%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU435+3 : TPTP v9.3.1. Released v3.4.0.
% 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 08:42:02 AM UTC 2026
% Result : Theorem 74.24s 18.59s
% Output : CNFRefutation 74.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 5 unt; 0 def)
% Number of atoms : 19 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 16 ( 7 ~; 3 |; 1 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-6 aty)
% Number of variables : 24 ( 0 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(s8_domain_1__e1_46__relset_2,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( 'm1$usubset$u1'(X5,'k1$uzfmisc$u1'(X3))
& 'm1$usubset$u1'(X2,'k1$uzfmisc$u1'('k1$uzfmisc$u1'('k2$uzfmisc$u1'(X0,X1)))) )
=> 'm1$usubset$u1'('a$u6$u0$urelset$u2'(X0,X1,X2,X3,X4,X5),'k1$uzfmisc$u1'('k1$uzfmisc$u1'(X4))) ) ).
fof(t36_relset_2,conjecture,
! [X0,X1,X2] :
( 'm1$usubset$u1'(X2,'k1$uzfmisc$u1'('k1$uzfmisc$u1'('k2$uzfmisc$u1'(X0,X1))))
=> ! [X3,X4,X5] :
( 'm1$usubset$u1'(X5,'k1$uzfmisc$u1'(X3))
=> 'm1$usubset$u1'('a$u6$u0$urelset$u2'(X0,X1,X2,X3,X4,X5),'k1$uzfmisc$u1'('k1$uzfmisc$u1'(X4))) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2] :
( 'm1$usubset$u1'(X2,'k1$uzfmisc$u1'('k1$uzfmisc$u1'('k2$uzfmisc$u1'(X0,X1))))
=> ! [X3,X4,X5] :
( 'm1$usubset$u1'(X5,'k1$uzfmisc$u1'(X3))
=> 'm1$usubset$u1'('a$u6$u0$urelset$u2'(X0,X1,X2,X3,X4,X5),'k1$uzfmisc$u1'('k1$uzfmisc$u1'(X4))) ) ),
inference(negate_conjecture,[status(cth)],[t36_relset_2]) ).
cnf(c4,plain,
( 'm1$usubset$u1'('a$u6$u0$urelset$u2'(X1,X2,X0,X4,X5,X3),'k1$uzfmisc$u1'('k1$uzfmisc$u1'(X5)))
| ~ 'm1$usubset$u1'(X3,'k1$uzfmisc$u1'(X4))
| ~ 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'('k1$uzfmisc$u1'('k2$uzfmisc$u1'(X1,X2)))) ),
inference(clausification,[status(esa)],[s8_domain_1__e1_46__relset_2]) ).
cnf(c186,plain,
'm1$usubset$u1'(sK320,'k1$uzfmisc$u1'('k1$uzfmisc$u1'('k2$uzfmisc$u1'(sK318,sK319)))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c187,plain,
'm1$usubset$u1'(sK323,'k1$uzfmisc$u1'(sK321)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c188,plain,
~ 'm1$usubset$u1'('a$u6$u0$urelset$u2'(sK318,sK319,sK320,sK321,sK322,sK323),'k1$uzfmisc$u1'('k1$uzfmisc$u1'(sK322))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ 'm1$usubset$u1'(sK320,'k1$uzfmisc$u1'('k1$uzfmisc$u1'('k2$uzfmisc$u1'(sK318,sK319))))
| ~ 'm1$usubset$u1'(sK323,'k1$uzfmisc$u1'(sK321)) ),
inference(resolution,[status(thm)],[c4,c188]) ).
cnf(d1,plain,
~ 'm1$usubset$u1'(sK320,'k1$uzfmisc$u1'('k1$uzfmisc$u1'('k2$uzfmisc$u1'(sK318,sK319)))),
inference(resolution,[status(thm)],[c187,d0]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[c186,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU435+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n003.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 09:51:55 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 74.24/18.59 % SZS status Theorem for theBenchmark.p
% 74.24/18.59 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------