TSTP Solution File: GEO008-3 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GEO008-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n012.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 22:49:08 EDT 2023
% Result : Unsatisfiable 4.09s 4.31s
% Output : Proof 4.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13 % Problem : GEO008-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.10/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n012.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 21:18:08 EDT 2023
% 0.13/0.36 % CPUTime :
% 0.21/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.51 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.FTsEvUUNz8/cvc5---1.0.5_24541.p...
% 0.21/0.52 ------- get file name : TPTP file name is GEO008-3
% 0.21/0.53 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_24541.smt2...
% 0.21/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 4.09/4.31 % SZS status Unsatisfiable for GEO008-3
% 4.09/4.31 % SZS output start Proof for GEO008-3
% 4.09/4.32 (
% 4.09/4.32 (let ((_let_1 (tptp.between tptp.a tptp.b tptp.e))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.between tptp.c tptp.b tptp.d))) (let ((_let_4 (tptp.between tptp.a tptp.d tptp.e))) (let ((_let_5 (tptp.between tptp.a tptp.c tptp.e))) (let ((_let_6 (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_7 (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))))) (let ((_let_8 (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))))) (let ((_let_9 (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_10 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.between U V W)) (tptp.between W V U))))) (let ((_let_11 (tptp.between tptp.d tptp.c tptp.a))) (let ((_let_12 (tptp.between tptp.e tptp.c tptp.a))) (let ((_let_13 (not _let_12))) (let ((_let_14 (tptp.between tptp.e tptp.d tptp.c))) (let ((_let_15 (not _let_14))) (let ((_let_16 (or _let_15 _let_13 _let_11))) (let ((_let_17 (_let_9))) (let ((_let_18 (ASSUME :args _let_17))) (let ((_let_19 (not _let_16))) (let ((_let_20 (tptp.between tptp.e tptp.c tptp.d))) (let ((_let_21 (tptp.between tptp.e tptp.d tptp.a))) (let ((_let_22 (not _let_21))) (let ((_let_23 (or _let_13 _let_22 _let_20 _let_14))) (let ((_let_24 (_let_6))) (let ((_let_25 (ASSUME :args _let_24))) (let ((_let_26 (tptp.between tptp.e tptp.b tptp.d))) (let ((_let_27 (not _let_3))) (let ((_let_28 (not _let_20))) (let ((_let_29 (or _let_28 _let_27 _let_26))) (let ((_let_30 (_let_8))) (let ((_let_31 (ASSUME :args _let_30))) (let ((_let_32 ((not (= (tptp.between U V X) false)) (not (= (tptp.between V W X) false))))) (let ((_let_33 (tptp.between tptp.e tptp.b tptp.a))) (let ((_let_34 (not _let_26))) (let ((_let_35 (or _let_34 _let_22 _let_33))) (let ((_let_36 (_let_7))) (let ((_let_37 (ASSUME :args _let_36))) (let ((_let_38 (not (= (tptp.between U W X) false)))) (let ((_let_39 (not _let_4))) (let ((_let_40 (or _let_39 _let_21))) (let ((_let_41 (_let_10))) (let ((_let_42 (ASSUME :args _let_41))) (let ((_let_43 ((not (= (tptp.between U V W) false))))) (let ((_let_44 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_40)) :args ((or _let_39 _let_21 (not _let_40)))) (ASSUME :args (_let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.a tptp.d tptp.e QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_43)) :args _let_41)) _let_42 :args (_let_40 false _let_10)) :args (_let_21 false _let_4 false _let_40)))) (let ((_let_45 (not _let_33))) (let ((_let_46 (or _let_45 _let_1))) (let ((_let_47 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_46)) :args ((or _let_1 _let_45 (not _let_46)))) (ASSUME :args (_let_2)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.e tptp.b tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.between W V U) true))))) :args _let_41)) _let_42 :args (_let_46 false _let_10)) :args (_let_45 true _let_1 false _let_46)))) (let ((_let_48 (ASSUME :args (_let_3)))) (let ((_let_49 (not _let_5))) (let ((_let_50 (or _let_49 _let_12))) (let ((_let_51 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_50)) :args ((or _let_49 _let_12 (not _let_50)))) (ASSUME :args (_let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.a tptp.c tptp.e QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_43)) :args _let_41)) _let_42 :args (_let_50 false _let_10)) :args (_let_12 false _let_5 false _let_50)))) (let ((_let_52 (tptp.between tptp.d tptp.b tptp.a))) (let ((_let_53 (not _let_11))) (let ((_let_54 (tptp.between tptp.d tptp.b tptp.c))) (let ((_let_55 (not _let_54))) (let ((_let_56 (or _let_55 _let_53 _let_52))) (let ((_let_57 (not _let_52))) (let ((_let_58 (or _let_22 _let_57 _let_33))) (let ((_let_59 (or _let_27 _let_54))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_18 :args (tptp.e tptp.d tptp.c tptp.a QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.between U W X) false)) (not (= (tptp.between V W X) true))))) :args _let_17)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_16)) :args ((or _let_13 _let_11 _let_15 _let_19))) _let_51 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_56)) :args ((or _let_55 _let_53 _let_52 (not _let_56)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_59)) :args ((or _let_27 _let_54 (not _let_59)))) _let_48 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.c tptp.b tptp.d QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_43)) :args _let_41)) _let_42 :args (_let_59 false _let_10)) :args (_let_54 false _let_3 false _let_59)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_58)) :args ((or _let_33 _let_22 _let_57 (not _let_58)))) _let_47 _let_44 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (tptp.e tptp.d tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING _let_32)) :args _let_30)) _let_31 :args (_let_58 false _let_8)) :args (_let_57 true _let_33 false _let_21 false _let_58)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (tptp.d tptp.b tptp.c tptp.a QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.between U V W) false)) _let_38))) :args _let_36)) _let_37 :args (_let_56 false _let_7)) :args (_let_53 false _let_54 true _let_52 false _let_56)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_23)) :args ((or _let_13 _let_22 _let_20 _let_14 (not _let_23)))) _let_51 _let_44 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_29)) :args ((or _let_27 _let_28 _let_26 (not _let_29)))) _let_48 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_35)) :args ((or _let_33 _let_22 _let_34 (not _let_35)))) _let_47 _let_44 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (tptp.e tptp.b tptp.d tptp.a QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.between U V X) true)) _let_38))) :args _let_36)) _let_37 :args (_let_35 false _let_7)) :args (_let_34 true _let_33 false _let_21 false _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (tptp.e tptp.c tptp.d tptp.b QUANTIFIERS_INST_E_MATCHING _let_32)) :args _let_30)) _let_31 :args (_let_29 false _let_8)) :args (_let_28 false _let_3 true _let_26 false _let_29)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (tptp.e tptp.c tptp.a tptp.d QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.between U V X) false)) (not (= (tptp.between U W X) false))))) :args _let_24)) _let_25 :args (_let_23 false _let_6)) :args (_let_14 false _let_12 false _let_21 true _let_20 false _let_23)) :args (_let_19 false _let_12 true _let_11 false _let_14)) _let_18 :args (false true _let_16 false _let_9)) :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)))) (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))) _let_10 (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))) _let_9 (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))) _let_8 _let_7 (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 $$unsorted)) (or (not (tptp.between U W X)) (not (tptp.between V W X)) (= W X) (tptp.between U V W) (tptp.between V U W))) _let_6 (forall ((U $$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_5 _let_4 _let_3 _let_2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 4.09/4.32 )
% 4.09/4.33 % SZS output end Proof for GEO008-3
% 4.09/4.33 % cvc5---1.0.5 exiting
% 4.09/4.33 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------