%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV926-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n010.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 09:04:56 AM UTC 2026
% Result : Unsatisfiable 59.09s 9.96s
% Output : CNFRefutation 59.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 15
% Syntax : Number of clauses : 60 ( 32 unt; 0 nHn; 43 RR)
% Number of literals : 107 ( 16 equ; 66 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-3 aty)
% Number of variables : 78 ( 15 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_subset__trans_0,axiom,
( ~ 'c$ulessequals'(X0,X3,'tc$ufun'(X2,'tc$ubool'))
| ~ 'c$ulessequals'(X3,X1,'tc$ufun'(X2,'tc$ubool'))
| 'c$ulessequals'(X0,X1,'tc$ufun'(X2,'tc$ubool')) ) ).
cnf(cls_Un__subset__iff_1,axiom,
( ~ 'c$ulessequals'('c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X3,X0,'tc$ufun'(X2,'tc$ubool')),X1,'tc$ufun'(X2,'tc$ubool'))
| 'c$ulessequals'(X0,X1,'tc$ufun'(X2,'tc$ubool')) ) ).
cnf(cls_le__supI2_0,axiom,
( ~ 'c$ulessequals'(X1,X3,X0)
| 'c$ulessequals'(X1,'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X2,X3,X0),X0)
| ~ 'class$uLattices$uOupper$u$usemilattice'(X0) ) ).
cnf(cls_Un__absorb2_0,axiom,
( ~ 'c$ulessequals'(X1,X0,'tc$ufun'(X2,'tc$ubool'))
| 'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X0,X1,'tc$ufun'(X2,'tc$ubool')) = X0 ) ).
cnf(cls_Un__left__commute_0,axiom,
'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X0,'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X1,X2,'tc$ufun'(X3,'tc$ubool')),'tc$ufun'(X3,'tc$ubool')) = 'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X1,'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X0,X2,'tc$ufun'(X3,'tc$ubool')),'tc$ufun'(X3,'tc$ubool')) ).
cnf(cls_Un__assoc_0,axiom,
'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X0,X1,'tc$ufun'(X2,'tc$ubool')),X3,'tc$ufun'(X2,'tc$ubool')) = 'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X0,'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X1,X3,'tc$ufun'(X2,'tc$ubool')),'tc$ufun'(X2,'tc$ubool')) ).
cnf(cls_Un__upper2_0,axiom,
'c$ulessequals'(X0,'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X1,X0,'tc$ufun'(X2,'tc$ubool')),'tc$ufun'(X2,'tc$ubool')) ).
cnf(cls_Un__upper1_0,axiom,
'c$ulessequals'(X0,'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X0,X1,'tc$ufun'(X2,'tc$ubool')),'tc$ufun'(X2,'tc$ubool')) ).
cnf(cls_Un__commute_0,axiom,
'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X0,X1,'tc$ufun'(X2,'tc$ubool')) = 'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X1,X0,'tc$ufun'(X2,'tc$ubool')) ).
cnf(cls_conjecture_0,negated_conjecture,
'c$ulessequals'('v$uad','v$uab','tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')) ).
cnf(cls_conjecture_3,negated_conjecture,
'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uMap$uOdom'('v$uba','tc$uList$uOlist'('tc$uString$uOchar'),'tc$uValue$uOval'),'v$uac','tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')) = 'v$uab' ).
cnf(cls_conjecture_5,negated_conjecture,
'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uMap$uOdom'('v$ub','tc$uList$uOlist'('tc$uString$uOchar'),'tc$uValue$uOval'),'v$uae','tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')) = 'v$uad' ).
cnf(cls_conjecture_7,negated_conjecture,
( ~ 'c$ulessequals'('c$uMap$uOdom'('v$ub','tc$uList$uOlist'('tc$uString$uOchar'),'tc$uValue$uOval'),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uMap$uOdom'('v$uba','tc$uList$uOlist'('tc$uString$uOchar'),'tc$uValue$uOval'),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('v$uac','v$ux','tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool'))
| ~ 'c$ulessequals'('v$uae','c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uMap$uOdom'('v$uba','tc$uList$uOlist'('tc$uString$uOchar'),'tc$uValue$uOval'),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('v$uac','v$ux','tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool'))
| ~ 'c$ulessequals'('v$ux','c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uMap$uOdom'('v$uba','tc$uList$uOlist'('tc$uString$uOchar'),'tc$uValue$uOval'),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('v$uac','v$ux','tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')) ) ).
cnf(clsarity_fun__Lattices_Oupper__semilattice,axiom,
( ~ 'class$uLattices$uOlattice'(X1)
| 'class$uLattices$uOupper$u$usemilattice'('tc$ufun'(X0,X1)) ) ).
cnf(clsarity_bool__Lattices_Olattice,axiom,
'class$uLattices$uOlattice'('tc$ubool') ).
cnf(c398,plain,
( ~ 'c$ulessequals'(X0,X3,'tc$ufun'(X2,'tc$ubool'))
| ~ 'c$ulessequals'(X3,X1,'tc$ufun'(X2,'tc$ubool'))
| 'c$ulessequals'(X0,X1,'tc$ufun'(X2,'tc$ubool')) ),
inference(clausification,[status(esa)],[cls_subset__trans_0]) ).
cnf(c407,plain,
( ~ 'c$ulessequals'('c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X3,X0,'tc$ufun'(X2,'tc$ubool')),X1,'tc$ufun'(X2,'tc$ubool'))
| 'c$ulessequals'(X0,X1,'tc$ufun'(X2,'tc$ubool')) ),
inference(clausification,[status(esa)],[cls_Un__subset__iff_1]) ).
