%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LAT295+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 : n019.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 07:48:10 AM UTC 2026
% Result : Theorem 47.87s 16.69s
% Output : CNFRefutation 47.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 53
% Number of leaves : 9
% Syntax : Number of formulae : 174 ( 20 unt; 0 def)
% Number of atoms : 957 ( 156 equ)
% Maximal formula atoms : 17 ( 5 avg)
% Number of connectives : 1508 ( 725 ~; 720 |; 27 &)
% ( 2 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-6 aty)
% Number of variables : 149 ( 6 sgn 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d1_lattices,axiom,
! [X0] :
( ( 'l2$ulattices'(X0)
& ~ 'v3$ustruct$u0'(X0) )
=> ! [X1] :
( 'm1$usubset$u1'(X1,'u1$ustruct$u0'(X0))
=> ! [X2] :
( 'm1$usubset$u1'(X2,'u1$ustruct$u0'(X0))
=> 'k1$ulattices'(X0,X1,X2) = 'k2$ubinop$u1'('u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0),'u2$ulattices'(X0),X1,X2) ) ) ) ).
fof(d2_lattices,axiom,
! [X0] :
( ( 'l1$ulattices'(X0)
& ~ 'v3$ustruct$u0'(X0) )
=> ! [X1] :
( 'm1$usubset$u1'(X1,'u1$ustruct$u0'(X0))
=> ! [X2] :
( 'm1$usubset$u1'(X2,'u1$ustruct$u0'(X0))
=> 'k2$ulattices'(X0,X1,X2) = 'k2$ubinop$u1'('u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0),'u1$ulattices'(X0),X1,X2) ) ) ) ).
fof(d3_lattices,axiom,
! [X0] :
( ( 'l2$ulattices'(X0)
& ~ 'v3$ustruct$u0'(X0) )
=> ! [X1] :
( 'm1$usubset$u1'(X1,'u1$ustruct$u0'(X0))
=> ! [X2] :
( 'm1$usubset$u1'(X2,'u1$ustruct$u0'(X0))
=> ( 'r1$ulattices'(X0,X1,X2)
<=> 'k1$ulattices'(X0,X1,X2) = X2 ) ) ) ) ).
fof(dt_l3_lattices,axiom,
! [X0] :
( 'l3$ulattices'(X0)
=> ( 'l2$ulattices'(X0)
& 'l1$ulattices'(X0) ) ) ).
fof(dt_u1_lattices,axiom,
! [X0] :
( 'l1$ulattices'(X0)
=> ( 'm2$urelset$u1'('u1$ulattices'(X0),'k2$uzfmisc$u1'('u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0)),'u1$ustruct$u0'(X0))
& 'v1$ufunct$u2'('u1$ulattices'(X0),'k2$uzfmisc$u1'('u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0)),'u1$ustruct$u0'(X0))
& 'v1$ufunct$u1'('u1$ulattices'(X0)) ) ) ).
fof(dt_u2_lattices,axiom,
! [X0] :
( 'l2$ulattices'(X0)
=> ( 'm2$urelset$u1'('u2$ulattices'(X0),'k2$uzfmisc$u1'('u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0)),'u1$ustruct$u0'(X0))
& 'v1$ufunct$u2'('u2$ulattices'(X0),'k2$uzfmisc$u1'('u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0)),'u1$ustruct$u0'(X0))
& 'v1$ufunct$u1'('u2$ulattices'(X0)) ) ) ).
fof(free_g3_lattices,axiom,
! [X0,X1,X2] :
( ( 'm1$urelset$u1'(X2,'k2$uzfmisc$u1'(X0,X0),X0)
& 'v1$ufunct$u2'(X2,'k2$uzfmisc$u1'(X0,X0),X0)
& 'v1$ufunct$u1'(X2)
& 'm1$urelset$u1'(X1,'k2$uzfmisc$u1'(X0,X0),X0)
& 'v1$ufunct$u2'(X1,'k2$uzfmisc$u1'(X0,X0),X0)
& 'v1$ufunct$u1'(X1) )
=> ! [X3,X4,X5] :
( 'g3$ulattices'(X0,X1,X2) = 'g3$ulattices'(X3,X4,X5)
=> ( X2 = X5
& X1 = X4
& X0 = X3 ) ) ) ).
fof(redefinition_m2_relset_1,axiom,
! [X0,X1,X2] :
( 'm2$urelset$u1'(X2,X0,X1)
<=> 'm1$urelset$u1'(X2,X0,X1) ) ).
fof(t8_filter_2,conjecture,
! [X0] :
( ( 'l3$ulattices'(X0)
& ~ 'v3$ustruct$u0'(X0) )
=> ! [X1] :
( ( 'l3$ulattices'(X1)
& ~ 'v3$ustruct$u0'(X1) )
=> ( 'g3$ulattices'('u1$ustruct$u0'(X0),'u2$ulattices'(X0),'u1$ulattices'(X0)) = 'g3$ulattices'('u1$ustruct$u0'(X1),'u2$ulattices'(X1),'u1$ulattices'(X1))
=> ! [X2] :
( 'm1$usubset$u1'(X2,'u1$ustruct$u0'(X0))
=> ! [X3] :
( 'm1$usubset$u1'(X3,'u1$ustruct$u0'(X0))
=> ! [X4] :
( 'm1$usubset$u1'(X4,'u1$ustruct$u0'(X1))
=> ! [X5] :
( 'm1$usubset$u1'(X5,'u1$ustruct$u0'(X1))
=> ( ( X3 = X5
& X2 = X4 )
=> ( ( 'r1$ulattices'(X1,X4,X5)
=> 'r1$ulattices'(X0,X2,X3) )
& ( 'r1$ulattices'(X0,X2,X3)
=> 'r1$ulattices'(X1,X4,X5) )
& 'k2$ulattices'(X0,X2,X3) = 'k2$ulattices'(X1,X4,X5)
& 'k1$ulattices'(X0,X2,X3) = 'k1$ulattices'(X1,X4,X5) ) ) ) ) ) ) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( ( 'l3$ulattices'(X0)
& ~ 'v3$ustruct$u0'(X0) )
=> ! [X1] :
( ( 'l3$ulattices'(X1)
& ~ 'v3$ustruct$u0'(X1) )
=> ( 'g3$ulattices'('u1$ustruct$u0'(X0),'u2$ulattices'(X0),'u1$ulattices'(X0)) = 'g3$ulattices'('u1$ustruct$u0'(X1),'u2$ulattices'(X1),'u1$ulattices'(X1))
=> ! [X2] :
( 'm1$usubset$u1'(X2,'u1$ustruct$u0'(X0))
=> ! [X3] :
( 'm1$usubset$u1'(X3,'u1$ustruct$u0'(X0))
=> ! [X4] :
( 'm1$usubset$u1'(X4,'u1$ustruct$u0'(X1))
=> ! [X5] :
( 'm1$usubset$u1'(X5,'u1$ustruct$u0'(X1))
=> ( ( X3 = X5
& X2 = X4 )
=> ( ( 'r1$ulattices'(X1,X4,X5)
=> 'r1$ulattices'(X0,X2,X3) )
& ( 'r1$ulattices'(X0,X2,X3)
=> 'r1$ulattices'(X1,X4,X5) )
& 'k2$ulattices'(X0,X2,X3) = 'k2$ulattices'(X1,X4,X5)
& 'k1$ulattices'(X0,X2,X3) = 'k1$ulattices'(X1,X4,X5) ) ) ) ) ) ) ) ) ),
inference(negate_conjecture,[status(cth)],[t8_filter_2]) ).
cnf(c10,plain,
( ~ 'l2$ulattices'(X1)
| 'k1$ulattices'(X1,X0,X2) = 'k2$ubinop$u1'('u1$ustruct$u0'(X1),'u1$ustruct$u0'(X1),'u1$ustruct$u0'(X1),'u2$ulattices'(X1),X0,X2)
| 'v3$ustruct$u0'(X1)
| ~ 'm1$usubset$u1'(X2,'u1$ustruct$u0'(X1))
| ~ 'm1$usubset$u1'(X0,'u1$ustruct$u0'(X1)) ),
inference(clausification,[status(esa)],[d1_lattices]) ).
cnf(c11,plain,
( ~ 'm1$usubset$u1'(X2,'u1$ustruct$u0'(X0))
| ~ 'l1$ulattices'(X0)
| 'v3$ustruct$u0'(X0)
| ~ 'm1$usubset$u1'(X1,'u1$ustruct$u0'(X0))
| 'k2$ulattices'(X0,X1,X2) = 'k2$ubinop$u1'('u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0),'u1$ulattices'(X0),X1,X2) ),
inference(clausification,[status(esa)],[d2_lattices]) ).
cnf(c12,plain,
( ~ 'l2$ulattices'(X1)
| 'k1$ulattices'(X1,X0,X2) = X2
| 'v3$ustruct$u0'(X1)
| ~ 'm1$usubset$u1'(X2,'u1$ustruct$u0'(X1))
| ~ 'r1$ulattices'(X1,X0,X2)
| ~ 'm1$usubset$u1'(X0,'u1$ustruct$u0'(X1)) ),
inference(clausification,[status(esa)],[d3_lattices]) ).
cnf(c13,plain,
( 'r1$ulattices'(X1,X0,X2)
| ~ 'l2$ulattices'(X1)
| 'v3$ustruct$u0'(X1)
| ~ 'm1$usubset$u1'(X2,'u1$ustruct$u0'(X1))
| 'k1$ulattices'(X1,X0,X2) != X2
| ~ 'm1$usubset$u1'(X0,'u1$ustruct$u0'(X1)) ),
inference(clausification,[status(esa)],[d3_lattices]) ).
cnf(c22,plain,
( 'l1$ulattices'(X0)
| ~ 'l3$ulattices'(X0) ),
inference(clausification,[status(esa)],[dt_l3_lattices]) ).
cnf(c23,plain,
( 'l2$ulattices'(X0)
| ~ 'l3$ulattices'(X0) ),
inference(clausification,[status(esa)],[dt_l3_lattices]) ).
cnf(c25,plain,
( 'v1$ufunct$u1'('u1$ulattices'(X0))
| ~ 'l1$ulattices'(X0) ),
inference(clausification,[status(esa)],[dt_u1_lattices]) ).
