TSTP Solution File: GEO070-3 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GEO070-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n028.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 22:49:32 EDT 2023

% Result   : Unsatisfiable 25.50s 26.17s
% Output   : Proof 25.97s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : GEO070-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.13/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n028.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 22:07:26 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.20/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.49  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.ogS2hAMx7N/cvc5---1.0.5_27836.p...
% 0.20/0.51  ------- get file name : TPTP file name is GEO070-3
% 0.20/0.51  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_27836.smt2...
% 0.20/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.39/10.59  --- Run --no-e-matching --full-saturate-quant at 5...
% 15.39/15.62  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.45/20.65  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.49/25.68  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 25.50/26.17  % SZS status Unsatisfiable for GEO070-3
% 25.50/26.17  % SZS output start Proof for GEO070-3
% 25.97/26.18  (
% 25.97/26.18  (let ((_let_1 (tptp.colinear tptp.u tptp.v tptp.w))) (let ((_let_2 (not (= tptp.x tptp.u)))) (let ((_let_3 (= tptp.u tptp.v))) (let ((_let_4 (not _let_3))) (let ((_let_5 (tptp.between tptp.v tptp.y tptp.x))) (let ((_let_6 (tptp.between tptp.u tptp.y tptp.w))) (let ((_let_7 (tptp.equidistant tptp.u tptp.w tptp.v tptp.x))) (let ((_let_8 (tptp.equidistant tptp.v tptp.w tptp.x tptp.u))) (let ((_let_9 (tptp.equidistant tptp.u tptp.v tptp.w tptp.x))) (let ((_let_10 (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))))) (let ((_let_11 (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 ((_let_12 (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_13 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.between U V W)) (not (tptp.between V U W)) (= U V))))) (let ((_let_14 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.between U V W)) (tptp.between W V U))))) (let ((_let_15 (forall ((U $$unsorted) (V $$unsorted)) (tptp.between U V V)))) (let ((_let_16 (forall ((U $$unsorted) (V $$unsorted)) (tptp.equidistant U U V V)))) (let ((_let_17 (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))))) (let ((_let_18 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.equidistant U V W X)) (tptp.equidistant X W V U))))) (let ((_let_19 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.equidistant U V W X)) (tptp.equidistant X W U V))))) (let ((_let_20 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.equidistant U V W X)) (tptp.equidistant W X V U))))) (let ((_let_21 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.equidistant U V W X)) (tptp.equidistant V U X W))))) (let ((_let_22 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.equidistant U V W X)) (tptp.equidistant U V X W))))) (let ((_let_23 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.equidistant U V W X)) (tptp.equidistant V U W X))))) (let ((_let_24 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.equidistant U V W X)) (tptp.equidistant W X U V))))) (let ((_let_25 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.colinear X Y Z)) (tptp.between X Y Z) (tptp.between Y Z X) (tptp.between Z X Y))))) (let ((_let_26 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (V $$unsorted) (V2 $$unsorted) (W $$unsorted)) (or (not (tptp.equidistant X Y Z V)) (not (tptp.equidistant X Y V2 W)) (tptp.equidistant Z V V2 W))))) (let ((_let_27 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.equidistant X Y Y X)))) (let ((_let_28 (tptp.between tptp.u tptp.w tptp.x))) (let ((_let_29 (tptp.between tptp.w tptp.u tptp.v))) (let ((_let_30 (not _let_29))) (let ((_let_31 (tptp.equidistant tptp.w tptp.v tptp.u tptp.x))) (let ((_let_32 (not _let_31))) (let ((_let_33 (not _let_9))) (let ((_let_34 (tptp.equidistant tptp.w tptp.u tptp.u tptp.w))) (let ((_let_35 (not _let_34))) (let ((_let_36 (or _let_35 _let_33 _let_32 _let_30 _let_28))) (let ((_let_37 (_let_11))) (let ((_let_38 (ASSUME :args _let_37))) (let ((_let_39 (not _let_36))) (let ((_let_40 (tptp.equidistant tptp.v tptp.x