%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET044+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 : n005.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 08:31:44 AM UTC 2026
% Result : Theorem 9.77s 2.68s
% Output : CNFRefutation 9.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 11 ( 4 unt; 0 def)
% Number of atoms : 22 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 21 ( 10 ~; 5 |; 0 &)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 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 : 17 ( 0 sgn 6 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pel40,conjecture,
( ? [X0] :
! [X1] :
( element(X1,X0)
<=> element(X1,X1) )
=> ~ ! [X2] :
? [X3] :
! [X4] :
( element(X4,X3)
<=> ~ element(X4,X2) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ? [X0] :
! [X1] :
( element(X1,X0)
<=> element(X1,X1) )
=> ~ ! [X2] :
? [X3] :
! [X4] :
( element(X4,X3)
<=> ~ element(X4,X2) ) ),
inference(negate_conjecture,[status(cth)],[pel40]) ).
cnf(c0,plain,
( element(X0,X0)
| ~ element(X0,sK0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c1,plain,
( ~ element(X0,X0)
| element(X0,sK0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c2,plain,
( ~ element(X0,X1)
| ~ element(X0,sK3(X1)) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c3,plain,
( element(X0,X1)
| element(X0,sK3(X1)) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( element(sK3(X0),sK0)
| element(sK3(X0),X0) ),
inference(resolution,[status(thm)],[c3,c1]) ).
cnf(d1,plain,
element(sK3(sK0),sK0),
inference(factoring,[status(thm)],[d0]) ).
cnf(d2,plain,
element(sK3(sK0),sK3(sK0)),
inference(resolution,[status(thm)],[d1,c0]) ).
cnf(d3,plain,
~ element(sK3(sK0),sK0),
inference(resolution,[status(thm)],[d2,c2]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[d1,d3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET044+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.44 % Computer : n005.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Sat Sep 26 06:59:01 UTC 2026
% 0.19/0.44 % CPUTime :
% 0.19/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.77/2.68 % SZS status Theorem for theBenchmark.p
% 9.77/2.68 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------