cnf(c26,plain,
( 'v1$ufunct$u2'('u1$ulattices'(X0),'k2$uzfmisc$u1'('u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0)),'u1$ustruct$u0'(X0))
| ~ 'l1$ulattices'(X0) ),
inference(clausification,[status(esa)],[dt_u1_lattices]) ).
cnf(c27,plain,
( 'm2$urelset$u1'('u1$ulattices'(X0),'k2$uzfmisc$u1'('u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0)),'u1$ustruct$u0'(X0))
| ~ 'l1$ulattices'(X0) ),
inference(clausification,[status(esa)],[dt_u1_lattices]) ).
cnf(c28,plain,
( 'v1$ufunct$u1'('u2$ulattices'(X0))
| ~ 'l2$ulattices'(X0) ),
inference(clausification,[status(esa)],[dt_u2_lattices]) ).
cnf(c29,plain,
( 'v1$ufunct$u2'('u2$ulattices'(X0),'k2$uzfmisc$u1'('u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0)),'u1$ustruct$u0'(X0))
| ~ 'l2$ulattices'(X0) ),
inference(clausification,[status(esa)],[dt_u2_lattices]) ).
cnf(c30,plain,
( 'm2$urelset$u1'('u2$ulattices'(X0),'k2$uzfmisc$u1'('u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0)),'u1$ustruct$u0'(X0))
| ~ 'l2$ulattices'(X0) ),
inference(clausification,[status(esa)],[dt_u2_lattices]) ).
cnf(c49,plain,
( ~ 'v1$ufunct$u2'(X2,'k2$uzfmisc$u1'(X1,X1),X1)
| ~ 'm1$urelset$u1'(X0,'k2$uzfmisc$u1'(X1,X1),X1)
| ~ 'v1$ufunct$u1'(X0)
| ~ 'v1$ufunct$u1'(X2)
| X1 = X3
| 'g3$ulattices'(X1,X0,X2) != 'g3$ulattices'(X3,X4,X5)
| ~ 'm1$urelset$u1'(X2,'k2$uzfmisc$u1'(X1,X1),X1)
| ~ 'v1$ufunct$u2'(X0,'k2$uzfmisc$u1'(X1,X1),X1) ),
inference(clausification,[status(esa)],[free_g3_lattices]) ).
cnf(c50,plain,
( ~ 'v1$ufunct$u2'(X3,'k2$uzfmisc$u1'(X1,X1),X1)
| ~ 'm1$urelset$u1'(X0,'k2$uzfmisc$u1'(X1,X1),X1)
| ~ 'v1$ufunct$u1'(X0)
| ~ 'v1$ufunct$u1'(X3)
| 'g3$ulattices'(X1,X0,X3) != 'g3$ulattices'(X4,X2,X5)
| ~ 'm1$urelset$u1'(X3,'k2$uzfmisc$u1'(X1,X1),X1)
| X0 = X2
| ~ 'v1$ufunct$u2'(X0,'k2$uzfmisc$u1'(X1,X1),X1) ),
inference(clausification,[status(esa)],[free_g3_lattices]) ).
cnf(c51,plain,
( ~ 'v1$ufunct$u2'(X0,'k2$uzfmisc$u1'(X3,X3),X3)
| ~ 'm1$urelset$u1'(X2,'k2$uzfmisc$u1'(X3,X3),X3)
| ~ 'v1$ufunct$u1'(X2)
| ~ 'v1$ufunct$u1'(X0)
| 'g3$ulattices'(X3,X2,X0) != 'g3$ulattices'(X4,X5,X1)
| ~ 'm1$urelset$u1'(X0,'k2$uzfmisc$u1'(X3,X3),X3)
| ~ 'v1$ufunct$u2'(X2,'k2$uzfmisc$u1'(X3,X3),X3)
| X0 = X1 ),
inference(clausification,[status(esa)],[free_g3_lattices]) ).
cnf(c80,plain,
( 'm1$urelset$u1'(X0,X1,X2)
| ~ 'm2$urelset$u1'(X0,X1,X2) ),
inference(clausification,[status(esa)],[redefinition_m2_relset_1]) ).
cnf(c92,plain,
~ 'v3$ustruct$u0'(sK121),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c93,plain,
'l3$ulattices'(sK121),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c94,plain,
~ 'v3$ustruct$u0'(sK122),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c95,plain,
'l3$ulattices'(sK122),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c96,plain,
'g3$ulattices'('u1$ustruct$u0'(sK121),'u2$ulattices'(sK121),'u1$ulattices'(sK121)) = 'g3$ulattices'('u1$ustruct$u0'(sK122),'u2$ulattices'(sK122),'u1$ulattices'(sK122)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c97,plain,
'm1$usubset$u1'(sK123,'u1$ustruct$u0'(sK121)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c98,plain,
'm1$usubset$u1'(sK124,'u1$ustruct$u0'(sK121)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c99,plain,
'm1$usubset$u1'(sK125,'u1$ustruct$u0'(sK122)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c100,plain,
'm1$usubset$u1'(sK126,'u1$ustruct$u0'(sK122)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c101,plain,
sK123 = sK125,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c102,plain,
sK124 = sK126,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c103,plain,
( 'r1$ulattices'(sK122,sK125,sK126)
| 'r1$ulattices'(sK121,sK123,sK124)
| 'k2$ulattices'(sK121,sK123,sK124) != 'k2$ulattices'(sK122,sK125,sK126)
| 'k1$ulattices'(sK121,sK123,sK124) != 'k1$ulattices'(sK122,sK125,sK126) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c106,plain,
( ~ 'r1$ulattices'(sK121,sK123,sK124)
| ~ 'r1$ulattices'(sK122,sK125,sK126)
| 'k2$ulattices'(sK121,sK123,sK124) != 'k2$ulattices'(sK122,sK125,sK126)
| 'k1$ulattices'(sK121,sK123,sK124) != 'k1$ulattices'(sK122,sK125,sK126) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( 'm1$urelset$u1'('u2$ulattices'(X0),'k2$uzfmisc$u1'('u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0)),'u1$ustruct$u0'(X0))
| ~ 'l2$ulattices'(X0) ),
inference(resolution,[status(thm)],[c30,c80]) ).
cnf(d1,plain,
( 'm1$urelset$u1'('u1$ulattices'(X0),'k2$uzfmisc$u1'('u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0)),'u1$ustruct$u0'(X0))
| ~ 'l1$ulattices'(X0) ),
inference(resolution,[status(thm)],[c27,c80]) ).
cnf(d2,plain,
( ~ 'v1$ufunct$u2'(X1,'k2$uzfmisc$u1'(X0,X0),X0)
| ~ 'v1$ufunct$u2'(X2,'k2$uzfmisc$u1'(X0,X0),X0)
| ~ 'm1$urelset$u1'(X1,'k2$uzfmisc$u1'(X0,X0),X0)
| ~ 'm1$urelset$u1'(X2,'k2$uzfmisc$u1'(X0,X0),X0)
| ~ 'v1$ufunct$u1'(X1)
| ~ 'v1$ufunct$u1'(X2)
| X0 = 'u1$ustruct$u0'(sK122)
| 'g3$ulattices'(X0,X1,X2) != 'g3$ulattices'('u1$ustruct$u0'(sK121),'u2$ulattices'(sK121),'u1$ulattices'(sK121)) ),
inference(superposition,[status(thm)],[c96,c49]) ).
cnf(d3,plain,
( ~ 'v1$ufunct$u2'('u2$ulattices'(sK121),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK121),'u1$ustruct$u0'(sK121)),'u1$ustruct$u0'(sK121))
| ~ 'v1$ufunct$u2'('u1$ulattices'(sK121),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK121),'u1$ustruct$u0'(sK121)),'u1$ustruct$u0'(sK121))
| ~ 'm1$urelset$u1'('u2$ulattices'(sK121),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK121),'u1$ustruct$u0'(sK121)),'u1$ustruct$u0'(sK121))
| ~ 'm1$urelset$u1'('u1$ulattices'(sK121),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK121),'u1$ustruct$u0'(sK121)),'u1$ustruct$u0'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| 'u1$ustruct$u0'(sK121) = 'u1$ustruct$u0'(sK122) ),
inference(equality_resolution,[status(thm)],[d2]) ).
cnf(d4,plain,
( ~ 'l1$ulattices'(sK121)
| ~ 'v1$ufunct$u2'('u2$ulattices'(sK121),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK121),'u1$ustruct$u0'(sK121)),'u1$ustruct$u0'(sK121))
| ~ 'm1$urelset$u1'('u1$ulattices'(sK121),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK121),'u1$ustruct$u0'(sK121)),'u1$ustruct$u0'(sK121))
| ~ 'm1$urelset$u1'('u2$ulattices'(sK121),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK121),'u1$ustruct$u0'(sK121)),'u1$ustruct$u0'(sK121))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| 'u1$ustruct$u0'(sK121) = 'u1$ustruct$u0'(sK122) ),
inference(resolution,[status(thm)],[d3,c26]) ).
cnf(d5,plain,
'l1$ulattices'(sK121),
inference(resolution,[status(thm)],[c22,c93]) ).
cnf(d6,plain,
( ~ 'v1$ufunct$u2'('u2$ulattices'(sK121),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK121),'u1$ustruct$u0'(sK121)),'u1$ustruct$u0'(sK121))
| ~ 'm1$urelset$u1'('u1$ulattices'(sK121),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK121),'u1$ustruct$u0'(sK121)),'u1$ustruct$u0'(sK121))
| ~ 'm1$urelset$u1'('u2$ulattices'(sK121),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK121),'u1$ustruct$u0'(sK121)),'u1$ustruct$u0'(sK121))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| 'u1$ustruct$u0'(sK121) = 'u1$ustruct$u0'(sK122) ),
inference(resolution,[status(thm)],[d5,d4]) ).
cnf(d7,plain,
( ~ 'l2$ulattices'(sK121)
| ~ 'm1$urelset$u1'('u1$ulattices'(sK121),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK121),'u1$ustruct$u0'(sK121)),'u1$ustruct$u0'(sK121))
| ~ 'm1$urelset$u1'('u2$ulattices'(sK121),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK121),'u1$ustruct$u0'(sK121)),'u1$ustruct$u0'(sK121))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| 'u1$ustruct$u0'(sK121) = 'u1$ustruct$u0'(sK122) ),
inference(resolution,[status(thm)],[d6,c29]) ).
