%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LAT294+1 : TPTP v9.3.1. Released v3.4.0.
% 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 07:48:09 AM UTC 2026
% Result : Theorem 27.26s 19.04s
% Output : CNFRefutation 27.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 3
% Syntax : Number of formulae : 91 ( 25 unt; 0 def)
% Number of atoms : 657 ( 40 equ)
% Maximal formula atoms : 21 ( 7 avg)
% Number of connectives : 1053 ( 487 ~; 502 |; 38 &)
% ( 1 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 112 ( 0 sgn 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d11_binop_1,axiom,
! [X0,X1] :
( ( 'm2$urelset$u1'(X1,'k2$uzfmisc$u1'(X0,X0),X0)
& 'v1$ufunct$u2'(X1,'k2$uzfmisc$u1'(X0,X0),X0)
& 'v1$ufunct$u1'(X1) )
=> ! [X2] :
( ( 'm2$urelset$u1'(X2,'k2$uzfmisc$u1'(X0,X0),X0)
& 'v1$ufunct$u2'(X2,'k2$uzfmisc$u1'(X0,X0),X0)
& 'v1$ufunct$u1'(X2) )
=> ( 'r6$ubinop$u1'(X0,X1,X2)
<=> ( 'r5$ubinop$u1'(X0,X1,X2)
& 'r4$ubinop$u1'(X0,X1,X2) ) ) ) ) ).
fof(t3_filter_2,axiom,
! [X0] :
( ~ 'v1$uxboole$u0'(X0)
=> ! [X1] :
( ( 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'(X0))
& ~ 'v1$uxboole$u0'(X1) )
=> ! [X2] :
( ( 'm2$urelset$u1'(X2,'k2$uzfmisc$u1'(X0,X0),X0)
& 'v1$ufunct$u2'(X2,'k2$uzfmisc$u1'(X0,X0),X0)
& 'v1$ufunct$u1'(X2) )
=> ! [X3] :
( ( 'm2$urelset$u1'(X3,'k2$uzfmisc$u1'(X0,X0),X0)
& 'v1$ufunct$u2'(X3,'k2$uzfmisc$u1'(X0,X0),X0)
& 'v1$ufunct$u1'(X3) )
=> ! [X4] :
( ( 'm2$urelset$u1'(X4,'k2$uzfmisc$u1'(X1,X1),X1)
& 'v1$ufunct$u2'(X4,'k2$uzfmisc$u1'(X1,X1),X1)
& 'v1$ufunct$u1'(X4) )
=> ! [X5] :
( ( 'm2$urelset$u1'(X5,'k2$uzfmisc$u1'(X1,X1),X1)
& 'v1$ufunct$u2'(X5,'k2$uzfmisc$u1'(X1,X1),X1)
& 'v1$ufunct$u1'(X5) )
=> ( ( X5 = 'k1$urealset1'(X3,X1)
& X4 = 'k1$urealset1'(X2,X1) )
=> ( ( 'r5$ubinop$u1'(X0,X2,X3)
=> 'r5$ubinop$u1'(X1,X4,X5) )
& ( 'r4$ubinop$u1'(X0,X2,X3)
=> 'r4$ubinop$u1'(X1,X4,X5) ) ) ) ) ) ) ) ) ) ).
fof(t4_filter_2,conjecture,
! [X0] :
( ~ 'v1$uxboole$u0'(X0)
=> ! [X1] :
( ( 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'(X0))
& ~ 'v1$uxboole$u0'(X1) )
=> ! [X2] :
( ( 'm2$urelset$u1'(X2,'k2$uzfmisc$u1'(X0,X0),X0)
& 'v1$ufunct$u2'(X2,'k2$uzfmisc$u1'(X0,X0),X0)
& 'v1$ufunct$u1'(X2) )
=> ! [X3] :
( ( 'm2$urelset$u1'(X3,'k2$uzfmisc$u1'(X0,X0),X0)
& 'v1$ufunct$u2'(X3,'k2$uzfmisc$u1'(X0,X0),X0)
& 'v1$ufunct$u1'(X3) )
=> ! [X4] :
( ( 'm2$urelset$u1'(X4,'k2$uzfmisc$u1'(X1,X1),X1)
& 'v1$ufunct$u2'(X4,'k2$uzfmisc$u1'(X1,X1),X1)
& 'v1$ufunct$u1'(X4) )
=> ! [X5] :
( ( 'm2$urelset$u1'(X5,'k2$uzfmisc$u1'(X1,X1),X1)
& 'v1$ufunct$u2'(X5,'k2$uzfmisc$u1'(X1,X1),X1)
& 'v1$ufunct$u1'(X5) )
=> ( ( 'r6$ubinop$u1'(X0,X2,X3)
& X5 = 'k1$urealset1'(X3,X1)
& X4 = 'k1$urealset1'(X2,X1) )
=> 'r6$ubinop$u1'(X1,X4,X5) ) ) ) ) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( ~ 'v1$uxboole$u0'(X0)
=> ! [X1] :
( ( 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'(X0))
& ~ 'v1$uxboole$u0'(X1) )
=> ! [X2] :
( ( 'm2$urelset$u1'(X2,'k2$uzfmisc$u1'(X0,X0),X0)
& 'v1$ufunct$u2'(X2,'k2$uzfmisc$u1'(X0,X0),X0)
& 'v1$ufunct$u1'(X2) )
=> ! [X3] :
( ( 'm2$urelset$u1'(X3,'k2$uzfmisc$u1'(X0,X0),X0)
& 'v1$ufunct$u2'(X3,'k2$uzfmisc$u1'(X0,X0),X0)
& 'v1$ufunct$u1'(X3) )
=> ! [X4] :
( ( 'm2$urelset$u1'(X4,'k2$uzfmisc$u1'(X1,X1),X1)
& 'v1$ufunct$u2'(X4,'k2$uzfmisc$u1'(X1,X1),X1)
& 'v1$ufunct$u1'(X4) )
=> ! [X5] :
( ( 'm2$urelset$u1'(X5,'k2$uzfmisc$u1'(X1,X1),X1)
& 'v1$ufunct$u2'(X5,'k2$uzfmisc$u1'(X1,X1),X1)
& 'v1$ufunct$u1'(X5) )
=> ( ( 'r6$ubinop$u1'(X0,X2,X3)
& X5 = 'k1$urealset1'(X3,X1)
& X4 = 'k1$urealset1'(X2,X1) )
=> 'r6$ubinop$u1'(X1,X4,X5) ) ) ) ) ) ) ),
inference(negate_conjecture,[status(cth)],[t4_filter_2]) ).
cnf(c6,plain,
( ~ 'v1$ufunct$u1'(X1)
| ~ 'v1$ufunct$u2'(X1,'k2$uzfmisc$u1'(X0,X0),X0)
| ~ 'm2$urelset$u1'(X2,'k2$uzfmisc$u1'(X0,X0),X0)
| ~ 'v1$ufunct$u2'(X2,'k2$uzfmisc$u1'(X0,X0),X0)
| ~ 'm2$urelset$u1'(X1,'k2$uzfmisc$u1'(X0,X0),X0)
| 'r4$ubinop$u1'(X0,X1,X2)
| ~ 'v1$ufunct$u1'(X2)
| ~ 'r6$ubinop$u1'(X0,X1,X2) ),
inference(clausification,[status(esa)],[d11_binop_1]) ).
