%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU424+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n010.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 08:41:59 AM UTC 2026
% Result : Theorem 12.04s 2.11s
% Output : CNFRefutation 12.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 12 ( 6 unt; 0 def)
% Number of atoms : 27 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 28 ( 13 ~; 6 |; 2 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-4 aty)
% Number of variables : 16 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(s8_domain_1__e1_22__relset_2,axiom,
! [X0,X1,X2,X3] :
( ( 'm2$urelset$u1'(X3,X0,X1)
& 'm1$usubset$u1'(X2,'k1$uzfmisc$u1'(X0))
& ~ 'v1$uxboole$u0'(X0) )
=> 'm1$usubset$u1'('a$u4$u0$urelset$u2'(X0,X1,X2,X3),'k1$uzfmisc$u1'('k1$uzfmisc$u1'(X1))) ) ).
fof(t18_relset_2,conjecture,
! [X0] :
( ~ 'v1$uxboole$u0'(X0)
=> ! [X1,X2] :
( 'm1$usubset$u1'(X2,'k1$uzfmisc$u1'(X0))
=> ! [X3] :
( 'm2$urelset$u1'(X3,X0,X1)
=> 'm1$usubset$u1'('a$u4$u0$urelset$u2'(X0,X1,X2,X3),'k1$uzfmisc$u1'('k1$uzfmisc$u1'(X1))) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( ~ 'v1$uxboole$u0'(X0)
=> ! [X1,X2] :
( 'm1$usubset$u1'(X2,'k1$uzfmisc$u1'(X0))
=> ! [X3] :
( 'm2$urelset$u1'(X3,X0,X1)
=> 'm1$usubset$u1'('a$u4$u0$urelset$u2'(X0,X1,X2,X3),'k1$uzfmisc$u1'('k1$uzfmisc$u1'(X1))) ) ) ),
inference(negate_conjecture,[status(cth)],[t18_relset_2]) ).
cnf(c37,plain,
( 'm1$usubset$u1'('a$u4$u0$urelset$u2'(X0,X3,X1,X2),'k1$uzfmisc$u1'('k1$uzfmisc$u1'(X3)))
| ~ 'm2$urelset$u1'(X2,X0,X3)
| ~ 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'(X0))
| 'v1$uxboole$u0'(X0) ),
inference(clausification,[status(esa)],[s8_domain_1__e1_22__relset_2]) ).
cnf(c51,plain,
~ 'v1$uxboole$u0'(sK82),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c52,plain,
'm1$usubset$u1'(sK84,'k1$uzfmisc$u1'(sK82)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c53,plain,
'm2$urelset$u1'(sK85,sK82,sK83),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c54,plain,
~ 'm1$usubset$u1'('a$u4$u0$urelset$u2'(sK82,sK83,sK84,sK85),'k1$uzfmisc$u1'('k1$uzfmisc$u1'(sK83))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ 'm2$urelset$u1'(sK85,sK82,sK83)
| ~ 'm1$usubset$u1'(sK84,'k1$uzfmisc$u1'(sK82))
| 'v1$uxboole$u0'(sK82) ),
inference(resolution,[status(thm)],[c37,c54]) ).
cnf(d1,plain,
( ~ 'm2$urelset$u1'(sK85,sK82,sK83)
| ~ 'm1$usubset$u1'(sK84,'k1$uzfmisc$u1'(sK82)) ),
inference(resolution,[status(thm)],[c51,d0]) ).
cnf(d2,plain,
~ 'm2$urelset$u1'(sK85,sK82,sK83),
inference(resolution,[status(thm)],[c52,d1]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[c53,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU424+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n010.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 09:41:00 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.04/2.11 % SZS status Theorem for theBenchmark.p
% 12.04/2.11 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------