TSTP Solution File: GEO169+2 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GEO169+2 : TPTP v8.1.2. Released v3.3.0.
% 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 : Wed Aug 30 22:50:03 EDT 2023
% Result : Theorem 3.07s 3.28s
% Output : Proof 3.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13 % Problem : GEO169+2 : TPTP v8.1.2. Released v3.3.0.
% 0.10/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n017.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 18:35:13 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 3.07/3.28 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.NltiauE5bc/cvc5---1.0.5_16814.p...
% 3.07/3.28 ------- get file name : TPTP file name is GEO169+2
% 3.07/3.28 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_16814.smt2...
% 3.07/3.28 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 3.07/3.28 % SZS status Theorem for GEO169+2
% 3.07/3.28 % SZS output start Proof for GEO169+2
% 3.07/3.28 (
% 3.07/3.28 (let ((_let_1 (not tptp.goal))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.point A) (tptp.point B)) (exists ((C $$unsorted)) (and (tptp.incident A C) (tptp.incident B C))))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.incident A C) (tptp.incident A D) (tptp.incident B C) (tptp.incident B D)) (or (= A B) (= C D)))))) (let ((_let_4 (=> (= tptp.a3a1 tptp.b3b1) tptp.goal))) (let ((_let_5 (=> (= tptp.a2a3 tptp.b2b3) tptp.goal))) (let ((_let_6 (=> (= tptp.a1a2 tptp.b1b2) tptp.goal))) (let ((_let_7 (=> (= tptp.b3 tptp.b1) tptp.goal))) (let ((_let_8 (= tptp.b2 tptp.b3))) (let ((_let_9 (=> _let_8 tptp.goal))) (let ((_let_10 (= tptp.b1 tptp.b2))) (let ((_let_11 (=> _let_10 tptp.goal))) (let ((_let_12 (=> (= tptp.a3 tptp.a1) tptp.goal))) (let ((_let_13 (= tptp.a2 tptp.a3))) (let ((_let_14 (=> _let_13 tptp.goal))) (let ((_let_15 (= tptp.a1 tptp.a2))) (let ((_let_16 (=> _let_15 tptp.goal))) (let ((_let_17 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.incident A B) (tptp.point A))))) (let ((_let_18 (tptp.incident tptp.p2 tptp.b3b1))) (let ((_let_19 (tptp.incident tptp.p2 tptp.a3a1))) (let ((_let_20 (tptp.incident tptp.p1 tptp.b2b3))) (let ((_let_21 (tptp.incident tptp.p1 tptp.a2a3))) (let ((_let_22 (tptp.incident tptp.p3 tptp.b1b2))) (let ((_let_23 (tptp.incident tptp.p3 tptp.a1a2))) (let ((_let_24 (tptp.incident tptp.b3 tptp.s3))) (let ((_let_25 (tptp.incident tptp.b2 tptp.s2))) (let ((_let_26 (tptp.incident tptp.b1 tptp.s1))) (let ((_let_27 (tptp.incident tptp.a3 tptp.s3))) (let ((_let_28 (tptp.incident tptp.a2 tptp.s2))) (let ((_let_29 (tptp.incident tptp.a1 tptp.s1))) (let ((_let_30 (tptp.incident tptp.s tptp.s3))) (let ((_let_31 (tptp.incident tptp.s tptp.s2))) (let ((_let_32 (tptp.incident tptp.s tptp.s1))) (let ((_let_33 (tptp.incident tptp.b1 tptp.b3b1))) (let ((_let_34 (tptp.incident tptp.b3 tptp.b3b1))) (let ((_let_35 (tptp.incident tptp.b3 tptp.b2b3))) (let ((_let_36 (tptp.incident tptp.b2 tptp.b2b3))) (let ((_let_37 (tptp.incident tptp.b2 tptp.b1b2))) (let ((_let_38 (tptp.incident tptp.b1 tptp.b1b2))) (let ((_let_39 (tptp.incident tptp.a1 tptp.a3a1))) (let ((_let_40 (tptp.incident tptp.a3 tptp.a3a1))) (let ((_let_41 (tptp.incident tptp.a3 tptp.a2a3))) (let ((_let_42 (tptp.incident tptp.a2 tptp.a2a3))) (let ((_let_43 (tptp.incident tptp.a2 tptp.a1a2))) (let ((_let_44 (tptp.incident tptp.a1 tptp.a1a2))) (let ((_let_45 (tptp.incident tptp.b2 tptp.a3a1))) (let ((_let_46 (tptp.incident tptp.a3 tptp.b1b2))) (let ((_let_47 (or _let_46 _let_45))) (let ((_let_48 (tptp.incident tptp.b1 tptp.a2a3))) (let ((_let_49 (tptp.incident tptp.a2 tptp.b3b1))) (let ((_let_50 (or _let_49 _let_48))) (let ((_let_51 (tptp.incident tptp.b3 tptp.a1a2))) (let ((_let_52 (tptp.incident tptp.a1 tptp.b2b3))) (let ((_let_53 (or _let_52 _let_51))) (let ((_let_54 (and _let_48 _let_45 _let_51))) (let ((_let_55 (=> _let_54 tptp.goal))) (let ((_let_56 (and _let_52 _let_49 _let_46))) (let ((_let_57 (=> _let_56 tptp.goal))) (let ((_let_58 (forall ((A $$unsorted)) (=> (and (tptp.incident tptp.p3 A) (tptp.incident tptp.p1 A) (tptp.incident tptp.p2 A)) tptp.goal)))) (let ((_let_59 (= tptp.a1 tptp.a3))) (let ((_let_60 (= tptp.a3a1 tptp.s1))) (let ((_let_61 (not _let_29))) (let ((_let_62 (not _let_39))) (let ((_let_63 (tptp.incident tptp.a3 tptp.s1))) (let ((_let_64 (not _let_63))) (let ((_let_65 (not _let_40))) (let ((_let_66 (or _let_65 _let_64 _let_62 _let_61 _let_59 _let_60))) (let ((_let_67 (ASSUME :args (_let_40)))) (let ((_let_68 (ASSUME :args (_let_39)))) (let ((_let_69 (ASSUME :args (_let_29)))) (let ((_let_70 (not _let_59))) (let ((_let_71 (ASSUME :args (_let_1)))) (let ((_let_72 (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT)))) :args ((or tptp.goal _let_70))) _let_71 :args (_let_70 true tptp.goal)))) (let ((_let_73 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.incident A C)) (not (tptp.incident A D)) (not (tptp.incident B C)) (not (tptp.incident B D)) (= A B) (= C D))))) (let ((_let_74 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_75 (_let_73))) (let ((_let_76 ((not (= (tptp.incident A C) false)) (not (= (tptp.incident B D) false))))) (let ((_let_77 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_74 :args (tptp.a3 tptp.a1 tptp.a3a1 tptp.s1 QUANTIFIERS_INST_E_MATCHING _let_76)) :args _let_75))) _let_74 :args (_let_66 false _let_73)))) (let ((_let_78 (= tptp.b3b1 tptp.s1))) (let ((_let_79 (= tptp.b3b1 tptp.a3a1))) (let ((_let_80 (not _let_60))) (let ((_let_81 (= tptp.b1 tptp.s))) (let ((_let_82 (tptp.incident tptp.s tptp.b3b1))) (let ((_let_83 (not _let_82))) (let ((_let_84 (not _let_32))) (let ((_let_85 (not _let_33))) (let ((_let_86 (not _let_26))) (let ((_let_87 (or _let_86 _let_85 _let_84 _let_83 _let_81 _let_78))) (let ((_let_88 ((not (= (tptp.incident A D) false)) (not (= (tptp.incident B C) false))))) (let ((_let_89 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_74 :args (tptp.b1 tptp.s tptp.s1 tptp.b3b1 QUANTIFIERS_INST_E_MATCHING _let_88)) :args _let_75))) _let_74 :args (_let_87 false _let_73)))) (let ((_let_90 (tptp.incident tptp.b1 tptp.s2))) (let ((_let_91 (= tptp.b1b2 tptp.s2))) (let ((_let_92 (not _let_37))) (let ((_let_93 (not _let_25))) (let ((_let_94 (not _let_38))) (let ((_let_95 (not _let_90))) (let ((_let_96 (or _let_95 _let_94 _let_93 _let_92 _let_10 _let_91))) (let ((_let_97 (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_74 :args (tptp.b1 tptp.b2 tptp.s2 tptp.b1b2 