%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LAT289+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.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 07:48:08 AM UTC 2026
% Result : Theorem 35.06s 5.31s
% Output : CNFRefutation 35.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 9
% Syntax : Number of formulae : 77 ( 14 unt; 0 def)
% Number of atoms : 336 ( 4 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 481 ( 222 ~; 206 |; 36 &)
% ( 3 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-4 aty)
% Number of variables : 56 ( 2 sgn 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(redefinition_m2_relset_1,axiom,
! [X0,X1,X2] :
( 'm2$urelset$u1'(X2,X0,X1)
<=> 'm1$urelset$u1'(X2,X0,X1) ) ).
fof(t5_subset,axiom,
! [X0,X1,X2] :
~ ( 'v1$uxboole$u0'(X2)
& 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'(X2))
& 'r2$uhidden'(X0,X1) ) ).
fof(redefinition_k8_funct_2,axiom,
! [X0,X1,X2,X3] :
( ( 'm1$usubset$u1'(X3,X0)
& 'm1$urelset$u1'(X2,X0,X1)
& 'v1$ufunct$u2'(X2,X0,X1)
& 'v1$ufunct$u1'(X2)
& ~ 'v1$uxboole$u0'(X0) )
=> 'k8$ufunct$u2'(X0,X1,X2,X3) = 'k1$ufunct$u1'(X2,X3) ) ).
fof(redefinition_k9_lopclset,axiom,
! [X0] :
( ( 'l3$ulattices'(X0)
& ~ 'v3$urealset2'(X0)
& 'v17$ulattices'(X0)
& 'v10$ulattices'(X0)
& ~ 'v3$ustruct$u0'(X0) )
=> 'k9$ulopclset'(X0) = 'k8$ulopclset'(X0) ) ).
fof(dt_k9_lopclset,axiom,
! [X0] :
( ( 'l3$ulattices'(X0)
& ~ 'v3$urealset2'(X0)
& 'v17$ulattices'(X0)
& 'v10$ulattices'(X0)
& ~ 'v3$ustruct$u0'(X0) )
=> ( 'm2$urelset$u1'('k9$ulopclset'(X0),'u1$ustruct$u0'(X0),'k1$uzfmisc$u1'('k7$ulopclset'(X0)))
& 'v1$ufunct$u2'('k9$ulopclset'(X0),'u1$ustruct$u0'(X0),'k1$uzfmisc$u1'('k7$ulopclset'(X0)))
& 'v1$ufunct$u1'('k9$ulopclset'(X0)) ) ) ).
fof(dt_m1_filter_0,axiom,
! [X0] :
( ( 'l3$ulattices'(X0)
& 'v10$ulattices'(X0)
& ~ 'v3$ustruct$u0'(X0) )
=> ! [X1] :
( 'm1$ufilter$u0'(X1,X0)
=> ( 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'('u1$ustruct$u0'(X0)))
& ~ 'v1$uxboole$u0'(X1) ) ) ) ).
fof(t3_subset,axiom,
! [X0,X1] :
( 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'(X1))
<=> 'r1$utarski'(X0,X1) ) ).
fof(t21_lopclset,axiom,
! [X0] :
( ( 'l3$ulattices'(X0)
& ~ 'v3$urealset2'(X0)
& 'v17$ulattices'(X0)
& 'v10$ulattices'(X0)
& ~ 'v3$ustruct$u0'(X0) )
=> ! [X1] :
( 'm1$usubset$u1'(X1,'u1$ustruct$u0'(X0))
=> ! [X2] :
( 'm1$ufilter$u0'(X2,X0)
=> ( 'r2$uhidden'(X2,'k1$ufunct$u1'('k8$ulopclset'(X0),X1))
<=> ( 'r2$uhidden'(X1,X2)
& 'v1$ufilter$u0'(X2,X0) ) ) ) ) ) ).
