TSTP Solution File: GRP292-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP292-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n005.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 00:25:30 EDT 2023

% Result   : Unsatisfiable 22.55s 22.82s
% Output   : Proof 22.65s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : GRP292-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n005.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 29 01:56:38 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.21/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.50  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.iD9z15Jta6/cvc5---1.0.5_6553.p...
% 0.21/0.50  ------- get file name : TPTP file name is GRP292-1
% 0.21/0.51  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_6553.smt2...
% 0.21/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.72/10.90  --- Run --no-e-matching --full-saturate-quant at 5...
% 15.72/15.93  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.70/20.96  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 22.55/22.82  % SZS status Unsatisfiable for GRP292-1
% 22.55/22.82  % SZS output start Proof for GRP292-1
% 22.65/22.84  (
% 22.65/22.84  (let ((_let_1 (forall ((X3 $$unsorted) (X4 $$unsorted) (X2 $$unsorted) (X1 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c5)) (not (= (tptp.multiply X3 tptp.sk_c7) tptp.sk_c6)) (not (= (tptp.inverse X3) tptp.sk_c7)) (not (= (tptp.multiply X4 tptp.sk_c5) tptp.sk_c6)) (not (= (tptp.inverse X4) tptp.sk_c5)) (not (= (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c7)) (not (= (tptp.multiply X2 X1) tptp.sk_c6)) (not (= (tptp.inverse X2) X1)) (not (= (tptp.multiply X1 tptp.sk_c5) tptp.sk_c6)))))) (let ((_let_2 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (let ((_let_3 (= _let_2 tptp.sk_c6))) (let ((_let_4 (tptp.inverse tptp.sk_c2))) (let ((_let_5 (= _let_4 tptp.sk_c5))) (let ((_let_6 (tptp.inverse tptp.sk_c3))) (let ((_let_7 (= _let_6 tptp.sk_c4))) (let ((_let_8 (or _let_5 _let_7))) (let ((_let_9 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (let ((_let_10 (= _let_9 tptp.sk_c6))) (let ((_let_11 (or _let_5 _let_10))) (let ((_let_12 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (let ((_let_13 (= _let_12 tptp.sk_c7))) (let ((_let_14 (or _let_5 _let_13))) (let ((_let_15 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (let ((_let_16 (= _let_15 tptp.sk_c6))) (let ((_let_17 (or _let_16 _let_7))) (let ((_let_18 (or _let_16 _let_10))) (let ((_let_19 (or _let_16 _let_13))) (let ((_let_20 (tptp.inverse tptp.sk_c1))) (let ((_let_21 (= _let_20 tptp.sk_c7))) (let ((_let_22 (or _let_21 _let_3))) (let ((_let_23 (or _let_21 _let_7))) (let ((_let_24 (or _let_21 _let_10))) (let ((_let_25 (or _let_21 _let_13))) (let ((_let_26 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (let ((_let_27 (= _let_26 tptp.sk_c6))) (let ((_let_28 (or _let_27 _let_3))) (let ((_let_29 (or _let_27 _let_7))) (let ((_let_30 (or _let_27 _let_10))) (let ((_let_31 (or _let_27 _let_13))) (let ((_let_32 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (let ((_let_33 (= _let_32 tptp.sk_c5))) (let ((_let_34 (or _let_33 _let_3))) (let ((_let_35 (or _let_33 _let_7))) (let ((_let_36 (or _let_33 _let_10))) (let ((_let_37 (or _let_33 _let_13))) (let ((_let_38 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))) (let ((_let_39 (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity)))) (let ((_let_40 (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)))) (let ((_let_41 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (let ((_let_42 (tptp.inverse tptp.sk_c6))) (let ((_let_43 (tptp.multiply _let_42 tptp.sk_c6))) (let ((_let_44 (= tptp.identity _let_43))) (let ((_let_45 (tptp.multiply _let_6 tptp.sk_c3))) (let ((_let_46 (= tptp.identity _let_45))) (let ((_let_47 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (let ((_let_48 (= (tptp.multiply _let_9 tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))))) (let ((_let_49 (= (tptp.multiply _let_45 tptp.sk_c4) (tptp.multiply _let_6 _let_9)))) (let ((_let_50 (= tptp.sk_c6 _let_9))) (let ((_let_51 (= tptp.sk_c4 _let_6))) (let ((_let_52 (= tptp.identity tptp.sk_c6))) (let ((_let_53 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (let ((_let_54 (= (tptp.multiply _let_43 tptp.sk_c6) (tptp.multiply _let_42 _let_53)))) (let ((_let_55 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))) (let ((_let_56 (EQ_RESOLVE (ASSUME :args (_let_40)) (MACRO_SR_EQ_INTRO :args (_let_40 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_57 (_let_55))) (let ((_let_58 (tptp.sk_c6 QUANTIFIERS_INST_FMF_FMC_EXH))) (let ((_let_59 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args _let_58) :args _let_57)) _let_56 :args (_let_41 false _let_55)))) (let ((_let_60 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))) (let ((_let_61 (EQ_RESOLVE (ASSUME :args (_let_39)) (MACRO_SR_EQ_INTRO :args (_let_39 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_62 (_let_60))) (let ((_let_63 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (tptp.sk_c3 QUANTIFIERS_INST_CBQI_PROP)) :args _let_62)) _let_61 :args (_let_46 false _let_60)))) (let ((_let_64 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (tptp.sk_c4 QUANTIFIERS_INST_CBQI_PROP)) :args _let_57)) _let_56 :args (_let_47 false _let_55)))) (let ((_let_65 (_let_38))) (let ((_let_66 (ASSUME :args _let_65))) (let ((_let_67 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (tptp.sk_c3 tptp.sk_c4 tptp.sk_c6 QUANTIFIERS_INST_CBQI_PROP)) :args _let_65)) _let_66 :args (_let_48 false _let_38)))) (let ((_let_68 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (_let_6 tptp.sk_c3 tptp.sk_c4 QUANTIFIERS_INST_CBQI_PROP)) :args _let_65)) _let_66 :args (_let_49 false _let_38)))) (let ((_let_69 (= tptp.sk_c5 _let_32))) (let ((_let_70 (= tptp.sk_c7 _let_20))) (let ((_let_71 (= tptp.sk_c6 _let_26))) (let ((_let_72 (= tptp.sk_c7 _let_12))) (let ((_let_73 (= tptp.sk_c6 _let_2))) (let ((_let_74 (tptp.inverse _let_12))) (let ((_let_75 (tptp.multiply _let_74 _let_12))) (let ((_let_76 (= tptp.identity _let_75))) (let ((_let_77 (= (tptp.multiply _let_75 tptp.sk_c6) (tptp.multiply _let_74 (tptp.multiply _let_12 tptp.sk_c6))))) (let ((_let_78 (tptp.inverse tptp.sk_c7))) (let ((_let_79 (= tptp.sk_c6 (tptp.multiply _let_78 tptp.sk_c5)))) (let ((_let_80 (tptp.multiply _let_32 tptp.sk_c6))) (let ((_let_81 (= _let_80 (tptp.multiply tptp.sk_c7 _let_53)))) (let ((_let_82 (= tptp.identity (tptp.multiply (tptp.inverse _let_80) _let_80)))) (let ((_let_83 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (let ((_let_84 (= _let_74 (tptp.multiply tptp.identity _let_74)))) (let ((_let_85 (= (tptp.multiply _let_75 _let_74) (tptp.multiply _let_74 (tptp.multiply _let_12 _let_74))))) (let ((_let_86 (tptp.multiply tptp.sk_c7 _let_78))) (let ((_let_87 (= _let_86 (tptp.multiply tptp.identity _let_86)))) (let ((_let_88 (tptp.inverse _let_74))) (let ((_let_89 (tptp.multiply _let_88 _let_74))) (let ((_let_90 (= tptp.identity _let_89))) (let ((_let_91 (= (tptp.multiply _let_89 _let_86) (tptp.multiply _let_88 (tptp.multiply _let_74 _let_86))))) (let ((_let_92 (= tptp.sk_c6 _let_86))) (let ((_let_93 (tptp.multiply _let_74 tptp.sk_c7))) (let ((_let_94 (tptp.multiply tptp.sk_c7 _let_74))) (let ((_let_95 (= (tptp.multiply _let_94 tptp.sk_c7) (tptp.multiply tptp.sk_c7 _let_93)))) (let ((_let_96 (= (tptp.multiply _let_2 _let_78) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 _let_78))))) (let ((_let_97 (tptp.inverse tptp.sk_c4))) (let ((_let_98 (tptp.multiply _let_74 _let_97))) (let ((_let_99 (= (tptp.multiply _let_94 _let_97) (tptp.multiply tptp.sk_c7 _let_98)))) (let ((_let_100 (tptp.multiply _let_97 _let_97))) (let ((_let_101 (tptp.multiply _let_100 _let_74))) (let ((_let_102 (= _let_101 (tptp.multiply _let_97 (tptp.multiply _let_97 _let_74))))) (let ((_let_103 (= _let_97 (tptp.multiply tptp.identity _let_97)))) (let ((_let_104 (tptp.multiply (tptp.multiply _let_97 _let_93) _let_97))) (let ((_let_105 (= _let_104 (tptp.multiply _let_97 (tptp.multiply _let_93 _let_97))))) (let ((_let_106 (= (tptp.multiply _let_101 _let_97) (tptp.multiply _let_100 _let_98)))) (let ((_let_107 (tptp.inverse _let_104))) (let ((_let_108 (tptp.multiply _let_107 _let_104))) (let ((_let_109 (= tptp.identity _let_108))) (let ((_let_110 (= (tptp.multiply _let_108 _let_98) (tptp.multiply _let_107 (tptp.multiply _let_104 _let_98))))) (let ((_let_111 (= (tptp.multiply _let_32 _let_98) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 _let_98))))) (let ((_let_112 (= tptp.sk_c7 _let_97))) (let ((_let_113 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (let ((_let_114 (= tptp.sk_c6 _let_113))) (let ((_let_115 (= tptp.sk_c5 _let_97))) (let ((_let_116 (not _let_79))) (let ((_let_117 (not _let_92))) (let ((_let_118 (or _let_117 _let_116))) (let ((_let_119 (not _let_112))) (let ((_let_120 (not _let_114))) (let ((_let_121 (or _let_120 _let_119))) (let ((_let_122 (not _let_115))) (let ((_let_123 (not _let_73))) (let ((_let_124 (or _let_123 _let_122))) (let ((_let_125 (forall ((X2 $$unsorted)) (let ((_let_1 (tptp.inverse X2))) (or (not (= tptp.sk_c6 (tptp.multiply X2 _let_1))) (not (= tptp.sk_c6 (tptp.multiply _let_1 tptp.sk_c5)))))))) (let ((_let_126 (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))))) (let ((_let_127 (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4))))))) (let ((_let_128 (not _let_69))) (let ((_let_129 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (_let_12 QUANTIFIERS_INST_CBQI_PROP)) :args _let_62)) _let_61 :args (_let_76 false _let_60)))) (let ((_let_130 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (_let_74 _let_12 tptp.sk_c6 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_65)) _let_66 :args (_let_77 false _let_38)))) (let ((_let_131 (not _let_77))) (let ((_let_132 (not _let_76))) (let ((_let_133 (not _let_41))) (let ((_let_134 (not _let_72))) (let ((_let_135 (and _let_69 _let_72 _let_41 _let_76 _let_77))) (let ((_let_136 (APPLY_UF tptp.multiply))) (let ((_let_137 (ASSUME :args (_let_69)))) (let ((_let_138 (SYMM _let_137))) (let ((_let_139 (REFL :args (tptp.sk_c6)))) (let ((_let_140 (ASSUME :args (_let_72)))) (let ((_let_141 (SYMM _let_140))) (let ((_let_142 (SYMM _let_141))) (let ((_let_143 (SYMM _let_142))) (let ((_let_144 (CONG _let_143 _let_139 :args _let_136))) (let ((_let_145 (APPLY_UF tptp.inverse))) (let ((_let_146 (CONG _let_138 _let_139 :args _let_136))) (let ((_let_147 (TRANS _let_146 _let_143))) (let ((_let_148 (SYMM _let_146))) (let ((_let_149 (CONG _let_148 :args _let_145))) (let ((_let_150 (TRANS _let_149 (CONG _let_147 :args _let_145)))) (let ((_let_151 (ASSUME :args (_let_77)))) (let ((_let_152 (SYMM _let_151))) (let ((_let_153 (SYMM _let_152))) (let ((_let_154 (ASSUME :args (_let_76)))) (let ((_let_155 (SYMM _let_154))) (let ((_let_156 (SYMM _let_155))) (let ((_let_157 (CONG _let_156 _let_139 :args _let_136))) (let ((_let_158 (ASSUME :args (_let_41)))) (let ((_let_159 (SYMM _let_158))) (let ((_let_160 (SYMM _let_159))) (let ((_let_161 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_135)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_140 _let_137 _let_151 _let_154 _let_158) (SCOPE (TRANS _let_160 _let_157 _let_153 (CONG _let_150 (TRANS _let_144 _let_138) :args _let_136)) :args (_let_72 _let_69 _let_77 _let_76 _let_41))) :args (_let_69 _let_72 _let_41 _let_76 _let_77))) :args (true _let_135)) :args ((or _let_128 _let_134 _let_133 _let_132 _let_79 _let_131))))) (let ((_let_162 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (tptp.sk_c7 tptp.sk_c6 tptp.sk_c6 QUANTIFIERS_INST_CBQI_PROP)) :args _let_65)) _let_66 :args (_let_81 false _let_38)))) (let ((_let_163 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (_let_80 QUANTIFIERS_INST_CBQI_PROP)) :args _let_62)) _let_61 :args (_let_82 false _let_60)))) (let ((_let_164 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (tptp.sk_c7 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_57)) _let_56 :args (_let_83 false _let_55)))) (let ((_let_165 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (_let_74 QUANTIFIERS_INST_CBQI_PROP)) :args _let_57)) _let_56 :args (_let_84 false _let_55)))) (let ((_let_166 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (_let_74 _let_12 _let_74 QUANTIFIERS_INST_CBQI_PROP)) :args _let_65)) _let_66 :args (_let_85 false _let_38)))) (let ((_let_167 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (_let_86 QUANTIFIERS_INST_CBQI_PROP)) :args _let_57)) _let_56 :args (_let_87 false _let_55)))) (let ((_let_168 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (_let_74 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_62)) _let_61 :args (_let_90 false _let_60)))) (let ((_let_169 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (_let_88 _let_74 _let_86 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_65)) _let_66 :args (_let_91 false _let_38)))) (let ((_let_170 (not _let_49))) (let ((_let_171 (not _let_48))) (let ((_let_172 (not _let_47))) (let ((_let_173 (not _let_46))) (let ((_let_174 (not _let_91))) (let ((_let_175 (not _let_90))) (let ((_let_176 (not _let_87))) (let ((_let_177 (not _let_85))) (let ((_let_178 (not _let_84))) (let ((_let_179 (not _let_83))) (let ((_let_180 (not _let_82))) (let ((_let_181 (not _let_81))) (let ((_let_182 (not _let_51))) (let ((_let_183 (not _let_50))) (let ((_let_184 (and _let_69 _let_72 _let_50 _let_51 _let_81 _let_41 _let_82 _let_76 _let_83 _let_84 _let_85 _let_87 _let_90 _let_91 _let_46 _let_47 _let_48 _let_49 _let_77))) (let ((_let_185 (ASSUME :args (_let_87)))) (let ((_let_186 (SYMM _let_185))) (let ((_let_187 (REFL :args (_let_86)))) (let ((_let_188 (ASSUME :args (_let_90)))) (let ((_let_189 (SYMM _let_188))) (let ((_let_190 (CONG _let_189 _let_187 :args _let_136))) (let ((_let_191 (ASSUME :args (_let_91)))) (let ((_let_192 (SYMM _let_191))) (let ((_let_193 (REFL :args (_let_78)))) (let ((_let_194 (SYMM _let_147))) (let ((_let_195 (REFL :args (_let_74)))) (let ((_let_196 (ASSUME :args (_let_85)))) (let ((_let_197 (SYMM _let_196))) (let ((_let_198 (SYMM _let_197))) (let ((_let_199 (CONG _let_156 _let_195 :args _let_136))) (let ((_let_200 (ASSUME :args (_let_84)))) (let ((_let_201 (SYMM _let_200))) (let ((_let_202 (SYMM _let_201))) (let ((_let_203 (REFL :args (_let_88)))) (let ((_let_204 (ASSUME :args (_let_82)))) (let ((_let_205 (SYMM _let_204))) (let ((_let_206 (ASSUME :args (_let_81)))) (let ((_let_207 (SYMM _let_206))) (let ((_let_208 (SYMM _let_207))) (let ((_let_209 (SYMM _let_208))) (let ((_let_210 (REFL :args (_let_53)))) (let ((_let_211 (ASSUME :args (_let_83)))) (let ((_let_212 (SYMM _let_211))) (let ((_let_213 (CONG _let_212 _let_210 :args _let_136))) (let ((_let_214 (ASSUME :args (_let_50)))) (let ((_let_215 (SYMM _let_214))) (let ((_let_216 (CONG _let_215 _let_139 :args _let_136))) (let ((_let_217 (ASSUME :args (_let_48)))) (let ((_let_218 (SYMM _let_217))) (let ((_let_219 (SYMM _let_218))) (let ((_let_220 (ASSUME :args (_let_51)))) (let ((_let_221 (SYMM _let_220))) (let ((_let_222 (SYMM _let_221))) (let ((_let_223 (CONG (SYMM _let_222) _let_215 :args _let_136))) (let ((_let_224 (ASSUME :args (_let_49)))) (let ((_let_225 (SYMM _let_224))) (let ((_let_226 (SYMM _let_225))) (let ((_let_227 (REFL :args (tptp.sk_c4)))) (let ((_let_228 (ASSUME :args (_let_46)))) (let ((_let_229 (SYMM _let_228))) (let ((_let_230 (SYMM _let_229))) (let ((_let_231 (CONG _let_230 _let_227 :args _let_136))) (let ((_let_232 (ASSUME :args (_let_47)))) (let ((_let_233 (SYMM _let_232))) (let ((_let_234 (SYMM _let_233))) (let ((_let_235 (REFL :args (tptp.sk_c3)))) (let ((_let_236 (CONG _let_211 (TRANS _let_214 (CONG _let_235 (TRANS _let_234 _let_231 _let_226 _let_223) :args _let_136) (SYMM _let_219) 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_let_200 _let_204 _let_510 _let_512 _let_206 _let_408 _let_475 _let_516 _let_457 _let_454 _let_214 _let_217 _let_220 _let_224 _let_228 _let_232 _let_519 _let_158 _let_522) (SCOPE (TRANS _let_160 _let_524 _let_523 (CONG _let_521 (TRANS (CONG _let_403 (TRANS _let_160 (CONG (TRANS _let_188 _let_528 _let_192 _let_190 _let_186) _let_139 :args _let_136)) :args _let_136) _let_520 (CONG (TRANS (TRANS (CONG _let_403 (SYMM _let_529) :args _let_136) _let_513 (SYMM _let_530)) _let_530) (TRANS _let_214 _let_482 _let_218 _let_216 _let_481 _let_475 _let_480) :args _let_136) _let_517 _let_515 _let_514) :args _let_136) _let_511 (CONG _let_509 _let_529 :args _let_136) _let_190 _let_186) :args (_let_87 _let_90 _let_351 _let_91 _let_72 _let_69 _let_85 _let_76 _let_84 _let_82 _let_362 _let_358 _let_81 _let_341 _let_349 _let_361 _let_352 _let_353 _let_50 _let_48 _let_51 _let_49 _let_46 _let_47 _let_359 _let_41 _let_354))) :args _let_502)) :args _let_501) :args ((or _let_128 _let_134 _let_183 _let_182 _let_363 _let_472 _let_181 _let_133 _let_180 _let_132 _let_431 _let_436 _let_435 _let_499 _let_92 _let_498 _let_178 _let_497 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_496 _let_495))) _let_494 _let_493 _let_68 _let_67 _let_64 _let_63 _let_169 _let_168 _let_167 _let_166 _let_492 _let_165 _let_491 _let_490 _let_434 _let_433 _let_375 _let_129 _let_163 _let_59 _let_162 _let_471 (REORDERING (RESOLUTION _let_525 (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_140 _let_137 _let_214 _let_232 _let_228 _let_224 _let_220 _let_217 _let_408 _let_475 _let_206 _let_204 _let_188 _let_200 _let_154 _let_196 _let_191 _let_383 _let_185 _let_510 _let_512 _let_516 _let_457 _let_454 _let_519 _let_158 _let_522) (SCOPE (TRANS _let_160 _let_524 _let_523 (CONG _let_521 (TRANS (CONG _let_403 (TRANS _let_160 (CONG (TRANS _let_188 _let_507 _let_192 _let_190 _let_186) _let_139 :args _let_136)) :args _let_136) _let_520 (CONG (TRANS (TRANS (CONG _let_403 (SYMM _let_508) :args _let_136) _let_513 (SYMM _let_518)) _let_518) (TRANS _let_214 (SYMM _let_484) _let_218 (SYMM _let_333) _let_481 _let_475 _let_480) :args _let_136) _let_517 _let_515 _let_514) :args _let_136) _let_511 (CONG _let_509 _let_508 :args _let_136) _let_283 _let_506 _let_189 _let_452 _let_504 (CONG _let_503 _let_488 :args _let_136)) :args (_let_72 _let_69 _let_50 _let_47 _let_46 _let_49 _let_51 _let_48 _let_341 _let_349 _let_81 _let_82 _let_90 _let_84 _let_76 _let_85 _let_91 _let_351 _let_87 _let_362 _let_358 _let_361 _let_352 _let_353 _let_359 _let_41 _let_354))) :args _let_502)) :args _let_501) :args ((or _let_128 _let_134 _let_183 _let_182 _let_363 _let_472 _let_181 _let_133 _let_180 _let_132 _let_431 _let_436 _let_435 _let_499 _let_79 _let_498 _let_178 _let_497 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_496 _let_495))) _let_494 _let_493 _let_68 _let_67 _let_64 _let_63 _let_169 _let_168 _let_167 _let_166 _let_492 _let_165 _let_491 _let_490 _let_434 _let_433 _let_375 _let_129 _let_163 _let_59 _let_162 _let_471 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_483)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_137 _let_140 _let_214 _let_232 _let_228 _let_224 _let_220 _let_217 _let_408 _let_475 _let_206 _let_396) (SCOPE (TRANS _let_489 (CONG _let_415 _let_488 :args _let_136)) :args (_let_69 _let_72 _let_50 _let_47 _let_46 _let_49 _let_51 _let_48 _let_341 _let_349 _let_81 _let_71))) :args (_let_69 _let_72 _let_50 _let_51 _let_71 _let_341 _let_349 _let_81 _let_46 _let_47 _let_48 _let_49))) :args (true _let_483)) :args ((or _let_128 _let_134 _let_183 _let_182 _let_339 _let_363 _let_472 _let_181 _let_343 _let_173 _let_172 _let_171 _let_170))) _let_68 _let_67 _let_64 _let_63 _let_162 _let_471 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_473)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_381 _let_140 _let_137 _let_206 _let_408 _let_475 _let_214 _let_217 _let_220 _let_224 _let_228 _let_232) (SCOPE (TRANS _let_137 (CONG _let_478 (TRANS _let_214 _let_482 _let_218 _let_216 _let_481 _let_475 _let_480 (SYMM _let_479)) :args _let_136) (CONG (SYMM _let_478) (TRANS _let_479 _let_477 _let_476 _let_474) :args _let_136) _let_207 _let_146 _let_141 _let_382) :args (_let_70 _let_72 _let_69 _let_81 _let_341 _let_349 _let_50 _let_48 _let_51 _let_49 _let_46 _let_47))) :args (_let_69 _let_72 _let_50 _let_51 _let_70 _let_341 _let_349 _let_81 _let_46 _let_47 _let_48 _let_49))) :args (true _let_473)) :args ((or _let_128 _let_134 _let_183 _let_182 _let_338 _let_363 _let_472 _let_181 _let_342 _let_173 _let_172 _let_171 _let_170))) _let_68 _let_67 _let_64 _let_63 _let_162 _let_471 