TSTP Solution File: GRP300-1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP300-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n013.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 00:25:32 EDT 2023
% Result : Unsatisfiable 6.36s 6.66s
% Output : Proof 6.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP300-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.13 % Command : do_cvc5 %s %d
% 0.15/0.34 % Computer : n013.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Mon Aug 28 22:18:01 EDT 2023
% 0.15/0.34 % CPUTime :
% 0.21/0.47 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.47 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.hsJriB2GIx/cvc5---1.0.5_8418.p...
% 0.21/0.48 ------- get file name : TPTP file name is GRP300-1
% 0.21/0.49 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_8418.smt2...
% 0.21/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 6.36/6.66 % SZS status Unsatisfiable for GRP300-1
% 6.36/6.66 % SZS output start Proof for GRP300-1
% 6.36/6.68 (
% 6.36/6.68 (let ((_let_1 (forall ((X2 $$unsorted) (X1 $$unsorted) (X3 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c5) tptp.sk_c4)) (not (= (tptp.multiply X2 tptp.sk_c6) tptp.sk_c5)) (not (= (tptp.inverse X2) tptp.sk_c6)) (not (= (tptp.multiply tptp.sk_c4 tptp.sk_c6) tptp.sk_c5)) (not (= (tptp.multiply tptp.sk_c5 tptp.sk_c4) tptp.sk_c6)) (not (= (tptp.multiply X1 tptp.sk_c6) tptp.sk_c5)) (not (= (tptp.inverse X1) tptp.sk_c6)) (not (= (tptp.inverse tptp.sk_c6) tptp.sk_c4)) (not (= (tptp.multiply X3 tptp.sk_c4) tptp.sk_c5)) (not (= (tptp.inverse X3) tptp.sk_c4)))))) (let ((_let_2 (tptp.inverse tptp.sk_c3))) (let ((_let_3 (= _let_2 tptp.sk_c4))) (let ((_let_4 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (let ((_let_5 (= _let_4 tptp.sk_c5))) (let ((_let_6 (or _let_5 _let_3))) (let ((_let_7 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (let ((_let_8 (= _let_7 tptp.sk_c5))) (let ((_let_9 (or _let_5 _let_8))) (let ((_let_10 (tptp.inverse tptp.sk_c6))) (let ((_let_11 (= _let_10 tptp.sk_c4))) (let ((_let_12 (or _let_5 _let_11))) (let ((_let_13 (tptp.inverse tptp.sk_c2))) (let ((_let_14 (= _let_13 tptp.sk_c6))) (let ((_let_15 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (let ((_let_16 (= _let_15 tptp.sk_c5))) (let ((_let_17 (tptp.multiply tptp.sk_c5 tptp.sk_c4))) (let ((_let_18 (= _let_17 tptp.sk_c6))) (let ((_let_19 (or _let_5 _let_18))) (let ((_let_20 (tptp.inverse tptp.sk_c1))) (let ((_let_21 (= _let_20 tptp.sk_c6))) (let ((_let_22 (or _let_21 _let_11))) (let ((_let_23 (or _let_21 _let_18))) (let ((_let_24 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (let ((_let_25 (= _let_24 tptp.sk_c5))) (let ((_let_26 (or _let_25 _let_11))) (let ((_let_27 (or _let_25 _let_18))) (let ((_let_28 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (let ((_let_29 (= _let_28 tptp.sk_c4))) (let ((_let_30 (or _let_29 _let_3))) (let ((_let_31 (or _let_29 _let_8))) (let ((_let_32 (or _let_29 _let_11))) (let ((_let_33 (or _let_29 _let_14))) (let ((_let_34 (or _let_29 _let_16))) (let ((_let_35 (or _let_29 _let_18))) (let ((_let_36 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))) (let ((_let_37 (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity)))) (let ((_let_38 (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)))) (let ((_let_39 (tptp.inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_40 (= tptp.identity (tptp.multiply _let_39 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_41 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.sk_c6))) (let ((_let_42 (tptp.multiply tptp.sk_c6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_43 (= (tptp.multiply _let_42 tptp.sk_c6) (tptp.multiply tptp.sk_c6 _let_41)))) (let ((_let_44 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (let ((_let_45 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (let ((_let_46 (= (tptp.multiply _let_4 tptp.sk_c6) (tptp.multiply tptp.sk_c4 _let_45)))) (let ((_let_47 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (let ((_let_48 (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (let ((_let_49 (= _let_48 (tptp.multiply tptp.identity _let_48)))) (let ((_let_50 (= tptp.sk_c4 _let_28))) (let ((_let_51 (= tptp.sk_c6 _let_17))) (let ((_let_52 (= tptp.sk_c5 _let_24))) (let ((_let_53 (= tptp.sk_c5 _let_4))) (let ((_let_54 (= tptp.sk_c5 _let_41))) (let ((_let_55 (= tptp.sk_c6 _let_39))) (let ((_let_56 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))) (let ((_let_57 (EQ_RESOLVE (ASSUME :args (_let_37)) (MACRO_SR_EQ_INTRO :args (_let_37 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_58 (_let_56))) (let ((_let_59 ((tptp.inverse X)))) (let ((_let_60 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_59)) :args _let_58)) _let_57 :args (_let_40 false _let_56)))) (let ((_let_61 (_let_36))) (let ((_let_62 (ASSUME :args _let_61))) (let ((_let_63 ((tptp.multiply X (tptp.multiply Y Z))))) (let ((_let_64 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (tptp.sk_c6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.sk_c6 QUANTIFIERS_INST_E_MATCHING _let_63)) :args _let_61)) _let_62 :args (_let_43 false _let_36)))) (let ((_let_65 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))) (let ((_let_66 (EQ_RESOLVE (ASSUME :args (_let_38)) (MACRO_SR_EQ_INTRO :args (_let_38 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_67 (_let_65))) (let ((_let_68 ((tptp.multiply tptp.identity X)))) (let ((_let_69 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (tptp.sk_c6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_68)) :args _let_67)) _let_66 :args (_let_44 false _let_65)))) (let ((_let_70 ((tptp.multiply (tptp.multiply X Y) Z)))) (let ((_let_71 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (tptp.sk_c4 tptp.sk_c6 tptp.sk_c6 QUANTIFIERS_INST_E_MATCHING _let_70)) :args _let_61)) _let_62 :args (_let_46 false _let_36)))) (let ((_let_72 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (tptp.sk_c4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_68)) :args _let_67)) _let_66 :args (_let_47 false _let_65)))) (let ((_let_73 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (_let_48 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_68)) :args _let_67)) _let_66 :args (_let_49 false _let_65)))) (let ((_let_74 (= tptp.sk_c5 _let_15))) (let ((_let_75 (= tptp.sk_c6 _let_13))) (let ((_let_76 (= tptp.sk_c4 _let_10))) (let ((_let_77 (= tptp.sk_c5 _let_7))) (let ((_let_78 (= tptp.sk_c4 _let_2))) (let ((_let_79 (not _let_78))) (let ((_let_80 (not _let_77))) (let ((_let_81 (or _let_80 _let_79))) (let ((_let_82 (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse X3))))))) (let ((_let_83 (tptp.inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_84 (= tptp.sk_c4 _let_83))) (let ((_let_85 (not _let_84))) (let ((_let_86 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.sk_c4))) (let ((_let_87 (= tptp.sk_c5 _let_86))) (let ((_let_88 (not _let_87))) (let ((_let_89 (or _let_88 _let_85))) (let ((_let_90 (= tptp.identity (tptp.multiply _let_10 tptp.sk_c6)))) (let ((_let_91 (= tptp.identity (tptp.multiply _let_13 tptp.sk_c2)))) (let ((_let_92 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (let ((_let_93 (= (tptp.multiply _let_17 tptp.sk_c5) (tptp.multiply tptp.sk_c5 _let_92)))) (let ((_let_94 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (let ((_let_95 (tptp.multiply _let_94 tptp.sk_c4))) (let ((_let_96 (= _let_95 (tptp.multiply tptp.sk_c2 _let_17)))) (let ((_let_97 (tptp.multiply _let_92 tptp.sk_c4))) (let ((_let_98 (= _let_97 (tptp.multiply tptp.sk_c4 _let_17)))) (let ((_let_99 (tptp.multiply tptp.sk_c4 _let_94))) (let ((_let_100 (tptp.multiply _let_99 tptp.sk_c4))) (let ((_let_101 (= _let_100 (tptp.multiply tptp.sk_c4 _let_95)))) (let ((_let_102 (tptp.multiply tptp.sk_c2 _let_94))) (let ((_let_103 (= (tptp.multiply _let_102 tptp.sk_c4) (tptp.multiply tptp.sk_c2 _let_95)))) (let ((_let_104 (tptp.multiply tptp.sk_c2 _let_86))) (let ((_let_105 (tptp.multiply tptp.sk_c2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_106 (tptp.multiply _let_105 tptp.sk_c4))) (let ((_let_107 (= _let_106 _let_104))) (let ((_let_108 (tptp.multiply tptp.sk_c6 _let_105))) (let ((_let_109 (= (tptp.multiply _let_108 tptp.sk_c4) (tptp.multiply tptp.sk_c6 _let_106)))) (let ((_let_110 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.multiply tptp.identity SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_111 (tptp.multiply _let_86 _let_92))) (let ((_let_112 (tptp.multiply tptp.sk_c4 _let_86))) (let ((_let_113 (= (tptp.multiply _let_112 _let_92) (tptp.multiply tptp.sk_c4 _let_111)))) (let ((_let_114 (= (tptp.multiply _let_97 _let_86) (tptp.multiply _let_92 _let_112)))) (let ((_let_115 (= (tptp.multiply tptp.sk_c5 _let_99) (tptp.multiply _let_17 _let_94)))) (let ((_let_116 (= (tptp.multiply (tptp.multiply _let_86 _let_99) tptp.sk_c4) (tptp.multiply _let_86 _let_100)))) (let ((_let_117 (tptp.multiply tptp.sk_c6 tptp.sk_c2))) (let ((_let_118 (= (tptp.multiply _let_117 _let_86) (tptp.multiply tptp.sk_c6 _let_104)))) (let ((_let_119 (= _let_108 (tptp.multiply _let_117 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_120 (not _let_81))) (let ((_let_121 (REORDERING (CNF_OR_POS :args (_let_81)) :args ((or _let_80 _let_79 _let_120))))) (let ((_let_122 (_let_82))) (let ((_let_123 ((tptp.multiply X3 tptp.sk_c4)))) (let ((_let_124 (ASSUME :args _let_122))) (let ((_let_125 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (tptp.sk_c3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_123)) :args _let_122)))) (let ((_let_126 (or))) (let ((_let_127 (not _let_82))) (let ((_let_128 (_let_127))) (let ((_let_129 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_128)) :args _let_128)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_127) _let_82))) (REFL :args ((not _let_89))) :args _let_126)))) (let ((_let_130 (REFL :args (_let_89)))) (let ((_let_131 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_89 0)) (CONG _let_130 (MACRO_SR_PRED_INTRO :args ((= (not _let_88) _let_87))) :args _let_126)) :args ((or _let_87 _let_89))))) (let ((_let_132 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (tptp.sk_c6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_59)) :args _let_58)) _let_57 :args (_let_90 false _let_56)))) (let ((_let_133 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (tptp.sk_c5 tptp.sk_c4 tptp.sk_c5 QUANTIFIERS_INST_E_MATCHING _let_70)) :args _let_61)) _let_62 :args (_let_93 false _let_36)))) (let ((_let_134 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (tptp.sk_c2 tptp.sk_c5 tptp.sk_c4 QUANTIFIERS_INST_E_MATCHING _let_63)) :args _let_61)) _let_62 :args (_let_96 false _let_36)))) (let ((_let_135 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (tptp.sk_c4 