%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : KLE091+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n002.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 05:27:14 EDT 2023

% Result   : Theorem 29.12s 29.30s
% Output   : Proof 29.12s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : KLE091+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.36  % Computer : n002.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Aug 29 12:28:35 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.21/0.50  %----Proving TF0_NAR, FOF, or CNF
% 29.12/29.30  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.8NWgVNwWyZ/cvc5---1.0.5_7542.p...
% 29.12/29.30  ------- get file name : TPTP file name is KLE091+1
% 29.12/29.30  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_7542.smt2...
% 29.12/29.30  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 29.12/29.30  --- Run --no-e-matching --full-saturate-quant at 5...
% 29.12/29.30  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 29.12/29.30  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 29.12/29.30  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 29.12/29.30  % SZS status Theorem for KLE091+1
% 29.12/29.30  % SZS output start Proof for KLE091+1
% 29.12/29.30  (
% 29.12/29.30  (let ((_let_1 (not (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.codomain X0))) (= (tptp.domain _let_1) _let_1)))))) (let ((_let_2 (forall ((X0 $$unsorted)) (= (tptp.codomain X0) (tptp.coantidomain (tptp.coantidomain X0)))))) (let ((_let_3 (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.coantidomain X0))) (= (tptp.addition (tptp.coantidomain _let_1) _let_1) tptp.one))))) (let ((_let_4 (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.coantidomain (tptp.multiplication (tptp.coantidomain (tptp.coantidomain X0)) X1)))) (= (tptp.addition (tptp.coantidomain (tptp.multiplication X0 X1)) _let_1) _let_1))))) (let ((_let_5 (forall ((X0 $$unsorted)) (= (tptp.multiplication X0 (tptp.coantidomain X0)) tptp.zero)))) (let ((_let_6 (forall ((X0 $$unsorted)) (= (tptp.domain X0) (tptp.antidomain (tptp.antidomain X0)))))) (let ((_let_7 (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.antidomain X0))) (= (tptp.addition (tptp.antidomain _let_1) _let_1) tptp.one))))) (let ((_let_8 (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.antidomain (tptp.multiplication X0 (tptp.antidomain (tptp.antidomain X1)))))) (= (tptp.addition (tptp.antidomain (tptp.multiplication X0 X1)) _let_1) _let_1))))) (let ((_let_9 (forall ((X0 $$unsorted)) (= (tptp.multiplication (tptp.antidomain X0) X0) tptp.zero)))) (let ((_let_10 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.zero A) tptp.zero)))) (let ((_let_11 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))))) (let ((_let_12 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C)))))) (let ((_let_13 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.one A) A)))) (let ((_let_14 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.one) A)))) (let ((_let_15 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))))) (let ((_let_16 (forall ((A $$unsorted)) (= (tptp.addition A A) A)))) (let ((_let_17 (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)))) (let ((_let_18 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))))) (let ((_let_19 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))) (let ((_let_20 (tptp.coantidomain SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_21 (tptp.coantidomain _let_20))) (let ((_let_22 (tptp.codomain SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_23 (= _let_22 _let_21))) (let ((_let_24 (tptp.antidomain _let_22))) (let ((_let_25 (tptp.multiplication _let_24 _let_22))) (let ((_let_26 (= tptp.zero _let_25))) (let ((_let_27 (tptp.antidomain _let_24))) (let ((_let_28 (= tptp.zero (tptp.multiplication _let_27 _let_24)))) (let ((_let_29 (tptp.addition _let_27 _let_24))) (let ((_let_30 (= tptp.one _let_29))) (let ((_let_31 (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_20)))) (let ((_let_32 (= tptp.zero (tptp.multiplication _let_20 _let_21)))) (let ((_let_33 (tptp.addition _let_21 _let_20))) (let ((_let_34 (= tptp.one _let_33))) (let ((_let_35 (tptp.addition _let_20 _let_21))) (let ((_let_36 (= _let_33 _let_35))) (let ((_let_37 (tptp.addition _let_24 _let_27))) (let ((_let_38 (= _let_29 _let_37))) (let ((_let_39 (= _let_24 (tptp.multiplication tptp.one _let_24)))) (let ((_let_40 (tptp.coantidomain _let_21))) (let ((_let_41 (tptp.multiplication _let_40 _let_24))) (let ((_let_42 (tptp.coantidomain _let_41))) (let ((_let_43 (tptp.multiplication _let_20 _let_24))) (let ((_let_44 (tptp.coantidomain _let_43))) (let ((_let_45 (tptp.addition _let_44 _let_42))) (let ((_let_46 (= _let_42 _let_45))) (let ((_let_47 (tptp.addition _let_27 _let_27))) (let ((_let_48 (= (tptp.addition _let_27 _let_29) (tptp.addition _let_47 _let_24)))) (let ((_let_49 (tptp.antidomain _let_27))) (let ((_let_50 (tptp.addition _let_49 _let_27))) (let ((_let_51 (= tptp.one _let_50))) (let ((_let_52 (tptp.addition _let_27 _let_49))) (let ((_let_53 (= (tptp.addition _let_27 _let_50) (tptp.addition _let_52 _let_27)))) (let ((_let_54 (= _let_50 _let_52))) (let ((_let_55 (tptp.addition _let_42 _let_27))) (let ((_let_56 (tptp.addition _let_27 _let_42))) (let ((_let_57 (= _let_56 _let_55))) (let ((_let_58 (tptp.addition _let_42 _let_20))) (let ((_let_59 (= (tptp.addition _let_44 _let_58) (tptp.addition _let_45 _let_20)))) (let ((_let_60 (tptp.addition _let_27 _let_56))) (let ((_let_61 (= _let_60 (tptp.addition _let_47 _let_42)))) (let ((_let_62 (= (tptp.addition _let_56 _let_24) (tptp.addition _let_24 _let_56)))) (let ((_let_63 (= (tptp.addition _let_42 _let_29) (tptp.addition _let_55 _let_24)))) (let ((_let_64 (tptp.addition _let_21 _let_42))) (let ((_let_65 (tptp.addition _let_21 _let_58))) (let ((_let_66 (= _let_65 (tptp.addition _let_64 _let_20)))) (let ((_let_67 (tptp.addition _let_42 _let_21))) (let ((_let_68 (= (tptp.addition _let_42 _let_33) (tptp.addition _let_67 _let_20)))) (let ((_let_69 (tptp.coantidomain _let_42))) (let ((_let_70 (tptp.addition _let_69 _let_42))) (let ((_let_71 (= tptp.one _let_70))) (let ((_let_72 (= _let_64 _let_67))) (let ((_let_73 (tptp.antidomain tptp.one))) (let ((_let_74 (tptp.multiplication _let_73 tptp.one))) (let ((_let_75 (= tptp.zero _let_74))) (let ((_let_76 (tptp.antidomain _let_73))) (let ((_let_77 (tptp.multiplication tptp.zero _let_76))) (let ((_let_78 (tptp.antidomain _let_77))) (let ((_let_79 (= _let_78 (tptp.addition (tptp.antidomain (tptp.multiplication tptp.zero tptp.one)) _let_78)))) (let ((_let_80 (= tptp.one (tptp.addition _let_76 _let_73)))) (let ((_let_81 (= _let_73 _let_74))) (let ((_let_82 (= tptp.zero _let_77))) (let ((_let_83 (= (tptp.addition _let_20 _let_33) (tptp.addition _let_35 _let_20)))) (let ((_let_84 (= (tptp.addition _let_20 _let_65) (tptp.addition _let_35 _let_58)))) (let ((_let_85 (= (tptp.addition _let_69 _let_55) (tptp.addition _let_70 _let_27)))) (let ((_let_86 (= _let_20 (tptp.multiplication _let_20 tptp.one)))) (let ((_let_87 (= _let_43 (tptp.addition _let_43 tptp.zero)))) (let ((_let_88 (tptp.multiplication tptp.one _let_20))) (let ((_let_89 (= _let_20 _let_88))) (let ((_let_90 (tptp.multiplication _let_20 _let_27))) (let ((_let_91 (= (tptp.multiplication _let_20 _let_37) (tptp.addition _let_43 _let_90)))) (let ((_let_92 (tptp.antidomain _let_90))) (let ((_let_93 (tptp.antidomain (tptp.multiplication _let_20 _let_22)))) (let ((_let_94 (tptp.addition _let_93 _let_92))) (let ((_let_95 (= _let_92 _let_94))) (let ((_let_96 (= _let_94 (tptp.addition _let_92 _let_93)))) (let ((_let_97 (tptp.multiplication _let_92 _let_90))) (let ((_let_98 (= tptp.zero _let_97))) (let ((_let_99 (= _let_76 (tptp.addition _let_76 tptp.zero)))) (let ((_let_100 (tptp.addition _let_56 _let_56))) (let ((_let_101 (= _let_56 _let_100))) (let ((_let_102 (= (tptp.addition _let_69 _let_100) (tptp.addition (tptp.addition _let_69 _let_56) _let_56)))) (let ((_let_103 (= (tptp.addition _let_24 _let_60) (tptp.addition _let_37 _let_56)))) (let ((_let_104 (tptp.multiplication _let_93 _let_90))) (let ((_let_105 (= (tptp.multiplication _let_94 _let_90) (tptp.addition _let_104 _let_97)))) (let ((_let_106 (= _let_104 (tptp.addition _let_104 tptp.zero)))) (let ((_let_107 (tptp.addition _let_20 _let_24))) (let ((_let_108 (= _let_107 (tptp.addition _let_24 _let_20)))) (let ((_let_109 (= _let_104 (tptp.multiplication (tptp.multiplication _let_93 _let_20) _let_27)))) (let ((_let_110 (= _let_27 _let_47))) (let ((_let_111 (= _let_24 _let_107))) (let ((_let_112 (= (tptp.multiplication (tptp.addition _let_70 _let_20) _let_24) (tptp.addition (tptp.multiplication _let_70 _let_24) _let_43)))) (let ((_let_113 (_let_2))) (let ((_let_114 (ASSUME :args _let_113))) (let ((_let_115 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_114 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.codomain X0)))) :args _let_113)) _let_114 :args (_let_23 false _let_2)))) (let ((_let_116 (forall ((X0 $$unsorted)) (= tptp.zero (tptp.multiplication (tptp.antidomain X0) X0))))) (let ((_let_117 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_118 (_let_116))) (let ((_let_119 ((tptp.antidomain X0)))) (let ((_let_120 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (_let_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_119)) :args _let_118)) _let_117 :args (_let_26 false _let_116)))) (let ((_let_121 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (_let_24 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_119)) :args _let_118)) _let_117 :args (_let_28 false _let_116)))) (let ((_let_122 (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.antidomain X0))) (= tptp.one (tptp.addition (tptp.antidomain _let_1) _let_1)))))) (let ((_let_123 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_124 (_let_122))) (let ((_let_125 ((tptp.antidomain (tptp.antidomain X0))))) (let ((_let_126 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_123 :args (_let_22 QUANTIFIERS_INST_E_MATCHING _let_125)) :args _let_124)) _let_123 :args (_let_30 false _let_122)))) (let ((_let_127 (forall ((X0 $$unsorted)) (= tptp.zero (tptp.multiplication X0 (tptp.coantidomain X0)))))) (let ((_let_128 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_129 (_let_127))) (let ((_let_130 ((tptp.coantidomain X0)))) (let ((_let_131 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_128 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_130)) :args _let_129)) _let_128 :args (_let_31 false _let_127)))) (let ((_let_132 (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.coantidomain X0))) (= tptp.one (tptp.addition (tptp.coantidomain _let_1) _let_1)))))) (let ((_let_133 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_134 (_let_132))) (let ((_let_135 ((tptp.coantidomain (tptp.coantidomain X0))))) (let ((_let_136 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_133 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_135)) :args _let_134)) _let_133 :args (_let_34 false _let_132)))) (let ((_let_137 (_let_19))) (let ((_let_138 (ASSUME :args _let_137))) (let ((_let_139 ((tptp.addition A B)))) (let ((_let_140 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_138 :args (_let_21 _let_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_139)) :args _let_137)) _let_138 :args (_let_36 false _let_19)))) (let ((_let_141 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_138 :args (_let_27 _let_24 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_139)) :args _let_137)) _let_138 :args (_let_38 false _let_19)))) (let ((_let_142 (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A))))) (let ((_let_143 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_144 (_let_142))) (let ((_let_145 (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.coantidomain (tptp.multiplication (tptp.coantidomain (tptp.coantidomain X0)) X1)))) (= _let_1 (tptp.addition (tptp.coantidomain (tptp.multiplication X0 X1)) _let_1)))))) (let ((_let_146 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_147 (_let_18))) (let ((_let_148 (ASSUME :args _let_147))) (let ((_let_149 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_148 :args (_let_24 _let_27 _let_27 QUANTIFIERS_INST_CBQI_PROP)) :args _let_147)) _let_148 :args (_let_48 false _let_18)))) (let ((_let_150 ((tptp.addition A (tptp.addition B C))))) (let ((_let_151 ((tptp.addition (tptp.addition A B) C)))) (let ((_let_152 (tptp.one QUANTIFIERS_INST_ENUM))) (let ((_let_153 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args _let_152) :args _let_118)) _let_117 :args (_let_75 false _let_116)))) (let ((_let_154 (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.antidomain (tptp.multiplication X0 (tptp.antidomain (tptp.antidomain X1)))))) (= _let_1 (tptp.addition (tptp.antidomain (tptp.multiplication X0 X1)) _let_1)))))) (let ((_let_155 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_156 (_let_154))) (let ((_let_157 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_155 :args (tptp.zero tptp.one QUANTIFIERS_INST_ENUM)) :args _let_156)) _let_155 :args (_let_79 false _let_154)))) (let ((_let_158 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_123 :args _let_152) :args _let_124)) _let_123 :args (_let_80 false _let_122)))) (let ((_let_159 (forall ((A $$unsorted)) (= A (tptp.multiplication A tptp.one))))) (let ((_let_160 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_161 (_let_159))) (let ((_let_162 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_160 :args (_let_73 QUANTIFIERS_INST_CBQI_PROP)) :args _let_161)) _let_160 :args (_let_81 false _let_159)))) (let ((_let_163 (forall ((A $$unsorted)) (= tptp.zero (tptp.multiplication tptp.zero A))))) (let ((_let_164 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_165 (_let_76 QUANTIFIERS_INST_CBQI_PROP))) (let ((_let_166 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_164 :args _let_165) :args (_let_163))) _let_164 :args (_let_82 false _let_163)))) (let ((_let_167 (_let_20 QUANTIFIERS_INST_CBQI_PROP))) (let ((_let_168 (forall ((A $$unsorted)) (= A (tptp.addition A tptp.zero))))) (let ((_let_169 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_170 (_let_168))) (let ((_let_171 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_143 :args _let_167) :args _let_144)) _let_143 :args (_let_89 false _let_142)))) (let ((_let_172 (_let_12))) (let ((_let_173 (ASSUME :args _let_172))) (let ((_let_174 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_169 :args _let_165) :args _let_170)) _let_169 :args (_let_99 false _let_168)))) (let ((_let_175 (forall ((A $$unsorted)) (= A (tptp.addition A A))))) (let ((_let_176 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_177 (_let_175))) (let ((_let_178 (_let_11))) (let ((_let_179 (ASSUME :args _let_178))) (let ((_let_180 (_let_15))) (let ((_let_181 (ASSUME :args _let_180))) (let ((_let_182 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_176 :args (_let_27 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_177)) _let_176 :args (_let_110 false _let_175)))) (let ((_let_183 (= (tptp.multiplication _let_29 _let_22) (tptp.addition (tptp.multiplication _let_27 _let_22) _let_25)))) (let ((_let_184 (= (tptp.addition _let_24 _let_29) (tptp.addition _let_37 _let_24)))) (let ((_let_185 (= (tptp.addition _let_24 (tptp.addition _let_27 tptp.one)) (tptp.addition _let_37 tptp.one)))) (let ((_let_186 (= (tptp.multiplication _let_27 _let_33) (tptp.addition (tptp.multiplication _let_27 _let_21) (tptp.multiplication _let_27 _let_20))))) (let ((_let_187 (tptp.multiplication _let_24 _let_20))) (let ((_let_188 (= (tptp.multiplication (tptp.addition tptp.one _let_24) _let_20) (tptp.addition _let_88 _let_187)))) (let ((_let_189 (= tptp.one (tptp.addition _let_40 _let_21)))) (let ((_let_190 (= _let_187 (tptp.addition _let_187 tptp.zero)))) (let ((_let_191 (= (tptp.multiplication _let_24 _let_35) (tptp.addition _let_187 (tptp.multiplication _let_24 _let_21))))) (let 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(SYMM _let_227) (SYMM _let_226)) :args (_let_197 _let_195 _let_34 _let_186 _let_23 _let_192 _let_89 _let_80 _let_81 _let_75 _let_99 _let_26 _let_82 _let_79 _let_31 _let_28 _let_30 _let_38 _let_185 _let_48 _let_110 _let_189 _let_184 _let_188 _let_190 _let_191 _let_36 _let_193 _let_111 _let_183 _let_194))) :args (_let_197 _let_23 _let_26 _let_28 _let_30 _let_31 _let_34 _let_36 _let_38 _let_195 _let_194 _let_193 _let_192 _let_48 _let_110 _let_75 _let_79 _let_80 _let_111 _let_81 _let_82 _let_191 _let_190 _let_89 _let_189 _let_188 _let_186 _let_185 _let_184 _let_99 _let_183))) :args (true _let_225)) :args ((or _let_198 (not _let_197) _let_224 _let_223 _let_222 _let_221 _let_220 _let_219 _let_218 _let_217 (not _let_195) (not _let_194) (not _let_193) (not _let_192) _let_216 _let_215 _let_214 _let_213 _let_212 _let_211 _let_210 (not _let_191) (not _let_190) _let_209 (not _let_189) _let_199 (not _let_188) (not _let_186) (not _let_185) (not _let_184) _let_208 (not _let_183)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_205) :args (_let_207))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_207) _let_203))) (REFL :args (_let_204)) :args _let_206)) _let_205 :args (_let_204 true _let_203)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_202 :args (_let_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.domain X0)))) :args _let_201)) _let_202 :args (_let_197 false _let_6)) _let_115 _let_120 _let_121 _let_126 _let_131 _let_136 _let_140 _let_141 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_160 :args _let_200) :args _let_161)) _let_160 :args (_let_195 false _let_159)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_143 :args (_let_22 QUANTIFIERS_INST_CBQI_PROP)) :args _let_144)) _let_143 :args (_let_194 false _let_142)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_160 :args (_let_24 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_161)) _let_160 :args (_let_193 false _let_159)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_143 :args _let_200) :args _let_144)) _let_143 :args (_let_192 false _let_142)) _let_149 _let_182 _let_153 _let_157 _let_158 _let_162 _let_166 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_173 :args (_let_24 _let_20 _let_21 QUANTIFIERS_INST_CBQI_PROP)) :args _let_172)) _let_173 :args (_let_191 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_169 :args (_let_187 QUANTIFIERS_INST_CBQI_PROP)) :args _let_170)) _let_169 :args (_let_190 false _let_168)) _let_171 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_133 :args (_let_20 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_134)) _let_133 :args (_let_189 false _let_132)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_179 :args (tptp.one _let_24 _let_20 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_178)) _let_179 :args (_let_188 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_173 :args (_let_27 _let_21 _let_20 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_172)) _let_173 :args (_let_186 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_148 :args (tptp.one _let_27 _let_24 QUANTIFIERS_INST_CBQI_PROP)) :args _let_147)) _let_148 :args (_let_185 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_148 :args (_let_24 _let_27 _let_24 QUANTIFIERS_INST_CBQI_PROP)) :args _let_147)) _let_148 :args (_let_184 false _let_18)) _let_174 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_179 :args (_let_27 _let_24 _let_22 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_178)) _let_179 :args (_let_183 false _let_11)) :args (_let_199 true _let_198 false _let_197 false _let_23 false _let_26 false _let_28 false _let_30 false _let_31 false _let_34 false _let_36 false _let_38 false _let_195 false _let_194 false _let_193 false _let_192 false _let_48 false _let_110 false _let_75 false _let_79 false _let_80 false _let_81 false _let_82 false _let_191 false _let_190 false _let_89 false _let_189 false _let_188 false _let_186 false _let_185 false _let_184 false _let_99 false _let_183)) _let_182 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_181 :args (_let_93 _let_20 _let_27 QUANTIFIERS_INST_CBQI_PROP)) :args _let_180)) _let_181 :args (_let_109 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_138 :args (_let_20 _let_24 QUANTIFIERS_INST_CBQI_PROP)) :args _let_137)) _let_138 :args (_let_108 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_169 :args (_let_104 QUANTIFIERS_INST_CBQI_PROP)) :args _let_170)) _let_169 :args (_let_106 false _let_168)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_179 :args (_let_93 _let_92 _let_90 QUANTIFIERS_INST_CBQI_PROP)) :args _let_178)) _let_179 :args (_let_105 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_148 :args (_let_56 _let_27 _let_24 QUANTIFIERS_INST_CBQI_PROP)) :args _let_147)) _let_148 :args (_let_103 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_148 :args (_let_56 _let_56 _let_69 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_147)) _let_148 :args (_let_102 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_176 :args (_let_56 QUANTIFIERS_INST_CBQI_PROP)) :args _let_177)) _let_176 :args (_let_101 false _let_175)) _let_174 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (_let_90 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_119)) :args _let_118)) _let_117 :args (_let_98 false _let_116)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_138 :args (_let_93 _let_92 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_139)) :args _let_137)) _let_138 :args (_let_96 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_155 :args (_let_20 _let_22 QUANTIFIERS_INST_E_MATCHING ((tptp.multiplication X0 (tptp.antidomain (tptp.antidomain X1)))))) :args _let_156)) _let_155 :args (_let_95 false _let_154)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_173 :args (_let_20 _let_24 _let_27 QUANTIFIERS_INST_CBQI_PROP)) :args _let_172)) _let_173 :args (_let_91 false _let_12)) _let_171 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_169 :args (_let_43 QUANTIFIERS_INST_CBQI_PROP)) :args _let_170)) _let_169 :args (_let_87 false _let_168)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_160 :args _let_167) :args _let_161)) _let_160 :args (_let_86 false _let_159)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_148 :args (_let_27 _let_42 _let_69 QUANTIFIERS_INST_CBQI_PROP)) :args _let_147)) _let_148 :args (_let_85 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_148 :args (_let_58 _let_21 _let_20 QUANTIFIERS_INST_CBQI_PROP)) :args _let_147)) _let_148 :args (_let_84 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_148 :args (_let_20 _let_21 _let_20 QUANTIFIERS_INST_CBQI_PROP)) :args _let_147)) _let_148 :args (_let_83 false _let_18)) _let_166 _let_162 _let_158 _let_157 _let_153 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_138 :args (_let_42 _let_21 QUANTIFIERS_INST_CBQI_PROP)) :args _let_137))) _let_138 :args (_let_72 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_133 :args (_let_41 QUANTIFIERS_INST_E_MATCHING _let_135)) :args _let_134)) _let_133 :args (_let_71 false _let_132)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_148 :args (_let_20 _let_21 _let_42 QUANTIFIERS_INST_E_MATCHING _let_150)) :args _let_147)) _let_148 :args (_let_68 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_148 :args (_let_20 _let_42 _let_21 QUANTIFIERS_INST_E_MATCHING _let_150)) :args _let_147)) _let_148 :args (_let_66 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_148 :args (_let_24 _let_27 _let_42 QUANTIFIERS_INST_CBQI_PROP)) :args _let_147)) _let_148 :args (_let_63 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_138 :args (_let_56 _let_24 QUANTIFIERS_INST_CBQI_PROP)) :args _let_137)) _let_138 :args (_let_62 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_148 :args (_let_42 _let_27 _let_27 QUANTIFIERS_INST_E_MATCHING _let_151)) :args _let_147)) _let_148 :args (_let_61 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_148 :args (_let_20 _let_42 _let_44 QUANTIFIERS_INST_E_MATCHING _let_151)) :args _let_147)) _let_148 :args (_let_59 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_138 :args (_let_27 _let_42 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_139)) :args _let_137)) _let_138 :args (_let_57 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_138 :args (_let_49 _let_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_139)) :args _let_137)) _let_138 :args (_let_54 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_148 :args (_let_27 _let_49 _let_27 QUANTIFIERS_INST_E_MATCHING _let_150)) :args _let_147)) _let_148 :args (_let_53 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_123 :args (_let_24 QUANTIFIERS_INST_E_MATCHING _let_125)) :args _let_124)) _let_123 :args (_let_51 false _let_122)) _let_149 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_146 :args (_let_20 _let_24 QUANTIFIERS_INST_E_MATCHING ((tptp.multiplication (tptp.coantidomain (tptp.coantidomain X0)) X1)))) :args (_let_145))) _let_146 :args (_let_46 false _let_145)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_143 :args (_let_24 QUANTIFIERS_INST_CBQI_PROP)) :args _let_144)) _let_143 :args (_let_39 false _let_142)) _let_141 _let_140 _let_136 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_128 :args (_let_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_130)) :args _let_129)) _let_128 :args (_let_32 false _let_127)) _let_131 _let_126 _let_121 _let_120 _let_115 :args (false false _let_112 true _let_111 false _let_110 false _let_109 false _let_108 false _let_106 false _let_105 false _let_103 false _let_102 false _let_101 false _let_99 false _let_98 false _let_96 false _let_95 false _let_91 false _let_89 false _let_87 false _let_86 false _let_85 false _let_84 false _let_83 false _let_82 false _let_81 false _let_80 false _let_79 false _let_75 false _let_72 false _let_71 false _let_68 false _let_66 false _let_63 false _let_62 false _let_61 false _let_59 false _let_57 false _let_54 false _let_53 false _let_51 false _let_48 false _let_46 false _let_39 false _let_38 false _let_36 false _let_34 false _let_32 false _let_31 false _let_30 false _let_28 false _let_26 false _let_23)) :args (_let_19 _let_18 _let_17 _let_16 _let_15 _let_14 _let_13 _let_12 _let_11 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.zero) tptp.zero)) _let_10 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= (tptp.addition A B) B))) _let_9 _let_8 _let_7 _let_6 _let_5 _let_4 _let_3 _let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 29.12/29.30  )
% 29.12/29.30  % SZS output end Proof for KLE091+1
% 29.12/29.30  % cvc5---1.0.5 exiting
% 29.12/29.31  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------