cnf(c7,plain,
( ~ 'v1$ufunct$u1'(X1)
| ~ 'v1$ufunct$u2'(X1,'k2$uzfmisc$u1'(X0,X0),X0)
| ~ 'm2$urelset$u1'(X2,'k2$uzfmisc$u1'(X0,X0),X0)
| ~ 'v1$ufunct$u2'(X2,'k2$uzfmisc$u1'(X0,X0),X0)
| ~ 'm2$urelset$u1'(X1,'k2$uzfmisc$u1'(X0,X0),X0)
| 'r5$ubinop$u1'(X0,X1,X2)
| ~ 'v1$ufunct$u1'(X2)
| ~ 'r6$ubinop$u1'(X0,X1,X2) ),
inference(clausification,[status(esa)],[d11_binop_1]) ).
cnf(c8,plain,
( ~ 'v1$ufunct$u1'(X2)
| ~ 'v1$ufunct$u2'(X2,'k2$uzfmisc$u1'(X1,X1),X1)
| ~ 'm2$urelset$u1'(X0,'k2$uzfmisc$u1'(X1,X1),X1)
| ~ 'v1$ufunct$u2'(X0,'k2$uzfmisc$u1'(X1,X1),X1)
| ~ 'm2$urelset$u1'(X2,'k2$uzfmisc$u1'(X1,X1),X1)
| ~ 'r5$ubinop$u1'(X1,X2,X0)
| 'r6$ubinop$u1'(X1,X2,X0)
| ~ 'r4$ubinop$u1'(X1,X2,X0)
| ~ 'v1$ufunct$u1'(X0) ),
inference(clausification,[status(esa)],[d11_binop_1]) ).
cnf(c42,plain,
( ~ 'm2$urelset$u1'(X5,'k2$uzfmisc$u1'(X3,X3),X3)
| ~ 'm2$urelset$u1'(X4,'k2$uzfmisc$u1'(X2,X2),X2)
| ~ 'r4$ubinop$u1'(X3,X1,X5)
| ~ 'v1$ufunct$u1'(X4)
| X4 != 'k1$urealset1'(X5,X2)
| ~ 'm2$urelset$u1'(X0,'k2$uzfmisc$u1'(X2,X2),X2)
| 'v1$uxboole$u0'(X2)
| ~ 'v1$ufunct$u2'(X0,'k2$uzfmisc$u1'(X2,X2),X2)
| 'v1$uxboole$u0'(X3)
| ~ 'v1$ufunct$u1'(X5)
| ~ 'v1$ufunct$u2'(X1,'k2$uzfmisc$u1'(X3,X3),X3)
| ~ 'v1$ufunct$u1'(X1)
| ~ 'v1$ufunct$u2'(X4,'k2$uzfmisc$u1'(X2,X2),X2)
| ~ 'v1$ufunct$u2'(X5,'k2$uzfmisc$u1'(X3,X3),X3)
| 'r4$ubinop$u1'(X2,X0,X4)
| ~ 'm2$urelset$u1'(X1,'k2$uzfmisc$u1'(X3,X3),X3)
| ~ 'v1$ufunct$u1'(X0)
| ~ 'm1$usubset$u1'(X2,'k1$uzfmisc$u1'(X3))
| X0 != 'k1$urealset1'(X1,X2) ),
inference(clausification,[status(esa)],[t3_filter_2]) ).
cnf(c43,plain,
( ~ 'm2$urelset$u1'(X4,'k2$uzfmisc$u1'(X3,X3),X3)
| ~ 'm2$urelset$u1'(X5,'k2$uzfmisc$u1'(X2,X2),X2)
| ~ 'v1$ufunct$u2'(X1,'k2$uzfmisc$u1'(X3,X3),X3)
| 'r5$ubinop$u1'(X2,X0,X5)
| X5 != 'k1$urealset1'(X4,X2)
| ~ 'm2$urelset$u1'(X0,'k2$uzfmisc$u1'(X2,X2),X2)
| ~ 'r5$ubinop$u1'(X3,X1,X4)
| 'v1$uxboole$u0'(X2)
| ~ 'v1$ufunct$u1'(X5)
| ~ 'v1$ufunct$u2'(X0,'k2$uzfmisc$u1'(X2,X2),X2)
| 'v1$uxboole$u0'(X3)
| ~ 'v1$ufunct$u1'(X4)
| ~ 'v1$ufunct$u1'(X1)
| ~ 'v1$ufunct$u2'(X5,'k2$uzfmisc$u1'(X2,X2),X2)
| ~ 'v1$ufunct$u2'(X4,'k2$uzfmisc$u1'(X3,X3),X3)
| ~ 'm2$urelset$u1'(X1,'k2$uzfmisc$u1'(X3,X3),X3)
| ~ 'v1$ufunct$u1'(X0)
| ~ 'm1$usubset$u1'(X2,'k1$uzfmisc$u1'(X3))
| X0 != 'k1$urealset1'(X1,X2) ),
inference(clausification,[status(esa)],[t3_filter_2]) ).
cnf(c51,plain,
~ 'v1$uxboole$u0'(sK71),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c52,plain,
~ 'v1$uxboole$u0'(sK72),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c53,plain,
'm1$usubset$u1'(sK72,'k1$uzfmisc$u1'(sK71)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c54,plain,
'v1$ufunct$u1'(sK73),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c55,plain,
'v1$ufunct$u2'(sK73,'k2$uzfmisc$u1'(sK71,sK71),sK71),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c56,plain,
'm2$urelset$u1'(sK73,'k2$uzfmisc$u1'(sK71,sK71),sK71),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c57,plain,
'v1$ufunct$u1'(sK74),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c58,plain,
'v1$ufunct$u2'(sK74,'k2$uzfmisc$u1'(sK71,sK71),sK71),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c59,plain,
'm2$urelset$u1'(sK74,'k2$uzfmisc$u1'(sK71,sK71),sK71),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c60,plain,
'v1$ufunct$u1'(sK75),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c61,plain,
'v1$ufunct$u2'(sK75,'k2$uzfmisc$u1'(sK72,sK72),sK72),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c62,plain,
'm2$urelset$u1'(sK75,'k2$uzfmisc$u1'(sK72,sK72),sK72),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c63,plain,
'v1$ufunct$u1'(sK76),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c64,plain,
'v1$ufunct$u2'(sK76,'k2$uzfmisc$u1'(sK72,sK72),sK72),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c65,plain,
'm2$urelset$u1'(sK76,'k2$uzfmisc$u1'(sK72,sK72),sK72),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c66,plain,
sK75 = 'k1$urealset1'(sK73,sK72),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c67,plain,
sK76 = 'k1$urealset1'(sK74,sK72),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c68,plain,
'r6$ubinop$u1'(sK71,sK73,sK74),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c69,plain,
~ 'r6$ubinop$u1'(sK72,sK75,sK76),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ 'r5$ubinop$u1'(X3,X2,sK74)
| 'r5$ubinop$u1'(sK72,X1,X0)
| ~ 'm2$urelset$u1'(sK74,'k2$uzfmisc$u1'(X3,X3),X3)
| ~ 'm2$urelset$u1'(X2,'k2$uzfmisc$u1'(X3,X3),X3)
| ~ 'm2$urelset$u1'(X0,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'm2$urelset$u1'(X1,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'v1$ufunct$u2'(sK74,'k2$uzfmisc$u1'(X3,X3),X3)
| ~ 'v1$ufunct$u2'(X2,'k2$uzfmisc$u1'(X3,X3),X3)
| ~ 'v1$ufunct$u2'(X0,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'v1$ufunct$u2'(X1,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'm1$usubset$u1'(sK72,'k1$uzfmisc$u1'(X3))
| ~ 'v1$ufunct$u1'(sK74)
| ~ 'v1$ufunct$u1'(X2)
| ~ 'v1$ufunct$u1'(X0)
| ~ 'v1$ufunct$u1'(X1)
| 'v1$uxboole$u0'(X3)
| 'v1$uxboole$u0'(sK72)
| X1 != 'k1$urealset1'(X2,sK72)
| X0 != sK76 ),
inference(superposition,[status(thm)],[c67,c43]) ).
