%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO058-3 : 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 : n006.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 0.11s 10.48s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 12 ( 10 unt; 0 def)
% Number of atoms : 14 ( 7 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 13 ( 13 !; 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(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(f21,axiom,
! [X2,X3,X0,X1] :
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2) ).
fof(f39,axiom,
v = reflection(u,v),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_equals_reflection) ).
fof(f40,negated_conjecture,
u != v,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_u_equals_v) ).
fof(f41,plain,
v != u,
inference(reorient_equations,[],[f40]) ).
fof(f46,plain,
v = extension(u,v,u,v),
inference(definition_unfolding,[],[f39,f19]) ).
fof(f58,plain,
equidistant(v,v,u,v),
inference(superposition,[],[f5,f46]) ).
fof(f71,plain,
equidistant(u,v,v,v),
inference(resolution,[],[f21,f58]) ).
fof(f72,plain,
v = u,
inference(resolution,[],[f71,f3]) ).
fof(f74,plain,
$false,
inference(forward_subsumption_resolution,[],[f72,f41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO058-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/10.40 % Computer : n006.cluster.edu
% 0.11/10.40 % Model : x86_64 x86_64
% 0.11/10.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/10.40 % Memory : 8046.5625MB
% 0.11/10.40 % OS : Linux 6.8.0-71-generic
% 0.11/10.41 % CPULimit : 300
% 0.11/10.41 % WCLimit : 300
% 0.11/10.41 % DateTime : Sun Sep 27 06:45:40 UTC 2026
% 0.11/10.41 % CPUTime :
% 0.11/10.41 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/10.44 Running first-order model finding
% 0.11/10.44 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
% 0.11/10.48 % (2642364)Will run a generic schedule for satisfiability detection.
% 0.11/10.48 % (2642374)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1955368130:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.11/10.48 % (2642374) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2642364-2642374"...
% 0.11/10.48 % (2642374)...printing done.
% 0.11/10.48 % (2642374)Refutation found. Thanks to Tanya!
% 0.11/10.48 % SZS status Unsatisfiable for theBenchmark
% 0.11/10.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/10.48 % (2642374)------------------------------
% 0.11/10.48 % (2642374)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/10.48 % (2642374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/10.48 % (2642374)CaDiCaL version: 2.1.3
% 0.11/10.48 % (2642374)Termination reason: Refutation
% 0.11/10.48 % (2642374)Time elapsed: 0.001 s
% 0.11/10.48 % (2642374)Peak memory usage: 11 MB
% 0.11/10.48 % (2642374)Instructions burned: 2 (million)
% 0.11/10.48 % (2642364)Success in time 0.026 s
% 0.11/10.48 % Vampire exiting
%------------------------------------------------------------------------------