%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP240-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n004.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 00:25:18 EDT 2023

% Result   : Unsatisfiable 1.10s 1.44s
% Output   : Proof 1.27s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.18  % Problem    : GRP240-1 : TPTP v8.1.2. Released v2.5.0.
% 0.06/0.19  % Command    : do_cvc5 %s %d
% 0.19/0.40  % Computer : n004.cluster.edu
% 0.19/0.40  % Model    : x86_64 x86_64
% 0.19/0.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.40  % Memory   : 8042.1875MB
% 0.19/0.40  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.19/0.40  % CPULimit   : 300
% 0.19/0.40  % WCLimit    : 300
% 0.19/0.40  % DateTime   : Mon Aug 28 23:34:22 EDT 2023
% 0.19/0.40  % CPUTime    : 
% 0.24/0.54  %----Proving TF0_NAR, FOF, or CNF
% 0.24/0.54  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.bP3D9gubiF/cvc5---1.0.5_4455.p...
% 0.24/0.55  ------- get file name : TPTP file name is GRP240-1
% 0.24/0.55  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_4455.smt2...
% 0.24/0.55  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 1.10/1.44  % SZS status Unsatisfiable for GRP240-1
% 1.10/1.44  % SZS output start Proof for GRP240-1
% 1.27/1.47  (
% 1.27/1.47  (let ((_let_1 (forall ((X4 $$unsorted) (X5 $$unsorted) (X6 $$unsorted) (X1 $$unsorted) (X3 $$unsorted) (X2 $$unsorted) (X7 $$unsorted) (X8 $$unsorted)) (or (not (= (tptp.inverse tptp.sk_c10) tptp.sk_c9)) (not (= (tptp.inverse tptp.sk_c9) tptp.sk_c10)) (not (= (tptp.multiply X4 tptp.sk_c9) tptp.sk_c10)) (not (= (tptp.inverse X4) tptp.sk_c9)) (not (= (tptp.multiply tptp.sk_c10 X5) tptp.sk_c9)) (not (= (tptp.multiply X6 tptp.sk_c10) X5)) (not (= (tptp.inverse X6) tptp.sk_c10)) (not (= (tptp.inverse X1) tptp.sk_c10)) (not (= (tptp.multiply X1 tptp.sk_c9) tptp.sk_c10)) (not (= (tptp.multiply X3 X2) tptp.sk_c9)) (not (= (tptp.inverse X3) X2)) (not (= (tptp.multiply X2 tptp.sk_c10) tptp.sk_c9)) (not (= (tptp.multiply tptp.sk_c10 X7) tptp.sk_c9)) (not (= (tptp.multiply X8 tptp.sk_c10) X7)) (not (= (tptp.inverse X8) tptp.sk_c10)))))) (let ((_let_2 (tptp.inverse tptp.sk_c7))) (let ((_let_3 (= _let_2 tptp.sk_c10))) (let ((_let_4 (tptp.inverse tptp.sk_c2))) (let ((_let_5 (= _let_4 tptp.sk_c10))) (let ((_let_6 (or _let_5 _let_3))) (let ((_let_7 (tptp.multiply tptp.sk_c7 tptp.sk_c10))) (let ((_let_8 (= _let_7 tptp.sk_c8))) (let ((_let_9 (or _let_5 _let_8))) (let ((_let_10 (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (let ((_let_11 (= _let_10 tptp.sk_c9))) (let ((_let_12 (or _let_5 _let_11))) (let ((_let_13 (tptp.multiply tptp.sk_c6 tptp.sk_c10))) (let ((_let_14 (= _let_13 tptp.sk_c9))) (let ((_let_15 (or _let_5 _let_14))) (let ((_let_16 (tptp.inverse tptp.sk_c5))) (let ((_let_17 (= _let_16 tptp.sk_c6))) (let ((_let_18 (or _let_5 _let_17))) (let ((_let_19 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (let ((_let_20 (= _let_19 tptp.sk_c9))) (let ((_let_21 (or _let_5 _let_20))) (let ((_let_22 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (let ((_let_23 (= _let_22 tptp.sk_c10))) (let ((_let_24 (or _let_5 _let_23))) (let ((_let_25 (tptp.inverse tptp.sk_c4))) (let ((_let_26 (= _let_25 tptp.sk_c10))) (let ((_let_27 (or _let_5 _let_26))) (let ((_let_28 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (let ((_let_29 (= _let_28 tptp.sk_c3))) (let ((_let_30 (or _let_29 _let_3))) (let ((_let_31 (or _let_29 _let_8))) (let ((_let_32 (or _let_29 _let_11))) (let ((_let_33 (or _let_29 _let_23))) (let ((_let_34 (or _let_29 _let_26))) (let ((_let_35 (tptp.multiply tptp.sk_c10 tptp.sk_c3))) (let ((_let_36 (= _let_35 tptp.sk_c9))) (let ((_let_37 (or _let_36 _let_3))) (let ((_let_38 (or _let_36 _let_8))) (let ((_let_39 (or _let_36 _let_11))) (let ((_let_40 (or _let_36 _let_23))) (let ((_let_41 (or _let_36 _let_26))) (let ((_let_42 (tptp.inverse tptp.sk_c1))) (let ((_let_43 (= _let_42 tptp.sk_c9))) (let ((_let_44 (or _let_43 _let_23))) (let ((_let_45 (or _let_43 _let_26))) (let ((_let_46 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) (let ((_let_47 (= _let_46 tptp.sk_c10))) (let ((_let_48 (or _let_47 _let_23))) (let ((_let_49 (or _let_47 _let_26))) (let ((_let_50 (tptp.inverse tptp.sk_c9))) (let ((_let_51 (= _let_50 tptp.sk_c10))) (let ((_let_52 (tptp.inverse tptp.sk_c10))) (let ((_let_53 (= _let_52 tptp.sk_c9))) (let ((_let_54 (or _let_53 _let_3))) (let ((_let_55 (or _let_53 _let_8))) (let ((_let_56 (or _let_53 _let_11))) (let ((_let_57 (or _let_53 _let_14))) (let ((_let_58 (or _let_53 _let_17))) (let ((_let_59 (or _let_53 _let_20))) (let ((_let_60 (or _let_53 _let_23))) (let ((_let_61 (or _let_53 _let_26))) (let ((_let_62 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))) (let ((_let_63 (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity)))) (let ((_let_64 (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)))) (let ((_let_65 (tptp.multiply _let_52 tptp.sk_c10))) (let ((_let_66 (= tptp.identity _let_65))) (let ((_let_67 (= tptp.identity (tptp.multiply _let_4 tptp.sk_c2)))) (let ((_let_68 (tptp.inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_69 (= tptp.identity (tptp.multiply _let_68 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_70 (tptp.inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_71 (= tptp.identity (tptp.multiply _let_70 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_72 (tptp.inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_73 (= tptp.identity (tptp.multiply _let_72 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_74 (tptp.inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_75 (tptp.multiply _let_74 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_76 (= tptp.identity _let_75))) (let ((_let_77 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.sk_c10))) (let ((_let_78 (tptp.multiply tptp.sk_c9 _let_77))) (let ((_let_79 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_78))) (let ((_let_80 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.sk_c9))) (let ((_let_81 (= (tptp.multiply _let_80 _let_77) _let_79))) (let ((_let_82 (tptp.multiply tptp.sk_c10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_83 (tptp.multiply tptp.sk_c10 _let_77))) (let ((_let_84 (= _let_83 (tptp.multiply _let_82 tptp.sk_c10)))) (let ((_let_85 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) (let ((_let_86 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_87 (= (tptp.multiply (tptp.multiply _let_86 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) _let_78) (tptp.multiply _let_86 _let_79)))) (let ((_let_88 (tptp.multiply _let_86 tptp.sk_c9))) (let ((_let_89 (tptp.multiply tptp.sk_c9 _let_86))) (let ((_let_90 (= (tptp.multiply _let_89 tptp.sk_c9) (tptp.multiply tptp.sk_c9 _let_88)))) (let ((_let_91 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 (tptp.multiply tptp.identity SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))) (let ((_let_92 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.sk_c10))) (let ((_let_93 (tptp.multiply tptp.sk_c10 (tptp.multiply _let_77 _let_92)))) (let ((_let_94 (tptp.multiply _let_83 _let_92))) (let ((_let_95 (= _let_94 _let_93))) (let ((_let_96 (tptp.multiply tptp.sk_c9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_97 (tptp.multiply _let_96 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_98 (= _let_89 _let_97))) (let ((_let_99 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_70))) (let ((_let_100 (= (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_99) (tptp.multiply _let_86 _let_70)))) (let ((_let_101 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.multiply tptp.identity SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_102 (= _let_70 (tptp.multiply tptp.identity _let_70)))) (let ((_let_103 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (tptp.multiply tptp.identity SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_104 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_70))) (let ((_let_105 (tptp.multiply tptp.sk_c10 _let_104))) (let ((_let_106 (= (tptp.multiply _let_82 _let_70) _let_105))) (let ((_let_107 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_108 (tptp.multiply tptp.sk_c10 _let_107))) (let ((_let_109 (= (tptp.multiply _let_82 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_108))) (let ((_let_110 (tptp.multiply tptp.sk_c10 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_111 (= (tptp.multiply _let_82 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) _let_110))) (let ((_let_112 (= tptp.sk_c9 _let_52))) (let ((_let_113 (= tptp.identity (tptp.multiply (tptp.inverse _let_4) _let_4)))) (let ((_let_114 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (let ((_let_115 (= (tptp.multiply _let_105 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.multiply tptp.sk_c10 (tptp.multiply _let_104 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_116 (= (tptp.multiply _let_97 tptp.sk_c9) (tptp.multiply _let_96 _let_80)))) (let ((_let_117 (= (tptp.multiply _let_86 _let_78) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_79)))) (let ((_let_118 (= (tptp.multiply _let_94 _let_92) (tptp.multiply _let_83 (tptp.multiply _let_92 _let_92))))) (let ((_let_119 (= (tptp.multiply _let_94 _let_77) (tptp.multiply _let_83 (tptp.multiply _let_92 _let_77))))) (let ((_let_120 (tptp.multiply tptp.sk_c10 _let_28))) (let ((_let_121 (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c2) tptp.sk_c10) _let_120))) (let ((_let_122 (= (tptp.multiply _let_92 _let_104) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_105)))) (let ((_let_123 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.sk_c10))) (let ((_let_124 (= (tptp.multiply _let_123 _let_104) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_105)))) (let ((_let_125 (= (tptp.multiply (tptp.multiply _let_86 tptp.sk_c10) _let_104) (tptp.multiply _let_86 _let_105)))) (let ((_let_126 (= (tptp.multiply _let_78 _let_86) (tptp.multiply (tptp.multiply _let_78 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))) (let ((_let_127 (= (tptp.multiply _let_93 _let_77) (tptp.multiply (tptp.multiply _let_93 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) tptp.sk_c10)))) (let ((_let_128 (= (tptp.multiply _let_123 _let_107) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_108)))) (let ((_let_129 (= (tptp.multiply tptp.sk_c10 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_70)) (tptp.multiply (tptp.multiply tptp.sk_c10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) _let_70)))) (let ((_let_130 (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.sk_c10) _let_104) (tptp.multiply tptp.sk_c9 _let_105)))) (let ((_let_131 (= tptp.sk_c9 _let_120))) (let ((_let_132 (= tptp.sk_c10 _let_4))) (let ((_let_133 (= tptp.sk_c9 _let_83))) (let ((_let_134 (= tptp.sk_c10 _let_68))) (let ((_let_135 (= tptp.sk_c10 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.sk_c9)))) (let ((_let_136 (= tptp.sk_c9 _let_72))) (let ((_let_137 (= tptp.sk_c10 _let_80))) (let ((_let_138 (= tptp.sk_c9 _let_65))) (let ((_let_139 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))) (let ((_let_140 (EQ_RESOLVE (ASSUME :args (_let_63)) (MACRO_SR_EQ_INTRO :args (_let_63 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_141 (_let_139))) (let ((_let_142 ((tptp.inverse X)))) (let ((_let_143 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_140 :args (tptp.sk_c10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_142)) :args _let_141)) _let_140 :args (_let_66 false _let_139)))) (let ((_let_144 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_140 :args (tptp.sk_c2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_142)) :args _let_141)) _let_140 :args (_let_67 false _let_139)))) (let ((_let_145 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_140 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_142)) :args _let_141)) _let_140 :args (_let_69 false _let_139)))) (let ((_let_146 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_140 