fof(t27_lopclset,conjecture,
! [X0] :
( ( 'l3$ulattices'(X0)
& ~ 'v3$urealset2'(X0)
& 'v17$ulattices'(X0)
& 'v10$ulattices'(X0)
& ~ 'v3$ustruct$u0'(X0) )
=> ! [X1] :
( 'm1$usubset$u1'(X1,'u1$ustruct$u0'(X0))
=> ! [X2] :
( 'm1$ufilter$u0'(X2,X0)
=> ~ ( 'r2$uhidden'(X1,X2)
& ~ 'r2$uhidden'(X2,'k8$ufunct$u2'('u1$ustruct$u0'(X0),'k1$uzfmisc$u1'('k7$ulopclset'(X0)),'k9$ulopclset'(X0),X1))
& 'v1$ufilter$u0'(X2,X0) ) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( ( 'l3$ulattices'(X0)
& ~ 'v3$urealset2'(X0)
& 'v17$ulattices'(X0)
& 'v10$ulattices'(X0)
& ~ 'v3$ustruct$u0'(X0) )
=> ! [X1] :
( 'm1$usubset$u1'(X1,'u1$ustruct$u0'(X0))
=> ! [X2] :
( 'm1$ufilter$u0'(X2,X0)
=> ~ ( 'r2$uhidden'(X1,X2)
& ~ 'r2$uhidden'(X2,'k8$ufunct$u2'('u1$ustruct$u0'(X0),'k1$uzfmisc$u1'('k7$ulopclset'(X0)),'k9$ulopclset'(X0),X1))
& 'v1$ufilter$u0'(X2,X0) ) ) ) ),
inference(negate_conjecture,[status(cth)],[t27_lopclset]) ).
cnf(c84,plain,
( 'm1$urelset$u1'(X0,X1,X2)
| ~ 'm2$urelset$u1'(X0,X1,X2) ),
inference(clausification,[status(esa)],[redefinition_m2_relset_1]) ).
cnf(c138,plain,
( ~ 'v1$uxboole$u0'(X2)
| ~ 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'(X2))
| ~ 'r2$uhidden'(X0,X1) ),
inference(clausification,[status(esa)],[t5_subset]) ).
cnf(c153,plain,
( 'k8$ufunct$u2'(X0,X2,X1,X3) = 'k1$ufunct$u1'(X1,X3)
| ~ 'm1$urelset$u1'(X1,X0,X2)
| ~ 'v1$ufunct$u1'(X1)
| ~ 'm1$usubset$u1'(X3,X0)
| ~ 'v1$ufunct$u2'(X1,X0,X2)
| 'v1$uxboole$u0'(X0) ),
inference(clausification,[status(esa)],[redefinition_k8_funct_2]) ).
cnf(c154,plain,
( 'k9$ulopclset'(X0) = 'k8$ulopclset'(X0)
| ~ 'v17$ulattices'(X0)
| ~ 'v10$ulattices'(X0)
| 'v3$ustruct$u0'(X0)
| 'v3$urealset2'(X0)
| ~ 'l3$ulattices'(X0) ),
inference(clausification,[status(esa)],[redefinition_k9_lopclset]) ).
cnf(c159,plain,
( 'v1$ufunct$u1'('k9$ulopclset'(X0))
| 'v3$ustruct$u0'(X0)
| ~ 'v10$ulattices'(X0)
| 'v3$urealset2'(X0)
| ~ 'v17$ulattices'(X0)
| ~ 'l3$ulattices'(X0) ),
inference(clausification,[status(esa)],[dt_k9_lopclset]) ).
cnf(c160,plain,
( 'v3$ustruct$u0'(X0)
| ~ 'v10$ulattices'(X0)
| 'v3$urealset2'(X0)
| ~ 'v17$ulattices'(X0)
| 'v1$ufunct$u2'('k9$ulopclset'(X0),'u1$ustruct$u0'(X0),'k1$uzfmisc$u1'('k7$ulopclset'(X0)))
| ~ 'l3$ulattices'(X0) ),
inference(clausification,[status(esa)],[dt_k9_lopclset]) ).
cnf(c161,plain,
( 'v3$ustruct$u0'(X0)
| ~ 'v10$ulattices'(X0)
| 'v3$urealset2'(X0)
| 'm2$urelset$u1'('k9$ulopclset'(X0),'u1$ustruct$u0'(X0),'k1$uzfmisc$u1'('k7$ulopclset'(X0)))
| ~ 'v17$ulattices'(X0)
| ~ 'l3$ulattices'(X0) ),
inference(clausification,[status(esa)],[dt_k9_lopclset]) ).
cnf(c165,plain,
( 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'('u1$ustruct$u0'(X1)))
| ~ 'l3$ulattices'(X1)
| 'v3$ustruct$u0'(X1)
| ~ 'v10$ulattices'(X1)
| ~ 'm1$ufilter$u0'(X0,X1) ),
inference(clausification,[status(esa)],[dt_m1_filter_0]) ).
