TSTP Solution File: GRP233-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP233-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n011.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 00:25:16 EDT 2023
% Result : Unsatisfiable 2.01s 2.28s
% Output : Proof 2.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP233-1 : TPTP v8.1.2. Released v2.5.0.
% 0.10/0.14 % Command : do_cvc5 %s %d
% 0.12/0.35 % Computer : n011.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Mon Aug 28 23:56:41 EDT 2023
% 0.12/0.35 % CPUTime :
% 0.19/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.19/0.49 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.jD5WHbb508/cvc5---1.0.5_22051.p...
% 0.19/0.49 ------- get file name : TPTP file name is GRP233-1
% 0.19/0.49 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_22051.smt2...
% 0.19/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 2.01/2.28 % SZS status Unsatisfiable for GRP233-1
% 2.01/2.28 % SZS output start Proof for GRP233-1
% 2.01/2.30 (
% 2.01/2.30 (let ((_let_1 (forall ((X4 $$unsorted) (X5 $$unsorted) (X6 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted)) (or (not (= (tptp.inverse tptp.sk_c8) tptp.sk_c7)) (not (= (tptp.multiply X4 tptp.sk_c8) tptp.sk_c7)) (not (= (tptp.inverse X4) tptp.sk_c8)) (not (= (tptp.multiply tptp.sk_c8 X5) tptp.sk_c7)) (not (= (tptp.multiply X6 tptp.sk_c8) X5)) (not (= (tptp.inverse X6) tptp.sk_c8)) (not (= (tptp.inverse X1) tptp.sk_c8)) (not (= (tptp.multiply X1 tptp.sk_c7) tptp.sk_c8)) (not (= (tptp.multiply tptp.sk_c8 X2) tptp.sk_c7)) (not (= (tptp.multiply X3 tptp.sk_c8) X2)) (not (= (tptp.inverse X3) tptp.sk_c8)))))) (let ((_let_2 (tptp.inverse tptp.sk_c5))) (let ((_let_3 (= _let_2 tptp.sk_c8))) (let ((_let_4 (tptp.inverse tptp.sk_c2))) (let ((_let_5 (= _let_4 tptp.sk_c8))) (let ((_let_6 (or _let_5 _let_3))) (let ((_let_7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (let ((_let_8 (= _let_7 tptp.sk_c6))) (let ((_let_9 (or _let_5 _let_8))) (let ((_let_10 (tptp.multiply tptp.sk_c8 tptp.sk_c6))) (let ((_let_11 (= _let_10 tptp.sk_c7))) (let ((_let_12 (or _let_5 _let_11))) (let ((_let_13 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (let ((_let_14 (= _let_13 tptp.sk_c8))) (let ((_let_15 (tptp.inverse tptp.sk_c4))) (let ((_let_16 (= _let_15 tptp.sk_c8))) (let ((_let_17 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (let ((_let_18 (= _let_17 tptp.sk_c3))) (let ((_let_19 (or _let_18 _let_3))) (let ((_let_20 (or _let_18 _let_8))) (let ((_let_21 (or _let_18 _let_11))) (let ((_let_22 (tptp.multiply tptp.sk_c8 tptp.sk_c3))) (let ((_let_23 (= _let_22 tptp.sk_c7))) (let ((_let_24 (or _let_23 _let_3))) (let ((_let_25 (or _let_23 _let_8))) (let ((_let_26 (or _let_23 _let_11))) (let ((_let_27 (tptp.inverse tptp.sk_c1))) (let ((_let_28 (= _let_27 tptp.sk_c8))) (let ((_let_29 (or _let_28 _let_3))) (let ((_let_30 (or _let_28 _let_8))) (let ((_let_31 (or _let_28 _let_11))) (let ((_let_32 (or _let_28 _let_14))) (let ((_let_33 (or _let_28 _let_16))) (let ((_let_34 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (let ((_let_35 (= _let_34 tptp.sk_c7))) (let ((_let_36 (or _let_35 _let_3))) (let ((_let_37 (or _let_35 _let_8))) (let ((_let_38 (or _let_35 _let_11))) (let ((_let_39 (or _let_35 _let_14))) (let ((_let_40 (or _let_35 _let_16))) (let ((_let_41 (tptp.inverse tptp.sk_c8))) (let ((_let_42 (= _let_41 tptp.sk_c7))) (let ((_let_43 (or _let_42 _let_3))) (let ((_let_44 (or _let_42 _let_8))) (let ((_let_45 (or _let_42 _let_11))) (let ((_let_46 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))) (let ((_let_47 (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity)))) (let ((_let_48 (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)))) (let ((_let_49 (= tptp.sk_c8 _let_13))) (let ((_let_50 (not _let_49))) (let ((_let_51 (= tptp.sk_c8 _let_15))) (let ((_let_52 (not _let_51))) (let ((_let_53 (or _let_52 _let_50))) (let ((_let_54 (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.inverse X1))) (not (= tptp.sk_c8 (tptp.multiply X1 tptp.sk_c7))))))) (let ((_let_55 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.sk_c7))) (let ((_let_56 (= tptp.sk_c8 _let_55))) (let ((_let_57 (not _let_56))) (let ((_let_58 (tptp.inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_59 (= tptp.sk_c8 _let_58))) (let ((_let_60 (not _let_59))) (let ((_let_61 (or _let_60 _let_57))) (let ((_let_62 (= tptp.sk_c6 _let_7))) (let ((_let_63 (= tptp.sk_c7 _let_41))) (let ((_let_64 (= tptp.sk_c7 _let_34))) (let ((_let_65 (= tptp.sk_c8 _let_27))) (let ((_let_66 (= tptp.sk_c7 _let_22))) (let ((_let_67 (= tptp.sk_c3 _let_17))) (let ((_let_68 (= tptp.sk_c8 _let_4))) (let ((_let_69 (not _let_65))) (let ((_let_70 (not _let_64))) (let ((_let_71 (or _let_70 _let_69))) (let ((_let_72 (tptp.multiply tptp.sk_c8 _let_17))) (let ((_let_73 (= tptp.sk_c7 _let_72))) (let ((_let_74 (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X4))))))) (let ((_let_75 (not _let_68))) (let ((_let_76 (not _let_73))) (let ((_let_77 (or _let_76 _let_75))) (let ((_let_78 (tptp.inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_79 (= tptp.sk_c8 _let_78))) (let ((_let_80 (not _let_79))) (let ((_let_81 (= tptp.sk_c7 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.sk_c8)))) (let ((_let_82 (not _let_81))) (let ((_let_83 (or _let_82 _let_80))) (let ((_let_84 (forall ((X6 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 (tptp.multiply X6 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse X6))))))) (let ((_let_85 (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 (tptp.multiply X3 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse X3))))))) (let ((_let_86 (= tptp.identity (tptp.multiply _let_4 tptp.sk_c2)))) (let ((_let_87 (= tptp.identity (tptp.multiply _let_78 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_88 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) (let ((_let_89 (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c2) tptp.sk_c8) _let_72))) (let ((_let_90 (= tptp.sk_c8 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.sk_c7)))) (let ((_let_91 (not _let_90))) (let ((_let_92 (or _let_80 _let_91))) (let ((_let_93 (REORDERING (CNF_OR_POS :args (_let_71)) :args ((or _let_70 _let_69 (not _let_71)))))) (let ((_let_94 (and _let_66 _let_67))) (let ((_let_95 (APPLY_UF tptp.multiply))) (let ((_let_96 (ASSUME :args (_let_67)))) (let ((_let_97 (SYMM _let_96))) (let ((_let_98 (REFL :args (tptp.sk_c8)))) (let ((_let_99 (ASSUME :args (_let_66)))) (let ((_let_100 (SYMM _let_99))) (let ((_let_101 (RESOLUTION (CNF_AND_NEG :args (_let_94)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_96 _let_99) (SCOPE (TRANS (SYMM _let_100) (CONG _let_98 (SYMM _let_97) :args _let_95)) :args (_let_67 _let_66))) :args (_let_66 _let_67))) :args (true _let_94)))) (let ((_let_102 (_let_74))) (let ((_let_103 ((tptp.multiply X4 tptp.sk_c8)))) (let ((_let_104 (ASSUME :args _let_102))) (let ((_let_105 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (tptp.sk_c1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_103)) :args _let_102)))) (let ((_let_106 (REORDERING (CNF_OR_POS :args (_let_77)) :args ((or _let_75 _let_76 (not _let_77)))))) (let ((_let_107 (or))) (let ((_let_108 (not _let_74))) (let ((_let_109 (_let_108))) (let ((_let_110 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_109)) :args _let_109)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_108) _let_74))) (REFL :args ((not _let_83))) :args _let_107)))) (let ((_let_111 (_let_84))) (let ((_let_112 ((tptp.multiply X6 tptp.sk_c8)))) (let ((_let_113 (ASSUME :args _let_111))) (let ((_let_114 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args (tptp.sk_c2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_112)) :args _let_111)))) (let ((_let_115 (REFL :args (_let_83)))) (let ((_let_116 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_83 0)) (CONG _let_115 (MACRO_SR_PRED_INTRO :args ((= (not _let_82) _let_81))) :args _let_107)) :args ((or _let_81 _let_83))))) (let ((_let_117 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_83 1)) (CONG _let_115 (MACRO_SR_PRED_INTRO :args ((= (not _let_80) _let_79))) :args _let_107)) :args ((or _let_79 _let_83))))) (let ((_let_118 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_84 (= X6 X3)))))) (let ((_let_119 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))) :args ((or (not _let_63) _let_74 _let_54 _let_84 _let_85))))) (let ((_let_120 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))) (let ((_let_121 (EQ_RESOLVE (ASSUME :args (_let_47)) (MACRO_SR_EQ_INTRO :args (_let_47 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_122 (_let_120))) (let ((_let_123 ((tptp.inverse X)))) (let ((_let_124 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_121 :args (tptp.sk_c2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_123)) :args _let_122)) _let_121 :args (_let_86 false _let_120)))) (let ((_let_125 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_121 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_123)) :args _let_122)) _let_121 :args (_let_87 false _let_120)))) (let ((_let_126 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))) (let ((_let_127 (EQ_RESOLVE (ASSUME :args (_let_48)) (MACRO_SR_EQ_INTRO :args (_let_48 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_128 (_let_126))) (let ((_let_129 ((tptp.multiply tptp.identity X)))) (let ((_let_130 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_127 :args (tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_129)) :args _let_128)) _let_127 :args (_let_88 false _let_126)))) (let ((_let_131 (_let_46))) (let ((_let_132 (ASSUME :args _let_131))) (let ((_let_133 ((tptp.multiply X (tptp.multiply Y Z))))) (let ((_let_134 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_132 :args (tptp.sk_c8 tptp.sk_c2 tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING _let_133)) :args _let_131)) _let_132 :args (_let_89 false _let_46)))) (let ((_let_135 (not _let_88))) (let ((_let_136 (not _let_87))) (let ((_let_137 (and _let_66 _let_67 _let_68 _let_81 _let_86 _let_87 _let_88 _let_89))) (let ((_let_138 (CONG _let_98 _let_97 :args _let_95))) (let ((_let_139 (ASSUME :args (_let_89)))) (let ((_let_140 (SYMM (SYMM _let_139)))) (let ((_let_141 (ASSUME :args (_let_68)))) (let ((_let_142 (ASSUME :args (_let_86)))) (let ((_let_143 (ASSUME :args (_let_87)))) (let ((_let_144 (SYMM _let_143))) (let ((_let_145 (CONG (TRANS _let_143 (TRANS _let_144 (SYMM (SYMM _let_142)) (CONG (SYMM _let_141) (REFL :args (tptp.sk_c2)) :args _let_95))) _let_98 :args _let_95))) (let ((_let_146 (ASSUME :args (_let_88)))) (let ((_let_147 (SYMM _let_146))) (let ((_let_148 (SYMM _let_147))) (let ((_let_149 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_150 (ASSUME :args (_let_81)))) (let ((_let_151 (SYMM (SYMM _let_150)))) (let ((_let_152 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_137)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_99 _let_96 _let_139 _let_141 _let_142 _let_143 _let_146 _let_150) (SCOPE (TRANS _let_148 _let_145 _let_140 _let_138 _let_100 _let_151 (CONG _let_149 (TRANS _let_148 _let_145 _let_140 _let_138 _let_100) :args _let_95)) :args (_let_66 _let_67 _let_89 _let_68 _let_86 _let_87 _let_88 _let_81))) :args (_let_66 _let_67 _let_68 _let_81 _let_86 _let_87 _let_88 _let_89))) :args (true _let_137)) :args ((or (not _let_66) (not _let_67) _let_75 _let_82 (not _let_86) _let_136 _let_135 _let_90 (not _let_89)))))) (let ((_let_153 (_let_54))) (let ((_let_154 ((tptp.multiply X1 tptp.sk_c7)))) (let ((_let_155 (ASSUME :args _let_153))) (let ((_let_156 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_155 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_154)) :args _let_153)))) (let ((_let_157 (REORDERING (CNF_OR_POS :args (_let_92)) :args ((or _let_80 _let_91 (not _let_92)))))) (let ((_let_158 (MACRO_RESOLUTION_TRUST _let_157 _let_156 _let_152 _let_134 _let_130 _let_125 _let_124 _let_119 _let_118 _let_117 _let_116 _let_114 _let_110 _let_106 _let_105 _let_101 _let_93 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_62 _let_68))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_20)) (MACRO_SR_EQ_INTRO :args (_let_20 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_62 _let_67))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_25)) (MACRO_SR_EQ_INTRO :args (_let_25 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_62 _let_66))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_30)) (MACRO_SR_EQ_INTRO :args (_let_30 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_62 _let_65))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_37)) (MACRO_SR_EQ_INTRO :args (_let_37 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_62 _let_64))) (EQ_RESOLVE (ASSUME :args (_let_44)) (MACRO_SR_EQ_INTRO :args (_let_44 SB_DEFAULT SBA_FIXPOINT))) :args (_let_62 false _let_92 false _let_90 false _let_89 false _let_88 false _let_87 false _let_86 false _let_54 true _let_85 false _let_79 false _let_81 true _let_84 true _let_83 true _let_77 true _let_74 false _let_73 true _let_71 false _let_68 false _let_67 false _let_66 false _let_65 false _let_64 false _let_63)))) (let ((_let_159 (= tptp.sk_c8 _let_2))) (let ((_let_160 (not _let_62))) (let ((_let_161 (MACRO_RESOLUTION_TRUST _let_157 _let_156 _let_152 _let_134 _let_130 _let_125 _let_124 _let_119 _let_118 _let_117 _let_116 _let_114 _let_110 _let_106 _let_105 _let_101 _let_93 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_159 _let_68))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_159 _let_67))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_24)) (MACRO_SR_EQ_INTRO :args (_let_24 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_159 _let_66))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_29)) (MACRO_SR_EQ_INTRO :args (_let_29 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_159 _let_65))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_36)) (MACRO_SR_EQ_INTRO :args (_let_36 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_159 _let_64))) (EQ_RESOLVE (ASSUME :args (_let_43)) (MACRO_SR_EQ_INTRO :args (_let_43 SB_DEFAULT SBA_FIXPOINT))) :args (_let_159 false _let_92 false _let_90 false _let_89 false _let_88 false _let_87 false _let_86 false _let_54 true _let_85 false _let_79 false _let_81 true _let_84 true _let_83 true _let_77 true _let_74 false _let_73 true _let_71 false _let_68 false _let_67 false _let_66 false _let_65 false _let_64 false _let_63)))) (let ((_let_162 (= tptp.identity (tptp.multiply _let_2 tptp.sk_c5)))) (let ((_let_163 (= (tptp.multiply (tptp.multiply _let_55 tptp.sk_c5) tptp.sk_c8) (tptp.multiply _let_55 _let_7)))) (let ((_let_164 (= tptp.sk_c7 _let_10))) (let ((_let_165 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.sk_c8))) (let ((_let_166 (= tptp.sk_c7 _let_165))) (let ((_let_167 (tptp.multiply tptp.sk_c5 _let_55))) (let ((_let_168 (tptp.multiply tptp.sk_c5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_169 (tptp.multiply _let_168 tptp.sk_c7))) (let ((_let_170 (= _let_169 _let_167))) (let ((_let_171 (tptp.multiply tptp.identity tptp.sk_c5))) (let ((_let_172 (= tptp.sk_c5 _let_171))) (let ((_let_173 (tptp.multiply tptp.identity _let_168))) (let ((_let_174 (= _let_168 _let_173))) (let ((_let_175 (tptp.multiply tptp.identity tptp.identity))) (let ((_let_176 (= (tptp.multiply _let_175 _let_168) (tptp.multiply tptp.identity _let_173)))) (let ((_let_177 (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 (tptp.multiply _let_168 tptp.sk_c8))))) (let ((_let_178 (= tptp.identity (tptp.multiply _let_41 tptp.sk_c8)))) (let ((_let_179 (tptp.multiply _let_58 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_180 (= tptp.identity _let_179))) (let ((_let_181 (tptp.multiply tptp.sk_c7 _let_168))) (let ((_let_182 (= _let_181 (tptp.multiply 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_let_277 _let_276 _let_274 _let_244 _let_272 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_132 :args (tptp.sk_c7 tptp.identity _let_168 QUANTIFIERS_INST_E_MATCHING _let_133)) :args _let_131)) _let_132 :args (_let_203 false _let_46)) _let_271 _let_216 _let_268 _let_243 _let_265 _let_264 _let_242 _let_263 _let_130 _let_125 _let_262 _let_215 (REORDERING (RESOLUTION _let_386 (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_237 _let_219 _let_233 _let_231 _let_226 _let_223 _let_143 _let_146 _let_315 _let_259 _let_255 _let_328 _let_330 _let_331 _let_332 _let_336 _let_339 _let_343 _let_346 _let_348 _let_250 _let_246 _let_353 _let_356 _let_358 _let_368 _let_375 _let_382 _let_384) (SCOPE (TRANS _let_148 _let_311 _let_307 _let_306 (CONG _let_98 (SYMM _let_385) :args _let_95) (SYMM _let_383) (CONG (TRANS (SYMM _let_379) _let_381 (TRANS _let_380 _let_379 (CONG _let_363 (TRANS _let_356 _let_378 (SYMM _let_362) (SYMM _let_364) _let_377 (CONG (TRANS _let_374 (TRANS _let_373 (SYMM 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_let_237 _let_255 _let_259) (SCOPE (TRANS _let_239 _let_236 (CONG _let_258 _let_234 :args _let_95) (CONG _let_220 (TRANS _let_235 (CONG _let_259 _let_219 :args _let_95) (CONG _let_260 _let_258 :args _let_95) (SYMM _let_257)) :args _let_95) (CONG _let_98 (TRANS (CONG _let_246 _let_254 :args _let_95) (CONG (TRANS _let_247 _let_253) (TRANS _let_239 _let_236 _let_232 _let_230 _let_147) :args _let_95) (CONG _let_252 _let_98 :args _let_95)) :args _let_95)) :args (_let_174 _let_87 _let_176 _let_88 _let_162 _let_159 _let_56 _let_163 _let_62 _let_164 _let_170 _let_172))) :args (_let_164 _let_62 _let_159 _let_56 _let_162 _let_87 _let_170 _let_88 _let_172 _let_174 _let_163 _let_176))) :args (true _let_245)) _let_217 _let_244 _let_216 _let_243 _let_242 _let_130 _let_241 _let_125 _let_215 (RESOLUTION (CNF_AND_NEG :args (_let_218)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_219 _let_146 _let_143 _let_223 _let_226 _let_231 _let_233 _let_237) (SCOPE _let_240 :args (_let_56 _let_88 _let_87 _let_162 _let_159 _let_163 _let_62 _let_164))) :args (_let_164 _let_62 _let_159 _let_56 _let_162 _let_87 _let_88 _let_163))) :args (true _let_218)) _let_217 _let_216 _let_130 _let_125 _let_215 :args ((or _let_160 _let_214 _let_60 _let_57) true _let_85 true _let_54 true _let_84 true _let_74 true _let_213 true _let_210 true _let_207 false _let_205 false _let_164 false _let_201 false _let_200 false _let_199 false _let_197 false _let_176 false _let_196 false _let_194 false _let_193 false _let_163 false _let_190 false _let_189 false _let_188 false _let_187 false _let_174 false _let_185 false _let_183 false _let_172 false _let_182 false _let_88 false _let_170 false _let_87 false _let_180 false _let_162 false _let_178 false _let_63 false _let_164 false _let_201 false _let_200 false _let_199 false _let_197 false _let_176 false _let_196 false _let_194 false _let_193 false _let_163 false _let_190 false _let_189 false _let_188 false _let_187 false _let_174 false _let_185 false _let_183 false _let_172 false _let_182 false _let_88 false _let_170 false _let_87 false _let_180 false _let_162 false _let_178 false _let_204 false _let_164 false _let_201 false _let_200 false _let_197 false _let_176 false _let_194 false _let_203 false _let_193 false _let_163 false _let_188 false _let_174 false _let_185 false _let_183 false _let_172 false _let_182 false _let_88 false _let_87 false _let_180 false _let_162 false _let_202 false _let_164 false _let_201 false _let_200 false _let_199 false _let_197 false _let_176 false _let_196 false _let_194 false _let_193 false _let_163 false _let_190 false _let_189 false _let_188 false _let_187 false _let_174 false _let_185 false _let_183 false _let_172 false _let_182 false _let_88 false _let_170 false _let_87 false _let_180 false _let_162 false _let_178 false _let_177 false _let_164 false _let_176 false _let_163 false _let_174 false _let_172 false _let_88 false _let_170 false _let_87 false _let_162 false _let_166 false _let_164 false _let_163 false _let_88 false _let_87 false _let_162)))) (let ((_let_430 (REFL :args (_let_61)))) (let ((_let_431 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_61 0)) (CONG _let_430 (MACRO_SR_PRED_INTRO :args ((= (not _let_60) _let_59))) :args _let_107)) :args ((or _let_59 _let_61))))) (let ((_let_432 (not _let_54))) (let ((_let_433 (_let_432))) (let ((_let_434 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_433)) :args _let_433)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_432) _let_54))) (REFL :args ((not _let_61))) :args _let_107)))) (let ((_let_435 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_155 :args (tptp.sk_c4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_154)) :args _let_153)))) (let ((_let_436 (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c8) (tptp.multiply tptp.sk_c8 _let_7)))) (let ((_let_437 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_132 :args (tptp.sk_c8 tptp.sk_c5 tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING _let_133)) :args _let_131)) _let_132 :args (_let_436 false _let_46)))) (let ((_let_438 (and _let_164 _let_62 _let_159 _let_56 _let_81 _let_162 _let_87 _let_436 _let_170 _let_88 _let_172))) (let ((_let_439 (CONG _let_220 (REFL :args (tptp.sk_c6)) :args _let_95))) (let ((_let_440 (CONG _let_220 (TRANS _let_355 _let_352 _let_256) :args _let_95))) (let ((_let_441 (CONG _let_219 (REFL :args (_let_7)) :args _let_95))) (let ((_let_442 (ASSUME :args (_let_436)))) (let ((_let_443 (SYMM (SYMM _let_442)))) (let ((_let_444 (CONG (TRANS _let_143 (TRANS _let_144 _let_310 (CONG _let_227 _let_225 :args _let_95))) _let_98 :args _let_95))) (let ((_let_445 (not _let_53))) (let ((_let_446 (REORDERING (CNF_OR_POS :args (_let_53)) :args ((or _let_52 _let_50 _let_445))))) (let ((_let_447 (MACRO_RESOLUTION_TRUST _let_446 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_32)) (MACRO_SR_EQ_INTRO :args (_let_32 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_49 _let_65))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_33)) (MACRO_SR_EQ_INTRO :args (_let_33 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_51 _let_65))) :args ((or _let_65 _let_445) false _let_49 false _let_51)))) (let ((_let_448 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_40)) (MACRO_SR_EQ_INTRO :args (_let_40 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_51 _let_64))))) (let ((_let_449 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_39)) (MACRO_SR_EQ_INTRO :args (_let_39 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_49 _let_64))))) (let ((_let_450 (MACRO_RESOLUTION_TRUST _let_434 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_61 1)) (CONG _let_430 (MACRO_SR_PRED_INTRO :args ((= (not _let_57) _let_56))) :args _let_107)) :args ((or _let_56 _let_61))) (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_446 _let_449 _let_448 _let_93 _let_447 _let_105 _let_110 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_438)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_237 _let_219 _let_233 _let_259 _let_255 _let_442 _let_226 _let_223 _let_143 _let_146 _let_150) (SCOPE (TRANS _let_148 _let_444 _let_443 _let_441 _let_440 _let_420 _let_439 _let_238 _let_151 (CONG _let_149 (TRANS _let_148 _let_444 _let_443 _let_441 _let_440 _let_420) :args _let_95) (CONG _let_149 (TRANS _let_439 _let_238) :args _let_95)) :args (_let_164 _let_56 _let_62 _let_172 _let_170 _let_436 _let_159 _let_162 _let_87 _let_88 _let_81))) :args (_let_164 _let_62 _let_159 _let_56 _let_81 _let_162 _let_87 _let_436 _let_170 _let_88 _let_172))) :args (true _let_438)) _let_161 _let_217 _let_242 _let_130 _let_241 _let_437 _let_125 _let_215 _let_157 _let_117 _let_116 _let_156 _let_434 _let_431 _let_429 _let_161 :args ((or _let_160 _let_57 _let_83) false _let_159 false _let_164 false _let_172 false _let_88 false _let_170 false _let_436 false _let_87 false _let_162 true _let_90 false _let_79 false _let_81 false _let_92 false _let_54 false _let_61 true _let_59 false _let_159)) _let_435 _let_434 _let_431 _let_429 _let_161 :args ((or _let_160 _let_57) false _let_49 false _let_51 true _let_64 false _let_65 false _let_71 false _let_74 false _let_83 false _let_53 false _let_54 false _let_61 true _let_59 false _let_159)) _let_158 :args (_let_57 false _let_62)) :args (_let_61 true _let_56)) :args (_let_54 false _let_61)))) (let ((_let_451 (MACRO_RESOLUTION_TRUST _let_435 _let_450 :args (_let_53 false _let_54)))) (let ((_let_452 (and _let_164 _let_62 _let_159 _let_81 _let_162 _let_87 _let_436 _let_88))) (let ((_let_453 (CONG _let_98 _let_234 :args _let_95))) (let ((_let_454 (MACRO_RESOLUTION_TRUST _let_93 (MACRO_RESOLUTION_TRUST _let_447 _let_451 :args (_let_65 false _let_53)) (MACRO_RESOLUTION_TRUST _let_105 (MACRO_RESOLUTION_TRUST _let_110 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_452)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_237 _let_233 _let_442 _let_226 _let_223 _let_143 _let_146 _let_150) (SCOPE (TRANS _let_148 _let_444 _let_443 _let_453 _let_238 _let_151 (CONG _let_149 (TRANS _let_148 _let_444 _let_443 _let_453 _let_238) :args _let_95)) :args (_let_164 _let_62 _let_436 _let_159 _let_162 _let_87 _let_88 _let_81))) :args (_let_164 _let_62 _let_159 _let_81 _let_162 _let_87 _let_436 _let_88))) :args (true _let_452)) _let_158 _let_161 _let_217 _let_130 _let_437 _let_125 _let_215 _let_157 (MACRO_RESOLUTION_TRUST _let_156 _let_450 :args (_let_92 false _let_54)) _let_117 _let_116 :args (_let_83 false _let_62 false _let_159 false _let_164 false _let_88 false _let_436 false _let_87 false _let_162 true _let_90 false _let_92 false _let_79 false _let_81)) :args (_let_74 false _let_83)) :args (_let_71 false _let_74)) :args (_let_70 false _let_65 false _let_71)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_446 (MACRO_RESOLUTION_TRUST _let_449 _let_454 :args (_let_49 true _let_64)) (MACRO_RESOLUTION_TRUST _let_448 _let_454 :args (_let_51 true _let_64)) _let_451 :args (false false _let_49 false _let_51 false _let_53)) :args (_let_48 _let_47 _let_46 (or _let_42 _let_16) (or _let_42 _let_14) _let_45 _let_44 _let_43 _let_40 _let_39 _let_38 _let_37 _let_36 _let_33 _let_32 _let_31 _let_30 _let_29 (or _let_23 _let_16) (or _let_23 _let_14) _let_26 _let_25 _let_24 (or _let_18 _let_16) (or _let_18 _let_14) _let_21 _let_20 _let_19 (or _let_5 _let_16) (or _let_5 _let_14) _let_12 _let_9 _let_6 _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 2.01/2.30 )
% 2.01/2.30 % SZS output end Proof for GRP233-1
% 2.01/2.31 % cvc5---1.0.5 exiting
% 2.01/2.31 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------