cnf(d1,plain,
( 'r5$ubinop$u1'(sK72,X0,X2)
| ~ 'r5$ubinop$u1'(X3,X1,sK74)
| ~ 'm2$urelset$u1'(sK74,'k2$uzfmisc$u1'(X3,X3),X3)
| ~ 'm2$urelset$u1'(X2,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'm2$urelset$u1'(X0,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'm2$urelset$u1'(X1,'k2$uzfmisc$u1'(X3,X3),X3)
| ~ 'v1$ufunct$u2'(sK74,'k2$uzfmisc$u1'(X3,X3),X3)
| ~ 'v1$ufunct$u2'(X2,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'v1$ufunct$u2'(X0,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'v1$ufunct$u2'(X1,'k2$uzfmisc$u1'(X3,X3),X3)
| ~ 'm1$usubset$u1'(sK72,'k1$uzfmisc$u1'(X3))
| ~ 'v1$ufunct$u1'(sK74)
| ~ 'v1$ufunct$u1'(X2)
| ~ 'v1$ufunct$u1'(X0)
| ~ 'v1$ufunct$u1'(X1)
| 'v1$uxboole$u0'(X3)
| X2 != sK76
| X0 != 'k1$urealset1'(X1,sK72) ),
inference(resolution,[status(thm)],[c52,d0]) ).
cnf(d2,plain,
( 'r5$ubinop$u1'(sK72,X1,X0)
| ~ 'r5$ubinop$u1'(X3,X2,sK74)
| ~ 'm2$urelset$u1'(sK74,'k2$uzfmisc$u1'(X3,X3),X3)
| ~ 'm2$urelset$u1'(X1,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'm2$urelset$u1'(X2,'k2$uzfmisc$u1'(X3,X3),X3)
| ~ 'm2$urelset$u1'(X0,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'v1$ufunct$u2'(sK74,'k2$uzfmisc$u1'(X3,X3),X3)
| ~ 'v1$ufunct$u2'(X1,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'v1$ufunct$u2'(X2,'k2$uzfmisc$u1'(X3,X3),X3)
| ~ 'v1$ufunct$u2'(X0,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'm1$usubset$u1'(sK72,'k1$uzfmisc$u1'(X3))
| ~ 'v1$ufunct$u1'(X1)
| ~ 'v1$ufunct$u1'(X2)
| ~ 'v1$ufunct$u1'(X0)
| 'v1$uxboole$u0'(X3)
| X1 != 'k1$urealset1'(X2,sK72)
| X0 != sK76 ),
inference(resolution,[status(thm)],[c57,d1]) ).
cnf(d3,plain,
( 'r5$ubinop$u1'(sK72,X0,X1)
| ~ 'r5$ubinop$u1'(X2,sK73,sK74)
| ~ 'm2$urelset$u1'(sK74,'k2$uzfmisc$u1'(X2,X2),X2)
| ~ 'm2$urelset$u1'(X1,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'm2$urelset$u1'(X0,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'm2$urelset$u1'(sK73,'k2$uzfmisc$u1'(X2,X2),X2)
| ~ 'v1$ufunct$u2'(sK74,'k2$uzfmisc$u1'(X2,X2),X2)
| ~ 'v1$ufunct$u2'(X1,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'v1$ufunct$u2'(X0,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'v1$ufunct$u2'(sK73,'k2$uzfmisc$u1'(X2,X2),X2)
| ~ 'm1$usubset$u1'(sK72,'k1$uzfmisc$u1'(X2))
| ~ 'v1$ufunct$u1'(X1)
| ~ 'v1$ufunct$u1'(X0)
| ~ 'v1$ufunct$u1'(sK73)
| 'v1$uxboole$u0'(X2)
| X1 != sK76
| X0 != sK75 ),
inference(superposition,[status(thm)],[c66,d2]) ).
cnf(d4,plain,
( 'r5$ubinop$u1'(sK72,X1,X0)
| ~ 'r5$ubinop$u1'(X2,sK73,sK74)
| ~ 'm2$urelset$u1'(sK74,'k2$uzfmisc$u1'(X2,X2),X2)
| ~ 'm2$urelset$u1'(sK73,'k2$uzfmisc$u1'(X2,X2),X2)
| ~ 'm2$urelset$u1'(X1,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'm2$urelset$u1'(X0,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'v1$ufunct$u2'(sK74,'k2$uzfmisc$u1'(X2,X2),X2)
| ~ 'v1$ufunct$u2'(sK73,'k2$uzfmisc$u1'(X2,X2),X2)
| ~ 'v1$ufunct$u2'(X1,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'v1$ufunct$u2'(X0,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'm1$usubset$u1'(sK72,'k1$uzfmisc$u1'(X2))
| ~ 'v1$ufunct$u1'(X1)
| ~ 'v1$ufunct$u1'(X0)
| 'v1$uxboole$u0'(X2)
| X1 != sK75
| X0 != sK76 ),
inference(resolution,[status(thm)],[c54,d3]) ).
cnf(d5,plain,
( 'r5$ubinop$u1'(sK72,X0,sK76)
| ~ 'r5$ubinop$u1'(X1,sK73,sK74)
| ~ 'm2$urelset$u1'(sK74,'k2$uzfmisc$u1'(X1,X1),X1)
| ~ 'm2$urelset$u1'(sK73,'k2$uzfmisc$u1'(X1,X1),X1)
| ~ 'm2$urelset$u1'(sK76,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'm2$urelset$u1'(X0,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'v1$ufunct$u2'(sK74,'k2$uzfmisc$u1'(X1,X1),X1)
| ~ 'v1$ufunct$u2'(sK73,'k2$uzfmisc$u1'(X1,X1),X1)
| ~ 'v1$ufunct$u2'(sK76,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'v1$ufunct$u2'(X0,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'm1$usubset$u1'(sK72,'k1$uzfmisc$u1'(X1))
| ~ 'v1$ufunct$u1'(sK76)
| ~ 'v1$ufunct$u1'(X0)
| 'v1$uxboole$u0'(X1)
| X0 != sK75 ),
inference(equality_resolution,[status(thm)],[d4]) ).
cnf(d6,plain,
( 'r5$ubinop$u1'(sK72,X0,sK76)
| ~ 'r5$ubinop$u1'(X1,sK73,sK74)
| ~ 'm2$urelset$u1'(sK76,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'm2$urelset$u1'(sK74,'k2$uzfmisc$u1'(X1,X1),X1)
| ~ 'm2$urelset$u1'(sK73,'k2$uzfmisc$u1'(X1,X1),X1)
| ~ 'm2$urelset$u1'(X0,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'v1$ufunct$u2'(sK76,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'v1$ufunct$u2'(sK74,'k2$uzfmisc$u1'(X1,X1),X1)
| ~ 'v1$ufunct$u2'(sK73,'k2$uzfmisc$u1'(X1,X1),X1)
| ~ 'v1$ufunct$u2'(X0,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'm1$usubset$u1'(sK72,'k1$uzfmisc$u1'(X1))
| ~ 'v1$ufunct$u1'(X0)
| 'v1$uxboole$u0'(X1)
| X0 != sK75 ),
inference(resolution,[status(thm)],[c63,d5]) ).
