%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP026-1 : TPTP v8.1.2. Bugfixed v2.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n003.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 00:24:03 EDT 2023

% Result   : Unsatisfiable 0.20s 0.59s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : GRP026-1 : TPTP v8.1.2. Bugfixed v2.0.0.
% 0.11/0.13  % Command    : do_cvc5 %s %d
% 0.14/0.34  % Computer : n003.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Mon Aug 28 22:27:40 EDT 2023
% 0.14/0.34  % CPUTime    : 
% 0.20/0.47  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.48  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.dzpyUkXJpG/cvc5---1.0.5_9282.p...
% 0.20/0.48  ------- get file name : TPTP file name is GRP026-1
% 0.20/0.49  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_9282.smt2...
% 0.20/0.49  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.59  % SZS status Unsatisfiable for GRP026-1
% 0.20/0.59  % SZS output start Proof for GRP026-1
% 0.20/0.61  (
% 0.20/0.61  (let ((_let_1 (tptp.an_isomorphism tptp.d3))) (let ((_let_2 (tptp.an_isomorphism tptp.d1))) (let ((_let_3 (tptp.product tptp.g2 _let_2 (tptp.an_isomorphism tptp.d2) _let_1))) (let ((_let_4 (not _let_3))) (let ((_let_5 (tptp.product tptp.g1 tptp.d1 tptp.d2 tptp.d3))) (let ((_let_6 (tptp.group_member tptp.d3 tptp.g1))) (let ((_let_7 (tptp.group_member tptp.d2 tptp.g1))) (let ((_let_8 (tptp.group_member tptp.d1 tptp.g1))) (let ((_let_9 (tptp.an_isomorphism tptp.c))) (let ((_let_10 (= _let_9 tptp.h))) (let ((_let_11 (tptp.an_isomorphism tptp.b))) (let ((_let_12 (= _let_11 tptp.g))) (let ((_let_13 (tptp.an_isomorphism tptp.a))) (let ((_let_14 (= _let_13 tptp.f))) (let ((_let_15 (tptp.product tptp.g2 tptp.h tptp.h tptp.g))) (let ((_let_16 (tptp.product tptp.g2 tptp.h tptp.g tptp.f))) (let ((_let_17 (tptp.product tptp.g2 tptp.g tptp.h tptp.f))) (let ((_let_18 (tptp.product tptp.g2 tptp.g tptp.g tptp.h))) (let ((_let_19 (tptp.product tptp.g2 tptp.h tptp.f tptp.h))) (let ((_let_20 (tptp.product tptp.g2 tptp.f tptp.h tptp.h))) (let ((_let_21 (tptp.product tptp.g2 tptp.g tptp.f tptp.g))) (let ((_let_22 (tptp.product tptp.g2 tptp.f tptp.g tptp.g))) (let ((_let_23 (tptp.product tptp.g2 tptp.f tptp.f tptp.f))) (let ((_let_24 (tptp.product tptp.g1 tptp.c tptp.c tptp.b))) (let ((_let_25 (tptp.product tptp.g1 tptp.c tptp.b tptp.a))) (let ((_let_26 (tptp.product tptp.g1 tptp.b tptp.c tptp.a))) (let ((_let_27 (tptp.product tptp.g1 tptp.b tptp.b tptp.c))) (let ((_let_28 (tptp.product tptp.g1 tptp.c tptp.a tptp.c))) (let ((_let_29 (tptp.product tptp.g1 tptp.a tptp.c tptp.c))) (let ((_let_30 (tptp.product tptp.g1 tptp.b tptp.a tptp.b))) (let ((_let_31 (tptp.product tptp.g1 tptp.a tptp.b tptp.b))) (let ((_let_32 (tptp.product tptp.g1 tptp.a tptp.a tptp.a))) (let ((_let_33 (forall ((X $$unsorted)) (or (not (tptp.group_member X tptp.g1)) (= X tptp.a) (= X tptp.b) (= X tptp.c))))) (let ((_let_34 (forall ((Xg $$unsorted) (X $$unsorted) (Y $$unsorted) (Xy $$unsorted) (Z $$unsorted) (Yz $$unsorted) (Xyz $$unsorted)) (or (not (tptp.product Xg X Y Xy)) (not (tptp.product Xg Y Z Yz)) (not (tptp.product Xg X Yz Xyz)) (tptp.product Xg Xy Z Xyz))))) (let ((_let_35 (forall ((Xg $$unsorted) (X $$unsorted) (Y $$unsorted) (Xy $$unsorted) (Z $$unsorted) (Yz $$unsorted) (Xyz $$unsorted)) (or (not (tptp.product Xg X Y Xy)) (not (tptp.product Xg Y Z Yz)) (not (tptp.product Xg Xy Z Xyz)) (tptp.product Xg X Yz Xyz))))) (let ((_let_36 (forall ((Xg $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted) (W $$unsorted)) (or (not (tptp.product Xg X Y Z)) (not (tptp.product Xg X Y W)) (= W Z))))) (let ((_let_37 (= tptp.f _let_13))) (let ((_let_38 (= tptp.g _let_11))) (let ((_let_39 (= tptp.h _let_9))) (let ((_let_40 (= tptp.a tptp.d3))) (let ((_let_41 (= tptp.c tptp.d2))) (let ((_let_42 (= tptp.b tptp.d1))) (let ((_let_43 (ASSUME :args (_let_17)))) (let ((_let_44 (SYMM (ASSUME :args (_let_14))))) (let ((_let_45 (SYMM (ASSUME :args (_let_12))))) (let ((_let_46 (SYMM (ASSUME :args (_let_10))))) (let ((_let_47 (ASSUME :args (_let_4)))) (let ((_let_48 (tptp.product tptp.g1 tptp.b tptp.c tptp.d3))) (let ((_let_49 (not _let_48))) (let ((_let_50 (not _let_26))) (let ((_let_51 (or _let_50 _let_49 _let_40))) (let ((_let_52 (tptp.product tptp.g1 tptp.d1 tptp.d2 tptp.a))) (let ((_let_53 (not _let_52))) (let ((_let_54 (not _let_5))) (let ((_let_55 (or _let_54 _let_53 _let_40))) (let ((_let_56 (tptp.product tptp.g1 tptp.c tptp.b tptp.d3))) (let ((_let_57 (not _let_56))) (let ((_let_58 (not _let_24))) (let ((_let_59 (or _let_58 _let_58 _let_57 _let_48))) (let ((_let_60 (= tptp.b tptp.d3))) (let ((_let_61 (= tptp.a tptp.d2))) (let ((_let_62 (= tptp.b tptp.d2))) (let ((_let_63 (not _let_7))) (let ((_let_64 (or _let_63 _let_61 _let_62 _let_41))) (let ((_let_65 (= tptp.c tptp.d3))) (let ((_let_66 (tptp.product tptp.g1 tptp.d1 tptp.d2 tptp.c))) (let ((_let_67 (not _let_66))) (let ((_let_68 (or _let_54 _let_67 _let_65))) (let ((_let_69 (ASSUME :args (_let_26)))) (let ((_let_70 (forall ((Xg $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted) (W $$unsorted)) (or (not (tptp.product Xg X Y Z)) (not (tptp.product Xg X Y W)) (= Z W))))) (let ((_let_71 (EQ_RESOLVE (ASSUME :args (_let_36)) (MACRO_SR_EQ_INTRO :args (_let_36 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_72 (_let_70))) (let ((_let_73 ((not (= (tptp.product Xg X Y Z) false)) (not (= (tptp.product Xg X Y W) false))))) (let ((_let_74 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args (tptp.g1 tptp.b tptp.c tptp.a tptp.d3 QUANTIFIERS_INST_E_MATCHING _let_73)) :args _let_72)))) (let ((_let_75 (REORDERING (CNF_OR_POS :args (_let_51)) :args ((or _let_50 _let_40 _let_49 (not _let_51)))))) (let ((_let_76 (ASSUME :args (_let_5)))) (let ((_let_77 (ASSUME :args (_let_24)))) (let ((_let_78 (_let_34))) (let ((_let_79 (ASSUME :args _let_78))) (let ((_let_80 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_79 :args (tptp.g1 tptp.c tptp.c tptp.b tptp.c tptp.b tptp.d3 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.product Xg Y Z Yz) false)) (not (= (tptp.product Xg X Y Xy) false)) (not (= (tptp.product Xg Xy Z Xyz) true))))) :args _let_78)))) (let ((_let_81 (REORDERING (FACTORING (CNF_OR_POS :args (_let_59))) :args ((or _let_58 _let_48 _let_57 (not _let_59)))))) (let ((_let_82 (not _let_6))) (let ((_let_83 (or _let_82 _let_40 _let_60 _let_65))) (let ((_let_84 (tptp.product tptp.g1 tptp.d1 tptp.d2 tptp.b))) (let ((_let_85 (not _let_84))) (let ((_let_86 (or _let_54 _let_85 _let_60))) (let ((_let_87 (= tptp.a tptp.d1))) (let ((_let_88 (= tptp.c tptp.d1))) (let ((_let_89 (not _let_8))) (let ((_let_90 (or _let_89 _let_87 _let_42 _let_88))) (let ((_let_91 (not _let_41))) (let ((_let_92 (tptp.product tptp.g1 tptp.d2 tptp.b tptp.a))) (let ((_let_93 (= tptp.a tptp.c))) (let ((_let_94 (tptp.product tptp.g1 tptp.a tptp.a tptp.c))) (let ((_let_95 (not _let_94))) (let ((_let_96 (not _let_32))) (let ((_let_97 (or _let_96 _let_95 _let_93))) (let ((_let_98 (tptp.product tptp.g1 tptp.d3 tptp.b tptp.c))) (let ((_let_99 (tptp.product tptp.g1 tptp.d1 tptp.a tptp.c))) (let ((_let_100 (not _let_98))) (let ((_let_101 (not _let_92))) (let ((_let_102 (or _let_54 _let_101 _let_100 _let_99))) (let ((_let_103 (not _let_60))) (let ((_let_104 (ASSUME :args (_let_25)))) (let ((_let_105 (and _let_25 _let_41))) (let ((_let_106 (_let_25 _let_41))) (let ((_let_107 (APPLY_UF tptp.product))) (let ((_let_108 (REFL :args (tptp.a)))) (let ((_let_109 (REFL :args (tptp.b)))) (let ((_let_110 (ASSUME :args (_let_41)))) (let ((_let_111 (SYMM _let_110))) (let ((_let_112 (REFL :args (tptp.g1)))) (let ((_let_113 (ASSUME :args (_let_15)))) (let ((_let_114 (not _let_88))) (let ((_let_115 (not _let_39))) (let ((_let_116 (not _let_38))) (let ((_let_117 (not _let_15))) (let ((_let_118 (or))) (let ((_let_119 (REFL :args (_let_103)))) (let ((_let_120 (REFL :args (_let_91)))) (let ((_let_121 (_let_114))) (let ((_let_122 (REFL :args _let_121))) (let ((_let_123 (REFL :args (_let_115)))) (let ((_let_124 (REFL :args (_let_116)))) (let ((_let_125 (MACRO_SR_PRED_INTRO :args ((= (not _let_4) _let_3))))) (let ((_let_126 (FALSE_INTRO _let_47))) (let ((_let_127 (APPLY_UF tptp.an_isomorphism))) (let ((_let_128 (ASSUME :args (_let_60)))) (let ((_let_129 (SYMM _let_128))) (let ((_let_130 (SYMM _let_129))) (let ((_let_131 (SYMM _let_45))) (let ((_let_132 (SYMM _let_131))) (let ((_let_133 (TRANS _let_132 (CONG _let_130 :args _let_127)))) (let ((_let_134 (SYMM _let_46))) (let ((_let_135 (SYMM _let_134))) (let ((_let_136 (TRANS _let_135 (CONG (SYMM _let_111) :args _let_127)))) (let ((_let_137 (ASSUME :args (_let_88)))) (let ((_let_138 (SYMM _let_137))) (let ((_let_139 (TRANS _let_135 (CONG (SYMM _let_138) :args _let_127)))) (let ((_let_140 (REFL :args (tptp.g2)))) (let ((_let_141 (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_47 _let_137 _let_46 _let_110 _let_128 _let_45 _let_113) :args (_let_15 _let_4 _let_38 _let_39 _let_88 _let_41 _let_60)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_113)) (CONG _let_140 _let_139 _let_136 _let_133 :args _let_107) _let_126)) :args (_let_4 _let_88 _let_39 _let_41 _let_60 _let_38 _let_15)) :args ((not (and _let_15 _let_4 _let_38 _let_39 _let_88 _let_41 _let_60)) SB_LITERAL))) (CONG (REFL :args (_let_117)) _let_125 _let_124 _let_123 _let_122 _let_120 _let_119 :args _let_118)) :args ((or _let_3 _let_117 _let_116 _let_115 _let_114 _let_91 _let_103))))) (let ((_let_142 (MACRO_SR_PRED_INTRO :args ((= (not _let_49) _let_48))))) (let ((_let_143 (not _let_42))) (let ((_let_144 (REFL :args (_let_143)))) (let ((_let_145 (REFL :args (_let_54)))) (let ((_let_146 (ASSUME :args (_let_49)))) (let ((_let_147 (FALSE_INTRO _let_146))) (let ((_let_148 (REFL :args (tptp.d2)))) (let ((_let_149 (ASSUME :args (_let_42)))) (let ((_let_150 (SYMM _let_149))) (let ((_let_151 (REFL :args (tptp.d1)))) (let ((_let_152 (CONG _let_112 _let_151 _let_148 _let_129 :args _let_107))) (let ((_let_153 (TRUE_INTRO _let_76))) (let ((_let_154 (SYMM _let_153))) (let ((_let_155 (ASSUME :args (_let_8)))) (let ((_let_156 (forall ((X $$unsorted)) (or (not (tptp.group_member X tptp.g1)) (= tptp.a X) (= tptp.b X) (= tptp.c X))))) (let ((_let_157 (EQ_RESOLVE (ASSUME :args (_let_33)) (MACRO_SR_EQ_INTRO :args (_let_33 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_158 (_let_156))) (let ((_let_159 ((not (= (tptp.group_member X tptp.g1) false))))) (let ((_let_160 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_157 :args (tptp.d1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_159)) :args _let_158)) _let_157 :args (_let_90 false _let_156)))) (let ((_let_161 (REORDERING (CNF_OR_POS :args (_let_90)) :args ((or _let_89 _let_87 _let_42 _let_88 (not _let_90)))))) (let ((_let_162 (not _let_93))) (let ((_let_163 (not _let_87))) (let ((_let_164 (REFL :args (_let_162)))) (let ((_let_165 (_let_163))) (let ((_let_166 (REFL :args _let_165))) (let ((_let_167 (ASSUME :args (_let_87)))) (let ((_let_168 (SYMM _let_167))) (let ((_let_169 (SYMM _let_168))) (let ((_let_170 (ASSUME :args (_let_93)))) (let ((_let_171 (ASSUME :args _let_121))) (let ((_let_172 (ASSUME :args (_let_32)))) (let ((_let_173 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args (tptp.g1 tptp.a tptp.a tptp.a tptp.c QUANTIFIERS_INST_E_MATCHING _let_73)) :args _let_72)) _let_71 :args (_let_97 false _let_70)))) (let ((_let_174 (REORDERING (CNF_OR_POS :args (_let_97)) :args ((or _let_96 _let_93 _let_95 (not _let_97)))))) (let ((_let_175 (ASSUME :args (_let_27)))) (let ((_let_176 (and _let_27 _let_60))) (let ((_let_177 (_let_27 _let_60))) (let ((_let_178 (TRUE_INTRO _let_175))) (let ((_let_179 (REFL :args (tptp.c)))) (let ((_let_180 (MACRO_SR_PRED_INTRO :args ((= (not _let_95) _let_94))))) (let ((_let_181 (and _let_87 _let_95))) (let ((_let_182 (ASSUME :args (_let_95)))) (let ((_let_183 (FALSE_INTRO _let_182))) (let ((_let_184 (_let_35))) (let ((_let_185 (ASSUME :args _let_184))) (let ((_let_186 (ASSUME :args (_let_6)))) (let ((_let_187 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_157 :args (tptp.d3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_159)) :args _let_158)) _let_157 :args (_let_83 false _let_156)))) (let ((_let_188 (REORDERING (CNF_OR_POS :args (_let_83)) :args ((or _let_82 _let_40 _let_60 _let_65 (not _let_83)))))) (let ((_let_189 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_71 :args (tptp.g1 tptp.d1 tptp.d2 tptp.d3 tptp.b QUANTIFIERS_INST_E_MATCHING _let_73)) :args _let_72))) _let_71 :args (_let_86 false _let_70)))) (let ((_let_190 (REORDERING (CNF_OR_POS :args (_let_86)) :args ((or _let_54 _let_60 _let_85 (not _let_86)))))) (let ((_let_191 (ASSUME :args (_let_20)))) (let ((_let_192 (not _let_65))) (let ((_let_193 (not _let_37))) (let ((_let_194 (not _let_20))) (let ((_let_195 (REFL :args (_let_192)))) (let ((_let_196 (REFL :args (_let_193)))) (let ((_let_197 (REFL :args (_let_1)))) (let ((_let_198 (REFL :args (tptp.h)))) (let ((_let_199 (SYMM _let_44))) (let ((_let_200 (SYMM _let_199))) (let ((_let_201 (TRANS _let_200 (CONG _let_169 :args _let_127)))) (let ((_let_202 (ASSUME :args (_let_65)))) (let ((_let_203 (SYMM _let_202))) (let ((_let_204 (SYMM _let_203))) (let ((_let_205 (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_47 _let_110 _let_46 _let_167 _let_44 _let_202 _let_191) :args (_let_20 _let_4 _let_37 _let_39 _let_87 _let_41 _let_65)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_191)) (CONG _let_140 (REFL :args (tptp.f)) _let_198 (TRANS _let_135 (CONG _let_204 :args _let_127)) :args _let_107) (CONG _let_140 _let_201 _let_198 _let_197 :args _let_107) (CONG _let_140 (REFL :args (_let_2)) _let_136 _let_197 :args _let_107) _let_126)) :args (_let_4 _let_41 _let_39 _let_87 _let_37 _let_65 _let_20)) :args ((not (and _let_20 _let_4 _let_37 _let_39 _let_87 _let_41 _let_65)) SB_LITERAL))) (CONG (REFL :args (_let_194)) _let_125 _let_196 _let_123 _let_166 _let_120 _let_195 :args _let_118)) :args ((or _let_3 _let_194 _let_193 _let_115 _let_163 _let_91 _let_192))))) (let ((_let_206 (CONG _let_112 _let_151 _let_148 _let_203 :args _let_107))) (let ((_let_207 (MACRO_SR_PRED_INTRO :args ((= (not _let_85) _let_84))))) (let ((_let_208 (SYMM (FALSE_INTRO (ASSUME :args (_let_85)))))) (let ((_let_209 (EQ_RESOLVE (NOT_AND (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_208 (CONG _let_112 _let_138 _let_111 _let_109 :args _let_107) (TRUE_INTRO _let_77))) :args (_let_24 _let_88 _let_41 _let_85))) (CONG (REFL :args (_let_58)) _let_122 _let_120 _let_207 :args _let_118)))) (let ((_let_210 (MACRO_RESOLUTION_TRUST _let_209 _let_77 _let_161 _let_160 _let_155 (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_146 _let_149 _let_110 _let_202 _let_76) :args (_let_5 _let_42 _let_41 _let_65 _let_49)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_154 _let_206 (CONG _let_112 _let_150 _let_111 _let_204 :args _let_107) _let_147)) :args (_let_49 _let_42 _let_41 _let_65 _let_5)) :args ((not (and _let_5 _let_42 _let_41 _let_65 _let_49)) SB_LITERAL))) (CONG _let_145 _let_144 _let_120 _let_195 _let_142 :args _let_118)) _let_76 _let_205 _let_47 _let_46 _let_44 _let_191 _let_190 _let_189 _let_76 _let_188 _let_187 _let_186 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_102)) :args ((or _let_54 _let_101 _let_100 _let_99 (not _let_102)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_185 :args (tptp.g1 tptp.d1 tptp.d2 tptp.d3 tptp.b tptp.a tptp.c QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.product Xg X Y Xy) false)) (not (= (tptp.product Xg Y Z Yz) false)) (not (= (tptp.product Xg Xy Z Xyz) false))))) :args _let_184)) _let_185 :args (_let_102 false _let_35)) _let_76 (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_181)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_182 _let_167) (SCOPE (FALSE_ELIM (TRANS (CONG _let_112 _let_168 _let_108 _let_179 :args _let_107) _let_183)) :args (_let_95 _let_87))) :args (_let_87 _let_95))) :args (true _let_181)) (CONG _let_166 _let_180 (REFL :args 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_let_236) _let_62))) _let_224 :args _let_118)) :args ((or _let_62 _let_222 _let_216 _let_103))) _let_234 _let_233 _let_232 :args ((or _let_62 _let_41 _let_216 _let_103) false _let_61 false _let_64 false _let_7)))) (let ((_let_277 (and _let_30 _let_42 _let_61))) (let ((_let_278 (_let_30 _let_42 _let_61))) (let ((_let_279 (ASSUME :args (_let_23)))) (let ((_let_280 (not _let_23))) (let ((_let_281 (TRANS _let_200 (CONG _let_275 :args _let_127)))) (let ((_let_282 (ASSUME :args (_let_16)))) (let ((_let_283 (not _let_16))) (let ((_let_284 (REFL :args (_let_283)))) (let ((_let_285 (TRUE_INTRO _let_282))) (let ((_let_286 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_47 _let_137 _let_46 _let_241 _let_45 _let_273 _let_44 _let_282) :args (_let_16 _let_4 _let_37 _let_38 _let_39 _let_88 _let_62 _let_40)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM _let_285) (CONG _let_140 _let_139 _let_255 _let_281 :args _let_107) _let_126)) :args (_let_4 _let_88 _let_39 _let_62 _let_38 _let_40 _let_37 _let_16)) :args ((not (and _let_16 _let_4 _let_37 _let_38 _let_39 _let_88 _let_62 _let_40)) SB_LITERAL))) (CONG _let_284 _let_125 _let_196 _let_124 _let_123 _let_122 _let_238 _let_270 :args _let_118)) :args ((or _let_3 _let_283 _let_193 _let_116 _let_115 _let_114 _let_236 _let_216))) _let_269 _let_47 _let_46 _let_45 _let_44 _let_282 _let_161 _let_160 _let_155 (MACRO_RESOLUTION_TRUST _let_190 _let_189 _let_76 _let_256 _let_47 _let_45 _let_44 _let_253 _let_252 _let_251 :args ((or _let_163 _let_236) false _let_86 false _let_5 true _let_60 true _let_3 false _let_38 false _let_37 false _let_22 false _let_84 false _let_31)) _let_234 _let_233 _let_232 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_47 _let_226 _let_44 _let_167 _let_273 _let_279) :args (_let_23 _let_4 _let_37 _let_87 _let_61 _let_40)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_279)) (CONG _let_140 _let_201 (TRANS _let_200 (CONG _let_248 :args _let_127)) _let_281 :args _let_107) _let_126)) :args (_let_4 _let_61 _let_37 _let_87 _let_40 _let_23)) :args ((not (and _let_23 _let_4 _let_37 _let_87 _let_61 _let_40)) SB_LITERAL))) (CONG (REFL :args (_let_280)) _let_125 _let_196 _let_166 _let_224 _let_270 :args _let_118)) :args ((or _let_3 _let_280 _let_193 _let_163 _let_222 _let_216))) _let_269 _let_47 _let_44 _let_279 _let_161 _let_160 _let_155 _let_262 :args ((or _let_42 _let_222) false _let_40 true _let_3 false _let_37 false _let_23 false _let_87 false _let_90 false _let_8 true _let_88)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_277)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_215 _let_149 _let_226) (SCOPE (TRUE_ELIM (TRANS (CONG _let_112 _let_150 _let_227 _let_109 :args _let_107) (TRUE_INTRO _let_215))) :args _let_278)) :args _let_278)) :args (true _let_277)) _let_215 _let_190 _let_189 _let_76 _let_276 _let_269 _let_234 _let_233 _let_232 (MACRO_RESOLUTION_TRUST _let_258 _let_257 _let_76 _let_268 _let_175 _let_247 _let_47 _let_46 _let_45 _let_243 :args ((or _let_143 _let_236) false _let_68 false _let_5 false _let_66 false _let_27 true _let_65 true _let_3 false _let_39 false _let_38 false _let_18)) :args ((or _let_41 _let_143) false _let_30 true _let_84 false _let_86 false _let_5 true _let_60 false _let_40 false _let_61 false _let_64 false _let_7 true _let_62)) :args (_let_41 false _let_40 true _let_3 false _let_39 false _let_38 false _let_37 false _let_16 false _let_88 false _let_90 false _let_8 true _let_87 false _let_62 false _let_64 false _let_7 true _let_61 true _let_42)))) (let ((_let_287 (ASSUME :args (_let_29)))) (let ((_let_288 (and _let_29 _let_87 _let_41))) (let ((_let_289 (_let_29 _let_87 _let_41))) (let ((_let_290 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_288)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_287 _let_167 _let_110) (SCOPE (TRUE_ELIM (TRANS (CONG _let_112 _let_168 _let_111 _let_179 :args _let_107) (TRUE_INTRO _let_287))) :args _let_289)) :args _let_289)) :args (true _let_288)) _let_286 _let_287 _let_258 _let_257 _let_76 _let_205 _let_286 _let_47 _let_46 _let_44 _let_191 :args (_let_163 false _let_41 false _let_29 true _let_66 false _let_68 false _let_5 true _let_65 false _let_41 true _let_3 false _let_39 false _let_37 false _let_20)))) (let ((_let_291 (and _let_40 _let_60 _let_163))) (let ((_let_292 (ASSUME :args _let_165))) (let ((_let_293 (TRANS _let_130 _let_274))) (let ((_let_294 (not _let_17))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_47 _let_110 _let_46 _let_149 _let_45 _let_273 _let_44 _let_43) :args (_let_17 _let_4 _let_37 _let_38 _let_39 _let_42 _let_41 _let_40)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_43)) (CONG _let_140 (TRANS _let_132 (CONG _let_249 :args _let_127)) _let_136 _let_281 :args _let_107) _let_126)) :args (_let_4 _let_41 _let_39 _let_42 _let_38 _let_40 _let_37 _let_17)) :args ((not (and _let_17 _let_4 _let_37 _let_38 _let_39 _let_42 _let_41 _let_40)) SB_LITERAL))) (CONG (REFL :args (_let_294)) _let_125 _let_196 _let_124 _let_123 _let_144 _let_120 _let_270 :args _let_118)) :args ((or _let_3 _let_294 _let_193 _let_116 _let_115 _let_143 _let_91 _let_216))) (MACRO_RESOLUTION_TRUST _let_161 _let_155 _let_290 (MACRO_RESOLUTION_TRUST _let_209 _let_77 _let_286 (MACRO_RESOLUTION_TRUST _let_190 _let_76 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_141 _let_47 _let_46 _let_45 _let_113 _let_276 (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_282 _let_46 _let_137 _let_45 _let_241 _let_44 _let_273 _let_128 _let_47) :args (_let_16 _let_4 _let_37 _let_38 _let_39 _let_88 _let_62 _let_40 _let_60)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_230 (CONG _let_140 _let_229 _let_245 (TRANS _let_265 (CONG _let_293 :args _let_127) _let_199) :args _let_107) _let_285)) :args (_let_16 _let_39 _let_88 _let_38 _let_62 _let_37 _let_40 _let_60 _let_4)) :args ((not (and _let_16 _let_4 _let_37 _let_38 _let_39 _let_88 _let_62 _let_40 _let_60)) SB_LITERAL))) (CONG _let_284 _let_125 _let_196 _let_124 _let_123 _let_122 _let_238 _let_270 _let_119 :args _let_118)) :args ((or _let_3 _let_283 _let_193 _let_116 _let_115 _let_114 _let_236 _let_216 _let_103))) _let_47 _let_46 _let_45 _let_44 _let_282 _let_161 _let_160 _let_155 (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_291)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_292 _let_273 _let_128) (SCOPE (FALSE_ELIM (TRANS (CONG _let_293 _let_151 :args _let_220) (FALSE_INTRO _let_292))) :args (_let_163 _let_40 _let_60))) :args (_let_40 _let_60 _let_163))) :args (true _let_291)) (CONG _let_270 _let_119 (MACRO_SR_PRED_INTRO :args ((= (not _let_163) _let_87))) _let_144 :args _let_118)) :args ((or _let_87 _let_143 _let_216 _let_103))) :args ((or _let_87 _let_216 _let_103) true _let_3 false _let_39 false _let_38 false _let_15 false _let_41 true _let_62 true _let_3 false _let_39 false _let_38 false _let_37 false _let_16 false _let_88 false _let_90 false _let_8 true _let_42)) _let_290 _let_269 :args (_let_103 true _let_87 false _let_40)) _let_189 :args (_let_85 false _let_5 true _let_60 false _let_86)) :args (_let_114 false _let_24 false _let_41 true _let_84)) _let_160 :args (_let_42 false _let_8 true _let_87 true _let_88 false _let_90)) _let_286 _let_269 _let_47 _let_46 _let_45 _let_44 _let_43 :args (false false _let_42 false _let_41 false _let_40 true _let_3 false _let_39 false _let_38 false _let_37 false _let_17)) :args ((forall ((Xg $$unsorted)) (tptp.group_member (tptp.identity_for Xg) Xg)) (forall ((Xg $$unsorted) (X $$unsorted)) (tptp.product Xg (tptp.identity_for Xg) X X)) (forall ((Xg $$unsorted) (X $$unsorted)) (tptp.product Xg X (tptp.identity_for Xg) X)) (forall ((X $$unsorted) (Xg $$unsorted)) (or (not (tptp.group_member X Xg)) (tptp.group_member (tptp.inverse Xg X) Xg))) (forall ((Xg $$unsorted) (X $$unsorted)) (tptp.product Xg (tptp.inverse Xg X) X (tptp.identity_for Xg))) (forall ((Xg $$unsorted) (X $$unsorted)) (tptp.product Xg X (tptp.inverse Xg X) (tptp.identity_for Xg))) (forall ((X $$unsorted) (Xg $$unsorted) (Y $$unsorted)) (or (not (tptp.group_member X Xg)) (not (tptp.group_member Y Xg)) (tptp.product Xg X Y (tptp.multiply Xg X Y)))) (forall ((X $$unsorted) (Xg $$unsorted) (Y $$unsorted)) (or (not (tptp.group_member X Xg)) (not (tptp.group_member Y Xg)) (tptp.group_member (tptp.multiply Xg X Y) Xg))) _let_36 _let_35 _let_34 (tptp.group_member tptp.a tptp.g1) (tptp.group_member tptp.b tptp.g1) (tptp.group_member tptp.c tptp.g1) (tptp.group_member tptp.f tptp.g2) (tptp.group_member tptp.g tptp.g2) (tptp.group_member tptp.h tptp.g2) _let_33 (forall ((X $$unsorted)) (or (not (tptp.group_member X tptp.g2)) (= X tptp.f) (= X tptp.g) (= X tptp.h))) _let_32 _let_31 _let_30 _let_29 _let_28 _let_27 _let_26 _let_25 _let_24 _let_23 _let_22 _let_21 _let_20 _let_19 _let_18 _let_17 _let_16 _let_15 _let_14 _let_12 _let_10 _let_8 _let_7 _let_6 _let_5 _let_4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.61  )
% 0.20/0.61  % SZS output end Proof for GRP026-1
% 0.20/0.61  % cvc5---1.0.5 exiting
% 0.20/0.62  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------