%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET658+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 08:33:01 AM UTC 2026
% Result : Theorem 9.24s 3.53s
% Output : CNFRefutation 9.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 7 unt; 0 def)
% Number of atoms : 28 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 25 ( 12 ~; 7 |; 0 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 11 ( 1 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p1,axiom,
! [X0] :
( 'ilf$utype'(X0,'set$utype')
=> ! [X1] :
( 'ilf$utype'(X1,'binary$urelation$utype')
=> ( subset('domain$uof'(X1),X0)
=> 'ilf$utype'(X1,'relation$utype'(X0,'range$uof'(X1))) ) ) ) ).
fof(p15,axiom,
! [X0] :
( 'ilf$utype'(X0,'set$utype')
=> subset(X0,X0) ) ).
fof(p28,axiom,
! [X0] : 'ilf$utype'(X0,'set$utype') ).
fof(prove_relset_1_20,conjecture,
! [X0] :
( 'ilf$utype'(X0,'binary$urelation$utype')
=> 'ilf$utype'(X0,'relation$utype'('domain$uof'(X0),'range$uof'(X0))) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( 'ilf$utype'(X0,'binary$urelation$utype')
=> 'ilf$utype'(X0,'relation$utype'('domain$uof'(X0),'range$uof'(X0))) ),
inference(negate_conjecture,[status(cth)],[prove_relset_1_20]) ).
cnf(c0,plain,
( 'ilf$utype'(X1,'relation$utype'(X0,'range$uof'(X1)))
| ~ subset('domain$uof'(X1),X0)
| ~ 'ilf$utype'(X1,'binary$urelation$utype')
| ~ 'ilf$utype'(X0,'set$utype') ),
inference(clausification,[status(esa)],[p1]) ).
cnf(c25,plain,
( subset(X0,X0)
| ~ 'ilf$utype'(X0,'set$utype') ),
inference(clausification,[status(esa)],[p15]) ).
cnf(c52,plain,
'ilf$utype'(X0,'set$utype'),
inference(clausification,[status(esa)],[p28]) ).
cnf(c53,plain,
'ilf$utype'(sK71,'binary$urelation$utype'),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c54,plain,
~ 'ilf$utype'(sK71,'relation$utype'('domain$uof'(sK71),'range$uof'(sK71))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ 'ilf$utype'(sK71,'binary$urelation$utype')
| ~ 'ilf$utype'('domain$uof'(sK71),'set$utype')
| ~ subset('domain$uof'(sK71),'domain$uof'(sK71)) ),
inference(resolution,[status(thm)],[c54,c0]) ).
cnf(d1,plain,
( ~ 'ilf$utype'('domain$uof'(sK71),'set$utype')
| ~ subset('domain$uof'(sK71),'domain$uof'(sK71)) ),
inference(resolution,[status(thm)],[c53,d0]) ).
cnf(d2,plain,
~ subset('domain$uof'(sK71),'domain$uof'(sK71)),
inference(resolution,[status(thm)],[c52,d1]) ).
cnf(d3,plain,
subset(X0,X0),
inference(resolution,[status(thm)],[c52,c25]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[d3,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET658+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n018.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sat Sep 26 08:05:36 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.24/3.53 % SZS status Theorem for theBenchmark.p
% 9.24/3.53 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------