cnf(c187,plain,
( 'r1$utarski'(X0,X1)
| ~ 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'(X1)) ),
inference(clausification,[status(esa)],[t3_subset]) ).
cnf(c188,plain,
( ~ 'r1$utarski'(X0,X1)
| 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'(X1)) ),
inference(clausification,[status(esa)],[t3_subset]) ).
cnf(c194,plain,
( ~ 'v1$ufilter$u0'(X1,X0)
| 'v3$urealset2'(X0)
| ~ 'r2$uhidden'(X2,X1)
| 'r2$uhidden'(X1,'k1$ufunct$u1'('k8$ulopclset'(X0),X2))
| ~ 'v10$ulattices'(X0)
| ~ 'l3$ulattices'(X0)
| ~ 'm1$usubset$u1'(X2,'u1$ustruct$u0'(X0))
| 'v3$ustruct$u0'(X0)
| ~ 'm1$ufilter$u0'(X1,X0)
| ~ 'v17$ulattices'(X0) ),
inference(clausification,[status(esa)],[t21_lopclset]) ).
cnf(c195,plain,
~ 'v3$ustruct$u0'(sK145),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c196,plain,
'v10$ulattices'(sK145),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c197,plain,
'v17$ulattices'(sK145),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c198,plain,
~ 'v3$urealset2'(sK145),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c199,plain,
'l3$ulattices'(sK145),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c200,plain,
'm1$usubset$u1'(sK146,'u1$ustruct$u0'(sK145)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c201,plain,
'm1$ufilter$u0'(sK147,sK145),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c202,plain,
'v1$ufilter$u0'(sK147,sK145),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c203,plain,
~ 'r2$uhidden'(sK147,'k8$ufunct$u2'('u1$ustruct$u0'(sK145),'k1$uzfmisc$u1'('k7$ulopclset'(sK145)),'k9$ulopclset'(sK145),sK146)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c204,plain,
'r2$uhidden'(sK146,sK147),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( 'v1$uxboole$u0'('u1$ustruct$u0'(sK145))
| ~ 'v1$ufunct$u2'('k9$ulopclset'(sK145),'u1$ustruct$u0'(sK145),'k1$uzfmisc$u1'('k7$ulopclset'(sK145)))
| ~ 'm1$urelset$u1'('k9$ulopclset'(sK145),'u1$ustruct$u0'(sK145),'k1$uzfmisc$u1'('k7$ulopclset'(sK145)))
| ~ 'v1$ufunct$u1'('k9$ulopclset'(sK145))
| ~ 'm1$usubset$u1'(sK146,'u1$ustruct$u0'(sK145))
| ~ 'r2$uhidden'(sK147,'k1$ufunct$u1'('k9$ulopclset'(sK145),sK146)) ),
inference(superposition,[status(thm)],[c153,c203]) ).
cnf(d1,plain,
( ~ 'r2$uhidden'(sK147,'k1$ufunct$u1'('k9$ulopclset'(sK145),sK146))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK145))
| ~ 'v1$ufunct$u2'('k9$ulopclset'(sK145),'u1$ustruct$u0'(sK145),'k1$uzfmisc$u1'('k7$ulopclset'(sK145)))
| ~ 'm1$urelset$u1'('k9$ulopclset'(sK145),'u1$ustruct$u0'(sK145),'k1$uzfmisc$u1'('k7$ulopclset'(sK145)))
| ~ 'v1$ufunct$u1'('k9$ulopclset'(sK145)) ),
inference(resolution,[status(thm)],[c200,d0]) ).
cnf(d2,plain,
( ~ 'r2$uhidden'(sK147,'k1$ufunct$u1'('k9$ulopclset'(sK145),sK146))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK145))
| ~ 'm1$urelset$u1'('k9$ulopclset'(sK145),'u1$ustruct$u0'(sK145),'k1$uzfmisc$u1'('k7$ulopclset'(sK145)))
| ~ 'v1$ufunct$u1'('k9$ulopclset'(sK145))
| 'v3$urealset2'(sK145)
| ~ 'v17$ulattices'(sK145)
| ~ 'v10$ulattices'(sK145)
| 'v3$ustruct$u0'(sK145)
| ~ 'l3$ulattices'(sK145) ),
inference(resolution,[status(thm)],[c160,d1]) ).
