TSTP Solution File: GRP231-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP231-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n001.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 10.65s 10.88s
% Output : Proof 10.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP231-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.34 % Computer : n001.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 28 20:23:20 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.49 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.fIkKHhn1lx/cvc5---1.0.5_25047.p...
% 0.21/0.49 ------- get file name : TPTP file name is GRP231-1
% 0.21/0.50 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_25047.smt2...
% 0.21/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.61/10.80 --- Run --no-e-matching --full-saturate-quant at 5...
% 10.65/10.88 % SZS status Unsatisfiable for GRP231-1
% 10.65/10.88 % SZS output start Proof for GRP231-1
% 10.65/10.89 (
% 10.65/10.89 (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 X5) tptp.sk_c8)) (not (= (tptp.inverse X4) X5)) (not (= (tptp.multiply X5 tptp.sk_c7) tptp.sk_c8)) (not (= (tptp.inverse X6) tptp.sk_c8)) (not (= (tptp.multiply X6 tptp.sk_c7) 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.multiply tptp.sk_c3 tptp.sk_c7) tptp.sk_c8))) (let ((_let_5 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (let ((_let_6 (= _let_5 tptp.sk_c6))) (let ((_let_7 (tptp.multiply tptp.sk_c8 tptp.sk_c6))) (let ((_let_8 (= _let_7 tptp.sk_c7))) (let ((_let_9 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (let ((_let_10 (= _let_9 tptp.sk_c8))) (let ((_let_11 (tptp.inverse tptp.sk_c4))) (let ((_let_12 (= _let_11 tptp.sk_c8))) (let ((_let_13 (= (tptp.inverse tptp.sk_c3) tptp.sk_c8))) (let ((_let_14 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (let ((_let_15 (= _let_14 tptp.sk_c8))) (let ((_let_16 (or _let_15 _let_12))) (let ((_let_17 (tptp.inverse tptp.sk_c1))) (let ((_let_18 (= _let_17 tptp.sk_c2))) (let ((_let_19 (or _let_18 _let_3))) (let ((_let_20 (or _let_18 _let_6))) (let ((_let_21 (or _let_18 _let_8))) (let ((_let_22 (or _let_18 _let_10))) (let ((_let_23 (or _let_18 _let_12))) (let ((_let_24 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (let ((_let_25 (= _let_24 tptp.sk_c8))) (let ((_let_26 (or _let_25 _let_3))) (let ((_let_27 (or _let_25 _let_6))) (let ((_let_28 (or _let_25 _let_8))) (let ((_let_29 (or _let_25 _let_10))) (let ((_let_30 (or _let_25 _let_12))) (let ((_let_31 (tptp.inverse tptp.sk_c8))) (let ((_let_32 (= _let_31 tptp.sk_c7))) (let ((_let_33 (or _let_32 _let_3))) (let ((_let_34 (or _let_32 _let_6))) (let ((_let_35 (or _let_32 _let_8))) (let ((_let_36 (or _let_32 _let_10))) (let ((_let_37 (or _let_32 _let_12))) (let ((_let_38 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))) (let ((_let_39 (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity)))) (let ((_let_40 (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)))) (let ((_let_41 (tptp.multiply tptp.identity tptp.sk_c8))) (let ((_let_42 (= tptp.sk_c8 _let_41))) (let ((_let_43 (tptp.multiply _let_31 tptp.sk_c8))) (let ((_let_44 (= tptp.identity _let_43))) (let ((_let_45 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (let ((_let_46 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (let ((_let_47 (tptp.multiply _let_11 tptp.sk_c4))) (let ((_let_48 (= tptp.identity _let_47))) (let ((_let_49 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (let ((_let_50 (tptp.multiply _let_2 tptp.sk_c5))) (let ((_let_51 (= tptp.identity _let_50))) (let ((_let_52 (= (tptp.multiply _let_50 tptp.sk_c8) (tptp.multiply _let_2 _let_5)))) (let ((_let_53 (= (tptp.multiply _let_43 tptp.sk_c4) (tptp.multiply _let_31 (tptp.multiply tptp.sk_c8 tptp.sk_c4))))) (let ((_let_54 (= (tptp.multiply _let_43 tptp.sk_c6) (tptp.multiply _let_31 _let_7)))) (let ((_let_55 (= (tptp.multiply _let_43 tptp.sk_c5) (tptp.multiply _let_31 (tptp.multiply tptp.sk_c8 tptp.sk_c5))))) (let ((_let_56 (= tptp.sk_c7 _let_31))) (let ((_let_57 (= tptp.sk_c8 _let_11))) (let ((_let_58 (= tptp.sk_c8 _let_9))) (let ((_let_59 (= tptp.sk_c7 _let_7))) (let ((_let_60 (= tptp.sk_c6 _let_5))) (let ((_let_61 (= tptp.sk_c8 _let_2))) (let ((_let_62 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))) (let ((_let_63 (EQ_RESOLVE (ASSUME :args (_let_40)) (MACRO_SR_EQ_INTRO :args (_let_40 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_64 (_let_62))) (let ((_let_65 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (tptp.sk_c8 QUANTIFIERS_INST_CBQI_PROP)) :args _let_64)) _let_63 :args (_let_42 false _let_62)))) (let ((_let_66 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))) (let ((_let_67 (EQ_RESOLVE (ASSUME :args (_let_39)) (MACRO_SR_EQ_INTRO :args (_let_39 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_68 (_let_66))) (let ((_let_69 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (tptp.sk_c8 QUANTIFIERS_INST_ENUM)) :args _let_68)) _let_67 :args (_let_44 false _let_66)))) (let ((_let_70 (tptp.sk_c4 QUANTIFIERS_INST_ENUM))) (let ((_let_71 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args _let_70) :args _let_64)) _let_63 :args (_let_45 false _let_62)))) (let ((_let_72 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args _let_70) :args _let_68)) _let_67 :args (_let_48 false _let_66)))) (let ((_let_73 (tptp.sk_c5 QUANTIFIERS_INST_ENUM))) (let ((_let_74 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args _let_73) :args _let_68)) _let_67 :args (_let_51 false _let_66)))) (let ((_let_75 (_let_38))) (let ((_let_76 (ASSUME :args _let_75))) (let ((_let_77 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (_let_2 tptp.sk_c5 tptp.sk_c8 QUANTIFIERS_INST_CBQI_PROP)) :args _let_75)) _let_76 :args (_let_52 false _let_38)))) (let ((_let_78 (= tptp.sk_c2 _let_17))) (let ((_let_79 (= tptp.sk_c8 _let_24))) (let ((_let_80 (not _let_58))) (let ((_let_81 (not _let_57))) (let ((_let_82 (or _let_81 _let_80))) (let ((_let_83 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (let ((_let_84 (= (tptp.multiply _let_47 tptp.sk_c7) (tptp.multiply _let_11 _let_9)))) (let ((_let_85 (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 _let_41)))) (let ((_let_86 (tptp.multiply tptp.sk_c8 tptp.sk_c8))) (let ((_let_87 (= (tptp.multiply tptp.sk_c8 _let_86) (tptp.multiply _let_86 tptp.sk_c8)))) (let ((_let_88 (= tptp.sk_c8 (tptp.inverse tptp.identity)))) (let ((_let_89 (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 _let_11)))) (let ((_let_90 (= tptp.sk_c8 (tptp.multiply _let_11 tptp.sk_c7)))) (let ((_let_91 (forall ((X6 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.inverse X6))) (not (= tptp.sk_c8 (tptp.multiply X6 tptp.sk_c7))))))) (let ((_let_92 (not _let_88))) (let ((_let_93 (not _let_85))) (let ((_let_94 (or _let_93 _let_92))) (let ((_let_95 (not _let_90))) (let ((_let_96 (not _let_89))) (let ((_let_97 (or _let_96 _let_95))) (let ((_let_98 (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 (tptp.multiply X3 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse X3))))))) (let ((_let_99 (forall ((X4 $$unsorted)) (let ((_let_1 (tptp.inverse X4))) (or (not (= tptp.sk_c8 (tptp.multiply X4 _let_1))) (not (= tptp.sk_c8 (tptp.multiply _let_1 tptp.sk_c7)))))))) (let ((_let_100 (not _let_56))) (let ((_let_101 (REORDERING (CNF_OR_POS :args (_let_82)) :args ((or _let_81 _let_80 (not _let_82)))))) (let ((_let_102 (_let_91))) (let ((_let_103 (tptp.sk_c4 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_104 (ASSUME :args _let_102))) (let ((_let_105 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args _let_103) :args _let_102)))) (let ((_let_106 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (tptp.sk_c7 QUANTIFIERS_INST_ENUM)) :args _let_64)) _let_63 :args (_let_83 false _let_62)))) (let ((_let_107 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (_let_11 tptp.sk_c4 tptp.sk_c7 QUANTIFIERS_INST_CBQI_PROP)) :args _let_75)) _let_76 :args (_let_84 false _let_38)))) (let ((_let_108 (not _let_84))) (let ((_let_109 (not _let_48))) (let ((_let_110 (not _let_83))) (let ((_let_111 (not _let_42))) (let ((_let_112 (and _let_57 _let_58 _let_42 _let_83 _let_48 _let_84))) (let ((_let_113 (APPLY_UF tptp.multiply))) (let ((_let_114 (ASSUME :args (_let_42)))) (let ((_let_115 (SYMM _let_114))) (let ((_let_116 (SYMM _let_115))) (let ((_let_117 (ASSUME :args (_let_58)))) (let ((_let_118 (SYMM _let_117))) (let ((_let_119 (SYMM _let_118))) (let ((_let_120 (ASSUME :args (_let_57)))) (let ((_let_121 (SYMM _let_120))) (let ((_let_122 (SYMM _let_121))) (let ((_let_123 (ASSUME :args (_let_84)))) (let ((_let_124 (SYMM _let_123))) (let ((_let_125 (REFL :args (tptp.sk_c7)))) (let ((_let_126 (ASSUME :args (_let_48)))) (let ((_let_127 (SYMM _let_126))) (let ((_let_128 (SYMM _let_127))) (let ((_let_129 (ASSUME :args (_let_83)))) (let ((_let_130 (SYMM _let_129))) (let ((_let_131 (SYMM _let_130))) (let ((_let_132 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_112)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_120 _let_114 _let_117 _let_123 _let_126 _let_129) (SCOPE (TRANS _let_131 (CONG _let_128 _let_125 :args _let_113) (SYMM _let_124) (CONG (SYMM _let_122) (TRANS (SYMM _let_119) _let_116) :args _let_113)) :args (_let_57 _let_42 _let_58 _let_84 _let_48 _let_83))) :args (_let_57 _let_58 _let_42 _let_83 _let_48 _let_84))) :args (true _let_112)) :args ((or _let_81 _let_80 _let_85 _let_111 _let_110 _let_109 _let_108))))) (let ((_let_133 (not _let_52))) (let ((_let_134 (not _let_51))) (let ((_let_135 (not _let_61))) (let ((_let_136 (not _let_60))) (let ((_let_137 (not _let_59))) (let ((_let_138 (and _let_57 _let_58 _let_59 _let_60 _let_61 _let_42 _let_83 _let_48 _let_51 _let_52 _let_84))) (let ((_let_139 (CONG _let_127 _let_125 :args _let_113))) (let ((_let_140 (CONG _let_122 (TRANS _let_115 _let_119) :args _let_113))) (let ((_let_141 (REFL :args (tptp.sk_c8)))) (let ((_let_142 (CONG _let_141 _let_114 :args _let_113))) (let ((_let_143 (TRANS _let_142 _let_140 _let_124 _let_139 _let_130))) (let ((_let_144 (SYMM _let_142))) (let ((_let_145 (SYMM _let_140))) (let ((_let_146 (SYMM _let_139))) (let ((_let_147 (ASSUME :args (_let_59)))) (let ((_let_148 (SYMM _let_147))) (let ((_let_149 (ASSUME :args (_let_60)))) (let ((_let_150 (SYMM _let_149))) (let ((_let_151 (ASSUME :args (_let_61)))) (let ((_let_152 (SYMM _let_151))) (let ((_let_153 (CONG _let_152 _let_150 :args _let_113))) (let ((_let_154 (ASSUME :args (_let_52)))) (let ((_let_155 (SYMM (SYMM _let_154)))) (let ((_let_156 (ASSUME :args (_let_51)))) (let ((_let_157 (SYMM _let_156))) (let ((_let_158 (SYMM _let_157))) (let ((_let_159 (CONG _let_158 _let_141 :args _let_113))) (let ((_let_160 (CONG _let_152 (TRANS _let_114 _let_159 _let_155 _let_153 _let_148 _let_129 _let_146 _let_123 _let_145 _let_144) :args _let_113))) (let ((_let_161 (CONG _let_151 _let_115 :args _let_113))) (let ((_let_162 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_138)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_120 _let_129 _let_126 _let_123 _let_117 _let_114 _let_151 _let_147 _let_149 _let_154 _let_156) (SCOPE (TRANS _let_114 _let_159 _let_155 _let_153 _let_148 _let_129 _let_146 _let_123 _let_145 _let_161 _let_160 (CONG _let_122 _let_143 :args _let_113)) :args (_let_57 _let_83 _let_48 _let_84 _let_58 _let_42 _let_61 _let_59 _let_60 _let_52 _let_51))) :args (_let_57 _let_58 _let_59 _let_60 _let_61 _let_42 _let_83 _let_48 _let_51 _let_52 _let_84))) :args (true _let_138)) :args ((or _let_81 _let_80 _let_137 _let_136 _let_135 _let_111 _let_110 _let_109 _let_134 _let_90 _let_133 _let_108))))) (let ((_let_163 (and _let_57 _let_58 _let_59 _let_60 _let_61 _let_42 _let_51 _let_52))) (let ((_let_164 (REFL :args (tptp.sk_c4)))) (let ((_let_165 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_163)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_120 _let_114 _let_156 _let_154 _let_151 _let_149 _let_147 _let_117) (SCOPE (TRANS _let_119 (CONG _let_164 (TRANS (SYMM _let_148) (CONG (SYMM _let_152) (SYMM _let_150) :args _let_113) (SYMM _let_155) (CONG (SYMM _let_158) _let_141 :args _let_113) _let_115) :args _let_113) (CONG _let_164 _let_122 :args _let_113)) :args (_let_57 _let_42 _let_51 _let_52 _let_61 _let_60 _let_59 _let_58))) :args (_let_57 _let_58 _let_59 _let_60 _let_61 _let_42 _let_51 _let_52))) :args (true _let_163)) :args ((or _let_81 _let_80 _let_137 _let_136 _let_135 _let_111 _let_134 _let_89 _let_133))))) (let ((_let_166 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_76 :args (tptp.sk_c8 tptp.sk_c8 tptp.sk_c8 QUANTIFIERS_INST_ENUM)) :args _let_75))) _let_76 :args (_let_87 false _let_38)))) (let ((_let_167 (not _let_44))) (let ((_let_168 (and _let_56 _let_57 _let_58 _let_59 _let_60 _let_61 _let_42 _let_83 _let_44 _let_48 _let_51 _let_87 _let_52 _let_84))) (let ((_let_169 (APPLY_UF tptp.inverse))) (let ((_let_170 (ASSUME :args (_let_44)))) (let ((_let_171 (SYMM _let_170))) (let ((_let_172 (ASSUME :args (_let_56)))) (let ((_let_173 (SYMM _let_172))) (let ((_let_174 (SYMM _let_173))) (let ((_let_175 (CONG _let_174 _let_141 :args _let_113))) (let ((_let_176 (ASSUME :args (_let_87)))) (let ((_let_177 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_168)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_170 _let_172 _let_129 _let_126 _let_123 _let_120 _let_117 _let_114 _let_176 _let_151 _let_147 _let_149 _let_154 _let_156) (SCOPE (TRANS _let_114 _let_159 _let_155 _let_153 _let_148 _let_174 (CONG _let_151 :args _let_169) (CONG (TRANS _let_152 _let_114 _let_159 _let_155 _let_153 _let_148 _let_129 _let_146 _let_123 _let_145 _let_161 _let_160 (SYMM (SYMM _let_176)) (CONG _let_143 _let_141 :args _let_113) _let_175 _let_171) :args _let_169)) :args (_let_44 _let_56 _let_83 _let_48 _let_84 _let_57 _let_58 _let_42 _let_87 _let_61 _let_59 _let_60 _let_52 _let_51))) :args (_let_56 _let_57 _let_58 _let_59 _let_60 _let_61 _let_42 _let_83 _let_44 _let_48 _let_51 _let_87 _let_52 _let_84))) :args (true _let_168)) :args ((or _let_100 _let_81 _let_80 _let_137 _let_136 _let_135 _let_88 _let_111 _let_110 _let_167 _let_109 _let_134 (not _let_87) _let_133 _let_108))))) (let ((_let_178 (REORDERING (CNF_OR_POS :args (_let_94)) :args ((or _let_93 _let_92 (not _let_94)))))) (let ((_let_179 (REORDERING (CNF_OR_POS :args (_let_97)) :args ((or _let_96 _let_95 (not _let_97)))))) (let ((_let_180 (_let_98))) (let ((_let_181 (ASSUME :args _let_180))) (let ((_let_182 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_181 :args (tptp.identity QUANTIFIERS_INST_ENUM)) :args _let_180)))) (let ((_let_183 (_let_99))) (let ((_let_184 (ASSUME :args _let_183))) (let ((_let_185 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_184 :args _let_103) :args _let_183)))) (let ((_let_186 (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.inverse X1))) (not (= tptp.sk_c8 (tptp.multiply X1 tptp.sk_c7))))))) (let ((_let_187 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_100 _let_91 _let_186 _let_99 _let_98))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_91 (= X6 X1)))) :args ((or _let_100 _let_91 _let_99 _let_98) true _let_186)))) (let ((_let_188 (= tptp.sk_c8 _let_14))) (let ((_let_189 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (let ((_let_190 (tptp.multiply _let_17 tptp.sk_c1))) (let ((_let_191 (= tptp.identity 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((_let_209 (not _let_78))) (let ((_let_210 (not _let_79))) (let ((_let_211 (= tptp.sk_c8 (tptp.multiply _let_17 tptp.sk_c7)))) (let ((_let_212 (not _let_211))) (let ((_let_213 (= tptp.sk_c8 (tptp.multiply tptp.sk_c1 _let_17)))) (let ((_let_214 (not _let_213))) (let ((_let_215 (or _let_214 _let_212))) (let ((_let_216 (= (tptp.multiply _let_14 tptp.sk_c8) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) (let ((_let_217 (= tptp.sk_c8 _let_17))) (let ((_let_218 (= (tptp.multiply _let_41 tptp.sk_c7) (tptp.multiply tptp.identity _let_198)))) (let ((_let_219 (= (tptp.multiply _let_24 tptp.sk_c7) (tptp.multiply tptp.sk_c1 _let_14)))) (let ((_let_220 (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) (let ((_let_221 (not _let_217))) (let ((_let_222 (not _let_220))) (let ((_let_223 (or _let_222 _let_221))) (let ((_let_224 (not _let_188))) (let ((_let_225 (not _let_215))) (let ((_let_226 (and _let_78 _let_188))) (let ((_let_227 (_let_78 _let_188))) (let ((_let_228 (ASSUME :args (_let_78)))) (let ((_let_229 (SYMM _let_228))) (let ((_let_230 (SYMM _let_229))) (let ((_let_231 (ASSUME :args (_let_188)))) (let ((_let_232 (SYMM _let_231))) (let ((_let_233 (SYMM _let_232))) (let ((_let_234 (and _let_79 _let_78))) (let ((_let_235 (REFL :args (tptp.sk_c1)))) (let ((_let_236 (ASSUME :args (_let_79)))) (let ((_let_237 (SYMM _let_236))) (let ((_let_238 (SYMM _let_237))) (let ((_let_239 (tptp.sk_c2 QUANTIFIERS_INST_ENUM))) (let ((_let_240 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args _let_239) :args _let_64)) _let_63 :args (_let_189 false _let_62)))) (let ((_let_241 (tptp.sk_c1 QUANTIFIERS_INST_ENUM))) (let ((_let_242 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args _let_241) :args _let_68)) _let_67 :args (_let_191 false _let_66)))) (let ((_let_243 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args _let_239) :args _let_68)) _let_67 :args (_let_194 false _let_66)))) (let ((_let_244 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (_let_17 tptp.sk_c1 tptp.sk_c2 QUANTIFIERS_INST_CBQI_PROP)) :args _let_75)) _let_76 :args (_let_195 false _let_38)))) (let ((_let_245 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (_let_192 tptp.sk_c2 tptp.sk_c8 QUANTIFIERS_INST_CBQI_PROP)) :args _let_75)) _let_76 :args (_let_196 false _let_38)))) (let ((_let_246 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (tptp.sk_c1 tptp.sk_c2 _let_41 QUANTIFIERS_INST_CBQI_PROP)) :args _let_75)) _let_76 :args (_let_197 false _let_38)))) (let ((_let_247 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (tptp.sk_c2 tptp.sk_c7 tptp.sk_c8 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_75)) _let_76 :args (_let_216 false _let_38)))) (let ((_let_248 (not _let_216))) (let ((_let_249 (not _let_197))) (let ((_let_250 (not _let_196))) (let ((_let_251 (not _let_195))) (let ((_let_252 (not 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((_let_273 (ASSUME :args (_let_216)))) (let ((_let_274 (SYMM _let_273))) (let ((_let_275 (SYMM _let_266))) (let ((_let_276 (SYMM _let_269))) (let ((_let_277 (CONG _let_258 _let_115 :args _let_113))) (let ((_let_278 (CONG _let_235 (TRANS _let_277 _let_276 _let_263 _let_261 _let_257) :args _let_113))) (let ((_let_279 (ASSUME :args (_let_197)))) (let ((_let_280 (SYMM _let_279))) (let ((_let_281 (SYMM _let_280))) (let ((_let_282 (REFL :args (_let_41)))) (let ((_let_283 (CONG _let_238 _let_282 :args _let_113))) (let ((_let_284 (SYMM _let_283))) (let ((_let_285 (SYMM _let_278))) (let ((_let_286 (CONG _let_114 _let_115 :args _let_113))) (let ((_let_287 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (tptp.sk_c1 tptp.sk_c2 tptp.sk_c7 QUANTIFIERS_INST_CBQI_PROP)) :args _let_75)) _let_76 :args (_let_219 false _let_38)))) (let ((_let_288 (not _let_219))) (let ((_let_289 (and _let_79 _let_78 _let_188 _let_42 _let_83 _let_218 _let_189 _let_191 _let_219 _let_194 _let_195 _let_196 _let_197))) (let ((_let_290 (ASSUME :args (_let_219)))) (let ((_let_291 (SYMM _let_290))) (let ((_let_292 (CONG _let_230 _let_238 :args _let_113))) (let ((_let_293 (CONG _let_235 (TRANS _let_277 _let_292 _let_263 _let_261 _let_257) :args _let_113))) (let ((_let_294 (SYMM _let_293))) (let ((_let_295 (TRANS (TRANS _let_264 (CONG _let_271 (TRANS _let_256 _let_270 _let_262 (SYMM _let_292)) :args _let_113) _let_268 _let_266 _let_115 _let_238 _let_294 _let_280 _let_284 _let_144) (TRANS _let_142 _let_283 _let_281 _let_293 _let_237)))) (let ((_let_296 (ASSUME :args (_let_218)))) (let ((_let_297 (and _let_56 _let_79 _let_78 _let_188 _let_42 _let_83 _let_44 _let_189 _let_191 _let_219 _let_194 _let_195 _let_196 _let_197 _let_216))) (let ((_let_298 (CONG _let_271 (TRANS _let_292 _let_263 _let_261 _let_257) :args _let_113))) (let ((_let_299 (SYMM _let_268))) (let ((_let_300 (CONG _let_264 _let_141 :args _let_113))) (let ((_let_301 (CONG _let_141 _let_116 :args _let_113))) (let ((_let_302 (TRANS _let_301 _let_283 _let_281 _let_293 _let_237 _let_116 _let_300 _let_299 _let_298 _let_265))) (let ((_let_303 (TRANS _let_238 _let_294 _let_280 _let_284 (SYMM _let_301)))) (let ((_let_304 (TRANS _let_303 _let_302))) (let ((_let_305 (CONG _let_237 _let_125 :args _let_113))) (let ((_let_306 (CONG _let_235 _let_233 :args _let_113))) (let ((_let_307 (CONG _let_173 _let_141 :args _let_113))) (let ((_let_308 (SYMM _let_171))) (let ((_let_309 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (tptp.sk_c8 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_102)))) (let ((_let_310 (REORDERING (CNF_OR_POS :args (_let_205)) :args ((or _let_204 _let_203 (not _let_205)))))) (let ((_let_311 (or))) (let ((_let_312 (REFL :args (_let_167)))) (let ((_let_313 (REFL :args (_let_111)))) (let ((_let_314 (_let_100))) (let ((_let_315 (ASSUME :args (_let_203)))) (let ((_let_316 (CONG _let_230 _let_236 :args _let_113))) (let ((_let_317 (CONG _let_235 (TRANS _let_277 _let_316 _let_263 _let_261 _let_257) :args _let_113))) (let ((_let_318 (CONG _let_236 _let_282 :args _let_113))) (let ((_let_319 (SYMM _let_318))) (let ((_let_320 (SYMM _let_316))) (let ((_let_321 (CONG _let_271 (TRANS _let_256 _let_270 _let_262 _let_320) :args _let_113))) (let ((_let_322 (SYMM _let_321))) (let ((_let_323 (and _let_56 _let_57 _let_79 _let_78 _let_42 _let_83 _let_45 _let_48 _let_189 _let_191 _let_194 _let_195 _let_196 _let_197))) (let ((_let_324 (SYMM _let_257))) (let ((_let_325 (SYMM _let_260))) (let ((_let_326 (CONG (SYMM _let_325) _let_258 :args _let_113))) (let ((_let_327 (SYMM _let_263))) (let ((_let_328 (CONG _let_235 (TRANS _let_277 _let_316 (SYMM _let_327) _let_326 (SYMM _let_324)) :args _let_113))) (let ((_let_329 (CONG _let_271 (TRANS _let_324 (SYMM _let_326) _let_327 _let_320) :args _let_113))) (let ((_let_330 (TRANS (TRANS _let_264 _let_329 _let_268 _let_266 _let_115 _let_236 (SYMM _let_328) _let_280 _let_319 _let_144) (TRANS _let_142 _let_318 _let_281 _let_328 _let_237)))) (let ((_let_331 (ASSUME :args (_let_45)))) (let ((_let_332 (SYMM _let_331))) (let ((_let_333 (SYMM _let_332))) (let ((_let_334 (not _let_45))) (let ((_let_335 (and _let_57 _let_79 _let_78 _let_42 _let_45 _let_48 _let_189 _let_191 _let_194 _let_195 _let_196))) (let ((_let_336 (true _let_335))) (let ((_let_337 (_let_57 _let_79 _let_78 _let_42 _let_45 _let_48 _let_189 _let_191 _let_194 _let_195 _let_196))) (let ((_let_338 (CONG _let_325 _let_258 :args _let_113))) (let ((_let_339 (CONG _let_271 (TRANS _let_324 _let_338 _let_327 _let_269) :args _let_113))) (let ((_let_340 (TRANS _let_264 _let_339 _let_268 _let_266 _let_115 _let_122))) (let ((_let_341 (CONG (TRANS _let_333 (CONG _let_340 _let_164 :args _let_113) _let_127) :args _let_169))) (let ((_let_342 (CNF_AND_NEG :args (_let_335)))) (let ((_let_343 (TRANS _let_264 _let_339 _let_268 _let_266 _let_115))) (let ((_let_344 (CONG _let_343 :args _let_169))) (let ((_let_345 (and _let_56 _let_57 _let_79 _let_78 _let_42 _let_45 _let_48 _let_189 _let_191 _let_194 _let_195 _let_196 _let_197))) (let ((_let_346 (true _let_345))) (let ((_let_347 (_let_56 _let_57 _let_79 _let_78 _let_42 _let_45 _let_48 _let_189 _let_191 _let_194 _let_195 _let_196 _let_197))) (let ((_let_348 (CONG _let_235 (TRANS _let_277 _let_276 _let_263 (SYMM _let_338) _let_257) :args _let_113))) (let ((_let_349 (TRANS _let_142 _let_318 _let_281 _let_348 _let_237 _let_114 _let_275 _let_267 (SYMM _let_339) _let_265))) (let ((_let_350 (CONG _let_141 _let_349 :args _let_113))) (let ((_let_351 (SYMM _let_348))) (let ((_let_352 (TRANS _let_236 _let_351 _let_280 _let_319 _let_144))) (let ((_let_353 (CONG _let_115 _let_352 :args _let_113))) (let ((_let_354 (TRANS _let_128 (CONG (SYMM _let_340) _let_164 :args _let_113) (SYMM _let_333)))) (let ((_let_355 (CNF_AND_NEG :args (_let_345)))) (let ((_let_356 (and _let_57 _let_79 _let_78 _let_42 _let_45 _let_48 _let_189 _let_191 _let_194 _let_195 _let_196 _let_197))) (let ((_let_357 (MACRO_RESOLUTION_TRUST _let_187 _let_185 _let_182 _let_179 _let_178 _let_105 _let_162 _let_107 _let_77 _let_74 _let_72 _let_106 _let_65 _let_165 _let_77 _let_74 _let_65 _let_177 _let_107 _let_77 _let_166 _let_74 _let_72 _let_69 _let_106 _let_65 _let_132 _let_107 _let_72 _let_106 _let_65 _let_101 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_26)) (MACRO_SR_EQ_INTRO :args (_let_26 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_61 _let_79))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_27)) (MACRO_SR_EQ_INTRO :args (_let_27 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_60 _let_79))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_28)) (MACRO_SR_EQ_INTRO :args (_let_28 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_59 _let_79))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_29)) (MACRO_SR_EQ_INTRO :args (_let_29 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_58 _let_79))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_30)) (MACRO_SR_EQ_INTRO :args (_let_30 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_57 _let_79))) (MACRO_RESOLUTION_TRUST _let_185 _let_179 (RESOLUTION _let_355 (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_120 _let_114 _let_264 _let_267 _let_228 _let_236 _let_262 _let_259 _let_256 _let_279 _let_172 _let_126 _let_331) (SCOPE (TRANS _let_236 _let_351 _let_280 _let_319 _let_286 _let_353 _let_350 (CONG _let_122 (TRANS _let_264 _let_339 _let_268 _let_266 _let_115 _let_122 _let_341 _let_344 _let_173) :args _let_113)) :args (_let_57 _let_42 _let_194 _let_196 _let_78 _let_79 _let_195 _let_191 _let_189 _let_197 _let_56 _let_48 _let_45))) :args _let_347)) :args _let_346) _let_246 _let_245 _let_244 _let_243 _let_242 _let_240 _let_72 _let_71 _let_65 (RESOLUTION (CNF_AND_NEG :args (_let_356)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_331 _let_264 _let_256 _let_259 _let_262 _let_228 _let_236 _let_267 _let_114 _let_120 _let_126 _let_279) (SCOPE (TRANS _let_236 _let_351 _let_280 _let_319 _let_286 _let_353 _let_350 (CONG (TRANS _let_352 _let_349 _let_354) _let_340 :args _let_113)) :args (_let_45 _let_194 _let_189 _let_191 _let_195 _let_78 _let_79 _let_196 _let_42 _let_57 _let_48 _let_197))) :args (_let_57 _let_79 _let_78 _let_42 _let_45 _let_48 _let_189 _let_191 _let_194 _let_195 _let_196 _let_197))) :args (true _let_356)) _let_246 _let_245 _let_244 _let_243 _let_242 _let_240 _let_72 _let_71 _let_65 _let_187 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_181 :args (_let_11 QUANTIFIERS_INST_ENUM)) :args _let_180)) _let_309 (REORDERING (CNF_OR_POS :args (_let_208)) :args ((or _let_207 _let_206 (not _let_208)))) _let_310 (REORDERING (RESOLUTION _let_355 (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_120 _let_114 _let_264 _let_267 _let_228 _let_236 _let_262 _let_259 _let_256 _let_279 _let_331 _let_126 _let_172) (SCOPE (TRANS _let_174 (CONG (SYMM _let_343) :args _let_169) (CONG _let_354 :args _let_169) _let_121 _let_236 _let_351 _let_280 _let_319 _let_286 _let_353 _let_350 (CONG _let_141 (TRANS _let_264 _let_339 _let_268 _let_266 _let_115 _let_236 _let_351 _let_280 _let_319 _let_286 _let_353 _let_350 (CONG _let_122 _let_343 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SB_DEFAULT SBA_FIXPOINT))) _let_357 :args (_let_58 true _let_56)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_37)) (MACRO_SR_EQ_INTRO :args (_let_37 SB_DEFAULT SBA_FIXPOINT))) _let_357 :args (_let_57 true _let_56)) _let_357 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (_let_31 tptp.sk_c8 tptp.sk_c5 QUANTIFIERS_INST_CBQI_PROP)) :args _let_75)) _let_76 :args (_let_55 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (_let_31 tptp.sk_c8 tptp.sk_c6 QUANTIFIERS_INST_CBQI_PROP)) :args _let_75)) _let_76 :args (_let_54 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (_let_31 tptp.sk_c8 tptp.sk_c4 QUANTIFIERS_INST_CBQI_PROP)) :args _let_75)) _let_76 :args (_let_53 false _let_38)) _let_77 _let_74 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args _let_73) :args _let_64)) _let_63 :args (_let_49 false _let_62)) _let_72 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (tptp.sk_c6 QUANTIFIERS_INST_ENUM)) :args _let_64)) _let_63 :args (_let_46 false _let_62)) _let_71 _let_69 _let_65 :args (false false _let_61 false _let_60 false _let_59 false _let_58 false _let_57 true _let_56 false _let_55 false _let_54 false _let_53 false _let_52 false _let_51 false _let_49 false _let_48 false _let_46 false _let_45 false _let_44 false _let_42)) :args (_let_40 _let_39 _let_38 _let_37 _let_36 _let_35 _let_34 _let_33 _let_30 _let_29 _let_28 _let_27 _let_26 _let_23 _let_22 _let_21 _let_20 _let_19 _let_16 (or _let_15 _let_10) (or _let_15 _let_8) (or _let_15 _let_6) (or _let_15 _let_3) (or _let_13 _let_12) (or _let_13 _let_10) (or _let_13 _let_8) (or _let_13 _let_6) (or _let_13 _let_3) (or _let_4 _let_12) (or _let_4 _let_10) (or _let_4 _let_8) (or _let_4 _let_6) (or _let_4 _let_3) _let_1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 10.65/10.89 )
% 10.65/10.89 % SZS output end Proof for GRP231-1
% 10.65/10.90 % cvc5---1.0.5 exiting
% 10.65/10.90 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------