%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET684+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 : n012.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 08:33:05 AM UTC 2026
% Result : Theorem 17.21s 2.97s
% Output : CNFRefutation 17.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 9
% Syntax : Number of formulae : 126 ( 10 unt; 0 def)
% Number of atoms : 710 ( 3 equ)
% Maximal formula atoms : 14 ( 5 avg)
% Number of connectives : 1096 ( 512 ~; 524 |; 16 &)
% ( 5 <=>; 39 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 10 con; 0-5 aty)
% Number of variables : 185 ( 25 sgn 39 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p1,axiom,
! [X0] :
( 'ilf$utype'(X0,'set$utype')
=> ! [X1] :
( 'ilf$utype'(X1,'set$utype')
=> ! [X2] :
( 'ilf$utype'(X2,'binary$urelation$utype')
=> ! [X3] :
( 'ilf$utype'(X3,'binary$urelation$utype')
=> ( member('ordered$upair'(X0,X1),compose(X2,X3))
<=> ? [X4] :
( member('ordered$upair'(X4,X1),X3)
& member('ordered$upair'(X0,X4),X2)
& 'ilf$utype'(X4,'set$utype') ) ) ) ) ) ) ).
fof(p2,axiom,
! [X0] :
( 'ilf$utype'(X0,'set$utype')
=> ! [X1] :
( 'ilf$utype'(X1,'set$utype')
=> ! [X2] :
( 'ilf$utype'(X2,'set$utype')
=> ! [X3] :
( 'ilf$utype'(X3,'set$utype')
=> ! [X4] :
( 'ilf$utype'(X4,'relation$utype'(X0,X1))
=> ( member('ordered$upair'(X2,X3),X4)
=> ( member(X3,X1)
& member(X2,X0) ) ) ) ) ) ) ) ).
fof(p5,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(p7,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(p15,axiom,
! [X0] :
( 'ilf$utype'(X0,'set$utype')
=> ( 'ilf$utype'(X0,'binary$urelation$utype')
<=> ( 'ilf$utype'(X0,'set$utype')
& 'relation$ulike'(X0) ) ) ) ).
fof(p26,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(p27,axiom,
! [X0] :
( 'ilf$utype'(X0,'set$utype')
=> ! [X1] :
( 'ilf$utype'(X1,'set$utype')
=> ! [X2] :
( 'ilf$utype'(X2,'set$utype')
=> ! [X3] :
( 'ilf$utype'(X3,'relation$utype'(X0,X1))
=> ! [X4] :
( 'ilf$utype'(X4,'relation$utype'(X1,X2))
=> compose5(X0,X1,X2,X3,X4) = compose(X3,X4) ) ) ) ) ) ).
fof(p29,axiom,
! [X0] : 'ilf$utype'(X0,'set$utype') ).
fof(prove_relset_1_51,conjecture,
! [X0] :
( ( 'ilf$utype'(X0,'set$utype')
& ~ empty(X0) )
=> ! [X1] :
( ( 'ilf$utype'(X1,'set$utype')
& ~ empty(X1) )
=> ! [X2] :
( ( 'ilf$utype'(X2,'set$utype')
& ~ empty(X2) )
=> ! [X3] :
( 'ilf$utype'(X3,'relation$utype'(X0,X1))
=> ! [X4] :
( 'ilf$utype'(X4,'relation$utype'(X1,X2))
=> ! [X5] :
( 'ilf$utype'(X5,'member$utype'(X0))
=> ! [X6] :
( 'ilf$utype'(X6,'member$utype'(X2))
=> ( member('ordered$upair'(X5,X6),compose5(X0,X1,X2,X3,X4))
<=> ? [X7] :
( member('ordered$upair'(X7,X6),X4)
& member('ordered$upair'(X5,X7),X3)
& 'ilf$utype'(X7,'member$utype'(X1)) ) ) ) ) ) ) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( ( 'ilf$utype'(X0,'set$utype')
& ~ empty(X0) )
=> ! [X1] :
( ( 'ilf$utype'(X1,'set$utype')
& ~ empty(X1) )
=> ! [X2] :
( ( 'ilf$utype'(X2,'set$utype')
& ~ empty(X2) )
=> ! [X3] :
( 'ilf$utype'(X3,'relation$utype'(X0,X1))
=> ! [X4] :
( 'ilf$utype'(X4,'relation$utype'(X1,X2))
=> ! [X5] :
( 'ilf$utype'(X5,'member$utype'(X0))
=> ! [X6] :
( 'ilf$utype'(X6,'member$utype'(X2))
=> ( member('ordered$upair'(X5,X6),compose5(X0,X1,X2,X3,X4))
<=> ? [X7] :
( member('ordered$upair'(X7,X6),X4)
& member('ordered$upair'(X5,X7),X3)
& 'ilf$utype'(X7,'member$utype'(X1)) ) ) ) ) ) ) ) ) ),
inference(negate_conjecture,[status(cth)],[prove_relset_1_51]) ).
cnf(c1,plain,
( ~ 'ilf$utype'(X0,'set$utype')
| ~ member('ordered$upair'(X0,X1),compose(X2,X3))
| ~ 'ilf$utype'(X1,'set$utype')
| ~ 'ilf$utype'(X3,'binary$urelation$utype')
| ~ 'ilf$utype'(X2,'binary$urelation$utype')
| member('ordered$upair'(X0,sK4(X0,X1,X2,X3)),X2) ),
inference(clausification,[status(esa)],[p1]) ).
cnf(c2,plain,
( ~ 'ilf$utype'(X2,'set$utype')
| ~ member('ordered$upair'(X2,X3),compose(X0,X1))
| ~ 'ilf$utype'(X3,'set$utype')
| member('ordered$upair'(sK4(X2,X3,X0,X1),X3),X1)
| ~ 'ilf$utype'(X1,'binary$urelation$utype')
| ~ 'ilf$utype'(X0,'binary$urelation$utype') ),
inference(clausification,[status(esa)],[p1]) ).
cnf(c3,plain,
( ~ 'ilf$utype'(X4,'set$utype')
| ~ 'ilf$utype'(X0,'set$utype')
| ~ member('ordered$upair'(X0,X4),X2)
| ~ 'ilf$utype'(X1,'set$utype')
| ~ 'ilf$utype'(X3,'binary$urelation$utype')
| ~ member('ordered$upair'(X4,X1),X3)
| ~ 'ilf$utype'(X2,'binary$urelation$utype')
| member('ordered$upair'(X0,X1),compose(X2,X3)) ),
inference(clausification,[status(esa)],[p1]) ).
cnf(c4,plain,
( ~ 'ilf$utype'(X3,'set$utype')
| ~ 'ilf$utype'(X2,'set$utype')
| ~ 'ilf$utype'(X4,'set$utype')
| ~ member('ordered$upair'(X0,X4),X1)
| member(X0,X2)
| ~ 'ilf$utype'(X1,'relation$utype'(X2,X3))
| ~ 'ilf$utype'(X0,'set$utype') ),
inference(clausification,[status(esa)],[p2]) ).
cnf(c10,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$utype') ),
inference(clausification,[status(esa)],[p5]) ).
cnf(c13,plain,
( ~ member(X1,X0)
| empty(X0)
| 'ilf$utype'(X1,'member$utype'(X0))
| ~ 'ilf$utype'(X1,'set$utype')
| ~ 'ilf$utype'(X0,'set$utype') ),
inference(clausification,[status(esa)],[p7]) ).
