TSTP Solution File: GEO036-2 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GEO036-2 : TPTP v8.1.2. Released v1.0.0.
% 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 22:49:20 EDT 2023
% Result : Unsatisfiable 0.80s 1.00s
% Output : Proof 0.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO036-2 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n005.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 21:37:37 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.51 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.dQuRsAh92F/cvc5---1.0.5_22970.p...
% 0.22/0.51 ------- get file name : TPTP file name is GEO036-2
% 0.22/0.52 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_22970.smt2...
% 0.22/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.80/1.00 % SZS status Unsatisfiable for GEO036-2
% 0.80/1.00 % SZS output start Proof for GEO036-2
% 0.80/1.00 (
% 0.80/1.00 (let ((_let_1 (= tptp.lower_dimension_point_1 tptp.lower_dimension_point_3))) (let ((_let_2 (= tptp.lower_dimension_point_2 tptp.lower_dimension_point_3))) (let ((_let_3 (= tptp.lower_dimension_point_1 tptp.lower_dimension_point_2))) (let ((_let_4 (or _let_3 _let_2 _let_1))) (let ((_let_5 (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 ((_let_6 (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))))) (let ((_let_7 (tptp.between tptp.lower_dimension_point_2 tptp.lower_dimension_point_3 tptp.lower_dimension_point_1))) (let ((_let_8 (not _let_7))) (let ((_let_9 (tptp.between tptp.lower_dimension_point_1 tptp.lower_dimension_point_2 tptp.lower_dimension_point_3))) (let ((_let_10 (not _let_9))) (let ((_let_11 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.between X Y X)) (= X Y))))) (let ((_let_12 (forall ((Y $$unsorted) (X $$unsorted) (W $$unsorted) (V $$unsorted)) (tptp.equidistant Y (tptp.extension X Y W V) W V)))) (let ((_let_13 (forall ((X $$unsorted) (Y $$unsorted) (W $$unsorted) (V $$unsorted)) (tptp.between X Y (tptp.extension X Y W V))))) (let ((_let_14 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.equidistant X Y Z Z)) (= X Y))))) (let ((_let_15 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (V $$unsorted) (V2 $$unsorted) (W $$unsorted)) (or (not (tptp.equidistant X Y Z V)) (not (tptp.equidistant X Y V2 W)) (tptp.equidistant Z V V2 W))))) (let ((_let_16 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.equidistant X Y Y X)))) (let ((_let_17 (tptp.continuous tptp.lower_dimension_point_1 tptp.lower_dimension_point_1 tptp.lower_dimension_point_1 tptp.lower_dimension_point_1 tptp.lower_dimension_point_1 tptp.lower_dimension_point_1))) (let ((_let_18 (= tptp.lower_dimension_point_1 _let_17))) (let ((_let_19 (tptp.extension tptp.lower_dimension_point_1 tptp.lower_dimension_point_1 tptp.lower_dimension_point_1 tptp.lower_dimension_point_3))) (let ((_let_20 (tptp.continuous tptp.lower_dimension_point_1 tptp.lower_dimension_point_1 _let_17 tptp.lower_dimension_point_1 _let_19 tptp.lower_dimension_point_3))) (let ((_let_21 (tptp.equidistant tptp.lower_dimension_point_1 _let_20 tptp.lower_dimension_point_1 _let_17))) (let ((_let_22 (tptp.equidistant tptp.lower_dimension_point_1 _let_20 _let_17 _let_17))) (let ((_let_23 (tptp.between tptp.lower_dimension_point_1 _let_17 tptp.lower_dimension_point_1))) (let ((_let_24 (not _let_23))) (let ((_let_25 (or _let_24 _let_18))) (let ((_let_26 (_let_11))) (let ((_let_27 (ASSUME :args _let_26))) (let ((_let_28 (tptp.between tptp.lower_dimension_point_1 tptp.lower_dimension_point_1 tptp.lower_dimension_point_1))) (let ((_let_29 (not _let_28))) (let ((_let_30 (tptp.equidistant tptp.lower_dimension_point_1 tptp.lower_dimension_point_1 tptp.lower_dimension_point_1 tptp.lower_dimension_point_1))) (let ((_let_31 (not _let_30))) (let ((_let_32 (or _let_31 _let_31 _let_29 _let_29 _let_23))) (let ((_let_33 (_let_6))) (let ((_let_34 (ASSUME :args _let_33))) (let ((_let_35 (tptp.lower_dimension_point_1 tptp.lower_dimension_point_1 tptp.lower_dimension_point_1 tptp.lower_dimension_point_1 tptp.lower_dimension_point_1 tptp.lower_dimension_point_1 QUANTIFIERS_INST_ENUM))) (let ((_let_36 (tptp.extension tptp.lower_dimension_point_1 tptp.lower_dimension_point_1 tptp.lower_dimension_point_1 tptp.lower_dimension_point_1))) (let ((_let_37 (= tptp.lower_dimension_point_1 _let_36))) (let ((_let_38 (tptp.between tptp.lower_dimension_point_1 tptp.lower_dimension_point_1 _let_36))) (let ((_let_39 (tptp.equidistant tptp.lower_dimension_point_1 _let_36 tptp.lower_dimension_point_1 tptp.lower_dimension_point_1))) (let ((_let_40 (not _let_39))) (let ((_let_41 (or _let_40 _let_37))) (let ((_let_42 (_let_14))) (let ((_let_43 (ASSUME :args _let_42))) (let ((_let_44 ((not (= (tptp.equidistant X Y Z Z) false))))) (let ((_let_45 (_let_12))) (let ((_let_46 (ASSUME :args _let_45))) (let ((_let_47 (tptp.lower_dimension_point_1 tptp.lower_dimension_point_1 tptp.lower_dimension_point_1 tptp.lower_dimension_point_1 QUANTIFIERS_INST_ENUM))) (let ((_let_48 (_let_13))) (let ((_let_49 (ASSUME :args _let_48))) (let ((_let_50 (and _let_38 _let_37))) (let ((_let_51 (_let_38 _let_37))) (let ((_let_52 (ASSUME :args (_let_38)))) (let ((_let_53 (APPLY_UF tptp.between))) (let ((_let_54 (ASSUME :args (_let_37)))) (let ((_let_55 (REFL :args (tptp.lower_dimension_point_1)))) (let ((_let_56 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_50)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_52 _let_54) (SCOPE (TRUE_ELIM (TRANS (CONG _let_55 _let_55 (SYMM (SYMM _let_54)) :args _let_53) (TRUE_INTRO _let_52))) :args _let_51)) :args _let_51)) :args (true _let_50)) :args ((or _let_28 (not _let_38) (not _let_37)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args _let_47) :args _let_48)) _let_49 :args (_let_38 false _let_13)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_41)) :args ((or _let_40 _let_37 (not _let_41)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args _let_47) :args _let_45)) _let_46 :args (_let_39 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (tptp.lower_dimension_point_1 _let_36 tptp.lower_dimension_point_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_44)) :args _let_42)) _let_43 :args (_let_41 false _let_14)) :args (_let_37 false _let_39 false _let_41)) :args (_let_28 false _let_38 false _let_37)))) (let ((_let_57 (_let_16))) (let ((_let_58 (ASSUME :args _let_57))) (let ((_let_59 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args (tptp.lower_dimension_point_1 tptp.lower_dimension_point_1 QUANTIFIERS_INST_ENUM)) :args _let_57)) _let_58 :args (_let_30 false _let_16)))) (let ((_let_60 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_25)) :args ((or _let_24 _let_18 (not _let_25)))) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_32))) :args ((or _let_31 _let_29 _let_23 (not _let_32)))) _let_59 _let_56 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args _let_35) :args _let_33)) _let_34 :args (_let_32 false _let_6)) :args (_let_23 false _let_30 false _let_28 false _let_32)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (tptp.lower_dimension_point_1 _let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.between X Y X) false))))) :args _let_26)) _let_27 :args (_let_25 false _let_11)) :args (_let_18 false _let_23 false _let_25)))) (let ((_let_61 (tptp.equidistant tptp.lower_dimension_point_1 tptp.lower_dimension_point_1 tptp.lower_dimension_point_1 _let_17))) (let ((_let_62 (not _let_61))) (let ((_let_63 (tptp.equidistant tptp.lower_dimension_point_1 tptp.lower_dimension_point_1 tptp.lower_dimension_point_1 _let_20))) (let ((_let_64 (not _let_63))) (let ((_let_65 (or _let_64 _let_62 _let_21))) (let ((_let_66 (_let_15))) (let ((_let_67 (ASSUME :args _let_66))) (let ((_let_68 (tptp.between tptp.lower_dimension_point_1 