%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO059-2 : 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 : n016.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 09:53:26 AM UTC 2026
% Result : Unsatisfiable 0.35s 15.52s
% Output : Refutation 0.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 14 unt; 0 def)
% Number of atoms : 23 ( 1 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 12 ( 7 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 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 : 66 ( 66 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : equidistant(X0,X1,X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',reflexivity_for_equidistance) ).
fof(f2,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,X1,X4,X5)
| ~ equidistant(X0,X1,X2,X3)
| equidistant(X2,X3,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',transitivity_for_equidistance) ).
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(f20,negated_conjecture,
~ equidistant(v,u,v,reflection(reflection(u,v),v)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_congruence) ).
fof(f21,plain,
~ equidistant(v,u,v,extension(extension(u,v,u,v),v,extension(u,v,u,v),v)),
inference(definition_unfolding,[],[f20,f19,f19]) ).
fof(f81,plain,
! [X2,X3,X0,X1] :
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X2,X3,X1,X0) ),
inference(resolution,[],[f2,f1]) ).
fof(f82,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,extension(X1,X0,X2,X3),X4,X5)
| equidistant(X4,X5,X2,X3) ),
inference(resolution,[],[f2,f5]) ).
fof(f94,plain,
! [X0,X1] : equidistant(X0,X1,X0,X1),
inference(resolution,[],[f81,f1]) ).
fof(f95,plain,
! [X2,X3,X0,X1] : equidistant(X0,X1,extension(X2,X3,X0,X1),X3),
inference(resolution,[],[f81,f5]) ).
fof(f99,plain,
! [X2,X3,X0,X1] :
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X2,X3,X0,X1) ),
inference(resolution,[],[f94,f2]) ).
fof(f100,plain,
! [X2,X3,X0,X1] : equidistant(extension(X0,X1,X2,X3),X1,X3,X2),
inference(resolution,[],[f95,f81]) ).
fof(f104,plain,
! [X2,X3,X0,X1] : equidistant(X0,X1,X2,extension(X3,X2,X1,X0)),
inference(resolution,[],[f100,f81]) ).
fof(f174,plain,
! [X2,X3,X0,X1,X4,X5] : equidistant(X0,extension(X1,X0,extension(X2,X3,X4,X5),X3),X4,X5),
inference(resolution,[],[f82,f104]) ).
fof(f223,plain,
! [X2,X3,X0,X1,X4,X5] : equidistant(X0,X1,X2,extension(X3,X2,extension(X4,X5,X0,X1),X5)),
inference(resolution,[],[f174,f99]) ).
fof(f260,plain,
! [X2,X3,X0,X1,X4,X5] : equidistant(X0,extension(X1,X0,extension(X2,X3,X4,X5),X3),X5,X4),
inference(resolution,[],[f223,f81]) ).
fof(f297,plain,
! [X2,X3,X0,X1,X4,X5] : equidistant(X0,X1,X2,extension(X3,X2,extension(X4,X5,X1,X0),X5)),
inference(resolution,[],[f260,f99]) ).
fof(f310,plain,
$false,
inference(resolution,[],[f297,f21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO059-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.42 % Computer : n016.cluster.edu
% 0.13/0.42 % Model : x86_64 x86_64
% 0.13/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.42 % Memory : 8046.5625MB
% 0.13/0.42 % OS : Linux 6.8.0-71-generic
% 0.10/15.45 % CPULimit : 300
% 0.10/15.45 % WCLimit : 300
% 0.10/15.45 % DateTime : Sun Sep 27 06:47:26 UTC 2026
% 0.10/15.45 % CPUTime :
% 0.10/15.45 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/15.47 Running first-order model finding
% 0.10/15.47 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
% 0.35/15.52 % (875496)Will run a generic schedule for satisfiability detection.
% 0.35/15.52 % (875503)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=769788136:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.35/15.52 % (875502)% WARNING: option uhcvi not known.
% 0.35/15.52 % (875503) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-875496-875503"...
% 0.35/15.52 % (875503)...printing done.
% 0.35/15.52 % (875503)Refutation found. Thanks to Tanya!
% 0.35/15.52 % SZS status Unsatisfiable for theBenchmark
% 0.35/15.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.35/15.52 % (875503)------------------------------
% 0.35/15.52 % (875503)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.35/15.52 % (875503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/15.52 % (875503)CaDiCaL version: 2.1.3
% 0.35/15.52 % (875503)Termination reason: Refutation
% 0.35/15.52 % (875503)Time elapsed: 0.004 s
% 0.35/15.52 % (875503)Peak memory usage: 11 MB
% 0.35/15.52 % (875503)Instructions burned: 9 (million)
% 0.35/15.52 % (875496)Success in time 0.035 s
% 0.35/15.52 % Vampire exiting
%------------------------------------------------------------------------------