%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : LCL157-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n023.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 07:00:53 EDT 2023

% Result   : Unsatisfiable 1.60s 1.79s
% Output   : Proof 1.63s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : LCL157-1 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n023.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   : Fri Aug 25 07:40:27 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.20/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.49  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.mxCARgcAoF/cvc5---1.0.5_6084.p...
% 0.20/0.49  ------- get file name : TPTP file name is LCL157-1
% 0.20/0.50  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_6084.smt2...
% 0.20/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 1.60/1.79  % SZS status Unsatisfiable for LCL157-1
% 1.60/1.79  % SZS output start Proof for LCL157-1
% 1.60/1.81  (
% 1.60/1.81  (let ((_let_1 (tptp.and_star tptp.x tptp.falsehood))) (let ((_let_2 (not (= _let_1 tptp.falsehood)))) (let ((_let_3 (tptp.not tptp.truth))) (let ((_let_4 (= _let_3 tptp.falsehood))) (let ((_let_5 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.and_star X Y) (tptp.not (tptp.or (tptp.not X) (tptp.not Y))))))) (let ((_let_6 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.xor X Y) (tptp.or (tptp.and X (tptp.not Y)) (tptp.and (tptp.not X) Y)))))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.and X Y) (tptp.and Y X))))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.and (tptp.and X Y) Z) (tptp.and X (tptp.and Y Z)))))) (let ((_let_9 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.and X Y) (tptp.not (tptp.or (tptp.not X) (tptp.not Y))))))) (let ((_let_10 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.or X Y) (tptp.or Y X))))) (let ((_let_11 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.or (tptp.or X Y) Z) (tptp.or X (tptp.or Y Z)))))) (let ((_let_12 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.or X Y) (tptp.implies (tptp.not X) Y))))) (let ((_let_13 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.implies (tptp.implies (tptp.not X) (tptp.not Y)) (tptp.implies Y X)) tptp.truth)))) (let ((_let_14 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.implies (tptp.implies X Y) Y) (tptp.implies (tptp.implies Y X) X))))) (let ((_let_15 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.implies (tptp.implies X Y) (tptp.implies (tptp.implies Y Z) (tptp.implies X Z))) tptp.truth)))) (let ((_let_16 (forall ((X $$unsorted)) (= (tptp.implies tptp.truth X) X)))) (let ((_let_17 (= tptp.falsehood _let_3))) (let ((_let_18 (= tptp.falsehood _let_1))) (let ((_let_19 (tptp.not tptp.falsehood))) (let ((_let_20 (tptp.not tptp.x))) (let ((_let_21 (tptp.or _let_20 _let_19))) (let ((_let_22 (tptp.not _let_21))) (let ((_let_23 (= _let_1 _let_22))) (let ((_let_24 (tptp.not _let_20))) (let ((_let_25 (tptp.implies _let_24 _let_19))) (let ((_let_26 (= _let_21 _let_25))) (let ((_let_27 (tptp.or _let_19 _let_20))) (let ((_let_28 (= _let_21 _let_27))) (let ((_let_29 (tptp.and tptp.x tptp.falsehood))) (let ((_let_30 (= _let_22 _let_29))) (let ((_let_31 (tptp.and tptp.falsehood tptp.x))) (let ((_let_32 (= (tptp.not _let_27) _let_31))) (let ((_let_33 (tptp.implies _let_19 _let_19))) (let ((_let_34 (tptp.not _let_19))) (let ((_let_35 (= tptp.truth (tptp.implies (tptp.implies _let_34 _let_34) _let_33)))) (let ((_let_36 (tptp.and _let_20 tptp.truth))) (let ((_let_37 (tptp.and tptp.x _let_3))) (let ((_let_38 (tptp.not _let_37))) (let ((_let_39 (tptp.implies _let_38 _let_36))) (let ((_let_40 (tptp.or _let_37 _let_36))) (let ((_let_41 (= _let_40 _let_39))) (let ((_let_42 (tptp.or tptp.truth _let_20))) (let ((_let_43 (= (tptp.implies _let_3 _let_20) _let_42))) (let ((_let_44 (tptp.or _let_36 _let_37))) (let ((_let_45 (= _let_40 _let_44))) (let ((_let_46 (tptp.or _let_24 _let_3))) (let ((_let_47 (= _let_36 (tptp.not _let_46)))) (let ((_let_48 (tptp.and _let_3 tptp.truth))) (let ((_let_49 (tptp.and tptp.truth _let_3))) (let ((_let_50 (tptp.or _let_49 _let_48))) (let ((_let_51 (= (tptp.xor tptp.truth tptp.truth) _let_50))) (let ((_let_52 (tptp.and _let_34 _let_19))) (let ((_let_53 (tptp.and _let_19 _let_34))) (let ((_let_54 (tptp.or _let_53 _let_52))) (let ((_let_55 (= (tptp.xor _let_19 _let_19) _let_54))) (let ((_let_56 (= tptp.truth (tptp.implies tptp.truth tptp.truth)))) (let ((_let_57 (tptp.implies tptp.truth tptp.falsehood))) (let ((_let_58 (tptp.implies _let_19 _let_3))) (let ((_let_59 (= tptp.truth (tptp.implies _let_58 _let_57)))) (let ((_let_60 (tptp.not _let_24))) (let ((_let_61 (tptp.implies _let_60 _let_3))) (let ((_let_62 (= _let_46 _let_61))) (let ((_let_63 (tptp.not _let_36))) (let ((_let_64 (= _let_44 (tptp.implies _let_63 _let_37)))) (let ((_let_65 (tptp.or tptp.falsehood _let_19))) (let ((_let_66 (= _let_33 _let_65))) (let ((_let_67 (tptp.or _let_20 _let_24))) (let ((_let_68 (= (tptp.implies _let_24 _let_24) _let_67))) (let ((_let_69 (tptp.or _let_20 tptp.truth))) (let ((_let_70 (= _let_42 _let_69))) (let ((_let_71 (tptp.or _let_3 _let_24))) (let ((_let_72 (= _let_46 _let_71))) (let ((_let_73 (= _let_50 (tptp.or _let_48 _let_49)))) (let ((_let_74 (= _let_54 (tptp.or _let_52 _let_53)))) (let ((_let_75 (tptp.not _let_3))) (let ((_let_76 (= _let_49 (tptp.not (tptp.or _let_3 _let_75))))) (let ((_let_77 (tptp.or _let_75 _let_3))) (let ((_let_78 (tptp.not _let_77))) (let ((_let_79 (= _let_48 _let_78))) (let ((_let_80 (tptp.and tptp.x _let_20))) (let ((_let_81 (= _let_80 (tptp.not _let_67)))) (let ((_let_82 (tptp.or _let_24 _let_20))) (let ((_let_83 (tptp.and _let_20 tptp.x))) (let ((_let_84 (= _let_83 (tptp.not _let_82)))) (let ((_let_85 (tptp.and _let_20 _let_24))) (let ((_let_86 (= _let_85 (tptp.not (tptp.or _let_24 _let_60))))) (let ((_let_87 (tptp.and _let_19 tptp.falsehood))) (let ((_let_88 (= _let_87 (tptp.not (tptp.or _let_34 _let_19))))) (let ((_let_89 (tptp.not _let_22))) (let ((_let_90 (tptp.or _let_22 _let_89))) (let ((_let_91 (tptp.and _let_21 _let_22))) (let ((_let_92 (= _let_91 (tptp.not _let_90)))) (let ((_let_93 (tptp.and _let_24 _let_20))) (let ((_let_94 (= _let_93 (tptp.not (tptp.or _let_60 _let_24))))) (let ((_let_95 (tptp.not _let_34))) (let ((_let_96 (= _let_52 (tptp.not (tptp.or _let_95 _let_34))))) (let ((_let_97 (tptp.and tptp.x _let_21))) (let ((_let_98 (= (tptp.and _let_31 _let_21) (tptp.and tptp.falsehood _let_97)))) (let ((_let_99 (tptp.and _let_21 tptp.falsehood))) (let ((_let_100 (tptp.and _let_99 tptp.x))) (let ((_let_101 (= _let_100 (tptp.and _let_21 _let_31)))) (let ((_let_102 (= _let_49 _let_48))) (let ((_let_103 (= (tptp.and tptp.falsehood _let_19) _let_87))) (let ((_let_104 (= _let_80 _let_83))) (let ((_let_105 (= _let_91 (tptp.and _let_22 _let_21)))) (let ((_let_106 (= _let_85 _let_93))) (let ((_let_107 (= _let_53 _let_52))) (let ((_let_108 (tptp.and _let_34 tptp.truth))) (let ((_let_109 (= (tptp.xor _let_19 tptp.truth) (tptp.or (tptp.and _let_19 _let_3) _let_108)))) (let ((_let_110 (tptp.and _let_3 _let_19))) (let ((_let_111 (tptp.and tptp.truth _let_34))) (let ((_let_112 (tptp.or _let_111 _let_110))) (let ((_let_113 (= (tptp.xor tptp.truth _let_19) _let_112))) (let ((_let_114 (= tptp.falsehood _let_57))) (let ((_let_115 (tptp.implies tptp.truth _let_19))) (let ((_let_116 (= tptp.truth (tptp.implies _let_115 (tptp.implies _let_58 (tptp.implies tptp.truth _let_3)))))) (let ((_let_117 (tptp.implies tptp.truth _let_24))) (let ((_let_118 (= tptp.truth (tptp.implies _let_61 _let_117)))) (let ((_let_119 (tptp.implies _let_21 _let_36))) (let ((_let_120 (= tptp.truth (tptp.implies (tptp.implies _let_63 _let_22) _let_119)))) (let ((_let_121 (= _let_71 (tptp.implies _let_75 _let_24)))) (let ((_let_122 (= _let_90 (tptp.implies _let_89 _let_89)))) (let ((_let_123 (= _let_69 (tptp.implies _let_24 tptp.truth)))) (let ((_let_124 (= _let_77 (tptp.implies (tptp.not _let_75) _let_3)))) (let ((_let_125 (= _let_58 (tptp.or tptp.falsehood _let_3)))) (let ((_let_126 (tptp.or tptp.falsehood _let_20))) (let ((_let_127 (= (tptp.implies _let_19 _let_20) _let_126))) (let ((_let_128 (tptp.or _let_20 _let_34))) (let ((_let_129 (= (tptp.implies _let_24 _let_34) _let_128))) (let ((_let_130 (= _let_65 (tptp.or _let_19 tptp.falsehood)))) (let ((_let_131 (= _let_67 _let_82))) (let ((_let_132 (= _let_112 (tptp.or _let_110 _let_111)))) (let ((_let_133 (tptp.and tptp.x _let_60))) (let ((_let_134 (= (tptp.or _let_133 _let_85) (tptp.or _let_85 _let_133)))) (let ((_let_135 (tptp.not _let_60))) (let ((_let_136 (tptp.or _let_20 _let_135))) (let ((_let_137 (= _let_133 (tptp.not _let_136)))) (let ((_let_138 (tptp.or _let_22 _let_19))) (let ((_let_139 (= _let_99 (tptp.not _let_138)))) (let ((_let_140 (tptp.or _let_34 _let_60))) (let ((_let_141 (= (tptp.and _let_19 _let_24) (tptp.not _let_140)))) (let ((_let_142 (= _let_100 (tptp.not (tptp.or (tptp.not _let_99) _let_20))))) (let ((_let_143 (= (tptp.and _let_77 _let_77) (tptp.not (tptp.or _let_78 _let_78))))) (let ((_let_144 (tptp.and tptp.falsehood _let_21))) (let ((_let_145 (= (tptp.and _let_29 _let_21) (tptp.and tptp.x _let_144)))) (let ((_let_146 (tptp.and _let_21 tptp.x))) (let ((_let_147 (tptp.and _let_146 tptp.falsehood))) (let ((_let_148 (= _let_147 (tptp.and _let_21 _let_29)))) (let ((_let_149 (= _let_108 _let_111))) (let ((_let_150 (tptp.and _let_19 tptp.truth))) (let ((_let_151 (= _let_150 (tptp.and tptp.truth _let_19)))) (let ((_let_152 (= (tptp.and _let_60 tptp.x) _let_133))) (let ((_let_153 (= (tptp.and _let_37 _let_38) (tptp.and _let_38 _let_37)))) (let ((_let_154 (= _let_99 _let_144))) (let ((_let_155 (= tptp.x (tptp.implies tptp.truth tptp.x)))) (let ((_let_156 (= _let_24 _let_117))) (let ((_let_157 (= _let_19 _let_115))) (let ((_let_158 (= (tptp.implies (tptp.implies _let_115 tptp.truth) tptp.truth) (tptp.implies (tptp.implies tptp.truth _let_115) _let_115)))) (let ((_let_159 (= (tptp.implies (tptp.implies _let_19 _let_24) _let_24) (tptp.implies _let_25 _let_19)))) (let ((_let_160 (= tptp.truth (tptp.implies (tptp.implies _let_34 _let_3) _let_115)))) (let ((_let_161 (= _let_138 (tptp.implies _let_89 _let_19)))) (let ((_let_162 (= _let_136 (tptp.implies _let_24 _let_135)))) (let ((_let_163 (tptp.or _let_60 _let_34))) (let ((_let_164 (= _let_163 (tptp.implies _let_135 _let_34)))) (let ((_let_165 (= _let_140 (tptp.implies _let_95 _let_60)))) (let ((_let_166 (tptp.or tptp.x tptp.falsehood))) (let ((_let_167 (= (tptp.implies _let_20 tptp.falsehood) _let_166))) (let ((_let_168 (= (tptp.implies _let_19 _let_37) (tptp.or tptp.falsehood _let_37)))) (let ((_let_169 (= _let_126 (tptp.or _let_20 tptp.falsehood)))) (let ((_let_170 (= (tptp.or _let_19 _let_22) _let_138))) (let ((_let_171 (= _let_163 _let_140))) (let ((_let_172 (tptp.or _let_3 _let_89))) (let ((_let_173 (tptp.and tptp.truth _let_22))) (let ((_let_174 (= _let_173 (tptp.not _let_172)))) (let ((_let_175 (= (tptp.and tptp.x _let_19) (tptp.not _let_128)))) (let ((_let_176 (tptp.or _let_89 _let_3))) (let ((_let_177 (tptp.not _let_176))) (let ((_let_178 (tptp.and _let_22 tptp.truth))) (let ((_let_179 (= _let_178 _let_177))) (let ((_let_180 (tptp.not _let_38))) (let ((_let_181 (tptp.not _let_180))) (let ((_let_182 (tptp.and _let_21 _let_180))) (let ((_let_183 (= _let_182 (tptp.not (tptp.or _let_22 _let_181))))) (let ((_let_184 (= (tptp.and _let_19 tptp.x) (tptp.not (tptp.or _let_34 _let_20))))) (let ((_let_185 (= (tptp.and _let_19 _let_38) (tptp.not (tptp.or _let_34 _let_180))))) (let ((_let_186 (tptp.and _let_180 _let_21))) (let ((_let_187 (= _let_186 (tptp.not (tptp.or _let_181 _let_22))))) (let ((_let_188 (tptp.and tptp.falsehood _let_38))) (let ((_let_189 (= (tptp.and _let_29 _let_38) (tptp.and tptp.x _let_188)))) (let ((_let_190 (tptp.not _let_80))) (let ((_let_191 (= (tptp.and _let_80 _let_190) (tptp.and tptp.x (tptp.and _let_20 _let_190))))) (let ((_let_192 (= (tptp.and (tptp.and tptp.truth tptp.falsehood) tptp.x) (tptp.and tptp.truth _let_31)))) (let ((_let_193 (tptp.and _let_190 tptp.x))) (let ((_let_194 (tptp.and _let_193 _let_20))) (let ((_let_195 (= (tptp.and _let_190 _let_80) _let_194))) (let ((_let_196 (= _let_178 _let_173))) (let ((_let_197 (= _let_186 _let_182))) (let ((_let_198 (tptp.not _let_91))) (let ((_let_199 (= (tptp.and _let_91 _let_198) (tptp.and _let_198 _let_91)))) (let ((_let_200 (= (tptp.and _let_38 tptp.falsehood) _let_188))) (let ((_let_201 (= _let_37 (tptp.implies tptp.truth _let_37)))) (let ((_let_202 (= _let_20 (tptp.implies tptp.truth _let_20)))) (let ((_let_203 (= _let_60 (tptp.implies tptp.truth _let_60)))) (let ((_let_204 (= (tptp.implies (tptp.implies _let_60 _let_34) _let_34) (tptp.implies (tptp.implies _let_34 _let_60) _let_60)))) (let ((_let_205 (tptp.implies _let_60 _let_38))) (let ((_let_206 (= (tptp.implies (tptp.implies _let_38 _let_60) _let_60) (tptp.implies _let_205 _let_38)))) (let ((_let_207 (tptp.implies _let_19 _let_38))) (let ((_let_208 (= tptp.truth (tptp.implies _let_207 (tptp.implies _let_37 tptp.falsehood))))) (let ((_let_209 (= _let_172 (tptp.implies _let_75 _let_89)))) (let ((_let_210 (tptp.not _let_89))) (let ((_let_211 (= _let_176 (tptp.implies _let_210 _let_3)))) (let ((_let_212 (tptp.or tptp.falsehood tptp.x))) (let ((_let_213 (= _let_212 (tptp.implies _let_19 tptp.x)))) (let ((_let_214 (= (tptp.or _let_176 _let_3) (tptp.implies _let_177 _let_3)))) (let ((_let_215 (= (tptp.or (tptp.or _let_89 _let_49) _let_48) (tptp.or _let_89 _let_50)))) (let ((_let_216 (= _let_166 _let_212))) (let ((_let_217 (= (tptp.or _let_37 _let_34) (tptp.or _let_34 _let_37)))) (let ((_let_218 (= _let_172 _let_176))) (let ((_let_219 (tptp.not _let_95))) (let ((_let_220 (= (tptp.and _let_95 _let_21) (tptp.not (tptp.or _let_219 _let_22))))) (let ((_let_221 (= (tptp.and _let_21 _let_95) (tptp.not (tptp.or _let_22 _let_219))))) (let ((_let_222 (= (tptp.and _let_180 _let_176) (tptp.not (tptp.or _let_181 _let_177))))) (let ((_let_223 (= (tptp.and _let_194 tptp.x) (tptp.and _let_193 _let_83)))) (let ((_let_224 (= (tptp.and _let_49 _let_97) (tptp.and tptp.truth (tptp.and _let_3 _let_97))))) (let ((_let_225 (= (tptp.and _let_150 tptp.x) (tptp.and _let_19 (tptp.and tptp.truth tptp.x))))) (let ((_let_226 (= (tptp.and _let_150 _let_21) (tptp.and _let_19 (tptp.and tptp.truth _let_21))))) (let ((_let_227 (= (tptp.and (tptp.and _let_21 tptp.truth) _let_3) (tptp.and _let_21 _let_49)))) (let ((_let_228 (tptp.not _let_85))) (let ((_let_229 (= (tptp.and (tptp.and _let_228 _let_146) tptp.falsehood) (tptp.and _let_228 _let_147)))) (let ((_let_230 (= (tptp.and tptp.falsehood _let_198) (tptp.and _let_198 tptp.falsehood)))) (let ((_let_231 (= (tptp.and _let_89 _let_210) (tptp.and _let_210 _let_89)))) (let ((_let_232 (= (tptp.not (tptp.or _let_177 _let_38)) (tptp.and_star _let_176 _let_37)))) (let ((_let_233 (= (tptp.not (tptp.or _let_177 _let_181)) (tptp.and_star _let_176 _let_180)))) (let ((_let_234 (= _let_89 (tptp.implies tptp.truth _let_89)))) (let ((_let_235 (= tptp.truth (tptp.implies _let_207 (tptp.implies _let_39 (tptp.implies _let_19 _let_36)))))) (let ((_let_236 (SYMM (ASSUME :args (_let_4))))) (let ((_let_237 (_let_5))) (let ((_let_238 (ASSUME :args _let_237))) (let ((_let_239 (_let_12))) (let ((_let_240 (ASSUME :args _let_239))) (let ((_let_241 ((tptp.or X Y)))) (let ((_let_242 (_let_10))) (let ((_let_243 (ASSUME :args _let_242))) (let ((_let_244 ((tptp.or X Y)))) (let ((_let_245 (_let_9))) (let ((_let_246 (ASSUME :args _let_245))) (let ((_let_247 ((tptp.or (tptp.not X) (tptp.not Y))))) (let ((_let_248 (forall ((X $$unsorted) (Y $$unsorted)) (= tptp.truth (tptp.implies (tptp.implies (tptp.not X) (tptp.not Y)) (tptp.implies Y X)))))) (let ((_let_249 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_250 (_let_248))) (let ((_let_251 (tptp.not Y))) (let ((_let_252 (tptp.not X))) (let ((_let_253 (_let_252 _let_251))) (let ((_let_254 ((tptp.implies 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(ASSUME :args (_let_200)))) (let ((_let_739 (ASSUME :args (_let_189)))) (let ((_let_740 (ASSUME :args (_let_153)))) (let ((_let_741 (CONG _let_428 (TRANS _let_289 _let_287 _let_436 _let_433) :args _let_290))) (let ((_let_742 (CONG _let_428 _let_732 :args _let_290))) (let ((_let_743 (CONG _let_450 (TRANS (CONG (TRANS _let_740 (SYMM _let_741) (SYMM _let_742)) :args _let_285) (CONG (TRANS _let_742 _let_741 (SYMM _let_740) (CONG (SYMM _let_433) _let_428 :args _let_290) (SYMM (SYMM _let_739)) (CONG _let_291 (TRANS (SYMM _let_738) _let_731 _let_727 _let_724 _let_723) :args _let_290) _let_737 _let_736 (SYMM _let_734) _let_733 _let_694 _let_693) :args _let_285)) :args _let_290))) (let ((_let_744 (CONG _let_428 (TRANS _let_743 _let_716 _let_714 _let_711 _let_691 _let_685 _let_683 _let_676 _let_322 _let_318 _let_315 _let_292) :args _let_290))) (let ((_let_745 (ASSUME :args (_let_155)))) (let ((_let_746 (ASSUME :args (_let_213)))) (let ((_let_747 (ASSUME :args (_let_216)))) (let ((_let_748 (ASSUME :args (_let_167)))) (let ((_let_749 (TRANS (SYMM (TRANS _let_569 _let_568 _let_567 _let_521 _let_566 _let_518 _let_388 _let_517 _let_516 _let_350 _let_515 _let_359 _let_357 _let_353 (CONG (SYMM _let_552) (SYMM _let_547) :args _let_295) (CONG _let_390 _let_553 :args _let_295) (SYMM (SYMM _let_748)) (SYMM (SYMM _let_747)) (SYMM (SYMM _let_746)) (CONG _let_386 _let_291 :args _let_295) (SYMM _let_745))) (SYMM (TRANS _let_416 _let_395 _let_389 _let_387 _let_544 _let_522 _let_519 _let_514 _let_513)) _let_367))) (let ((_let_750 (CONG (TRANS _let_587 (SYMM _let_624)) (SYMM _let_743) :args _let_290))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_283)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_739 _let_748 _let_490 _let_523 _let_556 _let_532 _let_324 _let_411 _let_305 _let_461 _let_346 _let_703 _let_472 _let_669 _let_530 _let_545 _let_550 _let_466 _let_531 _let_487 _let_525 _let_356 _let_330 _let_369 _let_660 _let_286 _let_316 _let_539 _let_554 _let_296 _let_625 _let_540 _let_745 _let_419 _let_715 _let_740 _let_284 _let_583 _let_672 _let_622 _let_698 _let_434 _let_309 _let_577 _let_537 _let_448 _let_630 _let_236 _let_446 _let_534 _let_695 _let_368 _let_538 _let_323 _let_388 _let_626 _let_431 _let_524 _let_418 _let_303 _let_480 _let_730 _let_555 _let_684 _let_484 _let_397 _let_607 _let_645 _let_734 _let_497 _let_321 _let_735 _let_643 _let_478 _let_294 _let_288 _let_298 _let_719 _let_444 _let_666 _let_592 _let_494 _let_595 _let_663 _let_371 _let_612 _let_650 _let_623 _let_637 _let_606 _let_561 _let_414 _let_586 _let_725 _let_728 _let_655 _let_738 _let_306 _let_692 _let_334 _let_351 _let_348 _let_408 _let_358 _let_520 _let_442 _let_551 _let_511 _let_557 _let_383 _let_381 _let_589 _let_593 _let_374 _let_563 _let_598 _let_574 _let_642 _let_746 _let_560 _let_619 _let_680 _let_426 _let_709 _let_747 _let_687 _let_701 _let_721) (SCOPE (TRANS _let_236 _let_713 _let_712 _let_681 _let_692 _let_699 (SYMM _let_733) _let_734 (SYMM _let_736) (SYMM _let_737) (CONG _let_749 (TRANS _let_722 (SYMM _let_724) _let_726 (SYMM _let_731) (SYMM _let_744) (SYMM _let_750)) :args _let_290) (CONG (SYMM _let_749) _let_750 :args _let_290) (CONG _let_749 (TRANS _let_744 _let_731 _let_727 _let_724 _let_723 (CONG _let_720 :args _let_285) (CONG (TRANS (SYMM _let_720) (SYMM _let_718)) :args _let_285) (CONG (TRANS _let_718 (SYMM (SYMM _let_622)) (CONG (TRANS _let_576 (TRANS _let_621 _let_620 _let_618 _let_614 _let_584 _let_586 _let_605 _let_590 _let_604 _let_592 _let_603 (SYMM _let_617)) _let_617 (SYMM _let_615)) (TRANS _let_308 _let_337 _let_331 _let_565 _let_562 _let_559 (SYMM _let_611) _let_612 (SYMM _let_613)) :args _let_295) (CONG (TRANS _let_615 (SYMM _let_609) (SYMM _let_610)) (TRANS _let_613 (SYMM _let_612) _let_611 (SYMM _let_559) (SYMM _let_562) _let_564 _let_346 (SYMM _let_571) (SYMM _let_572) (SYMM _let_573) _let_575) :args _let_295) (CONG (TRANS _let_610 _let_609 (TRANS _let_602 (SYMM _let_592) _let_591 (SYMM _let_590) _let_588 _let_587 _let_585 _let_582 _let_579)) (TRANS (SYMM _let_575) _let_573 _let_572 _let_571 _let_347 _let_565 _let_562 _let_559 (CONG _let_439 (TRANS (SYMM _let_427) _let_425 (CONG _let_338 _let_422 :args _let_295)) :args _let_295)) :args _let_295) (SYMM _let_418)) :args _let_285) _let_392 _let_333) :args _let_290) (CONG (TRANS _let_417 (SYMM _let_410)) _let_406 :args _let_290) (CONG _let_410 (TRANS _let_236 (SYMM _let_370) _let_372) :args _let_290) (SYMM _let_383) (CONG (TRANS (TRANS _let_382 _let_380 _let_378 _let_329 _let_320) _let_319 _let_236) _let_291 :args _let_290) _let_293 _let_289 _let_287 (SYMM _let_284)) :args (_let_189 _let_167 _let_152 _let_151 _let_123 _let_149 _let_130 _let_127 _let_158 _let_125 _let_118 _let_142 _let_73 _let_222 _let_113 _let_137 _let_204 _let_106 _let_132 _let_191 _let_51 _let_72 _let_160 _let_131 _let_183 _let_28 _let_76 _let_107 _let_43 _let_35 _let_122 _let_96 _let_155 _let_47 _let_230 _let_153 _let_23 _let_209 _let_231 _let_161 _let_224 _let_30 _let_66 _let_159 _let_55 _let_114 _let_168 _let_17 _let_164 _let_109 _let_98 _let_68 _let_74 _let_79 _let_184 _let_201 _let_41 _let_143 _let_235 _let_59 _let_88 _let_217 _let_70 _let_199 _let_81 _let_169 _let_86 _let_174 _let_145 _let_94 _let_102 _let_154 _let_185 _let_103 _let_56 _let_32 _let_116 _let_170 _let_171 _let_187 _let_214 _let_134 _let_196 _let_197 _let_84 _let_206 _let_232 _let_208 _let_220 _let_211 _let_64 _let_202 _let_218 _let_227 _let_221 _let_233 _let_200 _let_157 _let_105 _let_124 _let_62 _let_156 _let_175 _let_121 _let_225 _let_165 _let_129 _let_141 _let_26 _let_223 _let_195 _let_215 _let_179 _let_104 _let_120 _let_192 _let_162 _let_226 _let_213 _let_45 _let_234 _let_92 _let_203 _let_229 _let_216 _let_148 _let_101 _let_139))) :args (_let_17 _let_23 _let_26 _let_28 _let_30 _let_32 _let_35 _let_41 _let_43 _let_45 _let_47 _let_51 _let_55 _let_56 _let_59 _let_62 _let_64 _let_66 _let_68 _let_70 _let_72 _let_73 _let_74 _let_76 _let_79 _let_81 _let_84 _let_86 _let_88 _let_92 _let_94 _let_96 _let_98 _let_101 _let_102 _let_103 _let_104 _let_105 _let_106 _let_107 _let_109 _let_113 _let_114 _let_116 _let_118 _let_120 _let_121 _let_122 _let_123 _let_124 _let_125 _let_127 _let_129 _let_130 _let_131 _let_132 _let_134 _let_137 _let_139 _let_141 _let_142 _let_143 _let_145 _let_148 _let_149 _let_151 _let_152 _let_153 _let_154 _let_155 _let_156 _let_157 _let_158 _let_159 _let_160 _let_161 _let_162 _let_164 _let_165 _let_167 _let_168 _let_169 _let_170 _let_171 _let_174 _let_175 _let_179 _let_183 _let_184 _let_185 _let_187 _let_189 _let_191 _let_192 _let_195 _let_196 _let_197 _let_199 _let_200 _let_201 _let_202 _let_203 _let_204 _let_206 _let_208 _let_209 _let_211 _let_213 _let_214 _let_215 _let_216 _let_217 _let_218 _let_220 _let_221 _let_222 _let_223 _let_224 _let_225 _let_226 _let_227 _let_229 _let_230 _let_231 _let_232 _let_233 _let_234 _let_235))) :args (true _let_283)) :args ((or _let_18 (not _let_17) (not _let_23) (not _let_26) (not _let_28) (not 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(not _let_159) (not _let_160) (not _let_161) (not _let_162) (not _let_164) (not _let_165) (not _let_167) (not _let_168) (not _let_169) (not _let_170) (not _let_171) (not _let_174) (not _let_175) (not _let_179) (not _let_183) (not _let_184) (not _let_185) (not _let_187) (not _let_189) (not _let_191) (not _let_192) (not _let_195) (not _let_196) (not _let_197) (not _let_199) (not _let_200) (not _let_201) (not _let_202) (not _let_203) (not _let_204) (not _let_206) (not _let_208) (not _let_209) (not _let_211) (not _let_213) (not _let_214) (not _let_215) (not _let_216) (not _let_217) (not _let_218) (not _let_220) (not _let_221) (not _let_222) (not _let_223) (not _let_224) (not _let_225) (not _let_226) (not _let_227) (not _let_229) (not _let_230) (not _let_231) (not _let_232) (not _let_233) (not _let_234) (not _let_235)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_273 :args (_let_19 _let_38 _let_36 QUANTIFIERS_INST_E_MATCHING _let_275)) :args _let_274)) _let_273 :args (_let_235 false _let_272)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_262 :args (_let_89 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_264)) :args _let_263)) _let_262 :args (_let_234 false _let_261)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_238 :args (_let_176 _let_180 QUANTIFIERS_INST_E_MATCHING _let_282)) :args _let_237))) _let_238 :args (_let_233 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_238 :args (_let_176 _let_37 QUANTIFIERS_INST_E_MATCHING _let_282)) :args _let_237))) _let_238 :args (_let_232 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_270 :args (_let_89 _let_210 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_271)) :args _let_269)) _let_270 :args (_let_231 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_270 :args (tptp.falsehood _let_198 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_271)) :args _let_269)) _let_270 :args 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false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_266 :args (_let_193 _let_20 tptp.x QUANTIFIERS_INST_E_MATCHING _let_267)) :args _let_265)) _let_266 :args (_let_223 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_246 :args (_let_180 _let_176 QUANTIFIERS_INST_E_MATCHING _let_247)) :args _let_245)) _let_246 :args (_let_222 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_246 :args (_let_21 _let_95 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_255)) :args _let_245)) _let_246 :args (_let_221 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_246 :args (_let_95 _let_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_255)) :args _let_245)) _let_246 :args (_let_220 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_243 :args (_let_3 _let_89 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_244)) :args _let_242)) _let_243 :args (_let_218 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_243 :args (_let_37 _let_34 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_244)) :args _let_242)) _let_243 :args (_let_217 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_243 :args (tptp.x tptp.falsehood QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_244)) :args _let_242)) _let_243 :args (_let_216 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_281 :args (_let_89 _let_49 _let_48 QUANTIFIERS_INST_E_MATCHING ((tptp.or X (tptp.or Y Z))))) :args _let_280)) _let_281 :args (_let_215 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_240 :args (_let_176 _let_3 QUANTIFIERS_INST_E_MATCHING _let_254)) :args _let_239)) _let_240 :args (_let_214 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_240 :args (tptp.falsehood tptp.x QUANTIFIERS_INST_E_MATCHING _let_254)) :args _let_239)) _let_240 :args (_let_213 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_240 :args (_let_89 _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_241)) :args _let_239)) _let_240 :args (_let_211 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_240 :args (_let_3 _let_89 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_241)) :args _let_239)) _let_240 :args (_let_209 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_249 :args (tptp.falsehood _let_37 QUANTIFIERS_INST_E_MATCHING _let_253)) :args _let_250)) _let_249 :args (_let_208 false _let_248)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_278 :args (_let_38 _let_60 QUANTIFIERS_INST_E_MATCHING _let_279)) :args _let_277)) _let_278 :args (_let_206 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_278 :args (_let_60 _let_34 QUANTIFIERS_INST_E_MATCHING _let_279)) :args _let_277)) _let_278 :args (_let_204 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_262 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(MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_246 :args (_let_20 tptp.truth QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_255)) :args _let_245)) _let_246 :args (_let_47 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_243 :args (_let_37 _let_36 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_244)) :args _let_242)) _let_243 :args (_let_45 