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_142)) :args _let_141)) _let_140 :args (_let_76 false _let_139)))) (let ((_let_147 (_let_62))) (let ((_let_148 (ASSUME :args _let_147))) (let ((_let_149 ((tptp.multiply (tptp.multiply X Y) Z)))) (let ((_let_150 ((tptp.multiply X (tptp.multiply Y Z))))) (let ((_let_151 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_148 :args (tptp.sk_c10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.sk_c10 QUANTIFIERS_INST_E_MATCHING _let_150)) :args _let_147))) _let_148 :args (_let_84 false _let_62)))) (let ((_let_152 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))) (let ((_let_153 (EQ_RESOLVE (ASSUME :args (_let_64)) (MACRO_SR_EQ_INTRO :args (_let_64 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_154 (_let_152))) (let ((_let_155 ((tptp.multiply tptp.identity X)))) (let ((_let_156 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_153 :args (tptp.sk_c10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_155)) :args _let_154)) _let_153 :args (_let_85 false _let_152)))) (let ((_let_157 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_153 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_155)) :args _let_154)) _let_153 :args (_let_91 false _let_152)))) (let ((_let_158 (= tptp.sk_c10 _let_25))) (let ((_let_159 (= tptp.sk_c10 _let_22))) (let ((_let_160 (= tptp.sk_c9 _let_19))) (let ((_let_161 (= tptp.sk_c6 _let_16))) (let ((_let_162 (= tptp.sk_c9 _let_13))) (let ((_let_163 (= tptp.sk_c9 _let_10))) (let ((_let_164 (= tptp.sk_c8 _let_7))) (let ((_let_165 (= tptp.sk_c10 _let_2))) (let ((_let_166 (= tptp.sk_c9 (tptp.multiply tptp.sk_c5 _let_16)))) (let ((_let_167 (= tptp.sk_c9 (tptp.multiply _let_16 tptp.sk_c10)))) (let ((_let_168 (= tptp.identity (tptp.multiply _let_2 tptp.sk_c7)))) (let ((_let_169 (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c7) tptp.sk_c10) (tptp.multiply tptp.sk_c10 _let_7)))) (let ((_let_170 (= tptp.sk_c9 _let_25))) (let ((_let_171 (= tptp.sk_c10 _let_50))) (let ((_let_172 (not _let_167))) (let ((_let_173 (not _let_166))) (let ((_let_174 (or _let_173 _let_172))) (let ((_let_175 (not _let_170))) (let ((_let_176 (not _let_159))) (let ((_let_177 (or _let_176 _let_175))) (let ((_let_178 (forall ((X3 $$unsorted)) (let ((_let_1 (tptp.inverse X3))) (or (not (= tptp.sk_c9 (tptp.multiply X3 _let_1))) (not (= tptp.sk_c9 (tptp.multiply _let_1 tptp.sk_c10)))))))) (let ((_let_179 (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X4))))))) (let ((_let_180 (tptp.multiply _let_70 tptp.sk_c10))) (let ((_let_181 (= tptp.sk_c9 _let_180))) (let ((_let_182 (not _let_181))) (let ((_let_183 (or (not (= tptp.sk_c9 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_70))) _let_182))) (let ((_let_184 (= tptp.sk_c9 _let_74))) (let ((_let_185 (not _let_184))) (let ((_let_186 (not _let_137))) (let ((_let_187 (or _let_186 _let_185))) (let ((_let_188 (= tptp.identity (tptp.multiply _let_50 tptp.sk_c9)))) (let ((_let_189 (= (tptp.multiply _let_75 tptp.sk_c10) (tptp.multiply _let_74 _let_92)))) (let ((_let_190 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_180))) (let ((_let_191 (tptp.multiply _let_52 _let_190))) (let ((_let_192 (tptp.multiply _let_52 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_193 (tptp.multiply _let_192 _let_180))) (let ((_let_194 (= _let_193 _let_191))) (let ((_let_195 (= (tptp.multiply _let_193 tptp.sk_c10) (tptp.multiply _let_192 (tptp.multiply _let_180 tptp.sk_c10))))) (let ((_let_196 (and _let_160 _let_161))) (let ((_let_197 (APPLY_UF tptp.multiply))) (let ((_let_198 (ASSUME :args (_let_161)))) (let ((_let_199 (SYMM (SYMM _let_198)))) (let ((_let_200 (ASSUME :args (_let_160)))) (let ((_let_201 (RESOLUTION (CNF_AND_NEG :args (_let_196)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_198 _let_200) (SCOPE (TRANS (SYMM (SYMM _let_200)) (CONG (REFL :args (tptp.sk_c5)) _let_199 :args _let_197)) :args (_let_161 _let_160))) :args (_let_160 _let_161))) :args (true _let_196)))) (let ((_let_202 (and _let_161 _let_162))) (let ((_let_203 (_let_161 _let_162))) 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((_let_372 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_148 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_70 tptp.sk_c10 QUANTIFIERS_INST_E_MATCHING _let_150)) :args _let_147)) _let_148 :args (_let_352 false _let_62)))) (let ((_let_373 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_148 :args (_let_70 _let_99 tptp.sk_c10 QUANTIFIERS_INST_E_MATCHING _let_150)) :args _let_147)) _let_148 :args (_let_354 false _let_62)))) (let ((_let_374 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_148 :args (_let_70 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_70 QUANTIFIERS_INST_E_MATCHING _let_150)) :args _let_147))) _let_148 :args (_let_357 false _let_62)))) (let ((_let_375 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_148 :args (_let_355 _let_70 tptp.sk_c10 QUANTIFIERS_INST_E_MATCHING _let_149)) :args _let_147))) _let_148 :args (_let_358 false _let_62)))) (let ((_let_376 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_153 :args (_let_74 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_155)) :args _let_154)) _let_153 :args (_let_359 false _let_152)))) (let ((_let_377 (and _let_112 _let_181 _let_137 _let_184 _let_66 _let_76 _let_352 _let_85 _let_354 _let_194 _let_195 _let_357 _let_358 _let_359))) (let ((_let_378 (true _let_377))) (let ((_let_379 (_let_112 _let_181 _let_137 _let_184 _let_66 _let_76 _let_352 _let_85 _let_354 _let_194 _let_195 _let_357 _let_358 _let_359))) (let ((_let_380 (_let_112 _let_184 _let_359 _let_76 _let_181 _let_137 _let_352 _let_354 _let_357 _let_358 _let_194 _let_195 _let_66 _let_85))) (let ((_let_381 (ASSUME :args (_let_112)))) (let ((_let_382 (SYMM _let_381))) (let ((_let_383 (SYMM _let_382))) (let ((_let_384 (ASSUME :args (_let_359)))) (let ((_let_385 (SYMM (SYMM _let_384)))) (let ((_let_386 (SYMM _let_385))) (let ((_let_387 (CONG _let_291 _let_296 :args _let_197))) (let ((_let_388 (ASSUME :args (_let_352)))) (let ((_let_389 (SYMM _let_388))) (let ((_let_390 (SYMM _let_389))) (let ((_let_391 (TRANS _let_390 _let_387 _let_290))) (let ((_let_392 (REFL :args (_let_70)))) (let ((_let_393 (CONG _let_392 _let_391 :args _let_197))) (let ((_let_394 (ASSUME :args (_let_354)))) (let ((_let_395 (SYMM _let_394))) (let ((_let_396 (SYMM _let_395))) (let ((_let_397 (ASSUME :args (_let_357)))) (let ((_let_398 (CONG (SYMM _let_397) _let_204 :args _let_197))) (let ((_let_399 (ASSUME :args (_let_358)))) (let ((_let_400 (SYMM _let_399))) (let ((_let_401 (SYMM _let_400))) (let ((_let_402 (CONG (REFL :args (_let_355)) _let_295 :args _let_197))) (let ((_let_403 (TRANS _let_402 _let_401 _let_398 _let_396 _let_393 _let_296 _let_305))) (let ((_let_404 (TRANS _let_393 _let_296 _let_305))) (let ((_let_405 (SYMM _let_393))) (let ((_let_406 (TRANS _let_295 _let_405))) (let ((_let_407 (TRANS (CONG (TRANS _let_382 _let_406 _let_404) _let_291 :args _let_197) _let_221))) (let ((_let_408 (SYMM _let_402))) (let ((_let_409 (SYMM _let_398))) (let ((_let_410 (CONG _let_309 (TRANS _let_405 _let_395 _let_409 _let_400 _let_408) :args _let_197))) (let ((_let_411 (SYMM _let_301))) (let ((_let_412 (REFL :args (_let_52)))) (let ((_let_413 (CONG _let_412 _let_390 :args _let_197))) (let ((_let_414 (CONG _let_383 (SYMM _let_391) :args _let_197))) (let ((_let_415 (CONG _let_296 _let_204 :args _let_197))) (let ((_let_416 (SYMM _let_304))) (let ((_let_417 (CONG _let_411 _let_204 :args _let_197))) (let ((_let_418 (ASSUME :args (_let_66)))) (let ((_let_419 (SYMM _let_418))) (let ((_let_420 (SYMM _let_419))) (let ((_let_421 (AND_INTRO _let_381 _let_305 _let_384 _let_220 _let_295 _let_289 _let_388 _let_394 _let_397 _let_399 _let_299 _let_303 _let_418 _let_216))) (let ((_let_422 (CNF_AND_NEG :args (_let_377)))) (let ((_let_423 (not _let_66))) (let ((_let_424 (SYMM _let_383))) (let ((_let_425 (TRANS _let_424 _let_406 _let_404))) (let ((_let_426 (TRANS (CONG _let_425 _let_291 :args _let_197) _let_221))) (let ((_let_427 (CONG _let_426 _let_403 :args _let_197))) (let ((_let_428 (CONG _let_426 (TRANS _let_415 _let_414 _let_413 _let_411 _let_410 _let_427 _let_386) :args _let_197))) (let ((_let_429 (CONG _let_424 _let_204 :args _let_197))) (let ((_let_430 (CONG (TRANS _let_220 (TRANS _let_221 _let_420 _let_429 _let_414 _let_413 _let_411) _let_301) _let_204 :args _let_197))) (let ((_let_431 (CONG (TRANS _let_389 _let_391) _let_204 :args _let_197))) (let ((_let_432 (SYMM _let_430))) (let ((_let_433 (SYMM _let_417))) (let ((_let_434 (SYMM _let_428))) (let ((_let_435 (SYMM _let_387))) (let ((_let_436 (SYMM _let_410))) (let ((_let_437 (SYMM _let_427))) (let ((_let_438 (and _let_112 _let_181 _let_137 _let_184 _let_66 _let_76 _let_352 _let_85 _let_354 _let_194 _let_195 _let_357 _let_358 _let_362 _let_359))) (let ((_let_439 (CONG _let_383 _let_204 :args _let_197))) (let ((_let_440 (CONG _let_382 _let_391 :args _let_197))) (let ((_let_441 (CONG _let_412 _let_389 :args _let_197))) (let ((_let_442 (CONG _let_301 _let_204 :args _let_197))) (let ((_let_443 (CONG _let_309 (TRANS _let_402 _let_401 _let_398 _let_396 _let_393) :args _let_197))) (let ((_let_444 (TRANS _let_393 _let_296))) (let ((_let_445 (TRANS _let_306 _let_295 _let_405))) (let ((_let_446 (TRANS _let_220 (CONG (TRANS _let_445 _let_444 _let_383) _let_291 :args _let_197)))) (let ((_let_447 (CONG _let_446 (TRANS _let_306 _let_295 _let_405 _let_395 _let_409 _let_400 _let_408) :args _let_197))) (let ((_let_448 (CONG _let_446 (TRANS _let_385 _let_447 _let_443 _let_301 _let_441 _let_440 (CONG _let_295 _let_204 :args _let_197)) :args _let_197))) (let ((_let_449 (ASSUME :args (_let_362)))) (let ((_let_450 (REORDERING (CNF_OR_POS :args (_let_366)) :args ((or _let_365 _let_364 (not _let_366)))))) (let ((_let_451 (_let_369))) (let ((_let_452 (ASSUME :args _let_451))) (let ((_let_453 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_452 :args (tptp.sk_c10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.inverse X1)))) :args _let_451)))) (let ((_let_454 (_let_370))) (let ((_let_455 (ASSUME :args _let_454))) (let ((_let_456 (not _let_370))) (let ((_let_457 (ALPHA_EQUIV :args (_let_370 (= X6 X8))))) (let ((_let_458 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 _let_457) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_246 _let_241 _let_179 _let_369 _let_370 _let_178 _let_371))) _let_315 (REORDERING (EQUIV_ELIM1 _let_457) :args ((or _let_371 _let_456))) :args ((or _let_241 _let_179 _let_369 _let_178 _let_371) false _let_112 true _let_370)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_455 :args (tptp.sk_c10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.inverse X6)))) :args _let_454)) _let_453 (REORDERING (CNF_OR_POS :args (_let_368)) :args ((or _let_365 _let_367 (not _let_368)))) _let_450 (RESOLUTION (CNF_AND_NEG :args (_let_438)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_289 _let_295 _let_388 _let_216 _let_220 _let_418 _let_381 _let_299 _let_303 _let_305 _let_394 _let_397 _let_399 _let_384 _let_449) (SCOPE (TRANS _let_305 _let_385 _let_448 _let_304 _let_442 (SYMM (SYMM _let_449)) (CONG (TRANS _let_382 (SYMM _let_444) (SYMM _let_445) (TRANS _let_385 _let_447 _let_443 _let_301 _let_441 _let_440 _let_439 _let_419 _let_220) (TRANS _let_221 _let_418 (SYMM _let_439) (SYMM _let_440) (SYMM _let_441) _let_300 (SYMM _let_443) (SYMM _let_447) _let_448 _let_304 _let_442 (CONG (TRANS _let_300 (TRANS _let_301 _let_441 _let_440 _let_439 _let_419 _let_220) _let_221) _let_204 :args _let_197) _let_217 _let_289) _let_435 _let_389 _let_391) _let_431 :args _let_197)) :args (_let_137 _let_181 _let_352 _let_85 _let_76 _let_66 _let_112 _let_194 _let_195 _let_184 _let_354 _let_357 _let_358 _let_359 _let_362))) :args (_let_112 _let_181 _let_137 _let_184 _let_66 _let_76 _let_352 _let_85 _let_354 _let_194 _let_195 _let_357 _let_358 _let_362 _let_359))) :args (true _let_438)) _let_315 _let_376 