%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET657+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 : n009.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 44.34s 10.28s
% Output : CNFRefutation 44.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 16
% Syntax : Number of formulae : 91 ( 16 unt; 0 def)
% Number of atoms : 288 ( 14 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 338 ( 141 ~; 142 |; 5 &)
% ( 5 <=>; 45 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 5 con; 0-3 aty)
% Number of variables : 144 ( 4 sgn 43 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p1,axiom,
! [X0] :
( 'ilf$utype'(X0,'set$utype')
=> ! [X1] :
( 'ilf$utype'(X1,'set$utype')
=> ! [X2] :
( 'ilf$utype'(X2,'set$utype')
=> ! [X3] :
( 'ilf$utype'(X3,'set$utype')
=> ( ( subset(X2,X3)
& subset(X0,X1) )
=> subset(union(X0,X2),union(X1,X3)) ) ) ) ) ) ).
fof(p2,axiom,
! [X0] :
( 'ilf$utype'(X0,'binary$urelation$utype')
=> 'field$uof'(X0) = union('domain$uof'(X0),'range$uof'(X0)) ) ).
fof(p7,axiom,
! [X0] :
( 'ilf$utype'(X0,'set$utype')
=> ! [X1] :
( 'ilf$utype'(X1,'set$utype')
=> ( ! [X3] :
( 'ilf$utype'(X3,'relation$utype'(X0,X1))
=> 'ilf$utype'(X3,'subset$utype'('cross$uproduct'(X0,X1))) )
& ! [X2] :
( 'ilf$utype'(X2,'subset$utype'('cross$uproduct'(X0,X1)))
=> 'ilf$utype'(X2,'relation$utype'(X0,X1)) ) ) ) ) ).
fof(p9,axiom,
! [X0] :
( 'ilf$utype'(X0,'set$utype')
=> ! [X1] :
( 'ilf$utype'(X1,'set$utype')
=> ( subset(X0,X1)
<=> ! [X2] :
( 'ilf$utype'(X2,'set$utype')
=> ( member(X2,X0)
=> member(X2,X1) ) ) ) ) ) ).
fof(p14,axiom,
! [X0] :
( 'ilf$utype'(X0,'set$utype')
=> ( 'ilf$utype'(X0,'binary$urelation$utype')
<=> ( 'ilf$utype'(X0,'set$utype')
& 'relation$ulike'(X0) ) ) ) ).
fof(p16,axiom,
! [X0] :
( 'ilf$utype'(X0,'set$utype')
=> ! [X1] :
( 'ilf$utype'(X1,'set$utype')
=> ( 'ilf$utype'(X1,'subset$utype'(X0))
<=> 'ilf$utype'(X1,'member$utype'('power$uset'(X0))) ) ) ) ).
fof(p21,axiom,
! [X0] :
( 'ilf$utype'(X0,'set$utype')
=> ! [X1] :
( 'ilf$utype'(X1,'set$utype')
=> ( member(X0,'power$uset'(X1))
<=> ! [X2] :
( 'ilf$utype'(X2,'set$utype')
=> ( member(X2,X0)
=> member(X2,X1) ) ) ) ) ) ).
fof(p22,axiom,
! [X0] :
( 'ilf$utype'(X0,'set$utype')
=> ( 'ilf$utype'('power$uset'(X0),'set$utype')
& ~ empty('power$uset'(X0)) ) ) ).
fof(p23,axiom,
! [X0] :
( 'ilf$utype'(X0,'set$utype')
=> ! [X1] :
( ( 'ilf$utype'(X1,'set$utype')
& ~ empty(X1) )
=> ( 'ilf$utype'(X0,'member$utype'(X1))
<=> member(X0,X1) ) ) ) ).
fof(p27,axiom,
! [X0] :
( 'ilf$utype'(X0,'set$utype')
=> ! [X1] :
( 'ilf$utype'(X1,'set$utype')
=> ! [X2] :
( 'ilf$utype'(X2,'subset$utype'('cross$uproduct'(X0,X1)))
=> 'relation$ulike'(X2) ) ) ) ).
fof(p33,axiom,
! [X0] :
( 'ilf$utype'(X0,'set$utype')
=> ! [X1] :
( 'ilf$utype'(X1,'set$utype')
=> ! [X2] :
( 'ilf$utype'(X2,'relation$utype'(X0,X1))
=> domain(X0,X1,X2) = 'domain$uof'(X2) ) ) ) ).
