TSTP Solution File: KLE014+2 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : KLE014+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n019.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 14.58s 14.81s
% Output   : Proof 14.58s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : KLE014+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.16/0.35  % Computer : n019.cluster.edu
% 0.16/0.35  % Model    : x86_64 x86_64
% 0.16/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35  % Memory   : 8042.1875MB
% 0.16/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35  % CPULimit   : 300
% 0.16/0.35  % WCLimit    : 300
% 0.16/0.35  % DateTime   : Tue Aug 29 11:39:58 EDT 2023
% 0.16/0.35  % CPUTime    : 
% 0.20/0.49  %----Proving TF0_NAR, FOF, or CNF
% 14.58/14.81  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.KU0YkVCVYn/cvc5---1.0.5_29375.p...
% 14.58/14.81  ------- get file name : TPTP file name is KLE014+2
% 14.58/14.81  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_29375.smt2...
% 14.58/14.81  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 14.58/14.81  --- Run --no-e-matching --full-saturate-quant at 5...
% 14.58/14.81  % SZS status Theorem for KLE014+2
% 14.58/14.81  % SZS output start Proof for KLE014+2
% 14.58/14.81  (
% 14.58/14.81  (let ((_let_1 (not (forall ((X0 $$unsorted) (X1 $$unsorted)) (=> (and (tptp.test X1) (tptp.test X0)) (= (tptp.c (tptp.addition X0 X1)) (tptp.multiplication (tptp.c X0) (tptp.c X1)))))))) (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)) (= (tptp.multiplication A tptp.zero) tptp.zero)))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C)))))) (let ((_let_9 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.one A) A)))) (let ((_let_10 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.one) A)))) (let ((_let_11 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))))) (let ((_let_12 (forall ((A $$unsorted)) (= (tptp.addition A A) A)))) (let ((_let_13 (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)))) (let ((_let_14 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))))) (let ((_let_15 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))) (let ((_let_16 (tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_17 (tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_18 (tptp.multiplication _let_17 _let_16))) (let ((_let_19 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_20 (tptp.complement _let_19 _let_18))) (let ((_let_21 (= (tptp.c _let_19) _let_18))) (let ((_let_22 (= _let_21 _let_20))) (let ((_let_23 (tptp.test _let_19))) (let ((_let_24 (not _let_23))) (let ((_let_25 (or _let_24 _let_22))) (let ((_let_26 (forall ((X0 $$unsorted) (X1 $$unsorted)) (or (not (tptp.test X0)) (= (tptp.complement X0 X1) (= X1 (tptp.c X0))))))) (let ((_let_27 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_28 (_let_26))) (let ((_let_29 (_let_19 _let_18 QUANTIFIERS_INST_ENUM))) (let ((_let_30 (not _let_22))) (let ((_let_31 (tptp.addition _let_18 _let_19))) (let ((_let_32 (= tptp.one _let_31))) (let ((_let_33 (tptp.multiplication _let_19 _let_18))) (let ((_let_34 (= tptp.zero _let_33))) (let ((_let_35 (= tptp.zero (tptp.multiplication _let_18 _let_19)))) (let ((_let_36 (and _let_35 _let_34 _let_32))) (let ((_let_37 (= _let_20 _let_36))) (let ((_let_38 (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_39 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_40 (_let_38))) (let ((_let_41 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_42 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_19))) (let ((_let_43 (= (tptp.addition _let_41 _let_42) (tptp.addition (tptp.addition _let_41 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) _let_19)))) (let ((_let_44 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_45 (tptp.addition _let_44 _let_41))) (let ((_let_46 (= (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_45) (tptp.addition (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_44) _let_41)))) (let ((_let_47 (= (tptp.addition _let_19 _let_41) (tptp.addition _let_41 _let_19)))) (let ((_let_48 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_49 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.one))) (let ((_let_50 (= (tptp.multiplication _let_49 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.addition _let_41 _let_48)))) (let ((_let_51 (tptp.addition tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_52 (= _let_51 _let_49))) (let ((_let_53 (tptp.multiplication _let_19 _let_19))) (let ((_let_54 (tptp.multiplication _let_19 _let_16))) (let ((_let_55 (tptp.addition _let_54 _let_53))) (let ((_let_56 (= (tptp.addition _let_18 _let_55) (tptp.addition (tptp.addition _let_18 _let_54) _let_53)))) (let ((_let_57 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_19))) (let ((_let_58 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_19))) (let ((_let_59 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_60 (= (tptp.multiplication _let_59 _let_19) (tptp.addition _let_58 _let_57)))) (let ((_let_61 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.zero))) (let ((_let_62 (tptp.addition tptp.zero _let_19))) (let ((_let_63 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_62) (tptp.addition _let_61 _let_58)))) (let ((_let_64 (tptp.addition _let_19 tptp.zero))) (let ((_let_65 (= _let_64 _let_62))) (let ((_let_66 (tptp.addition _let_16 _let_19))) (let ((_let_67 (= (tptp.multiplication _let_19 _let_66) _let_55))) (let ((_let_68 (tptp.addition _let_19 _let_19))) (let ((_let_69 (= _let_68 (tptp.addition (tptp.addition _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_70 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_16))) (let ((_let_71 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_16))) (let ((_let_72 (= _let_54 (tptp.addition _let_71 _let_70)))) (let ((_let_73 (= _let_71 (tptp.addition _let_71 tptp.zero)))) (let ((_let_74 (= _let_42 (tptp.addition _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_75 (tptp.addition _let_16 _let_59))) (let ((_let_76 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_75) (tptp.addition _let_70 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_59))))) (let ((_let_77 (= _let_19 (tptp.multiplication _let_19 tptp.one)))) (let ((_let_78 (= _let_19 _let_68))) (let ((_let_79 (tptp.addition _let_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_80 (= _let_75 (tptp.addition _let_79 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_81 (tptp.multiplication _let_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_82 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_83 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_16))) (let ((_let_84 (= (tptp.multiplication _let_83 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.addition _let_82 _let_81)))) (let ((_let_85 (= tptp.one _let_79))) (let ((_let_86 (= _let_18 (tptp.addition _let_18 _let_18)))) (let ((_let_87 (= _let_83 _let_79))) (let ((_let_88 (= tptp.zero _let_81))) (let ((_let_89 (= tptp.zero _let_70))) (let ((_let_90 (tptp.multiplication _let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_91 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_17))) (let ((_let_92 (= (tptp.multiplication _let_91 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.addition _let_44 _let_90)))) (let ((_let_93 (tptp.addition _let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_94 (= tptp.one _let_93))) (let ((_let_95 (= _let_82 (tptp.multiplication tptp.one _let_82)))) (let ((_let_96 (= tptp.zero _let_90))) (let ((_let_97 (tptp.addition _let_18 _let_71))) (let ((_let_98 (= (tptp.multiplication _let_93 _let_16) _let_97))) (let ((_let_99 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.zero))) (let ((_let_100 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.zero))) (let ((_let_101 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_100) (tptp.addition _let_44 _let_99)))) (let ((_let_102 (= _let_82 (tptp.addition _let_82 tptp.zero)))) (let ((_let_103 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_104 (= (tptp.addition _let_17 _let_103) (tptp.addition _let_93 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_105 (= _let_91 _let_93))) (let ((_let_106 (= tptp.zero _let_61))) (let ((_let_107 (= _let_57 _let_45))) (let ((_let_108 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.one)))) (let ((_let_109 (= (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_103) (tptp.addition _let_59 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_110 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_48))) (let ((_let_111 (= _let_19 _let_64))) (let ((_let_112 (= _let_16 (tptp.multiplication tptp.one _let_16)))) (let ((_let_113 (= tptp.zero (tptp.multiplication tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_114 (= tptp.zero _let_99))) (let ((_let_115 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_116 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_103))) (let ((_let_117 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_100))) (let ((_let_118 (= _let_19 _let_59))) (let ((_let_119 (_let_14))) (let ((_let_120 (ASSUME :args _let_119))) (let ((_let_121 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_120 :args (_let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_41 QUANTIFIERS_INST_CBQI_PROP)) :args _let_119)) _let_120 :args (_let_43 false _let_14)))) (let ((_let_122 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_120 :args (_let_41 _let_44 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_PROP)) :args _let_119)) _let_120 :args (_let_46 false _let_14)))) (let ((_let_123 (_let_15))) (let ((_let_124 (ASSUME :args _let_123))) (let ((_let_125 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (_let_19 _let_41 QUANTIFIERS_INST_ENUM)) :args _let_123)) _let_124 :args (_let_47 false _let_15)))) (let ((_let_126 (_let_7))) (let ((_let_127 (ASSUME :args _let_126))) (let ((_let_128 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_127 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_PROP)) :args _let_126)) _let_127 :args (_let_50 false _let_7)))) (let ((_let_129 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM)) :args _let_123)) _let_124 :args (_let_52 false _let_15)))) (let ((_let_130 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_120 :args (_let_53 _let_54 _let_18 QUANTIFIERS_INST_CBQI_PROP)) :args _let_119)) _let_120 :args (_let_56 false _let_14)))) (let ((_let_131 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_19 QUANTIFIERS_INST_CBQI_PROP))) (let ((_let_132 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_127 :args _let_131) :args _let_126)) _let_127 :args (_let_60 false _let_7)))) (let ((_let_133 (_let_8))) (let ((_let_134 (ASSUME :args _let_133))) (let ((_let_135 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_134 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.zero _let_19 QUANTIFIERS_INST_CBQI_PROP)) :args _let_133)) _let_134 :args (_let_63 false _let_8)))) (let ((_let_136 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (_let_19 tptp.zero QUANTIFIERS_INST_ENUM)) :args _let_123)) _let_124 :args (_let_65 false _let_15)))) (let ((_let_137 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_134 :args (_let_19 _let_16 _let_19 QUANTIFIERS_INST_ENUM)) :args _let_133)) _let_134 :args (_let_67 false _let_8)))) (let ((_let_138 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_120 :args _let_131) :args _let_119)) _let_120 :args (_let_69 false _let_14)))) (let ((_let_139 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_16 QUANTIFIERS_INST_CBQI_PROP))) (let ((_let_140 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_127 :args _let_139) :args _let_126)) _let_127 :args (_let_72 false _let_7)))) (let ((_let_141 (forall ((A $$unsorted)) (= A (tptp.addition A tptp.zero))))) (let ((_let_142 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_143 (_let_141))) (let ((_let_144 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_142 :args (_let_71 QUANTIFIERS_INST_ENUM)) :args _let_143)) _let_142 :args (_let_73 false _let_141)))) (let ((_let_145 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_124 :args (_let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_ENUM)) :args _let_123))) _let_124 :args (_let_74 false _let_15)))) (let ((_let_146 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_134 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_16 _let_59 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_133)) _let_134 :args (_let_76 false _let_8)))) (let ((_let_147 (forall ((A $$unsorted)) (= A (tptp.multiplication A tptp.one))))) (let ((_let_148 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_149 (_let_147))) (let ((_let_150 (_let_19 QUANTIFIERS_INST_ENUM))) (let ((_let_151 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_148 :args _let_150) :args _let_149)) _let_148 :args (_let_77 false _let_147)))) (let ((_let_152 (forall ((A $$unsorted)) (= A (tptp.addition