%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET239-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n007.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 12:43:31 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.44s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 7 ( 6 unt; 0 def)
% Number of atoms : 8 ( 1 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 3 ( 2 ~; 1 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 6 ( 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f21,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection1) ).
fof(f28,axiom,
! [X2,X0,X1] : intersection(X0,cross_product(X1,X2)) = restrict(X0,X1,X2),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',restriction1) ).
fof(f122,negated_conjecture,
member(z,restrict(xr,x,y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_restriction_alternate_defn2_1) ).
fof(f123,negated_conjecture,
~ member(z,xr),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_restriction_alternate_defn2_2) ).
fof(f186,plain,
member(z,intersection(xr,cross_product(x,y))),
inference(definition_unfolding,[],[f122,f28]) ).
fof(f196,plain,
member(z,xr),
inference(resolution,[],[f21,f186]) ).
fof(f197,plain,
$false,
inference(forward_subsumption_resolution,[],[f196,f123]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET239-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.37 % Computer : n007.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 28 01:10:10 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.40 Running first-order model finding
% 0.12/0.40 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
% 0.12/0.44 % (1935982)Will run a generic schedule for satisfiability detection.
% 0.12/0.44 % (1935991)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2216656884:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.12/0.44 % (1935991) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1935982-1935991"...
% 0.12/0.44 % (1935991)...printing done.
% 0.12/0.44 % (1935991)Refutation found. Thanks to Tanya!
% 0.12/0.44 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.44 % (1935991)------------------------------
% 0.12/0.44 % (1935991)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/0.44 % (1935991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/0.44 % (1935991)CaDiCaL version: 2.1.3
% 0.12/0.44 % (1935991)Termination reason: Refutation
% 0.12/0.44 % (1935991)Time elapsed: 0.004 s
% 0.12/0.44 % (1935991)Peak memory usage: 11 MB
% 0.12/0.44 % (1935991)Instructions burned: 11 (million)
% 0.12/0.44 % (1935982)Success in time 0.032 s
% 0.12/0.44 % Vampire exiting
%------------------------------------------------------------------------------