fof(p34,axiom,
! [X0] :
( 'ilf$utype'(X0,'set$utype')
=> ! [X1] :
( 'ilf$utype'(X1,'set$utype')
=> ! [X2] :
( 'ilf$utype'(X2,'relation$utype'(X0,X1))
=> 'ilf$utype'(domain(X0,X1,X2),'subset$utype'(X0)) ) ) ) ).
fof(p35,axiom,
! [X0] :
( 'ilf$utype'(X0,'set$utype')
=> ! [X1] :
( 'ilf$utype'(X1,'set$utype')
=> ! [X2] :
( 'ilf$utype'(X2,'relation$utype'(X0,X1))
=> range(X0,X1,X2) = 'range$uof'(X2) ) ) ) ).
fof(p36,axiom,
! [X0] :
( 'ilf$utype'(X0,'set$utype')
=> ! [X1] :
( 'ilf$utype'(X1,'set$utype')
=> ! [X2] :
( 'ilf$utype'(X2,'relation$utype'(X0,X1))
=> 'ilf$utype'(range(X0,X1,X2),'subset$utype'(X1)) ) ) ) ).
fof(p37,axiom,
! [X0] : 'ilf$utype'(X0,'set$utype') ).
fof(prove_relset_1_19,conjecture,
! [X0] :
( 'ilf$utype'(X0,'set$utype')
=> ! [X1] :
( 'ilf$utype'(X1,'set$utype')
=> ! [X2] :
( 'ilf$utype'(X2,'relation$utype'(X0,X1))
=> subset('field$uof'(X2),union(X0,X1)) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( 'ilf$utype'(X0,'set$utype')
=> ! [X1] :
( 'ilf$utype'(X1,'set$utype')
=> ! [X2] :
( 'ilf$utype'(X2,'relation$utype'(X0,X1))
=> subset('field$uof'(X2),union(X0,X1)) ) ) ),
inference(negate_conjecture,[status(cth)],[prove_relset_1_19]) ).
cnf(c0,plain,
( ~ subset(X2,X3)
| ~ 'ilf$utype'(X3,'set$utype')
| ~ 'ilf$utype'(X1,'set$utype')
| ~ 'ilf$utype'(X2,'set$utype')
| subset(union(X2,X0),union(X3,X1))
| ~ 'ilf$utype'(X0,'set$utype')
| ~ subset(X0,X1) ),
inference(clausification,[status(esa)],[p1]) ).
cnf(c1,plain,
( union('domain$uof'(X0),'range$uof'(X0)) = 'field$uof'(X0)
| ~ 'ilf$utype'(X0,'binary$urelation$utype') ),
inference(clausification,[status(esa)],[p2]) ).
cnf(c9,plain,
( 'ilf$utype'(X2,'subset$utype'('cross$uproduct'(X0,X1)))
| ~ 'ilf$utype'(X2,'relation$utype'(X0,X1))
| ~ 'ilf$utype'(X1,'set$utype')
| ~ 'ilf$utype'(X0,'set$utype') ),
inference(clausification,[status(esa)],[p7]) ).
cnf(c13,plain,
( ~ member(sK22(X0,X1),X1)
| subset(X0,X1)
| ~ 'ilf$utype'(X1,'set$utype')
| ~ 'ilf$utype'(X0,'set$utype') ),
inference(clausification,[status(esa)],[p9]) ).
cnf(c14,plain,
( member(sK22(X0,X1),X0)
| subset(X0,X1)
| ~ 'ilf$utype'(X1,'set$utype')
| ~ 'ilf$utype'(X0,'set$utype') ),
inference(clausification,[status(esa)],[p9]) ).
cnf(c21,plain,
( ~ 'relation$ulike'(X0)
| 'ilf$utype'(X0,'binary$urelation$utype')
| ~ 'ilf$utype'(X0,'set$utype') ),
inference(clausification,[status(esa)],[p14]) ).
cnf(c23,plain,
( 'ilf$utype'(X1,'member$utype'('power$uset'(X0)))
| ~ 'ilf$utype'(X1,'subset$utype'(X0))
| ~ 'ilf$utype'(X1,'set$utype')
| ~ 'ilf$utype'(X0,'set$utype') ),
inference(clausification,[status(esa)],[p16]) ).
cnf(c27,plain,
( ~ 'ilf$utype'(X0,'set$utype')
| ~ member(X0,X2)
| ~ member(X2,'power$uset'(X1))
| ~ 'ilf$utype'(X2,'set$utype')
| ~ 'ilf$utype'(X1,'set$utype')
| member(X0,X1) ),
inference(clausification,[status(esa)],[p21]) ).
