%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU198+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 : n026.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 19.21s 7.97s
% Output : CNFRefutation 19.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 4 unt; 0 def)
% Number of atoms : 28 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 23 ( 8 ~; 8 |; 1 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 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 : 22 ( 0 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d3_tarski,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ) ).
fof(t115_relat_1,axiom,
! [X0,X1,X2] :
( relation(X2)
=> ( in(X0,'relation$urng'('relation$urng$urestriction'(X1,X2)))
<=> ( in(X0,'relation$urng'(X2))
& in(X0,X1) ) ) ) ).
fof(t116_relat_1,conjecture,
! [X0,X1] :
( relation(X1)
=> subset('relation$urng'('relation$urng$urestriction'(X0,X1)),X0) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1] :
( relation(X1)
=> subset('relation$urng'('relation$urng$urestriction'(X0,X1)),X0) ),
inference(negate_conjecture,[status(cth)],[t116_relat_1]) ).
cnf(c3,plain,
( in(sK6(X0,X1),X0)
| subset(X0,X1) ),
inference(clausification,[status(esa)],[d3_tarski]) ).
cnf(c4,plain,
( ~ in(sK6(X0,X1),X1)
| subset(X0,X1) ),
inference(clausification,[status(esa)],[d3_tarski]) ).
cnf(c25,plain,
( in(X1,X2)
| ~ in(X1,'relation$urng'('relation$urng$urestriction'(X2,X0)))
| ~ relation(X0) ),
inference(clausification,[status(esa)],[t115_relat_1]) ).
cnf(c37,plain,
relation(sK45),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c38,plain,
~ subset('relation$urng'('relation$urng$urestriction'(sK44,sK45)),sK44),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( subset('relation$urng'('relation$urng$urestriction'(X0,X1)),X2)
| ~ relation(X1)
| in(sK6('relation$urng'('relation$urng$urestriction'(X0,X1)),X2),X0) ),
inference(resolution,[status(thm)],[c25,c3]) ).
cnf(d1,plain,
( subset('relation$urng'('relation$urng$urestriction'(X1,X0)),X1)
| subset('relation$urng'('relation$urng$urestriction'(X1,X0)),X1)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[d0,c4]) ).
cnf(d2,plain,
~ relation(sK45),
inference(resolution,[status(thm)],[d1,c38]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[c37,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU198+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/5.45 % Computer : n026.cluster.edu
% 0.18/5.45 % Model : x86_64 x86_64
% 0.18/5.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/5.45 % Memory : 8046.5625MB
% 0.18/5.45 % OS : Linux 6.8.0-71-generic
% 0.18/5.45 % CPULimit : 300
% 0.18/5.45 % WCLimit : 300
% 0.18/5.45 % DateTime : Sat Sep 26 08:51:16 UTC 2026
% 0.18/5.46 % CPUTime :
% 0.18/5.46 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.21/7.97 % SZS status Theorem for theBenchmark.p
% 19.21/7.97 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------