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_148 :args (_let_52 _let_190 tptp.sk_c10 QUANTIFIERS_INST_E_MATCHING _let_149)) :args _let_147)) _let_148 :args (_let_362 false _let_62)) _let_375 _let_374 _let_280 _let_279 _let_373 _let_156 _let_372 _let_146 _let_143 (RESOLUTION _let_422 (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_421 (SCOPE (TRANS _let_218 _let_430 _let_417 _let_416 _let_428 _let_437 _let_436 _let_301 (CONG _let_425 (TRANS _let_387 _let_290 _let_218 _let_430 _let_417 _let_416 _let_428 _let_386 _let_306) :args _let_197) (CONG (TRANS (TRANS _let_385 _let_437 _let_436 _let_301 (SYMM _let_413) (SYMM _let_414) (SYMM _let_429) _let_419 _let_220) (TRANS _let_221 _let_420 _let_429 _let_414 _let_413 _let_411 _let_410 _let_427 _let_434 _let_304 _let_433 _let_432 _let_217 _let_289) _let_435) (TRANS _let_305 _let_385 _let_434 _let_304 _let_433 _let_432 _let_217) :args _let_197) _let_431 (CONG _let_204 (TRANS _let_218 _let_430 _let_417 _let_416 _let_428 _let_386 _let_306 _let_383) :args _let_197) (CONG _let_204 _let_424 :args _let_197)) :args _let_380)) :args _let_379)) :args _let_378) _let_315 _let_376 _let_375 _let_374 _let_280 _let_279 _let_373 _let_156 _let_372 _let_146 _let_143 (REORDERING (RESOLUTION _let_422 (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_305 _let_384 _let_220 _let_295 _let_289 _let_388 _let_381 _let_394 _let_397 _let_399 _let_299 _let_303 _let_418 _let_216) (SCOPE (TRANS _let_218 _let_430 _let_417 _let_416 _let_428 _let_386 _let_306 _let_383 (CONG (TRANS _let_218 _let_430 _let_417 _let_416 _let_428 _let_386) :args _let_251) (CONG _let_306 :args _let_251)) :args (_let_184 _let_359 _let_76 _let_181 _let_137 _let_352 _let_112 _let_354 _let_357 _let_358 _let_194 _let_195 _let_66 _let_85))) :args _let_379)) :args _let_378) :args ((or _let_171 _let_246 _let_182 _let_186 _let_185 _let_423 _let_236 (not _let_352) _let_234 (not _let_354) _let_283 _let_281 (not _let_357) (not _let_358) (not _let_359)))) _let_315 _let_376 _let_375 _let_374 _let_280 _let_279 _let_373 _let_156 _let_372 _let_146 _let_143 (RESOLUTION _let_422 (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_421 (SCOPE (TRANS _let_218 (CONG (TRANS _let_220 (TRANS _let_221 _let_420 (CONG _let_382 _let_204 :args _let_197) _let_414 _let_413 _let_411) _let_301) _let_204 :args _let_197) _let_417 _let_416 (CONG _let_407 (TRANS _let_415 _let_414 _let_413 _let_411 _let_410 (CONG _let_407 _let_403 :args _let_197) _let_386) :args _let_197) _let_386 _let_306 _let_383) :args _let_380)) :args _let_379)) :args _let_378) _let_315 _let_376 _let_375 _let_374 _let_280 _let_279 _let_373 _let_156 _let_372 _let_146 _let_143 _let_277 _let_276 _let_273 _let_274 _let_269 :args ((or _let_179 _let_178) false _let_371 true _let_370 true _let_369 true _let_368 true _let_366 false _let_363 false _let_112 false _let_359 false _let_362 false _let_358 false _let_357 false _let_195 false _let_194 false _let_354 false _let_85 false _let_352 false _let_76 false _let_66 false _let_361 false _let_112 false _let_359 false _let_358 false _let_357 false _let_195 false _let_194 false _let_354 false _let_85 false _let_352 false _let_76 false _let_66 false _let_171 false _let_112 false _let_359 false _let_358 false _let_357 false _let_195 false _let_194 false _let_354 false _let_85 false _let_352 false _let_76 false _let_66 false _let_360 false _let_112 false _let_359 false _let_358 false _let_357 false _let_195 false _let_194 false _let_354 false _let_85 false _let_352 false _let_76 false _let_66 false _let_184 false _let_137 true _let_187 false _let_181 true _let_183)))) (let ((_let_459 (MACRO_RESOLUTION_TRUST _let_458 _let_266 _let_262 _let_258 _let_257 _let_233 _let_156 _let_208 _let_146 _let_207 _let_206 _let_201 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_165 _let_132))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_164 _let_132))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_163 _let_132))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_162 _let_132))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_161 _let_132))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_21)) (MACRO_SR_EQ_INTRO :args (_let_21 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_160 _let_132))) _let_350 (MACRO_RESOLUTION_TRUST _let_233 _let_156 _let_208 _let_146 _let_207 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_30)) (MACRO_SR_EQ_INTRO :args (_let_30 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_165 _let_323))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_31)) (MACRO_SR_EQ_INTRO :args (_let_31 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_164 _let_323))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_32)) (MACRO_SR_EQ_INTRO :args (_let_32 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_163 _let_323))) _let_330 (MACRO_RESOLUTION_TRUST _let_233 _let_156 _let_208 _let_146 _let_207 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_37)) (MACRO_SR_EQ_INTRO :args (_let_37 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_165 _let_322))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_38)) (MACRO_SR_EQ_INTRO :args (_let_38 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_164 _let_322))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_39)) (MACRO_SR_EQ_INTRO :args (_let_39 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_163 _let_322))) :args ((or _let_322 _let_334 _let_170) false _let_85 false _let_169 false _let_76 false _let_168 false _let_165 false _let_164 false _let_163)) (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_336)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_337 _let_338 _let_343 _let_341 _let_346 _let_220 _let_216 _let_211) (SCOPE (FALSE_ELIM (TRANS (CONG _let_349 (TRANS _let_212 _let_218 _let_348 _let_340) :args _let_250) (FALSE_INTRO _let_337))) :args (_let_319 _let_121 _let_132 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:args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_142)) :args _let_141)) _let_140 :args (_let_73 false _let_139)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_140 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_142)) :args _let_141)) _let_140 :args (_let_71 false _let_139)) _let_145 _let_144 _let_143 :args (false true _let_138 false _let_137 false _let_136 false _let_135 false _let_134 false _let_133 false _let_132 false _let_131 false _let_130 false _let_129 false _let_128 false _let_127 false _let_126 false _let_125 false _let_124 false _let_122 false _let_121 false _let_119 false _let_118 false _let_117 false _let_116 false _let_115 false _let_114 false _let_113 false _let_112 false _let_111 false _let_109 false _let_106 false _let_103 false _let_102 false _let_101 false _let_100 false _let_98 false _let_95 false _let_91 false _let_90 false _let_87 false _let_85 false _let_84 false _let_81 false _let_76 false _let_73 false _let_71 false _let_69 false _let_67 false _let_66)) :args (_let_64 _let_63 _let_62 _let_61 _let_60 _let_59 _let_58 _let_57 _let_56 _let_55 _let_54 (or _let_51 _let_26) (or _let_51 _let_23) (or _let_51 _let_20) (or _let_51 _let_17) (or _let_51 _let_14) (or _let_51 _let_11) (or _let_51 _let_8) (or _let_51 _let_3) _let_49 _let_48 (or _let_47 _let_20) (or _let_47 _let_17) (or _let_47 _let_14) (or _let_47 _let_11) (or _let_47 _let_8) (or _let_47 _let_3) _let_45 _let_44 (or _let_43 _let_20) (or _let_43 _let_17) (or _let_43 _let_14) (or _let_43 _let_11) (or _let_43 _let_8) (or _let_43 _let_3) _let_41 _let_40 (or _let_36 _let_20) (or _let_36 _let_17) (or _let_36 _let_14) _let_39 _let_38 _let_37 _let_34 _let_33 (or _let_29 _let_20) (or _let_29 _let_17) (or _let_29 _let_14) _let_32 _let_31 _let_30 _let_27 _let_24 _let_21 _let_18 _let_15 _let_12 _let_9 _let_6 _let_1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 1.27/1.47  )
% 1.27/1.48  % SZS output end Proof for GRP240-1
% 1.27/1.48  % cvc5---1.0.5 exiting
% 1.32/1.49  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------