%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO064-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 09:51:25 AM UTC 2026
% Result : Unsatisfiable 3.63s 1.48s
% Output : Refutation 3.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 7 ( 5 unt; 0 def)
% Number of atoms : 9 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 5 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 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 : 6 ( 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f19,axiom,
! [X2,X0,X1] :
( colinear(X0,X1,X2)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',colinearity1) ).
fof(f58,axiom,
! [X2,X0,X1] :
( between(X2,X1,X0)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1) ).
fof(f97,axiom,
between(w,v,u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_w_and_u) ).
fof(f98,negated_conjecture,
~ colinear(u,v,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_uvw_colinear) ).
fof(f162,plain,
~ between(u,v,w),
inference(resolution,[],[f19,f98]) ).
fof(f171,plain,
~ between(w,v,u),
inference(resolution,[],[f58,f162]) ).
fof(f174,plain,
$false,
inference(resolution,[],[f171,f97]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO064-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.42 % Computer : n008.cluster.edu
% 0.15/0.42 % Model : x86_64 x86_64
% 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42 % Memory : 8046.5625MB
% 0.15/0.42 % OS : Linux 6.8.0-71-generic
% 0.15/0.42 % CPULimit : 300
% 0.15/0.42 % WCLimit : 300
% 0.15/0.42 % DateTime : Sun Sep 27 06:48:09 UTC 2026
% 0.15/0.43 % CPUTime :
% 0.15/0.43 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 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
% 3.63/1.48 % (877215)Input is clausal, will run a generic CNF schedule.
% 3.63/1.48 % (877226)dis-21_1_sil=8000:lcm=predicate:random_seed=385674990: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)
% 3.63/1.48 % (877226)First to succeed.
% 3.63/1.48 % (877226)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-877215"
% 3.63/1.48 % (877220)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=120304001:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.63/1.48 % (877225)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3998855431:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.63/1.48 % (877224)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2224877398:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.63/1.48 % (877223)lrs+10_1_sil=8000:sp=occurrence:random_seed=2196620715:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.63/1.48 % (877221)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3440097868:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.63/1.48 % (877222)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3267398405:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.63/1.48 % (877223)Also succeeded, but the first one will report.
% 3.63/1.48 % (877224)Also succeeded, but the first one will report.
% 3.63/1.48 % (877225)Also succeeded, but the first one will report.
% 3.63/1.48 % (877226)Refutation found. Thanks to Tanya!
% 3.63/1.48 % SZS status Unsatisfiable for theBenchmark
% 3.63/1.48 % SZS output start Proof for theBenchmark
% See solution above
% 3.63/1.48 % (877226)------------------------------
% 3.63/1.48 % (877226)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.63/1.48 % (877226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/1.48 % (877226)CaDiCaL version: 2.1.3
% 3.63/1.48 % (877226)Termination reason: Refutation
% 3.63/1.48 % (877226)Time elapsed: 0.003 s
% 3.63/1.48 % (877226)Peak memory usage: 88 MB
% 3.63/1.48 % (877226)Instructions burned: 3 (million)
% 3.63/1.48 % (877226)------------------------------
% 3.63/1.48 % (877226)------------------------------
% 3.63/1.48 % (877215)Success in time 0.431 s
% 3.63/1.48 % Vampire exiting
%------------------------------------------------------------------------------