cnf(d7,plain,
( 'r5$ubinop$u1'(sK72,X0,sK76)
| ~ 'r5$ubinop$u1'(X1,sK73,sK74)
| ~ 'm2$urelset$u1'(sK76,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'm2$urelset$u1'(sK74,'k2$uzfmisc$u1'(X1,X1),X1)
| ~ 'm2$urelset$u1'(sK73,'k2$uzfmisc$u1'(X1,X1),X1)
| ~ 'm2$urelset$u1'(X0,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'v1$ufunct$u2'(sK74,'k2$uzfmisc$u1'(X1,X1),X1)
| ~ 'v1$ufunct$u2'(sK73,'k2$uzfmisc$u1'(X1,X1),X1)
| ~ 'v1$ufunct$u2'(X0,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'm1$usubset$u1'(sK72,'k1$uzfmisc$u1'(X1))
| ~ 'v1$ufunct$u1'(X0)
| 'v1$uxboole$u0'(X1)
| X0 != sK75 ),
inference(resolution,[status(thm)],[c64,d6]) ).
cnf(d8,plain,
( 'r5$ubinop$u1'(sK72,X0,sK76)
| ~ 'r5$ubinop$u1'(X1,sK73,sK74)
| ~ 'm2$urelset$u1'(sK74,'k2$uzfmisc$u1'(X1,X1),X1)
| ~ 'm2$urelset$u1'(sK73,'k2$uzfmisc$u1'(X1,X1),X1)
| ~ 'm2$urelset$u1'(X0,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'v1$ufunct$u2'(sK74,'k2$uzfmisc$u1'(X1,X1),X1)
| ~ 'v1$ufunct$u2'(sK73,'k2$uzfmisc$u1'(X1,X1),X1)
| ~ 'v1$ufunct$u2'(X0,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'm1$usubset$u1'(sK72,'k1$uzfmisc$u1'(X1))
| ~ 'v1$ufunct$u1'(X0)
| 'v1$uxboole$u0'(X1)
| X0 != sK75 ),
inference(resolution,[status(thm)],[c65,d7]) ).
cnf(d9,plain,
( 'r5$ubinop$u1'(sK72,sK75,sK76)
| ~ 'r5$ubinop$u1'(X0,sK73,sK74)
| ~ 'm2$urelset$u1'(sK74,'k2$uzfmisc$u1'(X0,X0),X0)
| ~ 'm2$urelset$u1'(sK73,'k2$uzfmisc$u1'(X0,X0),X0)
| ~ 'm2$urelset$u1'(sK75,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'v1$ufunct$u2'(sK74,'k2$uzfmisc$u1'(X0,X0),X0)
| ~ 'v1$ufunct$u2'(sK73,'k2$uzfmisc$u1'(X0,X0),X0)
| ~ 'v1$ufunct$u2'(sK75,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'm1$usubset$u1'(sK72,'k1$uzfmisc$u1'(X0))
| ~ 'v1$ufunct$u1'(sK75)
| 'v1$uxboole$u0'(X0) ),
inference(equality_resolution,[status(thm)],[d8]) ).
cnf(d10,plain,
( 'r5$ubinop$u1'(sK72,sK75,sK76)
| ~ 'r5$ubinop$u1'(X0,sK73,sK74)
| ~ 'm2$urelset$u1'(sK75,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'm2$urelset$u1'(sK74,'k2$uzfmisc$u1'(X0,X0),X0)
| ~ 'm2$urelset$u1'(sK73,'k2$uzfmisc$u1'(X0,X0),X0)
| ~ 'v1$ufunct$u2'(sK75,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'v1$ufunct$u2'(sK74,'k2$uzfmisc$u1'(X0,X0),X0)
| ~ 'v1$ufunct$u2'(sK73,'k2$uzfmisc$u1'(X0,X0),X0)
| ~ 'm1$usubset$u1'(sK72,'k1$uzfmisc$u1'(X0))
| 'v1$uxboole$u0'(X0) ),
inference(resolution,[status(thm)],[c60,d9]) ).
cnf(d11,plain,
( 'r5$ubinop$u1'(sK72,sK75,sK76)
| ~ 'r5$ubinop$u1'(X0,sK73,sK74)
| ~ 'm2$urelset$u1'(sK75,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'm2$urelset$u1'(sK74,'k2$uzfmisc$u1'(X0,X0),X0)
| ~ 'm2$urelset$u1'(sK73,'k2$uzfmisc$u1'(X0,X0),X0)
| ~ 'v1$ufunct$u2'(sK74,'k2$uzfmisc$u1'(X0,X0),X0)
| ~ 'v1$ufunct$u2'(sK73,'k2$uzfmisc$u1'(X0,X0),X0)
| ~ 'm1$usubset$u1'(sK72,'k1$uzfmisc$u1'(X0))
| 'v1$uxboole$u0'(X0) ),
inference(resolution,[status(thm)],[c61,d10]) ).
cnf(d12,plain,
( 'r5$ubinop$u1'(sK72,sK75,sK76)
| ~ 'r5$ubinop$u1'(X0,sK73,sK74)
| ~ 'm2$urelset$u1'(sK74,'k2$uzfmisc$u1'(X0,X0),X0)
| ~ 'm2$urelset$u1'(sK73,'k2$uzfmisc$u1'(X0,X0),X0)
| ~ 'v1$ufunct$u2'(sK74,'k2$uzfmisc$u1'(X0,X0),X0)
| ~ 'v1$ufunct$u2'(sK73,'k2$uzfmisc$u1'(X0,X0),X0)
| ~ 'm1$usubset$u1'(sK72,'k1$uzfmisc$u1'(X0))
| 'v1$uxboole$u0'(X0) ),
inference(resolution,[status(thm)],[c62,d11]) ).
cnf(d13,plain,
( ~ 'r5$ubinop$u1'(sK72,X0,sK76)
| ~ 'r4$ubinop$u1'(sK72,X0,sK76)
| ~ 'm2$urelset$u1'(X0,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| 'r6$ubinop$u1'(sK72,X0,sK76)
| ~ 'v1$ufunct$u2'(sK76,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'v1$ufunct$u2'(X0,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'v1$ufunct$u1'(sK76)
| ~ 'v1$ufunct$u1'(X0) ),
inference(resolution,[status(thm)],[c8,c65]) ).
cnf(d14,plain,
( ~ 'r5$ubinop$u1'(sK72,X0,sK76)
| ~ 'r4$ubinop$u1'(sK72,X0,sK76)
| ~ 'm2$urelset$u1'(X0,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| 'r6$ubinop$u1'(sK72,X0,sK76)
| ~ 'v1$ufunct$u2'(sK76,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'v1$ufunct$u2'(X0,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'v1$ufunct$u1'(X0) ),
inference(resolution,[status(thm)],[c63,d13]) ).
cnf(d15,plain,
( ~ 'r5$ubinop$u1'(sK72,X0,sK76)
| ~ 'r4$ubinop$u1'(sK72,X0,sK76)
| ~ 'm2$urelset$u1'(X0,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| 'r6$ubinop$u1'(sK72,X0,sK76)
| ~ 'v1$ufunct$u2'(X0,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'v1$ufunct$u1'(X0) ),
inference(resolution,[status(thm)],[c64,d14]) ).
