TSTP Solution File: GRP344-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP344-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n027.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 00:25:43 EDT 2023
% Result : Unsatisfiable 8.47s 8.71s
% Output : Proof 8.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP344-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n027.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 20:08:22 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.49 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.t9KeoS6yPC/cvc5---1.0.5_24884.p...
% 0.21/0.50 ------- get file name : TPTP file name is GRP344-1
% 0.21/0.50 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_24884.smt2...
% 0.21/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 8.47/8.71 % SZS status Unsatisfiable for GRP344-1
% 8.47/8.71 % SZS output start Proof for GRP344-1
% 8.57/8.79 (
% 8.57/8.79 (let ((_let_1 (forall ((X3 $$unsorted) (X4 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) (not (= (tptp.inverse X3) tptp.sk_c7)) (not (= (tptp.multiply X3 tptp.sk_c6) tptp.sk_c7)) (not (= (tptp.inverse X4) tptp.sk_c6)) (not (= (tptp.multiply X4 tptp.sk_c5) tptp.sk_c6)) (not (= (tptp.multiply X1 tptp.sk_c6) tptp.sk_c7)) (not (= (tptp.inverse X1) tptp.sk_c6)) (not (= (tptp.inverse X2) tptp.sk_c5)) (not (= (tptp.multiply X2 tptp.sk_c6) tptp.sk_c5)))))) (let ((_let_2 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (let ((_let_3 (= _let_2 tptp.sk_c5))) (let ((_let_4 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (let ((_let_5 (= _let_4 tptp.sk_c6))) (let ((_let_6 (tptp.inverse tptp.sk_c4))) (let ((_let_7 (= _let_6 tptp.sk_c5))) (let ((_let_8 (tptp.inverse tptp.sk_c3))) (let ((_let_9 (= _let_8 tptp.sk_c6))) (let ((_let_10 (or _let_5 _let_9))) (let ((_let_11 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (let ((_let_12 (= _let_11 tptp.sk_c7))) (let ((_let_13 (or _let_5 _let_12))) (let ((_let_14 (tptp.inverse tptp.sk_c2))) (let ((_let_15 (= _let_14 tptp.sk_c6))) (let ((_let_16 (or _let_15 _let_9))) (let ((_let_17 (or _let_15 _let_12))) (let ((_let_18 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (let ((_let_19 (= _let_18 tptp.sk_c7))) (let ((_let_20 (or _let_19 _let_3))) (let ((_let_21 (or _let_19 _let_7))) (let ((_let_22 (or _let_19 _let_9))) (let ((_let_23 (or _let_19 _let_12))) (let ((_let_24 (tptp.inverse tptp.sk_c1))) (let ((_let_25 (= _let_24 tptp.sk_c7))) (let ((_let_26 (or _let_25 _let_3))) (let ((_let_27 (or _let_25 _let_7))) (let ((_let_28 (or _let_25 _let_9))) (let ((_let_29 (or _let_25 _let_12))) (let ((_let_30 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (let ((_let_31 (= _let_30 tptp.sk_c5))) (let ((_let_32 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))) (let ((_let_33 (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity)))) (let ((_let_34 (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)))) (let ((_let_35 (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X1))))))) (let ((_let_36 (tptp.inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_37 (= tptp.sk_c6 _let_36))) (let ((_let_38 (not _let_37))) (let ((_let_39 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.sk_c6))) (let ((_let_40 (= tptp.sk_c7 _let_39))) (let ((_let_41 (not _let_40))) (let ((_let_42 (or _let_41 _let_38))) (let ((_let_43 (tptp.inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_44 (= tptp.sk_c6 _let_43))) (let ((_let_45 (not _let_44))) (let ((_let_46 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.sk_c6))) (let ((_let_47 (= tptp.sk_c7 _let_46))) (let ((_let_48 (not _let_47))) (let ((_let_49 (or _let_48 _let_45))) (let ((_let_50 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.sk_c5))) (let ((_let_51 (= tptp.sk_c6 _let_50))) (let ((_let_52 (not _let_51))) (let ((_let_53 (or _let_38 _let_52))) (let ((_let_54 (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X4))) (not (= tptp.sk_c6 (tptp.multiply X4 tptp.sk_c5))))))) (let ((_let_55 (not _let_53))) (let ((_let_56 (= tptp.sk_c6 _let_4))) (let ((_let_57 (not _let_56))) (let ((_let_58 (= tptp.sk_c6 _let_14))) (let ((_let_59 (not _let_58))) (let ((_let_60 (or _let_59 _let_57))) (let ((_let_61 (not _let_54))) (let ((_let_62 (not _let_60))) (let ((_let_63 (= tptp.sk_c7 _let_11))) (let ((_let_64 (= tptp.sk_c6 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.sk_c5)))) (let ((_let_65 (not _let_64))) (let ((_let_66 (or _let_45 _let_65))) (let ((_let_67 (= tptp.sk_c6 _let_8))) (let ((_let_68 (not _let_67))) (let ((_let_69 (not _let_63))) (let ((_let_70 (or _let_69 _let_68))) (let ((_let_71 (= tptp.sk_c5 _let_30))) (let ((_let_72 (tptp.multiply _let_24 tptp.sk_c1))) (let ((_let_73 (= tptp.identity _let_72))) (let ((_let_74 (= tptp.identity (tptp.multiply _let_43 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_75 (tptp.multiply tptp.sk_c6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_76 (= (tptp.multiply _let_75 tptp.sk_c6) (tptp.multiply tptp.sk_c6 _let_46)))) (let ((_let_77 (tptp.multiply _let_24 _let_18))) (let ((_let_78 (= (tptp.multiply _let_72 tptp.sk_c6) _let_77))) (let ((_let_79 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (let ((_let_80 (tptp.multiply _let_18 tptp.sk_c7))) (let ((_let_81 (= _let_80 (tptp.multiply tptp.sk_c1 _let_30)))) (let ((_let_82 (= tptp.sk_c7 _let_18))) (let ((_let_83 (= tptp.sk_c7 _let_24))) (let ((_let_84 (= tptp.identity (tptp.multiply _let_14 tptp.sk_c2)))) (let ((_let_85 (tptp.multiply tptp.sk_c1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_86 (tptp.multiply _let_85 tptp.sk_c5))) (let ((_let_87 (= _let_86 (tptp.multiply tptp.sk_c1 _let_50)))) (let ((_let_88 (tptp.multiply _let_24 _let_80))) (let ((_let_89 (= (tptp.multiply _let_77 tptp.sk_c7) _let_88))) (let ((_let_90 (tptp.multiply _let_18 tptp.sk_c2))) (let ((_let_91 (tptp.multiply _let_24 _let_90))) (let ((_let_92 (= (tptp.multiply _let_77 tptp.sk_c2) _let_91))) (let ((_let_93 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_24))) (let ((_let_94 (tptp.multiply _let_93 _let_18))) (let ((_let_95 (= _let_94 