%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET045+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 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 : Sun Sep 27 08:31:45 AM UTC 2026
% Result : Theorem 9.56s 2.84s
% Output : CNFRefutation 9.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 6 unt; 0 def)
% Number of atoms : 16 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 14 ( 8 ~; 4 |; 1 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 13 ( 2 sgn 4 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pel41_1,axiom,
! [X0] :
? [X1] :
! [X2] :
( element(X2,X1)
<=> ( ~ element(X2,X2)
& element(X2,X0) ) ) ).
fof(pel41,conjecture,
~ ? [X0] :
! [X1] : element(X1,X0) ).
fof(negated_conjecture,negated_conjecture,
~ ~ ? [X0] :
! [X1] : element(X1,X0),
inference(negate_conjecture,[status(cth)],[pel41]) ).
cnf(c1,plain,
( ~ element(X0,X0)
| ~ element(X0,sK1(X1)) ),
inference(clausification,[status(esa)],[pel41_1]) ).
cnf(c2,plain,
( element(X0,X0)
| ~ element(X0,X1)
| element(X0,sK1(X1)) ),
inference(clausification,[status(esa)],[pel41_1]) ).
cnf(c3,plain,
element(X0,sK3),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( element(X0,sK1(sK3))
| element(X0,X0) ),
inference(resolution,[status(thm)],[c2,c3]) ).
cnf(d1,plain,
element(sK1(sK3),sK1(sK3)),
inference(factoring,[status(thm)],[d0]) ).
cnf(d2,plain,
~ element(sK1(sK3),sK1(sK3)),
inference(resolution,[status(thm)],[d1,c1]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[d1,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET045+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n013.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Sat Sep 26 06:59:07 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.56/2.84 % SZS status Theorem for theBenchmark.p
% 9.56/2.84 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------