TSTP Solution File: GEO012-3 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GEO012-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n007.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 22:49:11 EDT 2023
% Result : Unsatisfiable 25.60s 25.87s
% Output : Proof 25.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14 % Problem : GEO012-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.12/0.15 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n007.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Aug 29 23:24:14 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.50 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.JfsQ4ydewE/cvc5---1.0.5_17419.p...
% 0.22/0.51 ------- get file name : TPTP file name is GEO012-3
% 0.22/0.51 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_17419.smt2...
% 0.22/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.44/10.66 --- Run --no-e-matching --full-saturate-quant at 5...
% 15.51/15.69 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.47/20.71 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.54/25.75 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 25.60/25.87 % SZS status Unsatisfiable for GEO012-3
% 25.60/25.87 % SZS output start Proof for GEO012-3
% 25.60/25.88 (
% 25.60/25.88 (let ((_let_1 (tptp.colinear tptp.b tptp.c tptp.d))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.colinear tptp.a tptp.c tptp.d))) (let ((_let_4 (or (not _let_3) _let_2))) (let ((_let_5 (tptp.colinear tptp.a tptp.b tptp.d))) (let ((_let_6 (tptp.colinear tptp.a tptp.b tptp.c))) (let ((_let_7 (not (= tptp.a tptp.b)))) (let ((_let_8 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.colinear U V W)) (tptp.colinear V U W))))) (let ((_let_9 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.colinear U V W)) (tptp.colinear U W V))))) (let ((_let_10 (forall ((V $$unsorted) (U $$unsorted) (W $$unsorted)) (or (not (tptp.between V U W)) (tptp.colinear U V W))))) (let ((_let_11 (forall ((U $$unsorted) (W $$unsorted) (V $$unsorted)) (or (not (tptp.between U W V)) (tptp.colinear U V W))))) (let ((_let_12 (forall ((W $$unsorted) (V $$unsorted) (U $$unsorted)) (or (not (tptp.between W V U)) (tptp.colinear U V W))))) (let ((_let_13 (forall ((U $$unsorted) (V $$unsorted) (Y $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.between U V Y)) (not (tptp.between V W X)) (not (tptp.between U X Y)) (tptp.between U W Y))))) (let ((_let_14 (forall ((U $$unsorted) (V $$unsorted) (X $$unsorted) (W $$unsorted)) (or (not (tptp.between U V X)) (not (tptp.between U W X)) (tptp.between U V W) (tptp.between U W V))))) (let ((_let_15 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.between U V W)) (not (tptp.between U V X)) (= U V) (tptp.between U W X) (tptp.between U X W))))) (let ((_let_16 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.between U V W)) (not (tptp.between V W X)) (tptp.between U V X) (= V W))))) (let ((_let_17 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.between U V W)) (not (tptp.between V W X)) (tptp.between U W X) (= V W))))) (let ((_let_18 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.between U V W)) (not (tptp.between U W X)) (tptp.between V W X))))) (let ((_let_19 (forall ((U $$unsorted) (V $$unsorted)) (tptp.between U U V)))) (let ((_let_20 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.between U V W)) (tptp.between W V U))))) (let ((_let_21 (forall ((U $$unsorted) (W $$unsorted) (X $$unsorted) (V $$unsorted)) (or (not (tptp.between U W X)) (not (= U X)) (tptp.between V W X))))) (let ((_let_22 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.colinear X Y Z)) (tptp.between