%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : KLE021+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n014.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 05:26:54 EDT 2023

% Result   : Theorem 0.88s 1.08s
% Output   : Proof 0.88s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.15  % Problem    : KLE021+4 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.16  % Command    : do_cvc5 %s %d
% 0.16/0.38  % Computer : n014.cluster.edu
% 0.16/0.38  % Model    : x86_64 x86_64
% 0.16/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38  % Memory   : 8042.1875MB
% 0.16/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38  % CPULimit   : 300
% 0.16/0.38  % WCLimit    : 300
% 0.16/0.38  % DateTime   : Tue Aug 29 11:01:00 EDT 2023
% 0.16/0.38  % CPUTime    : 
% 0.23/0.53  %----Proving TF0_NAR, FOF, or CNF
% 0.88/1.08  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.aDqQatxKKS/cvc5---1.0.5_22656.p...
% 0.88/1.08  ------- get file name : TPTP file name is KLE021+4
% 0.88/1.08  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_22656.smt2...
% 0.88/1.08  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.88/1.08  % SZS status Theorem for KLE021+4
% 0.88/1.08  % SZS output start Proof for KLE021+4
% 0.88/1.08  (
% 0.88/1.08  (let ((_let_1 (not (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.addition (tptp.multiplication X1 X0) (tptp.multiplication (tptp.c X1) X0)))) (=> (tptp.test X1) (and (tptp.leq X0 _let_1) (tptp.leq _let_1 X0)))))))) (let ((_let_2 (forall ((X0 $$unsorted) (X1 $$unsorted)) (=> (tptp.test X0) (= (= (tptp.c X0) X1) (tptp.complement X0 X1)))))) (let ((_let_3 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.complement X1 X0) (and (= (tptp.multiplication X0 X1) tptp.zero) (= (tptp.multiplication X1 X0) tptp.zero) (= (tptp.addition X0 X1) tptp.one)))))) (let ((_let_4 (forall ((X0 $$unsorted)) (= (tptp.test X0) (exists ((X1 $$unsorted)) (tptp.complement X1 X0)))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= (tptp.addition A B) B))))) (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 $$unsorted)) (= (tptp.addition A A) A)))) (let ((_let_11 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))) (let ((_let_12 (tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_13 (tptp.addition (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.multiplication _let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_14 (tptp.leq _let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_15 (tptp.leq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_13))) (let ((_let_16 (and _let_15 _let_14))) (let ((_let_17 (tptp.test SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_18 (not _let_17))) (let ((_let_19 (or _let_18 _let_16))) (let ((_let_20 (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.addition (tptp.multiplication X1 X0) (tptp.multiplication (tptp.c X1) X0)))) (or (not (tptp.test X1)) (and (tptp.leq X0 _let_1) (tptp.leq _let_1 X0))))))) (let ((_let_21 (not _let_19))) (let ((_let_22 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_23 (or))) (let ((_let_24 (not _let_20))) (let ((_let_25 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_22) :args (_let_24))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_20))) (REFL :args (_let_21)) :args _let_23)) _let_22 :args (_let_21 true _let_20)))) (let ((_let_26 (tptp.leq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_27 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_28 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.one)))) (let ((_let_29 (= _let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_30 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_31 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_12))) (let ((_let_32 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_31) (tptp.addition (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_12))))) (let ((_let_33 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_34 (= tptp.one _let_33))) (let ((_let_35 (= _let_31 (tptp.addition _let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_36 (= _let_13 (tptp.multiplication _let_31 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_37 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_38 (= _let_37 _let_26))) (let ((_let_39 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= B (tptp.addition A B)))))) (let ((_let_40 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_41 (forall ((A $$unsorted)) (= A (tptp.addition A A))))) (let ((_let_42 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_43 (_let_41))) (let ((_let_44 ((tptp.addition A A)))) (let ((_let_45 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_38)) :args ((or _let_26 (not _let_37) (not _let_38)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_44)) :args _let_43)) _let_42 :args (_let_37 false _let_41)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_40 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.addition A B)))) :args (_let_39)))) _let_40 :args (_let_38 false _let_39)) :args (_let_26 false _let_37 false _let_38)))) (let ((_let_46 (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A))))) (let ((_let_47 