TSTP Solution File: GEO168+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GEO168+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n005.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 77.26s 77.45s
% Output : Proof 77.26s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : GEO168+1 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.15 % Command : do_cvc5 %s %d
% 0.16/0.37 % Computer : n005.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Tue Aug 29 19:25:52 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.23/0.53 %----Proving TF0_NAR, FOF, or CNF
% 77.26/77.45 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.Cdwsr9gXIS/cvc5---1.0.5_6449.p...
% 77.26/77.45 ------- get file name : TPTP file name is GEO168+1
% 77.26/77.45 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_6449.smt2...
% 77.26/77.45 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 77.26/77.45 --- Run --no-e-matching --full-saturate-quant at 5...
% 77.26/77.45 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 77.26/77.45 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 77.26/77.45 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 77.26/77.45 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 77.26/77.45 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 77.26/77.45 --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 77.26/77.45 --- Run --prenex-quant=none --full-saturate-quant at 5...
% 77.26/77.45 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 77.26/77.45 --- Run --relevant-triggers --full-saturate-quant at 5...
% 77.26/77.45 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 77.26/77.45 --- Run --pre-skolem-quant=on --full-saturate-quant at 10...
% 77.26/77.45 --- Run --cbqi-vo-exp --full-saturate-quant at 10...
% 77.26/77.45 % SZS status Theorem for GEO168+1
% 77.26/77.45 % SZS output start Proof for GEO168+1
% 77.26/77.45 (
% 77.26/77.45 (let ((_let_1 (not tptp.goal))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.point_equal A A) (tptp.point_equal B B)) (exists ((C $$unsorted)) (and (tptp.incident A C) (tptp.incident B C))))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.incident C A) (tptp.incident C B) (tptp.incident D A) (tptp.incident D B)) (or (tptp.point_equal C D) (tptp.line_equal A B)))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted) (I $$unsorted) (J $$unsorted) (K $$unsorted) (L $$unsorted) (M $$unsorted) (N $$unsorted) (O $$unsorted) (P $$unsorted) (Q $$unsorted)) (=> (and (tptp.colinear A B C J) (tptp.colinear D E F K) (tptp.colinear B F G L) (tptp.colinear C E G M) (tptp.colinear B D H N) (tptp.colinear A E H O) (tptp.colinear C D I P) (tptp.colinear A F I Q)) (or (exists ((R $$unsorted)) (tptp.colinear G H I R)) (tptp.line_equal L M) (tptp.line_equal N O) (tptp.line_equal P Q)))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.incident A B) (tptp.line_equal B C)) (tptp.incident A C))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.point_equal A B) (tptp.incident B C)) (tptp.incident A C))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.line_equal A B) (tptp.line_equal B A))))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.point_equal A B) (tptp.point_equal B A))))) (let ((_let_9 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.incident A B) (tptp.point_equal A A))))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.colinear A B C D) (tptp.incident C D))))) (let ((_let_11 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.colinear A B C D) (tptp.incident B D))))) (let ((_let_12 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.colinear