cnf(d3,plain,
( ~ 'r2$uhidden'(sK147,'k1$ufunct$u1'('k9$ulopclset'(sK145),sK146))
| 'v3$urealset2'(sK145)
| ~ 'v17$ulattices'(sK145)
| ~ 'v10$ulattices'(sK145)
| ~ 'l3$ulattices'(sK145)
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK145))
| ~ 'm1$urelset$u1'('k9$ulopclset'(sK145),'u1$ustruct$u0'(sK145),'k1$uzfmisc$u1'('k7$ulopclset'(sK145)))
| ~ 'v1$ufunct$u1'('k9$ulopclset'(sK145)) ),
inference(resolution,[status(thm)],[c195,d2]) ).
cnf(d4,plain,
( ~ 'r2$uhidden'(sK147,'k1$ufunct$u1'('k9$ulopclset'(sK145),sK146))
| 'v3$urealset2'(sK145)
| ~ 'v17$ulattices'(sK145)
| ~ 'l3$ulattices'(sK145)
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK145))
| ~ 'm1$urelset$u1'('k9$ulopclset'(sK145),'u1$ustruct$u0'(sK145),'k1$uzfmisc$u1'('k7$ulopclset'(sK145)))
| ~ 'v1$ufunct$u1'('k9$ulopclset'(sK145)) ),
inference(resolution,[status(thm)],[c196,d3]) ).
cnf(d5,plain,
( ~ 'r2$uhidden'(sK147,'k1$ufunct$u1'('k9$ulopclset'(sK145),sK146))
| 'v3$urealset2'(sK145)
| ~ 'l3$ulattices'(sK145)
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK145))
| ~ 'm1$urelset$u1'('k9$ulopclset'(sK145),'u1$ustruct$u0'(sK145),'k1$uzfmisc$u1'('k7$ulopclset'(sK145)))
| ~ 'v1$ufunct$u1'('k9$ulopclset'(sK145)) ),
inference(resolution,[status(thm)],[c197,d4]) ).
cnf(d6,plain,
( ~ 'r2$uhidden'(sK147,'k1$ufunct$u1'('k9$ulopclset'(sK145),sK146))
| ~ 'l3$ulattices'(sK145)
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK145))
| ~ 'm1$urelset$u1'('k9$ulopclset'(sK145),'u1$ustruct$u0'(sK145),'k1$uzfmisc$u1'('k7$ulopclset'(sK145)))
| ~ 'v1$ufunct$u1'('k9$ulopclset'(sK145)) ),
inference(resolution,[status(thm)],[c198,d5]) ).
cnf(d7,plain,
( ~ 'r2$uhidden'(sK147,'k1$ufunct$u1'('k9$ulopclset'(sK145),sK146))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK145))
| ~ 'm1$urelset$u1'('k9$ulopclset'(sK145),'u1$ustruct$u0'(sK145),'k1$uzfmisc$u1'('k7$ulopclset'(sK145)))
| ~ 'v1$ufunct$u1'('k9$ulopclset'(sK145)) ),
inference(resolution,[status(thm)],[c199,d6]) ).
cnf(d8,plain,
( ~ 'r1$utarski'(X2,X0)
| ~ 'r2$uhidden'(X1,X2)
| ~ 'v1$uxboole$u0'(X0) ),
inference(resolution,[status(thm)],[c138,c188]) ).
cnf(d9,plain,
( ~ 'r1$utarski'(sK147,X0)
| ~ 'v1$uxboole$u0'(X0) ),
inference(resolution,[status(thm)],[d8,c204]) ).
cnf(d10,plain,
( 'r1$utarski'(X1,'u1$ustruct$u0'(X0))
| ~ 'm1$ufilter$u0'(X1,X0)
| ~ 'v10$ulattices'(X0)
| 'v3$ustruct$u0'(X0)
| ~ 'l3$ulattices'(X0) ),
inference(resolution,[status(thm)],[c165,c187]) ).
cnf(d11,plain,
( ~ 'v1$uxboole$u0'('u1$ustruct$u0'(X0))
| ~ 'm1$ufilter$u0'(sK147,X0)
| ~ 'v10$ulattices'(X0)
| 'v3$ustruct$u0'(X0)
| ~ 'l3$ulattices'(X0) ),
inference(resolution,[status(thm)],[d10,d9]) ).
cnf(d12,plain,
( ~ 'v10$ulattices'(sK145)
| 'v3$ustruct$u0'(sK145)
| ~ 'l3$ulattices'(sK145)
| ~ 'v1$uxboole$u0'('u1$ustruct$u0'(sK145)) ),
inference(resolution,[status(thm)],[d11,c201]) ).
