%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO055-2 : 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 : 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 0.11s 0.44s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 7 ( 7 unt; 0 def)
% Number of atoms : 7 ( 1 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 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 : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(f19,axiom,
! [X0,X1] : reflection(X0,X1) = extension(X0,X1,X0,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-2.ax',reflection) ).
fof(f20,negated_conjecture,
~ equidistant(v,reflection(u,v),u,v),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_equidistance) ).
fof(f21,plain,
~ equidistant(v,extension(u,v,u,v),u,v),
inference(definition_unfolding,[],[f20,f19]) ).
fof(f26,plain,
! [X2,X3,X0,X1] : ~ equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
inference(consistent_polarity_flipping,[],[f5]) ).
fof(f40,plain,
equidistant(v,extension(u,v,u,v),u,v),
inference(consistent_polarity_flipping,[],[f21]) ).
fof(f42,plain,
$false,
inference(backward_subsumption_resolution,[],[f40,f26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO055-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n009.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 06:45:15 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 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
% 0.11/0.44 % (1680151)Will run a generic schedule for satisfiability detection.
% 0.11/0.44 % (1680157)% WARNING: option uhcvi not known.
% 0.11/0.44 % (1680157)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=400520967:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.11/0.44 % (1680157) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1680151-1680157"...
% 0.11/0.44 % (1680157)...printing done.
% 0.11/0.44 % (1680157)Refutation found. Thanks to Tanya!
% 0.11/0.44 % SZS status Unsatisfiable for theBenchmark
% 0.11/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.44 % (1680157)------------------------------
% 0.11/0.44 % (1680157)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.44 % (1680157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.44 % (1680157)CaDiCaL version: 2.1.3
% 0.11/0.44 % (1680157)Termination reason: Refutation
% 0.11/0.44 % (1680157)Time elapsed: 0.001 s
% 0.11/0.44 % (1680157)Peak memory usage: 11 MB
% 0.11/0.44 % (1680157)Instructions burned: 1 (million)
% 0.11/0.44 % (1680151)Success in time 0.027 s
% 0.11/0.45 % Vampire exiting
%------------------------------------------------------------------------------