A B C D) (tptp.incident A D))))) (let ((_let_13 (forall ((A $$unsorted)) (=> (and (tptp.incident tptp.g A) (tptp.incident tptp.h A) (tptp.incident tptp.i A)) tptp.goal)))) (let ((_let_14 (tptp.incident tptp.f tptp.l))) (let ((_let_15 (=> _let_14 tptp.goal))) (let ((_let_16 (tptp.incident tptp.e tptp.l))) (let ((_let_17 (=> _let_16 tptp.goal))) (let ((_let_18 (tptp.incident tptp.c tptp.m))) (let ((_let_19 (=> _let_18 tptp.goal))) (let ((_let_20 (tptp.incident tptp.b tptp.m))) (let ((_let_21 (=> _let_20 tptp.goal))) (let ((_let_22 (tptp.incident tptp.a tptp.m))) (let ((_let_23 (=> _let_22 tptp.goal))) (let ((_let_24 (tptp.colinear tptp.a tptp.f tptp.i tptp.s))) (let ((_let_25 (tptp.colinear tptp.c tptp.d tptp.i tptp.r))) (let ((_let_26 (and _let_25 _let_24))) (let ((_let_27 (tptp.colinear tptp.a tptp.e tptp.h tptp.q))) (let ((_let_28 (tptp.colinear tptp.b tptp.d tptp.h tptp.p))) (let ((_let_29 (and _let_28 _let_27))) (let ((_let_30 (tptp.colinear tptp.c tptp.e tptp.g tptp.o))) (let ((_let_31 (tptp.colinear tptp.b tptp.f tptp.g tptp.n))) (let ((_let_32 (and _let_31 _let_30))) (let ((_let_33 (tptp.colinear tptp.d tptp.e tptp.f tptp.m))) (let ((_let_34 (tptp.colinear tptp.a tptp.b tptp.c tptp.l))) (let ((_let_35 (and _let_34 _let_33))) (let ((_let_36 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.point_equal A B)) (not (tptp.incident B C)) (tptp.incident A C))))) (let ((_let_37 (tptp.incident tptp.g SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22))) (let ((_let_38 (tptp.incident tptp.h SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22))) (let ((_let_39 (not _let_38))) (let ((_let_40 (tptp.point_equal tptp.g tptp.h))) (let ((_let_41 (not _let_40))) (let ((_let_42 (or _let_41 _let_39 _let_37))) (let ((_let_43 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_44 (not _let_42))) (let ((_let_45 (tptp.line_equal tptp.n tptp.o))) (let ((_let_46 (tptp.incident tptp.h tptp.o))) (let ((_let_47 (not _let_46))) (let ((_let_48 (tptp.incident tptp.h tptp.n))) (let ((_let_49 (not _let_48))) (let ((_let_50 (tptp.incident tptp.g tptp.o))) (let ((_let_51 (not _let_50))) (let ((_let_52 (tptp.incident tptp.g tptp.n))) (let ((_let_53 (not _let_52))) (let ((_let_54 (or _let_53 _let_51 _let_49 _let_47 _let_40 _let_45))) (let ((_let_55 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.incident C A)) (not (tptp.incident C B)) (not (tptp.incident D A)) (not (tptp.incident D B)) (tptp.point_equal C D) (tptp.line_equal A B))))) (let ((_let_56 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_57 (_let_55))) (let ((_let_58 (tptp.line_equal tptp.q tptp.o))) (let ((_let_59 (not _let_58))) (let ((_let_60 (tptp.incident tptp.h tptp.q))) (let ((_let_61 (not _let_60))) (let ((_let_62 (or _let_61 _let_59 _let_46))) (let ((_let_63 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.incident A B)) (not (tptp.line_equal B C)) (tptp.incident A C))))) (let ((_let_64 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_65 (_let_63))) (let ((_let_66 (not (= (tptp.incident A B) false)))) (let ((_let_67 (_let_66 (not (= (tptp.incident A C) true))))) (let ((_let_68 (tptp.point_equal tptp.e tptp.c))) (let ((_let_69 (tptp.incident tptp.c tptp.o))) (let ((_let_70 (not _let_69))) (let ((_let_71 (tptp.incident tptp.c tptp.q))) (let ((_let_72 (not _let_71))) (let ((_let_73 (tptp.incident tptp.e tptp.o))) (let ((_let_74 (not _let_73))) (let ((_let_75 (tptp.incident tptp.e tptp.q))) (let ((_let_76 (not _let_75))) (let ((_let_77 (or _let_76 _let_74 _let_72 _let_70 _let_68 _let_58))) (let ((_let_78 ((not (= (tptp.incident C