cnf(c31,plain,
( ~ empty('power$uset'(X0))
| ~ 'ilf$utype'(X0,'set$utype') ),
inference(clausification,[status(esa)],[p22]) ).
cnf(c33,plain,
( ~ 'ilf$utype'(X1,'set$utype')
| member(X1,X0)
| ~ 'ilf$utype'(X1,'member$utype'(X0))
| ~ 'ilf$utype'(X0,'set$utype')
| empty(X0) ),
inference(clausification,[status(esa)],[p23]) ).
cnf(c51,plain,
( 'relation$ulike'(X2)
| ~ 'ilf$utype'(X2,'subset$utype'('cross$uproduct'(X0,X1)))
| ~ 'ilf$utype'(X1,'set$utype')
| ~ 'ilf$utype'(X0,'set$utype') ),
inference(clausification,[status(esa)],[p27]) ).
cnf(c59,plain,
( 'domain$uof'(X2) = domain(X0,X1,X2)
| ~ 'ilf$utype'(X2,'relation$utype'(X0,X1))
| ~ 'ilf$utype'(X1,'set$utype')
| ~ 'ilf$utype'(X0,'set$utype') ),
inference(clausification,[status(esa)],[p33]) ).
cnf(c60,plain,
( 'ilf$utype'(domain(X0,X1,X2),'subset$utype'(X0))
| ~ 'ilf$utype'(X2,'relation$utype'(X0,X1))
| ~ 'ilf$utype'(X1,'set$utype')
| ~ 'ilf$utype'(X0,'set$utype') ),
inference(clausification,[status(esa)],[p34]) ).
cnf(c61,plain,
( 'range$uof'(X2) = range(X0,X1,X2)
| ~ 'ilf$utype'(X2,'relation$utype'(X0,X1))
| ~ 'ilf$utype'(X1,'set$utype')
| ~ 'ilf$utype'(X0,'set$utype') ),
inference(clausification,[status(esa)],[p35]) ).
cnf(c62,plain,
( 'ilf$utype'(range(X0,X1,X2),'subset$utype'(X1))
| ~ 'ilf$utype'(X2,'relation$utype'(X0,X1))
| ~ 'ilf$utype'(X1,'set$utype')
| ~ 'ilf$utype'(X0,'set$utype') ),
inference(clausification,[status(esa)],[p36]) ).
cnf(c63,plain,
'ilf$utype'(X0,'set$utype'),
inference(clausification,[status(esa)],[p37]) ).
cnf(c66,plain,
'ilf$utype'(sK90,'relation$utype'(sK88,sK89)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c67,plain,
~ subset('field$uof'(sK90),union(sK88,sK89)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ member(sK22(X0,X1),X1)
| subset(X0,X1)
| ~ 'ilf$utype'(X0,'set$utype') ),
inference(resolution,[status(thm)],[c63,c13]) ).
cnf(d1,plain,
( member(sK22(X0,X1),X0)
| subset(X0,X1)
| ~ 'ilf$utype'(X0,'set$utype') ),
inference(resolution,[status(thm)],[c63,c14]) ).
cnf(d2,plain,
( member(X0,X1)
| ~ member(X0,X2)
| ~ member(X2,'power$uset'(X1))
| ~ 'ilf$utype'(X1,'set$utype')
| ~ 'ilf$utype'(X0,'set$utype') ),
inference(resolution,[status(thm)],[c63,c27]) ).
cnf(d3,plain,
( 'ilf$utype'(domain(X1,X2,X0),'subset$utype'(X1))
| ~ 'ilf$utype'(X2,'set$utype')
| ~ 'ilf$utype'(X0,'relation$utype'(X1,X2)) ),
inference(resolution,[status(thm)],[c63,c60]) ).
cnf(d4,plain,
( ~ 'ilf$utype'(X1,'set$utype')
| ~ 'ilf$utype'(X0,'relation$utype'(X1,X2))
| 'domain$uof'(X0) = domain(X1,X2,X0) ),
inference(resolution,[status(thm)],[c63,c59]) ).
cnf(d5,plain,
( ~ 'ilf$utype'(sK88,'set$utype')
| 'domain$uof'(sK90) = domain(sK88,sK89,sK90) ),
inference(resolution,[status(thm)],[d4,c66]) ).