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_77)))) (let ((_let_96 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (let ((_let_97 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (tptp.multiply tptp.identity SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_98 (tptp.multiply _let_90 tptp.sk_c7))) (let ((_let_99 (= (tptp.multiply _let_91 tptp.sk_c7) (tptp.multiply _let_24 _let_98)))) (let ((_let_100 (tptp.multiply _let_18 _let_24))) (let ((_let_101 (tptp.multiply _let_85 _let_24))) (let ((_let_102 (tptp.multiply _let_101 _let_100))) (let ((_let_103 (tptp.multiply _let_101 _let_18))) (let ((_let_104 (= (tptp.multiply _let_103 _let_24) _let_102))) (let ((_let_105 (tptp.multiply tptp.sk_c6 _let_24))) (let ((_let_106 (tptp.multiply _let_105 _let_90))) (let ((_let_107 (= _let_106 (tptp.multiply tptp.sk_c6 _let_91)))) (let ((_let_108 (tptp.multiply _let_24 _let_103))) (let ((_let_109 (tptp.multiply _let_24 _let_101))) (let ((_let_110 (= (tptp.multiply _let_109 _let_18) _let_108))) (let ((_let_111 (tptp.multiply _let_24 _let_85))) (let ((_let_112 (= _let_111 (tptp.multiply _let_72 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_113 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (let ((_let_114 (= _let_102 (tptp.multiply _let_85 (tptp.multiply _let_24 _let_100))))) (let ((_let_115 (= (tptp.multiply (tptp.multiply tptp.sk_c1 _let_24) _let_85) (tptp.multiply tptp.sk_c1 _let_111)))) (let ((_let_116 (= (tptp.multiply _let_93 _let_80) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_88)))) (let ((_let_117 (= _let_109 (tptp.multiply _let_111 _let_24)))) (let ((_let_118 (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (let ((_let_119 (tptp.multiply _let_108 _let_90))) (let ((_let_120 (= _let_119 (tptp.multiply (tptp.multiply _let_108 _let_18) tptp.sk_c2)))) (let ((_let_121 (= (tptp.multiply _let_94 _let_98) (tptp.multiply _let_93 (tptp.multiply _let_18 _let_98))))) (let ((_let_122 (= (tptp.multiply _let_94 _let_24) (tptp.multiply _let_93 _let_100)))) (let ((_let_123 (= (tptp.multiply _let_108 _let_98) (tptp.multiply _let_119 tptp.sk_c7)))) (let ((_let_124 (= (tptp.multiply (tptp.multiply _let_85 _let_105) _let_90) (tptp.multiply _let_85 _let_106)))) (let ((_let_125 (= tptp.sk_c5 _let_43))) (let ((_let_126 (= tptp.sk_c5 _let_8))) (let ((_let_127 (= tptp.sk_c5 _let_11))) (let ((_let_128 (not _let_127))) (let ((_let_129 (not _let_126))) (let ((_let_130 (or _let_129 _let_128))) (let ((_let_131 (= tptp.identity (tptp.multiply _let_8 tptp.sk_c3)))) (let ((_let_132 (tptp.multiply _let_50 tptp.sk_c3))) (let ((_let_133 (= (tptp.multiply _let_132 tptp.sk_c6) (tptp.multiply _let_50 _let_11)))) (let ((_let_134 (REORDERING (CNF_OR_POS :args (_let_70)) :args ((or _let_69 _let_68 (not _let_70)))))) (let ((_let_135 (_let_35))) (let ((_let_136 ((tptp.multiply X1 tptp.sk_c6)))) (let ((_let_137 (ASSUME :args _let_135))) (let ((_let_138 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_137 :args (tptp.sk_c3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_136)) :args _let_135)))) (let ((_let_139 (or))) (let ((_let_140 (not _let_35))) (let ((_let_141 (_let_140))) (let ((_let_142 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_141)) :args _let_141)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_140) _let_35))) (REFL :args ((not _let_49))) :args _let_139)))) (let ((_let_143 (REFL :args (_let_49)))) (let ((_let_144 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_49 0)) (CONG _let_143 (MACRO_SR_PRED_INTRO :args ((= (not _let_48) _let_47))) :args _let_139)) :args ((or _let_47 _let_49))))) (let ((_let_145 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_49 1)) (CONG _let_143 (MACRO_SR_PRED_INTRO :args ((= (not _let_45) _let_44))) :args _let_139)) :args ((or _let_44 _let_49))))) (let ((_let_146 (SYMM (ASSUME :args (_let_31))))) (let ((_let_147 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))) (let ((_let_148 (EQ_RESOLVE (ASSUME :args (_let_33)) (MACRO_SR_EQ_INTRO :args (_let_33 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_149 (_let_147))) (let ((_let_150 ((tptp.inverse X)))) (let ((_let_151 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_148 :args (tptp.sk_c1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_150)) :args _let_149)) _let_148 :args (_let_73 false _let_147)))) (let ((_let_152 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_148 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_150)) :args _let_149)) _let_148 :args (_let_74 false _let_147)))) (let ((_let_153 (_let_32))) (let ((_let_154 (ASSUME :args _let_153))) (let ((_let_155 ((tptp.multiply X (tptp.multiply Y Z))))) (let ((_let_156 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_154 :args (tptp.sk_c6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.sk_c6 QUANTIFIERS_INST_E_MATCHING _let_155)) :args _let_153)) _let_154 :args (_let_76 false _let_32)))) (let ((_let_157 ((tptp.multiply (tptp.multiply X Y) Z)))) (let ((_let_158 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_154 :args (_let_24 tptp.sk_c1 tptp.sk_c6 QUANTIFIERS_INST_E_MATCHING _let_157)) :args _let_153)) _let_154 :args (_let_78 false _let_32)))) (let ((_let_159 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))) (let ((_let_160 (EQ_RESOLVE (ASSUME :args (_let_34)) (MACRO_SR_EQ_INTRO :args (_let_34 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_161 (_let_159))) (let ((_let_162 ((tptp.multiply tptp.identity X)))) (let ((_let_163 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_160 :args (tptp.sk_c6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_162)) :args _let_161)) _let_160 :args (_let_79 false _let_159)))) (let ((_let_164 (not _let_79))) (let ((_let_165 (not _let_78))) (let ((_let_166 (not _let_76))) (let ((_let_167 (not _let_74))) (let ((_let_168 (not _let_73))) (let ((_let_169 (not _let_71))) (let ((_let_170 (and _let_71 _let_47 _let_44 _let_73 _let_74 _let_76 _let_78 _let_79))) (let ((_let_171 (ASSUME :args (_let_44)))) (let ((_let_172 (SYMM _let_171))) (let ((_let_173 (SYMM _let_172))) (let ((_let_174 (ASSUME :args (_let_79)))) (let ((_let_175 (SYMM _let_174))) (let ((_let_176 (APPLY_UF tptp.multiply))) (let ((_let_177 (REFL :args (tptp.sk_c6)))) (let ((_let_178 (ASSUME :args (_let_73)))) (let ((_let_179 (SYMM _let_178))) (let ((_let_180 (CONG _let_179 _let_177 :args _let_176))) (let ((_let_181 (ASSUME :args (_let_78)))) (let ((_let_182 (SYMM _let_181))) (let ((_let_183 (TRANS _let_182 _let_180 _let_175))) (let ((_let_184 (ASSUME :args (_let_74)))) (let ((_let_185 (SYMM _let_184))) (let ((_let_186 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_187 (SYMM _let_183))) (let ((_let_188 (REFL :args (_let_75)))) (let ((_let_189 (ASSUME :args (_let_76)))) (let ((_let_190 (SYMM _let_189))) (let ((_let_191 (ASSUME :args (_let_47)))) (let ((_let_192 (SYMM _let_191))) (let ((_let_193 (SYMM _let_192))) (let ((_let_194 (REFL :args (tptp.sk_c7)))) (let ((_let_195 (CONG _let_187 _let_194 :args _let_176))) (let ((_let_196 (SYMM _let_146))) (let ((_let_197 (SYMM _let_196))) (let ((_let_198 (MODUS_PONENS (AND_INTRO _let_171 _let_174 _let_178 _let_184 _let_181 _let_189 _let_191 _let_146) (SCOPE (TRANS _let_197 _let_195 (CONG _let_183 _let_193 :args _let_176) _let_190 (CONG _let_188 _let_187 :args _let_176) (CONG (TRANS (TRANS (CONG _let_173 _let_186 :args _let_176) _let_185 _let_178) _let_179) _let_183 :args _let_176) _let_175 _let_173) :args (_let_44 _let_79 _let_73 _let_74 _let_78 _let_76 _let_47 _let_71))))) (let ((_let_199 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_170)) (IMPLIES_ELIM (SCOPE _let_198 :args (_let_71 _let_47 _let_44 _let_73 _let_74 _let_76 _let_78 _let_79))) :args (true _let_170)) :args ((or _let_169 _let_48 _let_45 _let_168 _let_167 _let_166 _let_165 _let_125 _let_164))))) (let ((_let_200 (and _let_67 _let_44 _let_125))) (let ((_let_201 (_let_67 _let_44 _let_125))) (let ((_let_202 (ASSUME :args (_let_67)))) (let ((_let_203 (SYMM _let_202))) (let ((_let_204 (SYMM _let_203))) (let ((_let_205 (ASSUME :args (_let_125)))) (let ((_let_206 (SYMM _let_205))) (let ((_let_207 (SYMM _let_206))) (let ((_let_208 (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.inverse X2))) (not (= tptp.sk_c5 (tptp.multiply X2 tptp.sk_c6))))))) (let ((_let_209 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.sk_c6))) (let ((_let_210 (= tptp.sk_c5 _let_209))) (let ((_let_211 (not _let_210))) (let ((_let_212 (tptp.inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_213 (= tptp.sk_c5 _let_212))) (let ((_let_214 (not _let_213))) (let ((_let_215 (or _let_214 _let_211))) (let ((_let_216 (= tptp.sk_c7 _let_209))) (let ((_let_217 (not _let_216))) (let ((_let_218 (= tptp.sk_c7 _let_212))) (let ((_let_219 (not _let_218))) (let ((_let_220 (or _let_219 _let_217))) (let ((_let_221 (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X3))) (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c6))))))) (let ((_let_222 (= tptp.sk_c5 _let_39))) (let ((_let_223 (not _let_222))) (let ((_let_224 (= tptp.sk_c5 _let_36))) (let ((_let_225 (not _let_224))) (let ((_let_226 (or _let_225 _let_223))) (let ((_let_227 (= tptp.sk_c5 _let_46))) (let ((_let_228 (not _let_227))) (let ((_let_229 (not _let_125))) (let ((_let_230 (or _let_229 _let_228))) (let ((_let_231 (= tptp.sk_c5 _let_2))) (let ((_let_232 (not _let_231))) (let ((_let_233 (= tptp.sk_c5 _let_6))) (let ((_let_234 (not _let_233))) (let ((_let_235 (or _let_234 _let_232))) (let ((_let_236 (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (let ((_let_237 (not _let_236))) (let ((_let_238 (= tptp.sk_c5 _let_14))) (let ((_let_239 (not _let_238))) (let 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(REFL :args (_let_53)))) (let ((_let_282 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_53 0)) (CONG _let_281 (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_37))) :args _let_139)) :args ((or _let_37 _let_53))))) (let ((_let_283 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_53 1)) (CONG _let_281 (MACRO_SR_PRED_INTRO :args ((= (not _let_52) _let_51))) :args _let_139)) :args ((or _let_51 _let_53))))) (let ((_let_284 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_148 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_150)) :args _let_149)) _let_148 :args (_let_241 false _let_147)))) (let ((_let_285 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_154 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.sk_c5 tptp.sk_c7 QUANTIFIERS_INST_E_MATCHING _let_157)) :args _let_153)) _let_154 :args (_let_242 false _let_32)))) (let ((_let_286 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_154 :args 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_let_248 _let_247 _let_83 _let_82 _let_242 _let_63))) :args _let_308)) :args _let_307) :args ((or _let_169 _let_269 _let_69 _let_268 _let_211 _let_38 _let_52 _let_168 _let_305 _let_304 _let_303 _let_165 _let_302 _let_301 _let_300 _let_222 _let_299 _let_298 _let_297 _let_164 _let_296 _let_295))) _let_294 _let_293 _let_163 _let_292 _let_291 _let_290 _let_289 _let_288 _let_287 _let_158 _let_286 _let_285 _let_284 _let_151 _let_146 (REORDERING (RESOLUTION _let_371 (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_309 _let_312 _let_315 _let_178 _let_317 _let_146 _let_174 _let_181 _let_321 _let_326 _let_330 _let_333 _let_336 _let_339 _let_341 _let_344 _let_352 _let_358 _let_355 _let_362 _let_365) (SCOPE (TRANS _let_146 _let_325 _let_370 _let_368 _let_364 _let_361 _let_324 _let_319 _let_313 _let_311) :args (_let_37 _let_51 _let_97 _let_73 _let_112 _let_71 _let_79 _let_78 _let_89 _let_210 _let_246 _let_250 _let_254 _let_241 _let_253 _let_248 _let_247 _let_83 _let_82 _let_242 _let_63))) :args _let_308)) :args _let_307) :args ((or _let_169 _let_269 _let_69 _let_268 _let_211 _let_38 _let_52 _let_168 _let_305 _let_304 _let_303 _let_165 _let_302 _let_301 _let_300 _let_224 _let_299 _let_298 _let_297 _let_164 _let_296 _let_295))) _let_294 _let_293 _let_163 _let_292 _let_291 _let_290 _let_289 _let_288 _let_287 _let_158 _let_286 _let_285 _let_284 _let_151 _let_146 _let_283 _let_282 _let_280 _let_278 _let_274 _let_271 _let_270 :args ((or _let_67 _let_69 _let_211 _let_266) false _let_222 false _let_254 false _let_253 false _let_79 false _let_112 false _let_250 false _let_97 false _let_248 false _let_247 false _let_89 false _let_78 false _let_246 false _let_242 false _let_241 false _let_73 false _let_71 false _let_224 false _let_254 false _let_253 false _let_79 false _let_112 false _let_250 false _let_97 false _let_248 false _let_247 false _let_89 false _let_78 false _let_246 false _let_242 false _let_241 false _let_73 false _let_71 false _let_51 false _let_37 true _let_53 true _let_54 true _let_60 false _let_82 false _let_83)))) (let ((_let_375 (REORDERING (CNF_OR_POS :args (_let_230)) :args ((or _let_229 _let_228 _let_267))))) (let ((_let_376 (not _let_265))) (let ((_let_377 (REFL :args (_let_164)))) (let ((_let_378 (REFL :args (_let_165)))) (let ((_let_379 (REFL :args (_let_168)))) (let ((_let_380 (REFL :args (_let_169)))) (let ((_let_381 (SYMM _let_175))) (let ((_let_382 (ASSUME :args (_let_265)))) (let ((_let_383 (ASSUME :args (_let_228)))) (let ((_let_384 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_385 (tptp.multiply _let_384 tptp.sk_c6))) (let ((_let_386 (= _let_385 _let_251))) (let ((_let_387 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.multiply tptp.identity SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_388 (= (tptp.multiply (tptp.multiply _let_384 _let_24) _let_18) (tptp.multiply _let_384 _let_77)))) (let ((_let_389 (tptp.multiply tptp.identity _let_384))) (let ((_let_390 (= _let_384 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_let_168 _let_305 _let_304 _let_303 _let_165 _let_302 _let_301 _let_300 _let_238 _let_299 _let_298 _let_297 _let_164 _let_296 _let_295))))) (let ((_let_510 (and _let_71 _let_83 _let_82 _let_56 _let_210 _let_37 _let_51 _let_73 _let_241 _let_242 _let_246 _let_78 _let_89 _let_247 _let_248 _let_97 _let_250 _let_112 _let_79 _let_253 _let_254))) (let ((_let_511 (REFL :args (tptp.sk_c2)))) (let ((_let_512 (ASSUME :args (_let_56)))) (let ((_let_513 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_240)) :args ((or _let_239 _let_237 (not _let_240)))) (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_510)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_312 _let_315 _let_178 _let_317 _let_146 _let_174 _let_181 _let_321 _let_326 _let_330 _let_333 _let_336 _let_339 _let_309 _let_341 _let_344 _let_352 _let_358 _let_355 _let_362 _let_512) (SCOPE (TRANS _let_146 _let_325 _let_508 _let_507 _let_364 _let_361 _let_324 _let_319 _let_313 (SYMM (SYMM _let_512)) (CONG _let_511 (TRANS _let_326 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_let_291 _let_290 _let_289 _let_288 _let_287 _let_158 _let_286 _let_285 _let_284 _let_151 _let_146 _let_283 _let_282 _let_280 _let_278 _let_273 _let_503 _let_502 (MACRO_RESOLUTION_TRUST _let_501 _let_487 _let_163 _let_158 _let_156 _let_152 _let_151 _let_146 _let_486 _let_485 _let_280 (MACRO_RESOLUTION_TRUST _let_484 _let_409 _let_408 _let_407 _let_406 _let_405 _let_294 _let_404 _let_293 _let_403 _let_163 _let_292 _let_402 _let_291 _let_290 _let_401 _let_289 _let_288 _let_287 _let_400 _let_158 _let_399 _let_286 _let_284 _let_152 _let_398 _let_151 _let_146 _let_283 _let_282 _let_145 _let_144 _let_142 _let_138 _let_134 :args ((or _let_69 _let_68 _let_211 _let_53 _let_265) false _let_397 false _let_396 false _let_395 false _let_394 false _let_392 false _let_254 false _let_391 false _let_253 false _let_133 false _let_79 false _let_112 false _let_390 false _let_250 false _let_97 false _let_388 false _let_248 false _let_247 false _let_89 false _let_387 false _let_78 false _let_386 false _let_246 false _let_241 false _let_74 false _let_131 false _let_73 false _let_71 false _let_51 false _let_37 false _let_44 false _let_47 true _let_49 true _let_35 true _let_70)) (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_174 _let_171 _let_198 _let_382 _let_191 _let_383) :args (_let_71 _let_47 _let_44 _let_73 _let_74 _let_76 _let_265 _let_78 _let_228 _let_79)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_383)) (TRUE_INTRO (TRANS (TRANS _let_207 _let_172) _let_381 (SYMM (TRANS _let_192 (SYMM (SYMM _let_382)) _let_172 _let_381)))))) :args (_let_79 _let_44 _let_125 _let_265 _let_47 _let_228)) :args ((not (and _let_71 _let_47 _let_44 _let_73 _let_74 _let_76 _let_265 _let_78 _let_228 _let_79)) SB_LITERAL))) (CONG _let_380 (REFL :args (_let_48)) (REFL :args (_let_45)) _let_379 (REFL :args (_let_167)) (REFL :args (_let_166)) (REFL :args (_let_376)) _let_378 (MACRO_SR_PRED_INTRO :args ((= (not _let_228) _let_227))) _let_377 :args _let_139)) :args ((or _let_169 _let_48 _let_45 _let_376 _let_168 _let_167 _let_166 _let_165 _let_227 _let_164))) _let_163 _let_158 _let_156 _let_152 _let_151 _let_146 _let_375 _let_199 _let_163 _let_158 _let_156 _let_152 _let_151 _let_146 _let_145 _let_144 _let_142 _let_138 _let_134 _let_374 :args ((or _let_269 _let_69 _let_268 _let_211 _let_267 _let_266) false _let_81 false _let_79 false _let_78 false _let_76 false _let_74 false _let_73 false _let_71 true _let_64 false _let_66 false _let_54 false _let_53 true _let_265 false _let_79 false _let_78 false _let_76 false _let_74 false _let_73 false _let_71 true _let_227 false _let_125 false _let_79 false _let_78 false _let_76 false _let_74 false _let_73 false _let_71 false _let_44 false _let_47 true _let_49 true _let_35 true _let_70 false _let_67)) _let_264 _let_263 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_258 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_257)) :args _let_256)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_258 :args (tptp.sk_c2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_257)) :args _let_256)) _let_260 _let_259 :args ((or _let_255 _let_211) false _let_236 false _let_254 false _let_253 false _let_79 false _let_112 false _let_250 false _let_97 false _let_248 false _let_247 false _let_89 false _let_78 false _let_246 false _let_242 false _let_241 false _let_73 false _let_71 false _let_238 false _let_254 false _let_253 false _let_79 false _let_112 false _let_250 false _let_97 