%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO011-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 1.87s 1.40s
% Output : Refutation 1.87s
% 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 : 10 ( 4 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 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/sandbox2/benchmark/theBenchmark.p',lower_dimension1) ).
fof(f11,axiom,
~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lower_dimension2) ).
fof(f12,axiom,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lower_dimension3) ).
fof(f22,axiom,
! [X2,X0,X1] :
( ~ colinear(X0,X1,X2)
| between(X0,X1,X2)
| between(X1,X2,X0)
| between(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',colinearity4) ).
fof(f23,negated_conjecture,
colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_lower_dimension_points_not_colinear) ).
fof(f24,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)
| between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2) ),
inference(resolution,[],[f22,f23]) ).
fof(f25,plain,
( between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1)
| between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2) ),
inference(forward_subsumption_resolution,[],[f24,f10]) ).
fof(f26,plain,
between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
inference(forward_subsumption_resolution,[],[f25,f11]) ).
fof(f27,plain,
$false,
inference(forward_subsumption_resolution,[],[f26,f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO011-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n020.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 06:36:34 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.87/1.40 % (3049595)Input is clausal, will run a generic CNF schedule.
% 1.87/1.40 % (3049601)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=60441545:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 1.87/1.40 % (3049603)lrs+10_1_sil=8000:sp=occurrence:random_seed=1269652009:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 1.87/1.40 % (3049602)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=191735042:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 1.87/1.40 % (3049600)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=315097355:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 1.87/1.40 % (3049604)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3454995166:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 1.87/1.40 % (3049605)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1194221076:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 1.87/1.40 % (3049606)dis-21_1_sil=8000:lcm=predicate:random_seed=2427163021: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)
% 1.87/1.40 % (3049604)Also succeeded, but the first one will report.
% 1.87/1.40 % (3049603)First to succeed.
% 1.87/1.40 % (3049605)Also succeeded, but the first one will report.
% 1.87/1.40 % (3049603)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3049595"
% 1.87/1.40 % (3049606)Also succeeded, but the first one will report.
% 1.87/1.40 % (3049603)Refutation found. Thanks to Tanya!
% 1.87/1.40 % SZS status Unsatisfiable for theBenchmark
% 1.87/1.40 % SZS output start Proof for theBenchmark
% See solution above
% 1.87/1.40 % (3049603)------------------------------
% 1.87/1.40 % (3049603)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.87/1.40 % (3049603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/1.40 % (3049603)CaDiCaL version: 2.1.3
% 1.87/1.40 % (3049603)Termination reason: Refutation
% 1.87/1.40 % (3049603)Time elapsed: 0.001 s
% 1.87/1.40 % (3049603)Peak memory usage: 88 MB
% 1.87/1.40 % (3049603)------------------------------
% 1.87/1.40 % (3049603)------------------------------
% 1.87/1.40 % (3049595)Success in time 0.437 s
% 1.87/1.40 % Vampire exiting
%------------------------------------------------------------------------------