%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SET045-5 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n020.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 : Fri Sep 25 02:41:43 PM UTC 2026
% Result : Unsatisfiable 4.32s 1.07s
% Output : Proof 4.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 7 unt; 0 def)
% Number of atoms : 29 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 13 ~; 13 |; 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 : 23 ( 5 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f2,axiom,
( element(X,f(Y))
| element(X,X)
| ~ element(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
fof(f2_nnf,plain,
! [X,Y] :
( element(X,f(Y))
| element(X,X)
| ~ element(X,Y) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X,Y] :
( element(X,f(Y))
| element(X,X)
| ~ element(X,Y) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( element(X0,f(X1))
| element(X0,X0)
| ~ element(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(f3,negated_conjecture,
element(X,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
fof(f3_nnf,plain,
! [X] : element(X,a),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [X] : element(X,a),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
element(X0,a),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p6,plain,
( element(X0,f(a))
| element(X0,X0) ),
inference(resolution,[status(thm)],[c2,c3]) ).
cnf(f1,axiom,
( ~ element(X,X)
| ~ element(X,f(Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
fof(f1_nnf,plain,
! [X,Y] :
( ~ element(X,X)
| ~ element(X,f(Y)) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [X,Y] :
( ~ element(X,X)
| ~ element(X,f(Y)) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
( ~ element(X0,X0)
| ~ element(X0,f(X1)) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p4,plain,
~ element(f(X0),f(X0)),
inference(factoring,[status(thm)],[c1]) ).
cnf(p9,plain,
element(f(X0),f(a)),
inference(resolution,[status(thm)],[p6,p4]) ).
cnf(p11,plain,
$false,
inference(resolution,[status(thm)],[p9,p4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET045-5 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.35 % Computer : n020.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Thu Sep 24 09:26:33 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.32/1.07 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.32/1.07 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------