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_51 _let_348))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_50 _let_348))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_72 _let_348))) (MACRO_RESOLUTION_TRUST _let_240 _let_238 _let_312 (REORDERING (RESOLUTION _let_460 (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_211 _let_383 _let_386 _let_389 _let_137 _let_405 _let_408 _let_396 _let_399 _let_394 _let_204 _let_449 _let_200 _let_154 _let_196 _let_185 _let_188 _let_191 _let_454 _let_457) (SCOPE (TRANS _let_396 _let_464 _let_400 _let_463 _let_462 _let_405 _let_461 (CONG (TRANS (TRANS _let_459 (CONG _let_154 _let_403 :args _let_136) _let_456 (CONG _let_195 (TRANS (CONG _let_335 _let_403 :args _let_136) (CONG _let_465 _let_403 :args _let_136) (CONG (TRANS _let_423 _let_391) _let_403 :args _let_136) _let_384 _let_452 _let_469) :args _let_136) (CONG _let_195 (TRANS (SYMM _let_469) _let_205 _let_188 (CONG _let_203 (TRANS _let_200 (SYMM _let_276) _let_196 (SYMM _let_470)) :args _let_136) _let_192 _let_190 _let_186) :args _let_136) _let_470 _let_197 _let_276 _let_201) (TRANS _let_467 _let_466 (CONG _let_423 :args _let_145))) _let_423 :args _let_136) _let_450 _let_452 _let_469 (CONG _let_468 _let_423 :args _let_136)) :args (_let_83 _let_351 _let_370 _let_348 _let_69 _let_369 _let_341 _let_71 _let_368 _let_367 _let_82 _let_371 _let_84 _let_76 _let_85 _let_87 _let_90 _let_91 _let_353 _let_352))) :args _let_440)) :args _let_439) :args ((or _let_128 _let_339 _let_363 _let_372 _let_180 _let_437 _let_132 _let_431 _let_179 _let_430 _let_436 _let_429 _let_435 _let_428 _let_427 _let_79 _let_178 _let_177 _let_176 _let_175 _let_174))) _let_169 _let_168 _let_167 _let_166 _let_165 _let_379 _let_378 _let_434 _let_377 _let_433 _let_376 _let_164 _let_375 _let_129 _let_432 _let_163 (REORDERING (RESOLUTION _let_460 (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_185 _let_188 _let_191 _let_211 _let_383 _let_386 _let_389 _let_137 _let_405 _let_408 _let_396 _let_399 _let_394 _let_196 _let_154 _let_200 _let_449 _let_204 _let_454 _let_457) (SCOPE (TRANS _let_396 _let_443 _let_402 _let_398 _let_410 _let_407 _let_404 (CONG (TRANS (TRANS _let_459 (CONG _let_156 _let_403 :args _let_136) _let_456 (CONG _let_195 (TRANS (CONG _let_270 _let_403 :args _let_136) (CONG _let_445 _let_403 :args _let_136) (CONG (TRANS _let_451 _let_391) _let_403 :args _let_136) _let_384 _let_452 (SYMM _let_453)) :args _let_136) (CONG _let_195 (TRANS _let_453 (SYMM _let_452) _let_188 _let_448 _let_192 _let_190 _let_186) :args _let_136) (SYMM _let_447) _let_197 (SYMM _let_199) _let_201) (TRANS _let_272 _let_446 (CONG _let_451 :args _let_145))) _let_451 :args _let_136) _let_450 _let_188 _let_448 _let_192 _let_190 _let_186) :args (_let_87 _let_90 _let_91 _let_83 _let_351 _let_370 _let_348 _let_69 _let_369 _let_341 _let_71 _let_368 _let_367 _let_85 _let_76 _let_84 _let_371 _let_82 _let_353 _let_352))) :args _let_440)) :args _let_439) :args ((or _let_128 _let_339 _let_363 _let_372 _let_180 _let_437 _let_132 _let_431 _let_179 _let_430 _let_436 _let_429 _let_435 _let_428 _let_427 _let_92 _let_178 _let_177 _let_176 _let_175 _let_174))) _let_169 _let_168 _let_167 _let_166 _let_165 _let_379 _let_378 _let_434 _let_377 _let_433 _let_376 _let_164 _let_375 _let_129 _let_432 _let_163 (REORDERING (RESOLUTION _let_424 (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_137 _let_389 _let_396 _let_211 _let_383 _let_386 _let_394 _let_408 _let_405 _let_399) (SCOPE (TRANS _let_211 _let_414 _let_386 (CONG (TRANS _let_390 _let_137) (TRANS _let_420 _let_406 _let_419 _let_422 _let_401 _let_421 _let_397) :args _let_136) _let_146) :args (_let_69 _let_348 _let_71 _let_83 _let_351 _let_370 _let_367 _let_341 _let_369 _let_368))) :args _let_418)) :args _let_417) :args ((or _let_72 _let_128 _let_339 _let_363 _let_372 _let_431 _let_179 _let_430 _let_429 _let_428 _let_427))) _let_379 _let_378 _let_377 _let_376 _let_164 _let_375 _let_426 (MACRO_RESOLUTION_TRUST _let_425 (RESOLUTION _let_424 (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_137 _let_396 _let_211 _let_383 _let_386 _let_389 _let_394 _let_408 _let_405 _let_399) (SCOPE (TRANS _let_396 (CONG _let_415 _let_423 :args _let_136)) :args (_let_69 _let_71 _let_83 _let_351 _let_370 _let_348 _let_367 _let_341 _let_369 _let_368))) :args _let_418)) :args _let_417) _let_379 _let_378 _let_377 _let_376 _let_164 _let_375 (RESOLUTION (CNF_AND_NEG :args (_let_380)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_381 _let_211 _let_383 _let_386 _let_389 _let_137 _let_394 _let_396 _let_399 _let_405 _let_408) (SCOPE (TRANS _let_137 (CONG _let_303 (TRANS _let_396 (CONG _let_415 (TRANS _let_211 _let_414 _let_386 _let_413 _let_412 _let_394 _let_411) :args _let_136) _let_402 _let_398) :args _let_136) _let_395 _let_393 _let_392 _let_387 _let_385 _let_212 _let_382) :args (_let_70 _let_83 _let_351 _let_370 _let_348 _let_69 _let_367 _let_71 _let_368 _let_369 _let_341))) :args (_let_69 _let_71 _let_70 _let_341 _let_348 _let_351 _let_83 _let_367 _let_368 _let_369 _let_370))) :args (true _let_380)) _let_379 _let_378 _let_377 _let_376 _let_164 _let_375 :args ((or _let_128 _let_339 _let_338 _let_363 _let_372 _let_373) false _let_343 false _let_370 false _let_369 false _let_368 false _let_367 false _let_83 false _let_351 false _let_342 false _let_370 false _let_369 false _let_368 false _let_367 false _let_83 false _let_351)) _let_365 _let_347 :args ((or _let_128 _let_339 _let_338 _let_363 _let_372) true _let_118 false _let_125 false _let_79 false _let_91 false _let_90 false _let_87 false _let_85 false _let_84 false _let_370 false _let_369 false _let_353 false _let_368 false _let_352 false _let_367 false _let_83 false _let_351 false _let_76 false _let_371 false _let_82 false _let_92 false _let_91 false _let_90 false _let_87 false _let_85 false _let_84 false _let_370 false _let_369 false _let_353 false _let_368 false _let_352 false _let_367 false _let_83 false _let_351 false _let_76 false _let_371 false _let_82 false _let_72 false _let_370 false _let_369 false _let_368 false _let_367 false _let_83 false _let_351 true _let_127 true _let_346 true _let_126 true _let_340)) _let_365 _let_347 :args ((or _let_128 _let_339 _let_338 _let_363) true _let_125 true _let_127 true _let_118 true _let_346 false _let_92 false _let_362 false _let_361 false _let_49 false _let_48 false _let_47 false _let_46 false _let_91 false _let_90 false _let_87 false _let_85 false _let_359 false _let_84 false _let_358 false _let_354 false _let_353 false _let_352 false _let_351 false _let_76 false _let_82 false _let_41 false _let_81 false _let_349 false _let_79 false _let_362 false _let_361 false _let_49 false _let_48 false _let_47 false _let_46 false _let_91 false _let_90 false _let_87 false _let_85 false _let_359 false _let_84 false _let_358 false _let_354 false _let_353 false _let_352 false _let_351 false _let_76 false _let_82 false _let_41 false _let_81 false _let_349 false _let_343 false _let_49 false _let_48 false _let_47 false _let_46 false _let_81 false _let_349 false _let_342 false _let_49 false _let_48 false _let_47 false _let_46 false _let_81 false _let_349 false _let_51 false _let_50 false _let_72 true _let_348 true _let_126 true _let_340)) _let_347 :args ((or _let_128 _let_339 _let_338) true _let_127 true _let_125 true _let_346 true _let_118 false _let_343 false _let_49 false _let_48 false _let_47 false _let_46 false _let_83 false _let_81 false _let_92 false _let_77 false _let_49 false _let_48 false _let_47 false _let_46 false _let_91 false _let_90 false _let_87 false _let_85 false _let_84 false _let_83 false _let_76 false _let_82 false _let_41 false _let_81 false _let_342 false _let_49 false _let_48 false _let_47 false _let_46 false _let_83 false _let_81 false _let_79 false _let_77 false _let_76 false _let_41 false _let_51 false _let_50 false _let_72 true _let_126 true _let_341 true _let_340)) (MACRO_RESOLUTION_TRUST _let_337 _let_255 _let_254 _let_253 _let_252 _let_251 _let_250 _let_249 _let_248 _let_130 _let_68 _let_67 _let_64 _let_63 _let_169 _let_168 _let_167 _let_247 _let_166 _let_165 _let_246 _let_164 _let_129 _let_163 _let_59 _let_162 _let_316 _let_315 _let_312 _let_311 _let_307 _let_306 _let_255 _let_254 _let_253 _let_252 _let_251 _let_250 _let_249 _let_248 _let_130 _let_68 _let_67 _let_64 _let_63 _let_169 _let_168 _let_167 _let_247 _let_166 _let_165 _let_246 _let_164 _let_129 _let_163 _let_59 _let_162 _let_245 _let_68 _let_67 _let_64 _let_63 _let_164 _let_162 _let_240 _let_238 _let_237 _let_130 _let_68 _let_67 _let_64 _let_63 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_129 _let_163 _let_59 _let_162 _let_161 _let_130 _let_129 _let_59 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_22)) (MACRO_SR_EQ_INTRO :args (_let_22 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_73 _let_70))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_23)) (MACRO_SR_EQ_INTRO :args (_let_23 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_51 _let_70))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_24)) (MACRO_SR_EQ_INTRO :args (_let_24 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_50 _let_70))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_25)) (MACRO_SR_EQ_INTRO :args (_let_25 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_72 _let_70))) :args ((or _let_70 _let_128) false _let_111 false _let_110 false _let_109 false _let_106 false _let_105 false _let_103 false _let_102 false _let_99 false _let_77 false _let_49 false _let_48 false _let_47 false _let_46 false _let_91 false _let_90 false _let_87 false _let_96 false _let_85 false _let_84 false _let_95 false _let_83 false _let_76 false _let_82 false _let_41 false _let_81 true _let_115 false _let_124 false _let_127 true _let_126 true _let_121 false _let_112 false _let_111 false _let_110 false _let_109 false _let_106 false _let_105 false _let_103 false _let_102 false _let_99 false _let_77 false _let_49 false _let_48 false _let_47 false _let_46 false _let_91 false _let_90 false _let_87 false _let_96 false _let_85 false _let_84 false _let_95 false _let_83 false _let_76 false _let_82 false _let_41 false _let_81 false _let_114 false _let_49 false _let_48 false _let_47 false _let_46 