cnf(d13,plain,
( ~ 'v10$ulattices'(sK145)
| ~ 'l3$ulattices'(sK145)
| ~ 'v1$uxboole$u0'('u1$ustruct$u0'(sK145)) ),
inference(resolution,[status(thm)],[c195,d12]) ).
cnf(d14,plain,
( ~ 'l3$ulattices'(sK145)
| ~ 'v1$uxboole$u0'('u1$ustruct$u0'(sK145)) ),
inference(resolution,[status(thm)],[c196,d13]) ).
cnf(d15,plain,
~ 'v1$uxboole$u0'('u1$ustruct$u0'(sK145)),
inference(resolution,[status(thm)],[c199,d14]) ).
cnf(d16,plain,
( ~ 'r2$uhidden'(sK147,'k1$ufunct$u1'('k9$ulopclset'(sK145),sK146))
| ~ 'm1$urelset$u1'('k9$ulopclset'(sK145),'u1$ustruct$u0'(sK145),'k1$uzfmisc$u1'('k7$ulopclset'(sK145)))
| ~ 'v1$ufunct$u1'('k9$ulopclset'(sK145)) ),
inference(resolution,[status(thm)],[d15,d7]) ).
cnf(d17,plain,
( 'm1$urelset$u1'('k9$ulopclset'(X0),'u1$ustruct$u0'(X0),'k1$uzfmisc$u1'('k7$ulopclset'(X0)))
| 'v3$urealset2'(X0)
| ~ 'v17$ulattices'(X0)
| ~ 'v10$ulattices'(X0)
| 'v3$ustruct$u0'(X0)
| ~ 'l3$ulattices'(X0) ),
inference(resolution,[status(thm)],[c161,c84]) ).
cnf(d18,plain,
( ~ 'r2$uhidden'(sK147,'k1$ufunct$u1'('k9$ulopclset'(sK145),sK146))
| ~ 'v1$ufunct$u1'('k9$ulopclset'(sK145))
| 'v3$urealset2'(sK145)
| ~ 'v17$ulattices'(sK145)
| ~ 'v10$ulattices'(sK145)
| 'v3$ustruct$u0'(sK145)
| ~ 'l3$ulattices'(sK145) ),
inference(resolution,[status(thm)],[d17,d16]) ).
cnf(d19,plain,
( ~ 'r2$uhidden'(sK147,'k1$ufunct$u1'('k9$ulopclset'(sK145),sK146))
| 'v3$urealset2'(sK145)
| ~ 'v17$ulattices'(sK145)
| ~ 'v10$ulattices'(sK145)
| ~ 'l3$ulattices'(sK145)
| ~ 'v1$ufunct$u1'('k9$ulopclset'(sK145)) ),
inference(resolution,[status(thm)],[c195,d18]) ).
cnf(d20,plain,
( ~ 'r2$uhidden'(sK147,'k1$ufunct$u1'('k9$ulopclset'(sK145),sK146))
| 'v3$urealset2'(sK145)
| ~ 'v17$ulattices'(sK145)
| ~ 'l3$ulattices'(sK145)
| ~ 'v1$ufunct$u1'('k9$ulopclset'(sK145)) ),
inference(resolution,[status(thm)],[c196,d19]) ).
cnf(d21,plain,
( ~ 'r2$uhidden'(sK147,'k1$ufunct$u1'('k9$ulopclset'(sK145),sK146))
| 'v3$urealset2'(sK145)
| ~ 'l3$ulattices'(sK145)
| ~ 'v1$ufunct$u1'('k9$ulopclset'(sK145)) ),
inference(resolution,[status(thm)],[c197,d20]) ).
cnf(d22,plain,
( ~ 'r2$uhidden'(sK147,'k1$ufunct$u1'('k9$ulopclset'(sK145),sK146))
| ~ 'l3$ulattices'(sK145)
| ~ 'v1$ufunct$u1'('k9$ulopclset'(sK145)) ),
inference(resolution,[status(thm)],[c198,d21]) ).
cnf(d23,plain,
( ~ 'r2$uhidden'(sK147,'k1$ufunct$u1'('k9$ulopclset'(sK145),sK146))
| ~ 'v1$ufunct$u1'('k9$ulopclset'(sK145)) ),
inference(resolution,[status(thm)],[c199,d22]) ).
