TSTP Solution File: GRP363-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP363-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n017.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 00:25:48 EDT 2023
% Result : Unsatisfiable 0.73s 0.94s
% Output : Proof 0.83s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : GRP363-1 : TPTP v8.1.2. Released v2.5.0.
% 0.06/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n017.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Aug 29 00:08:28 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.49 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.CMHUBMWjxJ/cvc5---1.0.5_15806.p...
% 0.21/0.50 ------- get file name : TPTP file name is GRP363-1
% 0.21/0.50 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_15806.smt2...
% 0.21/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.73/0.94 % SZS status Unsatisfiable for GRP363-1
% 0.73/0.94 % SZS output start Proof for GRP363-1
% 0.83/1.01 (
% 0.83/1.01 (let ((_let_1 (forall ((X2 $$unsorted) (X1 $$unsorted) (X3 $$unsorted) (X4 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c5) tptp.sk_c7)) (not (= (tptp.inverse tptp.sk_c6) tptp.sk_c5)) (not (= (tptp.multiply X2 tptp.sk_c6) tptp.sk_c5)) (not (= (tptp.inverse X2) tptp.sk_c6)) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) (not (= (tptp.multiply X1 tptp.sk_c6) tptp.sk_c7)) (not (= (tptp.inverse X1) tptp.sk_c6)) (not (= (tptp.multiply tptp.sk_c7 X3) tptp.sk_c6)) (not (= (tptp.multiply X4 tptp.sk_c7) X3)) (not (= (tptp.inverse X4) tptp.sk_c7)))))) (let ((_let_2 (tptp.inverse tptp.sk_c3))) (let ((_let_3 (= _let_2 tptp.sk_c7))) (let ((_let_4 (tptp.inverse tptp.sk_c1))) (let ((_let_5 (= _let_4 tptp.sk_c6))) (let ((_let_6 (or _let_5 _let_3))) (let ((_let_7 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (let ((_let_8 (= _let_7 tptp.sk_c4))) (let ((_let_9 (or _let_5 _let_8))) (let ((_let_10 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (let ((_let_11 (= _let_10 tptp.sk_c6))) (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_c7))) (let ((_let_17 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (let ((_let_18 (= _let_17 tptp.sk_c5))) (let ((_let_19 (or _let_5 _let_18))) (let ((_let_20 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (let ((_let_21 (= _let_20 tptp.sk_c5))) (let ((_let_22 (or _let_21 _let_3))) (let ((_let_23 (or _let_21 _let_8))) (let ((_let_24 (or _let_21 _let_11))) (let ((_let_25 (or _let_21 _let_18))) (let ((_let_26 (tptp.inverse tptp.sk_c6))) (let ((_let_27 (= _let_26 tptp.sk_c5))) (let ((_let_28 (or _let_27 _let_3))) (let ((_let_29 (or _let_27 _let_8))) (let ((_let_30 (or _let_27 _let_11))) (let ((_let_31 (or _let_27 _let_14))) (let ((_let_32 (or _let_27 _let_16))) (let ((_let_33 (or _let_27 _let_18))) (let ((_let_34 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (let ((_let_35 (= _let_34 tptp.sk_c7))) (let ((_let_36 (or _let_35 _let_3))) (let ((_let_37 (or _let_35 _let_8))) (let ((_let_38 (or _let_35 _let_11))) (let ((_let_39 (or _let_35 _let_14))) (let ((_let_40 (or _let_35 _let_16))) (let ((_let_41 (or _let_35 _let_18))) (let ((_let_42 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))) (let ((_let_43 (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity)))) (let ((_let_44 (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)))) (let ((_let_45 (= tptp.sk_c7 _let_2))) (let ((_let_46 (= tptp.sk_c4 _let_7))) (let ((_let_47 (= tptp.sk_c7 _let_34))) (let ((_let_48 (= tptp.sk_c6 _let_10))) (let ((_let_49 (= tptp.sk_c5 _let_26))) (let ((_let_50 (= tptp.sk_c5 _let_20))) (let ((_let_51 (= tptp.sk_c6 _let_4))) (let ((_let_52 (not _let_51))) (let ((_let_53 (not _let_50))) (let ((_let_54 (or _let_53 _let_52))) (let ((_let_55 (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X2))))))) (let ((_let_56 (tptp.inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_57 (= tptp.sk_c6 _let_56))) (let ((_let_58 (not _let_57))) (let ((_let_59 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.sk_c6))) (let ((_let_60 (= tptp.sk_c5 _let_59))) (let ((_let_61 (not _let_60))) (let ((_let_62 (or _let_61 _let_58))) (let ((_let_63 (tptp.multiply _let_26 tptp.sk_c6))) (let ((_let_64 (= tptp.identity _let_63))) (let ((_let_65 (= tptp.identity (tptp.multiply _let_4 tptp.sk_c1)))) (let ((_let_66 (= tptp.identity (tptp.multiply _let_56 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_67 (tptp.multiply tptp.sk_c6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_68 (= (tptp.multiply _let_67 tptp.sk_c6) (tptp.multiply tptp.sk_c6 _let_59)))) (let ((_let_69 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (let ((_let_70 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (let ((_let_71 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (let ((_let_72 (tptp.multiply _let_71 tptp.sk_c5))) (let ((_let_73 (= _let_72 (tptp.multiply tptp.sk_c6 _let_34)))) (let ((_let_74 (= (tptp.multiply _let_71 tptp.sk_c7) (tptp.multiply tptp.sk_c6 _let_17)))) (let ((_let_75 (tptp.multiply _let_71 _let_17))) (let ((_let_76 (= (tptp.multiply (tptp.multiply _let_71 tptp.sk_c6) tptp.sk_c7) _let_75))) (let ((_let_77 (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (let ((_let_78 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (tptp.multiply tptp.identity SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_79 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.sk_c1))) (let ((_let_80 (tptp.multiply tptp.sk_c6 _let_79))) (let ((_let_81 (= (tptp.multiply _let_67 tptp.sk_c1) _let_80))) (let ((_let_82 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (let ((_let_83 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (let ((_let_84 (tptp.multiply _let_71 _let_83))) (let ((_let_85 (= (tptp.multiply _let_72 tptp.sk_c7) _let_84))) (let ((_let_86 (= (tptp.multiply (tptp.multiply _let_4 tptp.sk_c6) _let_79) (tptp.multiply _let_4 _let_80)))) (let ((_let_87 (= (tptp.multiply _let_84 tptp.sk_c5) (tptp.multiply _let_71 (tptp.multiply _let_83 tptp.sk_c5))))) (let ((_let_88 (= (tptp.multiply _let_84 tptp.sk_c7) (tptp.multiply _let_71 (tptp.multiply _let_83 tptp.sk_c7))))) (let ((_let_89 (tptp.multiply _let_67 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_90 (= (tptp.multiply _let_89 tptp.sk_c1) (tptp.multiply _let_67 _let_79)))) (let ((_let_91 (= (tptp.multiply _let_84 _let_79) (tptp.multiply _let_71 (tptp.multiply _let_83 _let_79))))) (let ((_let_92 (= (tptp.multiply _let_75 _let_79) (tptp.multiply _let_71 (tptp.multiply _let_17 _let_79))))) (let ((_let_93 (= (tptp.multiply (tptp.multiply tptp.sk_c6 _let_71) _let_83) (tptp.multiply tptp.sk_c6 _let_84)))) (let ((_let_94 (= tptp.sk_c7 _let_59))) (let ((_let_95 (= tptp.sk_c5 _let_17))) (let ((_let_96 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.sk_c7))) (let ((_let_97 (= (tptp.multiply _let_67 tptp.sk_c7) (tptp.multiply tptp.sk_c6 _let_96)))) (let ((_let_98 (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 _let_96)))) (let ((_let_99 (= tptp.sk_c7 _let_56))) (let ((_let_100 (not _let_94))) (let ((_let_101 (or _let_100 _let_58))) (let ((_let_102 (not _let_99))) (let ((_let_103 (not _let_98))) (let ((_let_104 (or _let_103 _let_102))) (let ((_let_105 (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X1))))))) (let ((_let_106 (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.multiply X4 tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.inverse X4))))))) (let ((_let_107 (not _let_47))) (let ((_let_108 (REORDERING (CNF_OR_POS :args (_let_54)) :args ((or _let_53 _let_52 (not _let_54)))))) (let ((_let_109 (_let_55))) (let ((_let_110 ((tptp.multiply X2 tptp.sk_c6)))) (let ((_let_111 (ASSUME :args _let_109))) (let ((_let_112 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (tptp.sk_c1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_110)) :args _let_109)))) (let ((_let_113 (or))) (let ((_let_114 (not _let_55))) (let ((_let_115 (_let_114))) (let ((_let_116 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_115)) :args _let_115)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_114) _let_55))) (REFL :args ((not _let_62))) :args _let_113)))) (let ((_let_117 (REFL :args (_let_62)))) (let ((_let_118 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_62 0)) (CONG _let_117 (MACRO_SR_PRED_INTRO :args ((= (not _let_61) _let_60))) :args _let_113)) :args ((or _let_60 _let_62))))) (let ((_let_119 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_62 1)) (CONG _let_117 (MACRO_SR_PRED_INTRO :args ((= (not _let_58) _let_57))) :args _let_113)) :args ((or _let_57 _let_62))))) (let ((_let_120 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))) (let ((_let_121 (EQ_RESOLVE (ASSUME :args (_let_43)) (MACRO_SR_EQ_INTRO :args (_let_43 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_122 (_let_120))) (let ((_let_123 ((tptp.inverse X)))) (let ((_let_124 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_121 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_123)) :args _let_122)) _let_121 :args (_let_66 false _let_120)))) (let ((_let_125 (_let_42))) (let ((_let_126 (ASSUME :args _let_125))) (let ((_let_127 ((tptp.multiply X (tptp.multiply Y Z))))) (let ((_let_128 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_126 :args (tptp.sk_c6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.sk_c6 QUANTIFIERS_INST_E_MATCHING _let_127)) :args _let_125)) _let_126 :args (_let_68 false _let_42)))) (let ((_let_129 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))) (let ((_let_130 (EQ_RESOLVE (ASSUME :args (_let_44)) (MACRO_SR_EQ_INTRO :args (_let_44 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_131 (_let_129))) (let ((_let_132 ((tptp.multiply tptp.identity X)))) (let ((_let_133 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_130 :args (tptp.sk_c6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_132)) :args _let_131)))) (let ((_let_134 (MACRO_RESOLUTION_TRUST _let_133 _let_130 :args (_let_69 false _let_129)))) (let ((_let_135 (and _let_47 _let_60 _let_57 _let_66 _let_68 _let_69))) (let ((_let_136 (ASSUME :args (_let_57)))) (let ((_let_137 (SYMM _let_136))) (let ((_let_138 (SYMM _let_137))) (let ((_let_139 (ASSUME :args (_let_69)))) (let ((_let_140 (SYMM _let_139))) (let ((_let_141 (APPLY_UF tptp.multiply))) (let ((_let_142 (REFL :args (tptp.sk_c6)))) (let ((_let_143 (ASSUME :args (_let_66)))) (let ((_let_144 (SYMM _let_143))) (let ((_let_145 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_146 (TRANS (CONG _let_138 _let_145 :args _let_141) _let_144))) (let ((_let_147 (CONG _let_146 _let_142 :args _let_141))) (let ((_let_148 (ASSUME :args (_let_68)))) (let ((_let_149 (SYMM _let_148))) (let ((_let_150 (ASSUME :args (_let_60)))) (let ((_let_151 (SYMM _let_150))) (let ((_let_152 (SYMM _let_151))) (let ((_let_153 (CONG _let_142 _let_152 :args _let_141))) (let ((_let_154 (ASSUME :args (_let_47)))) (let ((_let_155 (SYMM _let_154))) (let ((_let_156 (SYMM _let_155))) (let ((_let_157 (RESOLUTION (CNF_AND_NEG :args (_let_135)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_136 _let_139 _let_143 _let_148 _let_150 _let_154) (SCOPE (TRANS _let_156 _let_153 _let_149 _let_147 _let_140 _let_138) :args (_let_57 _let_69 _let_66 _let_68 _let_60 _let_47))) :args (_let_47 _let_60 _let_57 _let_66 _let_68 _let_69))) :args (true _let_135)))) (let ((_let_158 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_130 :args (tptp.sk_c7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_132)) :args _let_131)))) (let ((_let_159 (MACRO_RESOLUTION_TRUST _let_158 _let_130 :args (_let_70 false _let_129)))) (let ((_let_160 ((tptp.multiply (tptp.multiply X Y) Z)))) (let ((_let_161 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_126 :args (tptp.sk_c6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.sk_c7 QUANTIFIERS_INST_E_MATCHING _let_160)) :args _let_125)) _let_126 :args (_let_97 false _let_42)))) (let ((_let_162 (and _let_47 _let_60 _let_57 _let_66 _let_68 _let_69 _let_70 _let_97))) (let ((_let_163 (SYMM _let_156))) (let ((_let_164 (CONG _let_142 (SYMM _let_152) :args _let_141))) (let ((_let_165 (SYMM _let_149))) (let ((_let_166 (SYMM _let_144))) (let ((_let_167 (TRANS _let_166 (CONG (SYMM _let_138) _let_145 :args _let_141)))) (let ((_let_168 (CONG _let_167 _let_142 :args _let_141))) (let ((_let_169 (SYMM _let_140))) (let ((_let_170 (ASSUME :args (_let_97)))) (let ((_let_171 (SYMM (SYMM _let_170)))) (let ((_let_172 (REFL :args (tptp.sk_c7)))) (let ((_let_173 (ASSUME :args (_let_70)))) (let ((_let_174 (SYMM _let_173))) (let ((_let_175 (SYMM _let_174))) (let ((_let_176 (RESOLUTION (CNF_AND_NEG :args (_let_162)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_154 _let_150 _let_148 _let_136 _let_143 _let_139 _let_170 _let_173) (SCOPE (TRANS _let_169 _let_168 _let_165 _let_164 _let_163 _let_175 (CONG _let_167 _let_172 :args _let_141) _let_171 (CONG (TRANS _let_169 _let_168 _let_165 _let_164 _let_163) (REFL :args (_let_96)) :args _let_141)) :args (_let_47 _let_60 _let_68 _let_57 _let_66 _let_69 _let_97 _let_70))) :args (_let_47 _let_60 _let_57 _let_66 _let_68 _let_69 _let_70 _let_97))) :args (true _let_162)))) (let ((_let_177 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_121 :args (tptp.sk_c6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_123)) :args _let_122)))) (let ((_let_178 (MACRO_RESOLUTION_TRUST _let_177 _let_121 :args (_let_64 false _let_120)))) (let ((_let_179 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_121 :args (tptp.sk_c1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_123)) :args _let_122)))) (let ((_let_180 (MACRO_RESOLUTION_TRUST _let_179 _let_121 :args (_let_65 false _let_120)))) (let ((_let_181 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_126 :args (tptp.sk_c6 tptp.sk_c6 tptp.sk_c5 QUANTIFIERS_INST_E_MATCHING _let_127)) :args _let_125)) _let_126 :args (_let_73 false _let_42)))) (let ((_let_182 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_126 :args (_let_71 tptp.sk_c6 tptp.sk_c7 QUANTIFIERS_INST_E_MATCHING _let_127)) :args _let_125)) _let_126 :args (_let_76 false _let_42)))) (let ((_let_183 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_130 :args (tptp.sk_c1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_132)) :args _let_131)) _let_130 :args (_let_77 false _let_129)))) (let ((_let_184 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_130 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_132)) :args _let_131)) _let_130 :args (_let_78 false _let_129)))) (let ((_let_185 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_126 :args (tptp.sk_c6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.sk_c1 QUANTIFIERS_INST_E_MATCHING _let_160)) :args _let_125)) _let_126 :args (_let_81 false _let_42)))) (let ((_let_186 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_130 :args (tptp.sk_c5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_132)) :args _let_131)) _let_130 :args (_let_82 false _let_129)))) (let ((_let_187 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_126 :args (_let_71 tptp.sk_c5 tptp.sk_c7 QUANTIFIERS_INST_E_MATCHING _let_160)) :args _let_125)) _let_126 :args (_let_85 false _let_42)))) (let ((_let_188 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_126 :args (_let_4 tptp.sk_c6 _let_79 QUANTIFIERS_INST_E_MATCHING _let_127)) :args _let_125)) _let_126 :args (_let_86 false _let_42)))) (let ((_let_189 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_126 :args (_let_71 _let_83 tptp.sk_c5 QUANTIFIERS_INST_E_MATCHING _let_160)) :args _let_125)) _let_126 :args (_let_87 false _let_42)))) (let ((_let_190 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_126 :args (_let_71 _let_83 tptp.sk_c7 QUANTIFIERS_INST_E_MATCHING 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(MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_126 :args (tptp.sk_c6 _let_71 _let_83 QUANTIFIERS_INST_E_MATCHING _let_127)) :args _let_125)) _let_126 :args (_let_93 false _let_42)))) (let ((_let_294 (not _let_74))) (let ((_let_295 (and _let_47 _let_49 _let_51 _let_60 _let_57 _let_64 _let_65 _let_66 _let_68 _let_69 _let_70 _let_73 _let_74 _let_76 _let_77 _let_78 _let_81 _let_82 _let_85 _let_86 _let_87 _let_88 _let_90 _let_91 _let_92 _let_93))) (let ((_let_296 (= tptp.sk_c7 _let_71))) (let ((_let_297 (= tptp.sk_c5 _let_71))) (let ((_let_298 (CONG _let_241 _let_142 :args _let_141))) (let ((_let_299 (CONG _let_240 _let_229 :args _let_141))) (let ((_let_300 (CONG _let_145 _let_280 :args _let_141))) (let ((_let_301 (CONG (TRANS (CONG _let_146 _let_145 :args _let_141) (SYMM _let_283)) _let_285 :args _let_141))) (let ((_let_302 (SYMM _let_298))) (let ((_let_303 (CONG _let_302 (TRANS (CONG (TRANS _let_231 _let_281) _let_273 :args _let_141) (SYMM _let_279) _let_301 _let_300) 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_let_211 _let_210 _let_209 _let_208 _let_207 _let_206 _let_94 _let_294 _let_205 _let_204 _let_203 _let_202 _let_201 _let_200 _let_199 _let_198 _let_197 _let_196 _let_195 _let_194 (not _let_93)))))) (let ((_let_326 (REORDERING (CNF_OR_POS :args (_let_104)) :args ((or _let_103 _let_102 (not _let_104)))))) (let ((_let_327 (REORDERING (CNF_OR_POS :args (_let_101)) :args ((or _let_58 _let_100 (not _let_101)))))) (let ((_let_328 (_let_106))) (let ((_let_329 ((tptp.multiply X4 tptp.sk_c7)))) (let ((_let_330 (ASSUME :args _let_328))) (let ((_let_331 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_330 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_329)) :args _let_328)))) (let ((_let_332 (_let_105))) (let ((_let_333 ((tptp.multiply X1 tptp.sk_c6)))) (let ((_let_334 (ASSUME :args _let_332))) (let ((_let_335 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_334 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_333)) :args _let_332)))) (let ((_let_336 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_337 (tptp.multiply tptp.sk_c7 _let_7))) (let ((_let_338 (= tptp.sk_c6 _let_337))) (let ((_let_339 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.sk_c6))) (let ((_let_340 (= tptp.sk_c7 _let_339))) (let ((_let_341 (not _let_45))) (let ((_let_342 (not _let_338))) (let ((_let_343 (or _let_342 _let_341))) (let ((_let_344 (tptp.inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_345 (= tptp.sk_c6 _let_344))) (let ((_let_346 (not _let_345))) (let ((_let_347 (not _let_340))) (let ((_let_348 (or _let_347 _let_346))) (let ((_let_349 (tptp.inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_350 (= tptp.sk_c7 _let_349))) (let ((_let_351 (not _let_350))) (let ((_let_352 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.sk_c7))) (let ((_let_353 (tptp.multiply tptp.sk_c7 _let_352))) (let ((_let_354 (= tptp.sk_c6 _let_353))) (let ((_let_355 (not _let_354))) (let ((_let_356 (or _let_355 _let_351))) (let ((_let_357 (tptp.multiply tptp.sk_c7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_358 (= tptp.sk_c6 (tptp.inverse _let_357)))) (let ((_let_359 (not _let_358))) (let ((_let_360 (tptp.multiply _let_357 tptp.sk_c6))) (let ((_let_361 (= tptp.sk_c7 _let_360))) (let ((_let_362 (not _let_361))) (let ((_let_363 (or _let_362 _let_359))) (let ((_let_364 (= tptp.sk_c6 _let_13))) (let ((_let_365 (not _let_364))) (let ((_let_366 (= tptp.sk_c7 _let_15))) (let ((_let_367 (not _let_366))) (let ((_let_368 (or _let_367 _let_365))) (let ((_let_369 (tptp.multiply _let_352 tptp.sk_c3))) (let ((_let_370 (tptp.multiply _let_353 _let_369))) (let ((_let_371 (= tptp.sk_c6 (tptp.inverse _let_370)))) (let ((_let_372 (not _let_371))) (let ((_let_373 (= tptp.sk_c7 (tptp.multiply _let_370 tptp.sk_c6)))) (let ((_let_374 (not _let_373))) (let ((_let_375 (or _let_374 _let_372))) (let ((_let_376 (= tptp.identity (tptp.multiply _let_2 tptp.sk_c3)))) (let ((_let_377 (tptp.multiply tptp.sk_c7 tptp.sk_c3))) (let ((_let_378 (= (tptp.multiply _let_377 tptp.sk_c7) _let_337))) (let ((_let_379 (tptp.multiply _let_357 tptp.sk_c7))) (let ((_let_380 (= _let_353 _let_379))) (let ((_let_381 (= _let_360 (tptp.multiply tptp.sk_c7 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.sk_c6))))) (let ((_let_382 (= (tptp.multiply _let_352 tptp.sk_c4) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_10)))) (let ((_let_383 (tptp.multiply _let_369 tptp.sk_c7))) (let ((_let_384 (= _let_383 (tptp.multiply _let_352 _let_7)))) (let ((_let_385 (= (tptp.multiply _let_370 tptp.sk_c7) (tptp.multiply _let_353 _let_383)))) (let ((_let_386 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.multiply tptp.identity SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_387 (tptp.multiply _let_357 _let_357))) (let ((_let_388 (= _let_387 (tptp.multiply _let_379 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_389 (= tptp.sk_c7 (tptp.inverse _let_387)))) (let ((_let_390 (= tptp.identity (tptp.multiply _let_349 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_391 (tptp.multiply _let_352 _let_352))) (let ((_let_392 (= (tptp.multiply _let_353 _let_352) (tptp.multiply tptp.sk_c7 _let_391)))) (let ((_let_393 (tptp.multiply _let_352 tptp.sk_c5))) (let ((_let_394 (= _let_393 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) (let ((_let_395 (= _let_391 (tptp.multiply (tptp.multiply _let_352 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) tptp.sk_c7)))) (let ((_let_396 (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (let ((_let_397 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.sk_c3))) (let ((_let_398 (tptp.multiply tptp.sk_c6 _let_397))) (let ((_let_399 (= (tptp.multiply _let_67 tptp.sk_c3) _let_398))) (let ((_let_400 (= (tptp.multiply _let_383 _let_352) (tptp.multiply _let_369 _let_353)))) (let ((_let_401 (tptp.multiply tptp.sk_c5 tptp.sk_c3))) (let ((_let_402 (tptp.multiply _let_391 _let_401))) (let ((_let_403 (= (tptp.multiply (tptp.multiply _let_391 tptp.sk_c5) tptp.sk_c3) _let_402))) (let ((_let_404 (= (tptp.multiply _let_89 tptp.sk_c3) (tptp.multiply _let_67 _let_397)))) (let ((_let_405 (= (tptp.multiply (tptp.multiply _let_353 _let_391) _let_401) (tptp.multiply _let_353 _let_402)))) (let ((_let_406 (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) _let_397) (tptp.multiply tptp.sk_c5 _let_398)))) (let ((_let_407 (not _let_46))) (let ((_let_408 (not _let_48))) (let ((_let_409 (and _let_48 _let_46))) (let ((_let_410 (ASSUME :args (_let_46)))) (let ((_let_411 (SYMM _let_410))) (let ((_let_412 (SYMM _let_411))) (let ((_let_413 (CONG _let_172 _let_412 :args _let_141))) (let ((_let_414 (ASSUME :args (_let_48)))) (let ((_let_415 (SYMM _let_414))) (let ((_let_416 (SYMM _let_415))) (let ((_let_417 (RESOLUTION (CNF_AND_NEG :args (_let_409)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_410 _let_414) (SCOPE (TRANS _let_416 _let_413) :args (_let_46 _let_48))) :args (_let_48 _let_46))) :args (true _let_409)))) (let ((_let_418 (= tptp.sk_c6 _let_2))) (let ((_let_419 (not _let_418))) (let ((_let_420 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (let ((_let_421 (= tptp.sk_c7 _let_420))) (let ((_let_422 (not _let_421))) (let ((_let_423 (or _let_422 _let_419))) (let ((_let_424 (= (tptp.multiply _let_353 tptp.sk_c5) (tptp.multiply tptp.sk_c7 _let_393)))) (let ((_let_425 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_353))) (let ((_let_426 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.sk_c7))) (let ((_let_427 (tptp.multiply _let_426 _let_352))) (let ((_let_428 (= _let_427 _let_425))) (let ((_let_429 (tptp.multiply _let_426 _let_391))) (let ((_let_430 (= (tptp.multiply (tptp.multiply _let_26 _let_426) _let_391) (tptp.multiply _let_26 _let_429)))) (let ((_let_431 (= _let_352 (tptp.multiply tptp.identity _let_352)))) (let ((_let_432 (= (tptp.multiply _let_383 tptp.sk_c3) (tptp.multiply _let_369 _let_377)))) (let ((_let_433 (= (tptp.multiply _let_383 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.multiply _let_369 _let_357)))) (let ((_let_434 (tptp.multiply tptp.sk_c3 _let_427))) (let ((_let_435 (= (tptp.multiply _let_369 _let_427) (tptp.multiply _let_352 _let_434)))) (let ((_let_436 (= (tptp.multiply (tptp.multiply _let_357 tptp.sk_c3) _let_427) (tptp.multiply _let_357 _let_434)))) (let ((_let_437 (REORDERING (CNF_OR_POS :args (_let_343)) :args ((or _let_341 _let_342 (not _let_343)))))) (let ((_let_438 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_330 :args (tptp.sk_c3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_329)) :args _let_328)))) (let ((_let_439 (not _let_106))) (let ((_let_440 (_let_439))) (let ((_let_441 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_440)) :args _let_440)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_439) _let_106))) (REFL :args ((not _let_356))) :args _let_113)))) (let ((_let_442 (REFL :args (_let_356)))) (let ((_let_443 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_356 1)) (CONG _let_442 (MACRO_SR_PRED_INTRO :args ((= (not _let_351) _let_350))) :args _let_113)) :args ((or _let_350 _let_356))))) (let ((_let_444 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_356 