A A))))) (let ((_let_153 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_154 (_let_152))) (let ((_let_155 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_153 :args _let_150) :args _let_154)) _let_153 :args (_let_78 false _let_152)))) (let ((_let_156 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_120 :args _let_139) :args _let_119)) _let_120 :args (_let_80 false _let_14)))) (let ((_let_157 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_127 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_PROP)) :args _let_126)) _let_127 :args (_let_84 false _let_7)))) (let ((_let_158 (and _let_88 _let_89 _let_85))) (let ((_let_159 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_16))) (let ((_let_160 (= _let_159 _let_158))) (let ((_let_161 (tptp.test SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_162 (not _let_161))) (let ((_let_163 (or _let_162 _let_159))) (let ((_let_164 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_16 QUANTIFIERS_INST_ENUM))) (let ((_let_165 (tptp.test SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_166 (not _let_165))) (let ((_let_167 (or _let_162 _let_166 _let_21))) (let ((_let_168 (forall ((X0 $$unsorted) (X1 $$unsorted)) (or (not (tptp.test X1)) (not (tptp.test X0)) (= (tptp.c (tptp.addition X0 X1)) (tptp.multiplication (tptp.c X0) (tptp.c X1))))))) (let ((_let_169 (not _let_167))) (let ((_let_170 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_171 (or))) (let ((_let_172 (not _let_168))) (let ((_let_173 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_170) :args (_let_172))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_172) _let_168))) (REFL :args (_let_169)) :args _let_171)) _let_170 :args (_let_169 true _let_168)))) (let ((_let_174 (REFL :args (_let_167)))) (let ((_let_175 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_let_112 false _let_450 false _let_449 false _let_448 false _let_105 false _let_104 false _let_447 false _let_446 false _let_445 false _let_444 false _let_443 false _let_98 false _let_440 false _let_439 false _let_185 false _let_96 false _let_437 false _let_436 false _let_435 false _let_434 false _let_94 false _let_433 false _let_432 false _let_89 false _let_88 false _let_431 false _let_430 false _let_429 false _let_428 false _let_85 false _let_425 false _let_80 false _let_424 false _let_423 false _let_422 false _let_421 false _let_420 false _let_419 false _let_418 false _let_417 false _let_415 false _let_73 false _let_72 false _let_413 false _let_412 false _let_411 false _let_409 false _let_408 false _let_406 false _let_403 false _let_400 false _let_399 false _let_398 false _let_397 false _let_396 false _let_395 false _let_394 false _let_391 false _let_389 false _let_387 false _let_386 false _let_385 false _let_382 false _let_379 false _let_376 false _let_375 false _let_373 false _let_369 false _let_367 false _let_365 false _let_362)))) (let ((_let_592 (and _let_118 _let_116 _let_112 _let_105 _let_104 _let_439 _let_444 _let_94 _let_440 _let_185 _let_89 _let_431 _let_85 _let_425 _let_423 _let_422 _let_421 _let_415 _let_412 _let_398 _let_396 _let_394 _let_365))) (let ((_let_593 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_592)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_533 _let_536 _let_544 _let_512 _let_291 _let_522 _let_525 _let_278 _let_538 _let_359 _let_540 _let_552 _let_529 _let_276 _let_549 _let_542 _let_524 _let_336 _let_539 _let_531 _let_282 _let_306 _let_285) (SCOPE (TRANS _let_306 (CONG _let_303 (TRANS _let_360 (CONG (TRANS _let_553 _let_551 _let_550 (CONG (TRANS (TRANS _let_548 _let_283 _let_281 _let_277) _let_547) _let_280 :args _let_273) _let_546 _let_545) _let_294 :args _let_275) _let_543 _let_541 _let_537 _let_535) :args _let_275) _let_534 _let_532 _let_523) :args (_let_365 _let_396 _let_398 _let_423 _let_118 _let_412 _let_185 _let_116 _let_431 _let_112 _let_439 _let_444 _let_422 _let_94 _let_425 _let_394 _let_421 _let_105 _let_440 _let_415 _let_104 _let_89 _let_85))) :args (_let_118 _let_116 _let_112 _let_105 _let_104 _let_439 _let_444 _let_94 _let_440 _let_185 _let_89 _let_431 _let_85 _let_425 _let_423 _let_422 _let_421 _let_415 _let_412 _let_398 _let_396 _let_394 _let_365))) :args (true _let_592)) :args ((or _let_271 _let_269 _let_265 _let_258 _let_257 _let_487 _let_486 _let_485 _let_484 _let_251 _let_249 _let_483 _let_245 _let_482 _let_481 _let_480 _let_479 _let_478 _let_34 _let_477 _let_476 _let_475 _let_474 _let_473))) _let_225 _let_223 _let_215 _let_203 _let_202 _let_471 _let_470 _let_469 _let_468 _let_193 _let_182 _let_466 _let_177 _let_465 _let_464 _let_463 _let_462 _let_461 _let_460 _let_458 _let_457 _let_455 _let_454 :args (_let_34 false _let_118 false _let_116 false _let_112 false _let_105 false _let_104 false _let_444 false _let_440 false _let_439 false _let_185 false _let_94 false _let_89 false _let_431 false _let_85 false _let_425 false _let_423 false _let_422 false _let_421 false _let_415 false _let_412 false _let_398 false _let_396 false _let_394 false _let_365)))) (let ((_let_594 (forall ((X1 $$unsorted)) (not (tptp.complement X1 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))))) (let ((_let_595 (not _let_594))) (let ((_let_596 (= _let_23 _let_595))) (let ((_let_597 (forall ((X0 $$unsorted)) (= (tptp.test X0) (not (forall ((X1 $$unsorted)) (not (tptp.complement X1 X0)))))))) (let ((_let_598 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_599 (tptp.complement _let_18 _let_19))) (let ((_let_600 (tptp.addition _let_19 _let_18))) (let ((_let_601 (= tptp.one _let_600))) (let ((_let_602 (and _let_34 _let_35 _let_601))) (let ((_let_603 (= _let_599 _let_602))) (let ((_let_604 (= _let_600 _let_31))) (let ((_let_605 (and _let_118 _let_117 _let_116 _let_115 _let_114 _let_113 _let_112 _let_111 _let_110 _let_109 _let_108 _let_107 _let_106 _let_105 _let_104 _let_102 _let_101 _let_98 _let_94 _let_96 _let_95 _let_92 _let_89 _let_88 _let_87 _let_86 _let_85 _let_84 _let_80 _let_78 _let_77 _let_604 _let_76 _let_74 _let_73 _let_72 _let_69 _let_67 _let_65 _let_63 _let_60 _let_56 _let_52 _let_50 _let_47 _let_46 _let_43))) (let ((_let_606 (ASSUME :args (_let_604)))) (let ((_let_607 (_let_594))) (let ((_let_608 (not _let_596))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_25)) :args ((or _let_24 _let_22 (not _let_25)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args (_let_596)) (CONG (REFL :args (_let_608)) (REFL :args (_let_23)) (MACRO_SR_PRED_INTRO :args ((= (not _let_595) _let_594))) :args _let_171)) :args ((or _let_23 _let_594 _let_608))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_607) :args (_let_18 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_607)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_603)) :args ((or _let_599 (not _let_602) (not _let_603)))) (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_602)) _let_593 _let_591 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_605)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_606 _let_361) (SCOPE (TRANS (SYMM (SYMM (ASSUME :args (_let_32)))) (SYMM _let_606)) :args (_let_604 _let_32))) :args (_let_118 _let_117 _let_116 _let_115 _let_114 _let_113 _let_112 _let_111 _let_110 _let_109 _let_108 _let_107 _let_106 _let_105 _let_104 _let_102 _let_101 _let_98 _let_94 _let_96 _let_95 _let_92 _let_89 _let_88 _let_87 _let_86 _let_85 _let_84 _let_80 _let_78 _let_77 _let_604 _let_76 _let_74 _let_73 _let_72 _let_69 _let_67 _let_65 _let_63 _let_60 _let_56 _let_52 _let_50 _let_47 _let_46 _let_43))) :args (true _let_605)) :args ((or _let_271 _let_270 _let_269 _let_268 _let_267 _let_266 _let_265 _let_264 _let_263 _let_262 _let_261 _let_260 _let_259 _let_258 _let_257 _let_256 _let_255 _let_254 _let_253 _let_252 _let_251 _let_250 _let_249 _let_248 _let_247 _let_246 _let_245 _let_244 _let_243 _let_242 _let_241 (not _let_604) _let_240 _let_601 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228 _let_227 _let_226))) _let_225 _let_224 _let_223 _let_222 _let_221 _let_220 _let_215 _let_214 _let_213 _let_212 _let_211 _let_210 _let_208 _let_203 _let_202 _let_201 _let_200 _let_199 _let_198 _let_197 _let_193 _let_183 _let_182 _let_181 _let_180 _let_179 _let_177 _let_157 _let_156 _let_155 _let_151 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args _let_29) :args _let_123)) _let_124 :args (_let_604 false _let_15)) _let_146 _let_145 _let_144 _let_140 _let_138 _let_137 _let_136 _let_135 _let_132 _let_130 _let_129 _let_128 _let_125 _let_122 _let_121 :args (_let_601 false _let_118 false _let_117 false _let_116 false _let_115 false _let_114 false _let_113 false _let_112 false _let_111 false _let_110 