cnf(c25,plain,
( ~ 'relation$ulike'(X0)
| 'ilf$utype'(X0,'binary$urelation$utype')
| ~ 'ilf$utype'(X0,'set$utype') ),
inference(clausification,[status(esa)],[p15]) ).
cnf(c56,plain,
( 'relation$ulike'(X2)
| ~ 'ilf$utype'(X2,'subset$utype'('cross$uproduct'(X0,X1)))
| ~ 'ilf$utype'(X1,'set$utype')
| ~ 'ilf$utype'(X0,'set$utype') ),
inference(clausification,[status(esa)],[p26]) ).
cnf(c57,plain,
( ~ 'ilf$utype'(X3,'relation$utype'(X1,X0))
| ~ 'ilf$utype'(X1,'set$utype')
| ~ 'ilf$utype'(X2,'set$utype')
| ~ 'ilf$utype'(X4,'relation$utype'(X0,X2))
| compose5(X1,X0,X2,X3,X4) = compose(X3,X4)
| ~ 'ilf$utype'(X0,'set$utype') ),
inference(clausification,[status(esa)],[p27]) ).
cnf(c59,plain,
'ilf$utype'(X0,'set$utype'),
inference(clausification,[status(esa)],[p29]) ).
cnf(c62,plain,
~ empty(sK84),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c66,plain,
'ilf$utype'(sK86,'relation$utype'(sK83,sK84)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c67,plain,
'ilf$utype'(sK87,'relation$utype'(sK84,sK85)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c71,plain,
( 'ilf$utype'(sK91,'member$utype'(sK84))
| member('ordered$upair'(sK88,sK89),compose5(sK83,sK84,sK85,sK86,sK87)) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c72,plain,
( member('ordered$upair'(sK88,sK91),sK86)
| member('ordered$upair'(sK88,sK89),compose5(sK83,sK84,sK85,sK86,sK87)) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c73,plain,
( member('ordered$upair'(sK91,sK89),sK87)
| member('ordered$upair'(sK88,sK89),compose5(sK83,sK84,sK85,sK86,sK87)) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c74,plain,
( ~ member('ordered$upair'(sK88,sK89),compose5(sK83,sK84,sK85,sK86,sK87))
| ~ member('ordered$upair'(X0,sK89),sK87)
| ~ member('ordered$upair'(sK88,X0),sK86)
| ~ 'ilf$utype'(X0,'member$utype'(sK84)) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c75,plain,
( 'ilf$utype'(sK91,'member$utype'(sK84))
| ~ member('ordered$upair'(X0,sK89),sK87)
| ~ member('ordered$upair'(sK88,X0),sK86)
| ~ 'ilf$utype'(X0,'member$utype'(sK84)) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c76,plain,
( member('ordered$upair'(sK88,sK91),sK86)
| ~ member('ordered$upair'(X0,sK89),sK87)
| ~ member('ordered$upair'(sK88,X0),sK86)
| ~ 'ilf$utype'(X0,'member$utype'(sK84)) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c77,plain,
( member('ordered$upair'(sK91,sK89),sK87)
| ~ member('ordered$upair'(X0,sK89),sK87)
| ~ member('ordered$upair'(sK88,X0),sK86)
| ~ 'ilf$utype'(X0,'member$utype'(sK84)) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ 'relation$ulike'(X0)
| 'ilf$utype'(X0,'binary$urelation$utype') ),
inference(resolution,[status(thm)],[c59,c25]) ).
cnf(d1,plain,
( ~ 'ilf$utype'(X1,'set$utype')
| ~ 'ilf$utype'(X0,'set$utype')
| ~ 'ilf$utype'(X4,'relation$utype'(X1,X2))
| ~ 'ilf$utype'(X3,'relation$utype'(X0,X1))
| compose5(X0,X1,X2,X3,X4) = compose(X3,X4) ),
inference(resolution,[status(thm)],[c59,c57]) ).
cnf(d2,plain,
( ~ 'ilf$utype'(sK83,'set$utype')
| ~ 'ilf$utype'(sK84,'set$utype')
| ~ 'ilf$utype'(sK86,'relation$utype'(sK83,sK84))
| ~ 'ilf$utype'(sK87,'relation$utype'(sK84,sK85))
| 'ilf$utype'(sK91,'member$utype'(sK84))
| member('ordered$upair'(sK88,sK89),compose(sK86,sK87)) ),
inference(superposition,[status(thm)],[d1,c71]) ).
cnf(d3,plain,
( member('ordered$upair'(sK88,sK89),compose(sK86,sK87))
| 'ilf$utype'(sK91,'member$utype'(sK84))
| ~ 'ilf$utype'(sK87,'relation$utype'(sK84,sK85))
| ~ 'ilf$utype'(sK84,'set$utype')
| ~ 'ilf$utype'(sK83,'set$utype') ),
inference(resolution,[status(thm)],[c66,d2]) ).
cnf(d4,plain,
( member('ordered$upair'(sK88,sK89),compose(sK86,sK87))
| 'ilf$utype'(sK91,'member$utype'(sK84))
| ~ 'ilf$utype'(sK84,'set$utype')
| ~ 'ilf$utype'(sK83,'set$utype') ),
inference(resolution,[status(thm)],[c67,d3]) ).
cnf(d5,plain,
( member('ordered$upair'(sK88,sK89),compose(sK86,sK87))
| 'ilf$utype'(sK91,'member$utype'(sK84))
| ~ 'ilf$utype'(sK84,'set$utype') ),
inference(resolution,[status(thm)],[c59,d4]) ).
cnf(d6,plain,
( ~ member('ordered$upair'(sK4(sK88,X0,sK86,X1),sK89),sK87)
| 'ilf$utype'(sK91,'member$utype'(sK84))
| ~ 'ilf$utype'(sK4(sK88,X0,sK86,X1),'member$utype'(sK84))
| ~ member('ordered$upair'(sK88,X0),compose(sK86,X1))
| ~ 'ilf$utype'(X1,'binary$urelation$utype')
| ~ 'ilf$utype'(X0,'set$utype')
| ~ 'ilf$utype'(sK86,'binary$urelation$utype')
| ~ 'ilf$utype'(sK88,'set$utype') ),
inference(resolution,[status(thm)],[c1,c75]) ).
cnf(d7,plain,
( ~ member('ordered$upair'(sK88,X1),compose(sK86,X0))
| ~ member('ordered$upair'(sK4(sK88,X1,sK86,X0),sK89),sK87)
| 'ilf$utype'(sK91,'member$utype'(sK84))
| ~ 'ilf$utype'(sK88,'set$utype')
| ~ 'ilf$utype'(sK86,'binary$urelation$utype')
| ~ 'ilf$utype'(sK4(sK88,X1,sK86,X0),'member$utype'(sK84))
| ~ 'ilf$utype'(X0,'binary$urelation$utype') ),
inference(resolution,[status(thm)],[c59,d6]) ).
cnf(d8,plain,
( member('ordered$upair'(sK4(X3,X1,X0,X2),X1),X2)
| ~ member('ordered$upair'(X3,X1),compose(X0,X2))
| ~ 'ilf$utype'(X2,'binary$urelation$utype')
| ~ 'ilf$utype'(X1,'set$utype')
| ~ 'ilf$utype'(X0,'binary$urelation$utype') ),
inference(resolution,[status(thm)],[c59,c2]) ).
