%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO039-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n019.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 09:53:22 AM UTC 2026
% Result : Unsatisfiable 0.18s 0.47s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 19 ( 15 unt; 0 def)
% Number of atoms : 23 ( 7 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 7 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-4 aty)
% Number of variables : 31 ( 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X2,X0,X1] :
( ~ equidistant(X0,X1,X2,X2)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',identity_for_equidistance) ).
fof(f4,axiom,
! [X2,X3,X0,X1] : between(X0,X1,extension(X0,X1,X2,X3)),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GEO002-0.ax',segment_construction2) ).
fof(f7,axiom,
! [X0,X1] :
( ~ between(X0,X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',identity_for_betweeness) ).
fof(f19,axiom,
between(u,w,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',w_between_u_and_x) ).
fof(f20,axiom,
u = x,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_is_x) ).
fof(f21,negated_conjecture,
~ between(v,w,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary) ).
fof(f22,plain,
between(x,w,x),
inference(definition_unfolding,[],[f19,f20]) ).
fof(f25,plain,
! [X2,X0,X1] :
( equidistant(X0,X1,X2,X2)
| X0 = X1 ),
inference(consistent_polarity_flipping,[],[f3]) ).
fof(f26,plain,
! [X2,X3,X0,X1] : ~ between(X0,X1,extension(X0,X1,X2,X3)),
inference(consistent_polarity_flipping,[],[f4]) ).
fof(f27,plain,
! [X2,X3,X0,X1] : ~ equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
inference(consistent_polarity_flipping,[],[f5]) ).
fof(f29,plain,
! [X0,X1] :
( between(X0,X1,X0)
| X0 = X1 ),
inference(consistent_polarity_flipping,[],[f7]) ).
fof(f41,plain,
~ between(x,w,x),
inference(consistent_polarity_flipping,[],[f22]) ).
fof(f42,plain,
between(v,w,x),
inference(consistent_polarity_flipping,[],[f21]) ).
fof(f43,plain,
w = x,
inference(resolution,[],[f29,f41]) ).
fof(f45,plain,
between(v,w,w),
inference(superposition,[],[f42,f43]) ).
fof(f48,plain,
! [X2,X0,X1] : extension(X1,X0,X2,X2) = X0,
inference(resolution,[],[f27,f25]) ).
fof(f50,plain,
! [X0,X1] : ~ between(X1,X0,X0),
inference(superposition,[],[f26,f48]) ).
fof(f52,plain,
$false,
inference(resolution,[],[f50,f45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO039-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 % Computer : n019.cluster.edu
% 0.11/0.40 % Model : x86_64 x86_64
% 0.11/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.40 % Memory : 8046.5625MB
% 0.11/0.40 % OS : Linux 6.8.0-71-generic
% 0.11/0.40 % CPULimit : 300
% 0.11/0.40 % WCLimit : 300
% 0.11/0.40 % DateTime : Sun Sep 27 06:41:19 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.43 Running first-order model finding
% 0.11/0.43 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.47 % (2746683)Will run a generic schedule for satisfiability detection.
% 0.18/0.47 % (2746694)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2435284568:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.47 % (2746694) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2746683-2746694"...
% 0.18/0.47 % (2746694)...printing done.
% 0.18/0.47 % (2746694)Refutation found. Thanks to Tanya!
% 0.18/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.47 % (2746694)------------------------------
% 0.18/0.47 % (2746694)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.47 % (2746694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.47 % (2746694)CaDiCaL version: 2.1.3
% 0.18/0.47 % (2746694)Termination reason: Refutation
% 0.18/0.47 % (2746694)Time elapsed: 0.001 s
% 0.18/0.47 % (2746694)Peak memory usage: 11 MB
% 0.18/0.47 % (2746694)Instructions burned: 2 (million)
% 0.18/0.47 % (2746683)Success in time 0.029 s
% 0.18/0.47 % Vampire exiting
%------------------------------------------------------------------------------