%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET913+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.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 08:33:33 AM UTC 2026
% Result : Theorem 8.86s 1.56s
% Output : CNFRefutation 8.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 8 ( 4 unt; 0 def)
% Number of atoms : 12 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 7 ~; 1 |; 3 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 8 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l25_zfmisc_1,axiom,
! [X0,X1] :
~ ( in(X0,X1)
& disjoint(singleton(X0),X1) ) ).
fof(t54_zfmisc_1,conjecture,
! [X0,X1] :
~ ( in(X0,X1)
& disjoint(singleton(X0),X1) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1] :
~ ( in(X0,X1)
& disjoint(singleton(X0),X1) ),
inference(negate_conjecture,[status(cth)],[t54_zfmisc_1]) ).
cnf(c4,plain,
( ~ in(X0,X1)
| ~ disjoint(singleton(X0),X1) ),
inference(clausification,[status(esa)],[l25_zfmisc_1]) ).
cnf(c5,plain,
disjoint(singleton(sK8),sK9),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c6,plain,
in(sK8,sK9),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
~ in(sK8,sK9),
inference(resolution,[status(thm)],[c4,c5]) ).
cnf(d1,plain,
$false,
inference(resolution,[status(thm)],[c6,d0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET913+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n003.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 : Sat Sep 26 08:27:09 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.86/1.56 % SZS status Theorem for theBenchmark.p
% 8.86/1.56 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------