%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU040+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 08:40:47 AM UTC 2026
% Result : Theorem 12.49s 2.91s
% Output : CNFRefutation 12.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 4 unt; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 21 ( 9 ~; 4 |; 4 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 12 ( 2 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t89_relat_1,axiom,
! [X0,X1] :
( relation(X1)
=> subset('relation$udom'('relation$udom$urestriction'(X1,X0)),'relation$udom'(X1)) ) ).
fof(t99_relat_1,axiom,
! [X0,X1] :
( relation(X1)
=> subset('relation$urng'('relation$udom$urestriction'(X1,X0)),'relation$urng'(X1)) ) ).
fof(t76_funct_1,conjecture,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ( subset('relation$urng'('relation$udom$urestriction'(X1,X0)),'relation$urng'(X1))
& subset('relation$udom'('relation$udom$urestriction'(X1,X0)),'relation$udom'(X1)) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ( subset('relation$urng'('relation$udom$urestriction'(X1,X0)),'relation$urng'(X1))
& subset('relation$udom'('relation$udom$urestriction'(X1,X0)),'relation$udom'(X1)) ) ),
inference(negate_conjecture,[status(cth)],[t76_funct_1]) ).
cnf(c55,plain,
( subset('relation$udom'('relation$udom$urestriction'(X0,X1)),'relation$udom'(X0))
| ~ relation(X0) ),
inference(clausification,[status(esa)],[t89_relat_1]) ).
cnf(c56,plain,
( subset('relation$urng'('relation$udom$urestriction'(X0,X1)),'relation$urng'(X0))
| ~ relation(X0) ),
inference(clausification,[status(esa)],[t99_relat_1]) ).
cnf(c57,plain,
relation(sK54),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c59,plain,
( ~ subset('relation$urng'('relation$udom$urestriction'(sK54,sK53)),'relation$urng'(sK54))
| ~ subset('relation$udom'('relation$udom$urestriction'(sK54,sK53)),'relation$udom'(sK54)) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ subset('relation$udom'('relation$udom$urestriction'(sK54,sK53)),'relation$udom'(sK54))
| ~ relation(sK54) ),
inference(resolution,[status(thm)],[c56,c59]) ).
cnf(d1,plain,
~ subset('relation$udom'('relation$udom$urestriction'(sK54,sK53)),'relation$udom'(sK54)),
inference(resolution,[status(thm)],[c57,d0]) ).
cnf(d2,plain,
~ relation(sK54),
inference(resolution,[status(thm)],[d1,c55]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[c57,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU040+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.57 % Computer : n017.cluster.edu
% 0.10/0.57 % Model : x86_64 x86_64
% 0.10/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.57 % Memory : 8046.5625MB
% 0.10/0.57 % OS : Linux 6.8.0-71-generic
% 0.10/0.57 % CPULimit : 300
% 0.10/0.57 % WCLimit : 300
% 0.10/0.57 % DateTime : Sat Sep 26 08:27:19 UTC 2026
% 0.10/0.57 % CPUTime :
% 0.10/0.57 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.49/2.91 % SZS status Theorem for theBenchmark.p
% 12.49/2.91 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------