cnf(d9,plain,
( ~ member('ordered$upair'(sK88,sK89),compose(sK86,sK87))
| 'ilf$utype'(sK91,'member$utype'(sK84))
| ~ 'ilf$utype'(sK88,'set$utype')
| ~ 'ilf$utype'(sK86,'binary$urelation$utype')
| ~ 'ilf$utype'(sK4(sK88,sK89,sK86,sK87),'member$utype'(sK84))
| ~ 'ilf$utype'(sK87,'binary$urelation$utype')
| ~ member('ordered$upair'(sK88,sK89),compose(sK86,sK87))
| ~ 'ilf$utype'(sK86,'binary$urelation$utype')
| ~ 'ilf$utype'(sK89,'set$utype')
| ~ 'ilf$utype'(sK87,'binary$urelation$utype') ),
inference(resolution,[status(thm)],[d8,d7]) ).
cnf(d10,plain,
( ~ member('ordered$upair'(sK88,sK89),compose(sK86,sK87))
| 'ilf$utype'(sK91,'member$utype'(sK84))
| ~ 'ilf$utype'(sK89,'set$utype')
| ~ 'ilf$utype'(sK87,'binary$urelation$utype')
| ~ 'ilf$utype'(sK86,'binary$urelation$utype')
| ~ 'ilf$utype'(sK4(sK88,sK89,sK86,sK87),'member$utype'(sK84)) ),
inference(resolution,[status(thm)],[c59,d9]) ).
cnf(d11,plain,
( empty(X1)
| ~ member(X0,X1)
| ~ 'ilf$utype'(X1,'set$utype')
| 'ilf$utype'(X0,'member$utype'(X1)) ),
inference(resolution,[status(thm)],[c59,c13]) ).
cnf(d12,plain,
( ~ member('ordered$upair'(sK88,sK89),compose(sK86,sK87))
| 'ilf$utype'(sK91,'member$utype'(sK84))
| ~ 'ilf$utype'(sK89,'set$utype')
| ~ 'ilf$utype'(sK87,'binary$urelation$utype')
| ~ 'ilf$utype'(sK86,'binary$urelation$utype')
| empty(sK84)
| ~ member(sK4(sK88,sK89,sK86,sK87),sK84)
| ~ 'ilf$utype'(sK84,'set$utype') ),
inference(resolution,[status(thm)],[d11,d10]) ).
cnf(d13,plain,
( ~ member(sK4(sK88,sK89,sK86,sK87),sK84)
| ~ member('ordered$upair'(sK88,sK89),compose(sK86,sK87))
| 'ilf$utype'(sK91,'member$utype'(sK84))
| ~ 'ilf$utype'(sK89,'set$utype')
| ~ 'ilf$utype'(sK87,'binary$urelation$utype')
| ~ 'ilf$utype'(sK86,'binary$urelation$utype')
| ~ 'ilf$utype'(sK84,'set$utype') ),
inference(resolution,[status(thm)],[c62,d12]) ).
cnf(d14,plain,
( ~ member(sK4(sK88,sK89,sK86,sK87),sK84)
| ~ member('ordered$upair'(sK88,sK89),compose(sK86,sK87))
| 'ilf$utype'(sK91,'member$utype'(sK84))
| ~ 'ilf$utype'(sK89,'set$utype')
| ~ 'ilf$utype'(sK87,'binary$urelation$utype')
| ~ 'ilf$utype'(sK86,'binary$urelation$utype') ),
inference(resolution,[status(thm)],[c59,d13]) ).
cnf(d15,plain,
( ~ member('ordered$upair'(X0,X4),X2)
| member(X0,X3)
| ~ 'ilf$utype'(X3,'set$utype')
| ~ 'ilf$utype'(X2,'relation$utype'(X3,X1))
| ~ 'ilf$utype'(X1,'set$utype')
| ~ 'ilf$utype'(X0,'set$utype') ),
inference(resolution,[status(thm)],[c59,c4]) ).
cnf(d16,plain,
( ~ member('ordered$upair'(X3,X4),compose(X5,X1))
| ~ 'ilf$utype'(X5,'binary$urelation$utype')
| ~ 'ilf$utype'(X4,'set$utype')
| ~ 'ilf$utype'(X1,'binary$urelation$utype')
| member(sK4(X3,X4,X5,X1),X0)
| ~ 'ilf$utype'(sK4(X3,X4,X5,X1),'set$utype')
| ~ 'ilf$utype'(X2,'set$utype')
| ~ 'ilf$utype'(X1,'relation$utype'(X0,X2))
| ~ 'ilf$utype'(X0,'set$utype') ),
inference(resolution,[status(thm)],[d15,d8]) ).
cnf(d17,plain,
( member(sK4(X4,X5,X0,X2),X3)
| ~ member('ordered$upair'(X4,X5),compose(X0,X2))
| ~ 'ilf$utype'(sK4(X4,X5,X0,X2),'set$utype')
| ~ 'ilf$utype'(X3,'set$utype')
| ~ 'ilf$utype'(X2,'relation$utype'(X3,X1))
| ~ 'ilf$utype'(X2,'binary$urelation$utype')
| ~ 'ilf$utype'(X1,'set$utype')
| ~ 'ilf$utype'(X0,'binary$urelation$utype') ),
inference(resolution,[status(thm)],[c59,d16]) ).
cnf(d18,plain,
( 'ilf$utype'(sK91,'member$utype'(sK84))
| ~ 'ilf$utype'(sK84,'set$utype')
| member(sK4(sK88,sK89,sK86,sK87),X0)
| ~ 'ilf$utype'(sK4(sK88,sK89,sK86,sK87),'set$utype')
| ~ 'ilf$utype'(sK86,'binary$urelation$utype')
| ~ 'ilf$utype'(X1,'set$utype')
| ~ 'ilf$utype'(sK87,'relation$utype'(X0,X1))
| ~ 'ilf$utype'(sK87,'binary$urelation$utype')
| ~ 'ilf$utype'(X0,'set$utype') ),
inference(resolution,[status(thm)],[d17,d5]) ).
cnf(d19,plain,
( member(sK4(sK88,sK89,sK86,sK87),X0)
| 'ilf$utype'(sK91,'member$utype'(sK84))
| ~ 'ilf$utype'(sK87,'relation$utype'(X0,X1))
| ~ 'ilf$utype'(sK87,'binary$urelation$utype')
| ~ 'ilf$utype'(sK86,'binary$urelation$utype')
| ~ 'ilf$utype'(sK84,'set$utype')
| ~ 'ilf$utype'(sK4(sK88,sK89,sK86,sK87),'set$utype')
| ~ 'ilf$utype'(X0,'set$utype') ),
inference(resolution,[status(thm)],[c59,d18]) ).
cnf(d20,plain,
( member(sK4(sK88,sK89,sK86,sK87),X0)
| 'ilf$utype'(sK91,'member$utype'(sK84))
| ~ 'ilf$utype'(sK87,'relation$utype'(X0,X1))
| ~ 'ilf$utype'(sK87,'binary$urelation$utype')
| ~ 'ilf$utype'(sK86,'binary$urelation$utype')
| ~ 'ilf$utype'(sK84,'set$utype')
| ~ 'ilf$utype'(X0,'set$utype') ),
inference(resolution,[status(thm)],[d19,c59]) ).
cnf(d21,plain,
( member(sK4(sK88,sK89,sK86,sK87),X0)
| 'ilf$utype'(sK91,'member$utype'(sK84))
| ~ 'ilf$utype'(sK87,'relation$utype'(X0,X1))
| ~ 'ilf$utype'(sK87,'binary$urelation$utype')
| ~ 'ilf$utype'(sK86,'binary$urelation$utype')
| ~ 'ilf$utype'(sK84,'set$utype') ),
inference(resolution,[status(thm)],[c59,d20]) ).