cnf(d16,plain,
( ~ 'r5$ubinop$u1'(sK72,sK75,sK76)
| ~ 'r4$ubinop$u1'(sK72,sK75,sK76)
| 'r6$ubinop$u1'(sK72,sK75,sK76)
| ~ 'v1$ufunct$u2'(sK75,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'v1$ufunct$u1'(sK75) ),
inference(resolution,[status(thm)],[d15,c62]) ).
cnf(d17,plain,
( ~ 'r5$ubinop$u1'(sK72,sK75,sK76)
| ~ 'r4$ubinop$u1'(sK72,sK75,sK76)
| 'r6$ubinop$u1'(sK72,sK75,sK76)
| ~ 'v1$ufunct$u2'(sK75,'k2$uzfmisc$u1'(sK72,sK72),sK72) ),
inference(resolution,[status(thm)],[c60,d16]) ).
cnf(d18,plain,
( ~ 'r5$ubinop$u1'(sK72,sK75,sK76)
| ~ 'r4$ubinop$u1'(sK72,sK75,sK76)
| ~ 'v1$ufunct$u2'(sK75,'k2$uzfmisc$u1'(sK72,sK72),sK72) ),
inference(resolution,[status(thm)],[c69,d17]) ).
cnf(d19,plain,
( ~ 'r5$ubinop$u1'(sK72,sK75,sK76)
| ~ 'r4$ubinop$u1'(sK72,sK75,sK76) ),
inference(resolution,[status(thm)],[c61,d18]) ).
cnf(d20,plain,
( ~ 'r4$ubinop$u1'(X3,X2,sK74)
| 'r4$ubinop$u1'(sK72,X1,X0)
| ~ 'm2$urelset$u1'(sK74,'k2$uzfmisc$u1'(X3,X3),X3)
| ~ 'm2$urelset$u1'(X2,'k2$uzfmisc$u1'(X3,X3),X3)
| ~ 'm2$urelset$u1'(X0,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'm2$urelset$u1'(X1,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'v1$ufunct$u2'(sK74,'k2$uzfmisc$u1'(X3,X3),X3)
| ~ 'v1$ufunct$u2'(X2,'k2$uzfmisc$u1'(X3,X3),X3)
| ~ 'v1$ufunct$u2'(X0,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'v1$ufunct$u2'(X1,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'm1$usubset$u1'(sK72,'k1$uzfmisc$u1'(X3))
| ~ 'v1$ufunct$u1'(sK74)
| ~ 'v1$ufunct$u1'(X2)
| ~ 'v1$ufunct$u1'(X0)
| ~ 'v1$ufunct$u1'(X1)
| 'v1$uxboole$u0'(X3)
| 'v1$uxboole$u0'(sK72)
| X1 != 'k1$urealset1'(X2,sK72)
| X0 != sK76 ),
inference(superposition,[status(thm)],[c67,c42]) ).
cnf(d21,plain,
( 'r4$ubinop$u1'(sK72,X0,X2)
| ~ 'r4$ubinop$u1'(X3,X1,sK74)
| ~ 'm2$urelset$u1'(sK74,'k2$uzfmisc$u1'(X3,X3),X3)
| ~ 'm2$urelset$u1'(X2,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'm2$urelset$u1'(X0,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'm2$urelset$u1'(X1,'k2$uzfmisc$u1'(X3,X3),X3)
| ~ 'v1$ufunct$u2'(sK74,'k2$uzfmisc$u1'(X3,X3),X3)
| ~ 'v1$ufunct$u2'(X2,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'v1$ufunct$u2'(X0,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'v1$ufunct$u2'(X1,'k2$uzfmisc$u1'(X3,X3),X3)
| ~ 'm1$usubset$u1'(sK72,'k1$uzfmisc$u1'(X3))
| ~ 'v1$ufunct$u1'(sK74)
| ~ 'v1$ufunct$u1'(X2)
| ~ 'v1$ufunct$u1'(X0)
| ~ 'v1$ufunct$u1'(X1)
| 'v1$uxboole$u0'(X3)
| X2 != sK76
| X0 != 'k1$urealset1'(X1,sK72) ),
inference(resolution,[status(thm)],[c52,d20]) ).
cnf(d22,plain,
( 'r4$ubinop$u1'(sK72,X1,X0)
| ~ 'r4$ubinop$u1'(X3,X2,sK74)
| ~ 'm2$urelset$u1'(sK74,'k2$uzfmisc$u1'(X3,X3),X3)
| ~ 'm2$urelset$u1'(X1,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'm2$urelset$u1'(X2,'k2$uzfmisc$u1'(X3,X3),X3)
| ~ 'm2$urelset$u1'(X0,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'v1$ufunct$u2'(sK74,'k2$uzfmisc$u1'(X3,X3),X3)
| ~ 'v1$ufunct$u2'(X1,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'v1$ufunct$u2'(X2,'k2$uzfmisc$u1'(X3,X3),X3)
| ~ 'v1$ufunct$u2'(X0,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'm1$usubset$u1'(sK72,'k1$uzfmisc$u1'(X3))
| ~ 'v1$ufunct$u1'(X1)
| ~ 'v1$ufunct$u1'(X2)
| ~ 'v1$ufunct$u1'(X0)
| 'v1$uxboole$u0'(X3)
| X1 != 'k1$urealset1'(X2,sK72)
| X0 != sK76 ),
inference(resolution,[status(thm)],[c57,d21]) ).
cnf(d23,plain,
( 'r4$ubinop$u1'(sK72,X0,X1)
| ~ 'r4$ubinop$u1'(X2,sK73,sK74)
| ~ 'm2$urelset$u1'(sK74,'k2$uzfmisc$u1'(X2,X2),X2)
| ~ 'm2$urelset$u1'(X1,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'm2$urelset$u1'(X0,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'm2$urelset$u1'(sK73,'k2$uzfmisc$u1'(X2,X2),X2)
| ~ 'v1$ufunct$u2'(sK74,'k2$uzfmisc$u1'(X2,X2),X2)
| ~ 'v1$ufunct$u2'(X1,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'v1$ufunct$u2'(X0,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'v1$ufunct$u2'(sK73,'k2$uzfmisc$u1'(X2,X2),X2)
| ~ 'm1$usubset$u1'(sK72,'k1$uzfmisc$u1'(X2))
| ~ 'v1$ufunct$u1'(X1)
| ~ 'v1$ufunct$u1'(X0)
| ~ 'v1$ufunct$u1'(sK73)
| 'v1$uxboole$u0'(X2)
| X1 != sK76
| X0 != sK75 ),
inference(superposition,[status(thm)],[c66,d22]) ).
cnf(d24,plain,
( 'r4$ubinop$u1'(sK72,X1,X0)
| ~ 'r4$ubinop$u1'(X2,sK73,sK74)
| ~ 'm2$urelset$u1'(sK74,'k2$uzfmisc$u1'(X2,X2),X2)
| ~ 'm2$urelset$u1'(sK73,'k2$uzfmisc$u1'(X2,X2),X2)
| ~ 'm2$urelset$u1'(X1,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'm2$urelset$u1'(X0,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'v1$ufunct$u2'(sK74,'k2$uzfmisc$u1'(X2,X2),X2)
| ~ 'v1$ufunct$u2'(sK73,'k2$uzfmisc$u1'(X2,X2),X2)
| ~ 'v1$ufunct$u2'(X1,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'v1$ufunct$u2'(X0,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'm1$usubset$u1'(sK72,'k1$uzfmisc$u1'(X2))
| ~ 'v1$ufunct$u1'(X1)
| ~ 'v1$ufunct$u1'(X0)
| 'v1$uxboole$u0'(X2)
| X1 != sK75
| X0 != sK76 ),
inference(resolution,[status(thm)],[c54,d23]) ).