false _let_109 false _let_108 false _let_107 false _let_106 false _let_105 false _let_104 false _let_102 false _let_101 false _let_98 false _let_96 false _let_95 false _let_94 false _let_92 false _let_89 false _let_88 false _let_87 false _let_86 false _let_85 false _let_84 false _let_80 false _let_78 false _let_77 false _let_604 false _let_76 false _let_74 false _let_73 false _let_72 false _let_69 false _let_67 false _let_65 false _let_63 false _let_60 false _let_56 false _let_52 false _let_50 false _let_47 false _let_46 false _let_43)) :args (_let_602 false _let_34 false _let_35 false _let_601)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args _let_29) :args _let_40)) _let_39 :args (_let_603 false _let_38)) :args (_let_599 false _let_602 false _let_603)) :args (_let_595 false _let_599)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_598 :args _let_150) :args (_let_597))) _let_598 :args (_let_596 false _let_597)) :args (_let_23 true _let_594 false _let_596)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_22)) :args ((or _let_21 (not _let_20) _let_30))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_167 2)) _let_173 :args ((not _let_21) true _let_167)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_37)) :args ((or _let_20 (not _let_36) (not _let_37)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_36)) :args ((or (not _let_34) (not _let_35) _let_36 (not _let_32)))) _let_593 _let_591 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_272)) (IMPLIES_ELIM (SCOPE _let_361 :args (_let_118 _let_117 _let_116 _let_115 _let_114 _let_113 _let_112 _let_111 _let_110 _let_109 _let_108 _let_107 _let_106 _let_105 _let_104 _let_102 _let_101 _let_98 _let_94 _let_96 _let_95 _let_92 _let_89 _let_88 _let_87 _let_86 _let_85 _let_84 _let_80 _let_78 _let_77 _let_76 _let_74 _let_73 _let_72 _let_69 _let_67 _let_65 _let_63 _let_60 _let_56 _let_52 _let_50 _let_47 _let_46 _let_43))) :args (true _let_272)) :args ((or _let_271 _let_270 _let_269 _let_268 _let_267 _let_266 _let_265 _let_264 _let_263 _let_262 _let_261 _let_260 _let_259 _let_258 _let_257 _let_256 _let_255 _let_254 _let_253 _let_252 _let_251 _let_250 _let_249 _let_248 _let_247 _let_246 _let_245 _let_244 _let_243 _let_242 _let_241 _let_240 _let_239 _let_238 _let_32 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228 _let_227 _let_226))) _let_225 _let_224 _let_223 _let_222 _let_221 _let_220 _let_215 _let_214 _let_213 _let_212 _let_211 _let_210 _let_208 _let_203 _let_202 _let_201 _let_200 _let_199 _let_198 _let_197 _let_193 _let_183 _let_182 _let_181 _let_180 _let_179 _let_177 _let_157 _let_156 _let_155 _let_151 _let_146 _let_145 _let_144 _let_140 _let_138 _let_137 _let_136 _let_135 _let_132 _let_130 _let_129 _let_128 _let_125 _let_122 _let_121 :args (_let_32 false _let_118 false _let_117 false _let_116 false _let_115 false _let_114 false _let_113 false _let_112 false _let_111 false _let_110 false _let_109 false _let_108 false _let_107 false _let_106 false _let_105 false _let_104 false _let_102 false _let_101 false _let_98 false _let_96 false _let_95 false _let_94 false _let_92 false _let_89 false _let_88 false _let_87 false _let_86 false _let_85 false _let_84 false _let_80 false _let_78 false _let_77 false _let_76 false _let_74 false _let_73 false _let_72 false _let_69 false _let_67 false _let_65 false _let_63 false _let_60 false _let_56 false _let_52 false _let_50 false _let_47 false _let_46 false _let_43)) :args (_let_36 false _let_34 false _let_35 false _let_32)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (_let_18 _let_19 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_40)) _let_39 :args (_let_37 false _let_38)) :args (_let_20 false _let_36 false _let_37)) :args (_let_30 true _let_21 false _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_27 :args _let_29) :args _let_28))) _let_27 :args (_let_25 false _let_26)) :args (false false _let_23 true _let_22 false _let_25)) :args (_let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 _let_7 _let_6 _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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 14.58/14.82  )
% 14.58/14.82  % SZS output end Proof for KLE014+2
% 14.58/14.82  % cvc5---1.0.5 exiting
% 14.58/14.82  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------