%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : KLE068+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n007.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 05:27:09 EDT 2023

% Result   : Theorem 13.14s 13.42s
% Output   : Proof 13.14s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : KLE068+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13  % Command    : do_cvc5 %s %d
% 0.13/0.34  % Computer : n007.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 29 11:35:13 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.20/0.47  %----Proving TF0_NAR, FOF, or CNF
% 13.14/13.42  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.AD1XZdTdyG/cvc5---1.0.5_13188.p...
% 13.14/13.42  ------- get file name : TPTP file name is KLE068+1
% 13.14/13.42  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_13188.smt2...
% 13.14/13.42  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 13.14/13.42  --- Run --no-e-matching --full-saturate-quant at 5...
% 13.14/13.42  % SZS status Theorem for KLE068+1
% 13.14/13.42  % SZS output start Proof for KLE068+1
% 13.14/13.42  (
% 13.14/13.42  (let ((_let_1 (not (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.multiplication (tptp.domain X0) (tptp.domain X1)))) (= (tptp.domain _let_1) _let_1)))))) (let ((_let_2 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.domain (tptp.addition X0 X1)) (tptp.addition (tptp.domain X0) (tptp.domain X1)))))) (let ((_let_3 (forall ((X0 $$unsorted)) (= (tptp.addition (tptp.domain X0) tptp.one) tptp.one)))) (let ((_let_4 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.domain (tptp.multiplication X0 X1)) (tptp.domain (tptp.multiplication X0 (tptp.domain X1))))))) (let ((_let_5 (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.multiplication (tptp.domain X0) X0))) (= (tptp.addition X0 _let_1) _let_1))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C)))))) (let ((_let_8 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.one A) A)))) (let ((_let_9 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.one) A)))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))))) (let ((_let_11 (forall ((A $$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.domain SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_15 (tptp.domain SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_16 (tptp.multiplication _let_15 _let_14))) (let ((_let_17 (tptp.domain _let_16))) (let ((_let_18 (= _let_16 _let_17))) (let ((_let_19 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.zero))) (let ((_let_20 (= (tptp.addition tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_19))) (let ((_let_21 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_19))) (let ((_let_22 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_23 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_22))) (let ((_let_24 (tptp.addition _let_15 tptp.one))) (let ((_let_25 (= tptp.one _let_24))) (let ((_let_26 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.zero))) (let ((_let_27 (= (tptp.addition tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) _let_26))) (let ((_let_28 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_26))) (let ((_let_29 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_30 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_29))) (let ((_let_31 (tptp.addition _let_14 tptp.one))) (let ((_let_32 (= tptp.one _let_31))) (let ((_let_33 (tptp.multiplication _let_15 tptp.one))) (let ((_let_34 (= _let_15 _let_33))) (let ((_let_35 (tptp.multiplication tptp.one _let_15))) (let ((_let_36 (= _let_15 _let_35))) (let ((_let_37 (tptp.domain _let_15))) (let ((_let_38 (tptp.multiplication _let_37 _let_15))) (let ((_let_39 (= _let_38 (tptp.addition _let_15 _let_38)))) (let ((_let_40 (= (tptp.domain _let_22) (tptp.domain _let_35)))) (let ((_let_41 (tptp.multiplication