cnf(d6,plain,
'domain$uof'(sK90) = domain(sK88,sK89,sK90),
inference(resolution,[status(thm)],[c63,d5]) ).
cnf(d7,plain,
( ~ 'ilf$utype'(sK90,'relation$utype'(sK88,sK89))
| ~ 'ilf$utype'(sK89,'set$utype')
| 'ilf$utype'('domain$uof'(sK90),'subset$utype'(sK88)) ),
inference(superposition,[status(thm)],[d6,d3]) ).
cnf(d8,plain,
( ~ 'ilf$utype'(sK89,'set$utype')
| 'ilf$utype'('domain$uof'(sK90),'subset$utype'(sK88)) ),
inference(resolution,[status(thm)],[c66,d7]) ).
cnf(d9,plain,
'ilf$utype'('domain$uof'(sK90),'subset$utype'(sK88)),
inference(resolution,[status(thm)],[c63,d8]) ).
cnf(d10,plain,
( 'ilf$utype'(X0,'member$utype'('power$uset'(X1)))
| ~ 'ilf$utype'(X0,'subset$utype'(X1))
| ~ 'ilf$utype'(X0,'set$utype') ),
inference(resolution,[status(thm)],[c63,c23]) ).
cnf(d11,plain,
( empty(X1)
| member(X0,X1)
| ~ 'ilf$utype'(X0,'member$utype'(X1))
| ~ 'ilf$utype'(X0,'set$utype') ),
inference(resolution,[status(thm)],[c63,c33]) ).
cnf(d12,plain,
( ~ 'ilf$utype'(X0,'subset$utype'(X1))
| ~ 'ilf$utype'(X0,'set$utype')
| empty('power$uset'(X1))
| member(X0,'power$uset'(X1))
| ~ 'ilf$utype'(X0,'set$utype') ),
inference(resolution,[status(thm)],[d11,d10]) ).
cnf(d13,plain,
( empty('power$uset'(X1))
| member(X0,'power$uset'(X1))
| ~ 'ilf$utype'(X0,'subset$utype'(X1)) ),
inference(resolution,[status(thm)],[c63,d12]) ).
cnf(d14,plain,
~ empty('power$uset'(X0)),
inference(resolution,[status(thm)],[c63,c31]) ).
cnf(d15,plain,
( member(X0,'power$uset'(X1))
| ~ 'ilf$utype'(X0,'subset$utype'(X1)) ),
inference(resolution,[status(thm)],[d14,d13]) ).
cnf(d16,plain,
member('domain$uof'(sK90),'power$uset'(sK88)),
inference(resolution,[status(thm)],[d15,d9]) ).
cnf(d17,plain,
( member(X0,sK88)
| ~ member(X0,'domain$uof'(sK90))
| ~ 'ilf$utype'(X0,'set$utype')
| ~ 'ilf$utype'(sK88,'set$utype') ),
inference(resolution,[status(thm)],[d16,d2]) ).
cnf(d18,plain,
( member(X0,sK88)
| ~ member(X0,'domain$uof'(sK90))
| ~ 'ilf$utype'(sK88,'set$utype') ),
inference(resolution,[status(thm)],[c63,d17]) ).
cnf(d19,plain,
( subset('domain$uof'(sK90),X0)
| ~ 'ilf$utype'('domain$uof'(sK90),'set$utype')
| member(sK22('domain$uof'(sK90),X0),sK88)
| ~ 'ilf$utype'(sK88,'set$utype') ),
inference(resolution,[status(thm)],[d18,d1]) ).
cnf(d20,plain,
( member(sK22('domain$uof'(sK90),X0),sK88)
| subset('domain$uof'(sK90),X0)
| ~ 'ilf$utype'(sK88,'set$utype') ),
inference(resolution,[status(thm)],[c63,d19]) ).
cnf(d21,plain,
( subset('domain$uof'(sK90),sK88)
| ~ 'ilf$utype'('domain$uof'(sK90),'set$utype')
| subset('domain$uof'(sK90),sK88)
| ~ 'ilf$utype'(sK88,'set$utype') ),
inference(resolution,[status(thm)],[d20,d0]) ).
cnf(d22,plain,
( subset('domain$uof'(sK90),sK88)
| ~ 'ilf$utype'(sK88,'set$utype') ),
inference(resolution,[status(thm)],[c63,d21]) ).