cnf(d22,plain,
( ~ member('ordered$upair'(sK88,sK89),compose(sK86,sK87))
| 'ilf$utype'(sK91,'member$utype'(sK84))
| ~ 'ilf$utype'(sK89,'set$utype')
| ~ 'ilf$utype'(sK87,'binary$urelation$utype')
| ~ 'ilf$utype'(sK86,'binary$urelation$utype')
| 'ilf$utype'(sK91,'member$utype'(sK84))
| ~ 'ilf$utype'(sK87,'relation$utype'(sK84,X0))
| ~ 'ilf$utype'(sK87,'binary$urelation$utype')
| ~ 'ilf$utype'(sK86,'binary$urelation$utype')
| ~ 'ilf$utype'(sK84,'set$utype') ),
inference(resolution,[status(thm)],[d21,d14]) ).
cnf(d23,plain,
( ~ member('ordered$upair'(sK88,sK89),compose(sK86,sK87))
| 'ilf$utype'(sK91,'member$utype'(sK84))
| ~ 'ilf$utype'(sK89,'set$utype')
| ~ 'ilf$utype'(sK87,'relation$utype'(sK84,X0))
| ~ 'ilf$utype'(sK87,'binary$urelation$utype')
| ~ 'ilf$utype'(sK86,'binary$urelation$utype') ),
inference(resolution,[status(thm)],[c59,d22]) ).
cnf(d24,plain,
( 'ilf$utype'(sK91,'member$utype'(sK84))
| ~ 'ilf$utype'(sK84,'set$utype')
| 'ilf$utype'(sK91,'member$utype'(sK84))
| ~ 'ilf$utype'(sK89,'set$utype')
| ~ 'ilf$utype'(sK87,'relation$utype'(sK84,X0))
| ~ 'ilf$utype'(sK87,'binary$urelation$utype')
| ~ 'ilf$utype'(sK86,'binary$urelation$utype') ),
inference(resolution,[status(thm)],[d23,d5]) ).
cnf(d25,plain,
( 'ilf$utype'(sK91,'member$utype'(sK84))
| ~ 'ilf$utype'(sK89,'set$utype')
| ~ 'ilf$utype'(sK87,'relation$utype'(sK84,X0))
| ~ 'ilf$utype'(sK87,'binary$urelation$utype')
| ~ 'ilf$utype'(sK86,'binary$urelation$utype') ),
inference(resolution,[status(thm)],[c59,d24]) ).
cnf(d26,plain,
( 'ilf$utype'(sK91,'member$utype'(sK84))
| ~ 'ilf$utype'(sK89,'set$utype')
| ~ 'ilf$utype'(sK87,'binary$urelation$utype')
| ~ 'ilf$utype'(sK86,'binary$urelation$utype') ),
inference(resolution,[status(thm)],[d25,c67]) ).
cnf(d27,plain,
( 'ilf$utype'(sK91,'member$utype'(sK84))
| ~ 'ilf$utype'(sK87,'binary$urelation$utype')
| ~ 'ilf$utype'(sK86,'binary$urelation$utype') ),
inference(resolution,[status(thm)],[c59,d26]) ).
cnf(d28,plain,
( ~ 'ilf$utype'(sK83,'set$utype')
| ~ 'ilf$utype'(sK84,'set$utype')
| ~ 'ilf$utype'(sK86,'relation$utype'(sK83,sK84))
| ~ 'ilf$utype'(sK87,'relation$utype'(sK84,sK85))
| member('ordered$upair'(sK91,sK89),sK87)
| member('ordered$upair'(sK88,sK89),compose(sK86,sK87)) ),
inference(superposition,[status(thm)],[d1,c73]) ).
cnf(d29,plain,
( member('ordered$upair'(sK91,sK89),sK87)
| member('ordered$upair'(sK88,sK89),compose(sK86,sK87))
| ~ 'ilf$utype'(sK87,'relation$utype'(sK84,sK85))
| ~ 'ilf$utype'(sK84,'set$utype')
| ~ 'ilf$utype'(sK83,'set$utype') ),
inference(resolution,[status(thm)],[c66,d28]) ).
cnf(d30,plain,
( member('ordered$upair'(sK91,sK89),sK87)
| member('ordered$upair'(sK88,sK89),compose(sK86,sK87))
| ~ 'ilf$utype'(sK84,'set$utype')
| ~ 'ilf$utype'(sK83,'set$utype') ),
inference(resolution,[status(thm)],[c67,d29]) ).
cnf(d31,plain,
( member('ordered$upair'(sK91,sK89),sK87)
| member('ordered$upair'(sK88,sK89),compose(sK86,sK87))
| ~ 'ilf$utype'(sK84,'set$utype') ),
inference(resolution,[status(thm)],[c59,d30]) ).
cnf(d32,plain,
( member('ordered$upair'(sK91,sK89),sK87)
| ~ member('ordered$upair'(sK4(sK88,X0,sK86,X1),sK89),sK87)
| ~ 'ilf$utype'(sK4(sK88,X0,sK86,X1),'member$utype'(sK84))
| ~ member('ordered$upair'(sK88,X0),compose(sK86,X1))
| ~ 'ilf$utype'(X1,'binary$urelation$utype')
| ~ 'ilf$utype'(X0,'set$utype')
| ~ 'ilf$utype'(sK86,'binary$urelation$utype')
| ~ 'ilf$utype'(sK88,'set$utype') ),
inference(resolution,[status(thm)],[c1,c77]) ).
cnf(d33,plain,
( member('ordered$upair'(sK91,sK89),sK87)
| ~ member('ordered$upair'(sK88,X1),compose(sK86,X0))
| ~ member('ordered$upair'(sK4(sK88,X1,sK86,X0),sK89),sK87)
| ~ 'ilf$utype'(sK88,'set$utype')
| ~ 'ilf$utype'(sK86,'binary$urelation$utype')
| ~ 'ilf$utype'(sK4(sK88,X1,sK86,X0),'member$utype'(sK84))
| ~ 'ilf$utype'(X0,'binary$urelation$utype') ),
inference(resolution,[status(thm)],[c59,d32]) ).
cnf(d34,plain,
( member('ordered$upair'(sK91,sK89),sK87)
| ~ member('ordered$upair'(sK88,sK89),compose(sK86,sK87))
| ~ 'ilf$utype'(sK88,'set$utype')
| ~ 'ilf$utype'(sK86,'binary$urelation$utype')
| ~ 'ilf$utype'(sK4(sK88,sK89,sK86,sK87),'member$utype'(sK84))
| ~ 'ilf$utype'(sK87,'binary$urelation$utype')
| ~ member('ordered$upair'(sK88,sK89),compose(sK86,sK87))
| ~ 'ilf$utype'(sK86,'binary$urelation$utype')
| ~ 'ilf$utype'(sK89,'set$utype')
| ~ 'ilf$utype'(sK87,'binary$urelation$utype') ),
inference(resolution,[status(thm)],[d8,d33]) ).
cnf(d35,plain,
( member('ordered$upair'(sK91,sK89),sK87)
| ~ member('ordered$upair'(sK88,sK89),compose(sK86,sK87))
| ~ 'ilf$utype'(sK89,'set$utype')
| ~ 'ilf$utype'(sK87,'binary$urelation$utype')
| ~ 'ilf$utype'(sK86,'binary$urelation$utype')
| ~ 'ilf$utype'(sK4(sK88,sK89,sK86,sK87),'member$utype'(sK84)) ),
inference(resolution,[status(thm)],[c59,d34]) ).
