%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : KLE015+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n016.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 05:26:51 EDT 2023

% Result   : Theorem 2.82s 3.09s
% Output   : Proof 2.91s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : KLE015+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n016.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 29 12:51:16 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.20/0.48  %----Proving TF0_NAR, FOF, or CNF
% 2.82/3.09  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.jV0mQgm4bj/cvc5---1.0.5_31556.p...
% 2.82/3.09  ------- get file name : TPTP file name is KLE015+1
% 2.82/3.09  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_31556.smt2...
% 2.82/3.09  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 2.82/3.09  % SZS status Theorem for KLE015+1
% 2.82/3.09  % SZS output start Proof for KLE015+1
% 2.82/3.09  (
% 2.82/3.09  (let ((_let_1 (not (forall ((X0 $$unsorted) (X1 $$unsorted)) (=> (and (tptp.test X1) (tptp.test X0)) (= (tptp.multiplication (tptp.multiplication (tptp.addition X0 X1) (tptp.c X0)) (tptp.c X1)) tptp.zero)))))) (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 $$unsorted)) (= (tptp.multiplication tptp.zero A) tptp.zero)))) (let ((_let_6 (forall ((A $$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 $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))))) (let ((_let_10 (forall ((A $$unsorted)) (= (tptp.addition A A) A)))) (let ((_let_11 (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)))) (let ((_let_12 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))))) (let ((_let_13 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))) (let ((_let_14 (tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_15 (tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_16 (tptp.multiplication (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) _let_15))) (let ((_let_17 (= tptp.zero (tptp.multiplication _let_16 _let_14)))) (let ((_let_18 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_15))) (let ((_let_19 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_15))) (let ((_let_20 (tptp.addition _let_19 _let_18))) (let ((_let_21 (= _let_16 _let_20))) (let ((_let_22 (tptp.multiplication _let_18 _let_14))) (let ((_let_23 (tptp.multiplication _let_19 _let_14))) (let ((_let_24 (tptp.addition _let_23 _let_22))) (let ((_let_25 (= (tptp.multiplication _let_20 _let_14) _let_24))) (let ((_let_26 (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))) (let ((_let_27 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_15))) (let ((_let_28 (tptp.addition _let_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_29 (= _let_28 _let_27))) (let ((_let_30 (= _let_24 (tptp.addition _let_22 _let_23)))) (let ((_let_31 (tptp.multiplication _let_15 _let_14))) (let ((_let_32 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_31))) (let ((_let_33 (= _let_22 _let_32))) (let ((_let_34 (= tptp.zero _let_19))) (let ((_let_35 (= tptp.one _let_28))) (let ((_let_36 (= _let_14 (tptp.addition _let_14 tptp.zero)))) (let ((_let_37 (= _let_14 (tptp.multiplication tptp.one _let_14)))) (let ((_let_38 (= tptp.zero (tptp.multiplication tptp.zero _let_14)))) (let ((_let_39 (= _let_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_40 (tptp.addition _let_31 _let_14))) (let ((_let_41 (= (tptp.addition _let_14 _let_31) _let_40))) (let ((_let_42 (tptp.addition _let_15 _let_15))) (let ((_let_43 (= _let_15 _let_42))) (let ((_let_44 (tptp.addition _let_27 _let_15))) (let ((_let_45 (= (tptp.multiplication _let_44 _let_14) (tptp.addition (tptp.multiplication _let_27 _let_14) _let_31)))) (let ((_let_46 (= _let_44 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_42)))) (let ((_let_47 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_40) (tptp.addition _let_32 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_14))))) (let ((_let_48 (tptp.test SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_49 (not _let_48))) (let ((_let_50 (tptp.test SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_51 (not _let_50))) (let ((_let_52 (or _let_51 _let_49 _let_17))) (let ((_let_53 (not _let_17))) (let ((_let_54 (forall ((X0 $$unsorted) (X1 $$unsorted)) (or (not (tptp.test X1)) (not (tptp.test X0)) (= tptp.zero (tptp.multiplication (tptp.multiplication (tptp.addition X0 X1) (tptp.c X0)) (tptp.c X1))))))) (let ((_let_55 (not _let_52))) (let ((_let_56 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_57 (or))) (let ((_let_58 (not _let_54))) (let ((_let_59 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_56) :args (_let_58))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_58) _let_54))) (REFL :args (_let_55)) :args _let_57)) _let_56 :args (_let_55 true _let_54)))) (let ((_let_60 (_let_6))) (let ((_let_61 (ASSUME :args _let_60))) (let ((_let_62 ((tptp.multiplication (tptp.addition A B) C)))) (let ((_let_63 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_64 (= tptp.one _let_63))) (let ((_let_65 (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_66 (and _let_26 _let_65 _let_64))) (let ((_let_67 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_68 (= _let_67 _let_66))) (let ((_let_69 (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_70 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_71 (_let_69))) (let ((_let_72 (forall ((X1 $$unsorted)) (not (tptp.complement X1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_73 (not _let_72))) (let ((_let_74 (= _let_50 _let_73))) (let ((_let_75 (forall ((X0 $$unsorted)) (= (tptp.test X0) (not (forall ((X1 $$unsorted)) (not (tptp.complement X1 X0)))))))) (let ((_let_76 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_77 (REFL :args (_let_52)))) (let ((_let_78 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_52 0)) (CONG _let_77 (MACRO_SR_PRED_INTRO :args ((= (not _let_51) _let_50))) :args _let_57)) :args ((or _let_50 _let_52))) _let_59 :args (_let_50 true _let_52)))) (let ((_let_79 (not _let_67))) (let ((_let_80 (_let_73))) (let ((_let_81 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_68)) :args ((or _let_79 _let_66 (not _let_68)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_80)) :args _let_80) (REWRITE :args ((=> _let_73 (not _let_79)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_73) _let_72))) (REFL :args (_let_67)) :args _let_57)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_74)) :args ((or _let_51 _let_73 (not _let_74)))) _let_78 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.test X0)))) :args (_let_75))) _let_76 :args (_let_74 false _let_75)) :args (_let_73 false _let_50 false _let_74)) :args (_let_67 true _let_72)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.complement X1 X0)))) :args _let_71)) _let_70 :args (_let_68 false _let_69)) :args (_let_66 false _let_67 false _let_68)))) (let ((_let_82 (not _let_66))) (let ((_let_83 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_66 0)) :args ((or _let_26 _let_82))) _let_81 :args (_let_26 false _let_66)))) (let ((_let_84 (_let_13))) (let ((_let_85 (ASSUME :args _let_84))) (let ((_let_86 ((tptp.addition A B)))) (let ((_let_87 (_let_9))) (let ((_let_88 (ASSUME :args _let_87))) (let ((_let_89 (and (= tptp.zero (tptp.multiplication _let_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) _let_34 _let_35))) (let ((_let_90 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_15))) (let ((_let_91 (= _let_90 _let_89))) (let ((_let_92 (or _let_49 _let_90))) (let ((_let_93 (forall ((X0 $$unsorted) (X1 $$unsorted)) (or (not (tptp.test X0)) (= (tptp.complement X0 X1) (= X1 (tptp.c X0))))))) (let ((_let_94 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_95 (_let_93))) (let ((_let_96 ((tptp.complement X0 X1)))) (let ((_let_97 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_91)) :args ((or _let_89 (not _let_90) (not _let_91)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_92)) :args ((or _let_49 _let_90 (not _let_92)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_52 1)) (CONG _let_77 (MACRO_SR_PRED_INTRO :args ((= (not _let_49) _let_48))) :args _let_57)) :args ((or _let_48 _let_52))) _let_59 :args (_let_48 true _let_52)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_94 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_96)) :args _let_95))) _let_94 :args (_let_92 false _let_93)) :args (_let_90 false _let_48 false _let_92)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (_let_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.multiplication X1 X0)))) :args _let_71)) _let_70 :args (_let_91 false _let_69)) :args (_let_89 false _let_90 false _let_91)))) (let ((_let_98 (not _let_89))) (let ((_let_99 (forall ((A $$unsorted)) (= A (tptp.addition A tptp.zero))))) (let ((_let_100 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_101 (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A))))) (let ((_let_102 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_103 (forall ((A $$unsorted)) (= tptp.zero (tptp.multiplication tptp.zero A))))) (let ((_let_104 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_105 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_106 (= _let_105 _let_39))) (let ((_let_107 (or _let_51 _let_106))) (let ((_let_108 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_109 (= tptp.one _let_108))) (let ((_let_110 (and _let_65 _let_26 _let_109))) (let ((_let_111 (= _let_105 _let_110))) (let ((_let_112 (= _let_63 _let_108))) (let ((_let_113 (and _let_64 _let_112))) (let ((_let_114 (ASSUME :args (_let_112)))) (let ((_let_115 (ASSUME :args (_let_64)))) (let ((_let_116 (not _let_26))) (let ((_let_117 (forall ((A $$unsorted)) (= A (tptp.addition A A))))) (let ((_let_118 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_119 (_let_12))) (let ((_let_120 (ASSUME :args _let_119))) (let ((_let_121 (_let_7))) (let ((_let_122 (ASSUME :args _let_121))) (let ((_let_123 (and _let_53 _let_21 _let_25 _let_26 _let_34 _let_35 _let_29 _let_30 _let_33 _let_36 _let_37 _let_38 _let_39 _let_41 _let_43 _let_45 _let_46))) (let ((_let_124 (ASSUME :args (_let_53)))) (let ((_let_125 (APPLY_UF tptp.multiplication))) (let ((_let_126 (REFL :args (_let_14)))) (let ((_let_127 (ASSUME :args (_let_21)))) (let ((_let_128 (ASSUME :args (_let_25)))) (let ((_let_129 (ASSUME :args (_let_30)))) (let ((_let_130 (APPLY_UF tptp.addition))) (let ((_let_131 (ASSUME :args (_let_34)))) (let ((_let_132 (ASSUME :args (_let_38)))) (let ((_let_133 (ASSUME :args (_let_26)))) (let ((_let_134 (SYMM _let_133))) (let ((_let_135 (ASSUME :args (_let_39)))) (let ((_let_136 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_137 (CONG _let_136 (SYMM (SYMM _let_135)) :args _let_125))) (let ((_let_138 (ASSUME :args (_let_33)))) (let ((_let_139 (ASSUME :args (_let_37)))) (let ((_let_140 (ASSUME :args (_let_35)))) (let ((_let_141 (ASSUME :args (_let_29)))) (let ((_let_142 (ASSUME :args (_let_43)))) (let ((_let_143 (ASSUME :args (_let_46)))) (let ((_let_144 (ASSUME :args (_let_45)))) (let ((_let_145 (ASSUME :args (_let_36)))) (let ((_let_146 (CONG _let_126 (SYMM _let_131) :args _let_130))) (let ((_let_147 (ASSUME :args (_let_41)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_123)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_144 _let_142 _let_147 _let_124 _let_127 _let_141 _let_138 _let_133 _let_131 _let_135 _let_140 _let_129 _let_143 _let_145 _let_128 _let_139 _let_132) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS (CONG _let_136 (SYMM _let_147) :args _let_125) (CONG _let_136 (TRANS (CONG (TRANS (TRANS _let_145 (SYMM _let_146)) (TRANS _let_146 (SYMM _let_145) _let_139 (CONG (TRANS _let_140 _let_141) _let_126 :args _let_125))) (REFL :args (_let_31)) :args _let_130) (SYMM _let_144)) :args _let_125) (CONG _let_136 (TRANS (CONG (TRANS (TRANS (SYMM (SYMM _let_143)) (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (SYMM _let_142) :args _let_130) (SYMM _let_141)) (SYMM _let_140)) _let_126 :args _let_125) (SYMM _let_139)) :args _let_125) _let_137 _let_134) (TRANS (CONG (SYMM _let_138) (TRANS _let_137 _let_134 (SYMM (SYMM _let_132)) (CONG _let_131 _let_126 :args _let_125)) :args _let_130) (SYMM _let_129) (SYMM _let_128) (CONG (SYMM _let_127) _let_126 :args _let_125)) :args (=)) (FALSE_INTRO _let_124))) :args (_let_45 _let_43 _let_41 _let_53 _let_21 _let_29 _let_33 _let_26 _let_34 _let_39 _let_35 _let_30 _let_46 _let_36 _let_25 _let_37 _let_38))) :args (_let_53 _let_21 _let_25 _let_26 _let_34 _let_35 _let_29 _let_30 _let_33 _let_36 _let_37 _let_38 _let_39 _let_41 _let_43 _let_45 _let_46))) :args (true _let_123)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_53) _let_17))) (REFL :args ((not _let_21))) (REFL :args ((not _let_25))) (REFL :args (_let_116)) (REFL :args ((not _let_34))) (REFL :args ((not _let_35))) (REFL :args ((not _let_29))) (REFL :args ((not _let_30))) (REFL :args ((not _let_33))) (REFL :args ((not _let_36))) (REFL :args ((not _let_37))) (REFL :args ((not _let_38))) (REFL :args ((not _let_39))) (REFL :args ((not _let_41))) (REFL :args ((not _let_43))) (REFL :args ((not _let_45))) (REFL :args ((not _let_46))) (REFL :args ((not _let_47))) :args _let_57)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_122 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_31 _let_14 QUANTIFIERS_INST_E_MATCHING ((tptp.multiplication A (tptp.addition B C))))) :args _let_121)) _let_122 :args (_let_47 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_120 :args (_let_15 _let_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING ((tptp.addition A (tptp.addition B C))))) :args _let_119))) _let_120 :args (_let_46 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (_let_27 _let_15 _let_14 QUANTIFIERS_INST_E_MATCHING ((tptp.addition (tptp.multiplication A C) (tptp.multiplication B C))))) :args _let_60)) _let_61 :args (_let_45 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (_let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.addition A A)))) :args (_let_117))) _let_118 :args (_let_43 false _let_117)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (_let_14 _let_31 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_86)) :args _let_84)) _let_85 :args (_let_41 false _let_13)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_106)) :args ((or (not _let_105) _let_39 (not _let_106)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_111)) :args ((or _let_105 (not _let_110) (not _let_111)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_110)) :args ((or _let_116 (not _let_65) _let_110 (not _let_109)))) _let_83 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_66 1)) :args ((or _let_65 _let_82))) _let_81 :args (_let_65 false _let_66)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_113)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_114 _let_115) (SCOPE (TRANS (SYMM (SYMM _let_115)) (SYMM (SYMM _let_114))) :args (_let_112 _let_64))) :args (_let_64 _let_112))) :args (true _let_113)) :args ((or (not _let_64) _let_109 (not _let_112)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_66 2)) :args ((or _let_64 _let_82))) _let_81 :args (_let_64 false _let_66)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_86)) :args _let_84)) _let_85 :args (_let_112 false _let_13)) :args (_let_109 false _let_64 false _let_112)) :args (_let_110 false _let_26 false _let_65 false _let_109)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.multiplication X0 X1)))) :args _let_71)) _let_70 :args (_let_111 false _let_69)) :args (_let_105 false _let_110 false _let_111)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_107)) :args ((or _let_51 _let_106 (not _let_107)))) _let_78 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_94 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_96)) :args _let_95))) _let_94 :args (_let_107 false _let_93)) :args (_let_106 false _let_50 false _let_107)) :args (_let_39 false _let_105 false _let_106)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (_let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.multiplication tptp.zero A) tptp.zero))))) :args (_let_103))) _let_104 :args (_let_38 false _let_103)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (_let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.multiplication tptp.one A)))) :args (_let_101))) _let_102 :args (_let_37 false _let_101)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (_let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.addition A tptp.zero)))) :args (_let_99))) _let_100 :args (_let_36 false _let_99)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_89 2)) :args ((or _let_35 _let_98))) _let_97 :args (_let_35 false _let_89)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_89 1)) :args ((or _let_34 _let_98))) _let_97 :args (_let_34 false _let_89)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_88 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_15 _let_14 QUANTIFIERS_INST_E_MATCHING ((tptp.multiplication A (tptp.multiplication B C))))) :args _let_87))) _let_88 :args (_let_33 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (_let_23 _let_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_86)) :args _let_84)) _let_85 :args (_let_30 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_85 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_86)) :args _let_84))) _let_85 :args (_let_29 false _let_13)) _let_83 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (_let_19 _let_18 _let_14 QUANTIFIERS_INST_E_MATCHING _let_62)) :args _let_60)) _let_61 :args (_let_25 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_15 QUANTIFIERS_INST_E_MATCHING _let_62)) :args _let_60)) _let_61 :args (_let_21 false _let_6)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_52 2)) _let_59 :args (_let_53 true _let_52)) :args (false false _let_47 false _let_46 false _let_45 false _let_43 false _let_41 false _let_39 false _let_38 false _let_37 false _let_36 false _let_35 false _let_34 false _let_33 false _let_30 false _let_29 false _let_26 false _let_25 false _let_21 true _let_17)) :args (_let_13 _let_12 _let_11 _let_10 _let_9 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.one) A)) _let_8 _let_7 _let_6 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.zero) tptp.zero)) _let_5 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= (tptp.addition A B) B))) _let_4 _let_3 _let_2 (forall ((X0 $$unsorted)) (=> (not (tptp.test X0)) (= (tptp.c X0) tptp.zero))) _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 2.91/3.11  )
% 2.91/3.11  % SZS output end Proof for KLE015+1
% 2.91/3.11  % cvc5---1.0.5 exiting
% 2.91/3.11  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------