%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET045-5 : 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 : n008.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 12:42:48 PM UTC 2026
% Result : Unsatisfiable 0.17s 0.46s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 9 ( 4 unt; 0 def)
% Number of atoms : 15 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 15 ( 9 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ element(X0,f(X1))
| element(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
fof(f2,axiom,
! [X0,X1] :
( ~ element(X0,f(X1))
| ~ element(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
fof(f3,axiom,
! [X0,X1] :
( element(X0,X0)
| element(X0,f(X1))
| ~ element(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
fof(f4,negated_conjecture,
! [X0] : element(X0,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
fof(f10,plain,
! [X0] :
( element(f(X0),f(X0))
| ~ element(f(X0),X0) ),
inference(factoring,[],[f3]) ).
fof(f11,plain,
! [X0] :
( ~ element(f(X0),X0)
| ~ element(f(X0),f(X0)) ),
inference(resolution,[],[f10,f2]) ).
fof(f14,plain,
! [X0] : ~ element(f(X0),f(X0)),
inference(forward_subsumption_resolution,[],[f11,f1]) ).
fof(f25,plain,
! [X0] : ~ element(f(X0),X0),
inference(resolution,[],[f14,f10]) ).
fof(f38,plain,
$false,
inference(resolution,[],[f25,f4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET045-5 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n008.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 28 00:22:29 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 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
% 0.17/0.46 % (1752697)Will run a generic schedule for satisfiability detection.
% 0.17/0.46 % (1752706)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=680944024:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.46 % (1752706) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1752697-1752706"...
% 0.17/0.46 % (1752706)...printing done.
% 0.17/0.46 % (1752706)Refutation found. Thanks to Tanya!
% 0.17/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.47 % (1752706)------------------------------
% 0.17/0.47 % (1752706)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.47 % (1752706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.47 % (1752706)CaDiCaL version: 2.1.3
% 0.17/0.47 % (1752706)Termination reason: Refutation
% 0.17/0.47 % (1752706)Time elapsed: 0.001 s
% 0.17/0.47 % (1752706)Peak memory usage: 11 MB
% 0.17/0.47 % (1752706)Instructions burned: 1 (million)
% 0.17/0.47 % (1752697)Success in time 0.037 s
% 0.17/0.47 % Vampire exiting
%------------------------------------------------------------------------------