QUANTIFIERS_INST_E_MATCHING _let_88)) :args _let_75))))) (let ((_let_98 (MACRO_RESOLUTION_TRUST _let_97 _let_74 :args (_let_96 false _let_73)))) (let ((_let_99 (= tptp.b1b2 tptp.a1a2))) (let ((_let_100 (= tptp.a1a2 tptp.s2))) (let ((_let_101 (tptp.incident tptp.a2 tptp.b1b2))) (let ((_let_102 (= tptp.p3 tptp.a2))) (let ((_let_103 (not _let_22))) (let ((_let_104 (not _let_23))) (let ((_let_105 (not _let_101))) (let ((_let_106 (not _let_43))) (let ((_let_107 (or _let_106 _let_105 _let_104 _let_103 _let_102 _let_99))) (let ((_let_108 (tptp.incident tptp.p3 tptp.a2a3))) (let ((_let_109 (tptp.incident tptp.p2 tptp.a2a3))) (let ((_let_110 (not _let_109))) (let ((_let_111 (not _let_21))) (let ((_let_112 (not _let_108))) (let ((_let_113 (or _let_112 _let_111 _let_110))) (let ((_let_114 (= tptp.a3a1 tptp.s3))) (let ((_let_115 (tptp.incident tptp.b3 tptp.a3a1))) (let ((_let_116 (= tptp.p2 tptp.b3))) (let ((_let_117 (not _let_18))) (let ((_let_118 (not _let_19))) (let ((_let_119 (not _let_34))) (let ((_let_120 (not _let_115))) (let ((_let_121 (or _let_120 _let_119 _let_118 _let_117 _let_116 _let_79))) (let ((_let_122 (tptp.incident tptp.s tptp.a3a1))) (let ((_let_123 (tptp.incident tptp.b3 tptp.a2a3))) (let ((_let_124 (= tptp.a2a3 tptp.s3))) (let ((_let_125 (not _let_41))) (let ((_let_126 (not _let_27))) (let ((_let_127 (not _let_42))) (let ((_let_128 (tptp.incident tptp.a2 tptp.s3))) (let ((_let_129 (not _let_128))) (let ((_let_130 (or _let_129 _let_127 _let_126 _let_125 _let_13 _let_124))) (let ((_let_131 (= tptp.a2 tptp.s))) (let ((_let_132 (tptp.incident tptp.s tptp.a1a2))) (let ((_let_133 (not _let_132))) (let ((_let_134 (not _let_31))) (let ((_let_135 (not _let_28))) (let ((_let_136 (or _let_135 _let_106 _let_134 _let_133 _let_131 _let_100))) (let ((_let_137 (= tptp.a1 tptp.s))) (let ((_let_138 (not _let_122))) (let ((_let_139 (or _let_61 _let_62 _let_84 _let_138 _let_137 _let_60))) (let ((_let_140 (tptp.incident tptp.b1 tptp.a3a1))) (let ((_let_141 (= tptp.p2 tptp.b1))) (let ((_let_142 (not _let_140))) (let ((_let_143 (or _let_85 _let_142 _let_117 _let_118 _let_141 _let_79))) (let ((_let_144 (= tptp.b1 tptp.b3))) (let ((_let_145 (not _let_91))) (let ((_let_146 (not _let_99))) (let ((_let_147 (REORDERING (IMPLIES_ELIM (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT)))) :args ((or tptp.goal _let_146))))) (let ((_let_148 (MACRO_RESOLUTION_TRUST _let_147 _let_71 :args (_let_146 true tptp.goal)))) (let ((_let_149 (not _let_100))) (let ((_let_150 (or))) (let ((_let_151 (_let_145))) (let ((_let_152 (REFL :args _let_151))) (let ((_let_153 (REFL :args (_let_149)))) (let ((_let_154 (and _let_146 _let_100))) (let ((_let_155 (_let_146 _let_100))) (let ((_let_156 (ASSUME :args (_let_146)))) (let ((_let_157 (=))) (let ((_let_158 (ASSUME :args (_let_100)))) (let ((_let_159 (SYMM _let_158))) (let ((_let_160 (REFL :args (tptp.b1b2)))) (let ((_let_161 (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_154)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_156 _let_158) (SCOPE (FALSE_ELIM (TRANS (CONG _let_160 _let_159 :args _let_157) (FALSE_INTRO _let_156))) :args _let_155)) :args _let_155)) :args (true _let_154)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_146) _let_99))) _let_153 _let_152 :args _let_150)) :args ((or _let_99 _let_145 _let_149))))) (let ((_let_162 (ASSUME :args (_let_28)))) (let ((_let_163 (and _let_28 _let_91))) (let ((_let_164 (_let_28 _let_91))) (let ((_let_165 (TRUE_INTRO _let_162))) (let ((_let_166 (APPLY_UF tptp.incident))) (let ((_let_167 (ASSUME :args (_let_91)))) (let ((_let_168 (SYMM (SYMM _let_167)))) (let ((_let_169 (REFL :args (tptp.a2)))) (let ((_let_170 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_163)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_162 _let_167) (SCOPE (TRUE_ELIM (TRANS (CONG _let_169 _let_168 :args _let_166) _let_165)) :args _let_164)) :args _let_164)) :args (true _let_163)) :args ((or _let_135 _let_101 _let_145))))) (let ((_let_171 (ASSUME :args (_let_43)))) (let ((_let_172 (ASSUME :args (_let_23)))) (let ((_let_173 (ASSUME :args (_let_22)))) (let ((_let_174 (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_74 :args (tptp.a2 tptp.p3 tptp.a1a2 tptp.b1b2 QUANTIFIERS_INST_E_MATCHING _let_76)) :args _let_75))))) (let ((_let_175 (MACRO_RESOLUTION_TRUST _let_174 _let_74 :args (_let_107 false _let_73)))) (let ((_let_176 (REORDERING (CNF_OR_POS :args (_let_107)) :args ((or _let_99 _let_106 _let_104 _let_103 _let_105 _let_102 (not _let_107)))))) (let ((_let_177 (ASSUME :args (_let_42)))) (let ((_let_178 (not _let_102))) (let ((_let_179 (and _let_42 _let_102))) (let ((_let_180 (_let_42 _let_102))) (let ((_let_181 (TRUE_INTRO _let_177))) (let ((_let_182 (REFL :args (tptp.a2a3)))) (let ((_let_183 (ASSUME :args (_let_102)))) (let ((_let_184 (SYMM (SYMM _let_183)))) (let ((_let_185 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_179)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_177 _let_183) (SCOPE (TRUE_ELIM (TRANS (CONG _let_184 _let_182 :args _let_166) _let_181)) :args _let_180)) :args _let_180)) :args (true _let_179)) :args ((or _let_127 _let_108 _let_178))))) (let ((_let_186 (ASSUME :args (_let_21)))) (let ((_let_187 (forall ((A $$unsorted)) (or (not (tptp.incident tptp.p3 A)) (not (tptp.incident tptp.p1 A)) (not (tptp.incident tptp.p2 A)))))) (let ((_let_188 (EQ_RESOLVE (ASSUME :args (_let_58)) (MACRO_SR_EQ_INTRO :args (_let_58 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_189 (MACRO_RESOLUTION_TRUST _let_188 _let_71 :args (_let_187 true tptp.goal)))) (let ((_let_190 (_let_187))) (let ((_let_191 ((not (= (tptp.incident tptp.p1 A) false))))) (let ((_let_192 (ASSUME :args _let_190))) (let ((_let_193 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_192 :args (tptp.a2a3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_191)) :args _let_190)))) (let ((_let_194 (REORDERING (CNF_OR_POS :args (_let_113)) :args ((or _let_111 _let_112 _let_110 (not _let_113)))))) (let ((_let_195 (tptp.incident tptp.s tptp.b1b2))) (let ((_let_196 (tptp.incident tptp.a3 tptp.s2))) (let ((_let_197 (= tptp.b1b2 tptp.a2a3))) (let ((_let_198 (not _let_46))) (let ((_let_199 (or _let_198 _let_125 _let_105 _let_127 _let_13 _let_197))) (let ((_let_200 (= tptp.a2a3 tptp.s2))) (let ((_let_201 (not _let_196))) (let ((_let_202 (or _let_201 _let_125 _let_135 _let_127 _let_13 _let_200))) (let ((_let_203 (= tptp.b2b3 