cnf(d36,plain,
( member('ordered$upair'(sK91,sK89),sK87)
| ~ member('ordered$upair'(sK88,sK89),compose(sK86,sK87))
| ~ 'ilf$utype'(sK89,'set$utype')
| ~ 'ilf$utype'(sK87,'binary$urelation$utype')
| ~ 'ilf$utype'(sK86,'binary$urelation$utype')
| empty(sK84)
| ~ member(sK4(sK88,sK89,sK86,sK87),sK84)
| ~ 'ilf$utype'(sK84,'set$utype') ),
inference(resolution,[status(thm)],[d11,d35]) ).
cnf(d37,plain,
( ~ member(sK4(sK88,sK89,sK86,sK87),sK84)
| member('ordered$upair'(sK91,sK89),sK87)
| ~ member('ordered$upair'(sK88,sK89),compose(sK86,sK87))
| ~ 'ilf$utype'(sK89,'set$utype')
| ~ 'ilf$utype'(sK87,'binary$urelation$utype')
| ~ 'ilf$utype'(sK86,'binary$urelation$utype')
| ~ 'ilf$utype'(sK84,'set$utype') ),
inference(resolution,[status(thm)],[c62,d36]) ).
cnf(d38,plain,
( ~ member(sK4(sK88,sK89,sK86,sK87),sK84)
| member('ordered$upair'(sK91,sK89),sK87)
| ~ member('ordered$upair'(sK88,sK89),compose(sK86,sK87))
| ~ 'ilf$utype'(sK89,'set$utype')
| ~ 'ilf$utype'(sK87,'binary$urelation$utype')
| ~ 'ilf$utype'(sK86,'binary$urelation$utype') ),
inference(resolution,[status(thm)],[c59,d37]) ).
cnf(d39,plain,
( member('ordered$upair'(sK91,sK89),sK87)
| ~ 'ilf$utype'(sK84,'set$utype')
| member(sK4(sK88,sK89,sK86,sK87),X0)
| ~ 'ilf$utype'(sK4(sK88,sK89,sK86,sK87),'set$utype')
| ~ 'ilf$utype'(sK86,'binary$urelation$utype')
| ~ 'ilf$utype'(X1,'set$utype')
| ~ 'ilf$utype'(sK87,'relation$utype'(X0,X1))
| ~ 'ilf$utype'(sK87,'binary$urelation$utype')
| ~ 'ilf$utype'(X0,'set$utype') ),
inference(resolution,[status(thm)],[d17,d31]) ).
cnf(d40,plain,
( member(sK4(sK88,sK89,sK86,sK87),X0)
| member('ordered$upair'(sK91,sK89),sK87)
| ~ 'ilf$utype'(sK87,'relation$utype'(X0,X1))
| ~ 'ilf$utype'(sK87,'binary$urelation$utype')
| ~ 'ilf$utype'(sK86,'binary$urelation$utype')
| ~ 'ilf$utype'(sK84,'set$utype')
| ~ 'ilf$utype'(sK4(sK88,sK89,sK86,sK87),'set$utype')
| ~ 'ilf$utype'(X0,'set$utype') ),
inference(resolution,[status(thm)],[c59,d39]) ).
cnf(d41,plain,
( member(sK4(sK88,sK89,sK86,sK87),X0)
| member('ordered$upair'(sK91,sK89),sK87)
| ~ 'ilf$utype'(sK87,'relation$utype'(X0,X1))
| ~ 'ilf$utype'(sK87,'binary$urelation$utype')
| ~ 'ilf$utype'(sK86,'binary$urelation$utype')
| ~ 'ilf$utype'(sK84,'set$utype')
| ~ 'ilf$utype'(X0,'set$utype') ),
inference(resolution,[status(thm)],[d40,c59]) ).
cnf(d42,plain,
( member(sK4(sK88,sK89,sK86,sK87),X0)
| member('ordered$upair'(sK91,sK89),sK87)
| ~ 'ilf$utype'(sK87,'relation$utype'(X0,X1))
| ~ 'ilf$utype'(sK87,'binary$urelation$utype')
| ~ 'ilf$utype'(sK86,'binary$urelation$utype')
| ~ 'ilf$utype'(sK84,'set$utype') ),
inference(resolution,[status(thm)],[c59,d41]) ).
cnf(d43,plain,
( member('ordered$upair'(sK91,sK89),sK87)
| ~ member('ordered$upair'(sK88,sK89),compose(sK86,sK87))
| ~ 'ilf$utype'(sK89,'set$utype')
| ~ 'ilf$utype'(sK87,'binary$urelation$utype')
| ~ 'ilf$utype'(sK86,'binary$urelation$utype')
| member('ordered$upair'(sK91,sK89),sK87)
| ~ 'ilf$utype'(sK87,'relation$utype'(sK84,X0))
| ~ 'ilf$utype'(sK87,'binary$urelation$utype')
| ~ 'ilf$utype'(sK86,'binary$urelation$utype')
| ~ 'ilf$utype'(sK84,'set$utype') ),
inference(resolution,[status(thm)],[d42,d38]) ).
cnf(d44,plain,
( member('ordered$upair'(sK91,sK89),sK87)
| ~ member('ordered$upair'(sK88,sK89),compose(sK86,sK87))
| ~ 'ilf$utype'(sK89,'set$utype')
| ~ 'ilf$utype'(sK87,'relation$utype'(sK84,X0))
| ~ 'ilf$utype'(sK87,'binary$urelation$utype')
| ~ 'ilf$utype'(sK86,'binary$urelation$utype') ),
inference(resolution,[status(thm)],[c59,d43]) ).
cnf(d45,plain,
( member('ordered$upair'(sK91,sK89),sK87)
| ~ 'ilf$utype'(sK84,'set$utype')
| member('ordered$upair'(sK91,sK89),sK87)
| ~ 'ilf$utype'(sK89,'set$utype')
| ~ 'ilf$utype'(sK87,'relation$utype'(sK84,X0))
| ~ 'ilf$utype'(sK87,'binary$urelation$utype')
| ~ 'ilf$utype'(sK86,'binary$urelation$utype') ),
inference(resolution,[status(thm)],[d44,d31]) ).
cnf(d46,plain,
( member('ordered$upair'(sK91,sK89),sK87)
| ~ 'ilf$utype'(sK89,'set$utype')
| ~ 'ilf$utype'(sK87,'relation$utype'(sK84,X0))
| ~ 'ilf$utype'(sK87,'binary$urelation$utype')
| ~ 'ilf$utype'(sK86,'binary$urelation$utype') ),
inference(resolution,[status(thm)],[c59,d45]) ).
cnf(d47,plain,
( member('ordered$upair'(sK91,sK89),sK87)
| ~ 'ilf$utype'(sK89,'set$utype')
| ~ 'ilf$utype'(sK87,'binary$urelation$utype')
| ~ 'ilf$utype'(sK86,'binary$urelation$utype') ),
inference(resolution,[status(thm)],[d46,c67]) ).
cnf(d48,plain,
( member('ordered$upair'(sK91,sK89),sK87)
| ~ 'ilf$utype'(sK87,'binary$urelation$utype')
| ~ 'ilf$utype'(sK86,'binary$urelation$utype') ),
inference(resolution,[status(thm)],[c59,d47]) ).