0)) (CONG _let_442 (MACRO_SR_PRED_INTRO :args ((= (not _let_355) _let_354))) :args _let_113)) :args ((or _let_354 _let_356))))) (let ((_let_445 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_126 :args (tptp.sk_c7 tptp.sk_c3 tptp.sk_c7 QUANTIFIERS_INST_E_MATCHING _let_127)) :args _let_125)))) (let ((_let_446 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_121 :args (tptp.sk_c3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_123)) :args _let_122)))) (let ((_let_447 (and _let_48 _let_46 _let_45 _let_376 _let_378 _let_70))) (let ((_let_448 (ASSUME :args (_let_45)))) (let ((_let_449 (SYMM _let_448))) (let ((_let_450 (SYMM _let_449))) (let ((_let_451 (ASSUME :args (_let_376)))) (let ((_let_452 (SYMM _let_451))) (let ((_let_453 (REFL :args (tptp.sk_c3)))) (let ((_let_454 (CONG _let_450 _let_453 :args _let_141))) (let ((_let_455 (CONG (TRANS 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(ASSUME :args (_let_38)) (MACRO_SR_EQ_INTRO :args (_let_38 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_468 (MACRO_RESOLUTION_TRUST _let_446 _let_121 :args (_let_376 false _let_120)))) (let ((_let_469 (MACRO_RESOLUTION_TRUST _let_445 _let_126 :args (_let_378 false _let_42)))) (let ((_let_470 (not _let_378))) (let ((_let_471 (not _let_376))) (let ((_let_472 (and _let_48 _let_46 _let_45 _let_60 _let_57 _let_376 _let_66 _let_378 _let_69 _let_70 _let_97))) (let ((_let_473 (CONG _let_172 _let_411 :args _let_141))) (let ((_let_474 (SYMM _let_457))) (let ((_let_475 (CONG _let_449 _let_453 :args _let_141))) (let ((_let_476 (SYMM _let_452))) (let ((_let_477 (CONG (TRANS _let_476 _let_475) _let_172 :args _let_141))) (let ((_let_478 (TRANS _let_175 _let_477 _let_474 _let_473 _let_415))) (let ((_let_479 (SYMM _let_478))) (let ((_let_480 (not _let_368))) (let ((_let_481 (REORDERING (CNF_OR_POS :args (_let_368)) :args ((or _let_367 _let_365 _let_480))))) (let ((_let_482 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_334 :args (tptp.sk_c2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_333)) :args _let_332)))) (let ((_let_483 (not _let_105))) (let ((_let_484 (_let_483))) (let ((_let_485 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_484)) :args _let_484)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_483) _let_105))) (REFL :args ((not _let_348))) :args _let_113)))) (let ((_let_486 (REFL :args (_let_348)))) (let ((_let_487 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_348 0)) (CONG _let_486 (MACRO_SR_PRED_INTRO :args ((= (not _let_347) _let_340))) :args _let_113)) :args ((or _let_340 _let_348))))) (let ((_let_488 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_348 1)) (CONG _let_486 (MACRO_SR_PRED_INTRO :args ((= (not _let_346) _let_345))) :args _let_113)) :args ((or _let_345 _let_348))))) (let ((_let_489 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_126 :args (tptp.sk_c6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.sk_c6 QUANTIFIERS_INST_E_MATCHING _let_127)) :args _let_125)))) (let ((_let_490 (MACRO_RESOLUTION_TRUST _let_489 _let_126 :args (_let_464 false _let_42)))) (let ((_let_491 (and _let_95 _let_366 _let_48 _let_46 _let_45 _let_340 _let_345 _let_376 _let_462 _let_464 _let_378 _let_70))) (let ((_let_492 (ASSUME :args (_let_366)))) (let ((_let_493 (ASSUME :args (_let_340)))) (let ((_let_494 (SYMM _let_493))) (let ((_let_495 (TRANS _let_173 _let_477 _let_474 _let_473 _let_415))) (let ((_let_496 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_497 (CONG _let_496 _let_495 :args _let_141))) (let ((_let_498 (TRANS _let_497 _let_494))) (let ((_let_499 (ASSUME :args (_let_462)))) (let ((_let_500 (ASSUME :args (_let_345)))) (let ((_let_501 (SYMM _let_500))) (let ((_let_502 (SYMM _let_501))) (let ((_let_503 (SYMM _let_477))) (let ((_let_504 (SYMM _let_473))) (let ((_let_505 (REFL :args (_let_463)))) (let ((_let_506 (ASSUME :args (_let_464)))) (let ((_let_507 (SYMM _let_506))) (let ((_let_508 (ASSUME :args (_let_95)))) (let ((_let_509 (SYMM _let_508))) (let ((_let_510 (SYMM _let_509))) (let ((_let_511 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_491)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_492 _let_173 _let_499 _let_500 _let_414 _let_410 _let_456 _let_448 _let_451 _let_493 _let_506 _let_508) (SCOPE (TRANS _let_510 (CONG _let_142 (SYMM _let_498) :args _let_141) (CONG _let_142 _let_497 :args _let_141) _let_507 (CONG _let_505 (TRANS _let_414 _let_504 _let_457 _let_503 _let_174 _let_493 (SYMM _let_497)) :args _let_141) (CONG (TRANS (CONG (SYMM _let_495) _let_496 :args _let_141) (CONG (TRANS _let_173 _let_477 _let_474 _let_473 _let_415 _let_502) _let_496 :args _let_141) (SYMM _let_499)) _let_498 :args _let_141) _let_174 (SYMM (SYMM _let_492))) :args (_let_366 _let_70 _let_462 _let_345 _let_48 _let_46 _let_378 _let_45 _let_376 _let_340 _let_464 _let_95))) :args (_let_95 _let_366 _let_48 _let_46 _let_45 _let_340 _let_345 _let_376 _let_462 _let_464 _let_378 _let_70))) :args (true _let_491)) _let_159 _let_469 _let_490 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_121 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_123)) :args _let_122)) _let_121 :args (_let_462 false _let_120)) _let_468 _let_488 _let_487 (REORDERING (CNF_OR_POS :args (_let_461)) :args ((or _let_365 _let_460 (not _let_461)))) _let_485 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (tptp.sk_c2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_110)) :args _let_109)) _let_482 _let_116 _let_481 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_472)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_150 _let_414 _let_410 _let_456 _let_448 _let_451 _let_173 _let_170 _let_136 _let_143 _let_139) (SCOPE (TRANS _let_175 _let_477 _let_474 _let_473 _let_415 _let_169 (CONG (TRANS _let_166 (CONG _let_137 _let_145 :args _let_141)) _let_479 :args _let_141) _let_171 (CONG _let_142 (TRANS (CONG _let_145 _let_478 :args _let_141) _let_151) :args _let_141)) :args (_let_60 _let_48 _let_46 _let_378 _let_45 _let_376 _let_70 _let_97 _let_57 _let_66 _let_69))) :args (_let_48 _let_46 _let_45 _let_60 _let_57 _let_376 _let_66 _let_378 _let_69 _let_70 _let_97))) :args (true _let_472)) :args ((or _let_47 _let_408 _let_407 _let_341 _let_61 _let_58 _let_471 _let_210 _let_470 _let_208 _let_207 (not _let_97)))) _let_161 _let_159 _let_134 _let_469 _let_124 _let_468 _let_119 _let_118 _let_467 _let_466 _let_465 :args ((or _let_47 _let_62) false _let_97 false _let_70 false _let_69 false _let_378 false _let_66 false _let_376 false _let_57 false _let_60 false _let_48 false _let_46 false _let_45)) (EQ_RESOLVE (ASSUME :args (_let_39)) (MACRO_SR_EQ_INTRO :args (_let_39 SB_DEFAULT SBA_FIXPOINT))) (EQ_RESOLVE (ASSUME :args (_let_40)) (MACRO_SR_EQ_INTRO :args (_let_40 SB_DEFAULT SBA_FIXPOINT))) (EQ_RESOLVE (ASSUME :args (_let_41)) (MACRO_SR_EQ_INTRO :args (_let_41 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_47 _let_408 _let_407 _let_341) false _let_70 false _let_378 false _let_464 false _let_462 false _let_376 false _let_345 false _let_340 true _let_459 true _let_348 false _let_461 true _let_105 false _let_55 true _let_368 false _let_62 false _let_364 false _let_366 false _let_95)))) (let ((_let_512 (tptp.multiply tptp.sk_c3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_513 (tptp.multiply _let_512 tptp.sk_c6))) (let ((_let_514 (= _let_513 (tptp.multiply tptp.sk_c3 _let_339)))) (let ((_let_515 (tptp.multiply tptp.sk_c6 _let_352))) (let ((_let_516 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_515))) (let ((_let_517 (= (tptp.multiply _let_516 tptp.sk_c7) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.multiply _let_515 tptp.sk_c7))))) (let ((_let_518 (= (tptp.multiply _let_425 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.multiply _let_353 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_519 (= (tptp.multiply _let_425 tptp.sk_c3) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.multiply _let_353 tptp.sk_c3))))) (let ((_let_520 (= (tptp.multiply (tptp.multiply tptp.sk_c7 _let_512) tptp.sk_c6) (tptp.multiply tptp.sk_c7 _let_513)))) (let ((_let_521 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_522 (tptp.multiply _let_521 tptp.sk_c6))) (let ((_let_523 (= (tptp.multiply (tptp.multiply tptp.sk_c7 _let_521) tptp.sk_c6) (tptp.multiply