tptp.one _let_14))) (let ((_let_42 (= _let_14 _let_41))) (let ((_let_43 (= (tptp.domain _let_29) (tptp.domain _let_41)))) (let ((_let_44 (tptp.multiplication tptp.one _let_16))) (let ((_let_45 (= _let_16 _let_44))) (let ((_let_46 (tptp.multiplication _let_17 _let_16))) (let ((_let_47 (= _let_46 (tptp.addition _let_16 _let_46)))) (let ((_let_48 (tptp.multiplication _let_17 tptp.one))) (let ((_let_49 (= _let_17 _let_48))) (let ((_let_50 (tptp.multiplication tptp.one _let_17))) (let ((_let_51 (= _let_17 _let_50))) (let ((_let_52 (tptp.multiplication (tptp.domain _let_17) _let_17))) (let ((_let_53 (= _let_52 (tptp.addition _let_17 _let_52)))) (let ((_let_54 (= (tptp.domain _let_44) (tptp.domain _let_50)))) (let ((_let_55 (tptp.addition _let_15 _let_16))) (let ((_let_56 (= _let_55 (tptp.addition _let_16 _let_15)))) (let ((_let_57 (tptp.domain tptp.one))) (let ((_let_58 (tptp.multiplication _let_57 tptp.one))) (let ((_let_59 (= _let_58 (tptp.addition tptp.one _let_58)))) (let ((_let_60 (tptp.addition _let_57 tptp.one))) (let ((_let_61 (= tptp.one _let_60))) (let ((_let_62 (tptp.addition _let_37 _let_17))) (let ((_let_63 (= (tptp.domain _let_55) _let_62))) (let ((_let_64 (= _let_57 _let_58))) (let ((_let_65 (= (tptp.multiplication _let_15 _let_31) (tptp.addition _let_16 _let_33)))) (let ((_let_66 (= _let_60 (tptp.addition tptp.one _let_57)))) (let ((_let_67 (tptp.addition _let_14 _let_16))) (let ((_let_68 (= _let_67 (tptp.addition _let_16 _let_14)))) (let ((_let_69 (tptp.multiplication _let_15 _let_15))) (let ((_let_70 (tptp.multiplication _let_15 _let_16))) (let ((_let_71 (= _let_70 (tptp.multiplication _let_69 _let_14)))) (let ((_let_72 (tptp.domain _let_14))) (let ((_let_73 (tptp.addition _let_72 _let_17))) (let ((_let_74 (= (tptp.domain _let_67) _let_73))) (let ((_let_75 (= (tptp.multiplication _let_24 _let_14) (tptp.addition _let_16 _let_41)))) (let ((_let_76 (tptp.addition tptp.one _let_15))) (let ((_let_77 (= _let_24 _let_76))) (let ((_let_78 (= (tptp.multiplication _let_76 _let_15) (tptp.addition _let_35 _let_69)))) (let ((_let_79 (= (tptp.multiplication _let_62 _let_16) (tptp.addition (tptp.multiplication _let_37 _let_16) _let_46)))) (let ((_let_80 (tptp.addition tptp.one _let_16))) (let ((_let_81 (tptp.addition _let_16 tptp.one))) (let ((_let_82 (= _let_81 _let_80))) (let ((_let_83 (= (tptp.addition tptp.one _let_55) (tptp.addition _let_76 _let_16)))) (let ((_let_84 (tptp.addition _let_57 _let_17))) (let ((_let_85 (= (tptp.domain _let_80) _let_84))) (let ((_let_86 (tptp.multiplication _let_17 _let_17))) (let ((_let_87 (= (tptp.multiplication _let_84 _let_17) (tptp.addition (tptp.multiplication _let_57 _let_17) _let_86)))) (let ((_let_88 (= (tptp.multiplication _let_17 _let_81) (tptp.addition _let_46 _let_48)))) (let ((_let_89 (tptp.multiplication _let_15 _let_17))) (let ((_let_90 (= (tptp.multiplication _let_15 _let_73) (tptp.addition (tptp.multiplication _let_15 _let_72) _let_89)))) (let ((_let_91 (= (tptp.multiplication _let_15 (tptp.addition _let_16 _let_17)) (tptp.addition _let_70 _let_89)))) (let ((_let_92 (= (tptp.multiplication _let_62 _let_17) (tptp.addition (tptp.multiplication _let_37 _let_17) _let_86)))) (let ((_let_93 (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.multiplication (tptp.domain X0) (tptp.domain X1)))) (= _let_1 (tptp.domain _let_1)))))) (let ((_let_94 (not _let_18))) (let ((_let_95 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_96 (or))) (let ((_let_97 (_let_94))) (let ((_let_98 (not _let_93))) (let ((_let_99 (_let_13))) (let ((_let_100 (ASSUME :args _let_99))) (let ((_let_101 (forall ((A $$unsorted)) (= A (tptp.addition A tptp.zero))))) (let ((_let_102 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_103 (_let_101))) (let ((_let_104 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM))) (let ((_let_105 (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A))))) (let ((_let_106 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_107 (_let_105))) (let ((_let_108 (forall ((X0 $$unsorted)) (= tptp.one (tptp.addition (tptp.domain X0) tptp.one))))) (let ((_let_109 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_110 (_let_108))) (let ((_let_111 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_ENUM))) (let ((_let_112 (forall ((A $$unsorted)) (= A (tptp.multiplication A tptp.one))))) (let ((_let_113 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_114 (_let_112))) (let ((_let_115 (_let_15 QUANTIFIERS_INST_ENUM))) (let ((_let_116 (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.multiplication (tptp.domain X0) X0))) (= _let_1 (tptp.addition X0 _let_1)))))) (let ((_let_117 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_118 (_let_116))) (let ((_let_119 (_let_4))) (let ((_let_120 (ASSUME :args _let_119))) (let ((_let_121 (_let_16 QUANTIFIERS_INST_ENUM))) (let ((_let_122 (_let_17 QUANTIFIERS_INST_ENUM))) (let ((_let_123 (_let_15 _let_16 QUANTIFIERS_INST_ENUM))) (let ((_let_124 (tptp.one QUANTIFIERS_INST_ENUM))) (let ((_let_125 (_let_2))) (let ((_let_126 (ASSUME :args _let_125))) (let ((_let_127 (_let_7))) (let ((_let_128 (ASSUME :args _let_127))) (let ((_let_129 (_let_14 _let_16 QUANTIFIERS_INST_ENUM))) (let ((_let_130 (_let_10))) (let ((_let_131 (ASSUME :args _let_130))) (let ((_let_132 (_let_6))) (let ((_let_133 (ASSUME :args _let_132))) (let ((_let_134 (_let_12))) (let ((_let_135 (ASSUME :args _let_134))) (let ((_let_136 (not _let_92))) (let ((_let_137 (_let_136))) (let ((_let_138 (ASSUME :args (_let_92)))) (let ((_let_139 (ASSUME :args _let_97))) (let ((_let_140 (ASSUME :args (_let_49)))) (let ((_let_141 (SYMM _let_140))) (let ((_let_142 (APPLY_UF tptp.multiplication))) (let ((_let_143 (ASSUME :args (_let_82)))) (let ((_let_144 (APPLY_UF tptp.addition))) (let ((_let_145 (REFL :args (_let_16)))) (let ((_let_146 (ASSUME :args (_let_25)))) (let ((_let_147 (SYMM _let_146))) (let ((_let_148 (ASSUME :args (_let_77)))) (let ((_let_149 (SYMM _let_148))) (let ((_let_150 (TRANS _let_149 _let_147))) (let ((_let_151 (CONG _let_150 _let_145 :args _let_144))) (let ((_let_152 (ASSUME :args (_let_83)))) (let ((_let_153 (SYMM _let_152))) (let ((_let_154 (ASSUME :args (_let_34)))) (let ((_let_155 (ASSUME :args (_let_32)))) (let ((_let_156 (REFL :args (_let_15)))) (let ((_let_157 (ASSUME :args (_let_65)))) (let ((_let_158 (ASSUME :args (_let_56)))) (let ((_let_159 (TRANS (SYMM (SYMM _let_158)) (CONG _let_145 _let_154 :args _let_144) (SYMM _let_157) (CONG _let_156 (SYMM _let_155) :args _let_142) (SYMM _let_154)))) (let ((_let_160 (REFL :args (tptp.one)))) (let ((_let_161 (CONG _let_160 (SYMM _let_159) :args _let_144))) (let ((_let_162 (REFL :args (_let_17)))) (let ((_let_163 (CONG _let_162 (TRANS _let_146 _let_148 _let_161 (SYMM _let_153) _let_151 (SYMM _let_143)) :args _let_142))) (let ((_let_164 (ASSUME :args (_let_88)))) (let ((_let_165 (SYMM _let_164))) (let ((_let_166 (REFL :args (_let_14)))) (let ((_let_167 (ASSUME :args (_let_36)))) (let ((_let_168 (ASSUME :args (_let_78)))) (let ((_let_169 (APPLY_UF tptp.domain))) (let ((_let_170 (ASSUME :args (_let_21)))) (let ((_let_171 (ASSUME :args (_let_20)))) (let ((_let_172 (SYMM _let_171))) (let ((_let_173 (CONG (TRANS (SYMM _let_172) (SYMM _let_170)) :args _let_169))) (let ((_let_174 (ASSUME :args (_let_23)))) (let ((_let_175 (CONG (TRANS (SYMM _let_174) _let_170 _let_172) :args _let_169))) (let ((_let_176 (ASSUME :args (_let_40)))) (let ((_let_177 (SYMM _let_176))) (let ((_let_178 (CONG _let_167 :args _let_169))) (let ((_let_179 (TRANS _let_178 _let_177 _let_175 _let_173))) (let ((_let_180 (CONG _let_179 _let_156 :args _let_142))) (let ((_let_181 (ASSUME :args (_let_39)))) (let ((_let_182 (CONG (TRANS (SYMM _let_180) (SYMM (SYMM _let_181)) (CONG _let_167 _let_180 :args _let_144) (SYMM _let_168) (CONG _let_150 _let_156 :args _let_142) (SYMM _let_167)) _let_166 :args _let_142))) (let ((_let_183 (ASSUME :args (_let_71)))) (let ((_let_184 (SYMM _let_183))) (let ((_let_185 (SYMM _let_184))) (let ((_let_186 (ASSUME :args (_let_63)))) (let ((_let_187 (TRANS (SYMM _let_186) (CONG _let_159 :args _let_169) _let_178 _let_177 _let_175 _let_173))) (let ((_let_188 (ASSUME :args (_let_79)))) (let ((_let_189 (ASSUME :args (_let_47)))) (let ((_let_190 (CONG (TRANS (SYMM (SYMM _let_189)) (CONG (TRANS (SYMM _let_182) _let_184 (CONG (SYMM _let_179) _let_145 :args _let_142)) (REFL :args (_let_46)) :args _let_144) (SYMM _let_188) (CONG _let_187 _let_145 :args _let_142) _let_185 _let_182) _let_141 :args _let_144))) (let ((_let_191 (ASSUME :args (_let_51)))) (let ((_let_192 (ASSUME :args (_let_61)))) (let ((_let_193 (ASSUME :args (_let_66)))) (let ((_let_194 (ASSUME :args (_let_64)))) (let ((_let_195 (SYMM _let_194))) (let ((_let_196 (CONG _let_160 _let_195 :args _let_144))) (let ((_let_197 (ASSUME :args (_let_59)))) (let ((_let_198 (SYMM _let_197))) (let ((_let_199 (ASSUME :args (_let_85)))) (let ((_let_200 (ASSUME :args (_let_87)))) (let ((_let_201 (ASSUME :args (_let_45)))) (let ((_let_202 (ASSUME :args (_let_54)))) (let ((_let_203 (CONG (TRANS (CONG _let_191 :args _let_169) (SYMM _let_202) (CONG (SYMM _let_201) :args _let_169)) _let_162 :args _let_142))) (let ((_let_204 (ASSUME :args (_let_53)))) (let ((_let_205 (ASSUME :args (_let_28)))) (let ((_let_206 (ASSUME :args (_let_27)))) (let ((_let_207 (SYMM _let_206))) (let ((_let_208 (CONG (TRANS (SYMM _let_207) (SYMM _let_205)) :args _let_169))) (let ((_let_209 (ASSUME :args (_let_30)))) (let ((_let_210 (CONG (TRANS (SYMM _let_209) _let_205 _let_207) :args _let_169))) (let ((_let_211 (ASSUME :args (_let_43)))) (let ((_let_212 (ASSUME :args (_let_42)))) (let ((_let_213 (SYMM _let_212))) (let ((_let_214 (SYMM _let_213))) (let ((_let_215 (CONG _let_214 :args _let_169))) (let ((_let_216 (ASSUME :args (_let_75)))) (let ((_let_217 (ASSUME :args (_let_68)))) (let ((_let_218 (ASSUME :args (_let_74)))) (let ((_let_219 (CONG _let_156 (TRANS (SYMM _let_218) (CONG (TRANS (SYMM (SYMM _let_217)) (CONG _let_145 _let_214 :args _let_144) (SYMM _let_216) (CONG _let_147 _let_166 :args _let_142) _let_213) :args _let_169) _let_215 (SYMM _let_211) _let_210 _let_208) :args _let_142))) (let ((_let_220 (ASSUME :args (_let_90)))) (let ((_let_221 (SYMM _let_220))) (let ((_let_222 (REFL :args (_let_89)))) (let ((_let_223 (CONG (CONG _let_156 (TRANS (SYMM _let_208) (SYMM _let_210) _let_211 (SYMM _let_215)) :args _let_142) _let_222 :args _let_144))) (let ((_let_224 (CONG (TRANS _let_185 _let_182) _let_222 :args _let_144))) (let ((_let_225 (ASSUME :args (_let_91)))) (let ((_let_226 (SYMM (SYMM _let_225)))) (let ((_let_227 (CONG _let_156 (TRANS _let_140 _let_163 (SYMM _let_165) _let_190) :args _let_142))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_138 (MODUS_PONENS (AND_INTRO _let_205 _let_206 _let_209 _let_211 _let_212 _let_146 _let_216 _let_217 _let_218 _let_220 _let_167 _let_148 _let_168 _let_170 _let_171 _let_174 _let_176 _let_181 _let_183 _let_225 _let_154 _let_155 _let_157 _let_158 _let_186 _let_188 _let_189 _let_140 _let_164 _let_143 _let_152 _let_139 _let_191 _let_192 _let_193 _let_194 _let_197 _let_199 _let_200 _let_201 _let_202 _let_204) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS (CONG _let_187 _let_162 :args _let_142) _let_227 _let_226 _let_224 _let_223 _let_221 _let_219) (TRANS (CONG (TRANS (CONG _let_179 _let_162 :args _let_142) _let_227 _let_226 _let_224 _let_223 _let_221 _let_219) (TRANS (SYMM _let_203) (SYMM (SYMM _let_204)) (CONG (TRANS _let_191 (CONG (TRANS _let_192 _let_193 (SYMM _let_196) _let_198 _let_195) _let_162 :args _let_142)) _let_203 :args _let_144) (SYMM _let_200) (CONG (TRANS (SYMM _let_199) (CONG (TRANS (SYMM _let_151) _let_153 (SYMM _let_161) _let_149 _let_147) :args _let_169) _let_194 (SYMM _let_198) _let_196 (SYMM _let_193) (SYMM _let_192)) _let_162 :args _let_142) (SYMM _let_191)) :args _let_144) (SYMM _let_190) _let_165 (SYMM _let_163) _let_141) :args (=)) (FALSE_INTRO _let_139))) :args (_let_28 _let_27 _let_30 _let_43 _let_42 _let_25 _let_75 _let_68 _let_74 _let_90 _let_36 _let_77 _let_78 _let_21 _let_20 _let_23 _let_40 _let_39 _let_71 _let_91 _let_34 _let_32 _let_65 _let_56 _let_63 _let_79 _let_47 _let_49 _let_88 _let_82 _let_83 _let_94 _let_51 _let_61 _let_66 _let_64 _let_59 _let_85 _let_87 _let_45 _let_54 _let_53)))) :args (_let_94 _let_20 _let_21 _let_23 _let_25 _let_27 _let_28 _let_30 _let_32 _let_34 _let_36 _let_39 _let_40 _let_42 _let_43 _let_45 _let_47 _let_49 _let_51 _let_53 _let_54 _let_56 _let_59 _let_61 _let_63 _let_64 _let_65 _let_66 _let_68 _let_71 _let_74 _let_75 _let_77 _let_78 _let_79 _let_82 _let_83 _let_85 _let_87 _let_88 _let_90 _let_91 _let_92)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args _let_137))) (TRUE_INTRO (SYMM (SYMM _let_138))))) :args (_let_92 _let_136)) :args ((not (and _let_94 _let_20 _let_21 _let_23 _let_25 _let_27 _let_28 _let_30 _let_32 _let_34 _let_36 _let_39 _let_40 _let_42 _let_43 _let_45 _let_47 _let_49 _let_51 _let_53 _let_54 _let_56 _let_59 _let_61 _let_63 _let_64 _let_65 _let_66 _let_68 _let_71 _let_74 _let_75 _let_77 _let_78 _let_79 _let_82 _let_83 _let_85 _let_87 _let_88 _let_90 _let_91 _let_92)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_94) _let_18))) (REFL :args ((not _let_20))) (REFL :args ((not _let_21))) (REFL :args ((not _let_23))) (REFL :args ((not _let_25))) (REFL :args ((not _let_27))) (REFL :args ((not _let_28))) (REFL :args ((not _let_30))) (REFL :args ((not _let_32))) (REFL :args ((not _let_34))) (REFL :args ((not _let_36))) (REFL :args ((not _let_39))) (REFL :args ((not _let_40))) (REFL :args ((not _let_42))) (REFL :args ((not _let_43))) (REFL :args ((not _let_45))) (REFL :args ((not _let_47))) (REFL :args ((not _let_49))) (REFL :args ((not _let_51))) (REFL :args ((not _let_53))) (REFL :args ((not _let_54))) (REFL :args ((not _let_56))) (REFL :args ((not _let_59))) (REFL :args ((not _let_61))) (REFL :args ((not _let_63))) (REFL :args ((not _let_64))) (REFL :args ((not _let_65))) (REFL :args ((not _let_66))) (REFL :args ((not _let_68))) (REFL :args ((not _let_71))) (REFL :args ((not _let_74))) (REFL :args ((not _let_75))) (REFL :args ((not _let_77))) (REFL :args ((not _let_78))) (REFL :args ((not _let_79))) (REFL :args ((not _let_82))) (REFL :args ((not _let_83))) (REFL :args ((not _let_85))) (REFL :args ((not _let_87))) (REFL :args ((not _let_88))) (REFL :args ((not _let_90))) (REFL :args ((not _let_91))) (REFL :args _let_137) :args _let_96)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_133 :args (_let_37 _let_17 _let_17 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_132)) _let_133 :args (_let_92 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_128 :args (_let_15 _let_16 _let_17 QUANTIFIERS_INST_CBQI_PROP)) :args _let_127)) _let_128 :args (_let_91 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_128 :args (_let_15 _let_72 _let_17 QUANTIFIERS_INST_CBQI_PROP)) :args _let_127)) _let_128 :args (_let_90 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_128 :args (_let_17 _let_16 tptp.one QUANTIFIERS_INST_CBQI_PROP)) :args _let_127)) _let_128 :args (_let_88 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_133 :args (_let_57 _let_17 _let_17 QUANTIFIERS_INST_CBQI_PROP)) :args _let_132)) _let_133 :args (_let_87 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_126 :args (tptp.one _let_16 QUANTIFIERS_INST_ENUM)) :args _let_125)) _let_126 :args (_let_85 false _let_2)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_135 :args (_let_16 _let_15 tptp.one QUANTIFIERS_INST_CBQI_PROP)) :args _let_134)) _let_135 :args (_let_83 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (_let_16 tptp.one QUANTIFIERS_INST_ENUM)) :args _let_99)) _let_100 :args (_let_82 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_133 :args (_let_37 _let_17 _let_16 QUANTIFIERS_INST_CBQI_PROP)) :args _let_132)) _let_133 :args (_let_79 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_133 :args (tptp.one _let_15 _let_15 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(MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_120 :args (tptp.one _let_16 QUANTIFIERS_INST_CBQI_PROP)) :args _let_119)) _let_120 :args (_let_54 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args _let_122) :args _let_118)) _let_117 :args (_let_53 false _let_116)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args _let_122) :args _let_107)) _let_106 :args (_let_51 false _let_105)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args _let_122) :args _let_114)) _let_113 :args (_let_49 false _let_112)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args _let_121) :args _let_118)) _let_117 :args (_let_47 false _let_116)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args _let_121) :args _let_107)) _let_106 :args (_let_45 false _let_105)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_120 :args (tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 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false _let_108)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args _let_111) :args _let_107)) _let_106 :args (_let_30 false _let_105)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args _let_111) :args _let_103)) _let_102 :args (_let_28 false _let_101)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_ENUM)) :args _let_99)) _let_100 :args (_let_27 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_109 :args _let_104) :args _let_110)) _let_109 :args (_let_25 false _let_108)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args _let_104) :args _let_107)) _let_106 :args (_let_23 false _let_105)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args _let_104) :args _let_103)) _let_102 :args (_let_21 false _let_101)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM)) :args _let_99)) _let_100 :args (_let_20 false _let_13)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_95) :args (_let_98))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_98) _let_93))) (REFL :args _let_97) :args _let_96)) _let_95 :args (_let_94 true _let_93)) :args (false false _let_92 false _let_91 false _let_90 false _let_88 false _let_87 false _let_85 false _let_83 false _let_82 false _let_79 false _let_78 false _let_77 false _let_75 false _let_74 false _let_71 false _let_68 false _let_66 false _let_65 false _let_64 false _let_63 false _let_61 false _let_59 false _let_56 false _let_54 false _let_53 false _let_51 false _let_49 false _let_47 false _let_45 false _let_43 false _let_42 false _let_40 false _let_39 false _let_36 false _let_34 false _let_32 false _let_30 false _let_28 false _let_27 false _let_25 false _let_23 false _let_21 false _let_20 true _let_18)) :args (_let_13 _let_12 _let_11 (forall ((A $$unsorted)) (= (tptp.addition A A) A)) _let_10 _let_9 _let_8 _let_7 _let_6 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.zero) tptp.zero)) (forall ((A $$unsorted)) (= (tptp.multiplication tptp.zero A) tptp.zero)) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= (tptp.addition A B) B))) _let_5 _let_4 _let_3 (= (tptp.domain tptp.zero) tptp.zero) _let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 13.14/13.43  )
% 13.14/13.43  % SZS output end Proof for KLE068+1
% 13.14/13.43  % cvc5---1.0.5 exiting
% 13.14/13.43  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------