cnf(d49,plain,
( ~ 'ilf$utype'(sK83,'set$utype')
| ~ 'ilf$utype'(sK84,'set$utype')
| ~ 'ilf$utype'(sK86,'relation$utype'(sK83,sK84))
| ~ 'ilf$utype'(sK87,'relation$utype'(sK84,sK85))
| member('ordered$upair'(sK88,sK91),sK86)
| member('ordered$upair'(sK88,sK89),compose(sK86,sK87)) ),
inference(superposition,[status(thm)],[d1,c72]) ).
cnf(d50,plain,
( member('ordered$upair'(sK88,sK91),sK86)
| member('ordered$upair'(sK88,sK89),compose(sK86,sK87))
| ~ 'ilf$utype'(sK87,'relation$utype'(sK84,sK85))
| ~ 'ilf$utype'(sK84,'set$utype')
| ~ 'ilf$utype'(sK83,'set$utype') ),
inference(resolution,[status(thm)],[c66,d49]) ).
cnf(d51,plain,
( member('ordered$upair'(sK88,sK91),sK86)
| member('ordered$upair'(sK88,sK89),compose(sK86,sK87))
| ~ 'ilf$utype'(sK84,'set$utype')
| ~ 'ilf$utype'(sK83,'set$utype') ),
inference(resolution,[status(thm)],[c67,d50]) ).
cnf(d52,plain,
( member('ordered$upair'(sK88,sK91),sK86)
| member('ordered$upair'(sK88,sK89),compose(sK86,sK87))
| ~ 'ilf$utype'(sK84,'set$utype') ),
inference(resolution,[status(thm)],[c59,d51]) ).
cnf(d53,plain,
( member('ordered$upair'(sK88,sK91),sK86)
| ~ member('ordered$upair'(sK4(sK88,X0,sK86,X1),sK89),sK87)
| ~ 'ilf$utype'(sK4(sK88,X0,sK86,X1),'member$utype'(sK84))
| ~ member('ordered$upair'(sK88,X0),compose(sK86,X1))
| ~ 'ilf$utype'(X1,'binary$urelation$utype')
| ~ 'ilf$utype'(X0,'set$utype')
| ~ 'ilf$utype'(sK86,'binary$urelation$utype')
| ~ 'ilf$utype'(sK88,'set$utype') ),
inference(resolution,[status(thm)],[c1,c76]) ).
cnf(d54,plain,
( member('ordered$upair'(sK88,sK91),sK86)
| ~ member('ordered$upair'(sK88,X1),compose(sK86,X0))
| ~ member('ordered$upair'(sK4(sK88,X1,sK86,X0),sK89),sK87)
| ~ 'ilf$utype'(sK88,'set$utype')
| ~ 'ilf$utype'(sK86,'binary$urelation$utype')
| ~ 'ilf$utype'(sK4(sK88,X1,sK86,X0),'member$utype'(sK84))
| ~ 'ilf$utype'(X0,'binary$urelation$utype') ),
inference(resolution,[status(thm)],[c59,d53]) ).
cnf(d55,plain,
( member('ordered$upair'(sK88,sK91),sK86)
| ~ member('ordered$upair'(sK88,sK89),compose(sK86,sK87))
| ~ 'ilf$utype'(sK88,'set$utype')
| ~ 'ilf$utype'(sK86,'binary$urelation$utype')
| ~ 'ilf$utype'(sK4(sK88,sK89,sK86,sK87),'member$utype'(sK84))
| ~ 'ilf$utype'(sK87,'binary$urelation$utype')
| ~ member('ordered$upair'(sK88,sK89),compose(sK86,sK87))
| ~ 'ilf$utype'(sK86,'binary$urelation$utype')
| ~ 'ilf$utype'(sK89,'set$utype')
| ~ 'ilf$utype'(sK87,'binary$urelation$utype') ),
inference(resolution,[status(thm)],[d8,d54]) ).
cnf(d56,plain,
( member('ordered$upair'(sK88,sK91),sK86)
| ~ member('ordered$upair'(sK88,sK89),compose(sK86,sK87))
| ~ 'ilf$utype'(sK89,'set$utype')
| ~ 'ilf$utype'(sK87,'binary$urelation$utype')
| ~ 'ilf$utype'(sK86,'binary$urelation$utype')
| ~ 'ilf$utype'(sK4(sK88,sK89,sK86,sK87),'member$utype'(sK84)) ),
inference(resolution,[status(thm)],[c59,d55]) ).
cnf(d57,plain,
( member('ordered$upair'(sK88,sK91),sK86)
| ~ member('ordered$upair'(sK88,sK89),compose(sK86,sK87))
| ~ 'ilf$utype'(sK89,'set$utype')
| ~ 'ilf$utype'(sK87,'binary$urelation$utype')
| ~ 'ilf$utype'(sK86,'binary$urelation$utype')
| empty(sK84)
| ~ member(sK4(sK88,sK89,sK86,sK87),sK84)
| ~ 'ilf$utype'(sK84,'set$utype') ),
inference(resolution,[status(thm)],[d11,d56]) ).
cnf(d58,plain,
( ~ member(sK4(sK88,sK89,sK86,sK87),sK84)
| member('ordered$upair'(sK88,sK91),sK86)
| ~ member('ordered$upair'(sK88,sK89),compose(sK86,sK87))
| ~ 'ilf$utype'(sK89,'set$utype')
| ~ 'ilf$utype'(sK87,'binary$urelation$utype')
| ~ 'ilf$utype'(sK86,'binary$urelation$utype')
| ~ 'ilf$utype'(sK84,'set$utype') ),
inference(resolution,[status(thm)],[c62,d57]) ).
cnf(d59,plain,
( ~ member(sK4(sK88,sK89,sK86,sK87),sK84)
| member('ordered$upair'(sK88,sK91),sK86)
| ~ member('ordered$upair'(sK88,sK89),compose(sK86,sK87))
| ~ 'ilf$utype'(sK89,'set$utype')
| ~ 'ilf$utype'(sK87,'binary$urelation$utype')
| ~ 'ilf$utype'(sK86,'binary$urelation$utype') ),
inference(resolution,[status(thm)],[c59,d58]) ).
cnf(d60,plain,
( member('ordered$upair'(sK88,sK91),sK86)
| ~ 'ilf$utype'(sK84,'set$utype')
| member(sK4(sK88,sK89,sK86,sK87),X0)
| ~ 'ilf$utype'(sK4(sK88,sK89,sK86,sK87),'set$utype')
| ~ 'ilf$utype'(sK86,'binary$urelation$utype')
| ~ 'ilf$utype'(X1,'set$utype')
| ~ 'ilf$utype'(sK87,'relation$utype'(X0,X1))
| ~ 'ilf$utype'(sK87,'binary$urelation$utype')
| ~ 'ilf$utype'(X0,'set$utype') ),
inference(resolution,[status(thm)],[d17,d52]) ).
cnf(d61,plain,
( member(sK4(sK88,sK89,sK86,sK87),X0)
| member('ordered$upair'(sK88,sK91),sK86)
| ~ 'ilf$utype'(sK87,'relation$utype'(X0,X1))
| ~ 'ilf$utype'(sK87,'binary$urelation$utype')
| ~ 'ilf$utype'(sK86,'binary$urelation$utype')
| ~ 'ilf$utype'(sK84,'set$utype')
| ~ 'ilf$utype'(sK4(sK88,sK89,sK86,sK87),'set$utype')
| ~ 'ilf$utype'(X0,'set$utype') ),
inference(resolution,[status(thm)],[c59,d60]) ).