tptp.sk_c7 _let_522)))) (let ((_let_524 (= (tptp.multiply (tptp.multiply _let_357 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) _let_353) (tptp.multiply _let_357 _let_425)))) (let ((_let_525 (tptp.multiply tptp.sk_c6 _let_521))) (let ((_let_526 (= (tptp.multiply _let_525 tptp.sk_c6) (tptp.multiply tptp.sk_c6 _let_522)))) (let ((_let_527 (tptp.multiply tptp.sk_c6 _let_512))) (let ((_let_528 (tptp.multiply _let_527 tptp.sk_c6))) (let ((_let_529 (= _let_528 (tptp.multiply tptp.sk_c6 _let_513)))) (let ((_let_530 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.multiply tptp.identity SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_531 (= _let_516 (tptp.multiply tptp.identity _let_516)))) (let ((_let_532 (= (tptp.multiply _let_352 _let_34) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.multiply tptp.sk_c7 _let_34))))) (let ((_let_533 (tptp.multiply _let_352 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_534 (= _let_533 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.multiply tptp.sk_c7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_535 (= (tptp.multiply _let_521 _let_34) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_34))))) (let ((_let_536 (= (tptp.multiply _let_429 tptp.sk_c3) (tptp.multiply _let_426 (tptp.multiply _let_391 tptp.sk_c3))))) (let ((_let_537 (= (tptp.multiply _let_429 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.multiply _let_426 (tptp.multiply _let_391 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_538 (= _let_527 (tptp.multiply (tptp.multiply tptp.sk_c6 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(MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_1258)) (TRUE_INTRO (TRANS (TRANS _let_448 _let_1236) (TRANS _let_1237 _let_449 _let_1098 _let_226 _let_1255 _let_224) _let_1257 (SYMM _let_1256) _let_1256 (SYMM (TRANS (SYMM (ASSUME :args (_let_1253))) _let_1255)))))) :args (_let_64 _let_1254 _let_49 _let_1097 _let_45 _let_418 _let_1253 _let_422)) :args ((not (and _let_47 _let_48 _let_46 _let_45 _let_49 _let_354 _let_350 _let_340 _let_64 _let_376 _let_390 _let_424 _let_378 _let_380 _let_428 _let_69 _let_70 _let_394 _let_382 _let_430 _let_395 _let_384 _let_418 _let_422 _let_396 _let_431 _let_400 _let_432 _let_433 _let_435 _let_436 _let_388 _let_82)) SB_LITERAL))) (CONG _let_1232 _let_1231 _let_1230 _let_1229 _let_1228 _let_1227 _let_1226 _let_1225 _let_1224 _let_1223 _let_1222 _let_1221 _let_1220 _let_1219 _let_1218 _let_1217 _let_1216 _let_1215 _let_1214 _let_1213 _let_1212 _let_1211 (REFL :args (_let_419)) (MACRO_SR_PRED_INTRO :args ((= (not _let_422) _let_421))) _let_1210 _let_1208 _let_1207 _let_1206 _let_1205 _let_1204 _let_1203 _let_1202 (REFL :args (_let_201)) :args _let_113)) :args ((or _let_107 _let_213 _let_408 _let_407 _let_341 _let_355 _let_351 _let_347 _let_212 _let_471 _let_600 _let_599 _let_470 _let_597 _let_596 _let_208 _let_207 _let_419 _let_421 _let_590 _let_587 _let_586 _let_803 _let_582 _let_802 _let_581 _let_580 _let_579 _let_578 _let_799 _let_798 _let_577 _let_201))) _let_186 _let_990 _let_1095 _let_1094 _let_989 _let_988 _let_987 _let_985 _let_1092 _let_984 _let_1091 _let_980 _let_979 _let_976 _let_159 _let_134 _let_970 _let_969 _let_469 _let_967 _let_966 _let_468 _let_178 (REORDERING (CNF_OR_POS :args (_let_423)) :args ((or _let_419 _let_422 (not _let_423)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_334 :args (tptp.sk_c3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_333)) :args _let_332)) _let_482 _let_485 _let_488 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO (MODUS_PONENS (AND_INTRO _let_1240 _let_414 _let_410 _let_456 _let_448 _let_451 _let_173 _let_493 _let_619 _let_644 _let_648 _let_611 _let_616 _let_154 _let_653 _let_657 _let_680 _let_912 _let_720 _let_722 _let_765 _let_914 _let_762 _let_917 _let_920 _let_926 _let_695 _let_698 _let_704 _let_708 _let_506 _let_500 _let_624 _let_758 _let_755 _let_750 _let_259 _let_741 _let_687 _let_718 _let_728 _let_223 _let_672 _let_636 _let_869 _let_139 _let_1238) (SCOPE (FALSE_ELIM (TRANS (CONG _let_222 (SYMM (TRANS (SYMM (TRANS _let_1137 _let_932 _let_1133 _let_1130 _let_1120 (CONG _let_478 _let_172 :args _let_141))) (SYMM (TRANS _let_1239 _let_1040 _let_705 _let_1039 _let_996 _let_494 _let_175 _let_477 _let_474 _let_473 _let_415 _let_169 (CONG _let_1177 (TRANS _let_414 _let_504 _let_457 _let_503 _let_174 _let_493) :args _let_141) (CONG (TRANS _let_1010 _let_638 _let_1115 _let_674 _let_1017 _let_1113 _let_224 _let_870 (CONG (TRANS (TRANS (CONG (TRANS _let_1171 _let_1252 _let_759 _let_1151 _let_1149 _let_763 _let_1147 _let_1174 _let_699) :args _let_602) _let_1173) _let_1172 _let_1122) (TRANS _let_1171 _let_1252 _let_759 _let_1151 _let_1149 _let_763 _let_1147 _let_696) :args _let_141) _let_1146) _let_1145 :args _let_141) _let_1144 _let_910 _let_1143 _let_1142 _let_1141 _let_944 _let_1140)))) :args _let_1241) (FALSE_INTRO _let_1240))) :args (_let_552 _let_48 _let_46 _let_378 _let_45 _let_376 _let_70 _let_340 _let_354 _let_380 _let_381 _let_382 _let_384 _let_47 _let_394 _let_424 _let_428 _let_531 _let_390 _let_350 _let_388 _let_524 _let_539 _let_523 _let_535 _let_526 _let_530 _let_538 _let_520 _let_514 _let_464 _let_345 _let_400 _let_540 _let_537 _let_518 _let_65 _let_519 _let_536 _let_432 _let_433 _let_64 _let_430 _let_431 _let_542 _let_69 _let_529))) (MODUS_PONENS (AND_INTRO _let_1238 _let_414 _let_410 _let_456 _let_448 _let_451 _let_173 _let_704 _let_698 _let_695 _let_493) (SCOPE (TRANS _let_779 (CONG _let_496 _let_479 :args _let_141) (CONG (TRANS (TRANS (SYMM _let_696) (CONG (TRANS _let_476 (CONG (TRANS _let_449 _let_478) _let_453 :args _let_141)) _let_496 :args _let_141) (SYMM _let_700)) (CONG _let_479 _let_702 :args _let_141)) _let_478 :args _let_141) (SYMM _let_705) (CONG _let_478 _let_706 :args _let_141) (SYMM _let_1239)) :args (_let_529 _let_48 _let_46 _let_378 _let_45 _let_376 _let_70 _let_520 _let_538 _let_530 _let_340))) _let_1106 _let_225 _let_1200 _let_448 _let_458 _let_139) :args (_let_47 _let_48 _let_46 _let_45 _let_49 _let_552 _let_354 _let_350 _let_340 _let_345 _let_64 _let_376 _let_65 _let_390 _let_424 _let_464 _let_378 _let_514 _let_380 _let_428 _let_69 _let_70 _let_517 _let_518 _let_519 _let_381 _let_520 _let_523 _let_524 _let_526 _let_529 _let_530 _let_531 _let_394 _let_532 _let_534 _let_535 _let_536 _let_537 _let_382 _let_430 _let_538 _let_539 _let_540 _let_395 _let_384 _let_396 _let_386 _let_431 _let_542 _let_400 _let_432 _let_433 _let_435 _let_436 _let_388)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO (TRANS (SYMM (TRANS _let_1237 _let_449 _let_1098 _let_226)) _let_139 (TRANS _let_140 _let_1237 _let_449 _let_1099) (TRANS _let_1100 (SYMM (SYMM (ASSUME :args (_let_1233)))))))) (FALSE_INTRO (ASSUME :args (_let_1234))))) :args (_let_1234 _let_1233 _let_361 _let_49 _let_1097 _let_45 _let_418 _let_69)) :args ((not (and _let_47 _let_48 _let_46 _let_45 _let_49 _let_552 _let_354 _let_350 _let_340 _let_345 _let_64 _let_376 _let_65 _let_390 _let_424 _let_464 _let_378 _let_514 _let_380 _let_428 _let_69 _let_70 _let_517 _let_518 _let_519 _let_381 _let_520 _let_523 _let_524 _let_526 _let_529 _let_530 _let_531 _let_394 _let_532 _let_534 _let_535 _let_536 _let_537 _let_382 _let_430 _let_538 _let_539 _let_540 _let_395 _let_384 _let_396 _let_386 _let_431 _let_542 _let_400 _let_432 _let_433 _let_435 _let_436 _let_388)) SB_LITERAL))) (CONG _let_1232 _let_1231 _let_1230 _let_1229 _let_1228 (MACRO_SR_PRED_INTRO :args ((= (not _let_552) _let_95))) _let_1227 _let_1226 _let_1225 (REFL :args (_let_346)) _let_1224 _let_1223 (REFL :args (_let_211)) _let_1222 _let_1221 (REFL :args (_let_812)) _let_1220 (REFL :args (_let_598)) _let_1219 _let_1218 _let_1217 _let_1216 (REFL :args (_let_811)) (REFL :args (_let_595)) (REFL :args (_let_594)) (REFL :args (_let_593)) (REFL :args (_let_592)) (REFL :args (_let_810)) (REFL :args (_let_809)) (REFL :args (_let_808)) (REFL :args (_let_1201)) (REFL :args (_let_591)) (REFL :args (_let_807)) _let_1215 (REFL :args (_let_806)) (REFL :args (_let_805)) (REFL :args (_let_804)) (REFL :args (_let_589)) (REFL :args (_let_588)) _let_1214 _let_1213 (REFL :args (_let_585)) (REFL :args (_let_584)) (REFL :args (_let_583)) _let_1212 _let_1211 _let_1210 _let_1209 _let_1208 (REFL :args (_let_800)) _let_1207 _let_1206 _let_1205 _let_1204 _let_1203 _let_1202 :args _let_113)) :args ((or _let_95 _let_107 _let_213 _let_408 _let_407 _let_341 _let_355 _let_351 _let_347 _let_346 _let_212 _let_471 _let_211 _let_600 _let_599 _let_812 _let_470 _let_598 _let_597 _let_596 _let_208 _let_207 _let_811 _let_595 _let_594 _let_593 _let_592 _let_810 _let_809 _let_808 _let_1201 _let_591 _let_807 _let_590 _let_806 _let_805 _let_804 _let_589 _let_588 _let_587 _let_586 _let_585 _let_584 _let_583 _let_803 _let_582 _let_802 _let_801 _let_581 _let_800 _let_580 _let_579 _let_578 _let_799 _let_798 _let_577))) _let_990 _let_1095 _let_1094 _let_989 _let_988 _let_987 _let_986 _let_985 _let_1093 _let_1092 _let_984 _let_1091 _let_983 _let_982 _let_981 _let_980 _let_979 _let_978 _let_977 _let_1090 _let_1089 _let_1088 _let_976 _let_1087 _let_975 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_126 :args (tptp.sk_c6 _let_512 tptp.sk_c6 QUANTIFIERS_INST_E_MATCHING _let_127)) :args _let_125)) _let_126 :args (_let_529 false _let_42)) _let_1086 _let_1085 _let_1084 _let_974 _let_973 _let_972 _let_971 _let_1083 _let_159 _let_134 _let_970 _let_969 _let_968 _let_469 _let_490 _let_967 _let_966 _let_180 _let_468 _let_178 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_33)) (MACRO_SR_EQ_INTRO :args (_let_33 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_95 _let_49))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (_let_357 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_110)) :args _let_109)) _let_336 (REORDERING (CNF_OR_POS :args (_let_551)) :args ((or _let_550 _let_359 (not _let_551)))) (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_1096)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_1200 _let_1106 _let_1082) (SCOPE (TRANS (SYMM (SYMM (ASSUME :args (_let_549)))) _let_1100 _let_1098) :args (_let_1097 _let_361 _let_549))) :args (_let_47 _let_95 _let_48 _let_46 _let_45 _let_354 _let_350 _let_340 _let_345 _let_64 _let_376 _let_65 _let_390 _let_424 _let_464 _let_378 _let_514 _let_380 _let_428 _let_69 _let_70 _let_517 _let_518 _let_519 _let_381 _let_520 _let_523 _let_524 _let_526 _let_530 _let_531 _let_394 _let_532 _let_534 _let_535 _let_536 _let_537 _let_382 _let_430 _let_538 _let_539 _let_540 _let_395 _let_384 _let_396 _let_386 _let_431 _let_542 _let_400 _let_432 _let_433 _let_435 _let_436 _let_388))) :args (true _let_1096)) :args ((or _let_49 _let_107 _let_552 _let_408 _let_407 _let_341 _let_355 _let_351 _let_347 _let_346 _let_212 _let_471 _let_211 _let_600 _let_599 _let_812 _let_470 _let_598 _let_597 _let_596 _let_208 _let_207 _let_811 _let_595 _let_594 _let_593 _let_592 _let_810 _let_809 _let_808 _let_591 _let_807 _let_590 _let_806 _let_805 _let_804 _let_589 _let_588 _let_587 _let_586 _let_585 _let_584 _let_583 _let_803 _let_582 _let_802 _let_801 _let_581 _let_800 _let_580 _let_579 _let_578 _let_799 _let_798 _let_577))) _let_990 _let_1095 _let_1094 _let_989 _let_988 _let_987 _let_986 _let_985 _let_1093 _let_1092 _let_984 _let_1091 _let_983 _let_982 _let_981 _let_980 _let_979 _let_978 _let_977 _let_1090 _let_1089 _let_1088 _let_976 _let_1087 _let_975 _let_1086 _let_1085 _let_1084 _let_974 _let_973 _let_972 _let_971 _let_1083 _let_159 _let_134 _let_970 _let_969 _let_968 _let_469 _let_490 _let_967 _let_966 _let_180 _let_468 _let_178 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_991)) (IMPLIES_ELIM (SCOPE _let_1082 :args (_let_47 _let_95 _let_48 _let_46 _let_45 _let_354 _let_350 _let_340 _let_345 _let_64 _let_376 _let_65 _let_390 _let_424 _let_464 _let_378 _let_514 _let_380 _let_428 _let_69 _let_70 _let_518 _let_519 _let_381 _let_520 _let_530 _let_394 _let_536 _let_537 _let_382 _let_430 _let_538 _let_539 _let_540 _let_384 _let_431 _let_542 _let_400 _let_432 _let_433 _let_388))) :args (true _let_991)) :args ((or _let_107 _let_552 _let_408 _let_407 _let_341 _let_355 _let_351 _let_347 _let_346 _let_212 _let_471 _let_211 _let_600 _let_599 _let_812 _let_470 _let_598 _let_597 _let_596 _let_208 _let_207 _let_595 _let_594 _let_593 _let_592 _let_549 _let_591 _let_590 _let_589 _let_588 _let_587 _let_586 _let_585 _let_584 _let_583 _let_582 _let_581 _let_800 _let_580 _let_579 _let_578 _let_577))) _let_990 _let_989 _let_988 _let_987 _let_986 _let_985 _let_984 _let_983 _let_982 _let_981 _let_980 _let_979 _let_978 _let_977 _let_976 _let_975 _let_974 _let_973 _let_972 _let_971 _let_159 _let_134 _let_970 _let_969 _let_968 _let_469 _let_490 _let_967 _let_966 _let_180 _let_468 _let_178 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_813)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_173 _let_451 _let_448 _let_456 _let_410 _let_414 _let_722 _let_720 _let_223 _let_493 _let_619 _let_644 _let_648 _let_611 _let_616 _let_154 _let_653 _let_657 _let_680 _let_624 _let_672 _let_636 _let_827 _let_728 _let_718 _let_839 _let_765 _let_852 _let_860 _let_940 _let_139 _let_869 _let_687 _let_695 _let_698 _let_704 _let_708 _let_741 _let_259 _let_750 _let_755 _let_758 _let_762 _let_500 _let_506 _let_912 _let_914 _let_917 _let_920 _let_926 _let_936 _let_946 _let_960) (SCOPE (TRANS _let_416 _let_413 _let_606 _let_605 _let_603 _let_450 (CONG _let_964 :args _let_602) (CONG (TRANS _let_901 _let_730 _let_886 _let_963 _let_962 _let_961 _let_959 (SYMM _let_965)) :args _let_602) (CONG (TRANS _let_965 _let_873 _let_960 (SYMM _let_962) (CONG (TRANS _let_964 (TRANS _let_901 _let_730 _let_886 _let_963 _let_962 _let_961 _let_959 (SYMM _let_904) _let_759 (SYMM _let_905) (SYMM _let_906) _let_763 _let_957 _let_956 _let_699) (SYMM _let_958) _let_916) (TRANS _let_900 _let_899 _let_753 _let_752 _let_898 _let_746 _let_744 _let_897 _let_896 _let_894 _let_879 _let_684 _let_604 _let_223 _let_825 _let_845 _let_673 _let_844 _let_637 _let_772 _let_628 _let_612 _let_627 _let_617 _let_676 _let_625 _let_783 _let_829 _let_955 _let_841 _let_954 _let_853 _let_953) :args _let_141) (CONG (TRANS (SYMM _let_916) _let_958 _let_701) (TRANS _let_863 _let_854 _let_851 _let_842 _let_838 _let_830 _let_781 _let_626 _let_623 _let_618 _let_615 _let_613 _let_610 _let_778 _let_638 _let_826 _let_674 _let_823 _let_820 _let_224 _let_816 _let_815 _let_768 (SYMM _let_749)) :args _let_141) _let_898 _let_746 _let_744 _let_897 _let_896 _let_894 _let_879 _let_684 _let_604 _let_223 _let_825 _let_845 _let_673 _let_844 _let_637 _let_772 _let_628 _let_612 _let_627 _let_617 _let_676 _let_625 _let_783 _let_829 _let_955 _let_841 _let_954 _let_853 _let_953 (SYMM _let_943) (SYMM _let_945) _let_947 (SYMM _let_948) (SYMM _let_950) (SYMM _let_951) (SYMM _let_952) _let_867 _let_140 _let_416 _let_413 _let_606 _let_605 _let_603 _let_493 _let_694 _let_865 _let_864 _let_671) :args _let_602) (CONG (TRANS _let_668 _let_818 _let_817 _let_643 _let_494 _let_175 _let_641 _let_474 _let_640 _let_415 _let_139 (SYMM _let_867) _let_952 _let_951 _let_950 _let_948 (SYMM _let_947) _let_945 _let_943 _let_863 _let_854 _let_851 _let_842 _let_838 _let_830 _let_781 _let_626 _let_623 _let_618 _let_615 _let_613 _let_610 _let_778 _let_638 _let_826 _let_674 _let_823 _let_820 _let_224 _let_816 _let_815 _let_814) :args _let_602)) :args (_let_70 _let_376 _let_45 _let_378 _let_46 _let_48 _let_350 _let_390 _let_64 _let_340 _let_354 _let_380 _let_381 _let_382 _let_384 _let_47 _let_394 _let_424 _let_428 _let_400 _let_430 _let_431 _let_395 _let_433 _let_432 _let_435 _let_388 _let_436 _let_396 _let_386 _let_69 _let_542 _let_536 _let_530 _let_538 _let_520 _let_514 _let_519 _let_65 _let_518 _let_537 _let_540 _let_539 _let_345 _let_464 _let_531 _let_524 _let_523 _let_535 _let_526 _let_517 _let_532 _let_534))) :args (_let_47 _let_48 _let_46 _let_45 _let_354 _let_350 _let_340 _let_345 _let_64 _let_376 _let_65 _let_390 _let_424 _let_464 _let_378 _let_514 _let_380 _let_428 _let_69 _let_70 _let_517 _let_518 _let_519 _let_381 _let_520 _let_523 _let_524 _let_526 _let_530 _let_531 _let_394 _let_532 _let_534 _let_535 _let_536 _let_537 _let_382 _let_430 _let_538 _let_539 _let_540 _let_395 _let_384 _let_396 _let_386 _let_431 _let_542 _let_400 _let_432 _let_433 _let_435 _let_436 _let_388))) :args (true _let_813)) :args ((or _let_107 _let_408 _let_407 _let_341 _let_355 _let_351 _let_347 _let_346 _let_212 _let_471 _let_211 _let_600 _let_599 _let_812 _let_470 _let_598 _let_597 _let_596 _let_208 _let_207 _let_811 _let_595 _let_594 _let_593 _let_592 _let_810 _let_809 _let_808 _let_358 _let_591 _let_807 _let_590 _let_806 _let_805 _let_804 _let_589 _let_588 _let_587 _let_586 _let_585 _let_584 _let_583 _let_803 _let_582 _let_802 _let_801 _let_581 _let_800 _let_580 _let_579 _let_578 _let_799 _let_798 _let_577))) _let_489 _let_797 _let_796 _let_795 _let_794 _let_793 _let_792 _let_791 _let_790 _let_789 _let_788 _let_787 _let_786 _let_785 _let_784 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_334 :args (_let_533 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_333)) :args _let_332)) (REORDERING (CNF_OR_POS :args (_let_548)) :args ((or _let_546 _let_547 (not _let_548)))) (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_770)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_619 _let_771 _let_173 _let_451 _let_448 _let_456 _let_410 _let_414 _let_644 _let_648 _let_611 _let_616 _let_154 _let_653 _let_657 _let_636 _let_223 _let_493 _let_624 _let_672 _let_680 _let_139) (SCOPE (TRANS _let_175 _let_641 _let_474 _let_640 _let_415 _let_169 (CONG (TRANS _let_223 (SYMM _let_782) (CONG _let_669 (TRANS _let_668 _let_683 (CONG _let_677 (TRANS _let_772 _let_628 _let_612) :args _let_141) (CONG _let_677 (TRANS _let_627 _let_617 _let_676 _let_625 _let_783) :args _let_141)) :args _let_141) _let_675 (CONG (TRANS (CONG _let_669 (TRANS _let_776 _let_774 _let_671) :args _let_141) _let_782 _let_224) (TRANS _let_781 _let_626 _let_623 _let_618 _let_615 _let_613 _let_610 _let_778) :args _let_141) _let_639 _let_772) (TRANS _let_416 _let_413 _let_606 _let_605 _let_603 _let_779) :args _let_141) (CONG _let_778 (TRANS _let_777 _let_776 _let_774) :args _let_141) (SYMM _let_771) (CONG (REFL :args (_let_533)) _let_620 :args _let_141)) :args (_let_354 _let_544 _let_70 _let_376 _let_45 _let_378 _let_46 _let_48 _let_380 _let_381 _let_382 _let_384 _let_47 _let_394 _let_424 _let_431 _let_64 _let_340 _let_400 _let_430 _let_428 _let_69))) :args (_let_47 _let_48 _let_46 _let_45 _let_354 _let_340 _let_64 _let_376 _let_424 _let_378 _let_380 _let_428 _let_69 _let_70 _let_381 _let_544 _let_394 _let_382 _let_430 _let_384 _let_431 _let_400))) :args (true _let_770)) :args ((or _let_107 _let_408 _let_407 _let_341 _let_355 _let_347 _let_212 _let_471 _let_599 _let_470 _let_597 _let_596 _let_208 _let_207 _let_593 (not _let_544) _let_545 _let_590 _let_587 _let_586 _let_582 _let_581 _let_580))) _let_133 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_126 :args (_let_352 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_353 QUANTIFIERS_INST_E_MATCHING _let_127)) :args _let_125)) (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_601)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_173 _let_451 _let_448 _let_456 _let_410 _let_414 _let_611 _let_616 _let_619 _let_624 _let_636 _let_223 _let_493 _let_644 _let_648 _let_154 _let_653 _let_657 _let_672 _let_680 _let_687 _let_695 _let_698 _let_704 _let_708 _let_718 _let_720 _let_722 _let_728 _let_741 _let_259 _let_750 _let_755 _let_758 _let_762 _let_765 _let_500) (SCOPE (TRANS _let_502 _let_769 (CONG (TRANS _let_700 _let_697 (CONG (TRANS (TRANS _let_720 (SYMM _let_725) _let_768 _let_766) (TRANS _let_767 _let_748 (SYMM _let_726)) _let_726) _let_496 :args _let_141) _let_764 (CONG _let_732 _let_761 :args _let_141) (CONG _let_716 _let_761 :args _let_141) _let_760 (CONG (TRANS (TRANS (SYMM _let_754) _let_755 (SYMM _let_757)) (TRANS _let_757 _let_756 _let_754 (CONG (TRANS _let_643 _let_740 _let_739 _let_683) _let_608 :args _let_141) _let_753 _let_752 (CONG _let_496 (TRANS _let_749 _let_748 _let_725 _let_721 _let_259) :args _let_141) _let_746 _let_744 (CONG _let_683 _let_453 :args _let_141) (CONG (TRANS _let_682 _let_715 _let_711) _let_453 :args _let_141)) (TRANS (CONG (TRANS _let_740 _let_739 (SYMM _let_685)) _let_453 :args _let_141) _let_687 (SYMM _let_717) (SYMM _let_733) (SYMM _let_735) (SYMM _let_736) _let_738) _let_737 (TRANS _let_736 _let_735 _let_733 _let_717 _let_688 (CONG _let_686 _let_453 :args _let_141) _let_684 _let_604) (TRANS _let_223 (SYMM _let_670) (CONG _let_669 (TRANS _let_668 _let_683 _let_679 _let_678) :args _let_141) _let_675 (CONG (TRANS (CONG _let_669 (TRANS (SYMM _let_662) (SYMM _let_667) _let_671) :args _let_141) _let_670 _let_224) _let_634 :args _let_141) _let_639 _let_630) _let_635) _let_496 :args _let_141) (CONG _let_634 _let_496 :args _let_141)) :args _let_602)) :args (_let_70 _let_376 _let_45 _let_378 _let_46 _let_48 _let_382 _let_384 _let_354 _let_400 _let_431 _let_64 _let_340 _let_380 _let_381 _let_47 _let_394 _let_424 _let_430 _let_428 _let_536 _let_530 _let_538 _let_520 _let_514 _let_432 _let_390 _let_350 _let_433 _let_519 _let_65 _let_518 _let_537 _let_540 _let_539 _let_388 _let_345))) :args (_let_47 _let_48 _let_46 _let_45 _let_354 _let_350 _let_340 _let_345 _let_64 _let_376 _let_65 _let_390 _let_424 _let_378 _let_514 _let_380 _let_428 _let_70 _let_518 _let_519 _let_381 _let_520 _let_530 _let_394 _let_536 _let_537 _let_382 _let_430 _let_538 _let_539 _let_540 _let_384 _let_431 _let_400 _let_432 _let_433 _let_388))) :args (true _let_601)) :args ((or _let_107 _let_408 _let_407 _let_341 _let_355 _let_351 _let_347 _let_346 _let_212 _let_471 _let_211 _let_600 _let_599 _let_470 _let_598 _let_597 _let_596 _let_207 _let_595 _let_594 _let_593 _let_592 _let_543 _let_591 _let_590 _let_589 _let_588 _let_587 _let_586 _let_585 _let_584 _let_583 _let_582 _let_581 _let_580 _let_579 _let_578 _let_577))) _let_177 _let_446 _let_179 _let_576 _let_121 _let_575 _let_445 _let_574 _let_573 _let_572 _let_158 _let_571 _let_570 _let_569 _let_568 _let_567 _let_566 _let_565 _let_564 _let_563 _let_562 _let_561 _let_560 _let_559 _let_558 _let_557 _let_130 _let_556 _let_555 _let_554 _let_553 _let_126 _let_444 _let_443 _let_441 _let_438 _let_437 _let_417 :args ((or _let_107 _let_552 _let_408 _let_407 _let_341 _let_347 _let_346) false _let_55 true _let_551 false _let_49 false _let_388 false _let_436 false _let_435 false _let_433 false _let_432 false _let_400 false _let_542 false _let_431 false _let_386 false _let_396 false _let_384 false _let_395 false _let_540 false _let_539 false _let_538 false _let_430 false _let_382 false _let_537 false _let_536 false _let_535 false _let_534 false _let_532 false _let_394 false _let_531 false _let_530 false _let_526 false _let_524 false _let_523 false _let_520 false _let_381 false _let_519 false _let_518 false _let_517 false _let_70 false _let_69 false _let_428 false _let_380 false _let_514 false _let_378 false _let_464 false _let_424 false _let_390 false _let_65 false _let_376 false _let_64 false _let_549 false _let_388 false _let_433 false _let_432 false _let_400 false _let_542 false _let_431 false _let_384 false _let_540 false _let_539 false _let_538 false _let_430 false _let_382 false _let_537 false _let_536 false _let_394 false _let_530 false _let_520 false _let_381 false _let_519 false _let_518 false _let_70 false _let_69 false _let_428 false _let_380 false _let_514 false _let_378 false _let_464 false _let_424 false _let_390 false _let_65 false _let_376 false _let_64 false _let_358 false _let_464 false _let_517 false _let_523 false _let_524 false _let_526 false _let_531 false _let_532 false _let_534 false _let_535 false _let_395 false _let_396 false _let_386 false _let_542 false _let_435 false _let_436 true _let_105 true _let_548 false _let_545 false _let_69 false _let_544 false _let_543 false _let_64 false _let_376 false _let_65 false _let_390 false _let_120 false _let_424 false _let_378 false _let_514 false _let_380 false _let_428 false _let_70 false _let_518 false _let_519 false _let_381 false _let_520 false _let_530 false _let_394 false _let_536 false _let_537 false _let_382 false _let_430 false _let_538 false _let_539 false _let_540 false _let_384 false _let_431 false _let_129 false _let_400 false _let_432 false _let_433 false _let_388 false _let_42 false _let_354 false _let_350 true _let_356 true _let_106 true _let_343 false _let_338)) _let_444 _let_443 _let_441 _let_438 _let_437 _let_417 :args ((or _let_107 _let_408 _let_407 _let_341 _let_347 _let_346) false _let_388 false _let_436 false _let_435 false _let_433 false _let_432 false _let_400 false _let_542 false _let_431 false _let_386 false _let_396 false _let_384 false _let_395 false _let_540 false _let_539 false _let_538 false _let_430 