A) false)) (not (= (tptp.incident D B) false))))) (let ((_let_79 (tptp.incident tptp.a tptp.q))) (let ((_let_80 (not _let_79))) (let ((_let_81 (tptp.point_equal tptp.c tptp.a))) (let ((_let_82 (not _let_81))) (let ((_let_83 (or _let_82 _let_80 _let_71))) (let ((_let_84 (_let_36))) (let ((_let_85 ((not (= (tptp.point_equal A B) false)) (not (= (tptp.incident B C) false))))) (let ((_let_86 (tptp.point_equal tptp.a tptp.c))) (let ((_let_87 (not _let_86))) (let ((_let_88 (or _let_87 _let_81))) (let ((_let_89 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.point_equal A B)) (tptp.point_equal B A))))) (let ((_let_90 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_91 (_let_89))) (let ((_let_92 ((not (= (tptp.point_equal A B) false))))) (let ((_let_93 (tptp.line_equal tptp.l tptp.s))) (let ((_let_94 (tptp.incident tptp.c tptp.s))) (let ((_let_95 (not _let_94))) (let ((_let_96 (tptp.incident tptp.c tptp.l))) (let ((_let_97 (not _let_96))) (let ((_let_98 (tptp.incident tptp.a tptp.s))) (let ((_let_99 (not _let_98))) (let ((_let_100 (tptp.incident tptp.a tptp.l))) (let ((_let_101 (not _let_100))) (let ((_let_102 (or _let_101 _let_99 _let_97 _let_95 _let_86 _let_93))) (let ((_let_103 (tptp.line_equal tptp.s tptp.l))) (let ((_let_104 (not _let_93))) (let ((_let_105 (or _let_104 _let_103))) (let ((_let_106 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.line_equal A B)) (tptp.line_equal B A))))) (let ((_let_107 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_108 (_let_106))) (let ((_let_109 ((not (= (tptp.line_equal A B) false))))) (let ((_let_110 (not _let_103))) (let ((_let_111 (tptp.incident tptp.f tptp.s))) (let ((_let_112 (not _let_111))) (let ((_let_113 (or _let_112 _let_110 _let_14))) (let ((_let_114 (not _let_24))) (let ((_let_115 (or _let_114 _let_111))) (let ((_let_116 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.colinear A B C D)) (tptp.incident B D))))) (let ((_let_117 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_118 (_let_116))) (let ((_let_119 ((not (= (tptp.colinear A B C D) false))))) (let ((_let_120 (1))) (let ((_let_121 (ASSUME :args (_let_26)))) (let ((_let_122 (AND_ELIM _let_121 :args _let_120))) (let ((_let_123 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_115)) :args ((or _let_114 _let_111 (not _let_115)))) _let_122 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (tptp.a tptp.f tptp.i tptp.s QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_119)) :args _let_118)) _let_117 :args (_let_115 false _let_116)) :args (_let_111 false _let_24 false _let_115)))) (let ((_let_124 (MACRO_SR_PRED_TRANSFORM (ASSUME :args (_let_1)) :args ((= tptp.goal false))))) (let ((_let_125 (tptp.line_equal tptp.r tptp.s))) (let ((_let_126 (not _let_125))) (let ((_let_127 (tptp.incident tptp.c tptp.r))) (let ((_let_128 (not _let_127))) (let ((_let_129 (or _let_128 _let_126 _let_94))) (let ((_let_130 (_let_66 (not (= (tptp.line_equal B C) false))))) (let ((_let_131 (tptp.line_equal tptp.p tptp.q))) (let ((_let_132 (forall ((R $$unsorted)) (not (tptp.colinear tptp.g tptp.h tptp.i R))))) (let ((_let_133 (not _let_132))) (let ((_let_134 (not _let_25))) (let ((_let_135 (not _let_27))) (let ((_let_136 (not _let_28))) (let ((_let_137 (not _let_30))) (let ((_let_138 (not _let_31))) (let ((_let_139 (not _let_33))) (let ((_let_140 (not _let_34))) (let ((_let_141 (or _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_114 _let_133 _let_45 _let_131 _let_125))) (let ((_let_142 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted) (I $$unsorted) (J $$unsorted) (K $$unsorted) (L $$unsorted) (M $$unsorted) (N $$unsorted) (O $$unsorted) (P $$unsorted) (Q $$unsorted)) (or (not (tptp.colinear A B C J)) (not (tptp.colinear D E F K)) (not (tptp.colinear B F G L)) (not (tptp.colinear C E G M)) (not (tptp.colinear B D H N)) (not (tptp.colinear A E H O)) (not (tptp.colinear C D I P)) (not (tptp.colinear A F I Q)) (not (forall ((R $$unsorted)) (not (tptp.colinear G H I R)))) (tptp.line_equal L M) (tptp.line_equal N O) (tptp.line_equal P Q))))) (let ((_let_143 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_144 (tptp.line_equal tptp.q tptp.p))) (let ((_let_145 (not _let_131))) (let ((_let_146 (or _let_145 _let_144))) (let ((_let_147 (tptp.incident tptp.d tptp.p))) (let ((_let_148 (tptp.incident tptp.d tptp.q))) (let ((_let_149 (not _let_147))) (let ((_let_150 (or _let_149 _let_145 _let_148))) (let ((_let_151 (tptp.incident tptp.a tptp.p))) (let ((_let_152 (not _let_144))) (let ((_let_153 (or _let_80 _let_152 _let_151))) (let ((_let_154 (tptp.incident tptp.d tptp.m))) (let ((_let_155 (tptp.incident tptp.e tptp.m))) (let ((_let_156 (tptp.line_equal tptp.q tptp.m))) (let ((_let_157 (tptp.point_equal tptp.d tptp.e))) (let ((_let_158 (not _let_155))) (let ((_let_159 (not _let_154))) (let ((_let_160 (not _let_148))) (let ((_let_161 (or _let_160 _let_159 _let_76 _let_158 _let_157 _let_156))) (let ((_let_162 (tptp.incident tptp.d tptp.o))) (let ((_let_163 (not _let_157))) (let ((_let_164 (or _let_163 _let_74 _let_162))) (let ((_let_165 (tptp.incident tptp.d tptp.r))) (let ((_let_166 (tptp.point_equal tptp.c tptp.d))) (let ((_let_167 (tptp.line_equal tptp.r tptp.o))) (let ((_let_168 (not _let_162))) (let ((_let_169 (not _let_165))) (let ((_let_170 (or _let_128 _let_70 _let_169 _let_168 _let_166 _let_167))) (let ((_let_171 (tptp.incident tptp.i tptp.r))) (let ((_let_172 (tptp.incident tptp.i tptp.o))) (let ((_let_173 (not _let_167))) (let ((_let_174 (not _let_171))) (let ((_let_175 (or _let_174 _let_173 _let_172))) (let ((_let_176 (not _let_172))) (let ((_let_177 (or _let_51 _let_47 _let_176))) (let ((_let_178 (tptp.point_equal tptp.g tptp.i))) (let ((_let_179 (tptp.incident tptp.i tptp.n))) (let ((_let_180 (not _let_179))) (let ((_let_181 (or _let_53 _let_51 _let_180 _let_176 _let_178 _let_45))) (let ((_let_182 (tptp.incident tptp.h tptp.p))) (let ((_let_183 (tptp.line_equal tptp.p tptp.o))) (let ((_let_184 (not _let_183))) (let ((_let_185 (not _let_182))) (let ((_let_186 (or _let_185 _let_184 _let_46))) (let ((_let_187 (tptp.incident tptp.i tptp.s))) (let ((_let_188 (tptp.line_equal tptp.s tptp.n))) (let ((_let_189 (not _let_188))) (let ((_let_190 (not _let_187))) (let ((_let_191 (or _let_190 _let_189 _let_179))) (let ((_let_192 (tptp.incident tptp.c tptp.p))) (let ((_let_193 (not _let_192))) (let ((_let_194 (or _let_193 _let_70 _let_149 _let_168 _let_166 _let_183))) (let ((_let_195 (tptp.line_equal tptp.n tptp.s))) (let ((_let_196 (not _let_195))) (let ((_let_197 (or _let_196 _let_188))) (let ((_let_198 (tptp.line_equal tptp.l tptp.p))) (let ((_let_199 (not _let_198))) (let ((_let_200 (or _let_97 _let_199 _let_192))) (let ((_let_201 (tptp.incident tptp.b tptp.n))) (let ((_let_202 (tptp.incident tptp.f tptp.n))) (let ((_let_203 (tptp.point_equal tptp.b tptp.f))) (let ((_let_204 (not _let_202))) (let ((_let_205 (tptp.incident tptp.b tptp.s))) (let ((_let_206 (not _let_205))) (let ((_let_207 (not _let_201))) (let ((_let_208 (or _let_207 _let_206 _let_204 _let_112 _let_203 _let_195))) (let ((_let_209 (tptp.incident tptp.b tptp.p))) (let ((_let_210 (tptp.incident tptp.b tptp.l))) (let ((_let_211 (tptp.point_equal tptp.b tptp.a))) (let ((_let_212 (not _let_151))) (let ((_let_213 (not _let_209))) (let ((_let_214 (not _let_210))) (let ((_let_215 (or _let_214 _let_213 _let_101 _let_212 _let_211 _let_198))) (let ((_let_216 (not _let_211))) (let ((_let_217 (or _let_216 _let_99 _let_205))) (let ((_let_218 (or _let_136 _let_147))) (let ((_let_219 (0))) (let ((_let_220 (ASSUME :args (_let_29)))) (let ((_let_221 (AND_ELIM _let_220 :args _let_219))) (let ((_let_222 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_218)) :args ((or _let_136 _let_147 (not _let_218)))) _let_221 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (tptp.b tptp.d tptp.h tptp.p QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_119)) :args _let_118)) _let_117 :args (_let_218 false _let_116)) :args (_let_147 false _let_28 false _let_218)))) (let ((_let_223 (or _let_135 _let_79))) (let ((_let_224 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.colinear A B C D)) (tptp.incident A D))))) (let ((_let_225 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_226 (_let_224))) (let ((_let_227 ((not (= (tptp.colinear A B C D) false))))) (let ((_let_228 (AND_ELIM _let_220 :args _let_120))) (let ((_let_229 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_223)) :args ((or _let_135 _let_79 (not _let_223)))) _let_228 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_225 :args (tptp.a tptp.e tptp.h tptp.q QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_227)) :args _let_226)) _let_225 :args (_let_223 false _let_224)) :args (_let_79 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((_let_262 (or _let_137 _let_50))) (let ((_let_263 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_262)) :args ((or _let_137 _let_50 (not _let_262)))) _let_244 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_258 :args (tptp.c tptp.e tptp.g tptp.o QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_260)) :args _let_259)) _let_258 :args (_let_262 false _let_257)) :args (_let_50 false _let_30 false _let_262)))) (let ((_let_264 (forall ((A $$unsorted)) (or (not (tptp.incident tptp.g A)) (not (tptp.incident tptp.h A)) (not (tptp.incident tptp.i A)))))) (let ((_let_265 (EQ_RESOLVE (ASSUME :args (_let_13)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_124 :args ((or tptp.goal _let_264) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_266 (_let_264))) (let ((_let_267 (or _let_138 _let_52))) (let ((_let_268 (AND_ELIM _let_243 :args _let_219))) (let ((_let_269 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_267)) :args ((or 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(not _let_62)))) _let_366 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_77)) :args ((or _let_70 _let_76 _let_74 _let_68 _let_72 _let_58 (not _let_77)))) _let_250 _let_235 _let_245 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_456)) :args ((or _let_16 _let_97 _let_455 (not _let_456)))) _let_340 _let_337 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (tptp.e tptp.c tptp.l QUANTIFIERS_INST_E_MATCHING _let_85)) :args _let_84)) _let_43 :args (_let_456 false _let_36)) :args (_let_455 true _let_16 false _let_96 false _let_456)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_83)) :args ((or _let_80 _let_82 _let_71 (not _let_83)))) _let_229 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_88)) :args ((or _let_81 _let_87 (not _let_88)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_102)) :args ((or _let_101 _let_99 _let_97 _let_95 _let_86 _let_93 (not _let_102)))) _let_440 _let_359 _let_337 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_129)) :args ((or _let_128 _let_126 _let_94 (not _let_129)))) _let_248 _let_454 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (tptp.c tptp.r tptp.s QUANTIFIERS_INST_E_MATCHING _let_130)) :args _let_65)) _let_64 :args (_let_129 false _let_63)) :args (_let_94 false _let_127 false _let_125 false _let_129)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_105)) :args ((or _let_103 _let_104 (not _let_105)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_113)) :args ((or _let_14 _let_112 _let_110 (not _let_113)))) (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO _let_124 :args (_let_15 SB_DEFAULT SBA_FIXPOINT))) _let_123 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (tptp.f tptp.s tptp.l QUANTIFIERS_INST_E_MATCHING _let_67)) :args _let_65)) _let_64 :args (_let_113 false _let_63)) :args (_let_110 true _let_14 false _let_111 false _let_113)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (tptp.l tptp.s QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_109)) :args _let_108)) _let_107 :args (_let_105 false _let_106)) :args (_let_104 true _let_103 false _let_105)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (tptp.l tptp.s tptp.a tptp.c QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_57)) _let_56 :args (_let_102 false _let_55)) :args (_let_86 false _let_100 false _let_98 false _let_96 false _let_94 true _let_93 false _let_102)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_90 :args (tptp.a tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_92)) :args _let_91)) _let_90 :args (_let_88 false _let_89)) :args (_let_81 false _let_86 false _let_88)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (tptp.c tptp.a tptp.q QUANTIFIERS_INST_E_MATCHING _let_85)) :args _let_84)) _let_43 :args (_let_83 false _let_36)) :args (_let_71 false _let_79 false _let_81 false _let_83)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (tptp.q tptp.o tptp.e tptp.c QUANTIFIERS_INST_E_MATCHING _let_78)) :args _let_57)) _let_56 :args (_let_77 false _let_55)) :args (_let_58 false _let_69 false _let_75 false _let_73 true _let_68 false _let_71 false _let_77)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (tptp.h tptp.q tptp.o QUANTIFIERS_INST_E_MATCHING _let_67)) :args _let_65)) _let_64 :args (_let_62 false _let_63)) :args (_let_46 false _let_60 false _let_58 false _let_62)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (tptp.n tptp.o tptp.g tptp.h QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_57)) _let_56 :args (_let_54 false _let_55)) :args (_let_40 true _let_45 false _let_52 false _let_50 false _let_48 false _let_46 false _let_54)) :args (_let_44 false _let_38 true _let_37 false _let_40)) _let_43 :args (false true _let_42 false _let_36)) :args (_let_35 _let_32 _let_29 _let_26 _let_23 _let_21 _let_19 (=> (tptp.incident tptp.d tptp.l) tptp.goal) _let_17 _let_15 _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.point_equal A B) (tptp.point_equal B C)) (tptp.point_equal A C))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.incident A B) (tptp.line_equal B B))) _let_7 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.line_equal A B) (tptp.line_equal B C)) (tptp.line_equal A C))) _let_6 _let_5 _let_4 _let_3 _let_2 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.line_equal C C) (tptp.line_equal B B)) (exists ((A $$unsorted)) (and (tptp.incident A B) (tptp.incident A C))))) _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 77.26/77.45 )
% 77.26/77.45 % SZS output end Proof for GEO168+1
% 77.26/77.45 % cvc5---1.0.5 exiting
% 77.26/77.45 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------