TSTP Solution File: GRP267-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP267-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n022.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 00:25:24 EDT 2023

% Result   : Unsatisfiable 11.02s 11.23s
% Output   : Proof 11.02s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : GRP267-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.35  % Computer : n022.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Aug 29 00:46:24 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.22/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.50  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.nhF9t73Ju2/cvc5---1.0.5_2030.p...
% 0.22/0.51  ------- get file name : TPTP file name is GRP267-1
% 0.22/0.51  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_2030.smt2...
% 0.22/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.62/10.81  --- Run --no-e-matching --full-saturate-quant at 5...
% 11.02/11.23  % SZS status Unsatisfiable for GRP267-1
% 11.02/11.23  % SZS output start Proof for GRP267-1
% 11.02/11.24  (
% 11.02/11.24  (let ((_let_1 (forall ((X2 $$unsorted) (X3 $$unsorted) (X4 $$unsorted) (X5 $$unsorted) (X1 $$unsorted)) (or (not (= (tptp.multiply X2 tptp.sk_c8) tptp.sk_c7)) (not (= (tptp.inverse X2) tptp.sk_c8)) (not (= (tptp.multiply X3 tptp.sk_c6) tptp.sk_c7)) (not (= (tptp.inverse X3) tptp.sk_c6)) (not (= (tptp.multiply tptp.sk_c7 X4) tptp.sk_c6)) (not (= (tptp.multiply X5 tptp.sk_c7) X4)) (not (= (tptp.inverse X5) tptp.sk_c7)) (not (= (tptp.multiply X1 tptp.sk_c8) tptp.sk_c7)) (not (= (tptp.inverse X1) tptp.sk_c8)) (not (= (tptp.inverse tptp.sk_c6) tptp.sk_c7)))))) (let ((_let_2 (tptp.inverse tptp.sk_c6))) (let ((_let_3 (= _let_2 tptp.sk_c7))) (let ((_let_4 (tptp.inverse tptp.sk_c3))) (let ((_let_5 (= _let_4 tptp.sk_c7))) (let ((_let_6 (or _let_5 _let_3))) (let ((_let_7 (tptp.inverse tptp.sk_c5))) (let ((_let_8 (= _let_7 tptp.sk_c8))) (let ((_let_9 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (let ((_let_10 (= _let_9 tptp.sk_c7))) (let ((_let_11 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (let ((_let_12 (= _let_11 tptp.sk_c4))) (let ((_let_13 (or _let_12 _let_3))) (let ((_let_14 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (let ((_let_15 (= _let_14 tptp.sk_c6))) (let ((_let_16 (or _let_15 _let_3))) (let ((_let_17 (= (tptp.inverse tptp.sk_c2) tptp.sk_c6))) (let ((_let_18 (= (tptp.multiply tptp.sk_c2 tptp.sk_c6) tptp.sk_c7))) (let ((_let_19 (tptp.inverse tptp.sk_c1))) (let ((_let_20 (= _let_19 tptp.sk_c8))) (let ((_let_21 (or _let_20 _let_3))) (let ((_let_22 (or _let_20 _let_8))) (let ((_let_23 (or _let_20 _let_10))) (let ((_let_24 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (let ((_let_25 (= _let_24 tptp.sk_c7))) (let ((_let_26 (or _let_25 _let_3))) (let ((_let_27 (or _let_25 _let_8))) (let ((_let_28 (or _let_25 _let_10))) (let ((_let_29 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))) (let ((_let_30 (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity)))) (let ((_let_31 (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)))) (let ((_let_32 (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X1))))))) (let ((_let_33 (= tptp.sk_c7 _let_2))) (let ((_let_34 (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))))) (let ((_let_35 (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))))))) (let ((_let_36 (forall ((X5 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.multiply X5 tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.inverse X5))))))) (let ((_let_37 (= tptp.sk_c8 _let_7))) (let ((_let_38 (not _let_37))) (let ((_let_39 (= tptp.sk_c7 _let_9))) (let ((_let_40 (not _let_39))) (let ((_let_41 (or _let_40 _let_38))) (let ((_let_42 (not _let_41))) (let ((_let_43 (= tptp.sk_c7 _let_24))) (let ((_let_44 (= tptp.sk_c8 _let_19))) (let ((_let_45 (not _let_43))) (let ((_let_46 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (let ((_let_47 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) (let ((_let_48 (tptp.inverse tptp.sk_c8))) (let ((_let_49 (tptp.multiply _let_48 tptp.sk_c8))) (let ((_let_50 (= tptp.identity _let_49))) (let ((_let_51 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (let ((_let_52 (tptp.multiply _let_7 tptp.sk_c5))) (let ((_let_53 (= tptp.identity _let_52))) (let ((_let_54 (tptp.multiply tptp.identity tptp.sk_c6))) (let ((_let_55 (= tptp.sk_c6 _let_54))) (let ((_let_56 (tptp.multiply _let_2 tptp.sk_c6))) (let ((_let_57 (= tptp.identity _let_56))) (let ((_let_58 (= (tptp.multiply _let_49 tptp.sk_c7) (tptp.multiply _let_48 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) (let ((_let_59 (= (tptp.multiply _let_52 tptp.sk_c8) (tptp.multiply _let_7 _let_9)))) (let ((_let_60 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (let ((_let_61 (= (tptp.multiply _let_56 tptp.sk_c7) (tptp.multiply _let_2 _let_60)))) (let ((_let_62 (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 _let_60)))) (let ((_let_63 (= tptp.sk_c7 _let_54))) (let ((_let_64 (tptp.inverse tptp.identity))) (let ((_let_65 (tptp.multiply _let_64 tptp.identity))) (let ((_let_66 (= tptp.identity _let_65))) (let ((_let_67 (tptp.multiply tptp.identity _let_64))) (let ((_let_68 (= _let_64 _let_67))) (let ((_let_69 (tptp.inverse _let_64))) (let ((_let_70 (tptp.multiply _let_69 _let_64))) (let ((_let_71 (= tptp.identity _let_70))) (let ((_let_72 (tptp.multiply _let_64 _let_64))) (let ((_let_73 (= (tptp.multiply _let_67 _let_64) (tptp.multiply tptp.identity _let_72)))) (let ((_let_74 (= (tptp.multiply _let_65 _let_64) (tptp.multiply _let_64 _let_67)))) (let ((_let_75 (= (tptp.multiply _let_70 _let_64) (tptp.multiply _let_69 _let_72)))) (let ((_let_76 (= tptp.sk_c6 _let_64))) (let ((_let_77 (not _let_33))) (let ((_let_78 (not _let_62))) (let ((_let_79 (or _let_78 _let_77))) (let ((_let_80 (not _let_76))) (let ((_let_81 (not _let_63))) (let ((_let_82 (or _let_81 _let_80))) (let ((_let_83 (REORDERING (CNF_OR_POS :args (_let_41)) :args ((or _let_40 _let_38 _let_42))))) (let ((_let_84 (_let_34))) (let ((_let_85 (ASSUME :args _let_84))) (let ((_let_86 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (tptp.sk_c5 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_84)))) (let ((_let_87 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_34 (= X2 X1)))))) (let ((_let_88 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))) (let ((_let_89 (EQ_RESOLVE (ASSUME :args (_let_31)) (MACRO_SR_EQ_INTRO :args (_let_31 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_90 (_let_88))) (let ((_let_91 (tptp.identity QUANTIFIERS_INST_ENUM))) (let ((_let_92 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args _let_91) :args _let_90)) _let_89 :args (_let_46 false _let_88)))) (let ((_let_93 (tptp.sk_c8 QUANTIFIERS_INST_ENUM))) (let ((_let_94 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args _let_93) :args _let_90)) _let_89 :args (_let_47 false _let_88)))) (let ((_let_95 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))) (let ((_let_96 (EQ_RESOLVE (ASSUME :args (_let_30)) (MACRO_SR_EQ_INTRO :args (_let_30 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_97 (_let_95))) (let ((_let_98 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args _let_93) :args _let_97)) _let_96 :args (_let_50 false _let_95)))) (let ((_let_99 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args (tptp.sk_c7 QUANTIFIERS_INST_ENUM)) :args _let_90)) _let_89 :args (_let_51 false _let_88)))) (let ((_let_100 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (tptp.sk_c5 QUANTIFIERS_INST_ENUM)) :args _let_97)) _let_96 :args (_let_53 false _let_95)))) (let ((_let_101 (tptp.sk_c6 QUANTIFIERS_INST_ENUM))) (let ((_let_102 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args _let_101) :args _let_90)) _let_89 :args (_let_55 false _let_88)))) (let ((_let_103 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args _let_101) :args _let_97)) _let_96 :args (_let_57 false _let_95)))) (let ((_let_104 (_let_29))) (let ((_let_105 (ASSUME :args _let_104))) (let ((_let_106 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (_let_48 tptp.sk_c8 tptp.sk_c7 QUANTIFIERS_INST_CBQI_PROP)) :args _let_104)) _let_105 :args (_let_58 false _let_29)))) (let ((_let_107 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (_let_7 tptp.sk_c5 tptp.sk_c8 QUANTIFIERS_INST_CBQI_PROP)) :args _let_104)) _let_105 :args (_let_59 false _let_29)))) (let ((_let_108 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (_let_2 tptp.sk_c6 tptp.sk_c7 QUANTIFIERS_INST_CBQI_PROP)) :args _let_104)) _let_105 :args (_let_61 false _let_29)))) (let ((_let_109 (not _let_59))) (let ((_let_110 (not _let_58))) (let ((_let_111 (not _let_57))) (let ((_let_112 (not _let_55))) (let ((_let_113 (not _let_53))) (let ((_let_114 (not _let_51))) (let ((_let_115 (not _let_50))) (let ((_let_116 (not _let_47))) (let ((_let_117 (not _let_46))) (let ((_let_118 (and _let_39 _let_37 _let_33 _let_46 _let_47 _let_50 _let_51 _let_53 _let_55 _let_57 _let_58 _let_59 _let_61))) (let ((_let_119 (APPLY_UF tptp.multiply))) (let ((_let_120 (ASSUME :args (_let_33)))) (let ((_let_121 (SYMM (SYMM _let_120)))) (let ((_let_122 (SYMM _let_121))) (let ((_let_123 (ASSUME :args (_let_61)))) (let ((_let_124 (ASSUME :args (_let_51)))) (let ((_let_125 (SYMM _let_124))) (let ((_let_126 (ASSUME :args (_let_57)))) (let ((_let_127 (SYMM _let_126))) (let ((_let_128 (SYMM _let_127))) (let ((_let_129 (ASSUME :args (_let_50)))) (let ((_let_130 (SYMM _let_129))) (let ((_let_131 (CONG _let_130 _let_124 :args _let_119))) (let ((_let_132 (ASSUME :args (_let_58)))) (let ((_let_133 (SYMM _let_132))) (let ((_let_134 (ASSUME :args (_let_39)))) (let ((_let_135 (SYMM _let_134))) (let ((_let_136 (ASSUME :args (_let_37)))) (let ((_let_137 (SYMM _let_136))) (let ((_let_138 (ASSUME :args (_let_59)))) (let ((_let_139 (SYMM (SYMM _let_138)))) (let ((_let_140 (ASSUME :args (_let_47)))) (let ((_let_141 (SYMM _let_140))) (let ((_let_142 (ASSUME :args (_let_53)))) (let ((_let_143 (SYMM (SYMM _let_142)))) (let ((_let_144 (ASSUME :args (_let_46)))) (let ((_let_145 (SYMM _let_144))) (let ((_let_146 (CONG _let_145 _let_140 :args _let_119))) (let ((_let_147 (REFL :args (tptp.sk_c8)))) (let ((_let_148 (CONG _let_144 _let_147 :args _let_119))) (let ((_let_149 (REFL :args (_let_48)))) (let ((_let_150 (CONG _let_149 (TRANS _let_140 _let_148 _let_146 (CONG _let_143 _let_141 :args _let_119) _let_139 (CONG _let_137 _let_135 :args _let_119)) :args _let_119))) (let ((_let_151 (ASSUME :args (_let_55)))) (let ((_let_152 (SYMM _let_151))) (let ((_let_153 (SYMM _let_131))) (let ((_let_154 (CONG _let_144 _let_125 :args _let_119))) (let ((_let_155 (SYMM _let_154))) (let ((_let_156 (REFL :args (tptp.sk_c7)))) (let ((_let_157 (CONG _let_145 _let_156 :args _let_119))) (let ((_let_158 (SYMM _let_157))) (let ((_let_159 (CONG _let_145 _let_151 :args _let_119))) (let ((_let_160 (REFL :args (tptp.sk_c6)))) (let ((_let_161 (CONG _let_144 _let_160 :args _let_119))) (let ((_let_162 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_118)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_123 _let_138 _let_132 _let_124 _let_126 _let_142 _let_129 _let_151 _let_140 _let_136 _let_144 _let_134 _let_120) (SCOPE (TRANS _let_151 _let_161 _let_159 (CONG (SYMM (TRANS _let_122 _let_124 _let_158 _let_155 _let_153 _let_132 (SYMM _let_150) _let_130)) _let_152 :args _let_119) _let_127 _let_129 _let_150 _let_133 _let_131 (CONG _let_128 _let_125 :args _let_119) (SYMM (SYMM _let_123)) (CONG _let_122 (REFL :args (_let_60)) :args _let_119)) :args (_let_61 _let_59 _let_58 _let_51 _let_57 _let_53 _let_50 _let_55 _let_47 _let_37 _let_46 _let_39 _let_33))) :args (_let_39 _let_37 _let_33 _let_46 _let_47 _let_50 _let_51 _let_53 _let_55 _let_57 _let_58 _let_59 _let_61))) :args (true _let_118)) :args ((or _let_77 _let_40 _let_38 _let_117 _let_116 _let_115 _let_114 _let_113 _let_112 _let_111 _let_110 _let_62 _let_109 (not _let_61)))))) (let ((_let_163 (and _let_39 _let_37 _let_33 _let_46 _let_47 _let_50 _let_51 _let_53 _let_55 _let_57 _let_58 _let_59))) (let ((_let_164 (CONG _let_145 _let_160 :args _let_119))) (let ((_let_165 (CONG _let_144 _let_152 :args _let_119))) (let ((_let_166 (CONG _let_145 _let_147 :args _let_119))) (let ((_let_167 (CONG _let_144 _let_141 :args _let_119))) (let ((_let_168 (CONG _let_149 (TRANS (CONG (SYMM _let_137) (SYMM _let_135) :args _let_119) (SYMM _let_139) (CONG (SYMM _let_143) _let_140 :args _let_119) _let_167 _let_166 _let_141) :args _let_119))) (let ((_let_169 (SYMM _let_133))) (let ((_let_170 (CONG _let_129 _let_125 :args _let_119))) (let ((_let_171 (CONG _let_145 _let_124 :args _let_119))) (let ((_let_172 (CONG _let_144 _let_156 :args _let_119))) (let ((_let_173 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_163)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_144 _let_151 _let_129 _let_140 _let_142 _let_138 _let_136 _let_134 _let_132 _let_124 _let_120 _let_126) (SCOPE (TRANS _let_124 _let_172 _let_171 _let_170 _let_169 _let_168 _let_130 _let_128 (CONG (TRANS _let_122 _let_124 _let_172 _let_171 _let_170 _let_169 _let_168 _let_130) _let_151 :args _let_119) _let_165 _let_164) :args (_let_46 _let_55 _let_50 _let_47 _let_53 _let_59 _let_37 _let_39 _let_58 _let_51 _let_33 _let_57))) :args (_let_39 _let_37 _let_33 _let_46 _let_47 _let_50 _let_51 _let_53 _let_55 _let_57 _let_58 _let_59))) :args (true _let_163)) :args ((or _let_77 _let_40 _let_38 _let_117 _let_116 _let_115 _let_114 _let_113 _let_112 _let_111 _let_110 _let_63 _let_109))))) (let ((_let_174 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args _let_91) :args _let_97)) _let_96 :args (_let_66 false _let_95)))) (let ((_let_175 (_let_64 QUANTIFIERS_INST_ENUM))) (let ((_let_176 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args _let_175) :args _let_90)) _let_89 :args (_let_68 false _let_88)))) (let ((_let_177 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args _let_175) :args _let_97)) _let_96 :args (_let_71 false _let_95)))) (let ((_let_178 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (tptp.identity _let_64 _let_64 QUANTIFIERS_INST_ENUM)) :args _let_104)) _let_105 :args (_let_73 false _let_29)))) (let ((_let_179 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (_let_64 tptp.identity _let_64 QUANTIFIERS_INST_CBQI_PROP)) :args _let_104)) _let_105 :args (_let_74 false _let_29)))) (let ((_let_180 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (_let_69 _let_64 _let_64 QUANTIFIERS_INST_CBQI_PROP)) :args _let_104)) _let_105 :args (_let_75 false _let_29)))) (let ((_let_181 (not _let_75))) (let ((_let_182 (not _let_74))) (let ((_let_183 (not _let_73))) (let ((_let_184 (not _let_71))) (let ((_let_185 (not _let_68))) (let ((_let_186 (not _let_66))) (let ((_let_187 (and _let_39 _let_37 _let_33 _let_46 _let_66 _let_47 _let_50 _let_51 _let_53 _let_55 _let_57 _let_68 _let_71 _let_73 _let_74 _let_75 _let_58 _let_59))) (let ((_let_188 (ASSUME :args (_let_68)))) (let ((_let_189 (SYMM _let_188))) (let ((_let_190 (REFL :args (_let_64)))) (let ((_let_191 (ASSUME :args (_let_66)))) (let ((_let_192 (CONG (SYMM _let_191) _let_190 :args _let_119))) (let ((_let_193 (ASSUME :args (_let_74)))) (let ((_let_194 (SYMM _let_193))) (let ((_let_195 (CONG _let_190 _let_188 :args _let_119))) (let ((_let_196 (CONG _let_189 _let_190 :args _let_119))) (let ((_let_197 (ASSUME :args (_let_73)))) (let ((_let_198 (SYMM _let_197))) (let ((_let_199 (TRANS _let_188 (SYMM _let_192) _let_193 (SYMM _let_195)))) (let ((_let_200 (ASSUME :args (_let_71)))) (let ((_let_201 (CONG (SYMM _let_200) _let_199 :args _let_119))) (let ((_let_202 (ASSUME :args (_let_75)))) (let ((_let_203 (SYMM _let_202))) (let ((_let_204 (CONG (REFL :args (_let_69)) _let_199 :args _let_119))) (let ((_let_205 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_187)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_188 _let_191 _let_193 _let_197 _let_200 _let_202 _let_126 _let_120 _let_124 _let_144 _let_129 _let_132 _let_136 _let_134 _let_138 _let_142 _let_140 _let_151) (SCOPE (TRANS _let_151 _let_161 _let_159 (CONG (TRANS _let_129 _let_150 _let_133 _let_131 _let_154 _let_157 _let_125 _let_121) _let_152 :args _let_119) _let_127 _let_200 _let_204 _let_203 _let_201 _let_198 _let_196 _let_195 _let_194 _let_192 _let_189) :args (_let_68 _let_66 _let_74 _let_73 _let_71 _let_75 _let_57 _let_33 _let_51 _let_46 _let_50 _let_58 _let_37 _let_39 _let_59 _let_53 _let_47 _let_55))) :args (_let_39 _let_37 _let_33 _let_46 _let_66 _let_47 _let_50 _let_51 _let_53 _let_55 _let_57 _let_68 _let_71 _let_73 _let_74 _let_75 _let_58 _let_59))) :args (true _let_187)) :args ((or _let_77 _let_40 _let_38 _let_117 _let_186 _let_116 _let_115 _let_114 _let_113 _let_112 _let_111 _let_185 _let_184 _let_183 _let_182 _let_181 _let_110 _let_76 _let_109))))) (let ((_let_206 (not _let_79))) (let ((_let_207 (REORDERING (CNF_OR_POS :args (_let_79)) :args ((or _let_77 _let_78 _let_206))))) (let ((_let_208 (not _let_82))) (let ((_let_209 (REORDERING (CNF_OR_POS :args (_let_82)) :args ((or _let_81 _let_80 _let_208))))) (let ((_let_210 (_let_36))) (let ((_let_211 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_210) :args (tptp.sk_c6 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_210)))) (let ((_let_212 (_let_35))) (let ((_let_213 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_212) :args (tptp.identity QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_212)))) (let ((_let_214 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_77 _let_34 _let_35 _let_32 _let_36))))) (let ((_let_215 (= tptp.sk_c6 _let_14))) (let ((_let_216 (= tptp.sk_c4 _let_11))) (let ((_let_217 (= tptp.sk_c7 _let_4))) (let ((_let_218 (= tptp.identity (tptp.multiply _let_19 tptp.sk_c1)))) (let ((_let_219 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (let ((_let_220 (tptp.multiply _let_4 tptp.sk_c3))) (let ((_let_221 (= tptp.identity _let_220))) (let ((_let_222 (= (tptp.multiply _let_220 tptp.sk_c7) (tptp.multiply _let_4 _let_11)))) (let ((_let_223 (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 _let_24)))) (let ((_let_224 (not _let_44))) (let ((_let_225 (or _let_45 _let_224))) (let ((_let_226 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (tptp.sk_c1 QUANTIFIERS_INST_ENUM)) :args _let_97)) _let_96 :args (_let_218 false _let_95)))) (let ((_let_227 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (tptp.sk_c8 tptp.sk_c1 tptp.sk_c8 QUANTIFIERS_INST_ENUM)) :args _let_104)) _let_105 :args (_let_223 false _let_29)))) (let ((_let_228 (not _let_223))) (let ((_let_229 (not _let_218))) (let ((_let_230 (and _let_43 _let_33 _let_44 _let_46 _let_218 _let_47 _let_50 _let_51 _let_55 _let_57 _let_223 _let_58))) (let ((_let_231 (true _let_230))) (let ((_let_232 (_let_43 _let_33 _let_44 _let_46 _let_218 _let_47 _let_50 _let_51 _let_55 _let_57 _let_223 _let_58))) (let ((_let_233 (ASSUME :args (_let_43)))) (let ((_let_234 (SYMM _let_233))) (let ((_let_235 (ASSUME :args (_let_223)))) (let ((_let_236 (SYMM (SYMM _let_235)))) (let ((_let_237 (REFL :args (tptp.sk_c1)))) (let ((_let_238 (ASSUME :args (_let_44)))) (let ((_let_239 (SYMM _let_238))) (let ((_let_240 (ASSUME :args (_let_218)))) (let ((_let_241 (SYMM (SYMM _let_240)))) (let ((_let_242 (CONG _let_149 (TRANS _let_140 _let_148 _let_146 (CONG (TRANS _let_241 (CONG _let_239 _let_237 :args _let_119)) _let_141 :args _let_119) _let_236 (CONG _let_147 _let_234 :args _let_119)) :args _let_119))) (let ((_let_243 (TRANS _let_129 _let_242 _let_133 _let_131 _let_154 _let_157 _let_125))) (let ((_let_244 (SYMM _let_242))) (let ((_let_245 (CONG (TRANS _let_122 _let_124 _let_158 _let_155 _let_153 _let_132 _let_244 _let_130) _let_151 :args _let_119))) (let ((_let_246 (CNF_AND_NEG :args (_let_230)))) (let ((_let_247 (CONG _let_149 (TRANS (CONG _let_147 (SYMM _let_234) :args _let_119) (SYMM _let_236) (CONG (TRANS (CONG (SYMM _let_239) _let_237 :args _let_119) (SYMM _let_241)) _let_140 :args _let_119) _let_167 _let_166 _let_141) :args _let_119))) (let ((_let_248 (and _let_43 _let_33 _let_44 _let_46 _let_66 _let_218 _let_47 _let_50 _let_51 _let_55 _let_57 _let_68 _let_71 _let_73 _let_74 _let_75 _let_223 _let_58))) (let ((_let_249 (and _let_43 _let_44 _let_215 _let_216 _let_217 _let_46 _let_66 _let_218 _let_47 _let_50 _let_51 _let_219 _let_221 _let_222 _let_68 _let_71 _let_73 _let_74 _let_75 _let_223 _let_58))) (let ((_let_250 (ASSUME :args (_let_215)))) (let ((_let_251 (ASSUME :args (_let_219)))) (let ((_let_252 (ASSUME :args (_let_216)))) (let ((_let_253 (ASSUME :args (_let_217)))) (let ((_let_254 (ASSUME :args (_let_222)))) (let ((_let_255 (ASSUME :args (_let_221)))) (let ((_let_256 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_249)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_250 _let_233 _let_124 _let_144 _let_129 _let_132 _let_235 _let_238 _let_240 _let_140 _let_251 _let_253 _let_252 _let_254 _let_255 _let_188 _let_191 _let_193 _let_197 _let_200 _let_202) (SCOPE (TRANS _let_124 _let_158 _let_155 _let_153 _let_132 _let_244 _let_130 _let_200 _let_204 _let_203 _let_201 _let_198 _let_196 _let_195 _let_194 _let_192 _let_189 (CONG (TRANS _let_129 _let_242 _let_133 _let_131 (CONG (SYMM (SYMM _let_255)) _let_125 :args _let_119) (SYMM (SYMM _let_254)) (CONG (TRANS (SYMM _let_253) _let_124 _let_158 _let_155 _let_153 _let_132 _let_244 _let_130) (TRANS (SYMM _let_252) _let_251) :args _let_119) (CONG (TRANS (TRANS _let_129 _let_242 _let_133 _let_131 _let_154 _let_157 _let_125 _let_233) _let_234) (SYMM _let_251) :args _let_119) (SYMM _let_250)) :args (APPLY_UF tptp.inverse))) :args (_let_215 _let_43 _let_51 _let_46 _let_50 _let_58 _let_223 _let_44 _let_218 _let_47 _let_219 _let_217 _let_216 _let_222 _let_221 _let_68 _let_66 _let_74 _let_73 _let_71 _let_75))) :args (_let_43 _let_44 _let_215 _let_216 _let_217 _let_46 _let_66 _let_218 _let_47 _let_50 _let_51 _let_219 _let_221 _let_222 _let_68 _let_71 _let_73 _let_74 _let_75 _let_223 _let_58))) :args (true _let_249)) :args ((or _let_33 _let_45 _let_224 (not _let_215) (not _let_216) (not _let_217) _let_117 _let_186 _let_229 _let_116 _let_115 _let_114 (not _let_219) (not _let_221) (not _let_222) _let_185 _let_184 _let_183 _let_182 _let_181 _let_228 _let_110))) _let_106 _let_227 _let_180 _let_179 _let_178 _let_177 _let_176 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (_let_4 tptp.sk_c3 tptp.sk_c7 QUANTIFIERS_INST_CBQI_PROP)) :args _let_104)) _let_105 :args (_let_222 false _let_29)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (tptp.sk_c3 QUANTIFIERS_INST_ENUM)) :args _let_97)) _let_96 :args (_let_221 false _let_95)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args (tptp.sk_c4 QUANTIFIERS_INST_ENUM)) :args _let_90)) _let_89 :args (_let_219 false _let_88)) _let_99 _let_98 _let_94 _let_226 _let_174 _let_92 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_33 _let_217))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_33 _let_216))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_33 _let_215))) (MACRO_RESOLUTION_TRUST _let_213 _let_209 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_248)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_188 _let_191 _let_193 _let_197 _let_200 _let_202 _let_126 _let_120 _let_124 _let_144 _let_129 _let_132 _let_233 _let_235 _let_238 _let_240 _let_140 _let_151) (SCOPE (TRANS _let_151 _let_161 _let_159 (CONG (TRANS _let_129 _let_242 _let_133 _let_131 _let_154 _let_157 _let_125 _let_121) _let_152 :args _let_119) _let_127 _let_200 _let_204 _let_203 _let_201 _let_198 _let_196 _let_195 _let_194 _let_192 _let_189) :args (_let_68 _let_66 _let_74 _let_73 _let_71 _let_75 _let_57 _let_33 _let_51 _let_46 _let_50 _let_58 _let_43 _let_223 _let_44 _let_218 _let_47 _let_55))) :args (_let_43 _let_33 _let_44 _let_46 _let_66 _let_218 _let_47 _let_50 _let_51 _let_55 _let_57 _let_68 _let_71 _let_73 _let_74 _let_75 _let_223 _let_58))) :args (true _let_248)) :args ((or _let_77 _let_45 _let_224 _let_117 _let_186 _let_229 _let_116 _let_115 _let_114 _let_112 _let_111 _let_185 _let_184 _let_183 _let_182 _let_181 _let_228 _let_110 _let_76))) _let_106 _let_227 _let_180 _let_179 _let_178 _let_177 _let_176 _let_103 _let_102 _let_99 _let_98 _let_94 _let_226 _let_174 _let_92 (REORDERING (RESOLUTION _let_246 (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_144 _let_151 _let_129 _let_140 _let_240 _let_238 _let_235 _let_233 _let_132 _let_124 _let_120 _let_126) (SCOPE (TRANS _let_124 _let_172 _let_171 _let_170 _let_169 _let_247 _let_130 _let_128 (CONG (TRANS _let_122 _let_124 _let_172 _let_171 _let_170 _let_169 _let_247 _let_130) _let_151 :args _let_119) _let_165 _let_164) :args (_let_46 _let_55 _let_50 _let_47 _let_218 _let_44 _let_223 _let_43 _let_58 _let_51 _let_33 _let_57))) :args _let_232)) :args _let_231) :args ((or _let_77 _let_45 _let_224 _let_117 _let_229 _let_116 _let_115 _let_114 _let_112 _let_111 _let_228 _let_110 _let_63))) _let_106 _let_227 _let_103 _let_102 _let_99 _let_98 _let_94 _let_226 _let_92 _let_214 _let_211 _let_207 (REORDERING (RESOLUTION _let_246 (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_124 _let_144 _let_129 _let_132 _let_233 _let_235 _let_238 _let_240 _let_140 _let_151 _let_120 _let_126) (SCOPE (TRANS _let_151 (SYMM _let_164) (SYMM _let_165) (SYMM _let_245) _let_127 _let_144 (CONG _let_243 (TRANS _let_144 (CONG (TRANS _let_128 _let_245 _let_165 _let_164 _let_152) _let_243 :args _let_119)) :args _let_119)) :args (_let_51 _let_46 _let_50 _let_58 _let_43 _let_223 _let_44 _let_218 _let_47 _let_55 _let_33 _let_57))) :args _let_232)) :args _let_231) :args ((or _let_77 _let_45 _let_224 _let_117 _let_229 _let_116 _let_115 _let_114 _let_112 _let_111 _let_228 _let_110 _let_62))) _let_106 _let_227 _let_103 _let_102 _let_99 _let_98 _let_94 _let_226 _let_92 _let_87 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (tptp.sk_c1 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_84)) (REORDERING (CNF_OR_POS :args (_let_225)) :args ((or _let_45 _let_224 (not _let_225)))) :args ((or _let_77 _let_45 _let_224) true _let_82 false _let_76 false _let_58 false _let_223 false _let_75 false _let_74 false _let_73 false _let_71 false _let_68 false _let_57 false _let_55 false _let_51 false _let_50 false _let_47 false _let_218 false _let_66 false _let_46 false _let_63 false _let_58 false _let_223 false _let_57 false _let_55 false _let_51 false _let_50 false _let_47 false _let_218 false _let_46 false _let_35 true _let_36 true _let_79 false _let_62 false _let_58 false _let_223 false _let_57 false _let_55 false _let_51 false _let_50 false _let_47 false _let_218 false _let_46 true _let_32 true _let_34 true _let_225)) :args (_let_225 false _let_58 false _let_223 false _let_75 false _let_74 false _let_73 false _let_71 false _let_68 false _let_222 false _let_221 false _let_219 false _let_51 false _let_50 false _let_47 false _let_218 false _let_66 false _let_46 false _let_217 false _let_216 false _let_215 true _let_33)) (MACRO_RESOLUTION_TRUST _let_214 _let_213 _let_211 _let_209 _let_207 _let_205 _let_107 _let_106 _let_180 _let_179 _let_178 _let_177 _let_176 _let_103 _let_102 _let_100 _let_99 _let_98 _let_94 _let_174 _let_92 _let_173 _let_107 _let_106 _let_103 _let_102 _let_100 _let_99 _let_98 _let_94 _let_92 _let_162 _let_108 _let_107 _let_106 _let_103 _let_102 _let_100 _let_99 _let_98 _let_94 _let_92 _let_87 _let_86 _let_83 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_21)) (MACRO_SR_EQ_INTRO :args (_let_21 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_33 _let_44))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_22)) (MACRO_SR_EQ_INTRO :args (_let_22 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_37 _let_44))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_23)) (MACRO_SR_EQ_INTRO :args (_let_23 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_39 _let_44))) :args (_let_44 true _let_35 true _let_36 true _let_82 true _let_79 false _let_76 false _let_59 false _let_58 false _let_75 false _let_74 false _let_73 false _let_71 false _let_68 false _let_57 false _let_55 false _let_53 false _let_51 false _let_50 false _let_47 false _let_66 false _let_46 false _let_63 false _let_59 false _let_58 false _let_57 false _let_55 false _let_53 false _let_51 false _let_50 false _let_47 false _let_46 false _let_62 false _let_61 false _let_59 false _let_58 false _let_57 false _let_55 false _let_53 false _let_51 false _let_50 false _let_47 false _let_46 true _let_32 true _let_34 true _let_41 false _let_33 false _let_37 false _let_39)) :args (_let_45 false _let_44)))) (let ((_let_257 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_27)) (MACRO_SR_EQ_INTRO :args (_let_27 SB_DEFAULT SBA_FIXPOINT))) _let_256 :args (_let_37 true _let_43)))) (let ((_let_258 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_28)) (MACRO_SR_EQ_INTRO :args (_let_28 SB_DEFAULT SBA_FIXPOINT))) _let_256 :args (_let_39 true _let_43)))) (let ((_let_259 (MACRO_RESOLUTION_TRUST _let_86 (MACRO_RESOLUTION_TRUST _let_83 _let_258 _let_257 :args (_let_42 false _let_39 false _let_37)) :args ((not _let_34) true _let_41)))) (let ((_let_260 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_26)) (MACRO_SR_EQ_INTRO :args (_let_26 SB_DEFAULT SBA_FIXPOINT))) _let_256 :args (_let_33 true _let_43)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_214 (MACRO_RESOLUTION_TRUST _let_211 (MACRO_RESOLUTION_TRUST _let_207 _let_260 (MACRO_RESOLUTION_TRUST _let_162 _let_260 _let_258 _let_257 _let_92 _let_94 _let_98 _let_99 _let_100 _let_102 _let_103 _let_106 _let_107 _let_108 :args (_let_62 false _let_33 false _let_39 false _let_37 false _let_46 false _let_47 false _let_50 false _let_51 false _let_53 false _let_55 false _let_57 false _let_58 false _let_59 false _let_61)) :args (_let_206 false _let_33 false _let_62)) :args ((not _let_36) true _let_79)) (MACRO_RESOLUTION_TRUST _let_213 (MACRO_RESOLUTION_TRUST _let_209 (MACRO_RESOLUTION_TRUST _let_173 _let_260 _let_258 _let_257 _let_92 _let_94 _let_98 _let_99 _let_100 _let_102 _let_103 _let_106 _let_107 :args (_let_63 false _let_33 false _let_39 false _let_37 false _let_46 false _let_47 false _let_50 false _let_51 false _let_53 false _let_55 false _let_57 false _let_58 false _let_59)) (MACRO_RESOLUTION_TRUST _let_205 _let_260 _let_258 _let_257 _let_92 _let_174 _let_94 _let_98 _let_99 _let_100 _let_102 _let_103 _let_176 _let_177 _let_178 _let_179 _let_180 _let_106 _let_107 :args (_let_76 false _let_33 false _let_39 false _let_37 false _let_46 false _let_66 false _let_47 false _let_50 false _let_51 false _let_53 false _let_55 false _let_57 false _let_68 false _let_71 false _let_73 false _let_74 false _let_75 false _let_58 false _let_59)) :args (_let_208 false _let_63 false _let_76)) :args ((not _let_35) true _let_82)) _let_259 _let_260 (MACRO_RESOLUTION_TRUST _let_87 _let_259 :args ((not _let_32) true _let_34)) :args (false true _let_36 true _let_35 true _let_34 false _let_33 true _let_32)) :args (_let_31 _let_30 _let_29 _let_28 _let_27 _let_26 _let_23 _let_22 _let_21 (or _let_18 _let_10) (or _let_18 _let_8) (or _let_18 _let_3) (or _let_17 _let_10) (or _let_17 _let_8) (or _let_17 _let_3) (or _let_15 _let_10) (or _let_15 _let_8) _let_16 (or _let_12 _let_10) (or _let_12 _let_8) _let_13 (or _let_5 _let_10) (or _let_5 _let_8) _let_6 _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 11.02/11.24  )
% 11.02/11.24  % SZS output end Proof for GRP267-1
% 11.02/11.24  % cvc5---1.0.5 exiting
% 11.02/11.25  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------