tptp.u tptp.w))) (let ((_let_41 (not _let_40))) (let ((_let_42 (tptp.equidistant tptp.v tptp.x tptp.w tptp.u))) (let ((_let_43 (not _let_42))) (let ((_let_44 (or _let_43 _let_41 _let_34))) (let ((_let_45 (_let_26))) (let ((_let_46 (ASSUME :args _let_45))) (let ((_let_47 ((not (= (tptp.equidistant X Y Z V) false)) (not (= (tptp.equidistant X Y V2 W) false))))) (let ((_let_48 (not _let_7))) (let ((_let_49 (or _let_48 _let_42))) (let ((_let_50 (_let_20))) (let ((_let_51 (ASSUME :args _let_50))) (let ((_let_52 ((not (= (tptp.equidistant U V W X) false))))) (let ((_let_53 (ASSUME :args (_let_7)))) (let ((_let_54 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_49)) :args ((or _let_48 _let_42 (not _let_49)))) _let_53 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (tptp.u tptp.w tptp.v tptp.x QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_52)) :args _let_50)) _let_51 :args (_let_49 false _let_20)) :args (_let_42 false _let_7 false _let_49)))) (let ((_let_55 (or _let_48 _let_40))) (let ((_let_56 (_let_24))) (let ((_let_57 (ASSUME :args _let_56))) (let ((_let_58 ((not (= (tptp.equidistant U V W X) false))))) (let ((_let_59 (= tptp.u tptp.w))) (let ((_let_60 (tptp.between tptp.v tptp.w tptp.x))) (let ((_let_61 (not _let_28))) (let ((_let_62 (tptp.between tptp.v tptp.u tptp.w))) (let ((_let_63 (not _let_62))) (let ((_let_64 (or _let_63 _let_61 _let_60 _let_59))) (let ((_let_65 (_let_12))) (let ((_let_66 (ASSUME :args _let_65))) (let ((_let_67 (tptp.between tptp.w tptp.v tptp.u))) (let ((_let_68 (not _let_60))) (let ((_let_69 (tptp.equidistant tptp.w tptp.x tptp.v tptp.u))) (let ((_let_70 (not _let_69))) (let ((_let_71 (tptp.equidistant tptp.v tptp.w tptp.w tptp.v))) (let ((_let_72 (not _let_71))) (let ((_let_73 (or _let_72 _let_70 _let_43 _let_68 _let_67))) (let ((_let_74 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (tptp.v tptp.w tptp.w tptp.v tptp.x tptp.u QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_37)) _let_38 :args (_let_73 false _let_11)))) (let ((_let_75 (tptp.equidistant tptp.u tptp.x tptp.w tptp.v))) (let ((_let_76 (not _let_75))) (let ((_let_77 (tptp.equidistant tptp.v tptp.w tptp.u tptp.x))) (let ((_let_78 (not _let_77))) (let ((_let_79 (or _let_78 _let_76 _let_71))) (let ((_let_80 (_let_17))) (let ((_let_81 (ASSUME :args _let_80))) (let ((_let_82 ((not (= (tptp.equidistant U V W X) false)) (not (= (tptp.equidistant W X Y Z) false))))) (let ((_let_83 (not _let_8))) (let ((_let_84 (or _let_83 _let_75))) (let ((_let_85 (_let_18))) (let ((_let_86 (ASSUME :args _let_85))) (let ((_let_87 ((not (= (tptp.equidistant U V W X) false))))) (let ((_let_88 (ASSUME :args (_let_8)))) (let ((_let_89 (or _let_83 _let_77))) (let ((_let_90 (_let_22))) (let ((_let_91 (ASSUME :args _let_90))) (let ((_let_92 ((not (= (tptp.equidistant U V W X) false))))) (let ((_let_93 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_89)) :args ((or _let_83 _let_77 (not _let_89)))) _let_88 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (tptp.v tptp.w tptp.x tptp.u QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_92)) :args _let_90)) _let_91 :args (_let_89 false _let_22)) :args (_let_77 false _let_8 false _let_89)))) (let ((_let_94 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_79)) :args ((or _let_78 _let_76 _let_71 (not _let_79)))) _let_93 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_84)) :args ((or _let_83 _let_75 (not _let_84)))) _let_88 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (tptp.v tptp.w tptp.x tptp.u QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_87)) :args _let_85)) _let_86 :args (_let_84 false _let_18)) :args (_let_75 false _let_8 false _let_84)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (tptp.v tptp.w tptp.u tptp.x tptp.w tptp.v QUANTIFIERS_INST_E_MATCHING _let_82)) :args _let_80)) _let_81 :args (_let_79 false _let_17)) :args (_let_71 false _let_77 false _let_75 false _let_79)))) (let ((_let_95 (tptp.between tptp.u tptp.v tptp.w))) (let ((_let_96 (not _let_67))) (let ((_let_97 (or _let_96 _let_95))) (let ((_let_98 (_let_14))) (let ((_let_99 (ASSUME :args _let_98))) (let ((_let_100 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (tptp.w tptp.v tptp.u QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.between W V U) true))))) :args _let_98)) _let_99 :args (_let_97 false _let_14)))) (let ((_let_101 (tptp.between tptp.w tptp.x tptp.u))) (let ((_let_102 (not _let_95))) (let ((_let_103 (tptp.equidistant tptp.u tptp.w tptp.w tptp.u))) (let ((_let_104 (not _let_103))) (let ((_let_105 (or _let_33 _let_83 _let_104 _let_102 _let_101))) (let ((_let_106 ((not (= (tptp.equidistant U V U1 V1) false)) (not (= (tptp.equidistant V W V1 W1) false))))) (let ((_let_107 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (tptp.u tptp.v tptp.w tptp.x tptp.w tptp.u QUANTIFIERS_INST_E_MATCHING _let_106)) :args _let_37)) _let_38 :args (_let_105 false _let_11)))) (let ((_let_108 (_let_27))) (let ((_let_109 (ASSUME :args _let_108))) (let ((_let_110 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_109 :args (tptp.u tptp.w QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_108)) _let_109 :args (_let_103 false _let_27)))) (let ((_let_111 (tptp.between tptp.v tptp.u tptp.x))) (let ((_let_112 (not _let_101))) (let ((_let_113 (tptp.equidistant tptp.w tptp.u tptp.v tptp.x))) (let ((_let_114 (not _let_113))) (let ((_let_115 (tptp.equidistant tptp.x tptp.u tptp.u tptp.x))) (let ((_let_116 (not _let_115))) (let ((_let_117 (or _let_70 _let_116 _let_114 _let_112 _let_111))) (let ((_let_118 (or _let_83 _let_78 _let_115))) (let ((_let_119 (tptp.between tptp.x tptp.u tptp.v))) (let ((_let_120 (not _let_111))) (let ((_let_121 (or _let_120 _let_119))) (let ((_let_122 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (tptp.v tptp.u tptp.x QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_98)) _let_99 :args (_let_121 false _let_14)))) (let ((_let_123 (tptp.equidistant tptp.x tptp.u tptp.v tptp.w))) (let ((_let_124 (tptp.equidistant tptp.x tptp.v tptp.v tptp.x))) (let ((_let_125 (not _let_119))) (let ((_let_126 (not _let_124))) (let ((_let_127 (not _let_123))) (let ((_let_128 (or _let_127 _let_33 _let_126 _let_125 _let_60))) (let ((_let_129 (or _let_102 _let_63 _let_3))) (let ((_let_130 (= tptp.u tptp.x))) (let ((_let_131 (or _let_112 _let_125 _let_29 _let_130))) (let ((_let_132 (or _let_30 _let_62))) (let ((_let_133 (ASSUME :args (_let_9)))) (let ((_let_134 (REORDERING (CNF_OR_POS :args (_let_105)) :args ((or _let_33 _let_83 _let_102 _let_101 _let_104 (not _let_105)))))) (let ((_let_135 (_let_13))) (let ((_let_136 (ASSUME :args _let_135))) (let ((_let_137 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (tptp.w tptp.u tptp.v QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_98)) _let_99 :args (_let_132 false _let_14)))) (let ((_let_138 (REORDERING (CNF_OR_POS :args (_let_132)) :args ((or _let_62 _let_30 (not _let_132)))))) (let ((_let_139 (MACRO_RESOLUTION_TRUST _let_138 _let_137 (REORDERING (CNF_OR_POS :args (_let_131)) :args ((or _let_130 _let_112 _let_29 _let_125 (not _let_131)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_66 :args (tptp.w tptp.x tptp.u tptp.v QUANTIFIERS_INST_CBQI_PROP)) :args _let_65))) _let_66 :args (_let_131 false _let_12)) (SYMM (ASSUME :args (_let_2))) (REORDERING (CNF_OR_POS :args (_let_129)) :args ((or _let_3 _let_102 _let_63 (not _let_129)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_136 :args (tptp.u tptp.v tptp.w QUANTIFIERS_INST_CBQI_PROP)) :args _let_135)) _let_136 :args (_let_129 false _let_13)) (ASSUME :args (_let_4)) _let_134 _let_110 _let_107 _let_88 _let_133 :args ((or _let_102 _let_125) false _let_132 false _let_29 false _let_131 true _let_130 true _let_62 false _let_129 true _let_3 false _let_101 false _let_103 false _let_105 false _let_8 false _let_9)))) (let ((_let_140 (or _let_83 _let_123))) (let ((_let_141 (tptp.equidistant tptp.w tptp.u tptp.x tptp.v))) (let ((_let_142 (not _let_141))) (let ((_let_143 (or _let_142 _let_114 _let_124))) (let ((_let_144 (or _let_48 _let_141))) (let ((_let_145 (_let_21))) (let ((_let_146 (ASSUME :args _let_145))) (let ((_let_147 ((not (= (tptp.equidistant U V W X) false))))) (let ((_let_148 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_144)) :args ((or _let_48 _let_141 (not _let_144)))) _let_53 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_146 :args (tptp.u tptp.w tptp.v tptp.x QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_147)) :args _let_145)) _let_146 :args (_let_144 false _let_21)) :args (_let_141 false _let_7 false _let_144)))) (let ((_let_149 (or _let_48 _let_113))) (let ((_let_150 (_let_23))) (let ((_let_151 (ASSUME :args _let_150))) (let ((_let_152 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_149)) :args ((or _let_48 _let_113 (not _let_149)))) _let_53 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_151 :args (tptp.u tptp.w tptp.v tptp.x QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.equidistant U V W X) false))))) :args _let_150)) _let_151 :args (_let_149 false _let_23)) :args (_let_113 false _let_7 false _let_149)))) (let ((_let_153 (REORDERING (CNF_OR_POS :args (_let_97)) :args ((or _let_95 _let_96 (not _let_97)))))) (let ((_let_154 (or _let_33 _let_69))) (let ((_let_155 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_154)) :args ((or _let_33 _let_69 (not _let_154)))) _let_133 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (tptp.u tptp.v tptp.w tptp.x QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_52)) :args _let_50)) _let_51 :args (_let_154 false _let_20)) :args (_let_69 false _let_9 false _let_154)))) (let ((_let_156 (REORDERING (CNF_OR_POS :args (_let_73)) :args ((or _let_70 _let_43 _let_67 _let_68 _let_72 (not _let_73)))))) (let ((_let_157 (REORDERING (CNF_OR_POS :args (_let_121)) :args ((or _let_119 _let_120 (not _let_121)))))) (let ((_let_158 (MACRO_RESOLUTION_TRUST _let_157 (MACRO_RESOLUTION_TRUST _let_156 _let_74 _let_94 _let_54 _let_155 _let_153 _let_100 (REORDERING (CNF_OR_POS :args (_let_128)) :args ((or _let_33 _let_127 _let_125 _let_126 _let_60 (not _let_128)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (tptp.x tptp.u tptp.v tptp.w tptp.v tptp.x QUANTIFIERS_INST_E_MATCHING _let_106)) :args _let_37)) _let_38 :args (_let_128 false _let_11)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_143)) :args ((or _let_114 _let_142 _let_124 (not _let_143)))) _let_152 _let_148 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (tptp.w tptp.u tptp.x tptp.v tptp.v tptp.x QUANTIFIERS_INST_E_MATCHING _let_47)) :args _let_45)) _let_46 :args (_let_143 false _let_26)) :args (_let_124 false _let_113 false _let_141 false _let_143)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_140)) :args ((or _let_83 _let_123 (not _let_140)))) _let_88 (MACRO_RESOLUTION_TRUST 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_let_39))) _let_133 _let_279 _let_282 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_64)) :args ((or _let_63 _let_59 _let_61 _let_60 (not _let_64)))) (MACRO_RESOLUTION_TRUST _let_138 _let_282 _let_137 :args (_let_62 false _let_29 false _let_132)) _let_242 (MACRO_RESOLUTION_TRUST _let_156 _let_155 _let_54 (MACRO_RESOLUTION_TRUST _let_153 _let_159 _let_100 :args (_let_96 true _let_95 false _let_97)) _let_94 _let_74 :args (_let_68 false _let_69 false _let_42 true _let_67 false _let_71 false _let_73)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (tptp.v tptp.u tptp.w tptp.x QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_65)) _let_66 :args (_let_64 false _let_12)) :args (_let_61 false _let_62 true _let_59 true _let_60 false _let_64)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_44)) :args ((or _let_41 _let_43 _let_34 (not _let_44)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_55)) :args ((or _let_48 _let_40 (not _let_55)))) _let_53 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (tptp.u tptp.w tptp.v tptp.x QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_58)) :args _let_56)) _let_57 :args (_let_55 false _let_24)) :args (_let_40 false _let_7 false _let_55)) _let_54 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (tptp.v tptp.x tptp.w tptp.u tptp.u tptp.w QUANTIFIERS_INST_E_MATCHING _let_47)) :args _let_45)) _let_46 :args (_let_44 false _let_26)) :args (_let_34 false _let_40 false _let_42 false _let_44)) :args (_let_39 false _let_9 false _let_31 false _let_29 true _let_28 false _let_34)) _let_38 :args (false true _let_36 false _let_11)) :args (_let_27 _let_26 (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 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_let_25 (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 (tptp.extension W1 U1 tptp.lower_dimension_point_1 tptp.lower_dimension_point_2) U1 U V))) (forall ((U $$unsorted) (V $$unsorted)) (tptp.equidistant U V U V)) _let_24 _let_23 _let_22 _let_21 _let_20 _let_19 _let_18 _let_17 (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 $$unsorted)) (or (not (= V (tptp.reflection U V))) (= U V))) _let_16 (forall ((U $$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))) _let_15 (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_14 (forall ((U $$unsorted) (V $$unsorted)) (tptp.between U U V)) _let_13 (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 $$unsorted)) (let ((_let_1 (tptp.between U V W))) (or (not _let_1) (not (tptp.between V W X)) _let_1))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.between U V W)) (not (tptp.between U W X)) (tptp.between V W X))) _let_12 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.between U V W)) (not (tptp.between V W X)) (tptp.between U V X) (= V W))) (forall ((U $$unsorted) (V $$unsorted) (X $$unsorted) (W $$unsorted)) (or (not (tptp.between U V X)) (not (tptp.between V W X)) (tptp.between U W X))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.between U V W)) (not (tptp.between U W X)) (tptp.between U V X))) (not (= tptp.lower_dimension_point_1 tptp.lower_dimension_point_2)) (not (= tptp.lower_dimension_point_2 tptp.lower_dimension_point_3)) (not (= tptp.lower_dimension_point_1 tptp.lower_dimension_point_3)) (forall ((V $$unsorted) (U $$unsorted)) (not (= V (tptp.extension U V tptp.lower_dimension_point_1 tptp.lower_dimension_point_2)))) (forall ((V $$unsorted) (U $$unsorted) (X $$unsorted) (W $$unsorted)) (tptp.equidistant V (tptp.extension U V tptp.lower_dimension_point_1 tptp.lower_dimension_point_2) X (tptp.extension W X tptp.lower_dimension_point_1 tptp.lower_dimension_point_2))) (forall ((U $$unsorted) (V $$unsorted)) (tptp.between U V (tptp.extension U V tptp.lower_dimension_point_1 tptp.lower_dimension_point_2))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (U1 $$unsorted) (V1 $$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)))) _let_11 (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_10 (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))) (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))) (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))) (forall ((U $$unsorted) (V $$unsorted) (Y $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.between U V Y)) (not (tptp.between V W X)) (not (tptp.between U X Y)) (tptp.between U W Y))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.between U V W)) (not (tptp.equidistant U V U W)) (= V W))) (forall ((W $$unsorted) (V $$unsorted) (U $$unsorted)) (or (not (tptp.between W V U)) (tptp.colinear U V W))) (forall ((U $$unsorted) (W $$unsorted) (V $$unsorted)) (or (not (tptp.between U W V)) (tptp.colinear U V W))) (forall ((V $$unsorted) (U $$unsorted) (W $$unsorted)) (or (not (tptp.between V U W)) (tptp.colinear U V W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.colinear U V W)) (tptp.colinear W V U))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.colinear U V W)) (tptp.colinear V W U))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.colinear U V W)) (tptp.colinear U W V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.colinear U V W)) (tptp.colinear W U V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.colinear U V W)) (tptp.colinear V U W))) (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 $$unsorted)) (or (not (tptp.equidistant U V U1 V1)) (not (tptp.equidistant V W V1 W1)) (not (tptp.equidistant U W U1 W1)) (not (tptp.colinear U V W)) (tptp.colinear U1 V1 W1))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.colinear U V W)) (not (tptp.colinear U V X)) (tptp.colinear U W X) (= U V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.colinear U V W)) (not (tptp.colinear U V X)) (tptp.colinear V W X) (= U V))) (forall ((W $$unsorted) (V $$unsorted) (U $$unsorted) (X $$unsorted)) (or (not (tptp.colinear W V U)) (not (tptp.colinear X V U)) (tptp.colinear X W U) (= U V))) (forall ((W $$unsorted) (V $$unsorted) (U $$unsorted) (X $$unsorted)) (or (not (tptp.colinear W V U)) (not (tptp.colinear X V U)) (tptp.colinear X W V) (= U V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (or (not (tptp.colinear U V W)) (not (tptp.colinear U V W1)) (not (tptp.colinear U V W2)) (tptp.colinear W W1 W2) (= U V))) _let_9 _let_8 _let_7 _let_6 _let_5 _let_4 _let_2 _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 25.97/26.18  )
% 25.97/26.18  % SZS output end Proof for GEO070-3
% 25.97/26.18  % cvc5---1.0.5 exiting
% 25.97/26.19  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------