cnf(d8,plain,
'l2$ulattices'(sK121),
inference(resolution,[status(thm)],[c23,c93]) ).
cnf(d9,plain,
( ~ 'm1$urelset$u1'('u1$ulattices'(sK121),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK121),'u1$ustruct$u0'(sK121)),'u1$ustruct$u0'(sK121))
| ~ 'm1$urelset$u1'('u2$ulattices'(sK121),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK121),'u1$ustruct$u0'(sK121)),'u1$ustruct$u0'(sK121))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| 'u1$ustruct$u0'(sK121) = 'u1$ustruct$u0'(sK122) ),
inference(resolution,[status(thm)],[d8,d7]) ).
cnf(d10,plain,
( ~ 'l1$ulattices'(sK121)
| ~ 'm1$urelset$u1'('u2$ulattices'(sK121),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK121),'u1$ustruct$u0'(sK121)),'u1$ustruct$u0'(sK121))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| 'u1$ustruct$u0'(sK121) = 'u1$ustruct$u0'(sK122) ),
inference(resolution,[status(thm)],[d9,d1]) ).
cnf(d11,plain,
( ~ 'm1$urelset$u1'('u2$ulattices'(sK121),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK121),'u1$ustruct$u0'(sK121)),'u1$ustruct$u0'(sK121))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| 'u1$ustruct$u0'(sK121) = 'u1$ustruct$u0'(sK122) ),
inference(resolution,[status(thm)],[d5,d10]) ).
cnf(d12,plain,
( ~ 'l2$ulattices'(sK121)
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| 'u1$ustruct$u0'(sK121) = 'u1$ustruct$u0'(sK122) ),
inference(resolution,[status(thm)],[d11,d0]) ).
cnf(d13,plain,
( ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| 'u1$ustruct$u0'(sK121) = 'u1$ustruct$u0'(sK122) ),
inference(resolution,[status(thm)],[d8,d12]) ).
cnf(d14,plain,
( ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| 'v3$ustruct$u0'(sK122)
| ~ 'l2$ulattices'(sK122)
| ~ 'm1$usubset$u1'(X1,'u1$ustruct$u0'(sK122))
| ~ 'm1$usubset$u1'(X0,'u1$ustruct$u0'(sK122))
| 'k1$ulattices'(sK122,X0,X1) = 'k2$ubinop$u1'('u1$ustruct$u0'(sK122),'u1$ustruct$u0'(sK121),'u1$ustruct$u0'(sK122),'u2$ulattices'(sK122),X0,X1) ),
inference(superposition,[status(thm)],[d13,c10]) ).
cnf(d15,plain,
( ~ 'l2$ulattices'(sK122)
| ~ 'm1$usubset$u1'(X0,'u1$ustruct$u0'(sK122))
| ~ 'm1$usubset$u1'(X1,'u1$ustruct$u0'(sK122))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| 'k1$ulattices'(sK122,X0,X1) = 'k2$ubinop$u1'('u1$ustruct$u0'(sK122),'u1$ustruct$u0'(sK121),'u1$ustruct$u0'(sK122),'u2$ulattices'(sK122),X0,X1) ),
inference(resolution,[status(thm)],[c94,d14]) ).
cnf(d16,plain,
'l2$ulattices'(sK122),
inference(resolution,[status(thm)],[c23,c95]) ).
cnf(d17,plain,
( ~ 'm1$usubset$u1'(X0,'u1$ustruct$u0'(sK122))
| ~ 'm1$usubset$u1'(X1,'u1$ustruct$u0'(sK122))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| 'k1$ulattices'(sK122,X0,X1) = 'k2$ubinop$u1'('u1$ustruct$u0'(sK122),'u1$ustruct$u0'(sK121),'u1$ustruct$u0'(sK122),'u2$ulattices'(sK122),X0,X1) ),
inference(resolution,[status(thm)],[d16,d15]) ).
cnf(d18,plain,
( ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| ~ 'm1$usubset$u1'(X0,'u1$ustruct$u0'(sK122))
| ~ 'm1$usubset$u1'(X1,'u1$ustruct$u0'(sK122))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| 'k1$ulattices'(sK122,X0,X1) = 'k2$ubinop$u1'('u1$ustruct$u0'(sK121),'u1$ustruct$u0'(sK121),'u1$ustruct$u0'(sK122),'u2$ulattices'(sK122),X0,X1) ),
inference(superposition,[status(thm)],[d13,d17]) ).
cnf(d19,plain,
( ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| ~ 'm1$usubset$u1'(X0,'u1$ustruct$u0'(sK122))
| ~ 'm1$usubset$u1'(X1,'u1$ustruct$u0'(sK122))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| 'k1$ulattices'(sK122,X0,X1) = 'k2$ubinop$u1'('u1$ustruct$u0'(sK121),'u1$ustruct$u0'(sK121),'u1$ustruct$u0'(sK121),'u2$ulattices'(sK122),X0,X1) ),
inference(superposition,[status(thm)],[d13,d18]) ).
cnf(d20,plain,
( ~ 'v1$ufunct$u2'(X1,'k2$uzfmisc$u1'(X0,X0),X0)
| ~ 'v1$ufunct$u2'(X2,'k2$uzfmisc$u1'(X0,X0),X0)
| ~ 'm1$urelset$u1'(X1,'k2$uzfmisc$u1'(X0,X0),X0)
| ~ 'm1$urelset$u1'(X2,'k2$uzfmisc$u1'(X0,X0),X0)
| ~ 'v1$ufunct$u1'(X1)
| ~ 'v1$ufunct$u1'(X2)
| X1 = 'u2$ulattices'(sK122)
| 'g3$ulattices'(X0,X1,X2) != 'g3$ulattices'('u1$ustruct$u0'(sK121),'u2$ulattices'(sK121),'u1$ulattices'(sK121)) ),
inference(superposition,[status(thm)],[c96,c50]) ).
cnf(d21,plain,
( ~ 'v1$ufunct$u2'('u2$ulattices'(sK121),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK121),'u1$ustruct$u0'(sK121)),'u1$ustruct$u0'(sK121))
| ~ 'v1$ufunct$u2'('u1$ulattices'(sK121),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK121),'u1$ustruct$u0'(sK121)),'u1$ustruct$u0'(sK121))
| ~ 'm1$urelset$u1'('u2$ulattices'(sK121),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK121),'u1$ustruct$u0'(sK121)),'u1$ustruct$u0'(sK121))
| ~ 'm1$urelset$u1'('u1$ulattices'(sK121),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK121),'u1$ustruct$u0'(sK121)),'u1$ustruct$u0'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| 'u2$ulattices'(sK121) = 'u2$ulattices'(sK122) ),
inference(equality_resolution,[status(thm)],[d20]) ).
cnf(d22,plain,
( ~ 'l1$ulattices'(sK121)
| ~ 'v1$ufunct$u2'('u2$ulattices'(sK121),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK121),'u1$ustruct$u0'(sK121)),'u1$ustruct$u0'(sK121))
| ~ 'm1$urelset$u1'('u1$ulattices'(sK121),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK121),'u1$ustruct$u0'(sK121)),'u1$ustruct$u0'(sK121))
| ~ 'm1$urelset$u1'('u2$ulattices'(sK121),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK121),'u1$ustruct$u0'(sK121)),'u1$ustruct$u0'(sK121))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| 'u2$ulattices'(sK121) = 'u2$ulattices'(sK122) ),
inference(resolution,[status(thm)],[d21,c26]) ).
cnf(d23,plain,
( ~ 'v1$ufunct$u2'('u2$ulattices'(sK121),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK121),'u1$ustruct$u0'(sK121)),'u1$ustruct$u0'(sK121))
| ~ 'm1$urelset$u1'('u1$ulattices'(sK121),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK121),'u1$ustruct$u0'(sK121)),'u1$ustruct$u0'(sK121))
| ~ 'm1$urelset$u1'('u2$ulattices'(sK121),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK121),'u1$ustruct$u0'(sK121)),'u1$ustruct$u0'(sK121))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| 'u2$ulattices'(sK121) = 'u2$ulattices'(sK122) ),
inference(resolution,[status(thm)],[d5,d22]) ).
cnf(d24,plain,
( ~ 'l2$ulattices'(sK121)
| ~ 'm1$urelset$u1'('u1$ulattices'(sK121),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK121),'u1$ustruct$u0'(sK121)),'u1$ustruct$u0'(sK121))
| ~ 'm1$urelset$u1'('u2$ulattices'(sK121),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK121),'u1$ustruct$u0'(sK121)),'u1$ustruct$u0'(sK121))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| 'u2$ulattices'(sK121) = 'u2$ulattices'(sK122) ),
inference(resolution,[status(thm)],[d23,c29]) ).
cnf(d25,plain,
( ~ 'm1$urelset$u1'('u1$ulattices'(sK121),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK121),'u1$ustruct$u0'(sK121)),'u1$ustruct$u0'(sK121))
| ~ 'm1$urelset$u1'('u2$ulattices'(sK121),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK121),'u1$ustruct$u0'(sK121)),'u1$ustruct$u0'(sK121))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| 'u2$ulattices'(sK121) = 'u2$ulattices'(sK122) ),
inference(resolution,[status(thm)],[d8,d24]) ).
cnf(d26,plain,
( ~ 'l1$ulattices'(sK121)
| ~ 'm1$urelset$u1'('u2$ulattices'(sK121),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK121),'u1$ustruct$u0'(sK121)),'u1$ustruct$u0'(sK121))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| 'u2$ulattices'(sK121) = 'u2$ulattices'(sK122) ),
inference(resolution,[status(thm)],[d25,d1]) ).
cnf(d27,plain,
( ~ 'm1$urelset$u1'('u2$ulattices'(sK121),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK121),'u1$ustruct$u0'(sK121)),'u1$ustruct$u0'(sK121))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| 'u2$ulattices'(sK121) = 'u2$ulattices'(sK122) ),
inference(resolution,[status(thm)],[d5,d26]) ).
cnf(d28,plain,
( ~ 'l2$ulattices'(sK121)
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| 'u2$ulattices'(sK121) = 'u2$ulattices'(sK122) ),
inference(resolution,[status(thm)],[d27,d0]) ).
