TSTP Solution File: GRP218-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP218-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n002.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 00:25:13 EDT 2023
% Result : Unsatisfiable 0.55s 0.77s
% Output : Proof 0.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13 % Problem : GRP218-1 : TPTP v8.1.2. Released v2.5.0.
% 0.10/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n002.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 23:28:34 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.49 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.7T7HFgWWMW/cvc5---1.0.5_14131.p...
% 0.20/0.50 ------- get file name : TPTP file name is GRP218-1
% 0.20/0.50 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_14131.smt2...
% 0.20/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.55/0.77 % SZS status Unsatisfiable for GRP218-1
% 0.55/0.77 % SZS output start Proof for GRP218-1
% 0.55/0.78 (
% 0.55/0.78 (let ((_let_1 (forall ((X4 $$unsorted) (X5 $$unsorted) (X6 $$unsorted) (X7 $$unsorted) (X8 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted)) (or (not (= (tptp.inverse X4) tptp.sk_c10)) (not (= (tptp.multiply X4 tptp.sk_c9) tptp.sk_c10)) (not (= (tptp.multiply X5 X6) tptp.sk_c9)) (not (= (tptp.inverse X5) X6)) (not (= (tptp.multiply X6 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)) (not (= (tptp.inverse X1) tptp.sk_c10)) (not (= (tptp.multiply X1 tptp.sk_c9) tptp.sk_c10)) (not (= (tptp.multiply tptp.sk_c10 X2) tptp.sk_c9)) (not (= (tptp.multiply X3 tptp.sk_c10) X2)) (not (= (tptp.inverse X3) 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_c4))) (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_c9))) (let ((_let_14 (= _let_13 tptp.sk_c10))) (let ((_let_15 (or _let_5 _let_14))) (let ((_let_16 (tptp.inverse tptp.sk_c6))) (let ((_let_17 (= _let_16 tptp.sk_c10))) (let ((_let_18 (or _let_5 _let_17))) (let ((_let_19 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (let ((_let_20 (= _let_19 tptp.sk_c5))) (let ((_let_21 (or _let_20 _let_3))) (let ((_let_22 (or _let_20 _let_8))) (let ((_let_23 (or _let_20 _let_11))) (let ((_let_24 (or _let_20 _let_14))) (let ((_let_25 (or _let_20 _let_17))) (let ((_let_26 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (let ((_let_27 (= _let_26 tptp.sk_c9))) (let ((_let_28 (or _let_27 _let_3))) (let ((_let_29 (or _let_27 _let_8))) (let ((_let_30 (or _let_27 _let_11))) (let ((_let_31 (or _let_27 _let_14))) (let ((_let_32 (or _let_27 _let_17))) (let ((_let_33 (tptp.multiply tptp.sk_c3 tptp.sk_c10))) (let ((_let_34 (= _let_33 tptp.sk_c9))) (let ((_let_35 (or _let_34 _let_14))) (let ((_let_36 (or _let_34 _let_17))) (let ((_let_37 (tptp.inverse tptp.sk_c2))) (let ((_let_38 (= _let_37 tptp.sk_c3))) (let ((_let_39 (or _let_38 _let_14))) (let ((_let_40 (or _let_38 _let_17))) (let ((_let_41 (tptp.multiply tptp.sk_c2 tptp.sk_c3))) (let ((_let_42 (= _let_41 tptp.sk_c9))) (let ((_let_43 (or _let_42 _let_14))) (let ((_let_44 (or _let_42 _let_17))) (let ((_let_45 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) (let ((_let_46 (= _let_45 tptp.sk_c10))) (let ((_let_47 (or _let_46 _let_14))) (let ((_let_48 (or _let_46 _let_17))) (let ((_let_49 (tptp.inverse tptp.sk_c1))) (let ((_let_50 (= _let_49 tptp.sk_c10))) (let ((_let_51 (or _let_50 _let_14))) (let ((_let_52 (or _let_50 _let_17))) (let ((_let_53 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))) (let ((_let_54 (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity)))) (let ((_let_55 (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)))) (let ((_let_56 (forall ((X5 $$unsorted)) (let ((_let_1 (tptp.inverse X5))) (or (not (= tptp.sk_c9 (tptp.multiply X5 _let_1))) (not (= tptp.sk_c9 (tptp.multiply _let_1 tptp.sk_c10)))))))) (let ((_let_57 (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.inverse X1))) (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c9))))))) (let ((_let_58 (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.inverse X4))) (not (= tptp.sk_c10 (tptp.multiply X4 tptp.sk_c9))))))) (let ((_let_59 (forall ((X8 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c10 (tptp.multiply X8 tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.inverse X8))))))) (let ((_let_60 (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c10 (tptp.multiply X3 tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.inverse X3))))))) (let ((_let_61 (= tptp.sk_c9 (tptp.multiply _let_37 tptp.sk_c10)))) (let ((_let_62 (not _let_61))) (let ((_let_63 (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 _let_37)))) (let ((_let_64 (not _let_63))) (let ((_let_65 (or _let_64 _let_62))) (let ((_let_66 (not _let_65))) (let ((_let_67 (= tptp.sk_c9 _let_33))) (let ((_let_68 (= tptp.sk_c3 _let_37))) (let ((_let_69 (= tptp.sk_c10 _let_13))) (let ((_let_70 (not _let_69))) (let ((_let_71 (= tptp.sk_c10 _let_16))) (let ((_let_72 (not _let_71))) (let ((_let_73 (or _let_72 _let_70))) (let ((_let_74 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.sk_c9))) (let ((_let_75 (= tptp.sk_c10 _let_74))) (let ((_let_76 (not _let_75))) (let ((_let_77 (tptp.inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_78 (= tptp.sk_c10 _let_77))) (let ((_let_79 (not _let_78))) (let ((_let_80 (or _let_79 _let_76))) (let ((_let_81 (= tptp.sk_c9 _let_26))) (let ((_let_82 (= tptp.sk_c9 _let_10))) (let ((_let_83 (= tptp.sk_c8 _let_7))) (let ((_let_84 (= tptp.sk_c10 _let_2))) (let ((_let_85 (= tptp.sk_c9 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_77)))) (let ((_let_86 (= tptp.identity (tptp.multiply _let_2 tptp.sk_c7)))) (let ((_let_87 (tptp.multiply _let_77 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_88 (= tptp.identity _let_87))) (let ((_let_89 (tptp.multiply tptp.sk_c10 _let_7))) (let ((_let_90 (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c7) tptp.sk_c10) _let_89))) (let ((_let_91 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) (let ((_let_92 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.sk_c10))) (let ((_let_93 (= (tptp.multiply _let_87 tptp.sk_c10) (tptp.multiply _let_77 _let_92)))) (let ((_let_94 (= tptp.sk_c9 (tptp.multiply _let_77 tptp.sk_c10)))) (let ((_let_95 (not _let_94))) (let ((_let_96 (not _let_85))) (let ((_let_97 (or _let_96 _let_95))) (let ((_let_98 (= (tptp.multiply (tptp.multiply tptp.sk_c7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) tptp.sk_c9) (tptp.multiply tptp.sk_c7 _let_74)))) (let ((_let_99 (= tptp.sk_c9 _let_89))) (let ((_let_100 (not _let_84))) (let ((_let_101 (not _let_99))) (let ((_let_102 (or _let_101 _let_100))) (let ((_let_103 (= tptp.sk_c10 _let_49))) (let ((_let_104 (= tptp.sk_c10 _let_45))) (let ((_let_105 (= tptp.sk_c9 _let_41))) (let ((_let_106 (= tptp.sk_c5 _let_19))) (let ((_let_107 (= tptp.sk_c10 _let_4))) (let ((_let_108 (not _let_104))) (let ((_let_109 (not _let_103))) (let ((_let_110 (or _let_109 _let_108))) (let ((_let_111 (= tptp.sk_c9 (tptp.multiply tptp.sk_c10 _let_19)))) (let ((_let_112 (not _let_107))) (let ((_let_113 (not _let_111))) (let ((_let_114 (or _let_113 _let_112))) (let ((_let_115 (not _let_73))) (let ((_let_116 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_31)) (MACRO_SR_EQ_INTRO :args (_let_31 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_69 _let_81))))) (let ((_let_117 (_let_73))) (let ((_let_118 (REORDERING (CNF_OR_POS :args _let_117) :args ((or _let_72 _let_70 _let_115))))) (let ((_let_119 (not _let_110))) (let ((_let_120 (REORDERING (CNF_OR_POS :args (_let_110)) :args ((or _let_109 _let_108 _let_119))))) (let ((_let_121 (_let_58))) (let ((_let_122 ((tptp.inverse X4)))) (let ((_let_123 (ASSUME :args _let_121))) (let ((_let_124 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_123 :args (tptp.sk_c1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_122)) :args _let_121)))) (let ((_let_125 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_58 (= X4 X1)))))) (let ((_let_126 (and _let_105 _let_68))) (let ((_let_127 (APPLY_UF tptp.multiply))) (let ((_let_128 (ASSUME :args (_let_68)))) (let ((_let_129 (SYMM (SYMM _let_128)))) (let ((_let_130 (ASSUME :args (_let_105)))) (let ((_let_131 (RESOLUTION (CNF_AND_NEG :args (_let_126)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_128 _let_130) (SCOPE (TRANS (SYMM (SYMM _let_130)) (CONG (REFL :args (tptp.sk_c2)) _let_129 :args _let_127)) :args (_let_68 _let_105))) :args (_let_105 _let_68))) :args (true _let_126)))) (let ((_let_132 (and _let_68 _let_67))) (let ((_let_133 (_let_68 _let_67))) (let ((_let_134 (REFL :args (tptp.sk_c10)))) (let ((_let_135 (ASSUME :args (_let_67)))) (let ((_let_136 (RESOLUTION (CNF_AND_NEG :args (_let_132)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_128 _let_135) (SCOPE (TRANS (SYMM (SYMM _let_135)) (CONG _let_129 _let_134 :args _let_127)) :args _let_133)) :args _let_133)) :args (true _let_132)))) (let ((_let_137 (and _let_81 _let_106))) (let ((_let_138 (ASSUME :args (_let_106)))) (let ((_let_139 (ASSUME :args (_let_81)))) (let ((_let_140 (SYMM _let_139))) (let ((_let_141 (RESOLUTION (CNF_AND_NEG :args (_let_137)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_138 _let_139) (SCOPE (TRANS (SYMM _let_140) (CONG _let_134 (SYMM (SYMM _let_138)) :args _let_127)) :args (_let_106 _let_81))) :args (_let_81 _let_106))) :args (true _let_137)))) (let ((_let_142 (REORDERING (CNF_OR_POS :args (_let_65)) :args ((or _let_64 _let_62 _let_66))))) (let ((_let_143 (not _let_114))) (let ((_let_144 (REORDERING (CNF_OR_POS :args (_let_114)) :args ((or _let_112 _let_113 _let_143))))) (let ((_let_145 (_let_56))) (let ((_let_146 ((tptp.inverse X5)))) (let ((_let_147 (ASSUME :args _let_145))) (let ((_let_148 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_147 :args (tptp.sk_c2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_146)) :args _let_145)))) (let ((_let_149 (_let_59))) (let ((_let_150 ((tptp.multiply X8 tptp.sk_c10)))) (let ((_let_151 (ASSUME :args _let_149))) (let ((_let_152 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_151 :args (tptp.sk_c4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_150)) :args _let_149)))) (let ((_let_153 (ALPHA_EQUIV :args (_let_59 (= X8 X3))))) (let ((_let_154 (EQUIV_ELIM2 _let_153))) (let ((_let_155 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_58 _let_57 _let_56 _let_59 _let_60))))) (let ((_let_156 (MACRO_RESOLUTION_TRUST _let_155 _let_154 _let_152 _let_148 _let_144 _let_142 _let_141 _let_136 _let_131 _let_125 _let_124 _let_120 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_71 _let_107))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_25)) (MACRO_SR_EQ_INTRO :args (_let_25 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_71 _let_106))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_36)) (MACRO_SR_EQ_INTRO :args (_let_36 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_71 _let_67))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_40)) (MACRO_SR_EQ_INTRO :args (_let_40 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_71 _let_68))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_44)) (MACRO_SR_EQ_INTRO :args (_let_44 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_71 _let_105))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_48)) (MACRO_SR_EQ_INTRO :args (_let_48 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_71 _let_104))) (EQ_RESOLVE (ASSUME :args (_let_52)) (MACRO_SR_EQ_INTRO :args (_let_52 SB_DEFAULT SBA_FIXPOINT))) _let_118 (MACRO_RESOLUTION_TRUST _let_118 _let_116 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_32)) (MACRO_SR_EQ_INTRO :args (_let_32 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_71 _let_81))) :args ((or _let_81 _let_115) false _let_69 false _let_71)) :args ((or _let_70 _let_115) true _let_60 true _let_59 true _let_56 true _let_114 true _let_65 false _let_111 false _let_61 false _let_63 true _let_57 true _let_58 true _let_110 false _let_107 false _let_106 false _let_67 false _let_68 false _let_105 false _let_104 false _let_103 true _let_71 false _let_81)))) (let ((_let_157 (or))) (let ((_let_158 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_73 0)) (CONG (REFL :args _let_117) (MACRO_SR_PRED_INTRO :args ((= (not _let_72) _let_71))) :args _let_157)) :args ((or _let_71 _let_73))))) (let ((_let_159 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_123 :args (tptp.sk_c6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_122)) :args _let_121)))) (let ((_let_160 (not _let_58))) (let ((_let_161 (_let_160))) (let ((_let_162 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_161)) :args _let_161)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_160) _let_58))) (REFL :args ((not _let_80))) :args _let_157)))) (let ((_let_163 (REFL :args (_let_80)))) (let ((_let_164 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_80 0)) (CONG _let_163 (MACRO_SR_PRED_INTRO :args ((= (not _let_79) _let_78))) :args _let_157)) :args ((or _let_78 _let_80))))) (let ((_let_165 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_80 1)) (CONG _let_163 (MACRO_SR_PRED_INTRO :args ((= (not _let_76) _let_75))) :args _let_157)) :args ((or _let_75 _let_80))))) (let ((_let_166 (not _let_81))) (let ((_let_167 (tptp.inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_168 (= tptp.sk_c10 _let_167))) (let ((_let_169 (not _let_168))) (let ((_let_170 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.sk_c10))) (let ((_let_171 (tptp.multiply tptp.sk_c10 _let_170))) (let ((_let_172 (= tptp.sk_c9 _let_171))) (let ((_let_173 (not _let_172))) (let ((_let_174 (or _let_173 _let_169))) (let ((_let_175 (= tptp.sk_c9 (tptp.multiply _let_16 tptp.sk_c10)))) (let ((_let_176 (not _let_175))) (let ((_let_177 (= tptp.sk_c9 (tptp.multiply tptp.sk_c6 _let_16)))) (let ((_let_178 (not _let_177))) (let ((_let_179 (or _let_178 _let_176))) (let ((_let_180 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.multiply tptp.sk_c9 _let_170)))) (let ((_let_181 (= (tptp.multiply _let_74 _let_170) _let_180))) (let ((_let_182 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_183 (tptp.multiply _let_182 tptp.sk_c9))) (let ((_let_184 (= _let_183 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_74)))) (let ((_let_185 (tptp.multiply tptp.sk_c10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_186 (= _let_171 (tptp.multiply _let_185 tptp.sk_c10)))) (let ((_let_187 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_171))) (let ((_let_188 (= (tptp.multiply _let_92 _let_170) _let_187))) (let ((_let_189 (= (tptp.multiply _let_87 _let_171) (tptp.multiply _let_77 _let_187)))) (let ((_let_190 (tptp.multiply _let_185 _let_187))) (let ((_let_191 (tptp.multiply _let_185 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_192 (= (tptp.multiply _let_191 _let_171) _let_190))) (let ((_let_193 (= (tptp.multiply _let_182 _let_180) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_180))))) (let ((_let_194 (= _let_190 (tptp.multiply tptp.sk_c10 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_187))))) (let ((_let_195 (= (tptp.multiply tptp.sk_c10 _let_182) _let_191))) (let ((_let_196 (= (tptp.multiply _let_185 _let_77) (tptp.multiply tptp.sk_c10 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_77))))) (let ((_let_197 (tptp.multiply _let_187 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_198 (= (tptp.multiply _let_197 _let_171) (tptp.multiply (tptp.multiply _let_197 tptp.sk_c10) _let_170)))) (let ((_let_199 (= (tptp.multiply 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((_let_328 (and _let_82 _let_83 _let_84 _let_75 _let_86 _let_88 _let_90 _let_91 _let_93))) (let ((_let_329 (ASSUME :args (_let_93)))) (let ((_let_330 (and _let_71 _let_69 _let_82 _let_83 _let_78 _let_75 _let_98))) (let ((_let_331 (TRANS (CONG _let_279 (TRANS _let_310 _let_308) :args _let_127) _let_281))) (let ((_let_332 (MACRO_RESOLUTION_TRUST _let_155 _let_154 _let_293 _let_294 (RESOLUTION (CNF_AND_NEG :args (_let_330)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_243 _let_234 _let_301 _let_280 _let_307 _let_231 _let_304) (SCOPE (TRANS _let_307 (CONG (SYMM _let_331) _let_309 :args _let_127) (CONG _let_331 _let_306 :args _let_127) _let_303 _let_299) :args (_let_78 _let_75 _let_98 _let_69 _let_82 _let_71 _let_83))) :args (_let_71 _let_69 _let_82 _let_83 _let_78 _let_75 _let_98))) :args (true _let_330)) _let_295 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_147 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_146)) :args _let_145)) (REORDERING (CNF_OR_POS :args (_let_97)) :args ((or _let_96 _let_95 (not _let_97)))) (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_328)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_234 _let_307 _let_304 _let_322 _let_324 _let_325 _let_265 _let_267 _let_329) (SCOPE (TRANS _let_307 (SYMM _let_321) _let_323 (SYMM _let_326) (CONG _let_265 _let_134 :args _let_127) (SYMM (SYMM _let_329)) (CONG (REFL :args (_let_77)) (TRANS (CONG _let_238 _let_327 :args _let_127) _let_235) :args _let_127)) :args (_let_75 _let_82 _let_83 _let_90 _let_84 _let_86 _let_88 _let_91 _let_93))) :args (_let_82 _let_83 _let_84 _let_75 _let_86 _let_88 _let_90 _let_91 _let_93))) :args (true _let_328)) :args ((or _let_314 _let_313 _let_100 _let_76 _let_94 _let_318 _let_229 _let_317 _let_226 (not _let_93)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_210 :args (_let_77 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.sk_c10 QUANTIFIERS_INST_E_MATCHING _let_211)) :args _let_209)) _let_210 :args (_let_93 false _let_53)) _let_217 _let_316 _let_208 _let_315 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_319)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_320 _let_307 _let_304 _let_322 _let_324 _let_325 _let_265 _let_267 _let_243) (SCOPE (FALSE_ELIM (TRANS (CONG _let_327 (TRANS (CONG _let_238 (SYMM _let_327) :args _let_127) (CONG _let_238 (SYMM _let_244) :args _let_127)) :args (=)) (FALSE_INTRO _let_320))) :args (_let_96 _let_82 _let_83 _let_90 _let_84 _let_86 _let_88 _let_91 _let_78))) :args (_let_82 _let_83 _let_84 _let_78 _let_86 _let_88 _let_90 _let_96 _let_91))) :args (true _let_319)) (CONG (REFL :args (_let_314)) (REFL :args (_let_313)) (REFL :args (_let_100)) (REFL :args (_let_79)) (REFL :args (_let_318)) (REFL :args (_let_229)) (REFL :args (_let_317)) (MACRO_SR_PRED_INTRO :args ((= (not _let_96) _let_85))) (REFL :args (_let_226)) (REFL :args (_let_76)) :args _let_157)) :args ((or _let_314 _let_313 _let_100 _let_79 _let_76 _let_85 _let_318 _let_229 _let_317 _let_226))) _let_217 _let_316 _let_208 _let_315 _let_165 _let_164 :args ((or _let_314 _let_313 _let_100 _let_80 _let_85) false _let_91 false _let_90 false _let_88 false _let_86 false _let_75 false _let_78)) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_28)) (MACRO_SR_EQ_INTRO :args (_let_28 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_84 _let_81))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_29)) (MACRO_SR_EQ_INTRO :args (_let_29 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_83 _let_81))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_30)) (MACRO_SR_EQ_INTRO :args (_let_30 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_82 _let_81))) (MACRO_RESOLUTION_TRUST _let_294 _let_312 _let_295 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_84 _let_107))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_83 _let_107))) (REORDERING (EQ_RESOLVE (ASSUME 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_let_156 :args ((or _let_70 _let_166) false _let_99 false _let_98 false _let_84 