X Y Z) (tptp.between Y Z X) (tptp.between Z X Y))))) (let ((_let_23 (forall ((Z $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.between Z X Y)) (tptp.colinear X Y Z))))) (let ((_let_24 (forall ((Y $$unsorted) (Z $$unsorted) (X $$unsorted)) (or (not (tptp.between Y Z X)) (tptp.colinear X Y Z))))) (let ((_let_25 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.between X Y Z)) (tptp.colinear X Y Z))))) (let ((_let_26 (= tptp.a tptp.d))) (let ((_let_27 (tptp.between tptp.b tptp.d tptp.c))) (let ((_let_28 (tptp.between tptp.d tptp.a tptp.c))) (let ((_let_29 (not _let_28))) (let ((_let_30 (tptp.between tptp.b tptp.d tptp.a))) (let ((_let_31 (not _let_30))) (let ((_let_32 (or _let_31 _let_29 _let_27 _let_26))) (let ((_let_33 (_let_16))) (let ((_let_34 (ASSUME :args _let_33))) (let ((_let_35 (not _let_32))) (let ((_let_36 (tptp.between tptp.b tptp.a tptp.a))) (let ((_let_37 (tptp.between tptp.b tptp.a tptp.d))) (let ((_let_38 (not _let_26))) (let ((_let_39 (= tptp.b tptp.d))) (let ((_let_40 (or _let_31 _let_31 _let_39 _let_36 _let_36))) (let ((_let_41 (_let_15))) (let ((_let_42 (ASSUME :args _let_41))) (let ((_let_43 ((not (= (tptp.between U V W) false)) (not (= (tptp.between U V X) false))))) (let ((_let_44 (tptp.between tptp.b tptp.d tptp.d))) (let ((_let_45 (tptp.between tptp.b tptp.d tptp.b))) (let ((_let_46 (not _let_39))) (let ((_let_47 (or _let_31 _let_31 _let_44 _let_44))) (let ((_let_48 (_let_14))) (let ((_let_49 (ASSUME :args _let_48))) (let ((_let_50 ((not (= (tptp.between U V X) false)) (not (= (tptp.between U W X) false))))) (let ((_let_51 (tptp.between tptp.d tptp.a tptp.b))) (let ((_let_52 (tptp.between tptp.a tptp.b tptp.d))) (let ((_let_53 (not _let_5))) (let ((_let_54 (or _let_53 _let_52 _let_30 _let_51))) (let ((_let_55 (_let_22))) (let ((_let_56 (ASSUME :args _let_55))) (let ((_let_57 ((not (= (tptp.colinear X Y Z) false))))) (let ((_let_58 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (tptp.a tptp.b tptp.d QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_57)) :args _let_55)) _let_56 :args (_let_54 false _let_22)))) (let ((_let_59 (not _let_51))) (let ((_let_60 (or _let_59 _let_37))) (let ((_let_61 (_let_20))) (let ((_let_62 (ASSUME :args _let_61))) (let ((_let_63 ((not (= (tptp.between U V W) false))))) (let ((_let_64 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (tptp.d tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_63)) :args _let_61)) _let_62 :args (_let_60 false _let_20)))) (let ((_let_65 (tptp.between tptp.b tptp.c tptp.d))) (let ((_let_66 (= tptp.b tptp.a))) (let ((_let_67 (not _let_37))) (let ((_let_68 (tptp.between tptp.b tptp.a tptp.c))) (let ((_let_69 (not _let_68))) (let ((_let_70 (or _let_69 _let_67 _let_66 _let_65 _let_27))) (let ((_let_71 (tptp.b tptp.a tptp.c tptp.d QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_72 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args _let_71) :args _let_41)) _let_42 :args (_let_70 false _let_15)))) (let ((_let_73 (tptp.between tptp.c tptp.a tptp.b))) (let ((_let_74 (not _let_73))) (let ((_let_75 (or _let_74 _let_68))) (let ((_let_76 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (tptp.c tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_63)) :args _let_61)) _let_62 :args (_let_75 false _let_20)))) (let ((_let_77 (tptp.between tptp.b tptp.c tptp.a))) (let ((_let_78 (tptp.between tptp.a tptp.b tptp.c))) (let ((_let_79 (not _let_6))) (let ((_let_80 (or _let_79 _let_78 _let_77 _let_73))) (let ((_let_81 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (tptp.a tptp.b tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_57)) :args _let_55)) _let_56 :args (_let_80 false _let_22)))) (let ((_let_82 (tptp.between tptp.a tptp.c tptp.b))) (let ((_let_83 (not _let_77))) (let ((_let_84 (or _let_83 _let_82))) (let ((_let_85 (tptp.between tptp.b tptp.c tptp.c))) (let ((_let_86 (or _let_83 _let_83 _let_85 _let_85))) (let ((_let_87 (or _let_83 _let_31 _let_65 _let_27))) (let ((_let_88 (tptp.between tptp.c tptp.b tptp.d))) (let ((_let_89 (tptp.between tptp.c tptp.a tptp.d))) (let ((_let_90 (not _let_52))) (let ((_let_91 (not _let_82))) (let ((_let_92 (or _let_91 _let_90 _let_88))) (let ((_let_93 (tptp.between tptp.b tptp.c tptp.b))) (let ((_let_94 (= tptp.b tptp.c))) (let ((_let_95 (tptp.between tptp.a tptp.d tptp.b))) (let ((_let_96 (not _let_95))) (let ((_let_97 (or _let_96 _let_30))) (let ((_let_98 (= tptp.a tptp.c))) (let ((_let_99 (not _let_89))) (let ((_let_100 (or _let_83 _let_99 _let_65 _let_98))) (let ((_let_101 (tptp.between tptp.d tptp.b tptp.a))) (let ((_let_102 (not _let_101))) (let ((_let_103 (or _let_102 _let_52))) (let ((_let_104 (or _let_83 _let_83 _let_94 _let_36 _let_36))) (let ((_let_105 (tptp.colinear tptp.b tptp.a tptp.d))) (let ((_let_106 (not _let_105))) (let ((_let_107 (or _let_106 _let_37 _let_95 _let_101))) (let ((_let_108 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (tptp.b tptp.c tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_63)) :args _let_61)) _let_62 :args (_let_84 false _let_20)))) (let ((_let_109 (REORDERING (CNF_OR_POS :args (_let_84)) :args ((or _let_83 _let_82 (not _let_84)))))) (let ((_let_110 (not _let_27))) (let ((_let_111 (or _let_110 _let_1))) (let ((_let_112 (_let_11))) (let ((_let_113 (ASSUME :args _let_112))) (let ((_let_114 ((not (= (tptp.colinear U V W) true))))) (let ((_let_115 (tptp.between tptp.a tptp.c tptp.d))) (let ((_let_116 (not _let_115))) (let ((_let_117 (or _let_116 _let_3))) (let ((_let_118 (tptp.between tptp.c tptp.d tptp.a))) (let ((_let_119 (not _let_118))) (let ((_let_120 (or _let_119 _let_3))) (let ((_let_121 (or _let_29 _let_3))) (let ((_let_122 (tptp.between tptp.d tptp.c tptp.a))) (let ((_let_123 (not _let_122))) (let ((_let_124 (or _let_123 _let_3))) (let ((_let_125 (tptp.between tptp.a tptp.d tptp.c))) (let ((_let_126 (not _let_125))) (let ((_let_127 (or _let_126 _let_3))) (let ((_let_128 (or _let_99 _let_3))) (let ((_let_129 (tptp.colinear tptp.a tptp.d tptp.c))) (let ((_let_130 (not _let_129))) (let ((_let_131 (or _let_130 _let_3))) (let ((_let_132 (tptp.colinear tptp.a tptp.d tptp.b))) (let ((_let_133 (not _let_65))) (let ((_let_134 (or _let_133 _let_31 _let_118))) (let ((_let_135 (or _let_69 _let_133 _let_115))) (let ((_let_136 (_let_25))) (let ((_let_137 (ASSUME :args _let_136))) (let ((_let_138 ((not (= (tptp.colinear X Y Z) true))))) (let ((_let_139 (_let_24))) (let ((_let_140 (ASSUME :args _let_139))) (let ((_let_141 ((not (= (tptp.colinear X Y Z) true))))) (let ((_let_142 (_let_23))) (let ((_let_143 (ASSUME :args _let_142))) (let ((_let_144 ((not (= (tptp.colinear X Y Z) true))))) (let ((_let_145 (_let_12))) (let ((_let_146 (ASSUME :args _let_145))) (let ((_let_147 ((not (= (tptp.colinear U V W) true))))) (let ((_let_148 (_let_10))) (let ((_let_149 (ASSUME :args _let_148))) (let ((_let_150 ((not (= (tptp.colinear U V W) true))))) (let ((_let_151 (_let_9))) (let ((_let_152 (ASSUME :args _let_151))) (let ((_let_153 (not _let_78))) (let ((_let_154 (or _let_153 _let_90 _let_66 _let_115 _let_125))) (let ((_let_155 (or _let_59 _let_153 _let_28 _let_66))) (let ((_let_156 (tptp.between tptp.a tptp.a tptp.c))) (let ((_let_157 (not _let_156))) (let ((_let_158 (or _let_153 _let_31 _let_157 _let_125))) (let ((_let_159 (SYMM (ASSUME :args (_let_7))))) (let ((_let_160 (tptp.a tptp.b tptp.c tptp.d QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_161 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_42 :args _let_160) :args _let_41))) _let_42 :args (_let_154 false _let_15)))) (let ((_let_162 (REORDERING (CNF_OR_POS :args (_let_154)) :args ((or _let_66 _let_115 _let_125 _let_153 _let_90 (not _let_154)))))) (let ((_let_163 (_let_19))) (let ((_let_164 (ASSUME :args _let_163))) (let ((_let_165 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_164 :args (tptp.a tptp.c QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_163)) _let_164 :args (_let_156 false _let_19)))) (let ((_let_166 (_let_13))) (let ((_let_167 (ASSUME :args _let_166))) (let ((_let_168 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_167 :args (tptp.a tptp.b tptp.c tptp.d tptp.a QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.between U V Y) false)) (not (= (tptp.between V W X) false))))) :args _let_166)) _let_167 :args (_let_158 false _let_13)))) (let ((_let_169 (REORDERING (CNF_OR_POS :args (_let_158)) :args ((or _let_125 _let_153 _let_31 _let_157 (not _let_158)))))) (let ((_let_170 (ASSUME :args (_let_5)))) (let ((_let_171 (REORDERING (CNF_OR_POS :args (_let_54)) :args ((or _let_53 _let_52 _let_30 _let_51 (not _let_54)))))) (let ((_let_172 (or _let_53 _let_132))) (let ((_let_173 (not _let_94))) (let ((_let_174 (not _let_132))) (let ((_let_175 (or))) (let ((_let_176 (REFL :args (_let_173)))) (let ((_let_177 (ASSUME :args (_let_130)))) (let ((_let_178 (ASSUME :args (_let_94)))) (let ((_let_179 (SYMM (SYMM _let_178)))) (let ((_let_180 (REFL :args (tptp.d)))) (let ((_let_181 (REFL :args (tptp.a)))) (let ((_let_182 (ASSUME :args (_let_132)))) (let ((_let_183 (tptp.between tptp.d tptp.b tptp.c))) (let ((_let_184 (not _let_183))) (let ((_let_185 (or _let_184 _let_83 _let_122 _let_94))) (let ((_let_186 (or _let_110 _let_83 _let_122))) (let ((_let_187 (not _let_88))) (let ((_let_188 (or _let_187 _let_183))) (let ((_let_189 (or _let_31 _let_69 _let_28))) (let ((_let_190 (or _let_102 _let_69 _let_28 _let_66))) (let ((_let_191 (or _let_67 _let_110 _let_125))) (let ((_let_192 (_let_18))) (let ((_let_193 (ASSUME :args _let_192))) (let ((_let_194 (tptp.b tptp.d tptp.a tptp.c QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_195 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_193 :args _let_194) :args _let_192)) _let_193 :args (_let_189 false _let_18)))) (let ((_let_196 (REORDERING (CNF_OR_POS :args (_let_189)) :args ((or _let_28 _let_31 _let_69 (not _let_189)))))) (let ((_let_197 (_let_17))) (let ((_let_198 (ASSUME :args _let_197))) (let ((_let_199 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (tptp.a tptp.d tptp.b QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_61)) _let_62 :args (_let_97 false _let_20)))) (let ((_let_200 (REORDERING (CNF_OR_POS :args (_let_97)) :args ((or _let_30 _let_96 (not _let_97)))))) (let ((_let_201 (or _let_53 _let_105))) (let ((_let_202 (_let_8))) (let ((_let_203 (ASSUME :args _let_202))) (let ((_let_204 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_201)) :args ((or _let_53 _let_105 (not _let_201)))) _let_170 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_203 :args (tptp.a tptp.b tptp.d QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.colinear U V W) false))))) :args _let_202)) _let_203 :args (_let_201 false _let_8)) :args (_let_105 false _let_5 false _let_201)))) (let ((_let_205 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (tptp.b tptp.a tptp.d QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_57)) :args _let_55)) _let_56 :args (_let_107 false _let_22)))) (let ((_let_206 (REORDERING (CNF_OR_POS :args (_let_107)) :args ((or _let_106 _let_37 _let_95 _let_101 (not _let_107)))))) (let ((_let_207 (REORDERING (CNF_OR_POS :args (_let_70)) :args ((or _let_66 _let_65 _let_27 _let_69 _let_67 (not _let_70)))))) (let ((_let_208 (REORDERING (CNF_OR_POS :args (_let_75)) :args ((or _let_74 _let_68 (not _let_75)))))) (let ((_let_209 (ASSUME :args (_let_6)))) (let ((_let_210 (REORDERING (CNF_OR_POS :args (_let_80)) :args ((or _let_79 _let_78 _let_77 _let_73 (not _let_80)))))) (let ((_let_211 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_198 :args (tptp.d tptp.b tptp.c tptp.a QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_197)) _let_198 :args (_let_185 false _let_17)))) (let ((_let_212 (REORDERING (CNF_OR_POS :args (_let_185)) :args ((or _let_184 _let_122 _let_83 _let_94 (not _let_185)))))) (let ((_let_213 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (tptp.c tptp.b tptp.d QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_61)) _let_62 :args (_let_188 false _let_20)))) (let ((_let_214 (REORDERING (CNF_OR_POS :args (_let_188)) :args ((or _let_183 _let_187 (not _let_188)))))) (let ((_let_215 (or _let_83 _let_67 _let_89))) (let ((_let_216 (tptp.b tptp.c tptp.a tptp.d QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_217 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE 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(not _let_264))) (let ((_let_268 (or _let_267 _let_1))) (let ((_let_269 (not _let_44))) (let ((_let_270 (ASSUME :args (_let_265)))) (let ((_let_271 (ASSUME :args (_let_39)))) (let ((_let_272 (ASSUME :args (_let_44)))) (let ((_let_273 (ASSUME :args (_let_26)))) (let ((_let_274 (ASSUME :args (_let_67)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_34 :args _let_194) :args _let_33))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_32)) :args ((or _let_29 _let_27 _let_31 _let_26 _let_35))) (MACRO_RESOLUTION_TRUST _let_196 _let_263 _let_260 _let_195 :args (_let_28 false _let_30 false _let_68 false _let_189)) _let_226 _let_263 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_248 _let_273 _let_274) :args (_let_26 _let_36 _let_67)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_274)) (CONG _let_243 _let_181 (SYMM _let_273) :args _let_242) _let_249)) :args (_let_36 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(_let_266)) :args ((or _let_264 _let_265 (not _let_266)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_268)) :args ((or _let_1 _let_267 (not _let_268)))) _let_225 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_140 :args (tptp.c tptp.d tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_141)) :args _let_139)) _let_140 :args (_let_268 false _let_24)) :args (_let_267 true _let_1 false _let_268)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_235 :args (tptp.d tptp.b tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_237)) :args _let_236)) _let_235 :args (_let_266 false _let_234)) :args (_let_265 true _let_264 false _let_266)) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_47))) :args ((or _let_31 _let_44 (not _let_47)))) _let_263 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (tptp.b tptp.d tptp.a tptp.d QUANTIFIERS_INST_E_MATCHING _let_50)) :args _let_48)) _let_49 :args (_let_47 false _let_14)) :args (_let_44 false _let_30 false _let_47)) :args (_let_46 true _let_45 false _let_44)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.b tptp.d tptp.a tptp.a QUANTIFIERS_INST_E_MATCHING _let_43)) :args _let_41)) _let_42 :args (_let_40 false _let_15)) :args (_let_36 false _let_30 true _let_39 false _let_40)) :args (_let_38 true _let_37 false _let_36)) :args (_let_35 false _let_28 true _let_27 false _let_30 true _let_26)) _let_34 :args (false true _let_32 false _let_16)) :args ((forall ((X $$unsorted) (Y $$unsorted)) (tptp.equidistant X Y Y X)) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (V $$unsorted) (V2 $$unsorted) (W $$unsorted)) (or (not (tptp.equidistant X Y Z V)) (not (tptp.equidistant X Y V2 W)) (tptp.equidistant Z V V2 W))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.equidistant X Y Z Z)) (= X Y))) (forall ((X $$unsorted) (Y $$unsorted) (W $$unsorted) (V $$unsorted)) (tptp.between X Y (tptp.extension X Y W V))) (forall ((Y $$unsorted) (X $$unsorted) (W $$unsorted) (V $$unsorted)) (tptp.equidistant Y (tptp.extension X Y W V) W V)) (forall ((X $$unsorted) (Y $$unsorted) (X1 $$unsorted) (Y1 $$unsorted) (Z $$unsorted) (Z1 $$unsorted) (V $$unsorted) (V1 $$unsorted)) (or (not (tptp.equidistant X Y X1 Y1)) (not (tptp.equidistant Y Z Y1 Z1)) (not (tptp.equidistant X V X1 V1)) (not (tptp.equidistant Y V Y1 V1)) (not (tptp.between X Y Z)) (not (tptp.between X1 Y1 Z1)) (= X Y) (tptp.equidistant Z V Z1 V1))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.between X Y X)) (= X Y))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (Y $$unsorted) (X $$unsorted)) (or (not (tptp.between U V W)) (not (tptp.between Y X W)) (tptp.between V (tptp.inner_pasch U V W X Y) Y))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (Y $$unsorted) (X $$unsorted)) (or (not (tptp.between U V W)) (not (tptp.between Y X W)) (tptp.between X (tptp.inner_pasch U V W X Y) U))) (not (tptp.between tptp.lower_dimension_point_1 tptp.lower_dimension_point_2 tptp.lower_dimension_point_3)) (not (tptp.between tptp.lower_dimension_point_2 tptp.lower_dimension_point_3 tptp.lower_dimension_point_1)) (not (tptp.between tptp.lower_dimension_point_3 tptp.lower_dimension_point_1 tptp.lower_dimension_point_2)) (forall ((X $$unsorted) (W $$unsorted) (V $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.equidistant X W X V)) (not (tptp.equidistant Y W Y V)) (not (tptp.equidistant Z W Z V)) (tptp.between X Y Z) (tptp.between Y Z X) (tptp.between Z X Y) (= W V))) (forall ((U $$unsorted) (W $$unsorted) (Y $$unsorted) (V $$unsorted) (X $$unsorted)) (or (not (tptp.between U W Y)) (not (tptp.between V W X)) (= U W) (tptp.between U V (tptp.euclid1 U V W X Y)))) (forall ((U $$unsorted) (W $$unsorted) (Y $$unsorted) (V $$unsorted) (X $$unsorted)) (or (not (tptp.between U W Y)) (not (tptp.between V W X)) (= U W) (tptp.between U X (tptp.euclid2 U V W X Y)))) (forall ((U $$unsorted) (W $$unsorted) (Y $$unsorted) (V $$unsorted) (X $$unsorted)) (or (not (tptp.between U W Y)) (not (tptp.between V W X)) (= U W) (tptp.between (tptp.euclid1 U V W X Y) Y (tptp.euclid2 U V W X Y)))) (forall ((U $$unsorted) (V $$unsorted) (V1 $$unsorted) (X $$unsorted) (X1 $$unsorted) (W $$unsorted)) (or (not (tptp.equidistant U V U V1)) (not (tptp.equidistant U X U X1)) (not (tptp.between U V X)) (not (tptp.between V W X)) (tptp.between V1 (tptp.continuous U V V1 W X X1) X1))) (forall ((U $$unsorted) (V $$unsorted) (V1 $$unsorted) (X $$unsorted) (X1 $$unsorted) (W $$unsorted)) (or (not (tptp.equidistant U V U V1)) (not (tptp.equidistant U X U X1)) (not (tptp.between U V X)) (not (tptp.between V W X)) (tptp.equidistant U W U (tptp.continuous U V V1 W X X1)))) _let_25 _let_24 _let_23 _let_22 (forall ((U $$unsorted) (V $$unsorted)) (= (tptp.reflection U V) (tptp.extension U V U V))) (forall ((U1 $$unsorted) (W1 $$unsorted) (U $$unsorted) (V $$unsorted)) (= (tptp.insertion U1 W1 U V) (tptp.extension 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(V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.equidistant