cnf(d29,plain,
( ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| 'u2$ulattices'(sK121) = 'u2$ulattices'(sK122) ),
inference(resolution,[status(thm)],[d8,d28]) ).
cnf(d30,plain,
( ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| ~ 'm1$usubset$u1'(X0,'u1$ustruct$u0'(sK122))
| ~ 'm1$usubset$u1'(X1,'u1$ustruct$u0'(sK122))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| 'k1$ulattices'(sK122,X0,X1) = 'k2$ubinop$u1'('u1$ustruct$u0'(sK121),'u1$ustruct$u0'(sK121),'u1$ustruct$u0'(sK121),'u2$ulattices'(sK121),X0,X1) ),
inference(superposition,[status(thm)],[d29,d19]) ).
cnf(d31,plain,
( ~ 'm1$usubset$u1'(X0,'u1$ustruct$u0'(sK122))
| ~ 'm1$usubset$u1'(X1,'u1$ustruct$u0'(sK122))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| 'v3$ustruct$u0'(sK121)
| ~ 'l2$ulattices'(sK121)
| ~ 'm1$usubset$u1'(X1,'u1$ustruct$u0'(sK121))
| ~ 'm1$usubset$u1'(X0,'u1$ustruct$u0'(sK121))
| 'k1$ulattices'(sK121,X0,X1) = 'k1$ulattices'(sK122,X0,X1) ),
inference(superposition,[status(thm)],[d30,c10]) ).
cnf(d32,plain,
( ~ 'l2$ulattices'(sK121)
| ~ 'm1$usubset$u1'(X0,'u1$ustruct$u0'(sK122))
| ~ 'm1$usubset$u1'(X0,'u1$ustruct$u0'(sK121))
| ~ 'm1$usubset$u1'(X1,'u1$ustruct$u0'(sK122))
| ~ 'm1$usubset$u1'(X1,'u1$ustruct$u0'(sK121))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| 'k1$ulattices'(sK121,X0,X1) = 'k1$ulattices'(sK122,X0,X1) ),
inference(resolution,[status(thm)],[c92,d31]) ).
cnf(d33,plain,
( ~ 'm1$usubset$u1'(X0,'u1$ustruct$u0'(sK122))
| ~ 'm1$usubset$u1'(X0,'u1$ustruct$u0'(sK121))
| ~ 'm1$usubset$u1'(X1,'u1$ustruct$u0'(sK122))
| ~ 'm1$usubset$u1'(X1,'u1$ustruct$u0'(sK121))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| 'k1$ulattices'(sK121,X0,X1) = 'k1$ulattices'(sK122,X0,X1) ),
inference(resolution,[status(thm)],[d8,d32]) ).
cnf(d34,plain,
( ~ 'm1$usubset$u1'(X0,'u1$ustruct$u0'(sK122))
| ~ 'm1$usubset$u1'(X0,'u1$ustruct$u0'(sK121))
| ~ 'm1$usubset$u1'(X1,'u1$ustruct$u0'(sK122))
| ~ 'm1$usubset$u1'(X1,'u1$ustruct$u0'(sK121))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| ~ 'r1$ulattices'(sK122,X0,X1)
| 'v3$ustruct$u0'(sK122)
| ~ 'l2$ulattices'(sK122)
| ~ 'm1$usubset$u1'(X0,'u1$ustruct$u0'(sK122))
| ~ 'm1$usubset$u1'(X1,'u1$ustruct$u0'(sK122))
| 'k1$ulattices'(sK121,X0,X1) = X1 ),
inference(superposition,[status(thm)],[d33,c12]) ).
cnf(d35,plain,
( ~ 'r1$ulattices'(sK122,X0,X1)
| ~ 'l2$ulattices'(sK122)
| ~ 'm1$usubset$u1'(X0,'u1$ustruct$u0'(sK122))
| ~ 'm1$usubset$u1'(X0,'u1$ustruct$u0'(sK121))
| ~ 'm1$usubset$u1'(X1,'u1$ustruct$u0'(sK122))
| ~ 'm1$usubset$u1'(X1,'u1$ustruct$u0'(sK121))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| 'k1$ulattices'(sK121,X0,X1) = X1 ),
inference(resolution,[status(thm)],[c94,d34]) ).
cnf(d36,plain,
( ~ 'r1$ulattices'(sK122,X0,X1)
| ~ 'm1$usubset$u1'(X0,'u1$ustruct$u0'(sK122))
| ~ 'm1$usubset$u1'(X0,'u1$ustruct$u0'(sK121))
| ~ 'm1$usubset$u1'(X1,'u1$ustruct$u0'(sK122))
| ~ 'm1$usubset$u1'(X1,'u1$ustruct$u0'(sK121))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| 'k1$ulattices'(sK121,X0,X1) = X1 ),
inference(resolution,[status(thm)],[d16,d35]) ).
cnf(d37,plain,
( ~ 'r1$ulattices'(sK122,X0,X1)
| ~ 'm1$usubset$u1'(X0,'u1$ustruct$u0'(sK122))
| ~ 'm1$usubset$u1'(X0,'u1$ustruct$u0'(sK121))
| ~ 'm1$usubset$u1'(X1,'u1$ustruct$u0'(sK122))
| ~ 'm1$usubset$u1'(X1,'u1$ustruct$u0'(sK121))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| 'r1$ulattices'(sK121,X0,X1)
| 'v3$ustruct$u0'(sK121)
| ~ 'l2$ulattices'(sK121)
| ~ 'm1$usubset$u1'(X0,'u1$ustruct$u0'(sK121))
| ~ 'm1$usubset$u1'(X1,'u1$ustruct$u0'(sK121))
| X1 != X1 ),
inference(superposition,[status(thm)],[d36,c13]) ).
cnf(d38,plain,
( ~ 'r1$ulattices'(sK122,X1,X0)
| 'r1$ulattices'(sK121,X1,X0)
| ~ 'l2$ulattices'(sK121)
| ~ 'm1$usubset$u1'(X1,'u1$ustruct$u0'(sK122))
| ~ 'm1$usubset$u1'(X1,'u1$ustruct$u0'(sK121))
| ~ 'm1$usubset$u1'(X0,'u1$ustruct$u0'(sK122))
| ~ 'm1$usubset$u1'(X0,'u1$ustruct$u0'(sK121))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| X0 != X0 ),
inference(resolution,[status(thm)],[c92,d37]) ).
cnf(d39,plain,
( ~ 'r1$ulattices'(sK122,X1,X0)
| 'r1$ulattices'(sK121,X1,X0)
| ~ 'm1$usubset$u1'(X0,'u1$ustruct$u0'(sK122))
| ~ 'm1$usubset$u1'(X0,'u1$ustruct$u0'(sK121))
| ~ 'm1$usubset$u1'(X1,'u1$ustruct$u0'(sK122))
| ~ 'm1$usubset$u1'(X1,'u1$ustruct$u0'(sK121))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| X0 != X0 ),
inference(resolution,[status(thm)],[d8,d38]) ).
cnf(d40,plain,
( ~ 'r1$ulattices'(sK122,X0,X1)
| 'r1$ulattices'(sK121,X0,X1)
| ~ 'm1$usubset$u1'(X1,'u1$ustruct$u0'(sK122))
| ~ 'm1$usubset$u1'(X1,'u1$ustruct$u0'(sK121))
| ~ 'm1$usubset$u1'(X0,'u1$ustruct$u0'(sK122))
| ~ 'm1$usubset$u1'(X0,'u1$ustruct$u0'(sK121))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121)) ),
inference(equality_resolution,[status(thm)],[d39]) ).
cnf(d41,plain,
( 'r1$ulattices'(sK122,sK125,sK126)
| 'r1$ulattices'(sK121,sK123,sK124)
| 'k2$ulattices'(sK121,sK123,sK124) != 'k2$ulattices'(sK122,sK125,sK126)
| 'k1$ulattices'(sK121,sK123,sK124) != 'k1$ulattices'(sK122,sK123,sK126) ),
inference(demodulation,[status(thm)],[c103,c101]) ).
cnf(d42,plain,
( 'r1$ulattices'(sK122,sK125,sK126)
| 'r1$ulattices'(sK121,sK123,sK124)
| 'k2$ulattices'(sK121,sK123,sK124) != 'k2$ulattices'(sK122,sK125,sK126)
| 'k1$ulattices'(sK121,sK123,sK124) != 'k1$ulattices'(sK122,sK123,sK124) ),
inference(demodulation,[status(thm)],[d41,c102]) ).
cnf(d43,plain,
( 'r1$ulattices'(sK122,sK125,sK126)
| 'r1$ulattices'(sK121,sK123,sK124)
| 'k2$ulattices'(sK121,sK123,sK124) != 'k2$ulattices'(sK122,sK123,sK126)
| 'k1$ulattices'(sK121,sK123,sK124) != 'k1$ulattices'(sK122,sK123,sK124) ),
inference(demodulation,[status(thm)],[d42,c101]) ).
cnf(d44,plain,
( 'r1$ulattices'(sK122,sK125,sK126)
| 'r1$ulattices'(sK121,sK123,sK124)
| 'k2$ulattices'(sK121,sK123,sK124) != 'k2$ulattices'(sK122,sK123,sK124)
| 'k1$ulattices'(sK121,sK123,sK124) != 'k1$ulattices'(sK122,sK123,sK124) ),
inference(demodulation,[status(thm)],[d43,c102]) ).
cnf(d45,plain,
( 'r1$ulattices'(sK122,sK123,sK126)
| 'r1$ulattices'(sK121,sK123,sK124)
| 'k2$ulattices'(sK121,sK123,sK124) != 'k2$ulattices'(sK122,sK123,sK124)
| 'k1$ulattices'(sK121,sK123,sK124) != 'k1$ulattices'(sK122,sK123,sK124) ),
inference(demodulation,[status(thm)],[d44,c101]) ).
cnf(d46,plain,
( 'r1$ulattices'(sK122,sK123,sK124)
| 'r1$ulattices'(sK121,sK123,sK124)
| 'k2$ulattices'(sK121,sK123,sK124) != 'k2$ulattices'(sK122,sK123,sK124)
| 'k1$ulattices'(sK121,sK123,sK124) != 'k1$ulattices'(sK122,sK123,sK124) ),
inference(demodulation,[status(thm)],[d45,c102]) ).
