TSTP Solution File: GEO010-3 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GEO010-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n011.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 22:49:09 EDT 2023
% Result : Unsatisfiable 0.21s 0.57s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : GEO010-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.11/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n011.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 21:17:57 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.50 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.aG4vYEWNKF/cvc5---1.0.5_20845.p...
% 0.21/0.51 ------- get file name : TPTP file name is GEO010-3
% 0.21/0.52 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_20845.smt2...
% 0.21/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.57 % SZS status Unsatisfiable for GEO010-3
% 0.21/0.57 % SZS output start Proof for GEO010-3
% 0.21/0.58 (
% 0.21/0.58 (let ((_let_1 (tptp.colinear tptp.c tptp.b tptp.a))) (let ((_let_2 (tptp.colinear tptp.c tptp.a tptp.b))) (let ((_let_3 (tptp.colinear tptp.b tptp.c tptp.a))) (let ((_let_4 (tptp.colinear tptp.b tptp.a tptp.c))) (let ((_let_5 (tptp.colinear tptp.a tptp.c tptp.b))) (let ((_let_6 (or (not _let_5) (not _let_4) (not _let_3) (not _let_2) (not _let_1)))) (let ((_let_7 (tptp.colinear tptp.a tptp.b tptp.c))) (let ((_let_8 (forall ((V $$unsorted) (U $$unsorted) (W $$unsorted)) (or (not (tptp.between V U W)) (tptp.colinear U V W))))) (let ((_let_9 (forall ((U $$unsorted) (W $$unsorted) (V $$unsorted)) (or (not (tptp.between U W V)) (tptp.colinear U V W))))) (let ((_let_10 (forall ((W $$unsorted) (V $$unsorted) (U $$unsorted)) (or (not (tptp.between W V U)) (tptp.colinear U V W))))) (let ((_let_11 (forall ((X $$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_12 (forall ((Z $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.between Z X Y)) (tptp.colinear X Y Z))))) (let ((_let_13 (forall ((Y $$unsorted) (Z $$unsorted) (X $$unsorted)) (or (not (tptp.between Y Z X)) (tptp.colinear X Y Z))))) (let ((_let_14 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.between X Y Z)) (tptp.colinear X Y Z))))) (let ((_let_15 (tptp.between tptp.c tptp.a tptp.b))) (let ((_let_16 (not _let_15))) (let ((_let_17 (or _let_16 _let_2))) (let ((_let_18 (_let_14))) (let ((_let_19 (ASSUME :args _let_18))) (let ((_let_20 ((not (= (tptp.colinear X Y Z) true))))) (let ((_let_21 (tptp.between tptp.b tptp.c tptp.a))) (let ((_let_22 (tptp.between tptp.a tptp.b tptp.c))) (let ((_let_23 (not _let_7))) (let ((_let_24 (or _let_23 _let_22 _let_21 _let_15))) (let ((_let_25 (_let_11))) (let ((_let_26 (ASSUME :args _let_25))) (let ((_let_27 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (tptp.a tptp.b tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.colinear X Y Z) false))))) :args _let_25)) _let_26 :args (_let_24 false _let_11)))) (let ((_let_28 (not _let_22))) (let ((_let_29 (or _let_28 _let_2))) (let ((_let_30 (or _let_28 _let_3))) (let ((_let_31 (or _let_28 _let_1))) (let ((_let_32 (or _let_28 _let_4))) (let ((_let_33 (_let_13))) (let ((_let_34 (ASSUME :args _let_33))) (let ((_let_35 ((not (= (tptp.colinear X Y Z) true))))) (let ((_let_36 (_let_12))) (let ((_let_37 (ASSUME :args _let_36))) (let ((_let_38 ((not (= (tptp.colinear X Y Z) true))))) (let ((_let_39 (_let_10))) (let ((_let_40 (ASSUME :args _let_39))) (let ((_let_41 ((not (= (tptp.colinear U V W) true))))) (let ((_let_42 (_let_8))) (let ((_let_43 (ASSUME :args _let_42))) (let ((_let_44 ((not (= (tptp.colinear U V W) true))))) (let ((_let_45 (not _let_21))) (let ((_let_46 (or _let_45 _let_5))) (let ((_let_47 (or _let_28 _let_5))) (let ((_let_48 (or _let_16 _let_5))) (let ((_let_49 (_let_9))) (let ((_let_50 (ASSUME :args _let_49))) (let ((_let_51 ((not (= (tptp.colinear U V W) true))))) (let ((_let_52 (ASSUME :args (_let_7)))) (let ((_let_53 (REORDERING (CNF_OR_POS :args (_let_24)) :args ((or _let_23 _let_21 _let_15 _let_22 (not _let_24)))))) (let ((_let_54 (MACRO_RESOLUTION_TRUST _let_53 _let_27 _let_52 (REORDERING (CNF_OR_POS :args (_let_48)) :args ((or _let_5 _let_16 (not _let_48)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (tptp.c tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_44)) :args _let_42)) _let_43 :args (_let_48 false _let_8)) (REORDERING (CNF_OR_POS :args (_let_47)) :args ((or _let_5 _let_28 (not _let_47)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (tptp.a tptp.b tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_51)) :args _let_49)) _let_50 :args (_let_47 false _let_9)) (REORDERING (CNF_OR_POS :args (_let_46)) :args ((or _let_5 _let_45 (not _let_46)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (tptp.b tptp.c tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_41)) :args _let_39)) _let_40 :args (_let_46 false _let_10)) :args (_let_5 false _let_24 false _let_7 true _let_15 false _let_48 true _let_22 false _let_47 true _let_21 false _let_46)))) (let ((_let_55 (ASSUME :args (_let_6)))) (let ((_let_56 (MACRO_RESOLUTION_TRUST _let_55 _let_54 (REORDERING (CNF_OR_POS :args (_let_32)) :args ((or _let_4 _let_28 (not _let_32)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (tptp.a tptp.b tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_44)) :args _let_42)) _let_43 :args (_let_32 false _let_8)) (REORDERING (CNF_OR_POS :args (_let_31)) :args ((or _let_1 _let_28 (not _let_31)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (tptp.a tptp.b tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_41)) :args _let_39)) _let_40 :args (_let_31 false _let_10)) (REORDERING (CNF_OR_POS :args (_let_30)) :args ((or _let_3 _let_28 (not _let_30)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (tptp.a tptp.b tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_38)) :args _let_36)) _let_37 :args (_let_30 false _let_12)) (REORDERING (CNF_OR_POS :args (_let_29)) :args ((or _let_2 _let_28 (not _let_29)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (tptp.a tptp.b tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_35)) :args _let_33)) _let_34 :args (_let_29 false _let_13)) :args (_let_28 false _let_5 false _let_4 false _let_32 false _let_1 false _let_31 false _let_3 false _let_30 false _let_2 false _let_29)))) (let ((_let_57 (or _let_45 _let_2))) (let ((_let_58 (or _let_45 _let_4))) (let ((_let_59 (or _let_45 _let_1))) (let ((_let_60 (or _let_45 _let_3))) (let ((_let_61 (or _let_16 _let_3))) (let ((_let_62 (MACRO_RESOLUTION_TRUST _let_53 _let_56 _let_27 _let_52 (REORDERING (CNF_OR_POS :args (_let_61)) :args ((or _let_3 _let_16 (not _let_61)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (tptp.c tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_35)) :args _let_33)) _let_34 :args (_let_61 false _let_13)) (REORDERING (CNF_OR_POS :args (_let_60)) :args ((or _let_3 _let_45 (not _let_60)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (tptp.b tptp.c tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_20)) :args _let_18)) _let_19 :args (_let_60 false _let_14)) :args (_let_3 true _let_22 false _let_24 false _let_7 true _let_15 false _let_61 true _let_21 false _let_60)))) (let ((_let_63 (MACRO_RESOLUTION_TRUST _let_53 _let_52 (MACRO_RESOLUTION_TRUST _let_55 _let_54 _let_62 (REORDERING (CNF_OR_POS :args (_let_59)) :args ((or _let_1 _let_45 (not _let_59)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (tptp.b tptp.c tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_44)) :args _let_42)) _let_43 :args (_let_59 false _let_8)) (REORDERING (CNF_OR_POS :args (_let_58)) :args ((or _let_4 _let_45 (not _let_58)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (tptp.b tptp.c tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_51)) :args _let_49)) _let_50 :args (_let_58 false _let_9)) (REORDERING (CNF_OR_POS :args (_let_57)) :args ((or _let_2 _let_45 (not _let_57)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (tptp.b tptp.c tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_38)) :args _let_36)) _let_37 :args (_let_57 false _let_12)) :args (_let_45 false _let_5 false _let_3 false _let_1 false _let_59 false _let_4 false _let_58 false _let_2 false _let_57)) _let_56 _let_27 :args (_let_15 false _let_7 true _let_21 true _let_22 false _let_24)))) (let ((_let_64 (or _let_16 _let_4))) (let ((_let_65 (or _let_16 _let_1))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_55 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_65)) :args ((or _let_1 _let_16 (not _let_65)))) _let_63 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (tptp.c tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_51)) :args _let_49)) _let_50 :args (_let_65 false _let_9)) :args (_let_1 false _let_15 false _let_65)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_64)) :args ((or _let_4 _let_16 (not _let_64)))) _let_63 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (tptp.c tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_41)) :args _let_39)) _let_40 :args (_let_64 false _let_10)) :args (_let_4 false _let_15 false _let_64)) _let_54 _let_62 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_17)) :args ((or _let_2 _let_16 (not _let_17)))) _let_63 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (tptp.c tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_20)) :args _let_18)) _let_19 :args (_let_17 false _let_14)) :args (_let_2 false _let_15 false _let_17)) :args (false false _let_1 false _let_4 false _let_5 false _let_3 false _let_2)) :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_14 _let_13 _let_12 _let_11 (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)) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.equidistant U V W X)) (tptp.equidistant W X U V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.equidistant U V W X)) (tptp.equidistant V U W X))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.equidistant U V W X)) (tptp.equidistant U V X W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.equidistant U V W X)) (tptp.equidistant V U X W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.equidistant U V W X)) (tptp.equidistant W X V U))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.equidistant U V W X)) (tptp.equidistant X W U V))) (forall ((U $$unsorted) (V $$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)) (forall ((U $$unsorted) (W $$unsorted) (X $$unsorted) (V $$unsorted)) (or (not (tptp.between U W X)) (not (= U X)) (tptp.between V W X))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.between U V W)) (tptp.between W V U))) (forall ((U $$unsorted) (V $$unsorted)) (tptp.between U U V)) (forall ((U $$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 $$unsorted)) (let ((_let_1 (tptp.between U V W))) (or (not _let_1) (not (tptp.between V W X)) _let_1))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.between U V W)) (not (tptp.between U W X)) (tptp.between V W X))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.between U V W)) (not (tptp.between V W X)) (tptp.between U W X) (= V W))) (forall ((U $$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)))) (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))) (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))) (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))) (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))) _let_10 _let_9 _let_8 _let_7 _let_6))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.58 )
% 0.21/0.58 % SZS output end Proof for GEO010-3
% 0.21/0.59 % cvc5---1.0.5 exiting
% 0.21/0.59 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------