cnf(d62,plain,
( member(sK4(sK88,sK89,sK86,sK87),X0)
| member('ordered$upair'(sK88,sK91),sK86)
| ~ 'ilf$utype'(sK87,'relation$utype'(X0,X1))
| ~ 'ilf$utype'(sK87,'binary$urelation$utype')
| ~ 'ilf$utype'(sK86,'binary$urelation$utype')
| ~ 'ilf$utype'(sK84,'set$utype')
| ~ 'ilf$utype'(X0,'set$utype') ),
inference(resolution,[status(thm)],[d61,c59]) ).
cnf(d63,plain,
( member(sK4(sK88,sK89,sK86,sK87),X0)
| member('ordered$upair'(sK88,sK91),sK86)
| ~ 'ilf$utype'(sK87,'relation$utype'(X0,X1))
| ~ 'ilf$utype'(sK87,'binary$urelation$utype')
| ~ 'ilf$utype'(sK86,'binary$urelation$utype')
| ~ 'ilf$utype'(sK84,'set$utype') ),
inference(resolution,[status(thm)],[c59,d62]) ).
cnf(d64,plain,
( member('ordered$upair'(sK88,sK91),sK86)
| ~ member('ordered$upair'(sK88,sK89),compose(sK86,sK87))
| ~ 'ilf$utype'(sK89,'set$utype')
| ~ 'ilf$utype'(sK87,'binary$urelation$utype')
| ~ 'ilf$utype'(sK86,'binary$urelation$utype')
| member('ordered$upair'(sK88,sK91),sK86)
| ~ 'ilf$utype'(sK87,'relation$utype'(sK84,X0))
| ~ 'ilf$utype'(sK87,'binary$urelation$utype')
| ~ 'ilf$utype'(sK86,'binary$urelation$utype')
| ~ 'ilf$utype'(sK84,'set$utype') ),
inference(resolution,[status(thm)],[d63,d59]) ).
cnf(d65,plain,
( member('ordered$upair'(sK88,sK91),sK86)
| ~ member('ordered$upair'(sK88,sK89),compose(sK86,sK87))
| ~ 'ilf$utype'(sK89,'set$utype')
| ~ 'ilf$utype'(sK87,'relation$utype'(sK84,X0))
| ~ 'ilf$utype'(sK87,'binary$urelation$utype')
| ~ 'ilf$utype'(sK86,'binary$urelation$utype') ),
inference(resolution,[status(thm)],[c59,d64]) ).
cnf(d66,plain,
( member('ordered$upair'(sK88,sK91),sK86)
| ~ 'ilf$utype'(sK84,'set$utype')
| member('ordered$upair'(sK88,sK91),sK86)
| ~ 'ilf$utype'(sK89,'set$utype')
| ~ 'ilf$utype'(sK87,'relation$utype'(sK84,X0))
| ~ 'ilf$utype'(sK87,'binary$urelation$utype')
| ~ 'ilf$utype'(sK86,'binary$urelation$utype') ),
inference(resolution,[status(thm)],[d65,d52]) ).
cnf(d67,plain,
( member('ordered$upair'(sK88,sK91),sK86)
| ~ 'ilf$utype'(sK89,'set$utype')
| ~ 'ilf$utype'(sK87,'relation$utype'(sK84,X0))
| ~ 'ilf$utype'(sK87,'binary$urelation$utype')
| ~ 'ilf$utype'(sK86,'binary$urelation$utype') ),
inference(resolution,[status(thm)],[c59,d66]) ).
cnf(d68,plain,
( member('ordered$upair'(sK88,sK91),sK86)
| ~ 'ilf$utype'(sK89,'set$utype')
| ~ 'ilf$utype'(sK87,'binary$urelation$utype')
| ~ 'ilf$utype'(sK86,'binary$urelation$utype') ),
inference(resolution,[status(thm)],[d67,c67]) ).
cnf(d69,plain,
( member('ordered$upair'(sK88,sK91),sK86)
| ~ 'ilf$utype'(sK87,'binary$urelation$utype')
| ~ 'ilf$utype'(sK86,'binary$urelation$utype') ),
inference(resolution,[status(thm)],[c59,d68]) ).
cnf(d70,plain,
( member('ordered$upair'(X3,X1),compose(X0,X2))
| ~ member('ordered$upair'(X3,X4),X0)
| ~ member('ordered$upair'(X4,X1),X2)
| ~ 'ilf$utype'(X3,'set$utype')
| ~ 'ilf$utype'(X2,'binary$urelation$utype')
| ~ 'ilf$utype'(X1,'set$utype')
| ~ 'ilf$utype'(X0,'binary$urelation$utype') ),
inference(resolution,[status(thm)],[c59,c3]) ).
cnf(d71,plain,
( ~ 'ilf$utype'(sK83,'set$utype')
| ~ 'ilf$utype'(sK84,'set$utype')
| ~ 'ilf$utype'(sK86,'relation$utype'(sK83,sK84))
| ~ 'ilf$utype'(sK87,'relation$utype'(sK84,sK85))
| ~ member('ordered$upair'(sK88,X0),sK86)
| ~ member('ordered$upair'(X0,sK89),sK87)
| ~ 'ilf$utype'(X0,'member$utype'(sK84))
| ~ member('ordered$upair'(sK88,sK89),compose(sK86,sK87)) ),
inference(superposition,[status(thm)],[d1,c74]) ).
cnf(d72,plain,
( ~ member('ordered$upair'(sK88,sK89),compose(sK86,sK87))
| ~ member('ordered$upair'(sK88,X0),sK86)
| ~ member('ordered$upair'(X0,sK89),sK87)
| ~ 'ilf$utype'(sK87,'relation$utype'(sK84,sK85))
| ~ 'ilf$utype'(sK84,'set$utype')
| ~ 'ilf$utype'(sK83,'set$utype')
| ~ 'ilf$utype'(X0,'member$utype'(sK84)) ),
inference(resolution,[status(thm)],[c66,d71]) ).
cnf(d73,plain,
( ~ member('ordered$upair'(sK88,sK89),compose(sK86,sK87))
| ~ member('ordered$upair'(sK88,X0),sK86)
| ~ member('ordered$upair'(X0,sK89),sK87)
| ~ 'ilf$utype'(sK84,'set$utype')
| ~ 'ilf$utype'(sK83,'set$utype')
| ~ 'ilf$utype'(X0,'member$utype'(sK84)) ),
inference(resolution,[status(thm)],[c67,d72]) ).
cnf(d74,plain,
( ~ member('ordered$upair'(sK88,sK89),compose(sK86,sK87))
| ~ member('ordered$upair'(sK88,X0),sK86)
| ~ member('ordered$upair'(X0,sK89),sK87)
| ~ 'ilf$utype'(sK84,'set$utype')
| ~ 'ilf$utype'(X0,'member$utype'(sK84)) ),
inference(resolution,[status(thm)],[c59,d73]) ).
cnf(d75,plain,
( ~ member('ordered$upair'(sK88,X1),sK86)
| ~ member('ordered$upair'(X1,sK89),sK87)
| ~ 'ilf$utype'(sK86,'binary$urelation$utype')
| ~ 'ilf$utype'(sK89,'set$utype')
| ~ 'ilf$utype'(sK87,'binary$urelation$utype')
| ~ 'ilf$utype'(sK88,'set$utype')
| ~ member('ordered$upair'(sK88,X0),sK86)
| ~ member('ordered$upair'(X0,sK89),sK87)
| ~ 'ilf$utype'(sK84,'set$utype')
| ~ 'ilf$utype'(X0,'member$utype'(sK84)) ),
inference(resolution,[status(thm)],[d74,d70]) ).