false _let_248 false _let_247 false _let_89 false _let_78 false _let_246 false _let_242 false _let_241 false _let_73 false _let_71 false _let_51 false _let_37 true _let_53 true _let_54 true _let_60 false _let_56 false _let_58 true _let_63 false _let_83 false _let_82 false _let_226 false _let_240 false _let_235 false _let_230)))) (let ((_let_514 (not _let_215))) (let ((_let_515 (_let_255))) (let ((_let_516 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_515)) :args _let_515)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_255) _let_208))) (REFL :args (_let_514)) :args _let_139)))) (let ((_let_517 (_let_215))) (let ((_let_518 (REFL :args _let_517))) (let ((_let_519 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_215 0)) (CONG _let_518 (MACRO_SR_PRED_INTRO :args ((= (not _let_214) _let_213))) :args _let_139)) :args ((or _let_213 _let_215))))) (let ((_let_520 (= tptp.sk_c6 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.sk_c5)))) (let ((_let_521 (not _let_520))) (let ((_let_522 (= tptp.sk_c6 _let_212))) (let ((_let_523 (not _let_522))) (let ((_let_524 (or _let_523 _let_521))) (let ((_let_525 (not _let_524))) (let ((_let_526 (and _let_71 _let_213 _let_47 _let_44 _let_73 _let_74 _let_76 _let_78 _let_79))) (let ((_let_527 (ASSUME :args (_let_213)))) (let ((_let_528 (SYMM _let_527))) (let ((_let_529 (SYMM _let_528))) (let ((_let_530 (and _let_71 _let_210 _let_47 _let_44 _let_73 _let_74 _let_76 _let_78 _let_79))) (let ((_let_531 (CONG _let_188 _let_183 :args _let_176))) (let ((_let_532 (CONG _let_492 _let_187 :args _let_176))) (let ((_let_533 (SYMM _let_327))) (let ((_let_534 (MACRO_RESOLUTION_TRUST _let_273 _let_503 _let_502 _let_134 _let_274 _let_138 _let_142 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_524)) :args ((or _let_523 _let_521 _let_525))) (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_530)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_146 _let_174 _let_178 _let_181 _let_191 _let_189 _let_171 _let_184 _let_326) (SCOPE (TRANS _let_174 _let_532 _let_531 _let_491 _let_490 _let_320 _let_196 _let_533 (CONG _let_328 (TRANS _let_174 _let_532 _let_531 _let_491 _let_490 _let_320 _let_196) :args _let_176)) :args (_let_71 _let_79 _let_73 _let_78 _let_47 _let_76 _let_44 _let_74 _let_210))) :args (_let_71 _let_210 _let_47 _let_44 _let_73 _let_74 _let_76 _let_78 _let_79))) :args (true _let_530)) :args ((or _let_169 _let_211 _let_48 _let_45 _let_168 _let_167 _let_166 _let_520 _let_165 _let_164))) _let_163 _let_158 _let_156 _let_152 _let_151 _let_146 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_526)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_527 _let_198 _let_171) (SCOPE (TRANS _let_173 _let_206 _let_529) :args (_let_213 _let_125 _let_44))) :args (_let_71 _let_213 _let_47 _let_44 _let_73 _let_74 _let_76 _let_78 _let_79))) :args (true _let_526)) :args ((or _let_169 _let_214 _let_48 _let_45 _let_168 _let_167 _let_166 _let_522 _let_165 _let_164))) _let_163 _let_158 _let_156 _let_152 _let_151 _let_146 _let_145 _let_144 :args ((or _let_214 _let_211 _let_49 _let_525) false _let_520 false _let_79 false _let_78 false _let_76 false _let_74 false _let_73 false _let_71 false _let_522 false _let_79 false _let_78 false _let_76 false _let_74 false _let_73 false _let_71 false _let_44 false _let_47)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_277 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_276)) :args _let_275)) _let_278 :args ((or _let_61 _let_214 _let_211) false _let_56 false _let_58 true _let_63 false _let_67 false _let_70 false _let_35 false _let_49 false _let_524 false _let_60)))) (let ((_let_535 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (let ((_let_536 (= tptp.sk_c7 _let_535))) (let ((_let_537 (not _let_220))) (let ((_let_538 (_let_220))) (let ((_let_539 (and _let_213 _let_210 _let_216))) (let ((_let_540 (_let_213 _let_210 _let_216))) (let ((_let_541 (ASSUME :args (_let_216)))) (let ((_let_542 (not _let_536))) (let ((_let_543 (MACRO_SR_PRED_INTRO :args ((= (not _let_217) _let_216))))) (let ((_let_544 (and _let_71 _let_210 _let_37 _let_51 _let_73 _let_241 _let_246 _let_386 _let_217 _let_78 _let_89 _let_248 _let_388 _let_97 _let_250 _let_390 _let_112 _let_79 _let_253 _let_254))) (let ((_let_545 (= tptp.sk_c5 _let_535))) (let ((_let_546 (ASSUME :args (_let_217)))) (let ((_let_547 (=))) (let ((_let_548 (CONG _let_183 _let_313 :args _let_176))) (let ((_let_549 (TRANS _let_310 _let_174 _let_500 _let_181))) (let ((_let_550 (CONG _let_549 _let_367 :args _let_176))) (let ((_let_551 (TRANS _let_452 _let_436 _let_422 _let_420 _let_417 _let_416 _let_324 _let_319 _let_313 _let_309))) (let ((_let_552 (TRANS _let_441 _let_551))) (let ((_let_553 (CONG _let_552 _let_469 :args _let_176))) (let ((_let_554 (CONG (TRANS _let_178 (TRANS _let_179 (SYMM _let_340) (CONG (SYMM _let_552) _let_316 :args _let_176))) _let_471 :args _let_176))) (let ((_let_555 (SYMM _let_337))) (let ((_let_556 (CONG (SYMM _let_334) _let_314 :args _let_176))) (let ((_let_557 (EQ_RESOLVE (ASSUME :args (_let_29)) (MACRO_SR_EQ_INTRO :args (_let_29 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_558 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_23)) (MACRO_SR_EQ_INTRO :args (_let_23 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_63 _let_82))))) (let ((_let_559 (and _let_71 _let_83 _let_82 _let_210 _let_37 _let_51 _let_73 _let_241 _let_242 _let_246 _let_386 _let_78 _let_89 _let_247 _let_248 _let_388 _let_97 _let_250 _let_390 _let_112 _let_79 _let_253 _let_254 _let_81))) (let ((_let_560 (TRANS _let_441 _let_551 _let_549))) (let ((_let_561 (CONG _let_560 _let_194 :args _let_176))) (let ((_let_562 (REFL :args (_let_24)))) (let ((_let_563 (CONG _let_316 (TRANS _let_322 _let_320 _let_196 _let_326 _let_338 _let_331 _let_556 _let_555 _let_554 _let_470 _let_553 _let_550 _let_548 (CONG _let_177 _let_187 :args _let_176) _let_353 (CONG (TRANS (CONG _let_312 _let_562 :args _let_176) (CONG _let_560 _let_359 :args _let_176) _let_320 _let_196) _let_356 :args _let_176)) :args _let_176))) (let ((_let_564 (TRANS _let_356 _let_358))) (let ((_let_565 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_559)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_174 _let_178 _let_181 _let_312 _let_309 _let_315 _let_317 _let_146 _let_321 _let_326 _let_344 _let_418 _let_421 _let_434 _let_341 _let_339 _let_330 _let_336 _let_333 _let_362 _let_358 _let_355 _let_352 _let_496) (SCOPE (TRANS _let_355 (CONG _let_494 (TRANS _let_312 _let_350 _let_349 _let_563 _let_363 _let_561 _let_320 _let_196) :args _let_176) (CONG _let_494 _let_146 :args _let_176) _let_497 (CONG _let_564 _let_355 :args _let_176) _let_182 _let_180 _let_175 _let_312 _let_350 _let_349 _let_563 _let_363 _let_561 _let_320 _let_196 _let_326 _let_338 _let_331 _let_556 _let_555 _let_554 _let_470 _let_553 _let_550 _let_548) :args (_let_79 _let_73 _let_78 _let_51 _let_37 _let_97 _let_112 _let_71 _let_89 _let_210 _let_248 _let_386 _let_390 _let_388 _let_253 _let_241 _let_246 _let_254 _let_250 _let_242 _let_83 _let_82 _let_247 _let_81))) :args (_let_71 _let_83 _let_82 _let_210 _let_37 _let_51 _let_73 _let_241 _let_242 _let_246 _let_386 _let_78 _let_89 _let_247 _let_248 _let_388 _let_97 _let_250 _let_390 _let_112 _let_79 _let_253 _let_254 _let_81))) :args (true _let_559)) :args ((or _let_169 _let_269 _let_268 _let_211 _let_38 _let_52 _let_168 _let_305 _let_304 _let_303 _let_413 _let_165 _let_536 _let_302 _let_301 _let_300 _let_412 _let_299 _let_298 _let_411 _let_297 _let_164 _let_296 _let_295 _let_488))))) (let ((_let_566 (or _let_376 _let_48))) (let ((_let_567 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_568 (_let_221))) (let ((_let_569 ((tptp.inverse X3)))) (let ((_let_570 (ASSUME :args _let_568))) (let ((_let_571 (MACRO_RESOLUTION_TRUST _let_565 _let_487 _let_294 _let_293 _let_163 _let_292 _let_402 _let_291 _let_290 _let_401 _let_289 _let_288 _let_287 _let_158 _let_399 _let_286 _let_285 _let_284 _let_151 _let_146 _let_271 _let_270 (MACRO_RESOLUTION_TRUST _let_484 _let_409 _let_408 _let_407 _let_406 _let_405 _let_294 _let_404 _let_293 _let_403 _let_163 _let_292 _let_402 _let_291 _let_290 _let_401 _let_289 _let_288 _let_287 _let_400 _let_158 _let_399 _let_286 _let_284 _let_152 _let_398 _let_151 _let_146 (REORDERING (CNF_OR_POS :args (_let_566)) :args ((or _let_48 _let_376 (not _let_566)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_570 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_569)) :args _let_568)) _let_145 _let_144 _let_567 _let_146 _let_142 _let_138 _let_134 _let_282 _let_283 _let_280 :args ((or _let_54 _let_208 _let_69 _let_68 _let_211) false _let_397 false _let_396 false _let_395 false _let_394 false _let_392 false _let_254 false _let_391 false _let_253 false _let_133 false _let_79 false _let_112 false _let_390 false _let_250 false _let_97 false _let_388 false _let_248 false _let_247 false _let_89 false _let_387 false _let_78 false _let_386 false _let_246 false _let_241 false _let_74 false _let_131 false _let_73 false _let_71 true _let_265 false _let_566 false _let_44 false _let_47 false _let_221 false _let_71 true _let_49 true _let_35 true _let_70 false _let_37 false _let_51 true _let_53)) (MACRO_RESOLUTION_TRUST _let_565 _let_487 _let_294 _let_293 _let_163 _let_292 _let_402 _let_291 _let_290 _let_401 _let_289 _let_288 _let_287 _let_158 _let_399 _let_286 _let_285 _let_284 _let_151 _let_146 _let_558 _let_557 :args ((or _let_63 _let_211 _let_38 _let_52 _let_536) false _let_81 false _let_254 false _let_253 false _let_79 false _let_112 false _let_390 false _let_250 false _let_97 false _let_388 false _let_248 false _let_247 false _let_89 false _let_78 false _let_386 false _let_246 false _let_242 false _let_241 false _let_73 false _let_71 false _let_82 false _let_83)) (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_544)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_546 _let_326 (MODUS_PONENS (AND_INTRO _let_174 _let_178 _let_181 _let_312 _let_309 _let_315 _let_317 _let_146 _let_321 _let_326 _let_344 _let_418 _let_421 _let_434 _let_341 _let_339 _let_330 _let_336 _let_333) (SCOPE (TRANS _let_326 _let_338 _let_331 _let_556 _let_555 _let_554 _let_470 _let_553 _let_550 _let_548) :args (_let_79 _let_73 _let_78 _let_51 _let_37 _let_97 _let_112 _let_71 _let_89 _let_210 _let_248 _let_386 _let_390 _let_388 _let_253 _let_241 _let_246 _let_254 _let_250)))) (SCOPE (FALSE_ELIM (TRANS (CONG _let_194 (TRANS (SYMM (ASSUME :args (_let_545))) _let_533) :args _let_547) (FALSE_INTRO _let_546))) :args (_let_217 _let_210 _let_545))) :args (_let_71 _let_210 _let_37 _let_51 _let_73 _let_241 _let_246 _let_386 _let_217 _let_78 _let_89 _let_248 _let_388 _let_97 _let_250 _let_390 _let_112 _let_79 _let_253 _let_254))) :args (true _let_544)) (CONG _let_380 (REFL :args (_let_211)) (REFL :args (_let_38)) (REFL :args (_let_52)) _let_379 (REFL :args (_let_305)) (REFL :args (_let_303)) (REFL :args (_let_413)) _let_543 _let_378 (REFL :args (_let_302)) (REFL :args (_let_300)) (REFL :args (_let_412)) (REFL :args (_let_299)) (REFL :args (_let_298)) (REFL :args (_let_411)) (REFL :args (_let_297)) _let_377 (REFL :args (_let_296)) (REFL :args (_let_295)) (REFL :args (_let_542)) :args _let_139)) :args ((or _let_169 _let_211 _let_38 _let_52 _let_216 _let_168 _let_305 _let_303 _let_413 _let_165 _let_542 _let_302 _let_300 _let_412 _let_299 _let_298 _let_411 _let_297 _let_164 _let_296 _let_295))) _let_294 _let_293 _let_163 _let_292 _let_402 _let_291 _let_290 _let_401 _let_289 _let_287 _let_158 _let_399 _let_286 _let_284 _let_151 _let_146 _let_283 _let_282 _let_280 _let_534 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_258 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_257)) :args _let_256)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_539)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_527 _let_326 _let_541) (SCOPE (TRANS (SYMM (SYMM _let_541)) _let_327 _let_529) :args _let_540)) :args _let_540)) :args (true _let_539)) :args ((or _let_214 _let_211 _let_218 _let_217))) (REORDERING (CNF_OR_POS :args _let_538) :args ((or _let_219 _let_217 _let_537))) :args ((or _let_214 _let_211 _let_217 _let_537) true _let_218)) (REORDERING (CNF_OR_POS :args _let_517) :args ((or _let_214 _let_211 _let_514))) :args ((or _let_214 _let_211 _let_537) false _let_81 false _let_254 false _let_253 false _let_79 false _let_112 false _let_390 false _let_250 false _let_97 false _let_388 false _let_248 false _let_247 false _let_89 false _let_78 false _let_386 false _let_246 false _let_242 false _let_241 false _let_73 false _let_71 false _let_82 false _let_83 true _let_67 false _let_63 true _let_536 false _let_254 false _let_253 false _let_79 false _let_112 false _let_390 false _let_250 false _let_97 false _let_388 false _let_248 false _let_89 false _let_78 false _let_386 false _let_246 false _let_241 false _let_73 false _let_71 false _let_51 false _let_37 true _let_53 true _let_54 true _let_208 true _let_216 true _let_215)))) (let ((_let_572 (REFL :args _let_538))) (let ((_let_573 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_220 0)) (CONG _let_572 (MACRO_SR_PRED_INTRO :args ((= (not _let_219) _let_218))) :args _let_139)) :args ((or _let_218 _let_220))))) (let ((_let_574 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_570 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_569)) :args _let_568)))) (let ((_let_575 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_137 :args 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_let_215)))) (let ((_let_588 (MACRO_RESOLUTION_TRUST _let_260 _let_587 :args (_let_235 false _let_208)))) (let ((_let_589 (MACRO_RESOLUTION_TRUST _let_263 _let_588 :args (_let_82 false _let_235)))) (let ((_let_590 (MACRO_RESOLUTION_TRUST _let_264 _let_588 :args (_let_83 false _let_235)))) (let ((_let_591 (and _let_71 _let_83 _let_63 _let_67 _let_82 _let_51 _let_73 _let_131 _let_78 _let_79 _let_133 _let_81))) (let ((_let_592 (TRANS _let_313 _let_187))) (let ((_let_593 (CONG (TRANS (TRANS (CONG _let_592 _let_429 :args _let_176) _let_431 _let_430 _let_428 _let_178) _let_179) _let_177 :args _let_176))) (let ((_let_594 (CONG _let_367 _let_447 :args _let_176))) (let ((_let_595 (SYMM _let_507))) (let ((_let_596 (CONG (SYMM _let_592) _let_194 :args _let_176))) (let ((_let_597 (= (tptp.multiply (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) tptp.sk_c5) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_50)))) (let ((_let_598 (= (tptp.multiply _let_111 tptp.sk_c5) (tptp.multiply _let_24 _let_86)))) (let ((_let_599 (and _let_71 _let_83 _let_82 _let_47 _let_44 _let_51 _let_73 _let_74 _let_76 _let_597 _let_78 _let_598 _let_97 _let_112 _let_79 _let_81))) (let ((_let_600 (ASSUME :args (_let_598)))) (let ((_let_601 (TRANS (SYMM _let_600) _let_319 _let_313))) (let ((_let_602 (CONG (TRANS (TRANS _let_461 (CONG (TRANS _let_183 _let_173) _let_186 :args _let_176) _let_185 _let_178) _let_179) _let_601 :args _let_176))) (let ((_let_603 (CONG _let_188 (SYMM _let_601) :args _let_176))) (let ((_let_604 (CONG _let_186 _let_313 :args _let_176))) (let ((_let_605 (CONG _let_183 _let_604 :args _let_176))) (let ((_let_606 (ASSUME :args (_let_597)))) (let ((_let_607 (SYMM _let_606))) (let ((_let_608 (CONG _let_187 (SYMM _let_607) :args _let_176))) (let ((_let_609 (CONG _let_313 (TRANS _let_193 (SYMM _let_604) _let_607) :args _let_176))) (let ((_let_610 (CONG _let_369 _let_194 :args _let_176))) (let ((_let_611 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION 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_let_645 (SYMM _let_649) (SYMM _let_650)))) (let ((_let_653 (CONG (TRANS _let_183 (SYMM _let_651) (SYMM _let_652)) _let_511 :args _let_176))) (let ((_let_654 (ASSUME :args (_let_92)))) (let ((_let_655 (SYMM _let_654))) (let ((_let_656 (ASSUME :args (_let_118)))) (let ((_let_657 (ASSUME :args (_let_87)))) (let ((_let_658 (SYMM _let_657))) (let ((_let_659 (SYMM _let_658))) (let ((_let_660 (REFL :args (_let_85)))) (let ((_let_661 (CONG _let_660 (TRANS (CONG _let_562 _let_642 :args _let_176) _let_322 _let_320 _let_196) :args _let_176))) (let ((_let_662 (ASSUME :args (_let_114)))) (let ((_let_663 (SYMM _let_662))) (let ((_let_664 (ASSUME :args (_let_104)))) (let ((_let_665 (SYMM _let_664))) (let ((_let_666 (CONG (TRANS (TRANS (CONG _let_660 (TRANS (CONG _let_187 _let_359 :args _let_176) _let_320 _let_196) :args _let_176) _let_659) (TRANS _let_658 (SYMM _let_661) _let_663 _let_665) (TRANS (SYMM _let_665) (SYMM _let_663) _let_661 _let_659 (CONG _let_656 _let_367 :args _let_176) (CONG (SYMM 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_let_639) :args _let_176) (SYMM _let_638) _let_178) _let_179) _let_194 :args _let_176))) (let ((_let_676 (ASSUME :args (_let_99)))) (let ((_let_677 (REFL :args (_let_98)))) (let ((_let_678 (ASSUME :args (_let_121)))) (let ((_let_679 (ASSUME :args (_let_123)))) (let ((_let_680 (ASSUME :args (_let_120)))) (let ((_let_681 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_632)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_315 _let_178 _let_317 _let_174 _let_181 _let_633 _let_355 _let_637 _let_638 _let_639 _let_505 _let_312 _let_146 _let_321 _let_640 _let_358 _let_644 _let_646 _let_647 _let_654 _let_656 _let_657 _let_662 _let_664 _let_667 _let_671 _let_668 _let_676 _let_678 _let_679 _let_680) (SCOPE (TRANS _let_637 (SYMM _let_675) (CONG (TRANS _let_655 _let_653 (CONG _let_652 _let_511 :args _let_176) (SYMM _let_680)) _let_194 :args _let_176) (SYMM _let_679) (CONG _let_648 _let_677 :args _let_176) (SYMM (SYMM _let_678)) (CONG (SYMM _let_635) (TRANS (CONG _let_564 _let_677 :args _let_176) (SYMM _let_676) _let_675 (SYMM _let_637) _let_357) :args _let_176) _let_636 (SYMM (SYMM _let_633)) (CONG _let_323 _let_183 :args _let_176) _let_372) :args (_let_97 _let_73 _let_112 _let_79 _let_78 _let_95 _let_82 _let_113 _let_84 _let_96 _let_58 _let_51 _let_71 _let_89 _let_116 _let_83 _let_122 _let_117 _let_110 _let_92 _let_118 _let_87 _let_114 _let_104 _let_124 _let_115 _let_107 _let_99 _let_121 _let_123 _let_120))) :args (_let_71 _let_83 _let_82 _let_58 _let_51 _let_73 _let_84 _let_87 _let_78 _let_89 _let_92 _let_95 _let_96 _let_97 _let_99 _let_104 _let_107 _let_110 _let_112 _let_79 _let_113 _let_114 _let_115 _let_116 _let_117 _let_118 _let_120 _let_121 _let_122 _let_123 _let_124))) :args (true _let_632)) :args ((or _let_169 _let_269 _let_268 _let_59 _let_52 _let_40 _let_168 (not _let_84) (not _let_87) _let_165 _let_302 (not _let_92) (not _let_95) (not _let_96) _let_299 (not _let_99) (not _let_104) (not _let_107) (not _let_110) _let_297 _let_164 (not _let_113) (not _let_114) (not _let_115) (not _let_116) (not _let_117) (not _let_118) (not _let_120) (not _let_121) (not _let_122) (not _let_123) (not _let_124)))))) (let ((_let_682 (MACRO_RESOLUTION_TRUST _let_486 _let_501 _let_590 _let_589 _let_487 _let_163 _let_158 _let_156 _let_152 _let_151 _let_146 _let_145 _let_144 _let_142 _let_138 _let_134 _let_274 _let_485 _let_278 _let_280 _let_283 (MACRO_RESOLUTION_TRUST _let_681 _let_631 _let_630 _let_629 _let_628 _let_627 _let_626 _let_590 _let_589 _let_625 _let_624 _let_623 _let_622 _let_621 _let_163 _let_292 _let_620 _let_619 _let_618 _let_617 _let_290 _let_616 _let_615 _let_614 _let_287 _let_158 _let_613 _let_612 _let_151 _let_146 _let_577 _let_282 _let_280 _let_575 _let_278 _let_142 _let_274 _let_272 _let_611 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_591)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_365 _let_355 _let_174 _let_178 _let_427 _let_202 _let_181 _let_312 _let_445 _let_358 _let_146 _let_496) (SCOPE (TRANS _let_197 _let_195 _let_596 _let_594 _let_446 _let_593 _let_500 _let_181 _let_499 _let_498 _let_495 (CONG _let_494 (TRANS _let_197 _let_195 _let_596 _let_595) :args _let_176) (CONG _let_494 (TRANS _let_507 _let_594 _let_446 _let_593 _let_175) :args _let_176) _let_356 _let_447) :args (_let_63 _let_82 _let_79 _let_73 _let_131 _let_67 _let_78 _let_51 _let_133 _let_83 _let_71 _let_81))) :args (_let_71 _let_83 _let_63 _let_67 _let_82 _let_51 _let_73 _let_131 _let_78 _let_79 _let_133 _let_81))) :args (true _let_591)) :args ((or _let_169 _let_269 _let_69 _let_68 _let_268 _let_52 _let_168 _let_414 _let_165 _let_127 _let_164 _let_410 _let_488))) _let_590 _let_589 _let_487 _let_403 _let_163 _let_158 _let_398 _let_151 _let_146 (REORDERING (CNF_OR_POS :args (_let_130)) :args ((or _let_129 _let_128 (not _let_130)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_258 :args (tptp.sk_c3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_257)) :args _let_256)) _let_587 :args (_let_130 false _let_208)) (RESOLUTION (CNF_AND_NEG :args (_let_200)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_202 _let_171 _let_205) (SCOPE (TRANS _let_207 _let_172 _let_204) :args _let_201)) :args _let_201)) :args (true _let_200)) _let_199 _let_163 _let_158 _let_156 _let_152 _let_151 _let_146 _let_145 _let_144 _let_142 _let_138 _let_134 :args ((or _let_69 _let_68 _let_52) false _let_83 false _let_82 false _let_81 false _let_133 false _let_79 false _let_78 false _let_131 false _let_73 false _let_71 true _let_127 false _let_130 false _let_126 false _let_125 false _let_79 false _let_78 false _let_76 false _let_74 false _let_73 false _let_71 false _let_44 false _let_47 true _let_49 true _let_35 true _let_70)) :args ((or _let_69 _let_52) false _let_124 false _let_123 false _let_122 false _let_121 false _let_120 false _let_118 false _let_83 false _let_82 false _let_117 false _let_116 false _let_115 false _let_114 false _let_113 false _let_79 false _let_112 false _let_110 false _let_107 false _let_104 false _let_99 false _let_97 false _let_96 false _let_95 false _let_92 false _let_89 false _let_78 false _let_87 false _let_84 false _let_73 false _let_71 true _let_40 false _let_37 true _let_53 false _let_42 true _let_54 false _let_35 true _let_60 false _let_58 false _let_49 true _let_67)) :args (_let_69 false _let_64 false _let_83 false _let_82 false _let_81 false _let_79 false _let_78 false _let_76 false _let_74 false _let_73 false _let_71 false _let_44 false _let_47 true _let_49 true _let_35 true _let_70 false _let_67 false _let_66 false _let_60 false _let_54 false _let_53 true _let_51)))) (let ((_let_683 (MACRO_RESOLUTION_TRUST _let_502 _let_682 :args (_let_58 true _let_63)))) (let ((_let_684 (MACRO_RESOLUTION_TRUST _let_280 (MACRO_RESOLUTION_TRUST _let_278 (MACRO_RESOLUTION_TRUST _let_273 _let_683 (MACRO_RESOLUTION_TRUST _let_503 _let_682 :args (_let_56 true _let_63)) :args (_let_62 false _let_58 false _let_56)) :args (_let_61 true _let_60)) :args (_let_55 true _let_54)))) (let ((_let_685 (MACRO_RESOLUTION_TRUST _let_283 _let_684 :args (_let_51 true _let_53)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_575 (MACRO_RESOLUTION_TRUST _let_577 (MACRO_RESOLUTION_TRUST _let_282 _let_684 :args (_let_37 true _let_53)) (MACRO_RESOLUTION_TRUST _let_681 _let_146 _let_590 _let_589 _let_683 _let_685 _let_151 _let_612 _let_613 _let_158 _let_287 _let_614 _let_615 _let_616 _let_290 _let_617 _let_618 _let_619 _let_620 _let_292 _let_163 _let_621 _let_622 _let_623 _let_624 _let_625 _let_626 _let_627 _let_628 _let_629 _let_630 _let_631 :args (_let_40 false _let_71 false _let_83 false _let_82 false _let_58 false _let_51 false _let_73 false _let_84 false _let_87 false _let_78 false _let_89 false _let_92 false _let_95 false _let_96 false _let_97 false _let_99 false _let_104 false _let_107 false _let_110 false _let_112 false _let_79 false _let_113 false _let_114 false _let_115 false _let_116 false _let_117 false _let_118 false _let_120 false _let_121 false _let_122 false _let_123 false _let_124)) :args (_let_576 false _let_37 false _let_40)) (MACRO_RESOLUTION_TRUST _let_142 (MACRO_RESOLUTION_TRUST _let_611 _let_685 :args (_let_49 false _let_51)) :args (_let_35 false _let_49)) :args (false true _let_42 false _let_35)) :args (_let_34 _let_33 _let_32 _let_31 _let_29 _let_28 _let_27 _let_26 _let_23 _let_22 _let_21 _let_20 _let_17 _let_16 (or _let_15 _let_7) (or _let_15 _let_3) _let_13 _let_10 (or _let_5 _let_7) (or _let_5 _let_3) _let_1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 8.57/8.79 )
% 8.57/8.82 % SZS output end Proof for GRP344-1
% 8.57/8.82 % cvc5---1.0.5 exiting
% 8.57/8.82 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------