false _let_83 false _let_81 true _let_125 true _let_118 false _let_92 false _let_77 false _let_49 false _let_48 false _let_47 false _let_46 false _let_91 false _let_90 false _let_87 false _let_85 false _let_84 false _let_83 false _let_76 false _let_82 false _let_41 false _let_81 false _let_79 false _let_77 false _let_76 false _let_41 false _let_73 false _let_51 false _let_50 false _let_72)) :args (_let_128 true _let_127 true _let_126 true _let_125 true _let_124 true _let_121 true _let_118 false _let_115 false _let_111 false _let_110 false _let_109 false _let_106 false _let_105 false _let_103 false _let_102 false _let_99 false _let_77 false _let_49 false _let_48 false _let_47 false _let_46 false _let_91 false _let_90 false _let_87 false _let_96 false _let_85 false _let_84 false _let_95 false _let_83 false _let_76 false _let_82 false _let_41 false _let_81 false _let_114 false _let_49 false _let_48 false _let_47 false _let_46 false _let_83 false _let_81 false _let_112 false _let_111 false _let_110 false _let_109 false _let_106 false _let_105 false _let_103 false _let_102 false _let_99 false _let_77 false _let_49 false _let_48 false _let_47 false _let_46 false _let_91 false _let_90 false _let_87 false _let_96 false _let_85 false _let_84 false _let_95 false _let_83 false _let_76 false _let_82 false _let_41 false _let_81 false _let_92 false _let_77 false _let_49 false _let_48 false _let_47 false _let_46 false _let_91 false _let_90 false _let_87 false _let_85 false _let_84 false _let_83 false _let_76 false _let_82 false _let_41 false _let_81 false _let_79 false _let_77 false _let_76 false _let_41 false _let_73 false _let_51 false _let_50 false _let_72 true _let_71 false _let_70)))) (let ((_let_534 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_36)) (MACRO_SR_EQ_INTRO :args (_let_36 SB_DEFAULT SBA_FIXPOINT))) _let_533 :args (_let_50 true _let_69)))) (let ((_let_535 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_35)) (MACRO_SR_EQ_INTRO :args (_let_35 SB_DEFAULT SBA_FIXPOINT))) _let_533 :args (_let_51 true _let_69)))) (let ((_let_536 (= (tptp.multiply _let_9 tptp.sk_c5) (tptp.multiply tptp.sk_c3 _let_2)))) (let ((_let_537 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (let ((_let_538 (= (tptp.multiply _let_2 tptp.sk_c6) (tptp.multiply tptp.sk_c4 _let_12)))) (let ((_let_539 (= (tptp.multiply _let_45 _let_93) (tptp.multiply _let_6 (tptp.multiply tptp.sk_c3 _let_93))))) (let ((_let_540 (= (tptp.multiply _let_9 tptp.sk_c7) (tptp.multiply tptp.sk_c3 _let_113)))) (let ((_let_541 (not _let_52))) (let ((_let_542 (= tptp.sk_c5 _let_12))) (let ((_let_543 (not _let_327))) (let ((_let_544 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_37)) (MACRO_SR_EQ_INTRO :args (_let_37 SB_DEFAULT SBA_FIXPOINT))) _let_533 :args (_let_72 true _let_69)))) (let ((_let_545 (not _let_542))) (let ((_let_546 (and _let_72 _let_542))) (let ((_let_547 (_let_72 _let_542))) (let ((_let_548 (ASSUME :args (_let_542)))) (let ((_let_549 (SYMM (SYMM _let_548)))) (let ((_let_550 (SYMM _let_212))) (let ((_let_551 (ASSUME :args (_let_545)))) (let ((_let_552 (and _let_72 _let_50 _let_51 _let_73 _let_76 _let_351 _let_52 _let_83 _let_540 _let_84 _let_85 _let_87 _let_90 _let_91 _let_46 _let_539 _let_47 _let_48 _let_538 _let_49 _let_537 _let_536))) (let ((_let_553 (ASSUME :args (_let_537)))) (let ((_let_554 (ASSUME :args (_let_52)))) (let ((_let_555 (ASSUME :args (_let_536)))) (let ((_let_556 (ASSUME :args (_let_538)))) (let ((_let_557 (ASSUME :args (_let_540)))) (let ((_let_558 (CONG _let_203 (TRANS (CONG _let_195 (TRANS (CONG _let_303 (CONG _let_142 :args _let_145) :args _let_136) _let_277) :args _let_136) _let_197 _let_276 _let_201) :args _let_136))) (let ((_let_559 (ASSUME :args (_let_539)))) (let ((_let_560 (TRANS (SYMM _let_559) (CONG (TRANS _let_229 _let_383) (REFL :args (_let_93)) :args _let_136) (CONG _let_509 (TRANS (CONG _let_195 _let_142 :args _let_136) _let_155 _let_188 (SYMM _let_558) _let_192 _let_190 _let_186) :args _let_136) _let_283 _let_558 _let_189))) (let ((_let_561 (not _let_54))) (let ((_let_562 (_let_561))) (let ((_let_563 (ASSUME :args (_let_54)))) (let ((_let_564 (ASSUME :args (_let_541)))) (let ((_let_565 (ASSUME :args (_let_44)))) (let ((_let_566 (SYMM _let_565))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_563 (MODUS_PONENS (AND_INTRO _let_565 _let_214 _let_232 _let_228 _let_224 _let_220 _let_217 _let_564 _let_158) (SCOPE (FALSE_ELIM (MACRO_SR_PRED_TRANSFORM (TRANS (CONG (TRANS (CONG (REFL :args (_let_42)) _let_334 :args _let_136) _let_566) (TRANS (CONG _let_566 _let_139 :args _let_136) _let_159) :args (=)) (FALSE_INTRO _let_564)) :args ((= _let_54 false)))) :args (_let_44 _let_50 _let_47 _let_46 _let_49 _let_51 _let_48 _let_541 _let_41)))) :args (_let_50 _let_51 _let_41 _let_44 _let_541 _let_46 _let_47 _let_48 _let_49 _let_54)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args _let_562))) (TRUE_INTRO (SYMM (SYMM _let_563))))) :args (_let_54 _let_561)) :args ((not (and _let_50 _let_51 _let_41 _let_44 _let_541 _let_46 _let_47 _let_48 _let_49 _let_54)) SB_LITERAL))) (CONG _let_325 _let_324 _let_323 (REFL :args ((not _let_44))) (MACRO_SR_PRED_INTRO :args ((= (not _let_541) _let_52))) _let_321 _let_320 _let_319 _let_318 (REFL :args _let_562) :args _let_317)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (_let_42 tptp.sk_c6 tptp.sk_c6 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_65)) _let_66 :args (_let_54 false _let_38)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_552)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_553 _let_554 _let_214 _let_555 _let_242 _let_232 _let_228 _let_224 _let_220 _let_217 _let_556 _let_140 _let_557 _let_188 _let_200 _let_154 _let_196 _let_191 _let_383 _let_185 _let_559 _let_211) (SCOPE (TRANS _let_550 (CONG (SYMM _let_560) _let_303 :args _let_136) (CONG (TRANS _let_560 _let_554) _let_303 :args _let_136) (CONG _let_214 _let_303 :args _let_136) (SYMM (SYMM _let_557)) (CONG _let_235 (TRANS (CONG _let_227 _let_142 :args _let_136) (SYMM _let_556) (CONG _let_243 _let_139 :args _let_136) _let_333 _let_219 _let_332 _let_215) :args _let_136) (CONG _let_235 _let_244 :args _let_136) (SYMM _let_555) (CONG (TRANS _let_215 (SYMM _let_554)) (REFL :args (tptp.sk_c5)) :args _let_136) (SYMM _let_553)) :args (_let_537 _let_52 _let_50 _let_536 _let_73 _let_47 _let_46 _let_49 _let_51 _let_48 _let_538 _let_72 _let_540 _let_90 _let_84 _let_76 _let_85 _let_91 _let_351 _let_87 _let_539 _let_83))) :args (_let_72 _let_50 _let_51 _let_73 _let_76 _let_351 _let_52 _let_83 _let_540 _let_84 _let_85 _let_87 _let_90 _let_91 _let_46 _let_539 _let_47 _let_48 _let_538 _let_49 _let_537 _let_536))) :args (true _let_552)) :args ((or _let_134 _let_183 _let_182 _let_123 _let_327 _let_132 _let_431 _let_179 _let_541 (not _let_540) _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 (not _let_539) _let_172 _let_171 (not _let_538) _let_170 (not _let_537) (not _let_536)))) _let_544 _let_534 _let_535 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_34)) (MACRO_SR_EQ_INTRO :args (_let_34 SB_DEFAULT SBA_FIXPOINT))) _let_533 :args (_let_73 true _let_69)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_211 _let_329 _let_140 _let_551) :args (_let_72 _let_327 _let_545 _let_83)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_551)) (TRUE_INTRO (TRANS _let_330 _let_550 (SYMM (TRANS _let_141 _let_550)))))) :args (_let_83 _let_327 _let_72 _let_545)) :args ((not (and _let_72 _let_327 _let_545 _let_83)) SB_LITERAL))) (CONG _let_326 (REFL :args (_let_543)) (MACRO_SR_PRED_INTRO :args ((= (not _let_545) _let_542))) _let_322 :args _let_317)) :args ((or _let_134 _let_542 _let_179 _let_543))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_546)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_140 _let_548) (SCOPE (TRANS _let_549 (CONG (TRANS _let_549 _let_141) _let_139 :args _let_136)) :args _let_547)) :args _let_547)) :args (true _let_546)) :args ((or _let_69 _let_134 _let_545))) _let_544 _let_533 :args (_let_545 false _let_72 true _let_69)) _let_544 _let_164 :args (_let_543 true _let_542 false _let_72 false _let_83)) _let_129 _let_375 _let_164 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (tptp.sk_c3 tptp.sk_c4 tptp.sk_c7 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_65)) _let_66 :args (_let_540 false _let_38)) _let_165 _let_166 _let_167 _let_168 _let_169 _let_63 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (_let_6 tptp.sk_c3 _let_93 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_65)) _let_66 :args (_let_539 false _let_38)) _let_64 _let_67 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (tptp.sk_c4 tptp.sk_c5 tptp.sk_c6 QUANTIFIERS_INST_CBQI_PROP)) :args _let_65)) _let_66 :args (_let_538 false _let_38)) _let_68 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (tptp.sk_c5 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_57)) _let_56 :args (_let_537 false _let_55)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (tptp.sk_c3 tptp.sk_c4 tptp.sk_c5 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_65)) _let_66 :args (_let_536 false _let_38)) :args (_let_541 false _let_72 false _let_50 false _let_51 false _let_73 true _let_327 false _let_76 false _let_351 false _let_83 false _let_540 false _let_84 false _let_85 false _let_87 false _let_90 false _let_91 false _let_46 false _let_539 false _let_47 false _let_48 false _let_538 false _let_49 false _let_537 false _let_536)) _let_535 _let_534 _let_68 _let_67 _let_64 _let_63 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args _let_58) :args _let_62)) _let_61 :args (_let_44 false _let_60)) _let_59 :args (false false _let_54 true _let_52 false _let_51 false _let_50 false _let_49 false _let_48 false _let_47 false _let_46 false _let_44 false _let_41)) :args (_let_40 _let_39 _let_38 _let_37 _let_36 _let_35 _let_34 _let_31 _let_30 _let_29 _let_28 _let_25 _let_24 _let_23 _let_22 _let_19 _let_18 _let_17 (or _let_16 _let_3) _let_14 _let_11 _let_8 (or _let_5 _let_3) _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 22.65/22.84  )
% 22.65/22.84  % SZS output end Proof for GRP292-1
% 22.65/22.84  % cvc5---1.0.5 exiting
% 22.65/22.85  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------