false _let_83 false _let_82 true _let_107 false _let_111 false _let_106 false _let_114 false _let_102 false _let_59 false _let_60 false _let_71 false _let_78 false _let_75 true _let_80 true _let_58 true _let_73)) _let_165 _let_164 _let_162 _let_125 _let_159 _let_158 _let_156 :args (_let_70 true _let_60 true _let_59 true _let_102 false _let_99 false _let_98 true _let_56 true _let_97 false _let_94 false _let_93 false _let_91 false _let_90 false _let_88 false _let_86 false _let_85 false _let_84 false _let_83 false _let_82 true _let_81 false _let_75 false _let_78 true _let_80 true _let_57 true _let_58 false _let_71 true _let_73)))) (let ((_let_333 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (ASSUME :args (_let_39)) (MACRO_SR_EQ_INTRO :args (_let_39 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_69 _let_68))) _let_332 :args (_let_68 true _let_69)))) (let ((_let_334 (MACRO_RESOLUTION_TRUST _let_124 (MACRO_RESOLUTION_TRUST _let_120 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_51)) (MACRO_SR_EQ_INTRO :args (_let_51 SB_DEFAULT SBA_FIXPOINT))) _let_332 :args (_let_103 true _let_69)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (ASSUME :args (_let_47)) (MACRO_SR_EQ_INTRO :args (_let_47 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_69 _let_104))) _let_332 :args (_let_104 true _let_69)) :args (_let_119 false _let_103 false _let_104)) :args (_let_160 true _let_110)))) (let ((_let_335 (MACRO_RESOLUTION_TRUST _let_152 (MACRO_RESOLUTION_TRUST _let_144 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_69 _let_107))) _let_332 :args (_let_107 true _let_69)) (MACRO_RESOLUTION_TRUST _let_141 (MACRO_RESOLUTION_TRUST _let_116 _let_332 :args (_let_81 true _let_69)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (ASSUME :args (_let_24)) (MACRO_SR_EQ_INTRO :args (_let_24 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_69 _let_106))) _let_332 :args (_let_106 true _let_69)) :args (_let_111 false _let_81 false _let_106)) :args (_let_143 false _let_107 false _let_111)) :args (_let_201 true _let_114)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_155 (MACRO_RESOLUTION_TRUST _let_154 _let_335 :args ((not _let_60) true _let_59)) _let_335 _let_334 (MACRO_RESOLUTION_TRUST _let_125 _let_334 :args ((not _let_57) true _let_58)) (MACRO_RESOLUTION_TRUST _let_148 (MACRO_RESOLUTION_TRUST _let_142 (MACRO_RESOLUTION_TRUST _let_131 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (ASSUME :args (_let_43)) (MACRO_SR_EQ_INTRO :args (_let_43 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_69 _let_105))) _let_332 :args (_let_105 true _let_69)) _let_333 :args (_let_63 false _let_105 false _let_68)) (MACRO_RESOLUTION_TRUST _let_136 _let_333 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (ASSUME :args (_let_35)) (MACRO_SR_EQ_INTRO :args (_let_35 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_69 _let_67))) _let_332 :args (_let_67 true _let_69)) :args (_let_61 false _let_68 false _let_67)) :args (_let_66 false _let_63 false _let_61)) :args ((not _let_56) true _let_65)) :args (false true _let_60 true _let_59 true _let_58 true _let_57 true _let_56)) :args (_let_55 _let_54 _let_53 _let_52 _let_51 (or _let_50 _let_11) (or _let_50 _let_8) (or _let_50 _let_3) _let_48 _let_47 (or _let_46 _let_11) (or _let_46 _let_8) (or _let_46 _let_3) _let_44 _let_43 (or _let_42 _let_11) (or _let_42 _let_8) (or _let_42 _let_3) _let_40 _let_39 (or _let_38 _let_11) (or _let_38 _let_8) (or _let_38 _let_3) _let_36 _let_35 (or _let_34 _let_11) (or _let_34 _let_8) (or _let_34 _let_3) _let_32 _let_31 _let_30 _let_29 _let_28 _let_25 _let_24 _let_23 _let_22 _let_21 _let_18 _let_15 _let_12 _let_9 _let_6 _let_1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.55/0.78 )
% 0.55/0.78 % SZS output end Proof for GRP218-1
% 0.55/0.79 % cvc5---1.0.5 exiting
% 0.55/0.79 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------