%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU196+1 : 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 08:41:14 AM UTC 2026
% Result : Theorem 11.99s 1.99s
% Output : CNFRefutation 11.99s
% 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,axiom,
! [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,axiom,
! [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(c2,plain,
( relation('relation$udom$urestriction'(X0,X1))
| ~ relation(X0) ),
inference(clausification,[status(esa)],[dt_k7_relat_1]) ).
cnf(c27,plain,
( subset('relation$urng'(X0),'relation$urng'(X1))
| ~ subset(X0,X1)
| ~ relation(X1)
| ~ relation(X0) ),
inference(clausification,[status(esa)],[t25_relat_1]) ).
cnf(c35,plain,
( subset('relation$udom$urestriction'(X0,X1),X0)
| ~ relation(X0) ),
inference(clausification,[status(esa)],[t88_relat_1]) ).
cnf(c37,plain,
relation(sK44),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c38,plain,
~ subset('relation$urng'('relation$udom$urestriction'(sK44,sK43)),'relation$urng'(sK44)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ subset('relation$udom$urestriction'(sK44,sK43),sK44)
| ~ relation(sK44)
| ~ relation('relation$udom$urestriction'(sK44,sK43)) ),
inference(resolution,[status(thm)],[c27,c38]) ).
cnf(d1,plain,
( ~ subset('relation$udom$urestriction'(sK44,sK43),sK44)
| ~ relation('relation$udom$urestriction'(sK44,sK43)) ),
inference(resolution,[status(thm)],[c37,d0]) ).
cnf(d2,plain,
( ~ relation('relation$udom$urestriction'(sK44,sK43))
| ~ relation(sK44) ),
inference(resolution,[status(thm)],[c35,d1]) ).
cnf(d3,plain,
~ relation('relation$udom$urestriction'(sK44,sK43)),
inference(resolution,[status(thm)],[c37,d2]) ).
cnf(d4,plain,
~ relation(sK44),
inference(resolution,[status(thm)],[d3,c2]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[c37,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU196+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n020.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sat Sep 26 08:48:50 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.99/1.99 % SZS status Theorem for theBenchmark.p
% 11.99/1.99 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------