cnf(d24,plain,
( 'v3$urealset2'(sK145)
| ~ 'v17$ulattices'(sK145)
| ~ 'v10$ulattices'(sK145)
| 'v3$ustruct$u0'(sK145)
| ~ 'l3$ulattices'(sK145)
| ~ 'v1$ufunct$u1'('k9$ulopclset'(sK145))
| ~ 'r2$uhidden'(sK147,'k1$ufunct$u1'('k8$ulopclset'(sK145),sK146)) ),
inference(superposition,[status(thm)],[c154,d23]) ).
cnf(d25,plain,
( ~ 'r2$uhidden'(sK147,'k1$ufunct$u1'('k8$ulopclset'(sK145),sK146))
| 'v3$urealset2'(sK145)
| ~ 'v17$ulattices'(sK145)
| ~ 'v10$ulattices'(sK145)
| ~ 'l3$ulattices'(sK145)
| ~ 'v1$ufunct$u1'('k9$ulopclset'(sK145)) ),
inference(resolution,[status(thm)],[c195,d24]) ).
cnf(d26,plain,
( ~ 'r2$uhidden'(sK147,'k1$ufunct$u1'('k8$ulopclset'(sK145),sK146))
| 'v3$urealset2'(sK145)
| ~ 'v17$ulattices'(sK145)
| ~ 'l3$ulattices'(sK145)
| ~ 'v1$ufunct$u1'('k9$ulopclset'(sK145)) ),
inference(resolution,[status(thm)],[c196,d25]) ).
cnf(d27,plain,
( ~ 'r2$uhidden'(sK147,'k1$ufunct$u1'('k8$ulopclset'(sK145),sK146))
| 'v3$urealset2'(sK145)
| ~ 'l3$ulattices'(sK145)
| ~ 'v1$ufunct$u1'('k9$ulopclset'(sK145)) ),
inference(resolution,[status(thm)],[c197,d26]) ).
cnf(d28,plain,
( ~ 'r2$uhidden'(sK147,'k1$ufunct$u1'('k8$ulopclset'(sK145),sK146))
| ~ 'l3$ulattices'(sK145)
| ~ 'v1$ufunct$u1'('k9$ulopclset'(sK145)) ),
inference(resolution,[status(thm)],[c198,d27]) ).
cnf(d29,plain,
( ~ 'r2$uhidden'(sK147,'k1$ufunct$u1'('k8$ulopclset'(sK145),sK146))
| ~ 'v1$ufunct$u1'('k9$ulopclset'(sK145)) ),
inference(resolution,[status(thm)],[c199,d28]) ).
cnf(d30,plain,
( ~ 'v1$ufilter$u0'(sK147,sK145)
| ~ 'm1$ufilter$u0'(sK147,sK145)
| ~ 'r2$uhidden'(sK146,sK147)
| 'v3$urealset2'(sK145)
| ~ 'v17$ulattices'(sK145)
| ~ 'v10$ulattices'(sK145)
| 'v3$ustruct$u0'(sK145)
| ~ 'l3$ulattices'(sK145)
| ~ 'm1$usubset$u1'(sK146,'u1$ustruct$u0'(sK145))
| ~ 'v1$ufunct$u1'('k9$ulopclset'(sK145)) ),
inference(resolution,[status(thm)],[d29,c194]) ).
cnf(d31,plain,
( ~ 'v1$ufilter$u0'(sK147,sK145)
| ~ 'm1$ufilter$u0'(sK147,sK145)
| ~ 'r2$uhidden'(sK146,sK147)
| 'v3$urealset2'(sK145)
| ~ 'v17$ulattices'(sK145)
| ~ 'v10$ulattices'(sK145)
| ~ 'l3$ulattices'(sK145)
| ~ 'v1$ufunct$u1'('k9$ulopclset'(sK145))
| ~ 'm1$usubset$u1'(sK146,'u1$ustruct$u0'(sK145)) ),
inference(resolution,[status(thm)],[c195,d30]) ).
cnf(d32,plain,
( ~ 'v1$ufilter$u0'(sK147,sK145)
| ~ 'm1$ufilter$u0'(sK147,sK145)
| ~ 'r2$uhidden'(sK146,sK147)
| 'v3$urealset2'(sK145)
| ~ 'v17$ulattices'(sK145)
| ~ 'l3$ulattices'(sK145)
| ~ 'v1$ufunct$u1'('k9$ulopclset'(sK145))
| ~ 'm1$usubset$u1'(sK146,'u1$ustruct$u0'(sK145)) ),
inference(resolution,[status(thm)],[c196,d31]) ).