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_240 :args (tptp.truth _let_20 QUANTIFIERS_INST_E_MATCHING _let_254)) :args _let_239))) _let_240 :args (_let_43 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_240 :args (_let_37 _let_36 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_241)) :args _let_239)) _let_240 :args (_let_41 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_249 :args (_let_19 _let_19 QUANTIFIERS_INST_E_MATCHING _let_253)) :args _let_250)) _let_249 :args (_let_35 false _let_248)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_246 :args (tptp.falsehood tptp.x QUANTIFIERS_INST_E_MATCHING _let_247)) :args _let_245))) _let_246 :args (_let_32 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_246 :args (tptp.x tptp.falsehood QUANTIFIERS_INST_E_MATCHING _let_247)) :args _let_245))) _let_246 :args (_let_30 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_243 :args (_let_20 _let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_244)) :args _let_242)) _let_243 :args (_let_28 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_240 :args (_let_20 _let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_241)) :args _let_239)) _let_240 :args (_let_26 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_238 :args (tptp.x tptp.falsehood QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.and_star X Y)))) :args _let_237)) _let_238 :args (_let_23 false _let_5)) (SYMM (ASSUME :args (_let_2))) _let_236 :args (false false _let_235 false _let_234 false _let_233 false _let_232 false _let_231 false _let_230 false _let_229 false _let_227 false _let_226 false _let_225 false _let_224 false _let_223 false _let_222 false _let_221 false _let_220 false _let_218 false _let_217 false _let_216 false _let_215 false _let_214 false _let_213 false _let_211 false _let_209 false _let_208 false _let_206 false _let_204 false _let_203 false _let_202 false _let_201 false _let_200 false _let_199 false _let_197 false _let_196 false _let_195 false _let_192 false _let_191 false _let_189 false _let_187 false _let_185 false _let_184 false _let_183 false _let_179 false _let_175 false _let_174 false _let_171 false _let_170 false _let_169 false _let_168 false _let_167 false _let_165 false _let_164 false _let_162 false _let_161 false _let_160 false _let_159 false _let_158 false _let_157 false _let_156 false _let_155 false _let_154 false _let_153 false _let_152 false _let_151 false _let_149 false _let_148 false _let_145 false _let_143 false _let_142 false _let_141 false _let_139 false _let_137 false _let_134 false _let_132 false _let_131 false _let_130 false _let_129 false _let_127 false _let_125 false _let_124 false _let_123 false _let_122 false _let_121 false _let_120 false _let_118 false _let_116 false _let_114 false _let_113 false _let_109 false _let_107 false _let_106 false _let_105 false _let_104 false _let_103 false _let_102 false _let_101 false _let_98 false _let_96 false _let_94 false _let_92 false _let_88 false _let_86 false _let_84 false _let_81 false _let_79 false _let_76 false _let_74 false _let_73 false _let_72 false _let_70 false _let_68 false _let_66 false _let_64 false _let_62 false _let_59 false _let_56 false _let_55 false _let_51 false _let_47 false _let_45 false _let_43 false _let_41 false _let_35 false _let_32 false _let_30 false _let_28 false _let_26 false _let_23 true _let_18 false _let_17)) :args (_let_16 _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 _let_7 _let_6 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.xor X Y) (tptp.xor Y X))) _let_5 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.and_star (tptp.and_star X Y) Z) (tptp.and_star X (tptp.and_star Y Z)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.and_star X Y) (tptp.and_star Y X))) _let_4 _let_2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 1.60/1.81  )
% 1.63/1.82  % SZS output end Proof for LCL157-1
% 1.63/1.82  % cvc5---1.0.5 exiting
% 1.63/1.82  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------