cnf(d47,plain,
( ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| ~ 'l1$ulattices'(sK122)
| 'v3$ustruct$u0'(sK122)
| ~ 'm1$usubset$u1'(X1,'u1$ustruct$u0'(sK122))
| ~ 'm1$usubset$u1'(X0,'u1$ustruct$u0'(sK122))
| 'k2$ulattices'(sK122,X0,X1) = 'k2$ubinop$u1'('u1$ustruct$u0'(sK122),'u1$ustruct$u0'(sK121),'u1$ustruct$u0'(sK122),'u1$ulattices'(sK122),X0,X1) ),
inference(superposition,[status(thm)],[d13,c11]) ).
cnf(d48,plain,
( ~ 'l1$ulattices'(sK122)
| ~ 'm1$usubset$u1'(X0,'u1$ustruct$u0'(sK122))
| ~ 'm1$usubset$u1'(X1,'u1$ustruct$u0'(sK122))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| 'k2$ulattices'(sK122,X0,X1) = 'k2$ubinop$u1'('u1$ustruct$u0'(sK122),'u1$ustruct$u0'(sK121),'u1$ustruct$u0'(sK122),'u1$ulattices'(sK122),X0,X1) ),
inference(resolution,[status(thm)],[c94,d47]) ).
cnf(d49,plain,
'l1$ulattices'(sK122),
inference(resolution,[status(thm)],[c22,c95]) ).
cnf(d50,plain,
( ~ 'm1$usubset$u1'(X0,'u1$ustruct$u0'(sK122))
| ~ 'm1$usubset$u1'(X1,'u1$ustruct$u0'(sK122))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| 'k2$ulattices'(sK122,X0,X1) = 'k2$ubinop$u1'('u1$ustruct$u0'(sK122),'u1$ustruct$u0'(sK121),'u1$ustruct$u0'(sK122),'u1$ulattices'(sK122),X0,X1) ),
inference(resolution,[status(thm)],[d49,d48]) ).
cnf(d51,plain,
( ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| ~ 'm1$usubset$u1'(X0,'u1$ustruct$u0'(sK122))
| ~ 'm1$usubset$u1'(X1,'u1$ustruct$u0'(sK122))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| 'k2$ulattices'(sK122,X0,X1) = 'k2$ubinop$u1'('u1$ustruct$u0'(sK121),'u1$ustruct$u0'(sK121),'u1$ustruct$u0'(sK122),'u1$ulattices'(sK122),X0,X1) ),
inference(superposition,[status(thm)],[d13,d50]) ).
cnf(d52,plain,
( ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| ~ 'm1$usubset$u1'(X0,'u1$ustruct$u0'(sK122))
| ~ 'm1$usubset$u1'(X1,'u1$ustruct$u0'(sK122))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| 'k2$ulattices'(sK122,X0,X1) = 'k2$ubinop$u1'('u1$ustruct$u0'(sK121),'u1$ustruct$u0'(sK121),'u1$ustruct$u0'(sK121),'u1$ulattices'(sK122),X0,X1) ),
inference(superposition,[status(thm)],[d13,d51]) ).
cnf(d53,plain,
( ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| ~ 'l2$ulattices'(sK122)
| 'm1$urelset$u1'('u2$ulattices'(sK122),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK122),'u1$ustruct$u0'(sK121)),'u1$ustruct$u0'(sK122)) ),
inference(superposition,[status(thm)],[d13,d0]) ).
cnf(d54,plain,
( 'm1$urelset$u1'('u2$ulattices'(sK122),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK122),'u1$ustruct$u0'(sK121)),'u1$ustruct$u0'(sK122))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121)) ),
inference(resolution,[status(thm)],[d16,d53]) ).
cnf(d55,plain,
( ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| 'm1$urelset$u1'('u2$ulattices'(sK122),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK121),'u1$ustruct$u0'(sK121)),'u1$ustruct$u0'(sK122)) ),
inference(superposition,[status(thm)],[d13,d54]) ).
cnf(d56,plain,
( ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| 'm1$urelset$u1'('u2$ulattices'(sK122),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK121),'u1$ustruct$u0'(sK121)),'u1$ustruct$u0'(sK121)) ),
inference(superposition,[status(thm)],[d13,d55]) ).
cnf(d57,plain,
( ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| 'm1$urelset$u1'('u2$ulattices'(sK121),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK121),'u1$ustruct$u0'(sK121)),'u1$ustruct$u0'(sK121)) ),
inference(superposition,[status(thm)],[d29,d56]) ).
cnf(d58,plain,
( ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| ~ 'l2$ulattices'(sK122)
| 'v1$ufunct$u2'('u2$ulattices'(sK122),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK122),'u1$ustruct$u0'(sK122)),'u1$ustruct$u0'(sK121)) ),
inference(superposition,[status(thm)],[d13,c29]) ).
cnf(d59,plain,
( 'v1$ufunct$u2'('u2$ulattices'(sK122),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK122),'u1$ustruct$u0'(sK122)),'u1$ustruct$u0'(sK121))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121)) ),
inference(resolution,[status(thm)],[d16,d58]) ).
cnf(d60,plain,
( ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| 'v1$ufunct$u2'('u2$ulattices'(sK122),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK121),'u1$ustruct$u0'(sK122)),'u1$ustruct$u0'(sK121)) ),
inference(superposition,[status(thm)],[d13,d59]) ).
cnf(d61,plain,
( ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| 'v1$ufunct$u2'('u2$ulattices'(sK122),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK121),'u1$ustruct$u0'(sK121)),'u1$ustruct$u0'(sK121)) ),
inference(superposition,[status(thm)],[d13,d60]) ).
cnf(d62,plain,
( ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| 'v1$ufunct$u2'('u2$ulattices'(sK121),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK121),'u1$ustruct$u0'(sK121)),'u1$ustruct$u0'(sK121)) ),
inference(superposition,[status(thm)],[d29,d61]) ).
cnf(d63,plain,
( ~ 'v1$ufunct$u2'(X1,'k2$uzfmisc$u1'(X0,X0),X0)
| ~ 'v1$ufunct$u2'(X2,'k2$uzfmisc$u1'(X0,X0),X0)
| ~ 'm1$urelset$u1'(X1,'k2$uzfmisc$u1'(X0,X0),X0)
| ~ 'm1$urelset$u1'(X2,'k2$uzfmisc$u1'(X0,X0),X0)
| ~ 'v1$ufunct$u1'(X1)
| ~ 'v1$ufunct$u1'(X2)
| X2 = 'u1$ulattices'(sK122)
| 'g3$ulattices'(X0,X1,X2) != 'g3$ulattices'('u1$ustruct$u0'(sK121),'u2$ulattices'(sK121),'u1$ulattices'(sK121)) ),
inference(superposition,[status(thm)],[c96,c51]) ).
cnf(d64,plain,
( ~ 'v1$ufunct$u2'('u2$ulattices'(sK121),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK121),'u1$ustruct$u0'(sK121)),'u1$ustruct$u0'(sK121))
| ~ 'v1$ufunct$u2'('u1$ulattices'(sK121),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK121),'u1$ustruct$u0'(sK121)),'u1$ustruct$u0'(sK121))
| ~ 'm1$urelset$u1'('u2$ulattices'(sK121),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK121),'u1$ustruct$u0'(sK121)),'u1$ustruct$u0'(sK121))
| ~ 'm1$urelset$u1'('u1$ulattices'(sK121),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK121),'u1$ustruct$u0'(sK121)),'u1$ustruct$u0'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| 'u1$ulattices'(sK121) = 'u1$ulattices'(sK122) ),
inference(equality_resolution,[status(thm)],[d63]) ).
cnf(d65,plain,
( ~ 'l1$ulattices'(sK121)
| ~ 'v1$ufunct$u2'('u2$ulattices'(sK121),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK121),'u1$ustruct$u0'(sK121)),'u1$ustruct$u0'(sK121))
| ~ 'm1$urelset$u1'('u1$ulattices'(sK121),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK121),'u1$ustruct$u0'(sK121)),'u1$ustruct$u0'(sK121))
| ~ 'm1$urelset$u1'('u2$ulattices'(sK121),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK121),'u1$ustruct$u0'(sK121)),'u1$ustruct$u0'(sK121))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| 'u1$ulattices'(sK121) = 'u1$ulattices'(sK122) ),
inference(resolution,[status(thm)],[d64,c26]) ).
cnf(d66,plain,
( ~ 'v1$ufunct$u2'('u2$ulattices'(sK121),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK121),'u1$ustruct$u0'(sK121)),'u1$ustruct$u0'(sK121))
| ~ 'm1$urelset$u1'('u1$ulattices'(sK121),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK121),'u1$ustruct$u0'(sK121)),'u1$ustruct$u0'(sK121))
| ~ 'm1$urelset$u1'('u2$ulattices'(sK121),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK121),'u1$ustruct$u0'(sK121)),'u1$ustruct$u0'(sK121))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| 'u1$ulattices'(sK121) = 'u1$ulattices'(sK122) ),
inference(resolution,[status(thm)],[d5,d65]) ).
cnf(d67,plain,
( ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| ~ 'm1$urelset$u1'('u1$ulattices'(sK121),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK121),'u1$ustruct$u0'(sK121)),'u1$ustruct$u0'(sK121))
| ~ 'm1$urelset$u1'('u2$ulattices'(sK121),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK121),'u1$ustruct$u0'(sK121)),'u1$ustruct$u0'(sK121))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| 'u1$ulattices'(sK121) = 'u1$ulattices'(sK122) ),
inference(resolution,[status(thm)],[d66,d62]) ).
cnf(d68,plain,
( ~ 'l1$ulattices'(sK121)
| ~ 'm1$urelset$u1'('u2$ulattices'(sK121),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK121),'u1$ustruct$u0'(sK121)),'u1$ustruct$u0'(sK121))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| 'u1$ulattices'(sK121) = 'u1$ulattices'(sK122) ),
inference(resolution,[status(thm)],[d67,d1]) ).
cnf(d69,plain,
( ~ 'm1$urelset$u1'('u2$ulattices'(sK121),'k2$uzfmisc$u1'('u1$ustruct$u0'(sK121),'u1$ustruct$u0'(sK121)),'u1$ustruct$u0'(sK121))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| 'u1$ulattices'(sK121) = 'u1$ulattices'(sK122) ),
inference(resolution,[status(thm)],[d5,d68]) ).
