TSTP Solution File: GEO069-3 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GEO069-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n023.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 0.44s 0.65s
% Output : Proof 0.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO069-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.03/0.13 % Command : do_cvc5 %s %d
% 0.13/0.33 % Computer : n023.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 29 23:51:09 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.18/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.18/0.48 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.js4oYkunZI/cvc5---1.0.5_24380.p...
% 0.18/0.50 ------- get file name : TPTP file name is GEO069-3
% 0.18/0.50 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_24380.smt2...
% 0.18/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.44/0.65 % SZS status Unsatisfiable for GEO069-3
% 0.44/0.65 % SZS output start Proof for GEO069-3
% 0.44/0.66 (
% 0.44/0.66 (let ((_let_1 (tptp.colinear tptp.x tptp.w tptp.v))) (let ((_let_2 (tptp.colinear tptp.x tptp.w tptp.u))) (let ((_let_3 (or (not _let_2) (not _let_1)))) (let ((_let_4 (tptp.colinear tptp.x tptp.v tptp.u))) (let ((_let_5 (tptp.colinear tptp.w tptp.v tptp.u))) (let ((_let_6 (not (= tptp.u tptp.v)))) (let ((_let_7 (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))))) (let ((_let_8 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.colinear U V W)) (tptp.colinear V W U))))) (let ((_let_9 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.colinear U V W)) (tptp.colinear W V U))))) (let ((_let_10 (tptp.colinear tptp.v tptp.x tptp.w))) (let ((_let_11 (not _let_10))) (let ((_let_12 (or _let_11 _let_1))) (let ((_let_13 (_let_8))) (let ((_let_14 (ASSUME :args _let_13))) (let ((_let_15 ((not (= (tptp.colinear V W U) true))))) (let ((_let_16 (= tptp.v tptp.u))) (let ((_let_17 (tptp.colinear tptp.v tptp.u tptp.w))) (let ((_let_18 (not _let_17))) (let ((_let_19 (tptp.colinear tptp.v tptp.u tptp.x))) (let ((_let_20 (not _let_19))) (let ((_let_21 (or _let_20 _let_18 _let_10 _let_16))) (let ((_let_22 (_let_7))) (let ((_let_23 (ASSUME :args _let_22))) (let ((_let_24 ((not (= (tptp.colinear U V W) false)) (not (= (tptp.colinear U V X) false))))) (let ((_let_25 (not _let_4))) (let ((_let_26 (or _let_25 _let_19))) (let ((_let_27 ((not (= (tptp.colinear U V W) false))))) (let ((_let_28 (ASSUME :args (_let_4)))) (let ((_let_29 (not _let_5))) (let ((_let_30 (or _let_29 _let_17))) (let ((_let_31 (ASSUME :args (_let_5)))) (let ((_let_32 (SYMM (ASSUME :args (_let_6))))) (let ((_let_33 (tptp.colinear tptp.u tptp.x tptp.w))) (let ((_let_34 (not _let_33))) (let ((_let_35 (or _let_34 _let_2))) (let ((_let_36 (tptp.colinear tptp.u tptp.v tptp.w))) (let ((_let_37 (not _let_36))) (let ((_let_38 (tptp.colinear tptp.u tptp.v tptp.x))) (let ((_let_39 (not _let_38))) (let ((_let_40 (or _let_39 _let_37 _let_33 _let_16))) (let ((_let_41 (or _let_25 _let_38))) (let ((_let_42 (_let_9))) (let ((_let_43 (ASSUME :args _let_42))) (let ((_let_44 ((not (= (tptp.colinear U V W) false))))) (let ((_let_45 (or _let_29 _let_36))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (ASSUME :args (_let_3)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_35)) :args ((or _let_2 _let_34 (not _let_35)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_40)) :args ((or _let_16 _let_33 _let_37 _let_39 (not _let_40)))) _let_32 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_45)) :args ((or _let_29 _let_36 (not _let_45)))) _let_31 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (tptp.w tptp.v tptp.u QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_44)) :args _let_42)) _let_43 :args (_let_45 false _let_9)) :args (_let_36 false _let_5 false _let_45)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_41)) :args ((or _let_25 _let_38 (not _let_41)))) _let_28 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (tptp.x tptp.v tptp.u QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_44)) :args _let_42)) _let_43 :args (_let_41 false _let_9)) :args (_let_38 false _let_4 false _let_41)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_23 :args (tptp.u tptp.v tptp.x tptp.w QUANTIFIERS_INST_E_MATCHING _let_24)) :args _let_22))) _let_23 :args (_let_40 false _let_7)) :args (_let_33 true _let_16 false _let_36 false _let_38 false _let_40)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (tptp.u tptp.x tptp.w QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_15)) :args _let_13)) _let_14 :args (_let_35 false _let_8)) :args (_let_2 false _let_33 false _let_35)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_12)) :args ((or _let_1 _let_11 (not _let_12)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_21)) :args ((or _let_16 _let_10 _let_18 _let_20 (not _let_21)))) _let_32 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_30)) :args ((or _let_29 _let_17 (not _let_30)))) _let_31 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (tptp.w tptp.v tptp.u QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_27)) :args _let_13)) _let_14 :args (_let_30 false _let_8)) :args (_let_17 false _let_5 false _let_30)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_26)) :args ((or _let_25 _let_19 (not _let_26)))) _let_28 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (tptp.x tptp.v tptp.u QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_27)) :args _let_13)) _let_14 :args (_let_26 false _let_8)) :args (_let_19 false _let_4 false _let_26)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (tptp.v tptp.u tptp.x tptp.w QUANTIFIERS_INST_E_MATCHING _let_24)) :args _let_22)) _let_23 :args (_let_21 false _let_7)) :args (_let_10 true _let_16 false _let_17 false _let_19 false _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (tptp.v tptp.x tptp.w QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_15)) :args _let_13)) _let_14 :args (_let_12 false _let_8)) :args (_let_1 false _let_10 false _let_12)) :args (false false _let_2 false _let_1)) :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 $$unsorted)) (or (not (tptp.equidistant U V U V1)) (not (tptp.equidistant U X U X1)) (not (tptp.between U V X)) (not (tptp.between V W X)) (tptp.equidistant U W U (tptp.continuous U V V1 W X X1)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.between X Y Z)) (tptp.colinear X Y Z))) (forall ((Y $$unsorted) (Z $$unsorted) (X $$unsorted)) (or (not (tptp.between Y Z X)) (tptp.colinear X Y Z))) (forall ((Z $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.between Z X Y)) (tptp.colinear X Y Z))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.colinear X Y Z)) (tptp.between X Y Z) (tptp.between Y Z X) (tptp.between Z X Y))) (forall ((U $$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 $$unsorted)) (or (not (tptp.between U V W)) (not (tptp.equidistant U V U W)) (= V W))) (forall ((W $$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))) _let_9 _let_8 (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))) _let_7 (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))) _let_6 _let_5 _let_4 _let_3))))))))))))))))))))))))))))))))))))))))))))))))
% 0.44/0.66 )
% 0.46/0.66 % SZS output end Proof for GEO069-3
% 0.46/0.66 % cvc5---1.0.5 exiting
% 0.46/0.66 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------