%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET978+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 08:33:40 AM UTC 2026
% Result : Theorem 9.34s 1.95s
% Output : CNFRefutation 9.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 3 unt; 0 def)
% Number of atoms : 26 ( 6 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 26 ( 13 ~; 7 |; 2 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 24 ( 4 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t127_zfmisc_1,axiom,
! [X0,X1,X2,X3] :
( ( disjoint(X2,X3)
| disjoint(X0,X1) )
=> disjoint('cartesian$uproduct2'(X0,X2),'cartesian$uproduct2'(X1,X3)) ) ).
fof(t17_zfmisc_1,axiom,
! [X0,X1] :
( X0 != X1
=> disjoint(singleton(X0),singleton(X1)) ) ).
fof(t131_zfmisc_1,conjecture,
! [X0,X1,X2,X3] :
( X0 != X1
=> ( disjoint('cartesian$uproduct2'(X2,singleton(X0)),'cartesian$uproduct2'(X3,singleton(X1)))
& disjoint('cartesian$uproduct2'(singleton(X0),X2),'cartesian$uproduct2'(singleton(X1),X3)) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( X0 != X1
=> ( disjoint('cartesian$uproduct2'(X2,singleton(X0)),'cartesian$uproduct2'(X3,singleton(X1)))
& disjoint('cartesian$uproduct2'(singleton(X0),X2),'cartesian$uproduct2'(singleton(X1),X3)) ) ),
inference(negate_conjecture,[status(cth)],[t131_zfmisc_1]) ).
cnf(c3,plain,
( disjoint('cartesian$uproduct2'(X0,X2),'cartesian$uproduct2'(X1,X3))
| ~ disjoint(X0,X1) ),
inference(clausification,[status(esa)],[t127_zfmisc_1]) ).
cnf(c4,plain,
( disjoint('cartesian$uproduct2'(X2,X0),'cartesian$uproduct2'(X3,X1))
| ~ disjoint(X0,X1) ),
inference(clausification,[status(esa)],[t127_zfmisc_1]) ).
cnf(c5,plain,
( disjoint(singleton(X0),singleton(X1))
| X0 = X1 ),
inference(clausification,[status(esa)],[t17_zfmisc_1]) ).
cnf(c6,plain,
sK10 != sK11,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c7,plain,
( ~ disjoint('cartesian$uproduct2'(sK12,singleton(sK10)),'cartesian$uproduct2'(sK13,singleton(sK11)))
| ~ disjoint('cartesian$uproduct2'(singleton(sK10),sK12),'cartesian$uproduct2'(singleton(sK11),sK13)) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ disjoint('cartesian$uproduct2'(singleton(sK10),sK12),'cartesian$uproduct2'(singleton(sK11),sK13))
| ~ disjoint(singleton(sK10),singleton(sK11)) ),
inference(resolution,[status(thm)],[c4,c7]) ).
cnf(d1,plain,
( ~ disjoint(singleton(sK10),singleton(sK11))
| ~ disjoint(singleton(sK10),singleton(sK11)) ),
inference(resolution,[status(thm)],[d0,c3]) ).
cnf(d2,plain,
sK10 = sK11,
inference(resolution,[status(thm)],[d1,c5]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[c6,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET978+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.38 % Computer : n011.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sat Sep 26 08:29:00 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.34/1.95 % SZS status Theorem for theBenchmark.p
% 9.34/1.95 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------