tptp.sk_c5 tptp.sk_c4 QUANTIFIERS_INST_E_MATCHING _let_63)) :args _let_61)) _let_62 :args (_let_98 false _let_36)))) (let ((_let_136 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (tptp.sk_c4 _let_86 _let_92 QUANTIFIERS_INST_E_MATCHING _let_70)) :args _let_61)) _let_62 :args (_let_113 false _let_36)))) (let ((_let_137 (not _let_113))) (let ((_let_138 (not _let_47))) (let ((_let_139 (not _let_96))) (let ((_let_140 (not _let_93))) (let ((_let_141 (not _let_90))) (let ((_let_142 (not _let_76))) (let ((_let_143 (not _let_51))) (let ((_let_144 (and _let_51 _let_74 _let_75 _let_76 _let_87 _let_90 _let_91 _let_93 _let_96 _let_98 _let_101 _let_103 _let_107 _let_47 _let_109 _let_110 _let_113 _let_114 _let_115 _let_116 _let_118 _let_119))) (let ((_let_145 (APPLY_UF tptp.multiply))) (let ((_let_146 (REFL :args (tptp.sk_c5)))) (let ((_let_147 (ASSUME :args (_let_51)))) (let ((_let_148 (SYMM _let_147))) (let ((_let_149 (CONG _let_148 _let_146 :args _let_145))) (let ((_let_150 (ASSUME :args (_let_93)))) (let ((_let_151 (SYMM _let_150))) (let ((_let_152 (ASSUME :args (_let_74)))) (let ((_let_153 (SYMM _let_152))) (let ((_let_154 (REFL :args (tptp.sk_c2)))) (let ((_let_155 (CONG _let_154 _let_148 :args _let_145))) (let ((_let_156 (ASSUME :args (_let_96)))) (let ((_let_157 (SYMM _let_156))) (let ((_let_158 (SYMM _let_157))) (let ((_let_159 (TRANS _let_158 _let_155 _let_153))) (let ((_let_160 (REFL :args (tptp.sk_c4)))) (let ((_let_161 (CONG _let_160 _let_159 :args _let_145))) (let ((_let_162 (ASSUME :args (_let_101)))) (let ((_let_163 (TRANS (SYMM (SYMM _let_162)) _let_161))) (let ((_let_164 (ASSUME :args (_let_87)))) (let ((_let_165 (SYMM _let_164))) (let ((_let_166 (ASSUME :args (_let_116)))) (let ((_let_167 (SYMM (SYMM _let_166)))) (let ((_let_168 (REFL :args (_let_99)))) (let ((_let_169 (ASSUME :args (_let_110)))) (let ((_let_170 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_171 (ASSUME :args (_let_91)))) (let ((_let_172 (ASSUME :args (_let_75)))) (let ((_let_173 (TRANS (CONG (SYMM (SYMM _let_172)) _let_154 :args _let_145) (SYMM _let_171)))) (let ((_let_174 (ASSUME :args (_let_119)))) (let ((_let_175 (CONG (TRANS (SYMM (SYMM _let_174)) (CONG _let_173 _let_170 :args _let_145) (SYMM _let_169)) _let_160 :args _let_145))) (let ((_let_176 (SYMM _let_155))) (let ((_let_177 (TRANS _let_175 _let_165 _let_152 _let_176 _let_157))) (let ((_let_178 (SYMM _let_177))) (let ((_let_179 (TRANS _let_178 _let_175))) (let ((_let_180 (SYMM _let_159))) (let ((_let_181 (ASSUME :args (_let_115)))) (let ((_let_182 (ASSUME :args (_let_103)))) (let ((_let_183 (SYMM _let_182))) (let ((_let_184 (ASSUME :args (_let_107)))) (let ((_let_185 (SYMM _let_184))) (let ((_let_186 (REFL :args (tptp.sk_c6)))) (let ((_let_187 (ASSUME :args (_let_109)))) (let ((_let_188 (SYMM _let_187))) (let ((_let_189 (SYMM _let_175))) (let ((_let_190 (CONG (TRANS _let_189 _let_177 (TRANS _let_158 _let_155 _let_153 _let_164 _let_189 (SYMM _let_188) (CONG _let_186 (TRANS (SYMM _let_185) (CONG _let_154 (SYMM _let_179) :args _let_145) _let_183) :args _let_145) (CONG _let_147 (TRANS (SYMM _let_183) (CONG _let_154 _let_159 :args _let_145)) :args _let_145) (SYMM _let_181)) (TRANS (CONG _let_180 _let_168 :args _let_145) (CONG _let_179 _let_168 :args _let_145))) _let_160 :args _let_145))) (let ((_let_191 (ASSUME :args (_let_118)))) (let ((_let_192 (REFL :args (_let_86)))) (let ((_let_193 (ASSUME :args (_let_90)))) (let ((_let_194 (SYMM _let_193))) (let ((_let_195 (ASSUME :args (_let_76)))) (let ((_let_196 (SYMM _let_195))) (let ((_let_197 (SYMM _let_196))) (let ((_let_198 (CONG _let_197 _let_186 :args _let_145))) (let ((_let_199 (CONG _let_160 _let_148 :args _let_145))) (let ((_let_200 (ASSUME :args (_let_98)))) (let ((_let_201 (SYMM _let_200))) (let ((_let_202 (SYMM _let_201))) (let ((_let_203 (TRANS _let_202 _let_199 _let_198 _let_194))) (let ((_let_204 (ASSUME :args (_let_114)))) (let ((_let_205 (TRANS (SYMM _let_161) (CONG _let_160 _let_179 :args _let_145)))) (let ((_let_206 (ASSUME :args (_let_113)))) (let ((_let_207 (SYMM _let_206))) (let ((_let_208 (ASSUME :args (_let_47)))) (let ((_let_209 (SYMM _let_208))) (let ((_let_210 (SYMM _let_209))) (let ((_let_211 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_144)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_147 _let_150 _let_152 _let_156 _let_164 _let_169 _let_171 _let_172 _let_174 _let_162 _let_166 _let_181 _let_182 _let_184 _let_187 _let_191 _let_193 _let_195 _let_200 _let_204 _let_206 _let_208) (SCOPE (TRANS _let_210 (CONG (TRANS (SYMM _let_203) (TRANS _let_202 _let_199 _let_198 (CONG _let_196 (TRANS _let_147 (CONG _let_180 _let_160 :args _let_145) (CONG _let_179 _let_160 :args _let_145) _let_190 _let_167 (CONG _let_192 _let_163 :args _let_145)) :args _let_145) _let_207 (CONG (SYMM _let_205) _let_205 :args _let_145) (SYMM _let_204) (CONG (TRANS _let_203 (SYMM _let_173)) _let_192 :args _let_145) (SYMM (SYMM _let_191)) (CONG _let_186 _let_185 :args _let_145) _let_188 _let_175 _let_165 _let_152 _let_176 _let_157) _let_178 _let_175) _let_160 :args _let_145) _let_190 _let_167 (CONG _let_165 _let_163 :args _let_145) _let_151 _let_149) :args (_let_51 _let_93 _let_74 _let_96 _let_87 _let_110 _let_91 _let_75 _let_119 _let_101 _let_116 _let_115 _let_103 _let_107 _let_109 _let_118 _let_90 _let_76 _let_98 _let_114 _let_113 _let_47))) :args (_let_51 _let_74 _let_75 _let_76 _let_87 _let_90 _let_91 _let_93 _let_96 _let_98 _let_101 _let_103 _let_107 _let_47 _let_109 _let_110 _let_113 _let_114 _let_115 _let_116 _let_118 _let_119))) :args (true _let_144)) :args ((or _let_50 _let_143 _let_142 (not _let_74) (not _let_75) _let_88 _let_141 (not _let_91) _let_140 _let_139 (not _let_98) (not _let_101) (not _let_103) (not _let_107) _let_138 (not _let_109) (not _let_110) _let_137 (not _let_114) (not _let_115) (not _let_116) (not _let_118) (not _let_119)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_62 :args (tptp.sk_c6 tptp.sk_c2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_63)) :args _let_61))) _let_62 :args (_let_119 false _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (tptp.sk_c6 tptp.sk_c2 _let_86 QUANTIFIERS_INST_E_MATCHING _let_63)) :args _let_61)) _let_62 :args (_let_118 false _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (_let_86 _let_99 tptp.sk_c4 QUANTIFIERS_INST_E_MATCHING _let_63)) :args _let_61)) _let_62 :args (_let_116 false _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_62 :args (tptp.sk_c5 tptp.sk_c4 _let_94 QUANTIFIERS_INST_E_MATCHING _let_63)) :args _let_61))) _let_62 :args (_let_115 false _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (_let_92 tptp.sk_c4 _let_86 QUANTIFIERS_INST_E_MATCHING _let_63)) :args _let_61)) _let_62 :args (_let_114 false _let_36)) _let_136 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_68)) :args _let_67)) _let_66 :args (_let_110 false _let_65)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (tptp.sk_c6 _let_105 tptp.sk_c4 QUANTIFIERS_INST_E_MATCHING _let_63)) :args _let_61)) _let_62 :args (_let_109 false _let_36)) _let_72 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (tptp.sk_c2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.sk_c4 QUANTIFIERS_INST_E_MATCHING _let_63)) :args _let_61)) _let_62 :args (_let_107 false _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (tptp.sk_c2 _let_94 tptp.sk_c4 QUANTIFIERS_INST_E_MATCHING _let_63)) :args _let_61)) _let_62 :args (_let_103 false _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (tptp.sk_c4 _let_94 tptp.sk_c4 QUANTIFIERS_INST_E_MATCHING _let_63)) :args _let_61)) _let_62 :args (_let_101 false _let_36)) _let_135 _let_134 _let_133 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (tptp.sk_c2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_59)) :args _let_58)) _let_57 :args (_let_91 false _let_56)) _let_132 _let_131 _let_129 _let_125 _let_121 (EQ_RESOLVE (ASSUME :args (_let_30)) (MACRO_SR_EQ_INTRO :args (_let_30 SB_DEFAULT SBA_FIXPOINT))) (EQ_RESOLVE (ASSUME :args (_let_31)) (MACRO_SR_EQ_INTRO :args (_let_31 SB_DEFAULT SBA_FIXPOINT))) (EQ_RESOLVE (ASSUME :args (_let_32)) (MACRO_SR_EQ_INTRO :args (_let_32 SB_DEFAULT SBA_FIXPOINT))) (EQ_RESOLVE (ASSUME :args (_let_33)) (MACRO_SR_EQ_INTRO :args (_let_33 SB_DEFAULT SBA_FIXPOINT))) (EQ_RESOLVE (ASSUME :args (_let_34)) (MACRO_SR_EQ_INTRO :args (_let_34 SB_DEFAULT SBA_FIXPOINT))) (EQ_RESOLVE (ASSUME :args (_let_35)) (MACRO_SR_EQ_INTRO :args (_let_35 SB_DEFAULT SBA_FIXPOINT))) :args (_let_50 false _let_119 false _let_118 false _let_116 false _let_115 false _let_114 false _let_113 false _let_110 false _let_109 false _let_47 false _let_107 false _let_103 false _let_101 false _let_98 false _let_96 false _let_93 false _let_91 false _let_90 false _let_87 true _let_89 true _let_82 true _let_81 false _let_78 false _let_77 false _let_76 false _let_75 false _let_74 false _let_51)))) (let ((_let_212 (= tptp.sk_c6 _let_20))) (let ((_let_213 (not _let_212))) (let ((_let_214 (not _let_52))) (let ((_let_215 (or _let_214 _let_213))) (let ((_let_216 (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X2))))))) (let ((_let_217 (not _let_55))) (let ((_let_218 (not _let_54))) (let ((_let_219 (or _let_218 _let_217))) (let ((_let_220 (= tptp.sk_c4 _let_20))) (let ((_let_221 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_48))) (let ((_let_222 (= (tptp.multiply _let_41 tptp.sk_c4) _let_221))) (let ((_let_223 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c5) tptp.sk_c4) (tptp.multiply tptp.sk_c1 _let_17)))) (let ((_let_224 (= (tptp.multiply (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.sk_c5) tptp.sk_c4) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_17)))) (let ((_let_225 (tptp.multiply _let_48 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_226 (= (tptp.multiply _let_221 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_225)))) (let ((_let_227 (tptp.multiply _let_48 tptp.sk_c4))) (let ((_let_228 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_227))) (let ((_let_229 (= (tptp.multiply _let_221 tptp.sk_c4) _let_228))) (let ((_let_230 (tptp.multiply tptp.sk_c2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_231 (tptp.multiply _let_230 _let_48))) (let ((_let_232 (= _let_231 (tptp.multiply tptp.sk_c2 _let_221)))) (let ((_let_233 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_234 (tptp.multiply _let_233 _let_48))) (let ((_let_235 (= _let_234 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_221)))) (let ((_let_236 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.multiply tptp.identity SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_237 (tptp.multiply tptp.sk_c6 _let_233))) (let ((_let_238 (= (tptp.multiply _let_42 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) _let_237))) (let ((_let_239 (tptp.multiply _let_48 tptp.sk_c6))) (let ((_let_240 (= (tptp.multiply _let_221 tptp.sk_c6) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_239)))) (let ((_let_241 (tptp.multiply tptp.sk_c4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_242 (tptp.multiply tptp.sk_c6 _let_241))) (let ((_let_243 (= _let_225 _let_242))) (let ((_let_244 (tptp.multiply _let_42 _let_48))) (let ((_let_245 (= _let_244 (tptp.multiply tptp.sk_c6 _let_221)))) (let ((_let_246 (= (tptp.multiply _let_237 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.multiply tptp.sk_c6 (tptp.multiply _let_233 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_247 (tptp.multiply _let_230 tptp.sk_c6))) (let ((_let_248 (= _let_247 (tptp.multiply tptp.sk_c2 _let_41)))) (let ((_let_249 (= (tptp.multiply _let_241 tptp.sk_c6) (tptp.multiply tptp.sk_c4 _let_41)))) (let ((_let_250 (= (tptp.multiply _let_233 tptp.sk_c6) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_41)))) (let ((_let_251 (tptp.multiply _let_227 tptp.sk_c6))) (let ((_let_252 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_251))) (let ((_let_253 (= (tptp.multiply _let_228 tptp.sk_c6) _let_252))) (let ((_let_254 (tptp.multiply _let_42 _let_227))) (let ((_let_255 (= (tptp.multiply _let_244 tptp.sk_c4) _let_254))) (let ((_let_256 (tptp.multiply _let_225 tptp.sk_c6))) (let ((_let_257 (= _let_256 (tptp.multiply _let_48 _let_41)))) (let ((_let_258 (= (tptp.multiply _let_45 _let_233) (tptp.multiply tptp.sk_c6 _let_237)))) (let ((_let_259 (= (tptp.multiply _let_41 _let_233) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_237)))) (let ((_let_260 (tptp.multiply _let_4 _let_233))) (let ((_let_261 (= _let_260 (tptp.multiply tptp.sk_c4 _let_237)))) (let ((_let_262 (= (tptp.multiply _let_15 _let_233) (tptp.multiply tptp.sk_c2 _let_237)))) (let ((_let_263 (= (tptp.multiply _let_239 _let_233) (tptp.multiply _let_48 _let_237)))) (let ((_let_264 (= (tptp.multiply _let_41 _let_241) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_242)))) (let ((_let_265 (= _let_42 (tptp.multiply tptp.identity _let_42)))) (let ((_let_266 (tptp.multiply _let_233 _let_256))) (let ((_let_267 (tptp.multiply tptp.sk_c6 _let_266))) (let ((_let_268 (= (tptp.multiply _let_267 _let_241) (tptp.multiply tptp.sk_c6 (tptp.multiply _let_266 _let_241))))) (let ((_let_269 (= (tptp.multiply _let_267 _let_233) (tptp.multiply tptp.sk_c6 (tptp.multiply _let_266 _let_233))))) (let ((_let_270 (= (tptp.multiply _let_252 _let_233) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.multiply _let_251 _let_233))))) (let ((_let_271 (= (tptp.multiply _let_254 tptp.sk_c6) (tptp.multiply _let_42 _let_251)))) (let ((_let_272 (tptp.multiply tptp.sk_c2 tptp.sk_c2))) (let ((_let_273 (tptp.multiply _let_272 _let_94))) (let ((_let_274 (tptp.multiply tptp.sk_c2 _let_102))) (let ((_let_275 (= _let_274 _let_273))) (let ((_let_276 (= (tptp.multiply _let_233 _let_251) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_252)))) (let ((_let_277 (= (tptp.multiply (tptp.multiply _let_41 _let_4) _let_233) (tptp.multiply _let_41 _let_260)))) (let ((_let_278 (= (tptp.multiply _let_233 (tptp.multiply _let_48 tptp.sk_c5)) (tptp.multiply _let_234 tptp.sk_c5)))) (let ((_let_279 (tptp.multiply tptp.sk_c2 _let_272))) (let ((_let_280 (tptp.multiply _let_279 _let_94))) (let ((_let_281 (= _let_280 (tptp.multiply tptp.sk_c2 _let_273)))) (let ((_let_282 (tptp.multiply tptp.sk_c2 _let_274))) (let ((_let_283 (tptp.inverse _let_282))) (let ((_let_284 (= tptp.identity (tptp.multiply _let_283 _let_282)))) (let ((_let_285 (tptp.multiply _let_280 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_286 (= _let_285 (tptp.multiply _let_279 (tptp.multiply _let_94 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_287 (= (tptp.multiply _let_231 _let_42) (tptp.multiply _let_230 (tptp.multiply _let_48 _let_42))))) (let ((_let_288 (tptp.multiply tptp.sk_c4 _let_42))) (let ((_let_289 (= (tptp.multiply _let_247 _let_288) (tptp.multiply _let_230 (tptp.multiply tptp.sk_c6 _let_288))))) (let ((_let_290 (tptp.multiply _let_279 _let_230))) (let ((_let_291 (tptp.multiply _let_290 tptp.sk_c6))) (let ((_let_292 (= _let_291 (tptp.multiply _let_279 _let_247)))) (let ((_let_293 (= (tptp.multiply (tptp.multiply _let_283 _let_290) tptp.sk_c6) (tptp.multiply _let_283 _let_291)))) (let ((_let_294 (= (tptp.multiply (tptp.multiply _let_283 _let_280) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.multiply _let_283 _let_285)))) (let ((_let_295 (= tptp.sk_c5 _let_48))) (let ((_let_296 (not _let_295))) (let ((_let_297 (or _let_296 _let_142))) (let ((_let_298 (= tptp.identity (tptp.multiply _let_83 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_299 (tptp.multiply tptp.sk_c4 _let_92))) (let ((_let_300 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_299))) (let ((_let_301 (= _let_111 _let_300))) (let ((_let_302 (tptp.multiply tptp.sk_c6 _let_86))) (let ((_let_303 (= (tptp.multiply (tptp.multiply tptp.sk_c6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) tptp.sk_c4) _let_302))) (let ((_let_304 (tptp.multiply tptp.sk_c4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_305 (= (tptp.multiply _let_304 tptp.sk_c4) _let_112))) (let ((_let_306 (= (tptp.multiply _let_300 tptp.sk_c4) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.multiply _let_299 tptp.sk_c4))))) (let ((_let_307 (= (tptp.multiply _let_304 _let_299) (tptp.multiply tptp.sk_c4 _let_300)))) (let ((_let_308 (= _let_299 (tptp.multiply tptp.identity _let_299)))) (let ((_let_309 (= (tptp.multiply _let_111 _let_92) (tptp.multiply _let_86 (tptp.multiply _let_92 _let_92))))) (let ((_let_310 (= (tptp.multiply _let_111 tptp.sk_c6) (tptp.multiply _let_86 (tptp.multiply _let_92 tptp.sk_c6))))) (let ((_let_311 (= (tptp.multiply _let_17 _let_86) (tptp.multiply tptp.sk_c5 _let_112)))) (let ((_let_312 (tptp.multiply tptp.sk_c4 tptp.sk_c4))) (let ((_let_313 (= (tptp.multiply tptp.sk_c4 _let_299) (tptp.multiply _let_312 _let_92)))) (let ((_let_314 (tptp.multiply _let_86 tptp.sk_c4))) (let ((_let_315 (= (tptp.multiply _let_314 _let_86) (tptp.multiply _let_86 _let_112)))) (let ((_let_316 (= (tptp.multiply _let_302 _let_92) (tptp.multiply tptp.sk_c6 _let_111)))) (let ((_let_317 (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X1 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X1))))))) (let ((_let_318 (= tptp.sk_c6 _let_10))) (let ((_let_319 (not _let_318))) (let ((_let_320 (= tptp.sk_c5 _let_45))) (let ((_let_321 (not _let_320))) (let ((_let_322 (or _let_321 _let_319))) (let ((_let_323 (= _let_314 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_312)))) (let ((_let_324 (= (tptp.multiply _let_300 _let_92) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.multiply _let_299 _let_92))))) (let ((_let_325 (= 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(SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_48 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_70)) :args _let_61)) _let_62 :args (_let_226 false _let_36)) _let_69 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.sk_c5 tptp.sk_c4 QUANTIFIERS_INST_E_MATCHING _let_63)) :args _let_61)) _let_62 :args (_let_224 false _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (tptp.sk_c1 tptp.sk_c5 tptp.sk_c4 QUANTIFIERS_INST_E_MATCHING _let_63)) :args _let_61)) _let_62 :args (_let_223 false _let_36)) _let_134 _let_64 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.sk_c6 tptp.sk_c4 QUANTIFIERS_INST_E_MATCHING _let_70)) :args _let_61)) _let_62 :args (_let_222 false _let_36)) _let_60 (RESOLUTION (CNF_AND_NEG :args (_let_446)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_447 _let_388 _let_449 _let_452 _let_458 _let_460 _let_366) (SCOPE (TRANS _let_463 (CONG _let_186 _let_462 :args _let_145) _let_459 _let_457 _let_389 (SYMM _let_448)) :args (_let_212 _let_44 _let_40 _let_55 _let_43 _let_54 _let_50))) :args (_let_50 _let_212 _let_54 _let_55 _let_40 _let_43 _let_44))) :args (true _let_446)) _let_211 _let_69 _let_64 _let_60 _let_445 _let_444 _let_442 _let_439 _let_438 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_76 _let_53))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_22)) (MACRO_SR_EQ_INTRO :args (_let_22 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_76 _let_212))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_26)) (MACRO_SR_EQ_INTRO :args (_let_26 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_76 _let_52))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_432)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_147 _let_433 _let_195 _let_193 _let_208) (SCOPE (TRANS _let_435 (CONG _let_160 _let_147 :args _let_145) (CONG (TRANS _let_208 (SYMM _let_436) _let_148) (TRANS _let_436 _let_209) :args _let_145)) :args (_let_51 _let_53 _let_76 _let_90 _let_47))) :args (_let_51 _let_76 _let_53 _let_90 _let_47))) :args (true _let_432)) :args ((or _let_394 _let_143 _let_142 _let_141 _let_138 _let_295))) _let_72 _let_132 (MACRO_RESOLUTION_TRUST _let_121 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_78 _let_53))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_77 _let_53))) :args ((or _let_53 _let_120) false _let_78 false _let_77)) (REORDERING (CNF_OR_POS :args (_let_297)) :args ((or _let_142 _let_296 (not _let_297)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (tptp.sk_c6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_123)) :args _let_122)) _let_125 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_322)) :args ((or _let_321 _let_319 (not 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_let_405 :args _let_145) _let_414 _let_372 _let_424 _let_427) :args (_let_51 _let_87 _let_323 _let_50 _let_93 _let_301 _let_307 _let_84 _let_298 _let_316 _let_49 _let_324 _let_305 _let_47 _let_325 _let_46 _let_98 _let_76 _let_90 _let_44))) :args (_let_50 _let_51 _let_76 _let_87 _let_84 _let_90 _let_298 _let_93 _let_98 _let_44 _let_46 _let_323 _let_301 _let_305 _let_47 _let_49 _let_324 _let_307 _let_325 _let_316))) :args (true _let_419)) _let_211 _let_330 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_62 :args (tptp.sk_c4 tptp.sk_c4 tptp.sk_c4 QUANTIFIERS_INST_E_MATCHING _let_63)) :args _let_61))) _let_62 :args (_let_325 false _let_36)) _let_329 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_299 _let_92 QUANTIFIERS_INST_E_MATCHING _let_70)) :args _let_61)) _let_62 :args (_let_324 false _let_36)) _let_73 _let_72 _let_328 _let_327 _let_400 _let_71 _let_69 _let_135 _let_133 _let_326 _let_132 (RESOLUTION (CNF_AND_NEG :args (_let_401)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_195 _let_366 _let_147 _let_150 _let_164 _let_354 _let_372 _let_411 _let_335 _let_337 _let_357 _let_417) (SCOPE (TRANS _let_147 (CONG _let_164 _let_160 :args _let_145) (SYMM _let_418) (CONG _let_170 (TRANS (CONG _let_160 _let_409 :args _let_145) (CONG _let_160 _let_354 :args _let_145) (SYMM _let_359) (CONG (TRANS _let_339 (SYMM _let_416)) (TRANS _let_415 _let_414 _let_372 (SYMM _let_410)) :args _let_145) (SYMM _let_413) _let_410 _let_373 _let_406 _let_404) :args _let_145) _let_355 _let_402 _let_151 _let_149 _let_367 _let_197) :args (_let_76 _let_50 _let_51 _let_93 _let_87 _let_301 _let_316 _let_49 _let_298 _let_84 _let_307 _let_323))) :args (_let_50 _let_51 _let_76 _let_87 _let_84 _let_298 _let_93 _let_323 _let_301 _let_49 _let_307 _let_316))) :args (true _let_401)) _let_211 _let_330 _let_329 _let_73 _let_327 _let_400 _let_133 _let_326 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_399 :args (tptp.sk_c6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_398)) :args _let_397)) (EQUIV_ELIM2 _let_396) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))) _let_211 (REORDERING (EQUIV_ELIM1 _let_396) :args ((or _let_317 _let_395))) :args ((or _let_394 _let_143 _let_142 _let_317 _let_82) false _let_50 true _let_216)) (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_334)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_208 _let_335 _let_337 _let_341 _let_164 _let_147 _let_354 _let_357 _let_362 _let_366 _let_368 _let_372 _let_375 _let_206 _let_377 _let_378 _let_380 _let_382 _let_195 _let_193 _let_388 _let_150 _let_391 _let_392) (SCOPE (TRANS _let_343 (CONG _let_170 (TRANS _let_366 (CONG (TRANS (SYMM _let_393) _let_384) _let_146 :args _let_145) (CONG (TRANS _let_383 _let_393 _let_374 _let_349) _let_343 :args _let_145) (SYMM (SYMM _let_392)) (CONG _let_165 (REFL :args (_let_112)) :args _let_145) (SYMM _let_391) (CONG (REFL :args (_let_17)) _let_165 :args _let_145) (SYMM _let_151) (CONG _let_343 _let_376 :args _let_145) _let_349 _let_348 _let_148 _let_390 _let_387 _let_384 (CONG _let_352 _let_381 :args _let_145) (CONG (SYMM _let_352) (TRANS (CONG _let_186 _let_374 :args _let_145) _let_373 _let_371 _let_365) :args _let_145)) :args _let_145) (CONG _let_170 (TRANS (SYMM (SYMM _let_380)) (CONG _let_379 _let_345 :args _let_145) (CONG (TRANS (CONG (SYMM _let_370) _let_351 :args _let_145) _let_371 _let_365) _let_160 :args _let_145)) :args _let_145) (SYMM _let_378) (CONG _let_355 _let_351 :args _let_145) (SYMM (SYMM _let_377)) (CONG _let_192 (TRANS (CONG _let_376 _let_344 :args _let_145) (CONG _let_344 _let_346 :args _let_145) (SYMM _let_207) (SYMM _let_356) _let_358 (SYMM _let_361) _let_363) :args _let_145) (CONG _let_192 (TRANS _let_364 _let_361 _let_359 _let_356 _let_353 _let_347) :args _let_145) (SYMM _let_375) (CONG _let_350 _let_374 :args _let_145) _let_373 _let_371 _let_365 _let_364 _let_361 _let_359 _let_356 _let_353 _let_347 (CONG _let_345 _let_186 :args _let_145)) :args (_let_47 _let_298 _let_84 _let_305 _let_87 _let_51 _let_301 _let_307 _let_308 _let_50 _let_303 _let_316 _let_310 _let_113 _let_309 _let_306 _let_313 _let_46 _let_76 _let_90 _let_44 _let_93 _let_311 _let_315))) :args (_let_50 _let_51 _let_76 _let_87 _let_84 _let_90 _let_298 _let_93 _let_44 _let_46 _let_301 _let_303 _let_305 _let_47 _let_306 _let_307 _let_308 _let_113 _let_309 _let_310 _let_311 _let_313 _let_315 _let_316))) :args (true _let_334)) :args ((or _let_53 _let_333 _let_143 _let_142 _let_88 _let_85 _let_141 (not _let_298) _let_140 _let_332 _let_331 (not _let_301) (not _let_303) (not _let_305) _let_138 (not _let_306) (not _let_307) (not _let_308) _let_137 (not _let_309) (not _let_310) (not _let_311) (not _let_313) (not _let_315) (not _let_316)))) _let_211 _let_330 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (_let_86 tptp.sk_c4 _let_86 QUANTIFIERS_INST_E_MATCHING _let_63)) :args _let_61)) _let_62 :args (_let_315 false _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_62 :args (tptp.sk_c4 tptp.sk_c4 _let_92 QUANTIFIERS_INST_E_MATCHING _let_63)) :args _let_61))) _let_62 :args (_let_313 false _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (tptp.sk_c5 tptp.sk_c4 _let_86 QUANTIFIERS_INST_E_MATCHING _let_63)) :args _let_61)) _let_62 :args (_let_311 false _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (_let_86 _let_92 tptp.sk_c6 QUANTIFIERS_INST_E_MATCHING _let_70)) :args _let_61)) _let_62 :args (_let_310 false _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (_let_86 _let_92 _let_92 QUANTIFIERS_INST_E_MATCHING _let_70)) :args _let_61)) _let_62 :args (_let_309 false _let_36)) _let_136 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (_let_299 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_68)) :args _let_67)) _let_66 :args (_let_308 false _let_65)) _let_329 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_299 tptp.sk_c4 QUANTIFIERS_INST_E_MATCHING _let_70)) :args _let_61)) _let_62 :args (_let_306 false _let_36)) _let_72 _let_328 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (tptp.sk_c6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.sk_c4 QUANTIFIERS_INST_E_MATCHING _let_63)) :args _let_61)) _let_62 :args (_let_303 false _let_36)) _let_327 _let_71 _let_69 _let_133 _let_326 _let_132 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_89 1)) (CONG _let_130 (MACRO_SR_PRED_INTRO :args ((= (not _let_85) _let_84))) :args _let_126)) :args ((or _let_84 _let_89))) _let_131 _let_129 :args ((or _let_143 _let_142 _let_82) false _let_320 false _let_50 false _let_316 false _let_325 false _let_307 false _let_324 false _let_49 false _let_47 false _let_305 false _let_301 false _let_323 false _let_46 false _let_44 false _let_98 false _let_93 false _let_298 false _let_90 false _let_318 false _let_50 false _let_316 false _let_307 false _let_49 false _let_301 false _let_323 false _let_93 false _let_298 false _let_322 false _let_216 false _let_317 false _let_53 false _let_50 false _let_316 false _let_315 false _let_313 false _let_311 false _let_310 false _let_309 false _let_113 false _let_308 false _let_307 false _let_306 false _let_47 false _let_305 false _let_303 false _let_301 false _let_46 false _let_44 false _let_93 false _let_298 false _let_90 false _let_84 false _let_87 true _let_89)) :args ((or _let_143 _let_142) false _let_47 false _let_90 false _let_53 true _let_295 false _let_297 false _let_81 false _let_82)) :args (_let_143 false _let_294 false _let_293 false _let_292 false _let_289 false _let_287 false _let_286 false _let_284 false _let_281 false _let_50 false _let_278 false _let_277 false _let_276 false _let_275 false _let_271 false _let_270 false _let_269 false _let_268 false _let_265 false _let_264 false _let_263 false _let_262 false _let_261 false _let_259 false _let_258 false _let_257 false _let_255 false _let_253 false _let_250 false _let_249 false _let_248 false _let_246 false _let_49 false _let_47 false _let_245 false _let_243 false _let_240 false _let_238 false _let_236 false _let_235 false _let_232 false _let_229 false _let_226 false _let_44 false _let_224 false _let_223 false _let_96 false _let_43 false _let_222 false _let_40 false _let_220 false _let_50 false _let_44 false _let_43 false _let_40 false _let_55 false _let_54 true _let_219 true _let_216 true _let_215 false _let_53 false _let_212 false _let_52 true _let_76)))) (let ((_let_635 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (ASSUME :args (_let_27)) (MACRO_SR_EQ_INTRO :args (_let_27 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_51 _let_52))) _let_634 :args (_let_52 true _let_51)))) (let ((_let_636 (MACRO_RESOLUTION_TRUST _let_442 (MACRO_RESOLUTION_TRUST _let_439 (MACRO_RESOLUTION_TRUST _let_438 _let_635 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (ASSUME :args (_let_23)) (MACRO_SR_EQ_INTRO :args (_let_23 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_51 _let_212))) _let_634 :args (_let_212 true _let_51)) :args (_let_437 false _let_52 false _let_212)) :args (_let_395 true _let_215)) :args (_let_440 true _let_216)))) (let ((_let_637 (and _let_50 _let_52 _let_53 _let_54 _let_55 _let_40 _let_43 _let_44 _let_46 _let_47 _let_49))) (let ((_let_638 (CONG _let_186 _let_461 :args _let_145))) (let ((_let_639 (SYMM _let_459))) (let ((_let_640 (TRANS (SYMM _let_450) (CONG _let_453 _let_451 :args _let_145)))) (let ((_let_641 (CONG _let_640 _let_186 :args _let_145))) (let ((_let_642 (TRANS _let_390 _let_641 _let_639 _let_638 _let_367))) (let ((_let_643 (SYMM _let_640))) (let ((_let_644 (TRANS (CONG _let_643 _let_160 :args _let_145) _let_209))) (let ((_let_645 (SYMM _let_644))) (let ((_let_646 (TRANS _let_642 _let_645))) (let ((_let_647 (SYMM _let_642))) (let ((_let_648 (CONG _let_643 _let_561 :args _let_145))) (let ((_let_649 (SYMM _let_646))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_637)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_528 _let_366 _let_460 _let_458 _let_452 _let_449 _let_388 _let_433 _let_382 _let_208 _let_411) (SCOPE (TRANS _let_390 _let_641 _let_639 _let_638 (CONG _let_642 (TRANS _let_433 (CONG _let_160 _let_642 :args _let_145) (CONG _let_645 _let_647 :args _let_145) (CONG _let_649 _let_642 :args _let_145)) :args _let_145) (CONG _let_645 (TRANS _let_411 (SYMM _let_648)) :args _let_145) (CONG _let_649 (TRANS _let_648 _let_412 (CONG _let_186 _let_647 :args _let_145)) :args _let_145) (CONG _let_646 _let_381 :args _let_145) (CONG _let_644 _let_381 :args _let_145) _let_383 (CONG _let_434 _let_186 :args _let_145) (CONG _let_528 _let_186 :args _let_145) (CONG _let_529 _let_642 :args _let_145)) :args (_let_52 _let_50 _let_54 _let_43 _let_55 _let_40 _let_44 _let_53 _let_46 _let_47 _let_49))) :args (_let_50 _let_52 _let_53 _let_54 _let_55 _let_40 _let_43 _let_44 _let_46 _let_47 _let_49))) :args (true _let_637)) :args ((or _let_51 _let_333 _let_394 _let_214 _let_218 _let_217 _let_509 _let_507 _let_332 _let_331 _let_138 _let_495))) (MACRO_RESOLUTION_TRUST _let_445 _let_636 :args (_let_55 true _let_219)) (MACRO_RESOLUTION_TRUST _let_444 _let_636 :args (_let_54 true _let_219)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_51 _let_53))) _let_634 :args (_let_53 true _let_51)) _let_635 _let_634 _let_211 _let_73 _let_72 _let_71 _let_69 _let_64 _let_60 :args (false false _let_55 false _let_54 false _let_53 false _let_52 true _let_51 false _let_50 false _let_49 false _let_47 false _let_46 false _let_44 false _let_43 false _let_40)) :args (_let_38 _let_37 _let_36 _let_35 _let_34 _let_33 _let_32 _let_31 _let_30 _let_27 (or _let_25 _let_16) (or _let_25 _let_14) _let_26 (or _let_25 _let_8) (or _let_25 _let_3) _let_23 (or _let_21 _let_16) (or _let_21 _let_14) _let_22 (or _let_21 _let_8) (or _let_21 _let_3) _let_19 (or _let_5 _let_16) (or _let_5 _let_14) _let_12 _let_9 _let_6 _let_1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 6.36/6.69 )
% 6.53/6.72 % SZS output end Proof for GRP300-1
% 6.53/6.72 % cvc5---1.0.5 exiting
% 6.53/6.72 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------