%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU224+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 08:41:20 AM UTC 2026
% Result : Theorem 16.15s 7.95s
% Output : CNFRefutation 16.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 2
% Syntax : Number of formulae : 20 ( 6 unt; 0 def)
% Number of atoms : 50 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 52 ( 22 ~; 19 |; 5 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 18 ( 1 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t86_relat_1,lemma,
! [X0,X1,X2] :
( relation(X2)
=> ( in(X0,'relation$udom'('relation$udom$urestriction'(X2,X1)))
<=> ( in(X0,'relation$udom'(X2))
& in(X0,X1) ) ) ) ).
fof(l82_funct_1,conjecture,
! [X0,X1,X2] :
( ( function(X2)
& relation(X2) )
=> ( in(X1,'relation$udom'('relation$udom$urestriction'(X2,X0)))
<=> ( in(X1,X0)
& in(X1,'relation$udom'(X2)) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2] :
( ( function(X2)
& relation(X2) )
=> ( in(X1,'relation$udom'('relation$udom$urestriction'(X2,X0)))
<=> ( in(X1,X0)
& in(X1,'relation$udom'(X2)) ) ) ),
inference(negate_conjecture,[status(cth)],[l82_funct_1]) ).
cnf(c501,plain,
( in(X1,X2)
| ~ in(X1,'relation$udom'('relation$udom$urestriction'(X0,X2)))
| ~ relation(X0) ),
inference(clausification,[status(esa)],[t86_relat_1]) ).
cnf(c502,plain,
( in(X1,'relation$udom'(X0))
| ~ in(X1,'relation$udom'('relation$udom$urestriction'(X0,X2)))
| ~ relation(X0) ),
inference(clausification,[status(esa)],[t86_relat_1]) ).
cnf(c503,plain,
( ~ in(X1,'relation$udom'(X0))
| ~ in(X1,X2)
| in(X1,'relation$udom'('relation$udom$urestriction'(X0,X2)))
| ~ relation(X0) ),
inference(clausification,[status(esa)],[t86_relat_1]) ).
cnf(c522,plain,
relation(sK592),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c525,plain,
( in(sK591,'relation$udom'(sK592))
| in(sK591,'relation$udom'('relation$udom$urestriction'(sK592,sK590))) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c526,plain,
( in(sK591,sK590)
| in(sK591,'relation$udom'('relation$udom$urestriction'(sK592,sK590))) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c527,plain,
( ~ in(sK591,'relation$udom'('relation$udom$urestriction'(sK592,sK590)))
| ~ in(sK591,sK590)
| ~ in(sK591,'relation$udom'(sK592)) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( in(sK591,sK590)
| ~ relation(sK592)
| in(sK591,sK590) ),
inference(resolution,[status(thm)],[c501,c526]) ).
cnf(d1,plain,
in(sK591,sK590),
inference(resolution,[status(thm)],[c522,d0]) ).
cnf(d2,plain,
( ~ in(sK591,'relation$udom'(sK592))
| ~ in(sK591,'relation$udom'('relation$udom$urestriction'(sK592,sK590))) ),
inference(resolution,[status(thm)],[d1,c527]) ).
cnf(d3,plain,
( in(sK591,'relation$udom'(sK592))
| ~ relation(sK592)
| in(sK591,'relation$udom'(sK592)) ),
inference(resolution,[status(thm)],[c502,c525]) ).
cnf(d4,plain,
in(sK591,'relation$udom'(sK592)),
inference(resolution,[status(thm)],[c522,d3]) ).
cnf(d5,plain,
~ in(sK591,'relation$udom'('relation$udom$urestriction'(sK592,sK590))),
inference(resolution,[status(thm)],[d4,d2]) ).
cnf(d6,plain,
( ~ relation(sK592)
| ~ in(sK591,'relation$udom'(sK592))
| ~ in(sK591,sK590) ),
inference(resolution,[status(thm)],[c503,d5]) ).
cnf(d7,plain,
( ~ in(sK591,sK590)
| ~ in(sK591,'relation$udom'(sK592)) ),
inference(resolution,[status(thm)],[c522,d6]) ).
cnf(d8,plain,
~ in(sK591,'relation$udom'(sK592)),
inference(resolution,[status(thm)],[d1,d7]) ).
cnf(d9,plain,
$false,
inference(resolution,[status(thm)],[d4,d8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU224+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n020.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 26 08:54:48 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.15/7.95 % SZS status Theorem for theBenchmark.p
% 16.15/7.95 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------