%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU196+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 : n006.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 08:41:14 AM UTC 2026
% Result : Theorem 34.01s 5.31s
% Output : CNFRefutation 34.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 5 unt; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 33 ( 16 ~; 9 |; 1 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 16 ( 2 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(dt_k7_relat_1,axiom,
! [X0,X1] :
( relation(X0)
=> relation('relation$udom$urestriction'(X0,X1)) ) ).
fof(t25_relat_1,lemma,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ( subset(X0,X1)
=> ( subset('relation$urng'(X0),'relation$urng'(X1))
& subset('relation$udom'(X0),'relation$udom'(X1)) ) ) ) ) ).
fof(t88_relat_1,lemma,
! [X0,X1] :
( relation(X1)
=> subset('relation$udom$urestriction'(X1,X0),X1) ) ).
fof(t99_relat_1,conjecture,
! [X0,X1] :
( relation(X1)
=> subset('relation$urng'('relation$udom$urestriction'(X1,X0)),'relation$urng'(X1)) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1] :
( relation(X1)
=> subset('relation$urng'('relation$udom$urestriction'(X1,X0)),'relation$urng'(X1)) ),
inference(negate_conjecture,[status(cth)],[t99_relat_1]) ).
cnf(c201,plain,
( relation('relation$udom$urestriction'(X0,X1))
| ~ relation(X0) ),
inference(clausification,[status(esa)],[dt_k7_relat_1]) ).
cnf(c288,plain,
( subset('relation$urng'(X0),'relation$urng'(X1))
| ~ subset(X0,X1)
| ~ relation(X1)
| ~ relation(X0) ),
inference(clausification,[status(esa)],[t25_relat_1]) ).
cnf(c370,plain,
( subset('relation$udom$urestriction'(X0,X1),X0)
| ~ relation(X0) ),
inference(clausification,[status(esa)],[t88_relat_1]) ).
cnf(c384,plain,
relation(sK457),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c385,plain,
~ subset('relation$urng'('relation$udom$urestriction'(sK457,sK456)),'relation$urng'(sK457)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ subset('relation$udom$urestriction'(sK457,sK456),sK457)
| ~ relation('relation$udom$urestriction'(sK457,sK456))
| ~ relation(sK457) ),
inference(resolution,[status(thm)],[c288,c385]) ).
cnf(d1,plain,
( ~ subset('relation$udom$urestriction'(sK457,sK456),sK457)
| ~ relation('relation$udom$urestriction'(sK457,sK456)) ),
inference(resolution,[status(thm)],[c384,d0]) ).
cnf(d2,plain,
( ~ relation(sK457)
| ~ relation('relation$udom$urestriction'(sK457,sK456)) ),
inference(resolution,[status(thm)],[d1,c370]) ).
cnf(d3,plain,
~ relation('relation$udom$urestriction'(sK457,sK456)),
inference(resolution,[status(thm)],[c384,d2]) ).
cnf(d4,plain,
~ relation(sK457),
inference(resolution,[status(thm)],[d3,c201]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[c384,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU196+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
% 0.08/0.36 % Computer : n006.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sat Sep 26 08:48:26 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 34.01/5.31 % SZS status Theorem for theBenchmark.p
% 34.01/5.31 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------