cnf(d23,plain,
( subset(union(X2,X1),union(X0,X3))
| ~ subset(X2,X0)
| ~ subset(X1,X3)
| ~ 'ilf$utype'(X2,'set$utype')
| ~ 'ilf$utype'(X1,'set$utype')
| ~ 'ilf$utype'(X0,'set$utype') ),
inference(resolution,[status(thm)],[c63,c0]) ).
cnf(d24,plain,
( subset(union(X2,X0),union(X1,X3))
| ~ subset(X0,X3)
| ~ subset(X2,X1)
| ~ 'ilf$utype'(X1,'set$utype')
| ~ 'ilf$utype'(X0,'set$utype') ),
inference(resolution,[status(thm)],[c63,d23]) ).
cnf(d25,plain,
( ~ 'relation$ulike'(X0)
| 'ilf$utype'(X0,'binary$urelation$utype') ),
inference(resolution,[status(thm)],[c63,c21]) ).
cnf(d26,plain,
( union('domain$uof'(X0),'range$uof'(X0)) = 'field$uof'(X0)
| ~ 'relation$ulike'(X0) ),
inference(resolution,[status(thm)],[d25,c1]) ).
cnf(d27,plain,
( ~ 'ilf$utype'(X1,'relation$utype'(X0,X2))
| 'ilf$utype'(X1,'subset$utype'('cross$uproduct'(X0,X2)))
| ~ 'ilf$utype'(X0,'set$utype') ),
inference(resolution,[status(thm)],[c63,c9]) ).
cnf(d28,plain,
( 'relation$ulike'(X0)
| ~ 'ilf$utype'(X2,'set$utype')
| ~ 'ilf$utype'(X0,'subset$utype'('cross$uproduct'(X1,X2))) ),
inference(resolution,[status(thm)],[c63,c51]) ).
cnf(d29,plain,
( ~ 'ilf$utype'(X2,'set$utype')
| ~ 'ilf$utype'(X1,'relation$utype'(X2,X0))
| 'relation$ulike'(X1)
| ~ 'ilf$utype'(X0,'set$utype') ),
inference(resolution,[status(thm)],[d28,d27]) ).
cnf(d30,plain,
( 'relation$ulike'(X0)
| ~ 'ilf$utype'(X2,'set$utype')
| ~ 'ilf$utype'(X0,'relation$utype'(X1,X2)) ),
inference(resolution,[status(thm)],[c63,d29]) ).
cnf(d31,plain,
( 'relation$ulike'(sK90)
| ~ 'ilf$utype'(sK89,'set$utype') ),
inference(resolution,[status(thm)],[d30,c66]) ).
cnf(d32,plain,
'relation$ulike'(sK90),
inference(resolution,[status(thm)],[c63,d31]) ).
cnf(d33,plain,
union('domain$uof'(sK90),'range$uof'(sK90)) = 'field$uof'(sK90),
inference(resolution,[status(thm)],[d32,d26]) ).
cnf(d34,plain,
( ~ subset('range$uof'(sK90),X1)
| ~ subset('domain$uof'(sK90),X0)
| ~ 'ilf$utype'('range$uof'(sK90),'set$utype')
| ~ 'ilf$utype'(X0,'set$utype')
| subset('field$uof'(sK90),union(X0,X1)) ),
inference(superposition,[status(thm)],[d33,d24]) ).
cnf(d35,plain,
( subset('field$uof'(sK90),union(X0,X1))
| ~ subset('range$uof'(sK90),X1)
| ~ subset('domain$uof'(sK90),X0)
| ~ 'ilf$utype'('range$uof'(sK90),'set$utype') ),
inference(resolution,[status(thm)],[c63,d34]) ).
cnf(d36,plain,
( ~ subset('range$uof'(sK90),sK89)
| ~ subset('domain$uof'(sK90),sK88)
| ~ 'ilf$utype'('range$uof'(sK90),'set$utype') ),
inference(resolution,[status(thm)],[d35,c67]) ).
cnf(d37,plain,
( ~ subset('range$uof'(sK90),sK89)
| ~ subset('domain$uof'(sK90),sK88) ),
inference(resolution,[status(thm)],[c63,d36]) ).
cnf(d38,plain,
( 'ilf$utype'(range(X1,X2,X0),'subset$utype'(X2))
| ~ 'ilf$utype'(X1,'set$utype')
| ~ 'ilf$utype'(X0,'relation$utype'(X1,X2)) ),
inference(resolution,[status(thm)],[c63,c62]) ).