tptp.lower_dimension_point_1 _let_19))) (let ((_let_69 (not _let_68))) (let ((_let_70 (tptp.equidistant tptp.lower_dimension_point_1 _let_19 tptp.lower_dimension_point_1 tptp.lower_dimension_point_3))) (let ((_let_71 (not _let_70))) (let ((_let_72 (or _let_62 _let_71 _let_69 _let_69 _let_63))) (let ((_let_73 (_let_5))) (let ((_let_74 (ASSUME :args _let_73))) (let ((_let_75 (tptp.lower_dimension_point_1 tptp.lower_dimension_point_1 tptp.lower_dimension_point_1 tptp.lower_dimension_point_3 QUANTIFIERS_INST_ENUM))) (let ((_let_76 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args _let_75) :args _let_45)) _let_46 :args (_let_70 false _let_12)))) (let ((_let_77 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args _let_75) :args _let_48)) _let_49 :args (_let_68 false _let_13)))) (let ((_let_78 (or _let_31 _let_31 _let_29 _let_29 _let_61))) (let ((_let_79 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_78))) :args ((or _let_31 _let_29 _let_61 (not _let_78)))) _let_59 _let_56 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args _let_35) :args _let_73)) _let_74 :args (_let_78 false _let_5)) :args (_let_61 false _let_30 false _let_28 false _let_78)))) (let ((_let_80 (= tptp.lower_dimension_point_1 _let_20))) (let ((_let_81 (not _let_22))) (let ((_let_82 (or _let_81 _let_80))) (let ((_let_83 (= _let_17 _let_20))) (let ((_let_84 (not _let_80))) (let ((_let_85 (tptp.between _let_17 _let_20 tptp.lower_dimension_point_3))) (let ((_let_86 (not _let_83))) (let ((_let_87 (or _let_62 _let_71 _let_69 _let_69 _let_85))) (let ((_let_88 (tptp.extension tptp.lower_dimension_point_2 tptp.lower_dimension_point_1 tptp.lower_dimension_point_1 tptp.lower_dimension_point_1))) (let ((_let_89 (tptp.between tptp.lower_dimension_point_2 tptp.lower_dimension_point_1 _let_88))) (let ((_let_90 (= tptp.lower_dimension_point_1 _let_88))) (let ((_let_91 (not _let_1))) (let ((_let_92 (tptp.equidistant tptp.lower_dimension_point_1 _let_88 tptp.lower_dimension_point_1 tptp.lower_dimension_point_1))) (let ((_let_93 (not _let_92))) (let ((_let_94 (or _let_93 _let_90))) (let ((_let_95 (tptp.lower_dimension_point_1 tptp.lower_dimension_point_2 tptp.lower_dimension_point_1 tptp.lower_dimension_point_1 QUANTIFIERS_INST_ENUM))) (let ((_let_96 (ASSUME :args (_let_8)))) (let ((_let_97 (or))) (let ((_let_98 (ASSUME :args (_let_89)))) (let ((_let_99 (ASSUME :args (_let_90)))) (let ((_let_100 (REFL :args (tptp.lower_dimension_point_2)))) (let ((_let_101 (ASSUME :args (_let_1)))) (let ((_let_102 (tptp.extension tptp.lower_dimension_point_1 tptp.lower_dimension_point_2 tptp.lower_dimension_point_1 tptp.lower_dimension_point_1))) (let ((_let_103 (= tptp.lower_dimension_point_2 _let_102))) (let ((_let_104 (tptp.between tptp.lower_dimension_point_1 tptp.lower_dimension_point_2 _let_102))) (let ((_let_105 (not _let_2))) (let ((_let_106 (tptp.equidistant tptp.lower_dimension_point_2 _let_102 tptp.lower_dimension_point_1 tptp.lower_dimension_point_1))) (let ((_let_107 (not _let_106))) (let ((_let_108 (or _let_107 _let_103))) (let ((_let_109 (ASSUME :args (_let_10)))) (let ((_let_110 (MACRO_SR_PRED_INTRO :args ((= (not _let_10) _let_9))))) (let ((_let_111 (ASSUME :args (_let_104)))) (let ((_let_112 (ASSUME :args (_let_103)))) (let ((_let_113 (ASSUME :args (_let_2)))) (let ((_let_114 (FALSE_INTRO _let_109))) (let ((_let_115 (_let_86))) (let ((_let_116 (REFL :args ((not _let_18))))) (let ((_let_117 (ASSUME :args (_let_3)))) (let ((_let_118 (ASSUME :args (_let_18)))) (let ((_let_119 (SYMM _let_118))) (let ((_let_120 (ASSUME :args (_let_83)))) (let ((_let_121 (ASSUME :args (_let_85)))) (let ((_let_122 (and _let_18 _let_86))) (let ((_let_123 (ASSUME :args _let_115))) (let ((_let_124 (REFL :args (_let_20)))) (let ((_let_125 (SYMM _let_119))) (let ((_let_126 (ASSUME :args (_let_81)))) (let ((_let_127 (ASSUME :args (_let_21)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_126 _let_118 _let_127) :args (_let_18 _let_21 _let_81)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_127)) (CONG _let_55 _let_124 _let_125 (REFL :args (_let_17)) :args (APPLY_UF tptp.equidistant)) (FALSE_INTRO _let_126))) :args (_let_81 _let_18 _let_21)) :args ((not (and _let_18 _let_21 _let_81)) SB_LITERAL))) (CONG _let_116 (REFL :args ((not _let_21))) (MACRO_SR_PRED_INTRO :args ((= (not _let_81) _let_22))) :args _let_97)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_82)) :args ((or _let_80 _let_81 (not _let_82)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_122)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_123 _let_118) (SCOPE (FALSE_ELIM (TRANS (CONG _let_125 _let_124 :args (=)) (FALSE_INTRO _let_123))) :args (_let_86 _let_18))) :args (_let_18 _let_86))) :args (true _let_122)) (CONG _let_116 (MACRO_SR_PRED_INTRO :args ((= (not _let_86) _let_83))) (REFL :args (_let_84)) :args _let_97)) _let_60 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_109 _let_117 _let_118 _let_120 _let_121) :args (_let_10 _let_3 _let_18 _let_85 _let_83)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_121)) (CONG _let_119 (TRANS (TRANS (SYMM _let_120) _let_119) (SYMM (SYMM _let_117))) (REFL :args (tptp.lower_dimension_point_3)) :args _let_53) _let_114)) :args (_let_10 _let_3 _let_18 _let_83 _let_85)) :args ((not (and _let_10 _let_3 _let_18 _let_85 _let_83)) SB_LITERAL))) (CONG _let_110 (REFL :args ((not _let_3))) _let_116 (REFL :args ((not _let_85))) (REFL :args _let_115) :args _let_97)) _let_109 (MACRO_RESOLUTION_TRUST (ASSUME :args (_let_4)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_111 _let_112 _let_113 _let_109) :args (_let_10 _let_2 _let_104 _let_103)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM _let_114) (CONG _let_55 _let_100 (SYMM _let_113) :args _let_53) (CONG _let_55 _let_100 (SYMM (SYMM _let_112)) :args _let_53) (TRUE_INTRO _let_111))) :args (_let_104 _let_103 _let_2 _let_10)) :args ((not (and _let_10 _let_2 _let_104 _let_103)) SB_LITERAL))) (CONG _let_110 (REFL :args (_let_105)) (REFL :args ((not _let_104))) (REFL :args ((not _let_103))) :args _let_97)) _let_109 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args _let_95) :args _let_48)) _let_49 :args (_let_104 false _let_13)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_108)) :args ((or _let_107 _let_103 (not _let_108)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (tptp.lower_dimension_point_2 tptp.lower_dimension_point_1 tptp.lower_dimension_point_1 tptp.lower_dimension_point_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.extension X Y W V)))) :args _let_45)) _let_46 :args (_let_106 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (tptp.lower_dimension_point_2 _let_102 tptp.lower_dimension_point_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_44)) :args _let_42)) _let_43 :args (_let_108 false _let_14)) :args (_let_103 false _let_106 false _let_108)) :args (_let_105 true _let_9 false _let_104 false _let_103)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_98 _let_99 _let_101 _let_96) :args (_let_8 _let_1 _let_90 _let_89)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_96)) (CONG _let_100 (SYMM _let_101) _let_55 :args _let_53) (CONG _let_100 _let_55 (SYMM (SYMM _let_99)) :args _let_53) (TRUE_INTRO _let_98))) :args (_let_89 _let_90 _let_1 _let_8)) :args ((not (and _let_8 _let_1 _let_90 _let_89)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_8) _let_7))) (REFL :args (_let_91)) (REFL :args ((not _let_90))) (REFL :args ((not _let_89))) :args _let_97)) _let_96 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_94)) :args ((or _let_93 _let_90 (not _let_94)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args _let_95) :args _let_45)) _let_46 :args (_let_92 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (tptp.lower_dimension_point_1 _let_88 tptp.lower_dimension_point_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_44)) :args _let_42)) _let_43 :args (_let_94 false _let_14)) :args (_let_90 false _let_92 false _let_94)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (tptp.lower_dimension_point_2 tptp.lower_dimension_point_1 tptp.lower_dimension_point_1 tptp.lower_dimension_point_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.extension X Y W V)))) :args _let_48)) _let_49 :args (_let_89 false _let_13)) :args (_let_91 true _let_7 false _let_90 false _let_89)) :args (_let_3 true _let_2 true _let_1)) _let_60 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_87))) :args ((or _let_62 _let_69 _let_71 _let_85 (not _let_87)))) _let_79 _let_77 _let_76 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (tptp.lower_dimension_point_1 tptp.lower_dimension_point_1 _let_17 _let_19 tptp.lower_dimension_point_3 tptp.lower_dimension_point_1 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.equidistant U X U X1) false)) (not (= (tptp.between V W X) false)) (not (= (tptp.equidistant U V U V1) false))))) :args _let_33)) _let_34 :args (_let_87 false _let_6)) :args (_let_85 false _let_61 false _let_68 false _let_70 false _let_87)) :args (_let_86 true _let_9 false _let_3 false _let_18 false _let_85)) :args (_let_84 false _let_18 true _let_83)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (tptp.lower_dimension_point_1 _let_20 _let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_44)) :args _let_42)) _let_43 :args (_let_82 false _let_14)) :args (_let_81 true _let_80 false _let_82)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_65)) :args ((or _let_62 _let_64 _let_21 (not _let_65)))) _let_79 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_72))) :args ((or _let_62 _let_69 _let_71 _let_63 (not _let_72)))) _let_79 _let_77 _let_76 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (tptp.lower_dimension_point_1 tptp.lower_dimension_point_1 _let_17 _let_19 tptp.lower_dimension_point_3 tptp.lower_dimension_point_1 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.equidistant U X U X1) false)) (not (= (tptp.equidistant U V U V1) false)) (not (= (tptp.between V W X) false))))) :args _let_73)) _let_74 :args (_let_72 false _let_5)) :args (_let_63 false _let_61 false _let_68 false _let_70 false _let_72)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (tptp.lower_dimension_point_1 tptp.lower_dimension_point_1 tptp.lower_dimension_point_1 _let_20 tptp.lower_dimension_point_1 _let_17 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.equidistant X Y Z V) false)) (not (= (tptp.equidistant X Y V2 W) false))))) :args _let_66)) _let_67 :args (_let_65 false _let_15)) :args (_let_21 false _let_61 false _let_63 false _let_65)) _let_60 :args (false true _let_22 false _let_21 false _let_18)) :args (_let_16 _let_15 _let_14 _let_13 _let_12 (forall ((X $$unsorted) (Y $$unsorted) (X1 $$unsorted) (Y1 $$unsorted) (Z $$unsorted) (Z1 $$unsorted) (V $$unsorted) (V1 $$unsorted)) (or (not (tptp.equidistant X Y X1 Y1)) (not (tptp.equidistant Y Z Y1 Z1)) (not (tptp.equidistant X V X1 V1)) (not (tptp.equidistant Y V Y1 V1)) (not (tptp.between X Y Z)) (not (tptp.between X1 Y1 Z1)) (= X Y) (tptp.equidistant Z V Z1 V1))) _let_11 (forall ((U $$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 $$unsorted)) (or (not (tptp.between U V W)) (not (tptp.between Y X W)) (tptp.between X (tptp.inner_pasch U V W X Y) U))) _let_10 _let_8 (not (tptp.between tptp.lower_dimension_point_3 tptp.lower_dimension_point_1 tptp.lower_dimension_point_2)) (forall ((X $$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)))) _let_6 _let_5 _let_4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.80/1.00 )
% 0.80/1.00 % SZS output end Proof for GEO036-2
% 0.80/1.01 % cvc5---1.0.5 exiting
% 0.80/1.01 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------