cnf(d25,plain,
( 'r4$ubinop$u1'(sK72,X0,sK76)
| ~ 'r4$ubinop$u1'(X1,sK73,sK74)
| ~ 'm2$urelset$u1'(sK74,'k2$uzfmisc$u1'(X1,X1),X1)
| ~ 'm2$urelset$u1'(sK73,'k2$uzfmisc$u1'(X1,X1),X1)
| ~ 'm2$urelset$u1'(sK76,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'm2$urelset$u1'(X0,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'v1$ufunct$u2'(sK74,'k2$uzfmisc$u1'(X1,X1),X1)
| ~ 'v1$ufunct$u2'(sK73,'k2$uzfmisc$u1'(X1,X1),X1)
| ~ 'v1$ufunct$u2'(sK76,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'v1$ufunct$u2'(X0,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'm1$usubset$u1'(sK72,'k1$uzfmisc$u1'(X1))
| ~ 'v1$ufunct$u1'(sK76)
| ~ 'v1$ufunct$u1'(X0)
| 'v1$uxboole$u0'(X1)
| X0 != sK75 ),
inference(equality_resolution,[status(thm)],[d24]) ).
cnf(d26,plain,
( 'r4$ubinop$u1'(sK72,X0,sK76)
| ~ 'r4$ubinop$u1'(X1,sK73,sK74)
| ~ 'm2$urelset$u1'(sK76,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'm2$urelset$u1'(sK74,'k2$uzfmisc$u1'(X1,X1),X1)
| ~ 'm2$urelset$u1'(sK73,'k2$uzfmisc$u1'(X1,X1),X1)
| ~ 'm2$urelset$u1'(X0,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'v1$ufunct$u2'(sK76,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'v1$ufunct$u2'(sK74,'k2$uzfmisc$u1'(X1,X1),X1)
| ~ 'v1$ufunct$u2'(sK73,'k2$uzfmisc$u1'(X1,X1),X1)
| ~ 'v1$ufunct$u2'(X0,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'm1$usubset$u1'(sK72,'k1$uzfmisc$u1'(X1))
| ~ 'v1$ufunct$u1'(X0)
| 'v1$uxboole$u0'(X1)
| X0 != sK75 ),
inference(resolution,[status(thm)],[c63,d25]) ).
cnf(d27,plain,
( 'r4$ubinop$u1'(sK72,X0,sK76)
| ~ 'r4$ubinop$u1'(X1,sK73,sK74)
| ~ 'm2$urelset$u1'(sK76,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'm2$urelset$u1'(sK74,'k2$uzfmisc$u1'(X1,X1),X1)
| ~ 'm2$urelset$u1'(sK73,'k2$uzfmisc$u1'(X1,X1),X1)
| ~ 'm2$urelset$u1'(X0,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'v1$ufunct$u2'(sK74,'k2$uzfmisc$u1'(X1,X1),X1)
| ~ 'v1$ufunct$u2'(sK73,'k2$uzfmisc$u1'(X1,X1),X1)
| ~ 'v1$ufunct$u2'(X0,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'm1$usubset$u1'(sK72,'k1$uzfmisc$u1'(X1))
| ~ 'v1$ufunct$u1'(X0)
| 'v1$uxboole$u0'(X1)
| X0 != sK75 ),
inference(resolution,[status(thm)],[c64,d26]) ).
cnf(d28,plain,
( 'r4$ubinop$u1'(sK72,X0,sK76)
| ~ 'r4$ubinop$u1'(X1,sK73,sK74)
| ~ 'm2$urelset$u1'(sK74,'k2$uzfmisc$u1'(X1,X1),X1)
| ~ 'm2$urelset$u1'(sK73,'k2$uzfmisc$u1'(X1,X1),X1)
| ~ 'm2$urelset$u1'(X0,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'v1$ufunct$u2'(sK74,'k2$uzfmisc$u1'(X1,X1),X1)
| ~ 'v1$ufunct$u2'(sK73,'k2$uzfmisc$u1'(X1,X1),X1)
| ~ 'v1$ufunct$u2'(X0,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'm1$usubset$u1'(sK72,'k1$uzfmisc$u1'(X1))
| ~ 'v1$ufunct$u1'(X0)
| 'v1$uxboole$u0'(X1)
| X0 != sK75 ),
inference(resolution,[status(thm)],[c65,d27]) ).
cnf(d29,plain,
( 'r4$ubinop$u1'(sK72,sK75,sK76)
| ~ 'r4$ubinop$u1'(X0,sK73,sK74)
| ~ 'm2$urelset$u1'(sK74,'k2$uzfmisc$u1'(X0,X0),X0)
| ~ 'm2$urelset$u1'(sK73,'k2$uzfmisc$u1'(X0,X0),X0)
| ~ 'm2$urelset$u1'(sK75,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'v1$ufunct$u2'(sK74,'k2$uzfmisc$u1'(X0,X0),X0)
| ~ 'v1$ufunct$u2'(sK73,'k2$uzfmisc$u1'(X0,X0),X0)
| ~ 'v1$ufunct$u2'(sK75,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'm1$usubset$u1'(sK72,'k1$uzfmisc$u1'(X0))
| ~ 'v1$ufunct$u1'(sK75)
| 'v1$uxboole$u0'(X0) ),
inference(equality_resolution,[status(thm)],[d28]) ).
cnf(d30,plain,
( 'r4$ubinop$u1'(sK72,sK75,sK76)
| ~ 'r4$ubinop$u1'(X0,sK73,sK74)
| ~ 'm2$urelset$u1'(sK75,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'm2$urelset$u1'(sK74,'k2$uzfmisc$u1'(X0,X0),X0)
| ~ 'm2$urelset$u1'(sK73,'k2$uzfmisc$u1'(X0,X0),X0)
| ~ 'v1$ufunct$u2'(sK75,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'v1$ufunct$u2'(sK74,'k2$uzfmisc$u1'(X0,X0),X0)
| ~ 'v1$ufunct$u2'(sK73,'k2$uzfmisc$u1'(X0,X0),X0)
| ~ 'm1$usubset$u1'(sK72,'k1$uzfmisc$u1'(X0))
| 'v1$uxboole$u0'(X0) ),
inference(resolution,[status(thm)],[c60,d29]) ).
cnf(d31,plain,
( 'r4$ubinop$u1'(sK72,sK75,sK76)
| ~ 'r4$ubinop$u1'(X0,sK73,sK74)
| ~ 'm2$urelset$u1'(sK75,'k2$uzfmisc$u1'(sK72,sK72),sK72)
| ~ 'm2$urelset$u1'(sK74,'k2$uzfmisc$u1'(X0,X0),X0)
| ~ 'm2$urelset$u1'(sK73,'k2$uzfmisc$u1'(X0,X0),X0)
| ~ 'v1$ufunct$u2'(sK74,'k2$uzfmisc$u1'(X0,X0),X0)
| ~ 'v1$ufunct$u2'(sK73,'k2$uzfmisc$u1'(X0,X0),X0)
| ~ 'm1$usubset$u1'(sK72,'k1$uzfmisc$u1'(X0))
| 'v1$uxboole$u0'(X0) ),
inference(resolution,[status(thm)],[c61,d30]) ).
