%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO011-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:51:11 AM UTC 2026
% Result : Unsatisfiable 3.39s 1.37s
% Output : Refutation 3.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 9 ( 6 unt; 0 def)
% Number of atoms : 15 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 13 ( 7 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 3 ( 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lower_dimension1) ).
fof(f11,axiom,
~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lower_dimension2) ).
fof(f12,axiom,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lower_dimension3) ).
fof(f22,axiom,
! [X2,X0,X1] :
( between(X2,X0,X1)
| between(X0,X1,X2)
| between(X1,X2,X0)
| ~ colinear(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',colinearity4) ).
fof(f105,negated_conjecture,
colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_lower_dimension_points_not_colinear) ).
fof(f130,plain,
( between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3)
| between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1)
| ~ colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3) ),
inference(resolution,[],[f22,f12]) ).
fof(f131,plain,
( between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1)
| ~ colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3) ),
inference(forward_subsumption_resolution,[],[f130,f10]) ).
fof(f134,plain,
~ colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
inference(forward_subsumption_resolution,[],[f131,f11]) ).
fof(f137,plain,
$false,
inference(forward_subsumption_resolution,[],[f134,f105]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO011-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n013.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 06:35:07 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.39/1.37 % (4061864)Input is clausal, will run a generic CNF schedule.
% 3.39/1.37 % (4061869)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1277908093:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.39/1.37 % (4061873)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=662994257:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.39/1.37 % (4061872)lrs+10_1_sil=8000:sp=occurrence:random_seed=4104356025:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.39/1.37 % (4061870)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=911016961:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.39/1.37 % (4061871)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=174683981:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.39/1.37 % (4061874)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1697103424:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.39/1.37 % (4061874)First to succeed.
% 3.39/1.37 % (4061874)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4061864"
% 3.39/1.37 % (4061872)Also succeeded, but the first one will report.
% 3.39/1.37 % (4061875)dis-21_1_sil=8000:lcm=predicate:random_seed=1298885456:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.39/1.37 % (4061873)Also succeeded, but the first one will report.
% 3.39/1.37 % (4061875)Also succeeded, but the first one will report.
% 3.39/1.37 % (4061874)Refutation found. Thanks to Tanya!
% 3.39/1.37 % SZS status Unsatisfiable for theBenchmark
% 3.39/1.37 % SZS output start Proof for theBenchmark
% See solution above
% 3.39/1.37 % (4061874)------------------------------
% 3.39/1.37 % (4061874)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.39/1.37 % (4061874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.39/1.37 % (4061874)CaDiCaL version: 2.1.3
% 3.39/1.37 % (4061874)Termination reason: Refutation
% 3.39/1.37 % (4061874)Time elapsed: 0.004 s
% 3.39/1.37 % (4061874)Peak memory usage: 88 MB
% 3.39/1.37 % (4061874)Instructions burned: 5 (million)
% 3.39/1.37 % (4061874)------------------------------
% 3.39/1.37 % (4061874)------------------------------
% 3.39/1.37 % (4061864)Success in time 0.418 s
% 3.39/1.37 % Vampire exiting
%------------------------------------------------------------------------------