%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO055-3 : 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 : n009.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 09:53:25 AM UTC 2026
% Result : Unsatisfiable 0.16s 0.66s
% Output : Refutation 0.16s
% 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 : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-4 aty)
% Number of variables : 6 ( 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(f19,axiom,
! [X0,X1] : reflection(X0,X1) = extension(X0,X1,X0,X1),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-2.ax',reflection) ).
fof(f33,negated_conjecture,
~ equidistant(v,reflection(u,v),u,v),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_equidistance) ).
fof(f34,plain,
~ equidistant(v,extension(u,v,u,v),u,v),
inference(definition_unfolding,[],[f33,f19]) ).
fof(f39,plain,
$false,
inference(resolution,[],[f5,f34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO055-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.58 % Computer : n009.cluster.edu
% 0.11/0.58 % Model : x86_64 x86_64
% 0.11/0.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.58 % Memory : 8046.5625MB
% 0.11/0.58 % OS : Linux 6.8.0-71-generic
% 0.11/0.59 % CPULimit : 300
% 0.11/0.59 % WCLimit : 300
% 0.11/0.59 % DateTime : Sun Sep 27 06:45:32 UTC 2026
% 0.11/0.59 % CPUTime :
% 0.11/0.59 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.62 Running first-order model finding
% 0.11/0.62 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
% 0.16/0.66 % (1680793)Will run a generic schedule for satisfiability detection.
% 0.16/0.66 % (1680803)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4119258308:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.66 % (1680803) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1680793-1680803"...
% 0.16/0.66 % (1680803)...printing done.
% 0.16/0.66 % (1680799)% WARNING: option uhcvi not known.
% 0.16/0.66 % (1680803)Refutation found. Thanks to Tanya!
% 0.16/0.66 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.66 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.66 % (1680803)------------------------------
% 0.16/0.66 % (1680803)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.66 % (1680803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.66 % (1680803)CaDiCaL version: 2.1.3
% 0.16/0.66 % (1680803)Termination reason: Refutation
% 0.16/0.66 % (1680803)Time elapsed: 0.001 s
% 0.16/0.66 % (1680803)Peak memory usage: 11 MB
% 0.16/0.66 % (1680803)Instructions burned: 1 (million)
% 0.16/0.66 % (1680793)Success in time 0.026 s
% 0.16/0.66 % Vampire exiting
%------------------------------------------------------------------------------