tptp.a2a3))) (let ((_let_204 (= tptp.b2b3 tptp.b1b2))) (let ((_let_205 (tptp.incident tptp.b3 tptp.b1b2))) (let ((_let_206 (not _let_205))) (let ((_let_207 (not _let_35))) (let ((_let_208 (not _let_36))) (let ((_let_209 (or _let_208 _let_92 _let_207 _let_206 _let_8 _let_204))) (let ((_let_210 (= tptp.b1b2 tptp.s3))) (let ((_let_211 (= tptp.a3 tptp.s))) (let ((_let_212 (not _let_195))) (let ((_let_213 (not _let_30))) (let ((_let_214 (or _let_126 _let_198 _let_213 _let_212 _let_211 _let_210))) (let ((_let_215 (ASSUME :args (_let_31)))) (let ((_let_216 (and _let_31 _let_91))) (let ((_let_217 (_let_31 _let_91))) (let ((_let_218 (TRUE_INTRO _let_215))) (let ((_let_219 (REFL :args (tptp.s)))) (let ((_let_220 (and _let_46 _let_91))) (let ((_let_221 (_let_46 _let_91))) (let ((_let_222 (ASSUME :args (_let_46)))) (let ((_let_223 (REFL :args (tptp.a3)))) (let ((_let_224 (ASSUME :args (_let_41)))) (let ((_let_225 (not _let_13))) (let ((_let_226 (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (ASSUME :args (_let_14))) :args ((or tptp.goal _let_225))) _let_71 :args (_let_225 true tptp.goal)))) (let ((_let_227 (not _let_203))) (let ((_let_228 (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT)))) :args ((or tptp.goal _let_227))) _let_71 :args (_let_227 true tptp.goal)))) (let ((_let_229 (not _let_200))) (let ((_let_230 (not _let_204))) (let ((_let_231 (REFL :args (_let_230)))) (let ((_let_232 (_let_229))) (let ((_let_233 (REFL :args _let_232))) (let ((_let_234 (MACRO_SR_PRED_INTRO :args ((= (not _let_227) _let_203))))) (let ((_let_235 (and _let_227 _let_91 _let_200))) (let ((_let_236 (ASSUME :args (_let_227)))) (let ((_let_237 (FALSE_INTRO _let_236))) (let ((_let_238 (ASSUME :args (_let_200)))) (let ((_let_239 (SYMM _let_238))) (let ((_let_240 (TRANS _let_168 _let_239))) (let ((_let_241 (REFL :args (tptp.b2b3)))) (let ((_let_242 (ASSUME :args (_let_38)))) (let ((_let_243 (not _let_141))) (let ((_let_244 (REFL :args (_let_243)))) (let ((_let_245 (MACRO_SR_PRED_INTRO :args ((= (not _let_110) _let_109))))) (let ((_let_246 (ASSUME :args (_let_110)))) (let ((_let_247 (FALSE_INTRO _let_246))) (let ((_let_248 (REFL :args (tptp.p2)))) (let ((_let_249 (ASSUME :args (_let_141)))) (let ((_let_250 (SYMM _let_249))) (let ((_let_251 (ASSUME :args (_let_37)))) (let ((_let_252 (ASSUME :args (_let_36)))) (let ((_let_253 (ASSUME :args (_let_35)))) (let ((_let_254 (not _let_8))) (let ((_let_255 (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (ASSUME :args (_let_9))) :args ((or tptp.goal _let_254))) _let_71 :args (_let_254 true tptp.goal)))) (let ((_let_256 (ASSUME :args (_let_33)))) (let ((_let_257 (ASSUME :args (_let_19)))) (let ((_let_258 (ASSUME :args (_let_18)))) (let ((_let_259 (not _let_79))) (let ((_let_260 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_let_62 _let_208 _let_315 _let_316 (not _let_319)))))) (let ((_let_435 (ASSUME :args (_let_53)))) (let ((_let_436 (not _let_54))) (let ((_let_437 (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (ASSUME :args (_let_55))) :args ((or tptp.goal _let_436))) _let_71 :args (_let_436 true tptp.goal)))) (let ((_let_438 (CNF_AND_NEG :args (_let_54)))) (let ((_let_439 (ASSUME :args (_let_50)))) (let ((_let_440 (not _let_49))) (let ((_let_441 (and _let_49 _let_102))) (let ((_let_442 (_let_49 _let_102))) (let ((_let_443 (ASSUME :args (_let_49)))) (let ((_let_444 (TRUE_INTRO _let_443))) (let ((_let_445 (REFL :args (tptp.b3b1)))) (let ((_let_446 (= tptp.b3b1 tptp.a1a2))) (let ((_let_447 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_74 :args (tptp.a2 tptp.s tptp.s2 tptp.a1a2 QUANTIFIERS_INST_E_MATCHING _let_88)) :args _let_75))) _let_74 :args (_let_136 false _let_73)))) (let ((_let_448 (REORDERING (CNF_OR_POS :args (_let_136)) :args ((or _let_106 _let_134 _let_135 _let_131 _let_133 _let_100 (not _let_136)))))) (let ((_let_449 (= tptp.a2 tptp.b3))) (let ((_let_450 (tptp.incident tptp.a3 tptp.b2b3))) (let ((_let_451 (not _let_450))) (let ((_let_452 (or _let_451 _let_125 _let_326 _let_111 _let_358 _let_203))) (let ((_let_453 (= tptp.a3 tptp.b2))) (let ((_let_454 (tptp.incident tptp.b2 tptp.s3))) (let ((_let_455 (not _let_454))) (let ((_let_456 (or _let_455 _let_317 _let_126 _let_65 _let_453 _let_114))) (let ((_let_457 (not _let_449))) (let ((_let_458 (REFL :args (_let_457)))) (let ((_let_459 (ASSUME :args (_let_449)))) (let ((_let_460 (SYMM _let_459))) (let ((_let_461 (ASSUME :args _let_277))) (let ((_let_462 (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_177 _let_459 _let_461) :args (_let_42 _let_276 _let_449)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_461)) (CONG _let_460 _let_182 :args _let_166) _let_181)) :args (_let_42 _let_449 _let_276)) :args ((not (and _let_42 _let_276 _let_449)) SB_LITERAL))) (CONG (REFL :args (_let_127)) (MACRO_SR_PRED_INTRO :args ((= (not _let_276) _let_123))) _let_458 :args _let_150)))) (let ((_let_463 (and _let_24 _let_449))) (let ((_let_464 (_let_24 _let_449))) (let ((_let_465 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_463)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_287 _let_459) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM _let_460) _let_301 :args _let_166) _let_292)) :args _let_464)) :args _let_464)) :args (true _let_463)) :args ((or _let_289 _let_128 _let_457))))) (let ((_let_466 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_74 :args (tptp.b3 tptp.p1 tptp.a2a3 tptp.b2b3 QUANTIFIERS_INST_E_MATCHING _let_88)) :args _let_75))) _let_74 :args (_let_327 false _let_73)))) (let ((_let_467 (REORDERING (CNF_OR_POS :args (_let_327)) :args ((or _let_203 _let_207 _let_111 _let_326 _let_276 _let_325 (not _let_327)))))) (let ((_let_468 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_74 :args (tptp.a2 tptp.a3 tptp.s3 tptp.a2a3 QUANTIFIERS_INST_E_MATCHING _let_88)) :args _let_75))) _let_74 :args (_let_130 false _let_73)))) (let ((_let_469 (REORDERING (CNF_OR_POS :args (_let_130)) :args ((or _let_13 _let_127 _let_125 _let_126 _let_129 _let_124 (not _let_130)))))) (let ((_let_470 (= tptp.s2 tptp.s3))) (let ((_let_471 (or _let_134 _let_213 _let_135 _let_129 _let_131 _let_470))) (let ((_let_472 (REFL :args _let_299))) (let ((_let_473 (and _let_470 _let_229))) (let ((_let_474 (ASSUME :args _let_232))) (let ((_let_475 (ASSUME :args (_let_470)))) (let ((_let_476 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_473)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_474 _let_475) (SCOPE (FALSE_ELIM (TRANS (CONG _let_182 (SYMM _let_475) :args _let_157) (FALSE_INTRO _let_474))) :args (_let_229 _let_470))) :args (_let_470 _let_229))) :args (true _let_473)) (CONG (REFL :args ((not _let_470))) (MACRO_SR_PRED_INTRO :args ((= (not _let_229) _let_200))) _let_472 :args _let_150)) _let_469 _let_468 _let_226 _let_304 _let_224 _let_177 (REORDERING (CNF_OR_POS :args (_let_471)) :args ((or _let_134 _let_213 _let_135 _let_129 _let_470 _let_131 (not _let_471)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_74 :args (tptp.s tptp.a2 tptp.s2 tptp.s3 QUANTIFIERS_INST_E_MATCHING _let_88)) :args _let_75))) _let_74 :args (_let_471 false _let_73)) _let_162 _let_303 _let_215 :args ((or _let_129 _let_131 _let_200) false _let_124 false _let_130 true _let_13 false _let_27 false _let_41 false _let_42 false _let_470 false _let_471 false _let_28 false _let_30 false _let_31)))) (let ((_let_477 (not _let_325))) (let ((_let_478 (REFL :args (_let_477)))) (let ((_let_479 (MACRO_SR_PRED_INTRO :args ((= (not _let_225) _let_13))))) (let ((_let_480 (and _let_225 _let_449 _let_325))) (let ((_let_481 (_let_225 _let_449 _let_325))) (let ((_let_482 (ASSUME :args (_let_225)))) (let ((_let_483 (FALSE_INTRO _let_482))) (let ((_let_484 (ASSUME :args (_let_325)))) (let ((_let_485 (SYMM _let_484))) (let ((_let_486 (TRANS (SYMM _let_485) _let_460))) (let ((_let_487 (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_480)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_482 _let_459 _let_484) (SCOPE (FALSE_ELIM (TRANS (CONG _let_486 _let_223 :args _let_157) _let_483)) :args _let_481)) :args _let_481)) :args (true _let_480)) (CONG _let_479 _let_458 _let_478 _let_417 :args _let_150)))) (let ((_let_488 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_74 :args (tptp.a3 tptp.p1 tptp.b2b3 tptp.a2a3 QUANTIFIERS_INST_E_MATCHING _let_88)) :args _let_75))) _let_74 :args (_let_452 false _let_73)))) (let ((_let_489 (REORDERING (CNF_OR_POS :args (_let_452)) :args ((or _let_203 _let_125 _let_111 _let_326 _let_451 _let_358 (not _let_452)))))) (let ((_let_490 (REFL :args (_let_208)))) (let ((_let_491 (TRUE_INTRO _let_252))) (let ((_let_492 (ASSUME :args (_let_453)))) (let ((_let_493 (ASSUME :args (_let_451)))) (let ((_let_494 (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_252 _let_492 _let_493) :args (_let_36 _let_451 _let_453)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_493)) (CONG (SYMM (SYMM _let_492)) _let_241 :args _let_166) _let_491)) :args (_let_36 _let_453 _let_451)) :args ((not (and _let_36 _let_451 _let_453)) SB_LITERAL))) (CONG _let_490 (MACRO_SR_PRED_INTRO :args ((= (not _let_451) _let_450))) (REFL :args ((not _let_453))) :args _let_150)))) (let ((_let_495 (and _let_25 _let_200 _let_124))) (let ((_let_496 (_let_25 _let_200 _let_124))) (let ((_let_497 (TRUE_INTRO _let_351))) (let ((_let_498 (REFL :args (tptp.b2)))) (let ((_let_499 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_495)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_351 _let_238 _let_293) (SCOPE (TRUE_ELIM (TRANS (CONG _let_498 _let_294 :args _let_166) (CONG _let_498 (SYMM _let_239) :args _let_166) _let_497)) :args _let_496)) :args _let_496)) :args (true _let_495)) :args ((or _let_93 _let_454 _let_229 _let_288))) _let_351 (REORDERING (CNF_OR_POS :args (_let_456)) :args ((or _let_317 _let_65 _let_126 _let_455 _let_453 _let_114 (not _let_456)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_74 :args (tptp.b2 tptp.a3 tptp.s3 tptp.a3a1 QUANTIFIERS_INST_E_MATCHING _let_88)) :args _let_75))) _let_74 :args (_let_456 false _let_73)) _let_304 _let_67 _let_494 _let_252 _let_489 _let_488 _let_228 _let_375 _let_186 _let_224 _let_487 _let_226 _let_476 _let_469 _let_468 _let_226 _let_304 _let_224 _let_177 _let_467 _let_466 _let_228 _let_375 _let_186 _let_253 _let_465 _let_287 _let_462 _let_177 :args ((or _let_317 _let_131 _let_457 _let_114) false _let_25 true _let_454 false _let_456 false _let_27 false _let_40 true _let_453 false _let_36 true _let_450 false _let_452 true _let_203 false _let_20 false _let_21 false _let_41 true _let_358 true _let_13 false _let_200 false _let_124 false _let_130 true _let_13 false _let_27 false _let_41 false _let_42 false _let_325 false _let_327 true _let_203 false _let_20 false _let_21 false _let_35 false _let_128 false _let_24 false _let_123 false _let_42)))) (let ((_let_500 (not _let_51))) (let ((_let_501 (or _let_106 _let_440 _let_500 _let_119 _let_449 _let_446))) (let ((_let_502 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_74 :args (tptp.a2 tptp.b3 tptp.a1a2 tptp.b3b1 QUANTIFIERS_INST_E_MATCHING _let_88)) :args _let_75))) _let_74 :args (_let_501 false _let_73)))) (let ((_let_503 (REORDERING (CNF_OR_POS :args (_let_501)) :args ((or _let_440 _let_500 _let_106 _let_119 _let_449 _let_446 (not _let_501)))))) (let ((_let_504 (= tptp.s1 tptp.s2))) (let ((_let_505 (tptp.incident tptp.b2 tptp.s1))) (let ((_let_506 (tptp.incident tptp.a1 tptp.s2))) (let ((_let_507 (= tptp.b1b2 tptp.s1))) (let ((_let_508 (not _let_505))) (let ((_let_509 (or _let_508 _let_92 _let_86 _let_94 _let_10 _let_507))) (let ((_let_510 (not _let_506))) (let ((_let_511 (or _let_84 _let_134 _let_61 _let_510 _let_137 _let_504))) (let ((_let_512 (= tptp.b2 tptp.s))) (let ((_let_513 (or _let_92 _let_93 _let_212 _let_134 _let_512 _let_91))) (let ((_let_514 (or _let_126 _let_65 _let_213 _let_138 _let_211 _let_114))) (let ((_let_515 (not _let_10))) (let ((_let_516 (REORDERING (IMPLIES_ELIM (ASSUME :args (_let_11))) :args ((or tptp.goal _let_515))))) (let ((_let_517 (REORDERING (CNF_OR_POS :args (_let_96)) :args ((or _let_10 _let_94 _let_92 _let_93 _let_95 _let_91 (not _let_96)))))) (let ((_let_518 (not _let_504))) (let ((_let_519 (_let_518))) (let ((_let_520 (REFL :args _let_519))) (let ((_let_521 (EQ_RESOLVE (NOT_AND (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args (_let_95)))) (CONG _let_271 (SYMM (ASSUME :args (_let_504))) :args _let_166) _let_272)) :args (_let_26 _let_504 _let_95))) (CONG _let_266 _let_520 (MACRO_SR_PRED_INTRO :args ((= (not _let_95) _let_90))) :args _let_150)))) (let ((_let_522 (and _let_29 _let_315))) (let ((_let_523 (_let_29 _let_315))) (let ((_let_524 (TRUE_INTRO _let_69))) (let ((_let_525 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_522)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_69 _let_338) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM _let_340) _let_309 :args _let_166) _let_524)) :args _let_523)) :args _let_523)) :args (true _let_522)) :args ((or _let_61 _let_505 _let_332))))) (let ((_let_526 (and _let_25 _let_315))) (let ((_let_527 (_let_25 _let_315))) (let ((_let_528 (REFL :args (tptp.s2)))) (let ((_let_529 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_526)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_351 _let_338) (SCOPE (TRUE_ELIM (TRANS (CONG _let_340 _let_528 :args _let_166) _let_497)) :args _let_527)) :args _let_527)) :args (true _let_526)) :args ((or _let_93 _let_506 _let_332))))) (let ((_let_530 (MACRO_RESOLUTION_TRUST _let_516 _let_71 :args (_let_515 true tptp.goal)))) (let ((_let_531 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_74 :args (tptp.b2 tptp.b1 tptp.s1 tptp.b1b2 QUANTIFIERS_INST_E_MATCHING _let_88)) :args _let_75))) _let_74 :args (_let_509 false _let_73)))) (let ((_let_532 (REORDERING (CNF_OR_POS :args (_let_509)) :args ((or _let_10 _let_94 _let_92 _let_86 _let_508 _let_507 (not _let_509)))))) (let ((_let_533 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_74 :args (tptp.s tptp.a1 tptp.s1 tptp.s2 QUANTIFIERS_INST_E_MATCHING _let_88)) :args _let_75))) _let_74 :args (_let_511 false _let_73)))) (let ((_let_534 (REORDERING (CNF_OR_POS :args (_let_511)) :args ((or _let_84 _let_134 _let_61 _let_510 _let_504 _let_137 (not _let_511)))))) (let ((_let_535 (and _let_32 _let_507))) (let ((_let_536 (_let_32 _let_507))) (let ((_let_537 (ASSUME :args (_let_507)))) (let ((_let_538 (SYMM _let_537))) (let ((_let_539 (RESOLUTION (CNF_AND_NEG :args (_let_535)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_305 _let_537) (SCOPE (TRUE_ELIM (TRANS (CONG _let_219 (SYMM _let_538) :args _let_166) _let_308)) :args _let_536)) :args _let_536)) :args (true _let_535)))) (let ((_let_540 (not _let_137))) (let ((_let_541 (and _let_45 _let_137 _let_315))) (let ((_let_542 (ASSUME :args (_let_45)))) (let ((_let_543 (REFL :args (tptp.a3a1)))) (let ((_let_544 (ASSUME :args (_let_137)))) (let ((_let_545 (SYMM _let_544))) (let ((_let_546 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_541)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_542 _let_338 _let_544) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS _let_545 _let_340) _let_543 :args _let_166) (TRUE_INTRO _let_542))) :args (_let_45 _let_315 _let_137))) :args (_let_45 _let_137 _let_315))) :args (true _let_541)) :args ((or _let_317 _let_540 _let_122 _let_332))))) (let ((_let_547 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (tptp.b2 tptp.s tptp.b1b2 tptp.s2 QUANTIFIERS_INST_E_MATCHING _let_76)) :args _let_75)) _let_74 :args (_let_513 false _let_73)))) (let ((_let_548 (REORDERING (CNF_OR_POS :args (_let_513)) :args ((or _let_92 _let_134 _let_93 _let_91 _let_512 _let_212 (not _let_513)))))) (let ((_let_549 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_74 :args (tptp.a3 tptp.s tptp.s3 tptp.a3a1 QUANTIFIERS_INST_E_MATCHING _let_88)) :args _let_75))) _let_74 :args (_let_514 false _let_73)))) (let ((_let_550 (REORDERING (CNF_OR_POS :args (_let_514)) :args ((or _let_65 _let_213 _let_126 _let_138 _let_211 _let_114 (not _let_514)))))) (let ((_let_551 (ASSUME :args (_let_512)))) (let ((_let_552 (ASSUME :args (_let_70)))) (let ((_let_553 (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_551 _let_310 _let_338 _let_552) :args (_let_70 _let_211 _let_512 _let_315)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_552)) (TRUE_INTRO (TRANS _let_340 (SYMM (TRANS _let_311 (SYMM _let_551))))))) :args (_let_512 _let_211 _let_315 _let_70)) :args ((not (and _let_70 _let_211 _let_512 _let_315)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_70) _let_59))) _let_306 (REFL :args ((not _let_512))) _let_335 :args _let_150)))) (let ((_let_554 (MACRO_RESOLUTION_TRUST _let_553 _let_72 _let_550 _let_549 _let_304 _let_303 _let_67 _let_548 _let_547 _let_351 _let_215 _let_251 _let_546 _let_539 _let_305 _let_534 _let_533 _let_69 _let_215 _let_305 _let_532 _let_531 _let_530 _let_263 _let_251 _let_242 _let_529 _let_351 _let_525 _let_69 _let_521 _let_263 _let_517 _let_242 _let_251 _let_351 _let_516 _let_71 _let_97 _let_74 :args ((or _let_317 _let_114 _let_91 _let_332) true _let_59 false _let_211 false _let_514 false _let_27 false _let_30 false _let_40 false _let_512 false _let_513 false _let_25 false _let_31 false _let_37 false _let_122 false _let_195 false _let_32 false _let_137 false _let_511 false _let_29 false _let_31 false _let_32 false _let_507 false _let_509 true _let_10 false _let_26 false _let_37 false _let_38 false _let_506 false _let_25 false _let_505 false _let_29 true _let_504 false _let_26 true _let_90 false _let_38 false _let_37 false _let_25 true _let_10 true tptp.goal false _let_96 false _let_73)))) (let ((_let_555 (tptp.incident tptp.b1 tptp.a1a2))) (let ((_let_556 (= tptp.a1a2 tptp.s1))) (let ((_let_557 (= tptp.p3 tptp.b1))) (let ((_let_558 (not _let_555))) (let ((_let_559 (or _let_94 _let_558 _let_103 _let_104 _let_557 _let_99))) (let ((_let_560 (= tptp.a1 tptp.b1))) (let ((_let_561 (or _let_345 _let_61 _let_558 _let_86 _let_560 _let_556))) (let ((_let_562 (tptp.incident tptp.p3 tptp.a3a1))) (let ((_let_563 (tptp.incident tptp.p2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35))) (let ((_let_564 (tptp.incident tptp.p3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35))) (let ((_let_565 (not _let_446))) (let ((_let_566 (REFL :args (_let_565)))) (let ((_let_567 (TRUE_INTRO _let_256))) (let ((_let_568 (ASSUME :args (_let_446)))) (let ((_let_569 (SYMM _let_568))) (let ((_let_570 (not _let_78))) (let ((_let_571 (and _let_570 _let_446))) (let ((_let_572 (_let_570 _let_446))) (let ((_let_573 (_let_570))) (let ((_let_574 (ASSUME :args _let_573))) (let ((_let_575 (not _let_557))) (let ((_let_576 (and _let_39 _let_560 _let_557))) (let ((_let_577 (_let_39 _let_560 _let_557))) (let ((_let_578 (ASSUME :args (_let_560)))) (let ((_let_579 (ASSUME :args (_let_557)))) (let ((_let_580 (SYMM _let_579))) (let ((_let_581 (REFL :args (_let_575)))) (let ((_let_582 (ASSUME :args (_let_562)))) (let ((_let_583 (tptp.incident tptp.p1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35))) (let ((_let_584 (not _let_583))) (let ((_let_585 (not _let_563))) (let ((_let_586 (or _let_585 _let_584))) (let ((_let_587 (forall ((C $$unsorted)) (or (not (tptp.incident tptp.p2 C)) (not (tptp.incident tptp.p1 C)))))) (let ((_let_588 (not _let_586))) (let ((_let_589 (not _let_587))) (let ((_let_590 (tptp.point tptp.p1))) (let ((_let_591 (not _let_590))) (let ((_let_592 (or _let_392 _let_591 _let_589))) (let ((_let_593 (or _let_326 _let_590))) (let ((_let_594 (_let_589))) 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_let_587)))) (let ((_let_596 (REFL :args (_let_586)))) (let ((_let_597 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_586 0)) (CONG _let_596 (MACRO_SR_PRED_INTRO :args ((= (not _let_585) _let_563))) :args _let_150)) :args ((or _let_563 _let_586))) _let_595 :args (_let_563 true _let_586)))) (let ((_let_598 (not _let_564))) (let ((_let_599 (or _let_598 _let_584 _let_585))) (let ((_let_600 (ASSUME :args (_let_598)))) (let ((_let_601 (ASSUME :args (_let_563)))) (let ((_let_602 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_600 _let_579 _let_249 _let_601) :args (_let_563 _let_141 _let_598 _let_557)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_601)) (CONG (TRANS (SYMM _let_250) _let_580) (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35)) :args _let_166) (FALSE_INTRO _let_600))) :args (_let_598 _let_557 _let_141 _let_563)) :args ((not (and _let_563 _let_141 _let_598 _let_557)) SB_LITERAL))) (CONG 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_let_566 (MACRO_SR_PRED_INTRO :args ((= (not _let_558) _let_555))) :args _let_150)) _let_256 :args ((or _let_78 _let_565) true _let_564 false _let_563 false _let_141 false _let_143 true _let_79 false _let_18 false _let_19 false _let_33 false _let_140 false _let_562 false _let_39 false _let_560 false _let_561 false _let_26 false _let_29 false _let_44 false _let_557 false _let_559 true _let_99 false _let_22 false _let_23 false _let_38 true _let_556 false _let_555 false _let_33)))) (let ((_let_603 (and _let_32 _let_78 _let_446))) (let ((_let_604 (_let_32 _let_78 _let_446))) (let ((_let_605 (ASSUME :args (_let_78)))) (let ((_let_606 (SYMM _let_605))) (let ((_let_607 (SYMM _let_606))) (let ((_let_608 (RESOLUTION (CNF_AND_NEG :args (_let_603)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_305 _let_605 _let_568) (SCOPE (TRUE_ELIM (TRANS (CONG _let_219 _let_569 :args _let_166) (CONG _let_219 _let_607 :args _let_166) _let_308)) :args _let_604)) :args _let_604)) :args (true _let_603)))) (let ((_let_609 (not _let_131))) (let ((_let_610 (and _let_30 _let_131))) (let ((_let_611 (_let_30 _let_131))) (let ((_let_612 (TRUE_INTRO _let_303))) (let ((_let_613 (ASSUME :args (_let_131)))) (let ((_let_614 (SYMM _let_613))) (let ((_let_615 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_610)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_303 _let_613) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM _let_614) _let_301 :args _let_166) _let_612)) :args _let_611)) :args _let_611)) :args (true _let_610)) :args ((or _let_213 _let_128 _let_609))))) (let ((_let_616 (ASSUME :args (_let_322)))) (let ((_let_617 (not _let_114))) (let ((_let_618 (ASSUME :args (_let_114)))) (let ((_let_619 (SYMM _let_618))) (let ((_let_620 (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_371 _let_618 _let_287) :args (_let_24 _let_114 _let_120)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM _let_292) (CONG _let_286 _let_619 :args _let_166) _let_372)) :args (_let_120 _let_114 _let_24)) :args ((not (and 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:args _let_630)) :args (true _let_629)))) (let ((_let_632 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_74 :args (tptp.a1 tptp.s tptp.s1 tptp.a3a1 QUANTIFIERS_INST_E_MATCHING _let_76)) :args _let_75))) _let_74 :args (_let_139 false _let_73)))) (let ((_let_633 (REORDERING (CNF_OR_POS :args (_let_139)) :args ((or _let_62 _let_84 _let_61 _let_137 _let_138 _let_60 (not _let_139)))))) (let ((_let_634 (not _let_144))) (let ((_let_635 (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT)))) :args ((or tptp.goal _let_634))) _let_71 :args (_let_634 true tptp.goal)))) (let ((_let_636 (MACRO_SR_PRED_INTRO :args ((= (not _let_634) _let_144))))) (let ((_let_637 (ASSUME :args (_let_634)))) (let ((_let_638 (FALSE_INTRO _let_637))) (let ((_let_639 (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_429 _let_249 _let_637) :args (_let_634 _let_116 _let_141)) 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_let_208 _let_207 _let_206 _let_204 (not _let_209)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (tptp.b2 tptp.b3 tptp.b2b3 tptp.b1b2 QUANTIFIERS_INST_E_MATCHING _let_88)) :args _let_75)) _let_74 :args (_let_209 false _let_73)) _let_255 _let_253 _let_252 _let_251 (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_246 _let_238 _let_167 _let_249 _let_242) :args (_let_38 _let_110 _let_91 _let_200 _let_141)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_242)) (CONG _let_250 _let_160 :args _let_166) (CONG _let_248 _let_240 :args _let_166) _let_247)) :args (_let_110 _let_200 _let_91 _let_141 _let_38)) :args ((not (and _let_38 _let_110 _let_91 _let_200 _let_141)) SB_LITERAL))) (CONG (REFL :args (_let_94)) _let_245 _let_152 _let_233 _let_244 :args _let_150)) _let_242 (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_235)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_236 _let_238 _let_167) (SCOPE (FALSE_ELIM (TRANS (CONG _let_241 _let_240 :args _let_157) _let_237)) :args (_let_227 _let_200 _let_91))) :args (_let_227 _let_91 _let_200))) :args (true _let_235)) (CONG _let_234 _let_152 _let_233 _let_231 :args _let_150)) :args ((or _let_203 _let_230 _let_145 _let_229))) _let_228 (REORDERING (CNF_OR_POS :args (_let_202)) :args ((or _let_13 _let_127 _let_125 _let_135 _let_201 _let_200 (not _let_202)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_74 :args (tptp.a3 tptp.a2 tptp.s2 tptp.a2a3 QUANTIFIERS_INST_E_MATCHING _let_88)) :args _let_75))) _let_74 :args (_let_202 false _let_73)) _let_226 _let_162 _let_224 _let_177 (REORDERING (CNF_OR_POS :args (_let_199)) :args ((or _let_13 _let_198 _let_127 _let_125 _let_105 _let_197 (not _let_199)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_74 :args (tptp.a3 tptp.a2 tptp.b1b2 tptp.a2a3 QUANTIFIERS_INST_E_MATCHING _let_76)) :args _let_75))) _let_74 :args (_let_199 false _let_73)) _let_226 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_let_166) _let_218)) :args (_let_81 _let_31))) :args (_let_31 _let_81))) :args (true _let_641)))) (let ((_let_644 (= tptp.b3b1 tptp.s3))) (let ((_let_645 (tptp.incident tptp.p2 