%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO016-2 : 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 09:53:16 AM UTC 2026
% Result : Unsatisfiable 0.09s 0.44s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 7 ( 5 unt; 0 def)
% Number of atoms : 10 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 9 ( 6 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : equidistant(X0,X1,X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',reflexivity_for_equidistance) ).
fof(f2,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,X1,X2,X3)
| ~ equidistant(X0,X1,X4,X5)
| equidistant(X2,X3,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',transitivity_for_equidistance) ).
fof(f19,axiom,
equidistant(u,v,w,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_to_v_equals_w_to_x) ).
fof(f20,negated_conjecture,
~ equidistant(v,u,w,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_symmetry) ).
fof(f32,plain,
! [X0,X1] :
( ~ equidistant(X0,X1,w,x)
| ~ equidistant(X0,X1,v,u) ),
inference(resolution,[],[f2,f20]) ).
fof(f36,plain,
~ equidistant(u,v,v,u),
inference(resolution,[],[f32,f19]) ).
fof(f40,plain,
$false,
inference(forward_subsumption_resolution,[],[f36,f1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO016-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.36 % Computer : n009.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 06:33:30 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.40 Running first-order model finding
% 0.09/0.40 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
% 0.09/0.44 % (1676172)Will run a generic schedule for satisfiability detection.
% 0.09/0.44 % (1676181)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4121023457:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.44 % (1676181) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1676172-1676181"...
% 0.09/0.44 % (1676181)...printing done.
% 0.09/0.44 % (1676181)Refutation found. Thanks to Tanya!
% 0.09/0.44 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.44 % (1676181)------------------------------
% 0.09/0.44 % (1676181)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.44 % (1676181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.44 % (1676181)CaDiCaL version: 2.1.3
% 0.09/0.44 % (1676181)Termination reason: Refutation
% 0.09/0.44 % (1676181)Time elapsed: 0.001 s
% 0.09/0.44 % (1676181)Peak memory usage: 11 MB
% 0.09/0.44 % (1676181)Instructions burned: 2 (million)
% 0.09/0.44 % (1676172)Success in time 0.034 s
% 0.09/0.44 % Vampire exiting
%------------------------------------------------------------------------------