%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET044-5 : 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 : n017.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 12:42:47 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.46s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 9 ( 4 unt; 0 def)
% Number of atoms : 14 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 5 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 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 : 7 ( 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] :
( ~ element(X0,a)
| element(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
fof(f2,negated_conjecture,
! [X0] :
( ~ element(X0,X0)
| element(X0,a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
fof(f3,negated_conjecture,
! [X0,X1] :
( ~ element(X0,f(X1))
| ~ element(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
fof(f4,negated_conjecture,
! [X0,X1] :
( element(X0,f(X1))
| element(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
fof(f6,plain,
! [X0] :
( element(f(X0),X0)
| element(f(X0),a) ),
inference(resolution,[],[f4,f2]) ).
fof(f9,plain,
element(f(a),a),
inference(factoring,[],[f6]) ).
fof(f10,plain,
element(f(a),f(a)),
inference(resolution,[],[f9,f1]) ).
fof(f11,plain,
~ element(f(a),a),
inference(resolution,[],[f10,f3]) ).
fof(f13,plain,
$false,
inference(forward_subsumption_resolution,[],[f11,f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET044-5 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.39 % Computer : n017.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Mon Sep 28 00:16:52 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.42 Running first-order model finding
% 0.10/0.42 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
% 0.15/0.46 % (3103120)Will run a generic schedule for satisfiability detection.
% 0.15/0.46 % (3103128)dis+10_1_sil=32000:sp=arity:random_seed=3766878466:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.15/0.46 % (3103128) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3103120-3103128"...
% 0.15/0.46 % (3103128)...printing done.
% 0.15/0.46 % (3103128)Refutation found. Thanks to Tanya!
% 0.15/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.46 % (3103128)------------------------------
% 0.15/0.46 % (3103128)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.46 % (3103128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.46 % (3103128)CaDiCaL version: 2.1.3
% 0.15/0.46 % (3103128)Termination reason: Refutation
% 0.15/0.46 % (3103128)Time elapsed: 0.001 s
% 0.15/0.46 % (3103128)Peak memory usage: 11 MB
% 0.15/0.46 % (3103120)Success in time 0.028 s
% 0.15/0.46 % Vampire exiting
%------------------------------------------------------------------------------