TSTP Solution File: GRP334-1 by cvc5---1.0.5

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP334-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n032.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 00:25:40 EDT 2023

% Result   : Unsatisfiable 0.39s 0.68s
% Output   : Proof 0.53s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : GRP334-1 : TPTP v8.1.2. Released v2.5.0.
% 0.03/0.11  % Command    : do_cvc5 %s %d
% 0.12/0.30  % Computer : n032.cluster.edu
% 0.12/0.30  % Model    : x86_64 x86_64
% 0.12/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.30  % Memory   : 8042.1875MB
% 0.12/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.30  % CPULimit   : 300
% 0.12/0.30  % WCLimit    : 300
% 0.12/0.30  % DateTime   : Mon Aug 28 22:27:46 EDT 2023
% 0.12/0.31  % CPUTime    : 
% 0.16/0.40  %----Proving TF0_NAR, FOF, or CNF
% 0.16/0.40  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.7WjDPjNYGt/cvc5---1.0.5_5269.p...
% 0.16/0.40  ------- get file name : TPTP file name is GRP334-1
% 0.16/0.41  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_5269.smt2...
% 0.16/0.41  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.39/0.68  % SZS status Unsatisfiable for GRP334-1
% 0.39/0.68  % SZS output start Proof for GRP334-1
% 0.39/0.71  (
% 0.39/0.71  (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.multiply X3 tptp.sk_c6) tptp.sk_c7)) (not (= (tptp.inverse X3) tptp.sk_c6)) (not (= (tptp.inverse X4) tptp.sk_c6)) (not (= (tptp.multiply X4 tptp.sk_c5) tptp.sk_c6)) (not (= (tptp.inverse tptp.sk_c6) tptp.sk_c5)) (not (= (tptp.inverse tptp.sk_c7) tptp.sk_c5)) (not (= (tptp.multiply tptp.sk_c6 X1) tptp.sk_c5)) (not (= (tptp.multiply X2 tptp.sk_c6) X1)) (not (= (tptp.inverse X2) tptp.sk_c6)))))) (let ((_let_2 (tptp.inverse tptp.sk_c3))) (let ((_let_3 (= _let_2 tptp.sk_c6))) (let ((_let_4 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (let ((_let_5 (= _let_4 tptp.sk_c6))) (let ((_let_6 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (let ((_let_7 (= _let_6 tptp.sk_c4))) (let ((_let_8 (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (let ((_let_9 (= _let_8 tptp.sk_c5))) (let ((_let_10 (tptp.inverse tptp.sk_c7))) (let ((_let_11 (= _let_10 tptp.sk_c5))) (let ((_let_12 (or _let_5 _let_11))) (let ((_let_13 (tptp.inverse tptp.sk_c6))) (let ((_let_14 (= _let_13 tptp.sk_c5))) (let ((_let_15 (or _let_5 _let_14))) (let ((_let_16 (tptp.inverse tptp.sk_c2))) (let ((_let_17 (= _let_16 tptp.sk_c6))) (let ((_let_18 (or _let_17 _let_11))) (let ((_let_19 (or _let_17 _let_14))) (let ((_let_20 (tptp.inverse tptp.sk_c1))) (let ((_let_21 (= _let_20 tptp.sk_c6))) (let ((_let_22 (or _let_21 _let_3))) (let ((_let_23 (or _let_21 _let_7))) (let ((_let_24 (or _let_21 _let_9))) (let ((_let_25 (or _let_21 _let_11))) (let ((_let_26 (or _let_21 _let_14))) (let ((_let_27 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (let ((_let_28 (= _let_27 tptp.sk_c7))) (let ((_let_29 (or _let_28 _let_3))) (let ((_let_30 (or _let_28 _let_7))) (let ((_let_31 (or _let_28 _let_9))) (let ((_let_32 (or _let_28 _let_11))) (let ((_let_33 (or _let_28 _let_14))) (let ((_let_34 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (let ((_let_35 (= _let_34 tptp.sk_c5))) (let ((_let_36 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))) (let ((_let_37 (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity)))) (let ((_let_38 (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)))) (let ((_let_39 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 tptp.sk_c6))) (let ((_let_40 (= tptp.sk_c7 _let_39))) (let ((_let_41 (tptp.inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_42 (= tptp.sk_c6 _let_41))) (let ((_let_43 (not _let_42))) (let ((_let_44 (not _let_40))) (let ((_let_45 (or _let_44 _let_43))) (let ((_let_46 (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))))))) (let ((_let_47 (not _let_45))) (let ((_let_48 (= tptp.sk_c6 (tptp.inverse _let_13)))) (let ((_let_49 (not _let_48))) (let ((_let_50 (tptp.multiply _let_13 tptp.sk_c6))) (let ((_let_51 (= tptp.sk_c7 _let_50))) (let ((_let_52 (not _let_51))) (let ((_let_53 (or _let_52 _let_49))) (let ((_let_54 (= tptp.sk_c6 _let_20))) (let ((_let_55 (not _let_54))) (let ((_let_56 (= tptp.sk_c7 _let_27))) (let ((_let_57 (not _let_56))) (let ((_let_58 (or _let_57 _let_55))) (let ((_let_59 (= tptp.sk_c5 _let_13))) (let ((_let_60 (= tptp.sk_c5 _let_8))) (let ((_let_61 (= tptp.sk_c4 _let_6))) (let ((_let_62 (= tptp.sk_c6 _let_2))) (let ((_let_63 (= tptp.identity (tptp.multiply _let_2 tptp.sk_c3)))) (let ((_let_64 (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c3) tptp.sk_c6) (tptp.multiply tptp.sk_c6 _let_6)))) (let ((_let_65 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (let ((_let_66 (not _let_46))) (let ((_let_67 (_let_46))) (let ((_let_68 ((tptp.multiply X3 tptp.sk_c6)))) (let ((_let_69 (ASSUME :args _let_67))) (let ((_let_70 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (_let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_68)) :args _let_67)))) (let ((_let_71 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (tptp.sk_c1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_68)) :args _let_67)))) (let ((_let_72 (= tptp.sk_c6 _let_16))) (let ((_let_73 (= tptp.sk_c6 _let_4))) (let ((_let_74 (= tptp.sk_c5 _let_10))) (let ((_let_75 (= tptp.sk_c5 _let_34))) (let ((_let_76 (= tptp.identity _let_50))) (let ((_let_77 (= tptp.identity (tptp.multiply _let_10 tptp.sk_c7)))) (let ((_let_78 (tptp.multiply _let_16 tptp.sk_c2))) (let ((_let_79 (= tptp.identity _let_78))) (let ((_let_80 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (let ((_let_81 (tptp.multiply _let_16 _let_80))) (let ((_let_82 (= (tptp.multiply _let_78 tptp.sk_c7) _let_81))) (let ((_let_83 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (let ((_let_84 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_24)) (MACRO_SR_EQ_INTRO :args (_let_24 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_60 _let_54))))) (let ((_let_85 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_23)) (MACRO_SR_EQ_INTRO :args (_let_23 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_61 _let_54))))) (let ((_let_86 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_22)) (MACRO_SR_EQ_INTRO :args (_let_22 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_62 _let_54))))) (let ((_let_87 (SYMM (ASSUME :args (_let_35))))) (let ((_let_88 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))) (let ((_let_89 (EQ_RESOLVE (ASSUME :args (_let_37)) (MACRO_SR_EQ_INTRO :args (_let_37 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_90 (_let_88))) (let ((_let_91 ((tptp.inverse X)))) (let ((_let_92 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args (tptp.sk_c6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_91)) :args _let_90)) _let_89 :args (_let_76 false _let_88)))) (let ((_let_93 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args (tptp.sk_c7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_91)) :args _let_90)) _let_89 :args (_let_77 false _let_88)))) (let ((_let_94 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args (tptp.sk_c3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_91)) :args _let_90)) _let_89 :args (_let_63 false _let_88)))) (let ((_let_95 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args (tptp.sk_c2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_91)) :args _let_90)))) (let ((_let_96 (MACRO_RESOLUTION_TRUST _let_95 _let_89 :args (_let_79 false _let_88)))) (let ((_let_97 (_let_36))) (let ((_let_98 (ASSUME :args _let_97))) (let ((_let_99 ((tptp.multiply X (tptp.multiply Y Z))))) (let ((_let_100 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (tptp.sk_c6 tptp.sk_c3 tptp.sk_c6 QUANTIFIERS_INST_E_MATCHING _let_99)) :args _let_97)) _let_98 :args (_let_64 false _let_36)))) (let ((_let_101 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))) (let ((_let_102 (EQ_RESOLVE (ASSUME :args (_let_38)) (MACRO_SR_EQ_INTRO :args (_let_38 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_103 (_let_101))) (let ((_let_104 ((tptp.multiply tptp.identity X)))) (let ((_let_105 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (tptp.sk_c6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_104)) :args _let_103)))) (let ((_let_106 (MACRO_RESOLUTION_TRUST _let_105 _let_102 :args (_let_65 false _let_101)))) (let ((_let_107 ((tptp.multiply (tptp.multiply X Y) Z)))) (let ((_let_108 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (_let_16 tptp.sk_c2 tptp.sk_c7 QUANTIFIERS_INST_E_MATCHING _let_107)) :args _let_97)))) (let ((_let_109 (MACRO_RESOLUTION_TRUST _let_108 _let_98 :args (_let_82 false _let_36)))) (let ((_let_110 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (tptp.sk_c7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_104)) :args _let_103)))) (let ((_let_111 (MACRO_RESOLUTION_TRUST _let_110 _let_102 :args (_let_83 false _let_101)))) (let ((_let_112 (not _let_83))) (let ((_let_113 (not _let_82))) (let ((_let_114 (not _let_65))) (let ((_let_115 (not _let_64))) (let ((_let_116 (not _let_79))) (let ((_let_117 (not _let_63))) (let ((_let_118 (not _let_77))) (let ((_let_119 (not _let_76))) (let ((_let_120 (not _let_62))) (let ((_let_121 (not _let_61))) (let ((_let_122 (not _let_60))) (let ((_let_123 (not _let_74))) (let ((_let_124 (not _let_75))) (let ((_let_125 (and _let_75 _let_74 _let_60 _let_61 _let_62 _let_76 _let_77 _let_63 _let_79 _let_64 _let_65 _let_82 _let_83))) (let ((_let_126 (ASSUME :args (_let_76)))) (let ((_let_127 (SYMM _let_126))) (let ((_let_128 (SYMM _let_127))) (let ((_let_129 (ASSUME :args (_let_77)))) (let ((_let_130 (SYMM _let_129))) (let ((_let_131 (APPLY_UF tptp.multiply))) (let ((_let_132 (ASSUME :args (_let_83)))) (let ((_let_133 (SYMM _let_132))) (let ((_let_134 (ASSUME :args (_let_79)))) (let ((_let_135 (CONG (SYMM _let_134) (REFL :args (tptp.sk_c7)) :args _let_131))) (let ((_let_136 (ASSUME :args (_let_82)))) (let ((_let_137 (SYMM _let_136))) (let ((_let_138 (TRANS _let_137 _let_135 _let_133))) (let ((_let_139 (ASSUME :args (_let_74)))) (let ((_let_140 (SYMM (SYMM _let_139)))) (let ((_let_141 (ASSUME :args (_let_60)))) (let ((_let_142 (SYMM _let_141))) (let ((_let_143 (ASSUME :args (_let_61)))) (let ((_let_144 (SYMM _let_143))) (let ((_let_145 (REFL :args (tptp.sk_c6)))) (let ((_let_146 (CONG _let_145 _let_144 :args _let_131))) (let ((_let_147 (ASSUME :args (_let_64)))) (let ((_let_148 (SYMM _let_147))) (let ((_let_149 (SYMM _let_148))) (let ((_let_150 (REFL :args (tptp.sk_c3)))) (let ((_let_151 (ASSUME :args (_let_62)))) (let ((_let_152 (SYMM _let_151))) (let ((_let_153 (ASSUME :args (_let_63)))) (let ((_let_154 (SYMM (SYMM _let_153)))) (let ((_let_155 (CONG (TRANS _let_154 (CONG _let_152 _let_150 :args _let_131)) _let_145 :args _let_131))) (let ((_let_156 (ASSUME :args (_let_65)))) (let ((_let_157 (SYMM _let_156))) (let ((_let_158 (SYMM _let_157))) (let ((_let_159 (TRANS _let_152 _let_158 _let_155 _let_149 _let_146 _let_142))) (let ((_let_160 (CONG (TRANS _let_151 _let_159 _let_140) _let_138 :args _let_131))) (let ((_let_161 (SYMM _let_138))) (let ((_let_162 (SYMM _let_87))) (let ((_let_163 (CONG _let_145 _let_138 :args _let_131))) (let ((_let_164 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_125)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_126 _let_129 _let_139 _let_141 _let_143 _let_147 _let_151 _let_153 _let_156 _let_132 _let_134 _let_136 _let_87) (SCOPE (TRANS _let_132 (CONG (TRANS (TRANS _let_129 (SYMM _let_160) _let_163 _let_162) (SYMM _let_159) _let_152) _let_161 :args _let_131) _let_160 _let_130 _let_128) :args (_let_76 _let_77 _let_74 _let_60 _let_61 _let_64 _let_62 _let_63 _let_65 _let_83 _let_79 _let_82 _let_75))) :args (_let_75 _let_74 _let_60 _let_61 _let_62 _let_76 _let_77 _let_63 _let_79 _let_64 _let_65 _let_82 _let_83))) :args (true _let_125)) :args ((or _let_124 _let_123 _let_122 _let_121 _let_120 _let_119 _let_118 _let_117 _let_116 _let_115 _let_51 _let_114 _let_113 _let_112))))) (let ((_let_165 (= tptp.sk_c6 _let_13))) (let ((_let_166 (= tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (let ((_let_167 (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (let ((_let_168 (not _let_166))) (let ((_let_169 (not _let_165))) (let ((_let_170 (or _let_169 _let_168))) (let ((_let_171 (not _let_167))) (let ((_let_172 (or _let_171 _let_169))) (let ((_let_173 (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X4))) (not (= tptp.sk_c6 (tptp.multiply X4 tptp.sk_c5))))))) (let ((_let_174 (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 (tptp.multiply X2 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.inverse X2))))))) (let ((_let_175 (not _let_59))) (let ((_let_176 (and _let_59 _let_60 _let_61 _let_62 _let_63 _let_64 _let_65))) (let ((_let_177 (true _let_176))) (let ((_let_178 (_let_59 _let_60 _let_61 _let_62 _let_63 _let_64 _let_65))) (let ((_let_179 (_let_59 _let_60 _let_61 _let_64 _let_62 _let_63 _let_65))) (let ((_let_180 (ASSUME :args (_let_59)))) (let ((_let_181 (SYMM _let_180))) (let ((_let_182 (SYMM _let_181))) (let ((_let_183 (TRANS _let_158 _let_155 _let_149 _let_146 _let_142 _let_182))) (let ((_let_184 (AND_INTRO _let_180 _let_141 _let_143 _let_147 _let_151 _let_153 _let_156))) (let ((_let_185 (CNF_AND_NEG :args (_let_176)))) (let ((_let_186 (APPLY_UF tptp.inverse))) (let ((_let_187 (REORDERING (RESOLUTION _let_185 (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_184 (SCOPE (TRANS _let_158 _let_155 _let_149 _let_146 _let_142 _let_182 (CONG _let_183 :args _let_186)) :args _let_179)) :args _let_178)) :args _let_177) :args ((or _let_175 _let_122 _let_121 _let_120 _let_117 _let_115 _let_48 _let_114))))) (let ((_let_188 (and _let_75 _let_59 _let_74 _let_60 _let_61 _let_62 _let_76 _let_77 _let_63 _let_79 _let_64 _let_65 _let_82 _let_83))) (let ((_let_189 (true _let_188))) (let ((_let_190 (_let_75 _let_59 _let_74 _let_60 _let_61 _let_62 _let_76 _let_77 _let_63 _let_79 _let_64 _let_65 _let_82 _let_83))) (let ((_let_191 (TRANS _let_141 (SYMM _let_146) _let_148 (SYMM _let_155) _let_157 _let_151))) (let ((_let_192 (CONG _let_145 _let_161 :args _let_131))) (let ((_let_193 (SYMM _let_162))) (let ((_let_194 (CNF_AND_NEG :args (_let_188)))) (let ((_let_195 (SYMM _let_158))) (let ((_let_196 (SYMM _let_152))) (let ((_let_197 (CONG (TRANS (CONG _let_196 _let_150 :args _let_131) (SYMM _let_154)) _let_145 :args _let_131))) (let ((_let_198 (SYMM _let_149))) (let ((_let_199 (CONG _let_145 (SYMM _let_144) :args _let_131))) (let ((_let_200 (SYMM _let_142))) (let ((_let_201 (TRANS _let_200 _let_199 _let_198 _let_197 _let_195))) (let ((_let_202 (TRANS _let_200 _let_199 _let_198 _let_197 _let_195 _let_196))) (let ((_let_203 (CONG (TRANS _let_181 _let_202 _let_152) (SYMM _let_201) :args _let_131))) (let ((_let_204 (CONG (TRANS _let_196 (SYMM _let_202) _let_140) _let_138 :args _let_131))) (let ((_let_205 (REORDERING (CNF_OR_POS :args (_let_170)) :args ((or _let_169 _let_168 (not _let_170)))))) (let ((_let_206 (REORDERING (CNF_OR_POS :args (_let_53)) :args ((or _let_52 _let_49 (not _let_53)))))) (let ((_let_207 (_let_173))) (let ((_let_208 ((tptp.inverse X4)))) (let ((_let_209 (ASSUME :args _let_207))) (let ((_let_210 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_209 :args (tptp.sk_c6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_208)) :args _let_207)))) (let ((_let_211 (_let_174))) (let ((_let_212 ((tptp.multiply X2 tptp.sk_c6)))) (let ((_let_213 (ASSUME :args _let_211))) (let ((_let_214 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_215 (MACRO_RESOLUTION_TRUST _let_214 _let_87 _let_70 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (tptp.sk_c6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_212)) :args _let_211)) _let_210 _let_206 (REORDERING (CNF_OR_POS :args (_let_172)) :args ((or _let_169 _let_171 (not _let_172)))) _let_205 _let_164 _let_111 _let_109 _let_106 _let_100 _let_96 _let_94 _let_93 _let_92 _let_87 (REORDERING (RESOLUTION _let_194 (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_156 _let_153 _let_151 _let_147 _let_143 _let_141 _let_180 _let_126 _let_129 _let_139 _let_132 _let_134 _let_136 _let_87) (SCOPE (TRANS 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_let_155 _let_149 _let_146 _let_142) :args _let_131)) :args (_let_62 _let_65 _let_63 _let_64 _let_61 _let_60 _let_59 _let_76 _let_77 _let_74 _let_83 _let_79 _let_82 _let_75))) :args _let_190)) :args _let_189) :args ((or _let_124 _let_175 _let_123 _let_122 _let_121 _let_120 _let_119 _let_118 _let_117 _let_116 _let_115 _let_114 _let_166 _let_113 _let_112))) _let_111 _let_109 _let_106 _let_100 _let_96 _let_94 _let_93 _let_92 _let_87 _let_187 _let_106 _let_100 _let_94 (REORDERING (RESOLUTION _let_185 (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_184 (SCOPE _let_183 :args _let_179)) :args _let_178)) :args _let_177) :args ((or _let_175 _let_122 _let_121 _let_120 _let_165 _let_117 _let_115 _let_114))) _let_106 _let_100 _let_94 (EQ_RESOLVE (ASSUME :args (_let_29)) (MACRO_SR_EQ_INTRO :args (_let_29 SB_DEFAULT SBA_FIXPOINT))) (EQ_RESOLVE (ASSUME :args (_let_30)) (MACRO_SR_EQ_INTRO :args (_let_30 SB_DEFAULT SBA_FIXPOINT))) (EQ_RESOLVE (ASSUME :args (_let_31)) (MACRO_SR_EQ_INTRO :args (_let_31 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:args ((or _let_57 _let_55 (not _let_58)))))) (let ((_let_217 (or))) (let ((_let_218 (_let_66))) (let ((_let_219 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_218)) :args _let_218)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_66) _let_46))) (REFL :args (_let_47)) :args _let_217)))) (let ((_let_220 (tptp.multiply tptp.sk_c6 _let_39))) (let ((_let_221 (= tptp.sk_c5 _let_220))) (let ((_let_222 (not _let_221))) (let ((_let_223 (or _let_222 _let_43))) (let ((_let_224 (= tptp.identity (tptp.multiply _let_41 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))) (let ((_let_225 (tptp.multiply tptp.sk_c6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_226 (= (tptp.multiply _let_225 tptp.sk_c6) _let_220))) (let ((_let_227 (REFL :args (_let_45)))) (let ((_let_228 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_45 1)) (CONG _let_227 (MACRO_SR_PRED_INTRO :args ((= (not _let_43) _let_42))) :args _let_217)) :args ((or _let_42 _let_45))))) (let ((_let_229 (REORDERING (EQ_RESOLVE (CNF_OR_NEG 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(_let_223)) :args ((or _let_43 _let_222 (not _let_223)))))) (let ((_let_240 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_212)) :args _let_211)))) (let ((_let_241 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_91)) :args _let_90)))) (let ((_let_242 (MACRO_RESOLUTION_TRUST _let_241 _let_89 :args (_let_224 false _let_88)))) (let ((_let_243 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (tptp.sk_c6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 tptp.sk_c6 QUANTIFIERS_INST_E_MATCHING _let_99)) :args _let_97)))) (let ((_let_244 (MACRO_RESOLUTION_TRUST _let_243 _let_98 :args (_let_226 false _let_36)))) (let ((_let_245 (not _let_226))) (let ((_let_246 (not _let_224))) (let ((_let_247 (and _let_75 _let_59 _let_79 _let_65 _let_40 _let_42 _let_224 _let_226 _let_82 _let_83))) (let ((_let_248 (SYMM _let_193))) (let ((_let_249 (CONG _let_145 (TRANS (SYMM 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(IMPLIES_ELIM (SCOPE _let_263 :args (_let_75 _let_59 _let_79 _let_65 _let_40 _let_42 _let_224 _let_226 _let_82 _let_83))) :args (true _let_247)) :args ((or _let_124 _let_175 _let_165 _let_116 _let_114 _let_44 _let_43 _let_246 _let_245 _let_113 _let_112))))) (let ((_let_265 (tptp.inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_266 (= tptp.sk_c6 _let_265))) (let ((_let_267 (not _let_266))) (let ((_let_268 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.sk_c6))) (let ((_let_269 (tptp.multiply tptp.sk_c6 _let_268))) (let ((_let_270 (= tptp.sk_c5 _let_269))) (let ((_let_271 (not _let_270))) (let ((_let_272 (or _let_271 _let_267))) (let ((_let_273 (= tptp.identity (tptp.multiply _let_265 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_274 (tptp.multiply tptp.identity SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_275 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_274))) (let ((_let_276 (tptp.multiply tptp.sk_c6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_277 (tptp.multiply tptp.sk_c1 _let_276))) (let ((_let_278 (= (tptp.multiply _let_27 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_277))) (let ((_let_279 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 (tptp.multiply tptp.identity SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))) (let ((_let_280 (= (tptp.multiply _let_27 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6) (tptp.multiply tptp.sk_c1 _let_225)))) (let ((_let_281 (= tptp.sk_c6 (tptp.multiply _let_268 tptp.sk_c5)))) (let ((_let_282 (not _let_281))) (let ((_let_283 (= tptp.sk_c6 (tptp.inverse _let_268)))) (let ((_let_284 (not _let_283))) (let ((_let_285 (or _let_284 _let_282))) (let ((_let_286 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_287 (tptp.multiply tptp.sk_c6 _let_286))) (let ((_let_288 (= (tptp.multiply _let_225 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6) _let_287))) (let ((_let_289 (tptp.multiply _let_286 tptp.sk_c6))) (let ((_let_290 (tptp.multiply tptp.sk_c6 _let_289))) (let ((_let_291 (= (tptp.multiply _let_287 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((_let_320 (SYMM _let_163))) (let ((_let_321 (TRANS _let_320 (SYMM _let_249) _let_251 (SYMM _let_262) _let_157))) (let ((_let_322 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_323 (CONG _let_322 _let_321 :args _let_131))) (let ((_let_324 (ASSUME :args (_let_275)))) (let ((_let_325 (SYMM _let_324))) (let ((_let_326 (ASSUME :args (_let_51)))) (let ((_let_327 (SYMM _let_326))) (let ((_let_328 (SYMM _let_327))) (let ((_let_329 (ASSUME :args (_let_56)))) (let ((_let_330 (SYMM _let_329))) (let ((_let_331 (TRANS _let_330 _let_328 _let_127))) (let ((_let_332 (CONG _let_331 _let_322 :args _let_131))) (let ((_let_333 (ASSUME :args (_let_278)))) (let ((_let_334 (SYMM _let_333))) (let ((_let_335 (ASSUME :args (_let_266)))) (let ((_let_336 (SYMM _let_335))) (let ((_let_337 (CONG _let_336 _let_322 :args _let_131))) (let ((_let_338 (ASSUME :args (_let_273)))) (let ((_let_339 (SYMM _let_338))) (let ((_let_340 (SYMM _let_339))) (let ((_let_341 (REFL :args (tptp.sk_c1)))) (let ((_let_342 (ASSUME :args (_let_280)))) (let ((_let_343 (SYMM _let_342))) (let ((_let_344 (SYMM _let_343))) (let ((_let_345 (SYMM _let_331))) (let ((_let_346 (CONG _let_345 _let_253 :args _let_131))) (let ((_let_347 (ASSUME :args (_let_279)))) (let ((_let_348 (SYMM _let_347))) (let ((_let_349 (SYMM _let_348))) (let ((_let_350 (CONG (TRANS _let_349 _let_346 _let_344 (CONG _let_341 (TRANS (SYMM _let_257) _let_259 _let_340 _let_337) :args _let_131) _let_334 _let_332 _let_325) (SYMM _let_321) :args _let_131))) (let ((_let_351 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.sk_c5))) (let ((_let_352 (= tptp.sk_c6 _let_351))) (let ((_let_353 (not _let_352))) (let ((_let_354 (tptp.inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_355 (= tptp.sk_c6 _let_354))) (let ((_let_356 (not _let_355))) (let ((_let_357 (or _let_356 _let_353))) (let ((_let_358 (= tptp.identity (tptp.multiply _let_354 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_359 (tptp.multiply 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_let_245 _let_315 _let_314 _let_113 _let_313 _let_112))) _let_215 _let_111 _let_312 _let_109 _let_311 _let_310 _let_244 _let_242 _let_309 _let_106 _let_308 _let_96 _let_92 _let_87 (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_426)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_427 _let_156 _let_258 _let_254 _let_250 _let_231 _let_132 _let_134 _let_136 _let_87 _let_180 _let_326 _let_347 _let_434 _let_436) (SCOPE (FALSE_ELIM (TRANS (CONG _let_431 (TRANS (SYMM _let_437) (CONG (TRANS (SYMM _let_435) _let_433 (SYMM _let_349)) _let_432 :args _let_131) (CONG _let_253 _let_431 :args _let_131) _let_232 _let_328 (CONG (TRANS (SYMM _let_182) _let_431) _let_432 :args _let_131)) :args _let_428) (FALSE_INTRO _let_427))) :args (_let_168 _let_65 _let_224 _let_42 _let_226 _let_40 _let_83 _let_79 _let_82 _let_75 _let_59 _let_51 _let_279 _let_288 _let_291))) :args (_let_75 _let_59 _let_79 _let_65 _let_51 _let_40 _let_42 _let_224 _let_226 _let_168 _let_279 _let_82 _let_288 _let_291 _let_83))) :args (true _let_426)) (CONG _let_389 _let_387 _let_382 _let_380 _let_379 _let_378 _let_377 _let_375 _let_374 (MACRO_SR_PRED_INTRO :args ((= (not _let_168) _let_166))) _let_372 _let_371 (REFL :args (_let_424)) (REFL :args (_let_423)) _let_369 (REFL :args (_let_425)) :args _let_217)) :args ((or _let_124 _let_175 _let_116 _let_52 _let_114 _let_44 _let_43 _let_166 _let_246 _let_245 _let_425 _let_314 _let_113 _let_424 _let_423 _let_112))) _let_111 _let_422 _let_421 _let_109 _let_311 _let_244 _let_242 _let_106 _let_96 _let_87 (REORDERING (CNF_OR_POS :args (_let_285)) :args ((or _let_284 _let_282 (not _let_285)))) _let_205 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_209 :args (_let_268 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.multiply X4 tptp.sk_c5)))) :args _let_207)) _let_210 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_87 _let_180 _let_263 (MODUS_PONENS (AND_INTRO _let_326 _let_126 _let_338 _let_335 _let_156 _let_258 _let_254 _let_250 _let_231 _let_132 _let_134 _let_136 _let_87 _let_347 _let_329 _let_342 _let_333 _let_324 _let_180 _let_413 _let_414 _let_417 _let_418 _let_420) (SCOPE (TRANS _let_158 _let_410 _let_252 _let_409 _let_408 _let_162 _let_182 (CONG _let_412 :args _let_186) (CONG (TRANS _let_181 _let_193 _let_237 _let_234 _let_399 (CONG (TRANS _let_397 (TRANS (SYMM (SYMM _let_420)) (CONG (TRANS (TRANS _let_419 _let_158 _let_410 _let_252 _let_409 _let_408 _let_162) _let_414) _let_416 :args _let_131) (CONG (TRANS _let_415 _let_182) _let_416 :args _let_131))) (TRANS _let_158 _let_410 _let_252 _let_409 _let_408 _let_162 _let_414) :args _let_131) (SYMM (SYMM _let_417)) (CONG (SYMM _let_412) (REFL :args (_let_359)) :args _let_131) (CONG _let_145 (TRANS (CONG _let_416 _let_415 :args _let_131) (SYMM _let_413) _let_158 _let_410 _let_252 _let_409 _let_408 _let_162) :args _let_131) (CONG _let_412 (SYMM _let_411) :args _let_131) _let_327 _let_233 (SYMM _let_406) (SYMM _let_407)) :args _let_186) (CONG (TRANS _let_407 _let_406 _let_232 _let_326 _let_127 _let_338 (SYMM _let_395)) :args _let_186) (CONG (TRANS _let_395 _let_339 _let_128 _let_327) :args _let_186)) :args (_let_51 _let_76 _let_273 _let_266 _let_65 _let_224 _let_42 _let_226 _let_40 _let_83 _let_79 _let_82 _let_75 _let_279 _let_56 _let_280 _let_278 _let_275 _let_59 _let_352 _let_270 _let_361 _let_355 _let_358))) _let_393) :args (_let_75 _let_56 _let_59 _let_123 _let_270 _let_266 _let_355 _let_352 _let_76 _let_79 _let_273 _let_358 _let_65 _let_361 _let_51 _let_40 _let_42 _let_275 _let_224 _let_226 _let_278 _let_279 _let_82 _let_280 _let_83)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_393)) (TRUE_INTRO (TRANS _let_193 (SYMM (TRANS (SYMM (ASSUME :args (_let_390))) (SYMM _let_391) _let_181 _let_193)))))) :args (_let_75 _let_59 _let_165 _let_390 _let_123)) :args ((not (and _let_75 _let_56 _let_59 _let_123 _let_270 _let_266 _let_355 _let_352 _let_76 _let_79 _let_273 _let_358 _let_65 _let_361 _let_51 _let_40 _let_42 _let_275 _let_224 _let_226 _let_278 _let_279 _let_82 _let_280 _let_83)) SB_LITERAL))) (CONG _let_389 _let_388 _let_387 (MACRO_SR_PRED_INTRO :args ((= (not _let_123) _let_74))) _let_385 _let_384 (REFL :args (_let_356)) (REFL :args (_let_353)) _let_383 _let_382 _let_381 (REFL :args (_let_368)) _let_380 (REFL :args (_let_367)) _let_379 _let_378 _let_377 _let_376 _let_375 _let_374 _let_373 _let_372 _let_371 _let_370 _let_369 :args _let_217)) :args ((or _let_74 _let_124 _let_175 _let_57 _let_271 _let_267 _let_356 _let_353 _let_119 _let_116 _let_317 _let_368 _let_52 _let_114 _let_367 _let_44 _let_43 _let_316 _let_246 _let_245 _let_315 _let_314 _let_113 _let_313 _let_112))) _let_215 _let_111 _let_312 _let_109 _let_311 _let_310 _let_244 _let_242 _let_309 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (_let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_269 QUANTIFIERS_INST_E_MATCHING _let_99)) :args _let_97)) _let_98 :args (_let_361 false _let_36)) _let_106 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_91)) :args _let_90)) _let_89 :args (_let_358 false _let_88)) _let_308 _let_96 _let_92 _let_87 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_357 1)) (CONG _let_365 (MACRO_SR_PRED_INTRO :args ((= (not _let_353) _let_352))) :args _let_217)) :args ((or _let_352 _let_357))) _let_366 _let_214 _let_87 _let_364 _let_307 _let_306 _let_304 _let_240 _let_239 _let_228 _let_238 _let_87 _let_95 _let_89 _let_108 _let_98 _let_110 _let_102 _let_229 _let_219 :args ((or _let_175 _let_46 _let_173 _let_52) false _let_56 false _let_83 false _let_280 false _let_82 false _let_279 false _let_278 false _let_226 false _let_224 false _let_275 false _let_361 false _let_65 false _let_358 false _let_273 false _let_79 false _let_76 false _let_75 false _let_352 false _let_355 true _let_74 false _let_75 true _let_357 false _let_270 false _let_266 true _let_272 true _let_174 true _let_223 false _let_42 false _let_221 false _let_75 false _let_79 false _let_88 false _let_82 false _let_36 false _let_83 false _let_101 false _let_40 true _let_45)) (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_318)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_87 _let_132 _let_134 _let_136 _let_231 _let_250 _let_254 _let_258 _let_156 _let_324 _let_126 _let_326 _let_329 _let_333 _let_335 _let_338 _let_342 _let_347) (SCOPE (TRANS _let_158 _let_262 (CONG (TRANS (SYMM _let_261) (TRANS _let_126 _let_327 _let_233 _let_350 _let_323)) _let_145 :args _let_131) (CONG _let_319 (TRANS _let_158 _let_262 _let_252 _let_249 _let_163 _let_248) :args _let_131)) :args (_let_75 _let_83 _let_79 _let_82 _let_40 _let_226 _let_42 _let_224 _let_65 _let_275 _let_76 _let_51 _let_56 _let_278 _let_266 _let_273 _let_280 _let_279))) :args (_let_75 _let_56 _let_266 _let_76 _let_79 _let_273 _let_65 _let_51 _let_40 _let_42 _let_275 _let_224 _let_226 _let_278 _let_279 _let_82 _let_280 _let_83))) :args (true _let_318)) :args ((or _let_124 _let_57 _let_267 _let_119 _let_116 _let_317 _let_52 _let_114 _let_44 _let_43 _let_281 _let_316 _let_246 _let_245 _let_315 _let_314 _let_113 _let_313 _let_112))) _let_215 _let_111 _let_312 _let_109 _let_311 _let_310 _let_244 _let_242 _let_309 _let_106 _let_308 _let_96 _let_92 _let_87 _let_264 _let_105 _let_241 _let_243 _let_307 _let_306 _let_304 _let_240 _let_239 _let_228 _let_238 _let_87 _let_95 _let_89 _let_108 _let_98 _let_110 _let_102 _let_229 _let_219 :args ((or _let_175 _let_46 _let_52) false _let_56 false _let_301 false _let_300 false _let_83 false _let_291 false _let_288 false _let_82 false _let_279 false _let_298 false _let_297 false _let_226 false _let_224 false _let_65 false _let_295 false _let_273 false _let_79 false _let_76 false _let_75 false _let_73 false _let_72 true _let_74 false _let_56 false _let_83 false _let_280 false _let_82 false _let_279 false _let_278 false _let_226 false _let_224 false _let_275 false _let_65 false _let_273 false _let_79 false _let_76 false _let_75 true _let_292 false _let_83 false _let_291 false _let_288 false _let_82 false _let_279 false _let_226 false _let_224 false _let_65 false _let_79 false _let_75 true _let_283 true _let_166 false _let_285 false _let_170 false _let_173 false _let_281 false _let_56 false _let_83 false _let_280 false _let_82 false _let_279 false _let_278 false _let_226 false _let_224 false _let_275 false _let_65 false _let_273 false _let_79 false _let_76 false _let_75 false _let_165 false _let_65 false _let_224 false _let_226 false _let_270 false _let_266 true _let_272 true _let_174 true _let_223 false _let_42 false _let_221 false _let_75 false _let_79 false _let_88 false _let_82 false _let_36 false _let_83 false _let_101 false _let_40 true _let_45)) _let_264 _let_111 _let_109 _let_244 _let_242 _let_106 _let_96 _let_87 _let_240 _let_239 _let_238 _let_87 _let_95 _let_89 _let_108 _let_98 _let_110 _let_102 _let_229 _let_228 _let_219 :args ((or _let_175 _let_46) false _let_83 false _let_82 false _let_226 false _let_224 false _let_65 false _let_79 false _let_77 false _let_76 false _let_75 true _let_166 false _let_170 false _let_173 false _let_75 false _let_74 true _let_51 false _let_165 false _let_83 false _let_82 false _let_226 false _let_224 false _let_65 false _let_79 false _let_75 true _let_174 true _let_223 false _let_221 false _let_75 false _let_79 false _let_88 false _let_82 false _let_36 false _let_83 false _let_101 false _let_40 false _let_42 true _let_45)))) (let ((_let_503 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_59 _let_72))))) (let ((_let_504 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_59 _let_73))))) (let ((_let_505 (= tptp.sk_c6 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 tptp.sk_c5)))) (let ((_let_506 (not _let_505))) (let ((_let_507 (or _let_43 _let_506))) (let ((_let_508 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.sk_c6))) (let ((_let_509 (tptp.multiply _let_508 _let_268))) (let ((_let_510 (= _let_509 _let_359))) (let ((_let_511 (tptp.multiply _let_268 tptp.sk_c7))) (let ((_let_512 (= (tptp.multiply _let_509 tptp.sk_c7) (tptp.multiply _let_508 _let_511)))) (let ((_let_513 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.multiply tptp.identity SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_514 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_515 (= _let_514 (tptp.multiply tptp.identity _let_514)))) (let ((_let_516 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_517 (tptp.multiply tptp.sk_c6 _let_516))) (let ((_let_518 (tptp.multiply _let_276 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_519 (= _let_518 _let_517))) (let ((_let_520 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_514))) (let ((_let_521 (= (tptp.multiply _let_276 _let_514) (tptp.multiply tptp.sk_c6 _let_520)))) (let ((_let_522 (= _let_511 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_34)))) (let ((_let_523 (tptp.multiply _let_351 _let_13))) (let ((_let_524 (tptp.multiply _let_523 _let_359))) (let ((_let_525 (= _let_524 (tptp.multiply _let_351 _let_360)))) (let ((_let_526 (tptp.multiply _let_293 _let_514))) (let ((_let_527 (= _let_526 (tptp.multiply _let_296 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_528 (= _let_289 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_39)))) (let ((_let_529 (= tptp.identity (tptp.multiply (tptp.inverse _let_526) _let_526)))) (let ((_let_530 (= (tptp.multiply (tptp.multiply _let_293 tptp.sk_c6) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6) (tptp.multiply _let_293 _let_225)))) (let ((_let_531 (= (tptp.multiply (tptp.multiply _let_286 _let_286) tptp.sk_c6) (tptp.multiply _let_286 _let_289)))) (let ((_let_532 (= (tptp.multiply _let_524 tptp.sk_c6) (tptp.multiply _let_523 (tptp.multiply _let_359 tptp.sk_c6))))) (let ((_let_533 (tptp.multiply _let_516 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_534 (= (tptp.multiply _let_517 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.multiply tptp.sk_c6 _let_533)))) (let ((_let_535 (= (tptp.multiply (tptp.multiply tptp.sk_c6 _let_276) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.multiply tptp.sk_c6 _let_518)))) (let ((_let_536 (= _let_520 _let_533))) (let ((_let_537 (and _let_75 _let_72 _let_73 _let_79 _let_65 _let_40 _let_42 _let_224 _let_226 _let_82 _let_83 _let_480))) (let ((_let_538 (TRANS _let_158 _let_262 _let_252 _let_249 _let_163 _let_162))) (let ((_let_539 (CONG _let_458 _let_470 :args _let_131))) (let ((_let_540 (TRANS _let_539 (CONG _let_458 _let_538 :args _let_131) _let_457))) (let ((_let_541 (CONG (TRANS _let_540 _let_490) _let_489 :args _let_131))) (let ((_let_542 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (tptp.sk_c6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_107)) :args _let_97)) _let_98 :args (_let_519 false _let_36)))) (let ((_let_543 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.sk_c6 tptp.sk_c7 QUANTIFIERS_INST_E_MATCHING _let_107)) :args _let_97)) _let_98 :args (_let_522 false _let_36)))) (let ((_let_544 (not _let_522))) (let ((_let_545 (not _let_519))) (let ((_let_546 (and _let_75 _let_72 _let_73 _let_270 _let_266 _let_355 _let_76 _let_79 _let_273 _let_510 _let_65 _let_512 _let_40 _let_42 _let_275 _let_513 _let_515 _let_224 _let_519 _let_521 _let_522 _let_226 _let_525 _let_527 _let_528 _let_279 _let_529 _let_82 _let_530 _let_531 _let_83 _let_480 _let_532 _let_534 _let_535 _let_536))) (let ((_let_547 (TRANS _let_433 _let_348))) (let ((_let_548 (CONG _let_256 _let_547 :args _let_131))) (let ((_let_549 (TRANS _let_156 _let_455 _let_250 _let_409 _let_163 _let_162))) (let ((_let_550 (TRANS _let_539 (CONG _let_458 _let_549 :args _let_131) _let_457))) (let ((_let_551 (CONG (TRANS _let_550 _let_490) _let_489 :args _let_131))) (let ((_let_552 (CONG _let_458 _let_161 :args _let_131))) (let ((_let_553 (CONG _let_550 (TRANS _let_552 _let_487 _let_551) :args _let_131))) (let ((_let_554 (SYMM _let_553))) (let ((_let_555 (CONG _let_145 _let_470 :args _let_131))) (let ((_let_556 (TRANS (SYMM _let_539) _let_550))) (let ((_let_557 (REFL :args (_let_293)))) (let ((_let_558 (CONG (TRANS (CONG _let_557 _let_490 :args _let_131) (TRANS (CONG _let_556 _let_470 :args _let_131) (SYMM _let_555)) (TRANS _let_555 (CONG (SYMM _let_550) (TRANS _let_156 _let_455 _let_250 _let_409 _let_554 _let_486 (SYMM _let_552)) :args _let_131) _let_553 _let_234 _let_251 _let_430 _let_157)) (SYMM _let_547) :args _let_131))) (let ((_let_559 (ASSUME :args (_let_530)))) (let ((_let_560 (SYMM _let_556))) (let ((_let_561 (CONG _let_560 (REFL :args (_let_225)) :args _let_131))) (let ((_let_562 (TRANS _let_415 _let_87 _let_320 _let_234 _let_251 _let_430 _let_157))) (let ((_let_563 (ASSUME :args (_let_529)))) (let ((_let_564 (ASSUME :args (_let_527)))) (let ((_let_565 (SYMM _let_564))) (let ((_let_566 (CONG _let_560 _let_322 :args _let_131))) (let ((_let_567 (TRANS _let_340 _let_337 _let_566))) (let ((_let_568 (CONG _let_567 _let_416 :args _let_131))) (let ((_let_569 (ASSUME :args (_let_513)))) (let ((_let_570 (SYMM _let_569))) (let ((_let_571 (SYMM _let_570))) (let ((_let_572 (REFL :args (_let_514)))) (let ((_let_573 (CONG _let_560 _let_572 :args _let_131))) (let ((_let_574 (SYMM _let_549))) (let ((_let_575 (CONG _let_574 _let_572 :args _let_131))) (let ((_let_576 (TRANS _let_571 _let_568 _let_565 (SYMM _let_573) (SYMM _let_575)))) (let ((_let_577 (SYMM _let_551))) (let ((_let_578 (CONG _let_253 (TRANS _let_232 _let_132 _let_235 _let_136 _let_577 _let_553 _let_234 _let_251 _let_430 _let_157) :args _let_131))) (let ((_let_579 (ASSUME :args (_let_528)))) (let ((_let_580 (SYMM (SYMM _let_579)))) (let ((_let_581 (ASSUME :args (_let_531)))) (let ((_let_582 (TRANS (SYMM (SYMM _let_581)) (CONG (REFL :args (_let_286)) (TRANS _let_580 _let_578 _let_232 _let_132 _let_235 _let_136 _let_577 _let_553 _let_234 _let_251 _let_430 _let_157) :args _let_131) _let_580 _let_578 _let_232 _let_132 _let_235 _let_136 _let_577 _let_553 _let_234 _let_251 _let_430 _let_157))) (let ((_let_583 (CONG _let_574 _let_322 :args _let_131))) (let ((_let_584 (TRANS (SYMM _let_583) (TRANS _let_583 _let_566) (SYMM _let_567)))) (let ((_let_585 (TRANS (CONG _let_584 _let_322 :args _let_131) _let_325))) (let ((_let_586 (ASSUME :args (_let_535)))) (let ((_let_587 (SYMM _let_561))) (let ((_let_588 (SYMM _let_558))) (let ((_let_589 (SYMM _let_548))) (let ((_let_590 (ASSUME :args (_let_519)))) (let ((_let_591 (SYMM _let_590))) (let ((_let_592 (ASSUME :args (_let_534)))) (let ((_let_593 (ASSUME :args (_let_536)))) (let ((_let_594 (ASSUME :args (_let_521)))) (let ((_let_595 (ASSUME :args (_let_515)))) (let ((_let_596 (ASSUME :args (_let_522)))) (let ((_let_597 (SYMM (SYMM _let_596)))) (let ((_let_598 (TRANS _let_597 (CONG _let_322 (TRANS _let_320 _let_234 _let_251 _let_430 _let_157) :args _let_131)))) (let ((_let_599 (TRANS (CONG _let_556 (SYMM _let_598) :args _let_131) (CONG _let_549 _let_598 :args _let_131) (CONG _let_574 _let_319 :args _let_131)))) (let ((_let_600 (SYMM _let_562))) (let ((_let_601 (CONG (TRANS _let_576 (TRANS _let_575 (CONG (TRANS _let_600 (SYMM _let_599)) _let_572 :args _let_131) (CONG (TRANS _let_599 _let_562 (SYMM _let_582)) (TRANS (SYMM (SYMM _let_595)) (CONG (SYMM _let_584) _let_572 :args _let_131) (SYMM (SYMM _let_594)) (CONG _let_145 (SYMM (SYMM _let_593)) :args _let_131) (SYMM _let_592) (CONG (TRANS _let_591 _let_585 (TRANS _let_324 (CONG (TRANS _let_258 _let_589 _let_588 _let_559 _let_587 (CONG _let_145 _let_468 :args _let_131)) _let_322 :args _let_131) (SYMM (SYMM _let_586)) (CONG _let_145 _let_585 :args _let_131) _let_441 _let_339)) _let_416 :args _let_131) _let_570) :args 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_let_65 _let_226 _let_40 _let_83 _let_79 _let_82 _let_73 _let_75 _let_72 _let_480 _let_530 _let_529 _let_527 _let_266 _let_273 _let_513 _let_355 _let_528 _let_531 _let_270 _let_522 _let_275 _let_535 _let_519 _let_534 _let_536 _let_521 _let_515 _let_510 _let_525 _let_512 _let_532))) :args (_let_75 _let_72 _let_73 _let_270 _let_266 _let_355 _let_76 _let_79 _let_273 _let_510 _let_65 _let_512 _let_40 _let_42 _let_275 _let_513 _let_515 _let_224 _let_519 _let_521 _let_522 _let_226 _let_525 _let_527 _let_528 _let_279 _let_529 _let_82 _let_530 _let_531 _let_83 _let_480 _let_532 _let_534 _let_535 _let_536))) :args (true _let_546)) :args ((or _let_124 _let_451 _let_450 _let_271 _let_267 _let_356 _let_119 _let_116 _let_317 (not _let_510) _let_51 _let_114 (not _let_512) _let_44 _let_43 _let_316 (not _let_513) (not _let_515) _let_246 _let_545 (not _let_521) _let_544 _let_245 (not _let_525) (not _let_527) (not _let_528) _let_314 (not _let_529) _let_113 (not _let_530) (not _let_531) _let_112 _let_482 (not _let_532) (not _let_534) (not _let_535) (not _let_536)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_98 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_99)) :args _let_97))) _let_98 :args (_let_536 false _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (tptp.sk_c6 _let_276 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_99)) :args _let_97)) _let_98 :args (_let_535 false _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (tptp.sk_c6 _let_516 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_107)) :args _let_97)) _let_98 :args (_let_534 false _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (_let_523 _let_359 tptp.sk_c6 QUANTIFIERS_INST_E_MATCHING _let_107)) :args _let_97)) _let_98 :args (_let_532 false _let_36)) _let_481 _let_111 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (_let_286 _let_286 tptp.sk_c6 QUANTIFIERS_INST_E_MATCHING _let_99)) :args _let_97)) _let_98 :args (_let_531 false _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (_let_293 tptp.sk_c6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING _let_99)) :args _let_97)) _let_98 :args (_let_530 false _let_36)) _let_109 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args (_let_526 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_91)) :args _let_90)) _let_89 :args (_let_529 false _let_88)) _let_311 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 tptp.sk_c6 QUANTIFIERS_INST_E_MATCHING _let_99)) :args _let_97)) _let_98 :args (_let_528 false _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_98 :args (_let_293 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(_let_513 false _let_101)) _let_309 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (_let_508 _let_268 tptp.sk_c7 QUANTIFIERS_INST_E_MATCHING _let_107)) :args _let_97)) _let_98 :args (_let_512 false _let_36)) _let_106 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.sk_c6 _let_268 QUANTIFIERS_INST_E_MATCHING _let_99)) :args _let_97)) _let_98 :args (_let_510 false _let_36)) _let_308 _let_96 _let_92 _let_87 _let_366 _let_364 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_209 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_208)) :args _let_207)) (REORDERING (CNF_OR_POS :args (_let_507)) :args ((or _let_43 _let_506 (not _let_507)))) (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_537)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_87 _let_132 _let_134 _let_136 _let_231 _let_250 _let_254 _let_258 _let_156 _let_469 _let_456 _let_486) (SCOPE (TRANS _let_158 _let_262 _let_252 _let_249 (CONG (SYMM _let_540) (TRANS (SYMM _let_541) _let_488 (CONG _let_458 _let_138 :args _let_131)) :args _let_131) _let_541 _let_137 _let_135 _let_133 _let_233 (CONG _let_253 _let_538 :args _let_131)) :args (_let_75 _let_83 _let_79 _let_82 _let_40 _let_226 _let_42 _let_224 _let_65 _let_72 _let_73 _let_480))) :args (_let_75 _let_72 _let_73 _let_79 _let_65 _let_40 _let_42 _let_224 _let_226 _let_82 _let_83 _let_480))) :args (true _let_537)) :args ((or _let_124 _let_451 _let_450 _let_116 _let_114 _let_44 _let_43 _let_505 _let_246 _let_245 _let_113 _let_112 _let_482))) _let_481 _let_111 _let_109 _let_244 _let_242 _let_106 _let_96 _let_87 _let_306 _let_307 _let_304 _let_240 _let_239 _let_238 _let_111 _let_109 _let_96 _let_87 :args ((or _let_451 _let_450 _let_51 _let_44 _let_43) false _let_536 false _let_535 false _let_534 false _let_532 false _let_480 false _let_83 false _let_531 false _let_530 false _let_82 false _let_529 false _let_279 false _let_528 false _let_527 false _let_525 false _let_226 false _let_522 false _let_521 false _let_519 false _let_224 false _let_515 false _let_513 false _let_275 false _let_512 false _let_65 false _let_510 false _let_273 false _let_79 false _let_76 false _let_75 false _let_355 true _let_357 true _let_173 true _let_507 false _let_505 false _let_480 false _let_83 false _let_82 false _let_226 false _let_224 false _let_65 false _let_79 false _let_75 false _let_266 false _let_270 true _let_272 true _let_174 true _let_223 false _let_221 false _let_83 false _let_82 false _let_79 false _let_75)) _let_504 _let_503 _let_228 _let_229 _let_502 _let_219 _let_71 _let_216 _let_215 (MACRO_RESOLUTION_TRUST _let_164 _let_111 _let_109 _let_106 _let_100 _let_96 _let_94 _let_93 _let_92 _let_87 _let_86 _let_85 _let_84 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_25)) (MACRO_SR_EQ_INTRO :args (_let_25 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_74 _let_54))) :args ((or _let_54 _let_51) false _let_83 false _let_82 false _let_65 false _let_64 false _let_79 false _let_63 false _let_77 false _let_76 false _let_75 false _let_62 false _let_61 false _let_60 false _let_74)) :args (_let_51 false _let_73 false _let_72 false _let_42 false _let_40 true _let_59 true _let_45 true _let_46 true _let_58 false _let_56 false _let_54)))) (let ((_let_613 (MACRO_RESOLUTION_TRUST _let_219 (MACRO_RESOLUTION_TRUST _let_187 _let_106 _let_100 _let_94 _let_86 _let_85 _let_84 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_26)) (MACRO_SR_EQ_INTRO :args (_let_26 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_59 _let_54))) _let_216 _let_215 _let_206 _let_612 _let_71 _let_70 :args (_let_66 false _let_65 false _let_64 false _let_63 false _let_62 false _let_61 false _let_60 false _let_59 true _let_54 false _let_56 true _let_48 false _let_51 false _let_58 false _let_53)) :args (_let_47 true _let_46)))) (let ((_let_614 (tptp.multiply _let_276 tptp.sk_c6))) (let ((_let_615 (= _let_269 _let_614))) (let ((_let_616 (= (tptp.multiply _let_277 tptp.sk_c6) (tptp.multiply tptp.sk_c1 _let_614)))) (let ((_let_617 (= tptp.sk_c7 _let_268))) (let ((_let_618 (not _let_617))) (let ((_let_619 (or _let_618 _let_267))) (let ((_let_620 (= (tptp.multiply _let_268 _let_268) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_269)))) (let ((_let_621 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_276))) (let ((_let_622 (= (tptp.multiply _let_268 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_621))) (let ((_let_623 (tptp.multiply _let_80 tptp.sk_c7))) (let ((_let_624 (= (tptp.multiply _let_81 tptp.sk_c7) (tptp.multiply _let_16 _let_623)))) (let ((_let_625 (= (tptp.multiply (tptp.multiply tptp.sk_c1 _let_16) _let_80) (tptp.multiply tptp.sk_c1 _let_81)))) (let ((_let_626 (= (tptp.multiply (tptp.multiply _let_293 _let_16) _let_80) (tptp.multiply _let_293 _let_81)))) (let ((_let_627 (= (tptp.multiply _let_479 _let_268) (tptp.multiply _let_478 (tptp.multiply _let_80 _let_268))))) (let ((_let_628 (= (tptp.multiply _let_274 _let_276) (tptp.multiply tptp.identity _let_621)))) (let ((_let_629 (= (tptp.multiply (tptp.multiply _let_268 tptp.identity) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.multiply _let_268 _let_274)))) (let ((_let_630 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_98 :args (tptp.sk_c6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.sk_c6 QUANTIFIERS_INST_E_MATCHING _let_99)) :args _let_97))) _let_98 :args (_let_615 false _let_36)))) (let ((_let_631 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (tptp.sk_c1 _let_276 tptp.sk_c6 QUANTIFIERS_INST_E_MATCHING _let_107)) :args _let_97)) _let_98 :args (_let_616 false _let_36)))) (let ((_let_632 (not _let_616))) (let ((_let_633 (not _let_615))) (let ((_let_634 (and _let_75 _let_56 _let_270 _let_76 _let_79 _let_615 _let_65 _let_51 _let_40 _let_42 _let_275 _let_224 _let_226 _let_278 _let_82 _let_83 _let_300 _let_616))) (let ((_let_635 (ASSUME :args (_let_616)))) (let ((_let_636 (SYMM _let_635))) (let ((_let_637 (SYMM _let_636))) (let ((_let_638 (ASSUME :args (_let_615)))) (let ((_let_639 (SYMM _let_638))) (let ((_let_640 (CONG _let_145 (TRANS _let_232 _let_329) :args _let_131))) (let ((_let_641 (CONG (TRANS _let_161 _let_464 _let_331) _let_145 :args _let_131))) (let ((_let_642 (not _let_629))) (let ((_let_643 (not _let_628))) (let ((_let_644 (not _let_627))) (let ((_let_645 (not _let_626))) (let ((_let_646 (not _let_625))) (let ((_let_647 (not _let_624))) (let ((_let_648 (not _let_622))) (let ((_let_649 (not _let_620))) (let ((_let_650 (= tptp.sk_c6 (tptp.inverse _let_293)))) (let ((_let_651 (not _let_650))) (let ((_let_652 (TRANS _let_236 _let_464 _let_331))) (let ((_let_653 (CONG _let_652 _let_145 :args _let_131))) (let ((_let_654 (SYMM _let_653))) (let ((_let_655 (CONG _let_397 (TRANS _let_156 _let_654) :args _let_131))) (let ((_let_656 (CONG _let_145 (TRANS _let_330 _let_233) :args _let_131))) (let ((_let_657 (CONG _let_145 _let_464 :args _let_131))) (let ((_let_658 (TRANS _let_193 _let_237 _let_657 _let_656 _let_399 _let_655 _let_476 _let_653 _let_157))) (let ((_let_659 (CONG _let_458 _let_658 :args _let_131))) (let ((_let_660 (SYMM _let_652))) (let ((_let_661 (CONG (REFL :args (tptp.identity)) _let_660 :args _let_131))) (let ((_let_662 (TRANS _let_464 _let_331))) (let ((_let_663 (CONG _let_662 _let_652 :args _let_131))) (let ((_let_664 (ASSUME :args (_let_624)))) (let ((_let_665 (CONG _let_662 _let_473 :args _let_131))) (let ((_let_666 (TRANS _let_472 _let_665 _let_476 _let_653 _let_157 _let_490))) (let ((_let_667 (SYMM _let_665))) (let ((_let_668 (TRANS _let_193 _let_237 _let_657 _let_656 _let_399 _let_655 _let_667 _let_471))) (let ((_let_669 (CONG (TRANS _let_668 _let_666) (REFL :args (_let_623)) :args _let_131))) (let ((_let_670 (CONG _let_341 (TRANS _let_639 _let_415 _let_193 _let_237 _let_657 _let_656 _let_399 _let_655 _let_476 _let_653 _let_157) :args _let_131))) (let ((_let_671 (CONG _let_345 _let_322 :args _let_131))) (let ((_let_672 (CONG (TRANS _let_405 _let_671 _let_403) _let_145 :args _let_131))) (let ((_let_673 (TRANS _let_488 _let_485))) (let ((_let_674 (CONG _let_673 (TRANS _let_672 _let_637 _let_670 _let_330) :args _let_131))) (let ((_let_675 (TRANS _let_415 _let_193 _let_237 _let_657 _let_656 _let_399 _let_655 _let_476 _let_653 _let_157))) (let ((_let_676 (CONG _let_458 _let_675 :args _let_131))) (let ((_let_677 (CONG _let_557 (TRANS _let_126 _let_327 _let_329 (SYMM _let_670) _let_636 (SYMM _let_672)) :args _let_131))) (let ((_let_678 (CONG _let_557 _let_662 :args _let_131))) (let ((_let_679 (ASSUME :args (_let_626)))) (let ((_let_680 (SYMM _let_679))) (let ((_let_681 (TRANS (SYMM _let_680) _let_678 _let_677 _let_462 _let_676 (SYMM _let_659) _let_457 _let_156 _let_654 _let_475 _let_667 _let_471))) (let ((_let_682 (TRANS _let_539 (SYMM _let_676) _let_461 (SYMM _let_677) (SYMM _let_678) _let_680))) (let ((_let_683 (ASSUME :args (_let_627)))) (let ((_let_684 (ASSUME :args (_let_620)))) (let ((_let_685 (TRANS (SYMM (SYMM _let_684)) (CONG _let_322 _let_675 :args _let_131) _let_672 _let_637 _let_670 _let_330 _let_328 _let_127))) (let ((_let_686 (ASSUME :args (_let_625)))) (let ((_let_687 (CONG (TRANS (CONG _let_319 _let_660 :args _let_131) _let_597 (CONG _let_322 (TRANS _let_237 _let_657 _let_656 _let_399 _let_655 _let_476 _let_653 _let_157) :args _let_131) _let_672 _let_637 _let_670 _let_330 _let_328 _let_127) _let_322 :args _let_131))) (let ((_let_688 (ASSUME :args (_let_629)))) (let ((_let_689 (SYMM _let_688))) (let ((_let_690 (CONG _let_319 _let_405 :args _let_131))) (let ((_let_691 (ASSUME :args (_let_622)))) (let ((_let_692 (SYMM _let_691))) (let ((_let_693 (TRANS _let_692 _let_690 _let_689 _let_687))) (let ((_let_694 (SYMM _let_690))) (let ((_let_695 (SYMM _let_687))) (let ((_let_696 (TRANS (CONG (SYMM _let_658) _let_322 :args _let_131) (CONG _let_658 (TRANS _let_405 _let_695 _let_688 _let_694 _let_691) :args _let_131) (CONG _let_394 _let_693 :args _let_131) (CONG (REFL :args (_let_265)) _let_325 :args _let_131) _let_339))) (let ((_let_697 (CONG _let_341 _let_696 :args _let_131))) (let ((_let_698 (REFL :args (_let_276)))) (let ((_let_699 (CONG _let_325 _let_698 :args _let_131))) (let ((_let_700 (ASSUME :args (_let_628)))) (let ((_let_701 (CONG _let_696 (SYMM _let_693) :args _let_131))) (let ((_let_702 (CONG _let_698 _let_405 :args _let_131))) (let ((_let_703 (ASSUME :args _let_386))) (let ((_let_704 (TRANS _let_330 _let_132 _let_235 _let_136))) (let ((_let_705 (CONG (TRANS _let_161 (SYMM _let_704) _let_331) _let_145 :args _let_131))) (let ((_let_706 (TRANS _let_156 (SYMM _let_705) _let_475 (CONG _let_499 (TRANS _let_705 _let_157) :args _let_131) _let_252 _let_640 (CONG _let_145 _let_704 :args _let_131) _let_163 _let_162))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO (MODUS_PONENS (AND_INTRO _let_326 _let_475 _let_136 _let_456 _let_134 _let_329 _let_703 _let_231 _let_126 _let_258 _let_156 _let_87 _let_254 _let_250 _let_132) (SCOPE (FALSE_ELIM (TRANS (CONG _let_706 (CONG (TRANS (CONG _let_458 _let_706 :args _let_131) _let_457) :args _let_186) :args _let_428) (FALSE_INTRO _let_703))) :args (_let_51 _let_300 _let_82 _let_73 _let_79 _let_56 _let_175 _let_40 _let_76 _let_224 _let_65 _let_75 _let_42 _let_226 _let_83))) (MODUS_PONENS (AND_INTRO _let_688 _let_635 _let_326 _let_700 _let_679 _let_254 _let_469 _let_335 _let_231 _let_596 _let_338 _let_414 _let_638 _let_333 _let_683 _let_456 _let_329 _let_156 _let_324 _let_126 _let_258 _let_486 _let_590 _let_691 _let_87 _let_664 _let_471 _let_460 _let_347 _let_342 _let_250 _let_136 _let_132 _let_684 _let_475 _let_134 _let_686) (SCOPE (TRANS _let_256 (CONG (TRANS _let_349 _let_346 _let_344 (CONG _let_341 _let_397 :args _let_131) (SYMM _let_697) _let_334 (SYMM _let_671) _let_695 _let_688 _let_694 _let_691 (SYMM _let_699) _let_700 (SYMM _let_701) (SYMM _let_702) _let_590) :args _let_186) (CONG (TRANS _let_591 _let_702 _let_701 (SYMM _let_700) _let_699 _let_692 _let_690 _let_689 _let_687 _let_671 _let_403 _let_697 (CONG _let_341 (SYMM _let_662) :args _let_131) (SYMM _let_686) (CONG (TRANS (TRANS (CONG _let_341 _let_470 :args _let_131) _let_330 _let_328 _let_127) (SYMM _let_685)) _let_489 :args _let_131) (CONG _let_685 (TRANS _let_496 _let_487 (CONG (TRANS _let_682 _let_681) _let_489 :args _let_131) (CONG _let_666 _let_489 :args _let_131) _let_137 _let_135 _let_133 _let_328 _let_127) :args _let_131) _let_661 _let_133 _let_328 _let_127) :args _let_186) (CONG (TRANS _let_126 _let_327 _let_132 (SYMM _let_661) (SYMM _let_663) _let_664 (SYMM _let_669) (CONG _let_658 (TRANS (SYMM _let_674) (SYMM (SYMM _let_683)) (CONG (TRANS _let_682 _let_681 (SYMM _let_668)) (TRANS (CONG (SYMM _let_673) _let_319 :args _let_131) _let_674) :args _let_131) _let_669 (SYMM _let_664) _let_663 _let_661 _let_133 _let_329) :args _let_131) _let_656 _let_399 _let_655 _let_476 _let_653 _let_157 _let_493 _let_659) :args _let_186)) :args (_let_629 _let_616 _let_51 _let_628 _let_626 _let_42 _let_72 _let_266 _let_40 _let_522 _let_273 _let_270 _let_615 _let_278 _let_627 _let_73 _let_56 _let_65 _let_275 _let_76 _let_224 _let_480 _let_519 _let_622 _let_75 _let_624 _let_301 _let_295 _let_279 _let_280 _let_226 _let_82 _let_83 _let_620 _let_300 _let_79 _let_625)))) :args (_let_75 _let_56 _let_72 _let_73 _let_175 _let_270 _let_266 _let_76 _let_79 _let_273 _let_295 _let_615 _let_65 _let_51 _let_40 _let_42 _let_275 _let_224 _let_519 _let_620 _let_522 _let_226 _let_278 _let_622 _let_279 _let_82 _let_280 _let_83 _let_300 _let_624 _let_301 _let_625 _let_480 _let_626 _let_616 _let_627 _let_628 _let_629)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args (_let_651)))) (TRUE_INTRO (ASSUME :args (_let_650))))) :args (_let_651 _let_650)) :args ((not (and _let_75 _let_56 _let_72 _let_73 _let_175 _let_270 _let_266 _let_76 _let_79 _let_273 _let_295 _let_615 _let_65 _let_51 _let_40 _let_42 _let_275 _let_224 _let_519 _let_620 _let_522 _let_226 _let_278 _let_622 _let_279 _let_82 _let_280 _let_83 _let_300 _let_624 _let_301 _let_625 _let_480 _let_626 _let_616 _let_627 _let_628 _let_629)) SB_LITERAL))) (CONG _let_389 _let_388 (REFL :args (_let_451)) (REFL :args (_let_450)) (MACRO_SR_PRED_INTRO :args ((= (not _let_175) _let_59))) _let_385 _let_384 _let_383 _let_382 _let_381 (REFL :args (_let_449)) (REFL :args (_let_633)) _let_380 _let_379 _let_378 _let_377 _let_376 _let_375 (REFL :args (_let_545)) (REFL :args (_let_649)) (REFL :args (_let_544)) _let_374 _let_373 (REFL :args (_let_648)) _let_372 _let_371 _let_370 _let_369 (REFL :args (_let_448)) (REFL :args (_let_647)) (REFL :args (_let_447)) (REFL :args (_let_646)) (REFL :args (_let_482)) (REFL :args (_let_645)) (REFL :args (_let_632)) (REFL :args (_let_644)) (REFL :args (_let_643)) (REFL :args (_let_642)) :args _let_217)) :args ((or _let_59 _let_124 _let_57 _let_451 _let_450 _let_271 _let_267 _let_119 _let_116 _let_317 _let_449 _let_633 _let_52 _let_114 _let_44 _let_43 _let_316 _let_246 _let_545 _let_649 _let_544 _let_245 _let_315 _let_648 _let_314 _let_113 _let_313 _let_112 _let_448 _let_647 _let_447 _let_646 _let_482 _let_645 _let_632 _let_644 _let_643 _let_642))) _let_612 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (_let_268 tptp.identity SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_99)) :args _let_97)) _let_98 :args (_let_629 false _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (tptp.identity SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_276 QUANTIFIERS_INST_E_MATCHING _let_107)) :args _let_97)) _let_98 :args (_let_628 false _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (_let_478 _let_80 _let_268 QUANTIFIERS_INST_E_MATCHING _let_107)) :args _let_97)) _let_98 :args (_let_627 false _let_36)) _let_631 _let_215 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (_let_293 _let_16 _let_80 QUANTIFIERS_INST_E_MATCHING _let_99)) :args _let_97)) _let_98 :args (_let_626 false _let_36)) _let_481 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (tptp.sk_c1 _let_16 _let_80 QUANTIFIERS_INST_E_MATCHING _let_99)) :args _let_97)) _let_98 :args (_let_625 false _let_36)) _let_446 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (_let_16 _let_80 tptp.sk_c7 QUANTIFIERS_INST_E_MATCHING _let_107)) :args _let_97)) _let_98 :args (_let_624 false _let_36)) _let_445 _let_111 _let_312 _let_109 _let_311 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.sk_c6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_99)) :args _let_97)) _let_98 :args (_let_622 false _let_36)) _let_310 _let_244 _let_543 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.sk_c6 _let_268 QUANTIFIERS_INST_E_MATCHING _let_107)) :args _let_97)) _let_98 :args (_let_620 false _let_36)) _let_542 _let_242 _let_309 _let_106 _let_630 _let_444 _let_308 _let_96 _let_92 _let_87 _let_504 _let_503 _let_502 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_68)) :args _let_67)) (REORDERING (CNF_OR_POS :args (_let_619)) :args ((or _let_267 _let_618 (not _let_619)))) (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_634)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_326 _let_475 _let_132 _let_635 _let_136 _let_329 _let_414 _let_126 _let_258 _let_638 _let_156 _let_231 _let_87 _let_254 _let_324 _let_250 _let_134 _let_333) (SCOPE (TRANS _let_329 (CONG _let_341 (TRANS _let_156 (SYMM _let_641) _let_475 (CONG _let_499 (TRANS _let_641 _let_157) :args _let_131) _let_252 _let_640 (CONG _let_145 _let_474 :args _let_131) _let_163 _let_162 (SYMM _let_415) (SYMM _let_639)) :args _let_131) (SYMM _let_637) (CONG (TRANS (SYMM _let_403) _let_332 (SYMM _let_405)) _let_145 :args _let_131)) :args (_let_51 _let_300 _let_83 _let_616 _let_82 _let_56 _let_270 _let_76 _let_224 _let_615 _let_65 _let_40 _let_75 _let_42 _let_275 _let_226 _let_79 _let_278))) :args (_let_75 _let_56 _let_270 _let_76 _let_79 _let_615 _let_65 _let_51 _let_40 _let_42 _let_275 _let_224 _let_226 _let_278 _let_82 _let_83 _let_300 _let_616))) :args (true _let_634)) :args ((or _let_124 _let_57 _let_271 _let_617 _let_119 _let_116 _let_633 _let_52 _let_114 _let_44 _let_43 _let_316 _let_246 _let_245 _let_315 _let_113 _let_112 _let_448 _let_632))) _let_612 _let_631 _let_215 _let_445 _let_111 _let_109 _let_310 _let_244 _let_242 _let_309 _let_106 _let_630 _let_96 _let_92 _let_87 _let_306 _let_307 _let_304 _let_240 _let_239 _let_238 _let_111 _let_109 _let_96 _let_87 :args (_let_45 false _let_51 false _let_629 false _let_628 false _let_627 false _let_616 false _let_56 false _let_626 false _let_480 false _let_625 false _let_301 false _let_624 false _let_300 false _let_83 false _let_280 false _let_82 false _let_279 false _let_622 false _let_278 false _let_226 false _let_522 false _let_620 false _let_519 false _let_224 false _let_275 false _let_65 false _let_615 false _let_295 false _let_273 false _let_79 false _let_76 false _let_75 false _let_73 false _let_72 true _let_59 true _let_46 true _let_619 false _let_617 false _let_51 false _let_616 false _let_56 false _let_300 false _let_83 false _let_82 false _let_278 false _let_226 false _let_224 false _let_275 false _let_65 false _let_615 false _let_79 false _let_76 false _let_75 false _let_266 false _let_270 true _let_272 true _let_174 true _let_223 false _let_221 false _let_83 false _let_82 false _let_79 false _let_75)) (MACRO_RESOLUTION_TRUST _let_228 _let_613 :args (_let_42 true _let_45)) (MACRO_RESOLUTION_TRUST _let_229 _let_613 :args (_let_40 true _let_45)) :args (false false _let_42 false _let_40)) :args (_let_38 _let_37 _let_36 _let_35 _let_33 _let_32 _let_31 _let_30 _let_29 _let_26 _let_25 _let_24 _let_23 _let_22 _let_19 _let_18 (or _let_17 _let_9) (or _let_17 _let_7) (or _let_17 _let_3) _let_15 _let_12 (or _let_5 _let_9) (or _let_5 _let_7) (or _let_5 _let_3) _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.39/0.71  )
% 0.53/0.71  % SZS output end Proof for GRP334-1
% 0.53/0.71  % cvc5---1.0.5 exiting
% 0.53/0.71  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------