cnf(d32,plain,
( 'r4$ubinop$u1'(sK72,sK75,sK76)
| ~ 'r4$ubinop$u1'(X0,sK73,sK74)
| ~ 'm2$urelset$u1'(sK74,'k2$uzfmisc$u1'(X0,X0),X0)
| ~ 'm2$urelset$u1'(sK73,'k2$uzfmisc$u1'(X0,X0),X0)
| ~ 'v1$ufunct$u2'(sK74,'k2$uzfmisc$u1'(X0,X0),X0)
| ~ 'v1$ufunct$u2'(sK73,'k2$uzfmisc$u1'(X0,X0),X0)
| ~ 'm1$usubset$u1'(sK72,'k1$uzfmisc$u1'(X0))
| 'v1$uxboole$u0'(X0) ),
inference(resolution,[status(thm)],[c62,d31]) ).
cnf(d33,plain,
( 'r4$ubinop$u1'(sK72,sK75,sK76)
| ~ 'r4$ubinop$u1'(sK71,sK73,sK74)
| ~ 'm2$urelset$u1'(sK73,'k2$uzfmisc$u1'(sK71,sK71),sK71)
| ~ 'v1$ufunct$u2'(sK74,'k2$uzfmisc$u1'(sK71,sK71),sK71)
| ~ 'v1$ufunct$u2'(sK73,'k2$uzfmisc$u1'(sK71,sK71),sK71)
| ~ 'm1$usubset$u1'(sK72,'k1$uzfmisc$u1'(sK71))
| 'v1$uxboole$u0'(sK71) ),
inference(resolution,[status(thm)],[d32,c59]) ).
cnf(d34,plain,
( 'r4$ubinop$u1'(sK72,sK75,sK76)
| ~ 'r4$ubinop$u1'(sK71,sK73,sK74)
| ~ 'm2$urelset$u1'(sK73,'k2$uzfmisc$u1'(sK71,sK71),sK71)
| ~ 'v1$ufunct$u2'(sK74,'k2$uzfmisc$u1'(sK71,sK71),sK71)
| ~ 'v1$ufunct$u2'(sK73,'k2$uzfmisc$u1'(sK71,sK71),sK71)
| ~ 'm1$usubset$u1'(sK72,'k1$uzfmisc$u1'(sK71)) ),
inference(resolution,[status(thm)],[c51,d33]) ).
cnf(d35,plain,
( 'r4$ubinop$u1'(sK72,sK75,sK76)
| ~ 'r4$ubinop$u1'(sK71,sK73,sK74)
| ~ 'm2$urelset$u1'(sK73,'k2$uzfmisc$u1'(sK71,sK71),sK71)
| ~ 'v1$ufunct$u2'(sK74,'k2$uzfmisc$u1'(sK71,sK71),sK71)
| ~ 'v1$ufunct$u2'(sK73,'k2$uzfmisc$u1'(sK71,sK71),sK71) ),
inference(resolution,[status(thm)],[c53,d34]) ).
cnf(d36,plain,
( 'r4$ubinop$u1'(sK72,sK75,sK76)
| ~ 'r4$ubinop$u1'(sK71,sK73,sK74)
| ~ 'm2$urelset$u1'(sK73,'k2$uzfmisc$u1'(sK71,sK71),sK71)
| ~ 'v1$ufunct$u2'(sK74,'k2$uzfmisc$u1'(sK71,sK71),sK71) ),
inference(resolution,[status(thm)],[c55,d35]) ).
cnf(d37,plain,
( 'r4$ubinop$u1'(sK72,sK75,sK76)
| ~ 'r4$ubinop$u1'(sK71,sK73,sK74)
| ~ 'v1$ufunct$u2'(sK74,'k2$uzfmisc$u1'(sK71,sK71),sK71) ),
inference(resolution,[status(thm)],[c56,d36]) ).
cnf(d38,plain,
( 'r4$ubinop$u1'(sK72,sK75,sK76)
| ~ 'r4$ubinop$u1'(sK71,sK73,sK74) ),
inference(resolution,[status(thm)],[c58,d37]) ).
cnf(d39,plain,
( 'r4$ubinop$u1'(sK71,X0,sK74)
| ~ 'm2$urelset$u1'(X0,'k2$uzfmisc$u1'(sK71,sK71),sK71)
| ~ 'r6$ubinop$u1'(sK71,X0,sK74)
| ~ 'v1$ufunct$u2'(sK74,'k2$uzfmisc$u1'(sK71,sK71),sK71)
| ~ 'v1$ufunct$u2'(X0,'k2$uzfmisc$u1'(sK71,sK71),sK71)
| ~ 'v1$ufunct$u1'(sK74)
| ~ 'v1$ufunct$u1'(X0) ),
inference(resolution,[status(thm)],[c6,c59]) ).
cnf(d40,plain,
( 'r4$ubinop$u1'(sK71,X0,sK74)
| ~ 'm2$urelset$u1'(X0,'k2$uzfmisc$u1'(sK71,sK71),sK71)
| ~ 'r6$ubinop$u1'(sK71,X0,sK74)
| ~ 'v1$ufunct$u2'(sK74,'k2$uzfmisc$u1'(sK71,sK71),sK71)
| ~ 'v1$ufunct$u2'(X0,'k2$uzfmisc$u1'(sK71,sK71),sK71)
| ~ 'v1$ufunct$u1'(X0) ),
inference(resolution,[status(thm)],[c57,d39]) ).
cnf(d41,plain,
( 'r4$ubinop$u1'(sK71,X0,sK74)
| ~ 'm2$urelset$u1'(X0,'k2$uzfmisc$u1'(sK71,sK71),sK71)
| ~ 'r6$ubinop$u1'(sK71,X0,sK74)
| ~ 'v1$ufunct$u2'(X0,'k2$uzfmisc$u1'(sK71,sK71),sK71)
| ~ 'v1$ufunct$u1'(X0) ),
inference(resolution,[status(thm)],[c58,d40]) ).
cnf(d42,plain,
( 'r4$ubinop$u1'(sK71,sK73,sK74)
| ~ 'r6$ubinop$u1'(sK71,sK73,sK74)
| ~ 'v1$ufunct$u2'(sK73,'k2$uzfmisc$u1'(sK71,sK71),sK71)
| ~ 'v1$ufunct$u1'(sK73) ),
inference(resolution,[status(thm)],[d41,c56]) ).
cnf(d43,plain,
( 'r4$ubinop$u1'(sK71,sK73,sK74)
| ~ 'r6$ubinop$u1'(sK71,sK73,sK74)
| ~ 'v1$ufunct$u2'(sK73,'k2$uzfmisc$u1'(sK71,sK71),sK71) ),
inference(resolution,[status(thm)],[c54,d42]) ).
cnf(d44,plain,
( 'r4$ubinop$u1'(sK71,sK73,sK74)
| ~ 'v1$ufunct$u2'(sK73,'k2$uzfmisc$u1'(sK71,sK71),sK71) ),
inference(resolution,[status(thm)],[c68,d43]) ).
cnf(d45,plain,
'r4$ubinop$u1'(sK71,sK73,sK74),
inference(resolution,[status(thm)],[c55,d44]) ).
cnf(d46,plain,
'r4$ubinop$u1'(sK72,sK75,sK76),
inference(resolution,[status(thm)],[d45,d38]) ).