cnf(d33,plain,
( ~ 'v1$ufilter$u0'(sK147,sK145)
| ~ 'm1$ufilter$u0'(sK147,sK145)
| ~ 'r2$uhidden'(sK146,sK147)
| 'v3$urealset2'(sK145)
| ~ 'l3$ulattices'(sK145)
| ~ 'v1$ufunct$u1'('k9$ulopclset'(sK145))
| ~ 'm1$usubset$u1'(sK146,'u1$ustruct$u0'(sK145)) ),
inference(resolution,[status(thm)],[c197,d32]) ).
cnf(d34,plain,
( ~ 'v1$ufilter$u0'(sK147,sK145)
| ~ 'm1$ufilter$u0'(sK147,sK145)
| ~ 'r2$uhidden'(sK146,sK147)
| ~ 'l3$ulattices'(sK145)
| ~ 'v1$ufunct$u1'('k9$ulopclset'(sK145))
| ~ 'm1$usubset$u1'(sK146,'u1$ustruct$u0'(sK145)) ),
inference(resolution,[status(thm)],[c198,d33]) ).
cnf(d35,plain,
( ~ 'v1$ufilter$u0'(sK147,sK145)
| ~ 'm1$ufilter$u0'(sK147,sK145)
| ~ 'r2$uhidden'(sK146,sK147)
| ~ 'v1$ufunct$u1'('k9$ulopclset'(sK145))
| ~ 'm1$usubset$u1'(sK146,'u1$ustruct$u0'(sK145)) ),
inference(resolution,[status(thm)],[c199,d34]) ).
cnf(d36,plain,
( ~ 'v1$ufilter$u0'(sK147,sK145)
| ~ 'r2$uhidden'(sK146,sK147)
| ~ 'v1$ufunct$u1'('k9$ulopclset'(sK145))
| ~ 'm1$usubset$u1'(sK146,'u1$ustruct$u0'(sK145)) ),
inference(resolution,[status(thm)],[c201,d35]) ).
cnf(d37,plain,
( ~ 'r2$uhidden'(sK146,sK147)
| ~ 'v1$ufunct$u1'('k9$ulopclset'(sK145))
| ~ 'm1$usubset$u1'(sK146,'u1$ustruct$u0'(sK145)) ),
inference(resolution,[status(thm)],[c202,d36]) ).
cnf(d38,plain,
( ~ 'v1$ufunct$u1'('k9$ulopclset'(sK145))
| ~ 'm1$usubset$u1'(sK146,'u1$ustruct$u0'(sK145)) ),
inference(resolution,[status(thm)],[c204,d37]) ).
cnf(d39,plain,
~ 'v1$ufunct$u1'('k9$ulopclset'(sK145)),
inference(resolution,[status(thm)],[c200,d38]) ).
cnf(d40,plain,
( 'v3$urealset2'(sK145)
| ~ 'v17$ulattices'(sK145)
| ~ 'v10$ulattices'(sK145)
| 'v3$ustruct$u0'(sK145)
| ~ 'l3$ulattices'(sK145) ),
inference(resolution,[status(thm)],[d39,c159]) ).
cnf(d41,plain,
( 'v3$urealset2'(sK145)
| ~ 'v17$ulattices'(sK145)
| ~ 'v10$ulattices'(sK145)
| ~ 'l3$ulattices'(sK145) ),
inference(resolution,[status(thm)],[c195,d40]) ).
cnf(d42,plain,
( 'v3$urealset2'(sK145)
| ~ 'v17$ulattices'(sK145)
| ~ 'l3$ulattices'(sK145) ),
inference(resolution,[status(thm)],[c196,d41]) ).
cnf(d43,plain,
( 'v3$urealset2'(sK145)
| ~ 'l3$ulattices'(sK145) ),
inference(resolution,[status(thm)],[c197,d42]) ).
cnf(d44,plain,
~ 'l3$ulattices'(sK145),
inference(resolution,[status(thm)],[c198,d43]) ).
cnf(d45,plain,
$false,
inference(resolution,[status(thm)],[c199,d44]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT289+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n013.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Fri Sep 25 20:28:22 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 35.06/5.31 % SZS status Theorem for theBenchmark.p
% 35.06/5.31 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------