cnf(d70,plain,
( ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| 'u1$ulattices'(sK121) = 'u1$ulattices'(sK122) ),
inference(resolution,[status(thm)],[d69,d57]) ).
cnf(d71,plain,
( ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| ~ 'm1$usubset$u1'(X0,'u1$ustruct$u0'(sK122))
| ~ 'm1$usubset$u1'(X1,'u1$ustruct$u0'(sK122))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| 'k2$ulattices'(sK122,X0,X1) = 'k2$ubinop$u1'('u1$ustruct$u0'(sK121),'u1$ustruct$u0'(sK121),'u1$ustruct$u0'(sK121),'u1$ulattices'(sK121),X0,X1) ),
inference(superposition,[status(thm)],[d70,d52]) ).
cnf(d72,plain,
( ~ 'm1$usubset$u1'(X0,'u1$ustruct$u0'(sK122))
| ~ 'm1$usubset$u1'(X1,'u1$ustruct$u0'(sK122))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| ~ 'l1$ulattices'(sK121)
| 'v3$ustruct$u0'(sK121)
| ~ 'm1$usubset$u1'(X1,'u1$ustruct$u0'(sK121))
| ~ 'm1$usubset$u1'(X0,'u1$ustruct$u0'(sK121))
| 'k2$ulattices'(sK121,X0,X1) = 'k2$ulattices'(sK122,X0,X1) ),
inference(superposition,[status(thm)],[d71,c11]) ).
cnf(d73,plain,
( ~ 'l1$ulattices'(sK121)
| ~ 'm1$usubset$u1'(X0,'u1$ustruct$u0'(sK122))
| ~ 'm1$usubset$u1'(X0,'u1$ustruct$u0'(sK121))
| ~ 'm1$usubset$u1'(X1,'u1$ustruct$u0'(sK122))
| ~ 'm1$usubset$u1'(X1,'u1$ustruct$u0'(sK121))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| 'k2$ulattices'(sK121,X0,X1) = 'k2$ulattices'(sK122,X0,X1) ),
inference(resolution,[status(thm)],[c92,d72]) ).
cnf(d74,plain,
( ~ 'm1$usubset$u1'(X0,'u1$ustruct$u0'(sK122))
| ~ 'm1$usubset$u1'(X0,'u1$ustruct$u0'(sK121))
| ~ 'm1$usubset$u1'(X1,'u1$ustruct$u0'(sK122))
| ~ 'm1$usubset$u1'(X1,'u1$ustruct$u0'(sK121))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| 'k2$ulattices'(sK121,X0,X1) = 'k2$ulattices'(sK122,X0,X1) ),
inference(resolution,[status(thm)],[d5,d73]) ).
cnf(d75,plain,
( ~ 'm1$usubset$u1'(sK123,'u1$ustruct$u0'(sK122))
| ~ 'm1$usubset$u1'(sK123,'u1$ustruct$u0'(sK121))
| ~ 'm1$usubset$u1'(sK124,'u1$ustruct$u0'(sK122))
| ~ 'm1$usubset$u1'(sK124,'u1$ustruct$u0'(sK121))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| 'r1$ulattices'(sK122,sK123,sK124)
| 'r1$ulattices'(sK121,sK123,sK124)
| 'k1$ulattices'(sK121,sK123,sK124) != 'k1$ulattices'(sK122,sK123,sK124)
| 'k2$ulattices'(sK121,sK123,sK124) != 'k2$ulattices'(sK121,sK123,sK124) ),
inference(superposition,[status(thm)],[d74,d46]) ).
cnf(d76,plain,
( 'r1$ulattices'(sK122,sK123,sK124)
| 'r1$ulattices'(sK121,sK123,sK124)
| ~ 'm1$usubset$u1'(sK124,'u1$ustruct$u0'(sK122))
| ~ 'm1$usubset$u1'(sK124,'u1$ustruct$u0'(sK121))
| ~ 'm1$usubset$u1'(sK123,'u1$ustruct$u0'(sK122))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| 'k2$ulattices'(sK121,sK123,sK124) != 'k2$ulattices'(sK121,sK123,sK124)
| 'k1$ulattices'(sK121,sK123,sK124) != 'k1$ulattices'(sK122,sK123,sK124) ),
inference(resolution,[status(thm)],[c97,d75]) ).
cnf(d77,plain,
( 'r1$ulattices'(sK122,sK123,sK124)
| 'r1$ulattices'(sK121,sK123,sK124)
| ~ 'm1$usubset$u1'(sK124,'u1$ustruct$u0'(sK122))
| ~ 'm1$usubset$u1'(sK123,'u1$ustruct$u0'(sK122))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| 'k2$ulattices'(sK121,sK123,sK124) != 'k2$ulattices'(sK121,sK123,sK124)
| 'k1$ulattices'(sK121,sK123,sK124) != 'k1$ulattices'(sK122,sK123,sK124) ),
inference(resolution,[status(thm)],[c98,d76]) ).
cnf(d78,plain,
'm1$usubset$u1'(sK123,'u1$ustruct$u0'(sK122)),
inference(demodulation,[status(thm)],[c99,c101]) ).
cnf(d79,plain,
( 'r1$ulattices'(sK122,sK123,sK124)
| 'r1$ulattices'(sK121,sK123,sK124)
| ~ 'm1$usubset$u1'(sK124,'u1$ustruct$u0'(sK122))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| 'k2$ulattices'(sK121,sK123,sK124) != 'k2$ulattices'(sK121,sK123,sK124)
| 'k1$ulattices'(sK121,sK123,sK124) != 'k1$ulattices'(sK122,sK123,sK124) ),
inference(resolution,[status(thm)],[d78,d77]) ).
cnf(d80,plain,
'm1$usubset$u1'(sK124,'u1$ustruct$u0'(sK122)),
inference(demodulation,[status(thm)],[c100,c102]) ).
cnf(d81,plain,
( 'r1$ulattices'(sK122,sK123,sK124)
| 'r1$ulattices'(sK121,sK123,sK124)
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| 'k2$ulattices'(sK121,sK123,sK124) != 'k2$ulattices'(sK121,sK123,sK124)
| 'k1$ulattices'(sK121,sK123,sK124) != 'k1$ulattices'(sK122,sK123,sK124) ),
inference(resolution,[status(thm)],[d80,d79]) ).
cnf(d82,plain,
( 'r1$ulattices'(sK122,sK123,sK124)
| 'r1$ulattices'(sK121,sK123,sK124)
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| 'k1$ulattices'(sK121,sK123,sK124) != 'k1$ulattices'(sK122,sK123,sK124) ),
inference(equality_resolution,[status(thm)],[d81]) ).
cnf(d83,plain,
( ~ 'm1$usubset$u1'(sK123,'u1$ustruct$u0'(sK122))
| ~ 'm1$usubset$u1'(sK123,'u1$ustruct$u0'(sK121))
| ~ 'm1$usubset$u1'(sK124,'u1$ustruct$u0'(sK122))
| ~ 'm1$usubset$u1'(sK124,'u1$ustruct$u0'(sK121))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| 'r1$ulattices'(sK122,sK123,sK124)
| 'r1$ulattices'(sK121,sK123,sK124)
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| 'k1$ulattices'(sK121,sK123,sK124) != 'k1$ulattices'(sK121,sK123,sK124) ),
inference(superposition,[status(thm)],[d33,d82]) ).
cnf(d84,plain,
( 'r1$ulattices'(sK122,sK123,sK124)
| 'r1$ulattices'(sK121,sK123,sK124)
| ~ 'm1$usubset$u1'(sK124,'u1$ustruct$u0'(sK122))
| ~ 'm1$usubset$u1'(sK124,'u1$ustruct$u0'(sK121))
| ~ 'm1$usubset$u1'(sK123,'u1$ustruct$u0'(sK122))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| 'k1$ulattices'(sK121,sK123,sK124) != 'k1$ulattices'(sK121,sK123,sK124) ),
inference(resolution,[status(thm)],[c97,d83]) ).
cnf(d85,plain,
( 'r1$ulattices'(sK122,sK123,sK124)
| 'r1$ulattices'(sK121,sK123,sK124)
| ~ 'm1$usubset$u1'(sK124,'u1$ustruct$u0'(sK122))
| ~ 'm1$usubset$u1'(sK123,'u1$ustruct$u0'(sK122))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| 'k1$ulattices'(sK121,sK123,sK124) != 'k1$ulattices'(sK121,sK123,sK124) ),
inference(resolution,[status(thm)],[c98,d84]) ).
cnf(d86,plain,
( 'r1$ulattices'(sK122,sK123,sK124)
| 'r1$ulattices'(sK121,sK123,sK124)
| ~ 'm1$usubset$u1'(sK124,'u1$ustruct$u0'(sK122))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| 'k1$ulattices'(sK121,sK123,sK124) != 'k1$ulattices'(sK121,sK123,sK124) ),
inference(resolution,[status(thm)],[d78,d85]) ).
cnf(d87,plain,
( 'r1$ulattices'(sK122,sK123,sK124)
| 'r1$ulattices'(sK121,sK123,sK124)
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| 'k1$ulattices'(sK121,sK123,sK124) != 'k1$ulattices'(sK121,sK123,sK124) ),
inference(resolution,[status(thm)],[d80,d86]) ).
cnf(d88,plain,
( 'r1$ulattices'(sK122,sK123,sK124)
| 'r1$ulattices'(sK121,sK123,sK124)
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121)) ),
inference(equality_resolution,[status(thm)],[d87]) ).
cnf(d89,plain,
( 'r1$ulattices'(sK121,sK123,sK124)
| ~ 'm1$usubset$u1'(sK123,'u1$ustruct$u0'(sK122))
| ~ 'm1$usubset$u1'(sK123,'u1$ustruct$u0'(sK121))
| ~ 'm1$usubset$u1'(sK124,'u1$ustruct$u0'(sK122))
| ~ 'm1$usubset$u1'(sK124,'u1$ustruct$u0'(sK121))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| 'r1$ulattices'(sK121,sK123,sK124)
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121)) ),
inference(resolution,[status(thm)],[d88,d40]) ).