U V W X)) (tptp.equidistant X W V U))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.equidistant U V W X)) (not (tptp.equidistant W X Y Z)) (tptp.equidistant U V Y Z))) (forall ((V $$unsorted) (U $$unsorted) (W $$unsorted)) (= V (tptp.extension U V W W))) (forall ((Y $$unsorted) (U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= Y (tptp.extension U V W X))) (tptp.between U V Y))) (forall ((U $$unsorted) (V $$unsorted)) (tptp.between U V (tptp.reflection U V))) (forall ((V $$unsorted) (U $$unsorted)) (tptp.equidistant V (tptp.reflection U V) U V)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= U V)) (= V (tptp.reflection U V)))) (forall ((U $$unsorted)) (= U (tptp.reflection U U))) (forall ((V $$unsorted) (U $$unsorted)) (or (not (= V (tptp.reflection U V))) (= U V))) (forall ((U $$unsorted) (V $$unsorted)) (tptp.equidistant U U V V)) (forall ((U $$unsorted) (V $$unsorted) (U1 $$unsorted) (V1 $$unsorted) (W $$unsorted) (W1 $$unsorted)) (or (not (tptp.equidistant U V U1 V1)) (not (tptp.equidistant V W V1 W1)) (not (tptp.between U V W)) (not (tptp.between U1 V1 W1)) (tptp.equidistant U W U1 W1))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.between U V W)) (not (tptp.between U V X)) (not (tptp.equidistant V W V X)) (= U V) (= W X))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.between U V W)) (= U V) (= W (tptp.extension U V V W)))) (forall ((W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted) (U $$unsorted) (V $$unsorted)) (or (not (tptp.equidistant W X Y Z)) (= (tptp.extension U V W X) (tptp.extension U V Y Z)) (= U V))) (forall ((U $$unsorted) (V $$unsorted)) (or (= (tptp.extension U V U V) (tptp.extension U V V U)) (= U V))) (forall ((V $$unsorted) (U $$unsorted)) (tptp.equidistant V U V (tptp.reflection (tptp.reflection U V) V))) (forall ((U $$unsorted) (V $$unsorted)) (= U (tptp.reflection (tptp.reflection U V) V))) (forall ((U $$unsorted) (V $$unsorted)) (tptp.between U V V)) _let_21 _let_20 _let_19 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.between U V W)) (not (tptp.between V U W)) (= U V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.between U V W)) (not (tptp.between U W V)) (= V W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.between U V W)) (not (tptp.between V U W)) (= U V) (= V W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.between U V W)) (not (tptp.between U W V)) (= U V) (= V W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.between U V W))) (or (not _let_1) (not (tptp.between V W X)) _let_1))) _let_18 _let_17 _let_16 (forall ((U $$unsorted) (V $$unsorted) (X $$unsorted) (W $$unsorted)) (or (not (tptp.between U V X)) (not 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$$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.inner_pasch V1 (tptp.inner_pasch U X U1 V1 W) U V W))) (or (not (tptp.between U V W)) (not (tptp.between U1 V1 W)) (not (tptp.between U X U1)) (tptp.between X _let_1 W) (tptp.between V _let_1 V1)))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (W1 $$unsorted)) (or (not (tptp.between U V W)) (not (tptp.equidistant U W U W1)) (not (tptp.equidistant V W V W1)) (= U V) (= W W1))) (forall ((U $$unsorted) (V $$unsorted) (U1 $$unsorted) (V1 $$unsorted) (W $$unsorted) (W1 $$unsorted) (X $$unsorted) (X1 $$unsorted)) (or (not (tptp.equidistant U V U1 V1)) (not (tptp.equidistant U W U1 W1)) (not (tptp.equidistant U X U1 X1)) (not (tptp.equidistant W X W1 X1)) (not (tptp.between U V W)) (not (tptp.between U1 V1 W1)) (tptp.equidistant V X V1 X1))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (U1 $$unsorted) (V1 $$unsorted) (W1 $$unsorted)) (or (not (tptp.between U V W)) (not (tptp.between U1 V1 W1)) (not (tptp.equidistant U V U1 V1)) (not (tptp.equidistant U W U1 W1)) (tptp.equidistant V W V1 W1))) (forall ((U $$unsorted) (V $$unsorted) (U1 $$unsorted) (V1 $$unsorted) (W $$unsorted) (W1 $$unsorted) (X $$unsorted) (X1 $$unsorted)) (or (not (tptp.equidistant U V U1 V1)) (not (tptp.equidistant V W V1 W1)) (not (tptp.equidistant U X U1 X1)) (not (tptp.equidistant W X W1 X1)) (not (tptp.between U V W)) (not (tptp.between U1 V1 W1)) (tptp.equidistant V X V1 X1))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.between U V W)) (not (tptp.equidistant U V U X)) (not (tptp.equidistant W V W X)) (= V X))) (forall ((U $$unsorted) (V $$unsorted) (U1 $$unsorted) (W1 $$unsorted)) (tptp.equidistant U V U1 (tptp.insertion U1 W1 U V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (U1 $$unsorted) (W1 $$unsorted)) (or (not (tptp.between U V W)) (not (tptp.equidistant U W U1 W1)) (tptp.between U1 (tptp.insertion U1 W1 U V) W1))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (U1 $$unsorted) (W1 $$unsorted)) (or (not (tptp.between U V W)) (not (tptp.equidistant U W U1 W1)) (tptp.equidistant V W (tptp.insertion U1 W1 U V) W1))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.between U V W)) (= V (tptp.insertion U W U V)))) (forall ((W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted) (U $$unsorted) (V $$unsorted)) (or (not (tptp.equidistant W X Y Z)) (= (tptp.insertion U V W X) (tptp.insertion U V Y Z)))) (forall ((U $$unsorted) (V $$unsorted) (U1 $$unsorted) (V1 $$unsorted) (W $$unsorted) (W1 $$unsorted)) (or (not (tptp.equidistant U V U1 V1)) (not (tptp.equidistant V W V1 W1)) (not (tptp.equidistant U W U1 W1)) (not (tptp.between U V W)) (tptp.between U1 V1 W1))) _let_15 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.between U V W)) (not (tptp.between U V X)) (= U V) (tptp.between V W X) (tptp.between V X W))) (forall ((U $$unsorted) (W $$unsorted) (X $$unsorted) (V $$unsorted)) (or (not (tptp.between U W X)) (not (tptp.between V W X)) (= W X) (tptp.between U V W) (tptp.between V U W))) _let_14 (forall ((U $$unsorted) (V $$unsorted) (X $$unsorted) (W $$unsorted)) (or (not (tptp.between U V X)) (not (tptp.between U W X)) (tptp.between V W X) (tptp.between W V X))) _let_13 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.between U V W)) (not (tptp.equidistant U V U W)) (= V W))) _let_12 _let_11 _let_10 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.colinear U V W)) (tptp.colinear W V U))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.colinear U V W)) (tptp.colinear V W U))) _let_9 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.colinear U V W)) (tptp.colinear W U V))) _let_8 (not (tptp.colinear tptp.lower_dimension_point_1 tptp.lower_dimension_point_2 tptp.lower_dimension_point_3)) (forall ((X $$unsorted) (Y $$unsorted)) (tptp.colinear X X Y)) (forall ((X $$unsorted) (Y $$unsorted)) (tptp.colinear X Y X)) (forall ((Y $$unsorted) (X $$unsorted)) (tptp.colinear Y X X)) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= X Y)) (tptp.colinear X Z Y))) (forall ((U $$unsorted) (V $$unsorted) (U1 $$unsorted) (V1 $$unsorted) (W $$unsorted) (W1 $$unsorted)) (or (not (tptp.equidistant U V U1 V1)) (not (tptp.equidistant V W V1 W1)) (not (tptp.equidistant U W U1 W1)) (not (tptp.colinear U V W)) (tptp.colinear U1 V1 W1))) _let_7 _let_6 _let_5 _let_4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 25.60/25.88 )
% 25.60/25.88 % SZS output end Proof for GEO012-3
% 25.60/25.88 % cvc5---1.0.5 exiting
% 25.60/25.89 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------