%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO038-3 : 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 : n010.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 09:51:18 AM UTC 2026
% Result : Unsatisfiable 0.18s 1.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of formulae : 5 ( 5 unt; 0 def)
% Number of atoms : 5 ( 1 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 1 ( 1 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-4 aty)
% Number of variables : 4 ( 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X2,X3,X0,X1] : between(X0,X1,extension(X0,X1,X2,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',segment_construction1) ).
fof(f30,axiom,
y = extension(u,v,w,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',y_is_extension) ).
fof(f31,negated_conjecture,
~ between(u,v,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary) ).
fof(f34,plain,
between(u,v,y),
inference(superposition,[],[f4,f30]) ).
fof(f36,plain,
$false,
inference(forward_subsumption_resolution,[],[f34,f31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO038-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n010.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 06:40:31 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 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
% 0.18/1.50 % (585962)Input is clausal, will run a generic CNF schedule.
% 0.18/1.50 % (585969)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2678645266:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.18/1.50 % (585968)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=282143046:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.18/1.50 % (585967)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=3453205947:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.18/1.50 % (585970)lrs+10_1_sil=8000:sp=occurrence:random_seed=2250259954:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.18/1.50 % (585970)First to succeed.
% 0.18/1.50 % (585970)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-585962"
% 0.18/1.50 % (585971)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=109988886:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.18/1.50 % (585972)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3116449198:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.18/1.50 % (585973)dis-21_1_sil=8000:lcm=predicate:random_seed=3061831931: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)
% 0.18/1.50 % (585971)Also succeeded, but the first one will report.
% 0.18/1.50 % (585972)Also succeeded, but the first one will report.
% 0.18/1.50 % (585973)Refutation not found, incomplete strategy
% 0.18/1.50 % (585973)------------------------------
% 0.18/1.50 % (585973)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.50 % (585973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.50 % (585973)CaDiCaL version: 2.1.3
% 0.18/1.50 % (585973)Termination reason: Refutation not found, incomplete strategy
% 0.18/1.50 % (585973)Time elapsed: 0.002 s
% 0.18/1.50 % (585973)Peak memory usage: 87 MB
% 0.18/1.50 % (585973)Instructions burned: 1 (million)
% 0.18/1.50 % (585970)Refutation found. Thanks to Tanya!
% 0.18/1.50 % SZS status Unsatisfiable for theBenchmark
% 0.18/1.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/1.50 % (585970)------------------------------
% 0.18/1.50 % (585970)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.50 % (585970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.50 % (585970)CaDiCaL version: 2.1.3
% 0.18/1.50 % (585970)Termination reason: Refutation
% 0.18/1.50 % (585970)Time elapsed: 0.002 s
% 0.18/1.50 % (585970)Peak memory usage: 88 MB
% 0.18/1.50 % (585970)Instructions burned: 1 (million)
% 0.18/1.50 % (585970)------------------------------
% 0.18/1.50 % (585970)------------------------------
% 0.18/1.50 % (585962)Success in time 0.43 s
% 0.18/1.50 % Vampire exiting
%------------------------------------------------------------------------------