tptp.b2b3))) (let ((_let_646 (not _let_645))) (let ((_let_647 (tptp.incident tptp.p3 tptp.b2b3))) (let ((_let_648 (not _let_647))) (let ((_let_649 (or _let_648 _let_326 _let_646))) (let ((_let_650 (tptp.incident tptp.p3 tptp.s2))) (let ((_let_651 (= tptp.p3 tptp.b2))) (let ((_let_652 (not _let_650))) (let ((_let_653 (or _let_92 _let_93 _let_103 _let_652 _let_651 _let_91))) (let ((_let_654 (_let_646))) (let ((_let_655 (ASSUME :args _let_654))) (let ((_let_656 (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_655 _let_429 _let_253) :args (_let_35 _let_646 _let_116)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM _let_368) (CONG _let_430 _let_241 :args _let_166) (FALSE_INTRO _let_655))) :args (_let_646 _let_116 _let_35)) :args ((not (and _let_35 _let_646 _let_116)) SB_LITERAL))) (CONG _let_367 (MACRO_SR_PRED_INTRO :args ((= (not _let_646) _let_645))) _let_626 :args _let_150)))) (let ((_let_657 (REFL :args (_let_609)))) (let ((_let_658 (and _let_23 _let_100))) (let ((_let_659 (_let_23 _let_100))) (let ((_let_660 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_74 :args (tptp.b2 tptp.p3 tptp.b1b2 tptp.s2 QUANTIFIERS_INST_E_MATCHING _let_88)) :args _let_75))) _let_74 :args (_let_653 false _let_73)))) (let ((_let_661 (REORDERING (CNF_OR_POS :args (_let_653)) :args ((or _let_92 _let_93 _let_103 _let_91 _let_652 _let_651 (not _let_653)))))) (let ((_let_662 (ASSUME :args (_let_648)))) (let ((_let_663 (ASSUME :args (_let_651)))) (let ((_let_664 (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_662 _let_663 _let_252) :args (_let_36 _let_648 _let_651)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM _let_491) (CONG (SYMM _let_663) _let_241 :args _let_166) (FALSE_INTRO _let_662))) :args (_let_648 _let_651 _let_36)) :args ((not (and _let_36 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_let_28 _let_102))) (let ((_let_682 (_let_28 _let_102))) (let ((_let_683 (= tptp.a3 tptp.b1))) (let ((_let_684 (= tptp.a2 tptp.b1))) (let ((_let_685 (tptp.incident tptp.a3 tptp.b3b1))) (let ((_let_686 (not _let_685))) (let ((_let_687 (or _let_119 _let_289 _let_686 _let_126 _let_356 _let_644))) (let ((_let_688 (or _let_667 _let_95 _let_127 _let_135 _let_684 _let_200))) (let ((_let_689 (not _let_683))) (let ((_let_690 (REFL :args (_let_689)))) (let ((_let_691 (and _let_225 _let_683))) (let ((_let_692 (_let_225 _let_683))) (let ((_let_693 (ASSUME :args (_let_683)))) (let ((_let_694 (SYMM (SYMM _let_693)))) (let ((_let_695 (and _let_634 _let_683))) (let ((_let_696 (_let_634 _let_683))) (let ((_let_697 (and _let_33 _let_683))) (let ((_let_698 (_let_33 _let_683))) (let ((_let_699 (and _let_26 _let_683))) (let ((_let_700 (_let_26 _let_683))) (let ((_let_701 (REFL :args _let_573))) (let ((_let_702 (and _let_259 _let_60))) (let ((_let_703 (_let_259 _let_60))) (let ((_let_704 (ASSUME :args (_let_259)))) (let ((_let_705 (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_702)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_704 _let_269) (SCOPE (FALSE_ELIM (TRANS (CONG _let_445 _let_270 :args _let_157) (FALSE_INTRO _let_704))) :args _let_703)) :args _let_703)) :args (true _let_702)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_259) _let_79))) _let_264 _let_701 :args _let_150)) :args ((or _let_79 _let_570 _let_80))))) (let ((_let_706 (not _let_644))) (let ((_let_707 (and _let_30 _let_644))) (let ((_let_708 (_let_30 _let_644))) (let ((_let_709 (ASSUME :args (_let_644)))) (let ((_let_710 (SYMM _let_709))) (let ((_let_711 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_707)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_303 _let_709) (SCOPE (TRUE_ELIM (TRANS (CONG _let_219 (SYMM _let_710) :args _let_166) _let_612)) :args _let_708)) :args _let_708)) :args (true _let_707)) :args ((or _let_213 _let_82 _let_706))))) (let ((_let_712 (REORDERING (CNF_OR_POS 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(_let_145 _let_507))) (let ((_let_727 (ASSUME :args _let_151))) (let ((_let_728 (or _let_201 _let_198 _let_93 _let_92 _let_453 _let_91))) (let ((_let_729 (not _let_56))) (let ((_let_730 (tptp.incident tptp.p2 tptp.s1))) (let ((_let_731 (tptp.incident tptp.a1 tptp.b3b1))) (let ((_let_732 (= tptp.p2 tptp.a1))) (let ((_let_733 (not _let_730))) (let ((_let_734 (or _let_62 _let_61 _let_118 _let_733 _let_732 _let_60))) (let ((_let_735 (tptp.incident tptp.p2 tptp.a1a2))) (let ((_let_736 (not _let_735))) (let ((_let_737 (tptp.incident tptp.p1 tptp.a1a2))) (let ((_let_738 (not _let_737))) (let ((_let_739 (or _let_104 _let_738 _let_736))) (let ((_let_740 (not _let_731))) (let ((_let_741 (or _let_740 _let_345 _let_119 _let_500 _let_715 _let_446))) (let ((_let_742 (= tptp.b3b1 tptp.a2a3))) (let ((_let_743 (or _let_440 _let_127 _let_119 _let_276 _let_449 _let_742))) (let ((_let_744 (and _let_18 _let_78))) (let ((_let_745 (_let_18 _let_78))) (let ((_let_746 (TRUE_INTRO _let_258))) (let ((_let_747 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_let_274 _let_77 _let_72 _let_69 _let_68 _let_67 (REORDERING (CNF_OR_POS :args (_let_687)) :args ((or _let_119 _let_126 _let_289 _let_686 _let_356 _let_644 (not _let_687)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_74 :args (tptp.b3 tptp.a3 tptp.b3b1 tptp.s3 QUANTIFIERS_INST_E_MATCHING _let_76)) :args _let_75))) _let_74 :args (_let_687 false _let_73)) _let_287 _let_304 _let_379 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_699)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_263 _let_693) (SCOPE (TRUE_ELIM (TRANS (CONG _let_694 _let_309 :args _let_166) _let_272)) :args _let_700)) :args _let_700)) :args (true _let_699)) :args ((or _let_86 _let_63 _let_689))) _let_263 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_697)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_256 _let_693) (SCOPE (TRUE_ELIM (TRANS (CONG _let_694 _let_445 :args _let_166) _let_567)) :args _let_698)) :args _let_698)) :args (true _let_697)) :args ((or _let_85 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false _let_30 true _let_78 true _let_79 false _let_60 false _let_66 true _let_59 false _let_29 false _let_39 false _let_40 false _let_644 false _let_687 false _let_24 false _let_27 false _let_34 false _let_63 false _let_26 false _let_685 false _let_33 true _let_356 true _let_144 true _let_684 true _let_13)) :args ((or _let_667 _let_197) true _let_316 true _let_91 true _let_683)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_681)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_162 _let_183) (SCOPE (TRUE_ELIM (TRANS (CONG _let_184 _let_528 :args _let_166) _let_165)) :args _let_682)) :args _let_682)) :args (true _let_681)) :args ((or _let_135 _let_650 _let_178))) _let_162 _let_661 _let_660 _let_640 _let_173 _let_351 _let_251 _let_664 _let_252 _let_176 _let_175 _let_148 _let_173 _let_172 _let_171 (REORDERING (CNF_OR_POS :args (_let_671)) :args ((or _let_103 _let_326 _let_204 _let_669 _let_648 _let_670 (not _let_671)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_679 _let_680 _let_424) :args (_let_669 _let_382 _let_409)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_425 (CONG (SYMM _let_680) _let_420 :args _let_166) (TRUE_INTRO _let_679))) :args (_let_382 _let_669 _let_409)) :args ((not (and _let_669 _let_382 _let_409)) SB_LITERAL))) (CONG (REFL :args (_let_678)) (REFL :args (_let_383)) _let_416 :args _let_150)) _let_412 _let_413 :args (_let_678 false _let_382 true _let_362)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (tptp.p3 tptp.p1 tptp.b2b3 tptp.b1b2 QUANTIFIERS_INST_E_MATCHING _let_88)) :args _let_75)) _let_74 :args (_let_671 false _let_73)) _let_375 _let_173 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_676)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_177 _let_284) (SCOPE (TRUE_ELIM (TRANS (CONG _let_169 _let_302 :args _let_166) _let_181)) :args _let_677)) :args _let_677)) :args (true _let_676)) :args ((or _let_127 _let_101 _let_275))) _let_177 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_674)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_186 _let_284) (SCOPE (TRUE_ELIM (TRANS (CONG _let_378 _let_302 :args _let_166) (TRUE_INTRO _let_186))) :args _let_675)) :args _let_675)) :args (true _let_674)) :args ((or _let_111 _let_668 _let_275))) _let_186 (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_672)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_236 _let_284) (SCOPE (FALSE_ELIM (TRANS (CONG _let_241 _let_302 :args _let_157) _let_237)) :args _let_673)) :args _let_673)) :args (true _let_672)) (CONG _let_234 _let_280 _let_231 :args _let_150)) :args ((or _let_203 _let_230 _let_275))) _let_228 :args (_let_275 false _let_28 true _let_650 false _let_653 true _let_91 false _let_22 false _let_25 false _let_37 true _let_651 false _let_36 false _let_102 false _let_107 true _let_99 false _let_22 false _let_23 false _let_43 true _let_647 true _let_669 false _let_671 false _let_20 false _let_22 false _let_101 false _let_42 false _let_668 false _let_21 true _let_204 true _let_203)) :args (_let_667 true _let_197)) :args (_let_49 true _let_48)) _let_665 _let_640 _let_666 :args (_let_644 false _let_49 true _let_114 true _let_91 true _let_316)))) (let ((_let_777 (MACRO_RESOLUTION_TRUST _let_712 _let_256 _let_305 _let_263 (MACRO_RESOLUTION_TRUST _let_711 _let_303 _let_776 :args (_let_82 false _let_30 false _let_644)) (MACRO_RESOLUTION_TRUST _let_643 _let_215 (MACRO_RESOLUTION_TRUST _let_517 _let_530 _let_242 _let_251 _let_351 _let_640 _let_98 :args (_let_95 true _let_10 false _let_38 false _let_37 false _let_25 true _let_91 false _let_96)) :args ((not _let_81) false _let_31 true _let_90)) _let_89 :args (_let_78 false _let_33 false _let_32 false _let_26 false _let_82 true _let_81 false _let_87)))) (let ((_let_778 (or _let_65 _let_686 _let_118 _let_117 _let_363 _let_79))) (let ((_let_779 (ASSUME :args (_let_686)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_274 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_258 _let_421 _let_605 _let_312) :args (_let_18 _let_78 _let_64 _let_363)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_313 (CONG _let_422 _let_606 :args _let_166) _let_746)) :args (_let_18 _let_363 _let_78 _let_64)) :args ((not (and _let_18 _let_78 _let_64 _let_363)) SB_LITERAL))) (CONG (REFL :args (_let_117)) _let_701 _let_307 _let_418 :args _let_150)) :args ((or _let_117 _let_63 _let_570 _let_415))) _let_258 _let_777 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_778)) :args ((or _let_79 _let_65 _let_118 _let_117 _let_686 _let_363 (not _let_778)))) _let_260 _let_67 _let_257 _let_258 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_779 _let_709 _let_304) :args (_let_27 _let_686 _let_644)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_304)) (CONG _let_223 _let_710 :args _let_166) (FALSE_INTRO _let_779))) :args (_let_686 _let_644 _let_27)) :args ((not (and _let_27 _let_686 _let_644)) SB_LITERAL))) (CONG (REFL :args (_let_126)) (MACRO_SR_PRED_INTRO :args ((= (not _let_686) _let_685))) (REFL :args _let_767) :args _let_150)) _let_304 _let_776 :args (_let_685 false _let_27 false _let_644)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_74 :args (tptp.a3 tptp.p2 tptp.a3a1 tptp.b3b1 QUANTIFIERS_INST_E_MATCHING _let_76)) :args _let_75))) _let_74 :args (_let_778 false _let_73)) :args (_let_363 true _let_79 false _let_40 false _let_19 false _let_18 false _let_685 false _let_778)) :args (_let_63 false _let_18 false _let_78 false _let_363)) (MACRO_RESOLUTION_TRUST _let_705 _let_260 _let_777 :args (_let_80 true _let_79 false _let_78)) _let_77 _let_72 _let_69 _let_68 _let_67 :args (false false _let_63 true _let_60 false _let_66 true _let_59 false _let_29 false _let_39 false _let_40)) :args (_let_58 _let_57 _let_55 _let_53 _let_50 _let_47 _let_44 _let_43 _let_42 _let_41 _let_40 _let_39 _let_38 _let_37 _let_36 _let_35 _let_34 _let_33 _let_32 _let_31 _let_30 _let_29 _let_28 _let_27 _let_26 _let_25 _let_24 _let_23 _let_22 _let_21 _let_20 _let_19 _let_18 _let_17 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.incident A B) (tptp.line B))) _let_16 _let_14 _let_12 _let_11 _let_9 _let_7 _let_6 _let_5 _let_4 (forall ((A $$unsorted)) (= A A)) (forall ((A $$unsorted) (B $$unsorted)) (=> (= A B) (= B A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (= B C)) (= A C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.incident B C)) (tptp.incident A C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.incident A B) (= B C)) (tptp.incident A C))) _let_3 _let_2 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.line A) (tptp.line B)) (exists ((C $$unsorted)) (and (tptp.incident C A) (tptp.incident C B))))) _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 3.07/3.29 )
% 3.07/3.29 % SZS output end Proof for GEO169+2
% 3.07/3.29 % cvc5---1.0.5 exiting
% 3.07/3.29 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------