cnf(d76,plain,
( ~ member('ordered$upair'(sK88,X0),sK86)
| ~ member('ordered$upair'(sK88,X1),sK86)
| ~ member('ordered$upair'(X0,sK89),sK87)
| ~ member('ordered$upair'(X1,sK89),sK87)
| ~ 'ilf$utype'(sK89,'set$utype')
| ~ 'ilf$utype'(sK88,'set$utype')
| ~ 'ilf$utype'(sK87,'binary$urelation$utype')
| ~ 'ilf$utype'(sK86,'binary$urelation$utype')
| ~ 'ilf$utype'(X0,'member$utype'(sK84)) ),
inference(resolution,[status(thm)],[c59,d75]) ).
cnf(d77,plain,
( ~ member('ordered$upair'(sK88,X0),sK86)
| ~ member('ordered$upair'(sK91,sK89),sK87)
| ~ member('ordered$upair'(X0,sK89),sK87)
| ~ 'ilf$utype'(sK89,'set$utype')
| ~ 'ilf$utype'(sK88,'set$utype')
| ~ 'ilf$utype'(sK87,'binary$urelation$utype')
| ~ 'ilf$utype'(sK86,'binary$urelation$utype')
| ~ 'ilf$utype'(sK91,'member$utype'(sK84))
| ~ 'ilf$utype'(sK87,'binary$urelation$utype')
| ~ 'ilf$utype'(sK86,'binary$urelation$utype') ),
inference(resolution,[status(thm)],[d69,d76]) ).
cnf(d78,plain,
( ~ member('ordered$upair'(sK91,sK89),sK87)
| ~ member('ordered$upair'(sK88,X0),sK86)
| ~ member('ordered$upair'(X0,sK89),sK87)
| ~ 'ilf$utype'(sK91,'member$utype'(sK84))
| ~ 'ilf$utype'(sK89,'set$utype')
| ~ 'ilf$utype'(sK87,'binary$urelation$utype')
| ~ 'ilf$utype'(sK86,'binary$urelation$utype') ),
inference(resolution,[status(thm)],[c59,d77]) ).
cnf(d79,plain,
( ~ member('ordered$upair'(sK88,X0),sK86)
| ~ member('ordered$upair'(X0,sK89),sK87)
| ~ 'ilf$utype'(sK91,'member$utype'(sK84))
| ~ 'ilf$utype'(sK89,'set$utype')
| ~ 'ilf$utype'(sK87,'binary$urelation$utype')
| ~ 'ilf$utype'(sK86,'binary$urelation$utype')
| ~ 'ilf$utype'(sK87,'binary$urelation$utype')
| ~ 'ilf$utype'(sK86,'binary$urelation$utype') ),
inference(resolution,[status(thm)],[d48,d78]) ).
cnf(d80,plain,
( ~ member('ordered$upair'(sK88,X0),sK86)
| ~ member('ordered$upair'(X0,sK89),sK87)
| ~ 'ilf$utype'(sK91,'member$utype'(sK84))
| ~ 'ilf$utype'(sK87,'binary$urelation$utype')
| ~ 'ilf$utype'(sK86,'binary$urelation$utype') ),
inference(resolution,[status(thm)],[c59,d79]) ).
cnf(d81,plain,
( ~ 'ilf$utype'(sK87,'binary$urelation$utype')
| ~ 'ilf$utype'(sK86,'binary$urelation$utype')
| ~ member('ordered$upair'(sK91,sK89),sK87)
| ~ 'ilf$utype'(sK91,'member$utype'(sK84))
| ~ 'ilf$utype'(sK87,'binary$urelation$utype')
| ~ 'ilf$utype'(sK86,'binary$urelation$utype') ),
inference(resolution,[status(thm)],[d80,d69]) ).
cnf(d82,plain,
( ~ 'ilf$utype'(sK87,'binary$urelation$utype')
| ~ 'ilf$utype'(sK86,'binary$urelation$utype')
| ~ 'ilf$utype'(sK91,'member$utype'(sK84))
| ~ 'ilf$utype'(sK87,'binary$urelation$utype')
| ~ 'ilf$utype'(sK86,'binary$urelation$utype') ),
inference(resolution,[status(thm)],[d81,d48]) ).
cnf(d83,plain,
( ~ 'ilf$utype'(sK87,'binary$urelation$utype')
| ~ 'ilf$utype'(sK86,'binary$urelation$utype')
| ~ 'ilf$utype'(sK87,'binary$urelation$utype')
| ~ 'ilf$utype'(sK86,'binary$urelation$utype') ),
inference(resolution,[status(thm)],[d82,d27]) ).
cnf(d84,plain,
( ~ 'relation$ulike'(sK87)
| ~ 'ilf$utype'(sK86,'binary$urelation$utype') ),
inference(resolution,[status(thm)],[d83,d0]) ).
cnf(d85,plain,
( 'relation$ulike'(X0)
| ~ 'ilf$utype'(X2,'set$utype')
| ~ 'ilf$utype'(X0,'subset$utype'('cross$uproduct'(X1,X2))) ),
inference(resolution,[status(thm)],[c59,c56]) ).
cnf(d86,plain,
( 'ilf$utype'(X1,'subset$utype'('cross$uproduct'(X0,X2)))
| ~ 'ilf$utype'(X1,'relation$utype'(X0,X2))
| ~ 'ilf$utype'(X0,'set$utype') ),
inference(resolution,[status(thm)],[c59,c10]) ).
cnf(d87,plain,
( 'relation$ulike'(X0)
| ~ 'ilf$utype'(X2,'set$utype')
| ~ 'ilf$utype'(X1,'set$utype')
| ~ 'ilf$utype'(X0,'relation$utype'(X1,X2)) ),
inference(resolution,[status(thm)],[d86,d85]) ).
cnf(d88,plain,
( 'relation$ulike'(X1)
| ~ 'ilf$utype'(X1,'relation$utype'(X0,X2))
| ~ 'ilf$utype'(X0,'set$utype') ),
inference(resolution,[status(thm)],[c59,d87]) ).
cnf(d89,plain,
( 'relation$ulike'(sK87)
| ~ 'ilf$utype'(sK84,'set$utype') ),
inference(resolution,[status(thm)],[d88,c67]) ).
cnf(d90,plain,
'relation$ulike'(sK87),
inference(resolution,[status(thm)],[c59,d89]) ).
cnf(d91,plain,
~ 'ilf$utype'(sK86,'binary$urelation$utype'),
inference(resolution,[status(thm)],[d90,d84]) ).
cnf(d92,plain,
~ 'relation$ulike'(sK86),
inference(resolution,[status(thm)],[d91,d0]) ).
cnf(d93,plain,
( 'relation$ulike'(sK86)
| ~ 'ilf$utype'(sK83,'set$utype') ),
inference(resolution,[status(thm)],[d88,c66]) ).
cnf(d94,plain,
'relation$ulike'(sK86),
inference(resolution,[status(thm)],[c59,d93]) ).
cnf(d95,plain,
$false,
inference(resolution,[status(thm)],[d94,d92]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SET684+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.02 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.31 % CPULimit : 300
% 0.03/0.31 % WCLimit : 300
% 0.03/0.31 % DateTime : Sat Sep 26 08:04:36 UTC 2026
% 0.03/0.31 % CPUTime :
% 0.03/0.31 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.21/2.97 % SZS status Theorem for theBenchmark.p
% 17.21/2.97 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------