cnf(d39,plain,
( ~ 'ilf$utype'(X2,'set$utype')
| ~ 'ilf$utype'(X0,'relation$utype'(X1,X2))
| 'range$uof'(X0) = range(X1,X2,X0) ),
inference(resolution,[status(thm)],[c63,c61]) ).
cnf(d40,plain,
( ~ 'ilf$utype'(sK89,'set$utype')
| 'range$uof'(sK90) = range(sK88,sK89,sK90) ),
inference(resolution,[status(thm)],[d39,c66]) ).
cnf(d41,plain,
'range$uof'(sK90) = range(sK88,sK89,sK90),
inference(resolution,[status(thm)],[c63,d40]) ).
cnf(d42,plain,
( ~ 'ilf$utype'(sK90,'relation$utype'(sK88,sK89))
| ~ 'ilf$utype'(sK88,'set$utype')
| 'ilf$utype'('range$uof'(sK90),'subset$utype'(sK89)) ),
inference(superposition,[status(thm)],[d41,d38]) ).
cnf(d43,plain,
( ~ 'ilf$utype'(sK88,'set$utype')
| 'ilf$utype'('range$uof'(sK90),'subset$utype'(sK89)) ),
inference(resolution,[status(thm)],[c66,d42]) ).
cnf(d44,plain,
'ilf$utype'('range$uof'(sK90),'subset$utype'(sK89)),
inference(resolution,[status(thm)],[c63,d43]) ).
cnf(d45,plain,
member('range$uof'(sK90),'power$uset'(sK89)),
inference(resolution,[status(thm)],[d15,d44]) ).
cnf(d46,plain,
( member(X0,sK89)
| ~ member(X0,'range$uof'(sK90))
| ~ 'ilf$utype'(X0,'set$utype')
| ~ 'ilf$utype'(sK89,'set$utype') ),
inference(resolution,[status(thm)],[d45,d2]) ).
cnf(d47,plain,
( member(X0,sK89)
| ~ member(X0,'range$uof'(sK90))
| ~ 'ilf$utype'(sK89,'set$utype') ),
inference(resolution,[status(thm)],[c63,d46]) ).
cnf(d48,plain,
( subset('range$uof'(sK90),X0)
| ~ 'ilf$utype'('range$uof'(sK90),'set$utype')
| member(sK22('range$uof'(sK90),X0),sK89)
| ~ 'ilf$utype'(sK89,'set$utype') ),
inference(resolution,[status(thm)],[d47,d1]) ).
cnf(d49,plain,
( member(sK22('range$uof'(sK90),X0),sK89)
| subset('range$uof'(sK90),X0)
| ~ 'ilf$utype'(sK89,'set$utype') ),
inference(resolution,[status(thm)],[c63,d48]) ).
cnf(d50,plain,
( subset('range$uof'(sK90),sK89)
| ~ 'ilf$utype'('range$uof'(sK90),'set$utype')
| subset('range$uof'(sK90),sK89)
| ~ 'ilf$utype'(sK89,'set$utype') ),
inference(resolution,[status(thm)],[d49,d0]) ).
cnf(d51,plain,
( subset('range$uof'(sK90),sK89)
| ~ 'ilf$utype'(sK89,'set$utype') ),
inference(resolution,[status(thm)],[c63,d50]) ).
cnf(d52,plain,
( ~ subset('domain$uof'(sK90),sK88)
| ~ 'ilf$utype'(sK89,'set$utype') ),
inference(resolution,[status(thm)],[d51,d37]) ).
cnf(d53,plain,
~ subset('domain$uof'(sK90),sK88),
inference(resolution,[status(thm)],[c63,d52]) ).
cnf(d54,plain,
~ 'ilf$utype'(sK88,'set$utype'),
inference(resolution,[status(thm)],[d53,d22]) ).
cnf(d55,plain,
$false,
inference(resolution,[status(thm)],[c63,d54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET657+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46 % Computer : n009.cluster.edu
% 0.20/0.46 % Model : x86_64 x86_64
% 0.20/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.46 % Memory : 8046.5625MB
% 0.20/0.46 % OS : Linux 6.8.0-71-generic
% 0.20/0.46 % CPULimit : 300
% 0.20/0.46 % WCLimit : 300
% 0.20/0.46 % DateTime : Sat Sep 26 08:03:29 UTC 2026
% 0.20/0.47 % CPUTime :
% 0.20/0.47 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 44.34/10.28 % SZS status Theorem for theBenchmark.p
% 44.34/10.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------