_14 _let_18 _let_60 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_94)) _let_95 :args (_let_65 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (_let_19 _let_13 tptp.one QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_90)) _let_91 :args (_let_64 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (_let_14 _let_40 QUANTIFIERS_INST_ENUM)) :args _let_71)) _let_72 :args (_let_63 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (_let_19 _let_15 _let_13 QUANTIFIERS_INST_CBQI_PROP)) :args _let_92)) _let_93 :args (_let_62 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_95 :args (_let_15 _let_18 _let_14 QUANTIFIERS_INST_CBQI_PROP)) :args _let_94))) _let_95 :args (_let_59 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (_let_15 _let_14 _let_14 QUANTIFIERS_INST_CBQI_PROP)) :args _let_92)) _let_93 :args (_let_57 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (_let_15 tptp.one _let_14 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_92)) _let_93 :args (_let_56 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (_let_15 _let_13 tptp.one QUANTIFIERS_INST_CBQI_PROP)) :args _let_90)) _let_91 :args (_let_54 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args (_let_19 QUANTIFIERS_INST_ENUM)) :args _let_89)) _let_88 :args (_let_53 false _let_87)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (tptp.one _let_14 _let_14 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_92)) _let_93 :args (_let_51 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (_let_48 QUANTIFIERS_INST_ENUM)) :args _let_78)) _let_77 :args (_let_49 false _let_76)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (_let_14 tptp.one QUANTIFIERS_INST_ENUM)) :args _let_71)) _let_72 :args (_let_47 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (_let_14 _let_18 QUANTIFIERS_INST_ENUM)) :args _let_71)) _let_72 :args (_let_45 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (_let_14 _let_15 QUANTIFIERS_INST_ENUM)) :args _let_71)) _let_72 :args (_let_43 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (_let_16 _let_14 _let_13 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_90)) _let_91 :args (_let_41 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args (_let_15 QUANTIFIERS_INST_ENUM)) :args _let_89)) _let_88 :args (_let_39 false _let_87)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_PROP)) :args _let_85)) _let_86 :args (_let_37 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_84 :args _let_82) :args (_let_83))) _let_84 :args (_let_36 false _let_83)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args _let_82) :args _let_78)) _let_77 :args (_let_33 false _let_76)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_80 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_ENUM)) :args _let_81)) _let_80 :args (_let_31 false _let_79)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_80 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_ENUM)) :args _let_81)) _let_80 :args (_let_29 false _let_79)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_80 :args _let_75) :args _let_81)) _let_80 :args (_let_27 false _let_79)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args _let_75) :args _let_78)) _let_77 :args (_let_25 false _let_76)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args _let_75) :args (_let_73))) _let_74 :args (_let_23 false _let_73)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM)) :args _let_71)) _let_72 :args (_let_22 false _let_12)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_68) :args _let_67)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args _let_70) :args _let_69)) _let_68 :args (_let_66 true _let_1)) :args (false false _let_65 false _let_64 false _let_63 false _let_62 false _let_59 false _let_57 false _let_56 false _let_54 false _let_53 false _let_51 false _let_49 false _let_47 false _let_45 false _let_43 false _let_41 false _let_39 false _let_37 false _let_36 false _let_33 false _let_31 false _let_29 false _let_27 false _let_25 false _let_23 false _let_22 true _let_20)) :args (_let_12 _let_11 _let_10 (forall ((A $$unsorted)) (= (tptp.addition A A) A)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))) _let_9 _let_8 _let_7 _let_6 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.zero) tptp.zero)) (forall ((A $$unsorted)) (= (tptp.multiplication tptp.zero A) tptp.zero)) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= (tptp.addition A B) B))) _let_5 _let_4 _let_3 (= (tptp.domain tptp.zero) tptp.zero) (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.domain (tptp.addition X0 X1)) (tptp.addition (tptp.domain X0) (tptp.domain X1)))) _let_2 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 15.58/15.83 )
% 15.58/15.83 % SZS output end Proof for KLE071+1
% 15.58/15.83 % cvc5---1.0.5 exiting
% 15.58/15.83 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------