cnf(d47,plain,
~ 'r5$ubinop$u1'(sK72,sK75,sK76),
inference(resolution,[status(thm)],[d46,d19]) ).
cnf(d48,plain,
( ~ 'r5$ubinop$u1'(X0,sK73,sK74)
| ~ 'm2$urelset$u1'(sK74,'k2$uzfmisc$u1'(X0,X0),X0)
| ~ 'm2$urelset$u1'(sK73,'k2$uzfmisc$u1'(X0,X0),X0)
| ~ 'v1$ufunct$u2'(sK74,'k2$uzfmisc$u1'(X0,X0),X0)
| ~ 'v1$ufunct$u2'(sK73,'k2$uzfmisc$u1'(X0,X0),X0)
| ~ 'm1$usubset$u1'(sK72,'k1$uzfmisc$u1'(X0))
| 'v1$uxboole$u0'(X0) ),
inference(resolution,[status(thm)],[d47,d12]) ).
cnf(d49,plain,
( ~ 'r5$ubinop$u1'(sK71,sK73,sK74)
| ~ 'm2$urelset$u1'(sK73,'k2$uzfmisc$u1'(sK71,sK71),sK71)
| ~ 'v1$ufunct$u2'(sK74,'k2$uzfmisc$u1'(sK71,sK71),sK71)
| ~ 'v1$ufunct$u2'(sK73,'k2$uzfmisc$u1'(sK71,sK71),sK71)
| ~ 'm1$usubset$u1'(sK72,'k1$uzfmisc$u1'(sK71))
| 'v1$uxboole$u0'(sK71) ),
inference(resolution,[status(thm)],[d48,c59]) ).
cnf(d50,plain,
( ~ 'r5$ubinop$u1'(sK71,sK73,sK74)
| ~ 'm2$urelset$u1'(sK73,'k2$uzfmisc$u1'(sK71,sK71),sK71)
| ~ 'v1$ufunct$u2'(sK74,'k2$uzfmisc$u1'(sK71,sK71),sK71)
| ~ 'v1$ufunct$u2'(sK73,'k2$uzfmisc$u1'(sK71,sK71),sK71)
| ~ 'm1$usubset$u1'(sK72,'k1$uzfmisc$u1'(sK71)) ),
inference(resolution,[status(thm)],[c51,d49]) ).
cnf(d51,plain,
( ~ 'r5$ubinop$u1'(sK71,sK73,sK74)
| ~ 'm2$urelset$u1'(sK73,'k2$uzfmisc$u1'(sK71,sK71),sK71)
| ~ 'v1$ufunct$u2'(sK74,'k2$uzfmisc$u1'(sK71,sK71),sK71)
| ~ 'v1$ufunct$u2'(sK73,'k2$uzfmisc$u1'(sK71,sK71),sK71) ),
inference(resolution,[status(thm)],[c53,d50]) ).
cnf(d52,plain,
( ~ 'r5$ubinop$u1'(sK71,sK73,sK74)
| ~ 'm2$urelset$u1'(sK73,'k2$uzfmisc$u1'(sK71,sK71),sK71)
| ~ 'v1$ufunct$u2'(sK74,'k2$uzfmisc$u1'(sK71,sK71),sK71) ),
inference(resolution,[status(thm)],[c55,d51]) ).
cnf(d53,plain,
( ~ 'r5$ubinop$u1'(sK71,sK73,sK74)
| ~ 'v1$ufunct$u2'(sK74,'k2$uzfmisc$u1'(sK71,sK71),sK71) ),
inference(resolution,[status(thm)],[c56,d52]) ).
cnf(d54,plain,
~ 'r5$ubinop$u1'(sK71,sK73,sK74),
inference(resolution,[status(thm)],[c58,d53]) ).
cnf(d55,plain,
( 'r5$ubinop$u1'(sK71,X0,sK74)
| ~ 'm2$urelset$u1'(X0,'k2$uzfmisc$u1'(sK71,sK71),sK71)
| ~ 'r6$ubinop$u1'(sK71,X0,sK74)
| ~ 'v1$ufunct$u2'(sK74,'k2$uzfmisc$u1'(sK71,sK71),sK71)
| ~ 'v1$ufunct$u2'(X0,'k2$uzfmisc$u1'(sK71,sK71),sK71)
| ~ 'v1$ufunct$u1'(sK74)
| ~ 'v1$ufunct$u1'(X0) ),
inference(resolution,[status(thm)],[c7,c59]) ).
cnf(d56,plain,
( 'r5$ubinop$u1'(sK71,X0,sK74)
| ~ 'm2$urelset$u1'(X0,'k2$uzfmisc$u1'(sK71,sK71),sK71)
| ~ 'r6$ubinop$u1'(sK71,X0,sK74)
| ~ 'v1$ufunct$u2'(sK74,'k2$uzfmisc$u1'(sK71,sK71),sK71)
| ~ 'v1$ufunct$u2'(X0,'k2$uzfmisc$u1'(sK71,sK71),sK71)
| ~ 'v1$ufunct$u1'(X0) ),
inference(resolution,[status(thm)],[c57,d55]) ).
cnf(d57,plain,
( 'r5$ubinop$u1'(sK71,X0,sK74)
| ~ 'm2$urelset$u1'(X0,'k2$uzfmisc$u1'(sK71,sK71),sK71)
| ~ 'r6$ubinop$u1'(sK71,X0,sK74)
| ~ 'v1$ufunct$u2'(X0,'k2$uzfmisc$u1'(sK71,sK71),sK71)
| ~ 'v1$ufunct$u1'(X0) ),
inference(resolution,[status(thm)],[c58,d56]) ).
cnf(d58,plain,
( 'r5$ubinop$u1'(sK71,sK73,sK74)
| ~ 'r6$ubinop$u1'(sK71,sK73,sK74)
| ~ 'v1$ufunct$u2'(sK73,'k2$uzfmisc$u1'(sK71,sK71),sK71)
| ~ 'v1$ufunct$u1'(sK73) ),
inference(resolution,[status(thm)],[d57,c56]) ).
cnf(d59,plain,
( 'r5$ubinop$u1'(sK71,sK73,sK74)
| ~ 'r6$ubinop$u1'(sK71,sK73,sK74)
| ~ 'v1$ufunct$u2'(sK73,'k2$uzfmisc$u1'(sK71,sK71),sK71) ),
inference(resolution,[status(thm)],[c54,d58]) ).
cnf(d60,plain,
( 'r5$ubinop$u1'(sK71,sK73,sK74)
| ~ 'v1$ufunct$u2'(sK73,'k2$uzfmisc$u1'(sK71,sK71),sK71) ),
inference(resolution,[status(thm)],[c68,d59]) ).
cnf(d61,plain,
'r5$ubinop$u1'(sK71,sK73,sK74),
inference(resolution,[status(thm)],[c55,d60]) ).
cnf(d62,plain,
$false,
inference(resolution,[status(thm)],[d61,d54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT294+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/15.37 % Computer : n026.cluster.edu
% 0.09/15.37 % Model : x86_64 x86_64
% 0.09/15.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/15.37 % Memory : 8046.5625MB
% 0.09/15.37 % OS : Linux 6.8.0-71-generic
% 0.09/15.37 % CPULimit : 300
% 0.09/15.37 % WCLimit : 300
% 0.09/15.37 % DateTime : Fri Sep 25 20:35:56 UTC 2026
% 0.09/15.37 % CPUTime :
% 0.09/15.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 27.26/19.04 % SZS status Theorem for theBenchmark.p
% 27.26/19.04 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------