%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO035-2 : 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 09:53:21 AM UTC 2026
% Result : Unsatisfiable 0.08s 0.43s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 6 ( 5 unt; 0 def)
% Number of atoms : 7 ( 4 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 4 ( 3 ~; 1 |; 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; 3 con; 0-4 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X2,X0,X1] :
( ~ equidistant(X0,X1,X2,X2)
| X0 = X1 ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/GEO002-0.ax',segment_construction2) ).
fof(f19,negated_conjecture,
v != extension(u,v,w,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_null_extension) ).
fof(f21,plain,
! [X2,X0,X1] : extension(X1,X0,X2,X2) = X0,
inference(resolution,[],[f5,f3]) ).
fof(f31,plain,
v != v,
inference(superposition,[],[f19,f21]) ).
fof(f34,plain,
$false,
inference(trivial_inequality_removal,[],[f31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO035-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.36 % Computer : n009.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 27 06:39:00 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.40 Running first-order model finding
% 0.08/0.40 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
% 0.08/0.43 % (1677417)Will run a generic schedule for satisfiability detection.
% 0.08/0.43 % (1677426)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2693785827:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.43 % (1677426) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1677417-1677426"...
% 0.08/0.43 % (1677426)...printing done.
% 0.08/0.43 % (1677426)Refutation found. Thanks to Tanya!
% 0.08/0.43 % SZS status Unsatisfiable for theBenchmark
% 0.08/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.43 % (1677426)------------------------------
% 0.08/0.43 % (1677426)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.43 % (1677426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.43 % (1677426)CaDiCaL version: 2.1.3
% 0.08/0.43 % (1677426)Termination reason: Refutation
% 0.08/0.43 % (1677426)Time elapsed: 0.001 s
% 0.08/0.43 % (1677426)Peak memory usage: 11 MB
% 0.08/0.43 % (1677426)Instructions burned: 2 (million)
% 0.08/0.43 % (1677417)Success in time 0.027 s
% 0.08/0.43 % Vampire exiting
%------------------------------------------------------------------------------