%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO027-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n017.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 09:53:19 AM UTC 2026
% Result : Unsatisfiable 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 13 ( 8 unt; 0 def)
% Number of atoms : 24 ( 11 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 20 ( 9 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-4 aty)
% Number of variables : 28 ( 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X2,X3,X0,X1] : between(X0,X1,extension(X0,X1,X2,X3)),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',segment_construction1) ).
fof(f5,axiom,
! [X2,X3,X0,X1] : equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',segment_construction2) ).
fof(f21,axiom,
! [X2,X3,X0,X1] :
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2) ).
fof(f43,axiom,
! [X2,X3,X0,X1] :
( ~ between(X0,X1,X3)
| ~ between(X0,X1,X2)
| ~ equidistant(X1,X2,X1,X3)
| X0 = X1
| X2 = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d9) ).
fof(f44,axiom,
between(u,v,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_u_and_w) ).
fof(f45,axiom,
u != v,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_not_v) ).
fof(f46,negated_conjecture,
w != extension(u,v,v,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_w_is_an_extension) ).
fof(f64,plain,
! [X2,X3,X0,X1] : equidistant(X0,X1,X2,extension(X3,X2,X0,X1)),
inference(resolution,[],[f21,f5]) ).
fof(f132,plain,
! [X2,X3,X0,X1,X4] :
( ~ equidistant(X1,X2,X1,extension(X0,X1,X3,X4))
| ~ between(X0,X1,X2)
| X0 = X1
| extension(X0,X1,X3,X4) = X2 ),
inference(resolution,[],[f43,f4]) ).
fof(f287,plain,
! [X2,X0,X1] :
( ~ between(X0,X1,X2)
| X0 = X1
| extension(X0,X1,X1,X2) = X2 ),
inference(resolution,[],[f132,f64]) ).
fof(f874,plain,
( u = v
| w = extension(u,v,v,w) ),
inference(resolution,[],[f287,f44]) ).
fof(f881,plain,
w = extension(u,v,v,w),
inference(forward_subsumption_resolution,[],[f874,f45]) ).
fof(f882,plain,
$false,
inference(forward_subsumption_resolution,[],[f881,f46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO027-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 % Computer : n017.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 06:32:50 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.44 Running first-order model finding
% 0.11/0.44 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.52 % (2189279)Will run a generic schedule for satisfiability detection.
% 0.19/0.52 % (2189286)% WARNING: option uhcvi not known.
% 0.19/0.52 % (2189288)dis+10_1_sil=32000:sp=arity:random_seed=2781366195:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.52 % (2189286)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=948775573:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.52 % (2189287)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=31123411:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.52 % (2189285)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3829773736_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.52 % (2189290)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4126840593:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.52 % (2189289)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=235069556:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.52 % (2189291)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=785067223:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.52 % TRYING [1]
% 0.19/0.52 % TRYING [2]
% 0.19/0.52 % TRYING [3]
% 0.19/0.52 % (2189286) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2189279-2189286"...
% 0.19/0.52 % (2189286)...printing done.
% 0.19/0.52 % (2189286)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (2189286)------------------------------
% 0.19/0.52 % (2189286)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.52 % (2189286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.52 % (2189286)CaDiCaL version: 2.1.3
% 0.19/0.52 % (2189286)Termination reason: Refutation
% 0.19/0.52 % (2189286)Time elapsed: 0.037 s
% 0.19/0.52 % (2189286)Peak memory usage: 12 MB
% 0.19/0.52 % (2189286)Instructions burned: 49 (million)
% 0.19/0.52 % (2189279)Success in time 0.064 s
% 0.19/0.52 % Vampire exiting
%------------------------------------------------------------------------------