false _let_382 false _let_537 false _let_536 false _let_535 false _let_534 false _let_532 false _let_394 false _let_531 false _let_530 false _let_529 false _let_526 false _let_524 false _let_523 false _let_520 false _let_381 false _let_519 false _let_518 false _let_517 false _let_70 false _let_69 false _let_428 false _let_380 false _let_514 false _let_378 false _let_464 false _let_424 false _let_390 false _let_65 false _let_376 false _let_64 false _let_49 true _let_95 false _let_354 false _let_350 true _let_356 true _let_106 true _let_343 false _let_338)) _let_511 (RESOLUTION (CNF_AND_NEG :args (_let_447)) (IMPLIES_ELIM (SCOPE _let_458 :args (_let_48 _let_46 _let_45 _let_376 _let_378 _let_70))) :args (true _let_447)) _let_446 _let_121 _let_445 _let_126 _let_158 _let_130 _let_444 _let_443 _let_441 _let_438 _let_437 _let_417 :args ((or _let_408 _let_407 _let_341 _let_347) false _let_364 false _let_366 true _let_49 false _let_82 false _let_388 false _let_436 false _let_435 false _let_433 false _let_432 false _let_400 false _let_431 false _let_396 false _let_384 false _let_395 false _let_430 false _let_382 false _let_394 false _let_70 false _let_69 false _let_428 false _let_380 false _let_378 false _let_424 false _let_390 false _let_376 false _let_64 true _let_421 false _let_423 false _let_368 false _let_105 false _let_348 true _let_345 false _let_47 false _let_418 false _let_376 false _let_120 false _let_378 false _let_42 false _let_70 false _let_129 false _let_354 false _let_350 true _let_356 true _let_106 true _let_343 false _let_338)) _let_417 :args ((or _let_107 _let_408 _let_407 _let_341) false _let_406 false _let_405 false _let_404 false _let_403 false _let_400 false _let_399 false _let_78 false _let_396 false _let_384 false _let_395 false _let_382 false _let_394 false _let_392 false _let_381 false _let_70 false _let_380 false _let_378 false _let_66 false _let_376 false _let_64 false _let_57 true _let_62 true _let_55 true _let_54 false _let_51 false _let_50 true _let_95 false _let_388 false _let_74 false _let_70 false _let_69 false _let_380 false _let_378 false _let_390 false _let_376 false _let_64 true _let_389 false _let_388 false _let_386 false _let_70 false _let_380 false _let_378 false _let_376 true _let_371 true _let_358 false _let_373 false _let_385 false _let_384 false _let_382 false _let_381 false _let_70 false _let_380 false _let_378 false _let_376 false _let_361 false _let_70 false _let_380 false _let_378 false _let_376 false _let_49 false _let_350 false _let_354 false _let_375 false _let_368 false _let_363 true _let_356 false _let_105 true _let_106 false _let_348 true _let_343 true _let_340 false _let_338)) (MACRO_RESOLUTION_TRUST _let_336 _let_331 _let_335 _let_326 _let_327 _let_157 _let_134 _let_128 _let_124 _let_176 _let_161 _let_159 _let_134 _let_128 _let_124 _let_291 _let_193 _let_192 _let_191 _let_190 _let_189 _let_188 _let_187 _let_186 _let_185 _let_184 _let_183 _let_182 _let_181 _let_159 _let_134 _let_128 _let_124 _let_180 _let_178 _let_325 _let_293 _let_193 _let_192 _let_191 _let_190 _let_189 _let_188 _let_187 _let_186 _let_185 _let_184 _let_183 _let_182 _let_292 _let_181 _let_159 _let_134 _let_128 _let_124 _let_180 _let_178 _let_119 _let_118 _let_116 _let_112 _let_108 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_48 _let_51))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_24)) (MACRO_SR_EQ_INTRO :args (_let_24 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_48 _let_50))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_30)) (MACRO_SR_EQ_INTRO :args (_let_30 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_48 _let_49))) :args ((or _let_48 _let_107) true _let_106 true _let_105 true _let_104 true _let_101 false _let_99 false _let_69 false _let_68 false _let_66 false _let_98 false _let_97 false _let_70 false _let_69 false _let_68 false _let_66 false _let_95 false _let_92 false _let_91 false _let_90 false _let_88 false _let_87 false _let_86 false _let_85 false _let_82 false _let_81 false _let_78 false _let_77 false _let_76 false _let_73 false _let_70 false _let_69 false _let_68 false _let_66 false _let_65 false _let_64 false _let_94 false _let_93 false _let_92 false _let_91 false _let_90 false _let_88 false _let_87 false _let_86 false _let_85 false _let_82 false _let_81 false _let_78 false _let_77 false _let_76 false _let_74 false _let_73 false _let_70 false _let_69 false _let_68 false _let_66 false _let_65 false _let_64 false _let_57 false _let_60 true _let_62 true _let_55 true _let_54 false _let_51 false _let_50 false _let_49)) (MACRO_RESOLUTION_TRUST _let_336 _let_335 _let_331 _let_327 _let_326 _let_325 _let_293 _let_193 _let_192 _let_191 _let_190 _let_189 _let_188 _let_187 _let_186 _let_185 _let_184 _let_183 _let_182 _let_292 _let_181 _let_159 _let_134 _let_128 _let_124 _let_180 _let_178 _let_291 _let_193 _let_192 _let_191 _let_190 _let_189 _let_188 _let_187 _let_186 _let_185 _let_184 _let_183 _let_182 _let_181 _let_159 _let_134 _let_128 _let_124 _let_180 _let_178 _let_176 _let_161 _let_159 _let_134 _let_128 _let_124 _let_157 _let_134 _let_128 _let_124 _let_119 _let_118 _let_116 _let_112 _let_108 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_45 _let_51))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_22)) (MACRO_SR_EQ_INTRO :args (_let_22 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_45 _let_50))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_28)) (MACRO_SR_EQ_INTRO :args (_let_28 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_45 _let_49))) :args ((or _let_45 _let_107) true _let_105 true _let_106 true _let_101 true _let_104 false _let_94 false _let_93 false _let_92 false _let_91 false _let_90 false _let_88 false _let_87 false _let_86 false _let_85 false _let_82 false _let_81 false _let_78 false _let_77 false _let_76 false _let_74 false _let_73 false _let_70 false _let_69 false _let_68 false _let_66 false _let_65 false _let_64 false _let_95 false _let_92 false _let_91 false _let_90 false _let_88 false _let_87 false _let_86 false _let_85 false _let_82 false _let_81 false _let_78 false _let_77 false _let_76 false _let_73 false _let_70 false _let_69 false _let_68 false _let_66 false _let_65 false _let_64 false _let_98 false _let_97 false _let_70 false _let_69 false _let_68 false _let_66 false _let_99 false _let_69 false _let_68 false _let_66 false _let_57 false _let_60 true _let_62 true _let_55 true _let_54 false _let_51 false _let_50 false _let_49)) :args (_let_107 true _let_106 true _let_105 true _let_104 true _let_101 false _let_99 false _let_69 false _let_68 false _let_66 false _let_98 false _let_97 false _let_70 false _let_69 false _let_68 false _let_66 false _let_95 false _let_92 false _let_91 false _let_90 false _let_88 false _let_87 false _let_86 false _let_85 false _let_82 false _let_81 false _let_78 false _let_77 false _let_76 false _let_73 false _let_70 false _let_69 false _let_68 false _let_66 false _let_65 false _let_64 false _let_94 false _let_93 false _let_92 false _let_91 false _let_90 false _let_88 false _let_87 false _let_86 false _let_85 false _let_82 false _let_81 false _let_78 false _let_77 false _let_76 false _let_74 false _let_73 false _let_70 false _let_69 false _let_68 false _let_66 false _let_65 false _let_64 false _let_57 false _let_60 true _let_62 true _let_55 true _let_54 false _let_51 false _let_50 false _let_49 true _let_46 false _let_48 false _let_45)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_511 (MACRO_RESOLUTION_TRUST _let_467 _let_1325 :args (_let_48 true _let_47)) _let_1325 (MACRO_RESOLUTION_TRUST _let_466 _let_1325 :args (_let_46 true _let_47)) (MACRO_RESOLUTION_TRUST _let_465 _let_1325 :args (_let_45 true _let_47)) :args (false false _let_48 true _let_47 false _let_46 false _let_45)) :args (_let_44 _let_43 _let_42 _let_41 _let_40 _let_39 _let_38 _let_37 _let_36 _let_33 _let_32 _let_31 _let_30 _let_29 _let_28 _let_25 (or _let_21 _let_16) (or _let_21 _let_14) _let_24 _let_23 _let_22 _let_19 (or _let_5 _let_16) (or _let_5 _let_14) _let_12 _let_9 _let_6 _let_1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.83/1.01 )
% 0.83/1.01 % SZS output end Proof for GRP363-1
% 0.83/1.02 % cvc5---1.0.5 exiting
% 0.83/1.02 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------