%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU429+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 : n016.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 08:42:00 AM UTC 2026
% Result : Theorem 12.89s 12.48s
% Output : CNFRefutation 12.89s
% 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_38__relset_2,axiom,
! [X0,X1,X2,X3] :
( ( 'm2$urelset$u1'(X3,X0,X1)
& 'm1$usubset$u1'(X2,'k1$uzfmisc$u1'('k1$uzfmisc$u1'(X0)))
& ~ 'v1$uxboole$u0'(X0) )
=> 'm1$usubset$u1'('a$u4$u1$urelset$u2'(X0,X1,X2,X3),'k1$uzfmisc$u1'('k1$uzfmisc$u1'(X1))) ) ).
fof(t28_relset_2,conjecture,
! [X0] :
( ~ 'v1$uxboole$u0'(X0)
=> ! [X1,X2] :
( 'm1$usubset$u1'(X2,'k1$uzfmisc$u1'('k1$uzfmisc$u1'(X0)))
=> ! [X3] :
( 'm2$urelset$u1'(X3,X0,X1)
=> 'm1$usubset$u1'('a$u4$u1$urelset$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'('k1$uzfmisc$u1'(X0)))
=> ! [X3] :
( 'm2$urelset$u1'(X3,X0,X1)
=> 'm1$usubset$u1'('a$u4$u1$urelset$u2'(X0,X1,X2,X3),'k1$uzfmisc$u1'('k1$uzfmisc$u1'(X1))) ) ) ),
inference(negate_conjecture,[status(cth)],[t28_relset_2]) ).
cnf(c50,plain,
( 'm1$usubset$u1'('a$u4$u1$urelset$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'('k1$uzfmisc$u1'(X0)))
| 'v1$uxboole$u0'(X0) ),
inference(clausification,[status(esa)],[s8_domain_1__e1_38__relset_2]) ).
cnf(c64,plain,
~ 'v1$uxboole$u0'(sK103),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c65,plain,
'm1$usubset$u1'(sK105,'k1$uzfmisc$u1'('k1$uzfmisc$u1'(sK103))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c66,plain,
'm2$urelset$u1'(sK106,sK103,sK104),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c67,plain,
~ 'm1$usubset$u1'('a$u4$u1$urelset$u2'(sK103,sK104,sK105,sK106),'k1$uzfmisc$u1'('k1$uzfmisc$u1'(sK104))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ 'm2$urelset$u1'(sK106,sK103,sK104)
| ~ 'm1$usubset$u1'(sK105,'k1$uzfmisc$u1'('k1$uzfmisc$u1'(sK103)))
| 'v1$uxboole$u0'(sK103) ),
inference(resolution,[status(thm)],[c50,c67]) ).
cnf(d1,plain,
( ~ 'm2$urelset$u1'(sK106,sK103,sK104)
| ~ 'm1$usubset$u1'(sK105,'k1$uzfmisc$u1'('k1$uzfmisc$u1'(sK103))) ),
inference(resolution,[status(thm)],[c64,d0]) ).
cnf(d2,plain,
~ 'm1$usubset$u1'(sK105,'k1$uzfmisc$u1'('k1$uzfmisc$u1'(sK103))),
inference(resolution,[status(thm)],[c66,d1]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[c65,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU429+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/10.58 % Computer : n016.cluster.edu
% 0.11/10.58 % Model : x86_64 x86_64
% 0.11/10.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/10.58 % Memory : 8046.5625MB
% 0.11/10.58 % OS : Linux 6.8.0-71-generic
% 0.11/10.58 % CPULimit : 300
% 0.11/10.58 % WCLimit : 300
% 0.11/10.58 % DateTime : Sat Sep 26 09:49:56 UTC 2026
% 0.11/10.58 % CPUTime :
% 0.11/10.58 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.89/12.48 % SZS status Theorem for theBenchmark.p
% 12.89/12.48 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------