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_48 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.multiplication tptp.one A)))) :args (_let_46))) _let_47 :args (_let_27 false _let_46)))) (let ((_let_49 (forall ((A $$unsorted)) (= A (tptp.multiplication A tptp.one))))) (let ((_let_50 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_51 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.multiplication A tptp.one)))) :args (_let_49))) _let_50 :args (_let_28 false _let_49)))) (let ((_let_52 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_53 (= _let_52 _let_29))) (let ((_let_54 (or _let_18 _let_53))) (let ((_let_55 (forall ((X0 $$unsorted) (X1 $$unsorted)) (or (not (tptp.test X0)) (= (tptp.complement X0 X1) (= X1 (tptp.c X0))))))) (let ((_let_56 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_57 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_19 0)) (CONG (REFL :args (_let_19)) (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_17))) :args _let_23)) :args ((or _let_17 _let_19))) _let_25 :args (_let_17 true _let_19)))) (let ((_let_58 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_59 (= tptp.one _let_58))) (let ((_let_60 (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))) (let ((_let_61 (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_62 (and _let_61 _let_60 _let_59))) (let ((_let_63 (= _let_52 _let_62))) (let ((_let_64 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.complement X1 X0) (and (= tptp.zero (tptp.multiplication X0 X1)) (= tptp.zero (tptp.multiplication X1 X0)) (= tptp.one (tptp.addition X0 X1))))))) (let ((_let_65 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_66 (_let_64))) (let ((_let_67 (= _let_33 _let_58))) (let ((_let_68 (_let_11))) (let ((_let_69 (ASSUME :args _let_68))) (let ((_let_70 ((tptp.addition A B)))) (let ((_let_71 (and _let_60 _let_61 _let_34))) (let ((_let_72 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_73 (= _let_72 _let_71))) (let ((_let_74 (forall ((X1 $$unsorted)) (not (tptp.complement X1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_75 (not _let_74))) (let ((_let_76 (= _let_17 _let_75))) (let ((_let_77 (forall ((X0 $$unsorted)) (= (tptp.test X0) (not (forall ((X1 $$unsorted)) (not (tptp.complement X1 X0)))))))) (let ((_let_78 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_79 (not _let_72))) (let ((_let_80 (_let_75))) (let ((_let_81 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_73)) :args ((or _let_79 _let_71 (not _let_73)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_80)) :args _let_80) (REWRITE :args ((=> _let_75 (not _let_79)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_75) _let_74))) (REFL :args (_let_72)) :args _let_23)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_76)) :args ((or _let_18 _let_75 (not _let_76)))) _let_57 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.test X0)))) :args (_let_77))) _let_78 :args (_let_76 false _let_77)) :args (_let_75 false _let_17 false _let_76)) :args (_let_72 true _let_74)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.complement X1 X0)))) :args _let_66)) _let_65 :args (_let_73 false _let_64)) :args (_let_71 false _let_72 false _let_73)))) (let ((_let_82 (not _let_71))) (let ((_let_83 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_71 2)) :args ((or _let_34 _let_82))) _let_81 :args (_let_34 false _let_71)))) (let ((_let_84 (not _let_34))) (let ((_let_85 (and _let_34 _let_67))) (let ((_let_86 (ASSUME :args (_let_67)))) (let ((_let_87 (ASSUME :args (_let_34)))) (let ((_let_88 (SYMM _let_87))) (let ((_let_89 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_53)) :args ((or (not _let_52) _let_29 (not _let_53)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_63)) :args ((or _let_52 (not _let_62) (not _let_63)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_62)) :args ((or (not _let_60) (not _let_61) _let_62 (not _let_59)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_71 0)) :args ((or _let_60 _let_82))) _let_81 :args (_let_60 false _let_71)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_71 1)) :args ((or _let_61 _let_82))) _let_81 :args (_let_61 false _let_71)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_85)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_86 _let_87) (SCOPE (TRANS (SYMM _let_88) (SYMM (SYMM _let_86))) :args (_let_67 _let_34))) :args (_let_34 _let_67))) :args (true _let_85)) :args ((or _let_84 _let_59 (not _let_67)))) _let_83 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_70)) :args _let_68)) _let_69 :args (_let_67 false _let_11)) :args (_let_59 false _let_34 false _let_67)) :args (_let_62 false _let_60 false _let_61 false _let_59)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.multiplication X0 X1)))) :args _let_66)) _let_65 :args (_let_63 false _let_64)) :args (_let_52 false _let_62 false _let_63)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_54)) :args ((or _let_18 _let_53 (not _let_54)))) _let_57 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_56 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.complement X0 X1)))) :args (_let_55)))) _let_56 :args (_let_54 false _let_55)) :args (_let_53 false _let_17 false _let_54)) :args (_let_29 false _let_52 false _let_53)))) (let ((_let_90 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_44)) :args _let_43)) _let_42 :args (_let_30 false _let_41)))) (let ((_let_91 (_let_7))) (let ((_let_92 (ASSUME :args _let_91))) (let ((_let_93 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_92 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_12 QUANTIFIERS_INST_E_MATCHING ((tptp.multiplication A (tptp.addition B C))))) :args _let_91)) _let_92 :args (_let_32 false _let_7)))) (let ((_let_94 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_70)) :args _let_68)) _let_69 :args (_let_35 false _let_11)))) (let ((_let_95 (_let_6))) (let ((_let_96 (ASSUME :args _let_95))) (let ((_let_97 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_96 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING ((tptp.addition (tptp.multiplication A C) (tptp.multiplication B C))))) :args _let_95))) _let_96 :args (_let_36 false _let_6)))) (let ((_let_98 (not _let_26))) (let ((_let_99 (not _let_27))) (let ((_let_100 (not _let_28))) (let ((_let_101 (not _let_29))) (let ((_let_102 (not _let_30))) (let ((_let_103 (not _let_32))) (let ((_let_104 (not _let_35))) (let ((_let_105 (not _let_36))) (let ((_let_106 (and _let_36 _let_35 _let_34 _let_32 _let_30 _let_29 _let_28 _let_27 _let_26))) (let ((_let_107 (true _let_106))) (let ((_let_108 (_let_36 _let_35 _let_34 _let_32 _let_30 _let_29 _let_28 _let_27 _let_26))) (let ((_let_109 (_let_26 _let_28 _let_34 _let_30 _let_29 _let_32 _let_27 _let_35 _let_36))) (let ((_let_110 (ASSUME :args (_let_26)))) (let ((_let_111 (TRUE_INTRO _let_110))) (let ((_let_112 (APPLY_UF tptp.leq))) (let ((_let_113 (ASSUME :args (_let_28)))) (let ((_let_114 (APPLY_UF tptp.multiplication))) (let ((_let_115 (APPLY_UF tptp.addition))) (let ((_let_116 (ASSUME :args (_let_30)))) (let ((_let_117 (ASSUME :args (_let_29)))) (let ((_let_118 (TRANS (CONG _let_116 (SYMM (SYMM _let_117)) :args _let_115) (CONG (SYMM _let_116) (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)) :args _let_115) _let_88))) (let ((_let_119 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_120 (CONG _let_119 _let_118 :args _let_114))) (let ((_let_121 (ASSUME :args (_let_32)))) (let ((_let_122 (TRANS (SYMM _let_121) _let_120 (SYMM _let_113)))) (let ((_let_123 (CONG _let_119 _let_122 :args _let_112))) (let ((_let_124 (ASSUME :args (_let_27)))) (let ((_let_125 (ASSUME :args (_let_35)))) (let ((_let_126 (ASSUME :args (_let_36)))) (let ((_let_127 (TRANS (SYMM (SYMM _let_126)) (CONG _let_125 _let_119 :args _let_114) (CONG (TRANS (SYMM _let_125) _let_118) _let_119 :args _let_114) (SYMM _let_124) _let_113 (SYMM _let_120) _let_121))) (let ((_let_128 (TRANS _let_127 _let_122))) (let ((_let_129 (AND_INTRO _let_110 _let_113 _let_87 _let_116 _let_117 _let_121 _let_124 _let_125 _let_126))) (let ((_let_130 (CNF_AND_NEG :args (_let_106)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_16)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION _let_130 (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_129 (SCOPE (TRUE_ELIM (TRANS (CONG _let_119 _let_127 :args _let_112) _let_123 _let_111)) :args _let_109)) :args _let_108)) :args _let_107) :args ((or _let_15 _let_105 _let_104 _let_84 _let_103 _let_102 _let_101 _let_100 _let_99 _let_98))) _let_97 _let_94 _let_83 _let_93 _let_90 _let_89 _let_51 _let_48 _let_45 :args (_let_15 false _let_36 false _let_35 false _let_34 false _let_32 false _let_30 false _let_29 false _let_28 false _let_27 false _let_26)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION _let_130 (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_129 (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (_let_13)) (SYMM _let_128) :args _let_112) (CONG _let_128 _let_127 :args _let_112) _let_123 _let_111)) :args _let_109)) :args _let_108)) :args _let_107) :args ((or _let_14 _let_105 _let_104 _let_84 _let_103 _let_102 _let_101 _let_100 _let_99 _let_98))) _let_97 _let_94 _let_83 _let_93 _let_90 _let_89 _let_51 _let_48 _let_45 :args (_let_14 false _let_36 false _let_35 false _let_34 false _let_32 false _let_30 false _let_29 false _let_28 false _let_27 false _let_26)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_19 1)) _let_25 :args ((not _let_16) true _let_19)) :args (false false _let_15 false _let_14 true _let_16)) :args (_let_11 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))) (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)) _let_10 (forall ((A $$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)) _let_5 _let_4 _let_3 _let_2 (forall ((X0 $$unsorted)) (=> (not (tptp.test X0)) (= (tptp.c X0) tptp.zero))) (forall ((X0 $$unsorted) (X1 $$unsorted)) (=> (and (tptp.test X0) (tptp.test X1)) (= (tptp.c (tptp.addition X0 X1)) (tptp.multiplication (tptp.c X0) (tptp.c X1))))) (forall ((X0 $$unsorted) (X1 $$unsorted)) (=> (and (tptp.test X0) (tptp.test X1)) (= (tptp.c (tptp.multiplication X0 X1)) (tptp.addition (tptp.c X0) (tptp.c X1))))) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.88/1.08  )
% 0.88/1.08  % SZS output end Proof for KLE021+4
% 0.88/1.08  % cvc5---1.0.5 exiting
% 0.88/1.08  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------