TSTP Solution File: GEO016-3 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GEO016-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n002.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 22:49:12 EDT 2023

% Result   : Unsatisfiable 0.20s 0.58s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : GEO016-3 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n002.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 23:14:20 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.20/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.50  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.e9fBiNBPVS/cvc5---1.0.5_19033.p...
% 0.20/0.50  ------- get file name : TPTP file name is GEO016-3
% 0.20/0.51  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_19033.smt2...
% 0.20/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.58  % SZS status Unsatisfiable for GEO016-3
% 0.20/0.58  % SZS output start Proof for GEO016-3
% 0.20/0.58  (
% 0.20/0.58  (let ((_let_1 (tptp.equidistant tptp.v tptp.u tptp.w tptp.x))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.equidistant tptp.u tptp.v tptp.w tptp.x))) (let ((_let_4 (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_5 (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_6 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.equidistant X Y Y X)))) (let ((_let_7 (tptp.equidistant tptp.u tptp.v tptp.v tptp.u))) (let ((_let_8 (_let_6))) (let ((_let_9 (ASSUME :args _let_8))) (let ((_let_10 (tptp.equidistant tptp.w tptp.x tptp.v tptp.u))) (let ((_let_11 (not _let_7))) (let ((_let_12 (not _let_3))) (let ((_let_13 (or _let_12 _let_11 _let_10))) (let ((_let_14 (_let_5))) (let ((_let_15 (ASSUME :args _let_14))) (let ((_let_16 (not _let_10))) (let ((_let_17 (or _let_16 _let_1))) (let ((_let_18 (_let_4))) (let ((_let_19 (ASSUME :args _let_18))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_9 :args (tptp.u tptp.v QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.equidistant X Y Y X) true))))) :args _let_8)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_13)) :args ((or _let_12 _let_10 _let_11 (not _let_13)))) (ASSUME :args (_let_3)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_17)) :args ((or _let_1 _let_16 (not _let_17)))) (ASSUME :args (_let_2)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (tptp.w tptp.x tptp.v tptp.u QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.equidistant W X U V) true))))) :args _let_18)) _let_19 :args (_let_17 false _let_4)) :args (_let_16 true _let_1 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_15 :args (tptp.u tptp.v tptp.w tptp.x tptp.v tptp.u QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.equidistant Z V V2 W) true)) (not (= (tptp.equidistant X Y Z V) false))))) :args _let_14)) _let_15 :args (_let_13 false _let_5)) :args (_let_11 false _let_3 true _let_10 false _let_13)) _let_9 :args (false true _let_7 false _let_6)) :args (_let_6 _let_5 (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.equidistant U V U V)) _let_4 _let_3 _let_2))))))))))))))))))))))
% 0.20/0.58  )
% 0.20/0.58  % SZS output end Proof for GEO016-3
% 0.20/0.58  % cvc5---1.0.5 exiting
% 0.20/0.59  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------