%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO047-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 09:51:20 AM UTC 2026
% Result : Unsatisfiable 2.69s 1.36s
% Output : Refutation 2.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 11 ( 7 unt; 0 def)
% Number of atoms : 16 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 16 ( 11 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 9 ( 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f53,axiom,
! [X2,X0,X1] :
( between(X2,X1,X0)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1) ).
fof(f63,axiom,
! [X2,X3,X0,X1] :
( between(X0,X3,X2)
| ~ between(X1,X3,X2)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b8) ).
fof(f64,axiom,
between(u,v,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_between_u_and_w) ).
fof(f65,axiom,
between(u,w,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',w_between_u_and_x) ).
fof(f66,negated_conjecture,
~ between(u,v,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_v_between_u_and_x) ).
fof(f73,plain,
~ between(x,v,u),
inference(resolution,[],[f53,f66]) ).
fof(f167,plain,
! [X0] :
( ~ between(x,X0,u)
| ~ between(X0,v,u) ),
inference(resolution,[],[f63,f73]) ).
fof(f300,plain,
! [X0] :
( ~ between(u,X0,x)
| ~ between(X0,v,u) ),
inference(resolution,[],[f167,f53]) ).
fof(f534,plain,
~ between(w,v,u),
inference(resolution,[],[f300,f65]) ).
fof(f568,plain,
~ between(u,v,w),
inference(resolution,[],[f534,f53]) ).
fof(f569,plain,
$false,
inference(forward_subsumption_resolution,[],[f568,f64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO047-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n018.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 06:44:53 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
% 2.69/1.36 % (1972352)Input is clausal, will run a generic CNF schedule.
% 2.69/1.36 % (1972361)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3506155451:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.69/1.36 % (1972361)First to succeed.
% 2.69/1.36 % (1972361)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1972352"
% 2.69/1.36 % (1972362)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=948800419:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.69/1.36 % (1972359)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=885169160:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.69/1.36 % (1972357)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=4006521381:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.69/1.36 % (1972358)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1920340392:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.69/1.36 % (1972360)lrs+10_1_sil=8000:sp=occurrence:random_seed=2333506038:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.69/1.36 % (1972363)dis-21_1_sil=8000:lcm=predicate:random_seed=2909132158: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)
% 2.69/1.36 % (1972360)Also succeeded, but the first one will report.
% 2.69/1.36 % (1972362)Also succeeded, but the first one will report.
% 2.69/1.36 % (1972363)Instruction limit reached!
% 2.69/1.36 % (1972363)------------------------------
% 2.69/1.36 % (1972363)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.69/1.36 % (1972363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/1.36 % (1972363)CaDiCaL version: 2.1.3
% 2.69/1.36 % (1972363)Termination reason: Instruction limit
% 2.69/1.36 % (1972363)Termination phase: Saturation
% 2.69/1.36 % (1972363)Time elapsed: 0.067 s
% 2.69/1.36 % (1972363)Peak memory usage: 88 MB
% 2.69/1.36 % (1972363)Instructions burned: 118 (million)
% 2.69/1.36 % (1972361)Refutation found. Thanks to Tanya!
% 2.69/1.36 % SZS status Unsatisfiable for theBenchmark
% 2.69/1.36 % SZS output start Proof for theBenchmark
% See solution above
% 2.69/1.36 % (1972361)------------------------------
% 2.69/1.36 % (1972361)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.69/1.36 % (1972361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/1.36 % (1972361)CaDiCaL version: 2.1.3
% 2.69/1.36 % (1972361)Termination reason: Refutation
% 2.69/1.36 % (1972361)Time elapsed: 0.009 s
% 2.69/1.36 % (1972361)Peak memory usage: 88 MB
% 2.69/1.36 % (1972361)Instructions burned: 23 (million)
% 2.69/1.36 % (1972361)------------------------------
% 2.69/1.36 % (1972361)------------------------------
% 2.69/1.36 % (1972352)Success in time 0.301 s
% 2.69/1.36 % Vampire exiting
%------------------------------------------------------------------------------