%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SET045+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n013.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 02:41:42 PM UTC 2026
% Result : Theorem 3.18s 1.09s
% Output : Proof 3.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 14 ( 8 unt; 0 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 30 ( 14 ~; 10 |; 5 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 23 ( 3 sgn 10 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f0,axiom,
! [Z] :
? [Y] :
! [X] :
( element(X,Y)
<=> ( ~ element(X,X)
& element(X,Z) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel41_1) ).
fof(f0_nnf,plain,
! [Z] :
? [Y] :
! [X] :
( ( element(X,X)
| ~ element(X,Z)
| element(X,Y) )
& ( ( ~ element(X,X)
& element(X,Z) )
| ~ element(X,Y) ) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [X,Z] :
( ( element(X,X)
| ~ element(X,Z)
| element(X,sk0(Z)) )
& ( ( ~ element(X,X)
& element(X,Z) )
| ~ element(X,sk0(Z)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0])],[f0_nnf]) ).
cnf(c2,plain,
( element(X2,X2)
| ~ element(X2,X0)
| element(X2,sk0(X0)) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
fof(f1,conjecture,
~ ? [Z] :
! [X] : element(X,Z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel41) ).
fof(f1_neg,negated_conjecture,
~ ~ ? [Z] :
! [X] : element(X,Z),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f1_nnf,plain,
? [Z] :
! [X] : element(X,Z),
inference(nnf_transformation,[status(thm)],[f1_neg]) ).
fof(f1_sk,plain,
! [X] : element(X,sk1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk1])],[f1_nnf]) ).
cnf(c3,plain,
element(X1,sk1),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p6,plain,
( element(X0,X0)
| element(X0,sk0(sk1)) ),
inference(resolution,[status(thm)],[c2,c3]) ).
cnf(c1,plain,
( ~ element(X2,X2)
| ~ element(X2,sk0(X0)) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p4,plain,
~ element(sk0(X0),sk0(X0)),
inference(factoring,[status(thm)],[c1]) ).
cnf(p9,plain,
element(sk0(X0),sk0(sk1)),
inference(resolution,[status(thm)],[p6,p4]) ).
cnf(p11,plain,
$false,
inference(resolution,[status(thm)],[p9,p4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET045+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.36 % Computer : n013.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Thu Sep 24 09:25:06 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.18/1.09 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.18/1.09 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------