%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO053-3 : 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 : n006.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 09:51:22 AM UTC 2026
% Result : Unsatisfiable 2.63s 1.32s
% Output : Refutation 2.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of formulae : 28 ( 15 unt; 0 def)
% Number of atoms : 54 ( 3 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 54 ( 28 ~; 26 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 40 ( 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : equidistant(X0,X1,X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_for_equidistance) ).
fof(f22,axiom,
! [X2,X3,X0,X1] :
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2) ).
fof(f23,axiom,
! [X2,X3,X0,X1] :
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X1,X0,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3) ).
fof(f52,axiom,
! [X0,X1] : between(X0,X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3) ).
fof(f54,axiom,
! [X2,X0,X1] :
( ~ between(X0,X1,X2)
| between(X2,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1) ).
fof(f55,axiom,
! [X0,X1] : between(X0,X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2) ).
fof(f56,axiom,
! [X2,X0,X1] :
( ~ between(X1,X0,X2)
| ~ between(X0,X1,X2)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b2) ).
fof(f76,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,X2,X3,X5)
| ~ between(X3,X4,X5)
| ~ equidistant(X0,X1,X3,X4)
| ~ between(X0,X1,X2)
| equidistant(X1,X2,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d13) ).
fof(f85,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X1,X4,X3,X5)
| ~ equidistant(X0,X1,X2,X3)
| ~ equidistant(X0,X4,X2,X5)
| ~ between(X0,X1,X4)
| between(X2,X3,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b11) ).
fof(f92,axiom,
between(u,v,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_u_and_w) ).
fof(f93,axiom,
equidistant(u,v,u,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_to_v_equals_u_to_w) ).
fof(f94,negated_conjecture,
v != w,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_v_equals_w) ).
fof(f101,plain,
between(w,v,u),
inference(resolution,[],[f54,f92]) ).
fof(f107,plain,
equidistant(u,w,u,v),
inference(resolution,[],[f22,f93]) ).
fof(f112,plain,
equidistant(v,u,u,w),
inference(resolution,[],[f23,f93]) ).
fof(f113,plain,
equidistant(w,u,u,v),
inference(resolution,[],[f23,f107]) ).
fof(f118,plain,
equidistant(u,w,v,u),
inference(resolution,[],[f112,f22]) ).
fof(f187,plain,
( ~ between(v,w,u)
| v = w ),
inference(resolution,[],[f56,f101]) ).
fof(f188,plain,
~ between(v,w,u),
inference(forward_subsumption_resolution,[],[f187,f94]) ).
fof(f368,plain,
! [X2,X3,X0,X1] :
( ~ equidistant(X2,X3,X0,X1)
| ~ between(X0,X1,X2)
| ~ between(X2,X3,X0)
| equidistant(X3,X0,X1,X2) ),
inference(resolution,[],[f76,f1]) ).
fof(f382,plain,
! [X2,X3,X0,X1] :
( ~ equidistant(X0,X3,X2,X1)
| ~ equidistant(X0,X1,X2,X3)
| ~ between(X0,X1,X3)
| between(X2,X3,X1) ),
inference(resolution,[],[f85,f1]) ).
fof(f597,plain,
( ~ between(u,v,w)
| ~ between(w,u,u)
| equidistant(u,u,v,w) ),
inference(resolution,[],[f368,f113]) ).
fof(f601,plain,
( ~ between(w,u,u)
| equidistant(u,u,v,w) ),
inference(forward_subsumption_resolution,[],[f597,f92]) ).
fof(f604,plain,
equidistant(u,u,v,w),
inference(forward_subsumption_resolution,[],[f601,f52]) ).
fof(f628,plain,
( ~ equidistant(u,u,v,w)
| ~ between(u,u,w)
| between(v,w,u) ),
inference(resolution,[],[f382,f118]) ).
fof(f633,plain,
( ~ between(u,u,w)
| between(v,w,u) ),
inference(forward_subsumption_resolution,[],[f628,f604]) ).
fof(f635,plain,
between(v,w,u),
inference(forward_subsumption_resolution,[],[f633,f55]) ).
fof(f637,plain,
$false,
inference(forward_subsumption_resolution,[],[f635,f188]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO053-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.35 % Computer : n006.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sun Sep 27 06:44:25 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 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
% 2.63/1.32 % (2641118)Input is clausal, will run a generic CNF schedule.
% 2.63/1.32 % (2641126)lrs+10_1_sil=8000:sp=occurrence:random_seed=2503630577:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.63/1.32 % (2641126)First to succeed.
% 2.63/1.32 % (2641126)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2641118"
% 2.63/1.32 % (2641125)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=148182032:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.63/1.32 % (2641123)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=4259360180:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.63/1.32 % (2641124)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1316849206:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.63/1.32 % (2641127)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3138632305:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.63/1.32 % (2641129)dis-21_1_sil=8000:lcm=predicate:random_seed=984960596: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)
% 2.63/1.32 % (2641128)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1723711933:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.63/1.32 % (2641127)Instruction limit reached!
% 2.63/1.32 % (2641127)------------------------------
% 2.63/1.32 % (2641127)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.63/1.32 % (2641127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/1.32 % (2641127)CaDiCaL version: 2.1.3
% 2.63/1.32 % (2641127)Termination reason: Instruction limit
% 2.63/1.32 % (2641127)Termination phase: Saturation
% 2.63/1.32 % (2641127)Time elapsed: 0.065 s
% 2.63/1.32 % (2641127)Peak memory usage: 88 MB
% 2.63/1.32 % (2641127)Instructions burned: 115 (million)
% 2.63/1.32 % (2641129)Instruction limit reached!
% 2.63/1.32 % (2641129)------------------------------
% 2.63/1.32 % (2641129)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.63/1.32 % (2641129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/1.32 % (2641129)CaDiCaL version: 2.1.3
% 2.63/1.32 % (2641129)Termination reason: Instruction limit
% 2.63/1.32 % (2641129)Termination phase: Saturation
% 2.63/1.32 % (2641129)Time elapsed: 0.066 s
% 2.63/1.32 % (2641129)Peak memory usage: 88 MB
% 2.63/1.32 % (2641129)Instructions burned: 117 (million)
% 2.63/1.32 % (2641126)Refutation found. Thanks to Tanya!
% 2.63/1.32 % SZS status Unsatisfiable for theBenchmark
% 2.63/1.32 % SZS output start Proof for theBenchmark
% See solution above
% 2.63/1.32 % (2641126)------------------------------
% 2.63/1.32 % (2641126)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.63/1.32 % (2641126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/1.32 % (2641126)CaDiCaL version: 2.1.3
% 2.63/1.32 % (2641126)Termination reason: Refutation
% 2.63/1.32 % (2641126)Time elapsed: 0.009 s
% 2.63/1.32 % (2641126)Peak memory usage: 88 MB
% 2.63/1.32 % (2641126)Instructions burned: 24 (million)
% 2.63/1.32 % (2641126)------------------------------
% 2.63/1.32 % (2641126)------------------------------
% 2.63/1.32 % (2641118)Success in time 0.284 s
% 2.63/1.32 % Vampire exiting
%------------------------------------------------------------------------------