cnf(d90,plain,
( 'r1$ulattices'(sK121,sK123,sK124)
| ~ 'm1$usubset$u1'(sK124,'u1$ustruct$u0'(sK122))
| ~ 'm1$usubset$u1'(sK124,'u1$ustruct$u0'(sK121))
| ~ 'm1$usubset$u1'(sK123,'u1$ustruct$u0'(sK122))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121)) ),
inference(resolution,[status(thm)],[c97,d89]) ).
cnf(d91,plain,
( 'r1$ulattices'(sK121,sK123,sK124)
| ~ 'm1$usubset$u1'(sK124,'u1$ustruct$u0'(sK122))
| ~ 'm1$usubset$u1'(sK123,'u1$ustruct$u0'(sK122))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121)) ),
inference(resolution,[status(thm)],[c98,d90]) ).
cnf(d92,plain,
( 'r1$ulattices'(sK121,sK123,sK124)
| ~ 'm1$usubset$u1'(sK124,'u1$ustruct$u0'(sK122))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121)) ),
inference(resolution,[status(thm)],[d78,d91]) ).
cnf(d93,plain,
( 'r1$ulattices'(sK121,sK123,sK124)
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121)) ),
inference(resolution,[status(thm)],[d80,d92]) ).
cnf(d94,plain,
( ~ 'm1$usubset$u1'(X0,'u1$ustruct$u0'(sK122))
| ~ 'm1$usubset$u1'(X0,'u1$ustruct$u0'(sK121))
| ~ 'm1$usubset$u1'(X1,'u1$ustruct$u0'(sK122))
| ~ 'm1$usubset$u1'(X1,'u1$ustruct$u0'(sK121))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| 'r1$ulattices'(sK122,X0,X1)
| 'v3$ustruct$u0'(sK122)
| ~ 'l2$ulattices'(sK122)
| ~ 'm1$usubset$u1'(X0,'u1$ustruct$u0'(sK122))
| ~ 'm1$usubset$u1'(X1,'u1$ustruct$u0'(sK122))
| 'k1$ulattices'(sK121,X0,X1) != X1 ),
inference(superposition,[status(thm)],[d33,c13]) ).
cnf(d95,plain,
( 'r1$ulattices'(sK122,X0,X1)
| ~ 'l2$ulattices'(sK122)
| ~ 'm1$usubset$u1'(X0,'u1$ustruct$u0'(sK122))
| ~ 'm1$usubset$u1'(X0,'u1$ustruct$u0'(sK121))
| ~ 'm1$usubset$u1'(X1,'u1$ustruct$u0'(sK122))
| ~ 'm1$usubset$u1'(X1,'u1$ustruct$u0'(sK121))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| 'k1$ulattices'(sK121,X0,X1) != X1 ),
inference(resolution,[status(thm)],[c94,d94]) ).
cnf(d96,plain,
( 'r1$ulattices'(sK122,X0,X1)
| ~ 'm1$usubset$u1'(X0,'u1$ustruct$u0'(sK122))
| ~ 'm1$usubset$u1'(X0,'u1$ustruct$u0'(sK121))
| ~ 'm1$usubset$u1'(X1,'u1$ustruct$u0'(sK122))
| ~ 'm1$usubset$u1'(X1,'u1$ustruct$u0'(sK121))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| 'k1$ulattices'(sK121,X0,X1) != X1 ),
inference(resolution,[status(thm)],[d16,d95]) ).
cnf(d97,plain,
( ~ 'r1$ulattices'(sK121,X0,X1)
| 'v3$ustruct$u0'(sK121)
| ~ 'l2$ulattices'(sK121)
| ~ 'm1$usubset$u1'(X0,'u1$ustruct$u0'(sK121))
| ~ 'm1$usubset$u1'(X1,'u1$ustruct$u0'(sK121))
| 'r1$ulattices'(sK122,X0,X1)
| ~ 'm1$usubset$u1'(X0,'u1$ustruct$u0'(sK122))
| ~ 'm1$usubset$u1'(X0,'u1$ustruct$u0'(sK121))
| ~ 'm1$usubset$u1'(X1,'u1$ustruct$u0'(sK122))
| ~ 'm1$usubset$u1'(X1,'u1$ustruct$u0'(sK121))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| X1 != X1 ),
inference(superposition,[status(thm)],[c12,d96]) ).
cnf(d98,plain,
( 'r1$ulattices'(sK122,X1,X0)
| ~ 'r1$ulattices'(sK121,X1,X0)
| ~ 'l2$ulattices'(sK121)
| ~ 'm1$usubset$u1'(X1,'u1$ustruct$u0'(sK122))
| ~ 'm1$usubset$u1'(X1,'u1$ustruct$u0'(sK121))
| ~ 'm1$usubset$u1'(X0,'u1$ustruct$u0'(sK122))
| ~ 'm1$usubset$u1'(X0,'u1$ustruct$u0'(sK121))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| X0 != X0 ),
inference(resolution,[status(thm)],[c92,d97]) ).
cnf(d99,plain,
( 'r1$ulattices'(sK122,X1,X0)
| ~ 'r1$ulattices'(sK121,X1,X0)
| ~ 'm1$usubset$u1'(X0,'u1$ustruct$u0'(sK122))
| ~ 'm1$usubset$u1'(X0,'u1$ustruct$u0'(sK121))
| ~ 'm1$usubset$u1'(X1,'u1$ustruct$u0'(sK122))
| ~ 'm1$usubset$u1'(X1,'u1$ustruct$u0'(sK121))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| X0 != X0 ),
inference(resolution,[status(thm)],[d8,d98]) ).
cnf(d100,plain,
( 'r1$ulattices'(sK122,X0,X1)
| ~ 'r1$ulattices'(sK121,X0,X1)
| ~ 'm1$usubset$u1'(X1,'u1$ustruct$u0'(sK122))
| ~ 'm1$usubset$u1'(X1,'u1$ustruct$u0'(sK121))
| ~ 'm1$usubset$u1'(X0,'u1$ustruct$u0'(sK122))
| ~ 'm1$usubset$u1'(X0,'u1$ustruct$u0'(sK121))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121)) ),
inference(equality_resolution,[status(thm)],[d99]) ).
cnf(d101,plain,
( 'r1$ulattices'(sK122,sK123,sK124)
| ~ 'm1$usubset$u1'(sK123,'u1$ustruct$u0'(sK122))
| ~ 'm1$usubset$u1'(sK123,'u1$ustruct$u0'(sK121))
| ~ 'm1$usubset$u1'(sK124,'u1$ustruct$u0'(sK122))
| ~ 'm1$usubset$u1'(sK124,'u1$ustruct$u0'(sK121))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121)) ),
inference(resolution,[status(thm)],[d93,d100]) ).
cnf(d102,plain,
( 'r1$ulattices'(sK122,sK123,sK124)
| ~ 'm1$usubset$u1'(sK124,'u1$ustruct$u0'(sK122))
| ~ 'm1$usubset$u1'(sK124,'u1$ustruct$u0'(sK121))
| ~ 'm1$usubset$u1'(sK123,'u1$ustruct$u0'(sK122))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121)) ),
inference(resolution,[status(thm)],[c97,d101]) ).
cnf(d103,plain,
( 'r1$ulattices'(sK122,sK123,sK124)
| ~ 'm1$usubset$u1'(sK124,'u1$ustruct$u0'(sK122))
| ~ 'm1$usubset$u1'(sK123,'u1$ustruct$u0'(sK122))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121)) ),
inference(resolution,[status(thm)],[c98,d102]) ).
cnf(d104,plain,
( 'r1$ulattices'(sK122,sK123,sK124)
| ~ 'm1$usubset$u1'(sK124,'u1$ustruct$u0'(sK122))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121)) ),
inference(resolution,[status(thm)],[d78,d103]) ).
cnf(d105,plain,
( 'r1$ulattices'(sK122,sK123,sK124)
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121)) ),
inference(resolution,[status(thm)],[d80,d104]) ).
cnf(d106,plain,
( ~ 'r1$ulattices'(sK122,sK125,sK126)
| ~ 'r1$ulattices'(sK121,sK123,sK124)
| 'k2$ulattices'(sK121,sK123,sK124) != 'k2$ulattices'(sK122,sK125,sK126)
| 'k1$ulattices'(sK121,sK123,sK124) != 'k1$ulattices'(sK122,sK123,sK126) ),
inference(demodulation,[status(thm)],[c106,c101]) ).
cnf(d107,plain,
( ~ 'r1$ulattices'(sK122,sK125,sK126)
| ~ 'r1$ulattices'(sK121,sK123,sK124)
| 'k2$ulattices'(sK121,sK123,sK124) != 'k2$ulattices'(sK122,sK125,sK126)
| 'k1$ulattices'(sK121,sK123,sK124) != 'k1$ulattices'(sK122,sK123,sK124) ),
inference(demodulation,[status(thm)],[d106,c102]) ).
cnf(d108,plain,
( ~ 'r1$ulattices'(sK122,sK125,sK126)
| ~ 'r1$ulattices'(sK121,sK123,sK124)
| 'k2$ulattices'(sK121,sK123,sK124) != 'k2$ulattices'(sK122,sK123,sK126)
| 'k1$ulattices'(sK121,sK123,sK124) != 'k1$ulattices'(sK122,sK123,sK124) ),
inference(demodulation,[status(thm)],[d107,c101]) ).
cnf(d109,plain,
( ~ 'r1$ulattices'(sK122,sK125,sK126)
| ~ 'r1$ulattices'(sK121,sK123,sK124)
| 'k2$ulattices'(sK121,sK123,sK124) != 'k2$ulattices'(sK122,sK123,sK124)
| 'k1$ulattices'(sK121,sK123,sK124) != 'k1$ulattices'(sK122,sK123,sK124) ),
inference(demodulation,[status(thm)],[d108,c102]) ).
cnf(d110,plain,
( ~ 'r1$ulattices'(sK122,sK123,sK126)
| ~ 'r1$ulattices'(sK121,sK123,sK124)
| 'k2$ulattices'(sK121,sK123,sK124) != 'k2$ulattices'(sK122,sK123,sK124)
| 'k1$ulattices'(sK121,sK123,sK124) != 'k1$ulattices'(sK122,sK123,sK124) ),
inference(demodulation,[status(thm)],[d109,c101]) ).
cnf(d111,plain,
( ~ 'r1$ulattices'(sK122,sK123,sK124)
| ~ 'r1$ulattices'(sK121,sK123,sK124)
| 'k2$ulattices'(sK121,sK123,sK124) != 'k2$ulattices'(sK122,sK123,sK124)
| 'k1$ulattices'(sK121,sK123,sK124) != 'k1$ulattices'(sK122,sK123,sK124) ),
inference(demodulation,[status(thm)],[d110,c102]) ).
cnf(d112,plain,
( ~ 'm1$usubset$u1'(sK123,'u1$ustruct$u0'(sK122))
| ~ 'm1$usubset$u1'(sK123,'u1$ustruct$u0'(sK121))
| ~ 'm1$usubset$u1'(sK124,'u1$ustruct$u0'(sK122))
| ~ 'm1$usubset$u1'(sK124,'u1$ustruct$u0'(sK121))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| ~ 'r1$ulattices'(sK122,sK123,sK124)
| ~ 'r1$ulattices'(sK121,sK123,sK124)
| 'k1$ulattices'(sK121,sK123,sK124) != 'k1$ulattices'(sK122,sK123,sK124)
| 'k2$ulattices'(sK121,sK123,sK124) != 'k2$ulattices'(sK121,sK123,sK124) ),
inference(superposition,[status(thm)],[d74,d111]) ).
cnf(d113,plain,
( ~ 'r1$ulattices'(sK122,sK123,sK124)
| ~ 'r1$ulattices'(sK121,sK123,sK124)
| ~ 'm1$usubset$u1'(sK124,'u1$ustruct$u0'(sK122))
| ~ 'm1$usubset$u1'(sK124,'u1$ustruct$u0'(sK121))
| ~ 'm1$usubset$u1'(sK123,'u1$ustruct$u0'(sK122))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| 'k2$ulattices'(sK121,sK123,sK124) != 'k2$ulattices'(sK121,sK123,sK124)
| 'k1$ulattices'(sK121,sK123,sK124) != 'k1$ulattices'(sK122,sK123,sK124) ),
inference(resolution,[status(thm)],[c97,d112]) ).
cnf(d114,plain,
( ~ 'r1$ulattices'(sK122,sK123,sK124)
| ~ 'r1$ulattices'(sK121,sK123,sK124)
| ~ 'm1$usubset$u1'(sK124,'u1$ustruct$u0'(sK122))
| ~ 'm1$usubset$u1'(sK123,'u1$ustruct$u0'(sK122))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| 'k2$ulattices'(sK121,sK123,sK124) != 'k2$ulattices'(sK121,sK123,sK124)
| 'k1$ulattices'(sK121,sK123,sK124) != 'k1$ulattices'(sK122,sK123,sK124) ),
inference(resolution,[status(thm)],[c98,d113]) ).
cnf(d115,plain,
( ~ 'r1$ulattices'(sK122,sK123,sK124)
| ~ 'r1$ulattices'(sK121,sK123,sK124)
| ~ 'm1$usubset$u1'(sK124,'u1$ustruct$u0'(sK122))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| 'k2$ulattices'(sK121,sK123,sK124) != 'k2$ulattices'(sK121,sK123,sK124)
| 'k1$ulattices'(sK121,sK123,sK124) != 'k1$ulattices'(sK122,sK123,sK124) ),
inference(resolution,[status(thm)],[d78,d114]) ).
cnf(d116,plain,
( ~ 'r1$ulattices'(sK122,sK123,sK124)
| ~ 'r1$ulattices'(sK121,sK123,sK124)
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| 'k2$ulattices'(sK121,sK123,sK124) != 'k2$ulattices'(sK121,sK123,sK124)
| 'k1$ulattices'(sK121,sK123,sK124) != 'k1$ulattices'(sK122,sK123,sK124) ),
inference(resolution,[status(thm)],[d80,d115]) ).
cnf(d117,plain,
( ~ 'r1$ulattices'(sK122,sK123,sK124)
| ~ 'r1$ulattices'(sK121,sK123,sK124)
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| 'k1$ulattices'(sK121,sK123,sK124) != 'k1$ulattices'(sK122,sK123,sK124) ),
inference(equality_resolution,[status(thm)],[d116]) ).
cnf(d118,plain,
( ~ 'r1$ulattices'(sK122,sK123,sK124)
| 'v3$ustruct$u0'(sK122)
| ~ 'l2$ulattices'(sK122)
| ~ 'm1$usubset$u1'(sK123,'u1$ustruct$u0'(sK122))
| ~ 'm1$usubset$u1'(sK124,'u1$ustruct$u0'(sK122))
| ~ 'r1$ulattices'(sK122,sK123,sK124)
| ~ 'r1$ulattices'(sK121,sK123,sK124)
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| 'k1$ulattices'(sK121,sK123,sK124) != sK124 ),
inference(superposition,[status(thm)],[c12,d117]) ).
cnf(d119,plain,
( ~ 'r1$ulattices'(sK122,sK123,sK124)
| ~ 'r1$ulattices'(sK121,sK123,sK124)
| ~ 'l2$ulattices'(sK122)
| ~ 'm1$usubset$u1'(sK124,'u1$ustruct$u0'(sK122))
| ~ 'm1$usubset$u1'(sK123,'u1$ustruct$u0'(sK122))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| 'k1$ulattices'(sK121,sK123,sK124) != sK124 ),
inference(resolution,[status(thm)],[c94,d118]) ).
cnf(d120,plain,
( ~ 'r1$ulattices'(sK122,sK123,sK124)
| ~ 'r1$ulattices'(sK121,sK123,sK124)
| ~ 'l2$ulattices'(sK122)
| ~ 'm1$usubset$u1'(sK124,'u1$ustruct$u0'(sK122))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| 'k1$ulattices'(sK121,sK123,sK124) != sK124 ),
inference(resolution,[status(thm)],[d78,d119]) ).
cnf(d121,plain,
( ~ 'r1$ulattices'(sK122,sK123,sK124)
| ~ 'r1$ulattices'(sK121,sK123,sK124)
| ~ 'l2$ulattices'(sK122)
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| 'k1$ulattices'(sK121,sK123,sK124) != sK124 ),
inference(resolution,[status(thm)],[d80,d120]) ).
cnf(d122,plain,
( ~ 'r1$ulattices'(sK122,sK123,sK124)
| ~ 'r1$ulattices'(sK121,sK123,sK124)
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| 'k1$ulattices'(sK121,sK123,sK124) != sK124 ),
inference(resolution,[status(thm)],[d16,d121]) ).
cnf(d123,plain,
( ~ 'r1$ulattices'(sK121,sK123,sK124)
| 'v3$ustruct$u0'(sK121)
| ~ 'l2$ulattices'(sK121)
| ~ 'm1$usubset$u1'(sK123,'u1$ustruct$u0'(sK121))
| ~ 'm1$usubset$u1'(sK124,'u1$ustruct$u0'(sK121))
| ~ 'r1$ulattices'(sK122,sK123,sK124)
| ~ 'r1$ulattices'(sK121,sK123,sK124)
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| sK124 != sK124 ),
inference(superposition,[status(thm)],[c12,d122]) ).
cnf(d124,plain,
( ~ 'r1$ulattices'(sK122,sK123,sK124)
| ~ 'r1$ulattices'(sK121,sK123,sK124)
| ~ 'l2$ulattices'(sK121)
| ~ 'm1$usubset$u1'(sK124,'u1$ustruct$u0'(sK121))
| ~ 'm1$usubset$u1'(sK123,'u1$ustruct$u0'(sK121))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| sK124 != sK124 ),
inference(resolution,[status(thm)],[c92,d123]) ).
cnf(d125,plain,
( ~ 'r1$ulattices'(sK122,sK123,sK124)
| ~ 'r1$ulattices'(sK121,sK123,sK124)
| ~ 'l2$ulattices'(sK121)
| ~ 'm1$usubset$u1'(sK124,'u1$ustruct$u0'(sK121))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| sK124 != sK124 ),
inference(resolution,[status(thm)],[c97,d124]) ).
cnf(d126,plain,
( ~ 'r1$ulattices'(sK122,sK123,sK124)
| ~ 'r1$ulattices'(sK121,sK123,sK124)
| ~ 'l2$ulattices'(sK121)
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| sK124 != sK124 ),
inference(resolution,[status(thm)],[c98,d125]) ).
cnf(d127,plain,
( ~ 'r1$ulattices'(sK122,sK123,sK124)
| ~ 'r1$ulattices'(sK121,sK123,sK124)
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| sK124 != sK124 ),
inference(resolution,[status(thm)],[d8,d126]) ).
cnf(d128,plain,
( ~ 'r1$ulattices'(sK122,sK123,sK124)
| ~ 'r1$ulattices'(sK121,sK123,sK124)
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121)) ),
inference(equality_resolution,[status(thm)],[d127]) ).
cnf(d129,plain,
( ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| ~ 'r1$ulattices'(sK121,sK123,sK124)
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121)) ),
inference(resolution,[status(thm)],[d128,d105]) ).
cnf(d130,plain,
( ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u1$ulattices'(sK121))
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121)) ),
inference(resolution,[status(thm)],[d129,d93]) ).
cnf(d131,plain,
( ~ 'l1$ulattices'(sK121)
| ~ 'v1$ufunct$u1'('u2$ulattices'(sK121)) ),
inference(resolution,[status(thm)],[d130,c25]) ).
cnf(d132,plain,
~ 'v1$ufunct$u1'('u2$ulattices'(sK121)),
inference(resolution,[status(thm)],[d5,d131]) ).
cnf(d133,plain,
~ 'l2$ulattices'(sK121),
inference(resolution,[status(thm)],[d132,c28]) ).
cnf(d134,plain,
$false,
inference(resolution,[status(thm)],[d8,d133]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT295+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
% 0.09/10.38 % Computer : n019.cluster.edu
% 0.09/10.38 % Model : x86_64 x86_64
% 0.09/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.38 % Memory : 8046.5625MB
% 0.09/10.38 % OS : Linux 6.8.0-71-generic
% 0.09/10.38 % CPULimit : 300
% 0.09/10.38 % WCLimit : 300
% 0.09/10.38 % DateTime : Fri Sep 25 20:33:45 UTC 2026
% 0.09/10.38 % CPUTime :
% 0.09/10.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 47.87/16.69 % SZS status Theorem for theBenchmark.p
% 47.87/16.69 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------