cnf(c412,plain,
( ~ 'c$ulessequals'(X1,X3,X0)
| 'c$ulessequals'(X1,'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X2,X3,X0),X0)
| ~ 'class$uLattices$uOupper$u$usemilattice'(X0) ),
inference(clausification,[status(esa)],[cls_le__supI2_0]) ).
cnf(c419,plain,
( ~ 'c$ulessequals'(X1,X0,'tc$ufun'(X2,'tc$ubool'))
| 'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X0,X1,'tc$ufun'(X2,'tc$ubool')) = X0 ),
inference(clausification,[status(esa)],[cls_Un__absorb2_0]) ).
cnf(c441,plain,
'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X0,'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X1,X2,'tc$ufun'(X3,'tc$ubool')),'tc$ufun'(X3,'tc$ubool')) = 'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X1,'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X0,X2,'tc$ufun'(X3,'tc$ubool')),'tc$ufun'(X3,'tc$ubool')),
inference(clausification,[status(esa)],[cls_Un__left__commute_0]) ).
cnf(c442,plain,
'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X0,X1,'tc$ufun'(X2,'tc$ubool')),X3,'tc$ufun'(X2,'tc$ubool')) = 'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X0,'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X1,X3,'tc$ufun'(X2,'tc$ubool')),'tc$ufun'(X2,'tc$ubool')),
inference(clausification,[status(esa)],[cls_Un__assoc_0]) ).
cnf(c448,plain,
'c$ulessequals'(X0,'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X1,X0,'tc$ufun'(X2,'tc$ubool')),'tc$ufun'(X2,'tc$ubool')),
inference(clausification,[status(esa)],[cls_Un__upper2_0]) ).
cnf(c449,plain,
'c$ulessequals'(X0,'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X0,X1,'tc$ufun'(X2,'tc$ubool')),'tc$ufun'(X2,'tc$ubool')),
inference(clausification,[status(esa)],[cls_Un__upper1_0]) ).
cnf(c458,plain,
'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X0,X1,'tc$ufun'(X2,'tc$ubool')) = 'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X1,X0,'tc$ufun'(X2,'tc$ubool')),
inference(clausification,[status(esa)],[cls_Un__commute_0]) ).
cnf(c465,plain,
'c$ulessequals'('v$uad','v$uab','tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c468,plain,
'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uMap$uOdom'('v$uba','tc$uList$uOlist'('tc$uString$uOchar'),'tc$uValue$uOval'),'v$uac','tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')) = 'v$uab',
inference(clausification,[status(esa)],[cls_conjecture_3]) ).
cnf(c470,plain,
'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uMap$uOdom'('v$ub','tc$uList$uOlist'('tc$uString$uOchar'),'tc$uValue$uOval'),'v$uae','tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')) = 'v$uad',
inference(clausification,[status(esa)],[cls_conjecture_5]) ).
cnf(c472,plain,
( ~ 'c$ulessequals'('c$uMap$uOdom'('v$ub','tc$uList$uOlist'('tc$uString$uOchar'),'tc$uValue$uOval'),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uMap$uOdom'('v$uba','tc$uList$uOlist'('tc$uString$uOchar'),'tc$uValue$uOval'),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('v$uac','v$ux','tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool'))
| ~ 'c$ulessequals'('v$uae','c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uMap$uOdom'('v$uba','tc$uList$uOlist'('tc$uString$uOchar'),'tc$uValue$uOval'),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('v$uac','v$ux','tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool'))
| ~ 'c$ulessequals'('v$ux','c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uMap$uOdom'('v$uba','tc$uList$uOlist'('tc$uString$uOchar'),'tc$uValue$uOval'),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('v$uac','v$ux','tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')) ),
inference(clausification,[status(esa)],[cls_conjecture_7]) ).
cnf(c473,plain,
( ~ 'class$uLattices$uOlattice'(X1)
| 'class$uLattices$uOupper$u$usemilattice'('tc$ufun'(X0,X1)) ),
inference(clausification,[status(esa)],[clsarity_fun__Lattices_Oupper__semilattice]) ).
cnf(c490,plain,
'class$uLattices$uOlattice'('tc$ubool'),
inference(clausification,[status(esa)],[clsarity_bool__Lattices_Olattice]) ).
cnf(d0,plain,
'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('v$uac','c$uMap$uOdom'('v$uba','tc$uList$uOlist'('tc$uString$uOchar'),'tc$uValue$uOval'),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')) = 'v$uab',
inference(demodulation,[status(thm)],[c468,c458]) ).
cnf(d1,plain,
( ~ 'c$ulessequals'('v$uae','c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uMap$uOdom'('v$uba','tc$uList$uOlist'('tc$uString$uOchar'),'tc$uValue$uOval'),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('v$uac','v$ux','tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool'))
| ~ 'c$ulessequals'('c$uMap$uOdom'('v$ub','tc$uList$uOlist'('tc$uString$uOchar'),'tc$uValue$uOval'),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uMap$uOdom'('v$uba','tc$uList$uOlist'('tc$uString$uOchar'),'tc$uValue$uOval'),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('v$uac','v$ux','tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool'))
| ~ 'c$ulessequals'('v$ux','c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('v$uac','c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uMap$uOdom'('v$uba','tc$uList$uOlist'('tc$uString$uOchar'),'tc$uValue$uOval'),'v$ux','tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')) ),
inference(demodulation,[status(thm)],[c472,c441]) ).
cnf(d2,plain,
( ~ 'c$ulessequals'('v$uae','c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uMap$uOdom'('v$uba','tc$uList$uOlist'('tc$uString$uOchar'),'tc$uValue$uOval'),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('v$uac','v$ux','tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool'))
| ~ 'c$ulessequals'('c$uMap$uOdom'('v$ub','tc$uList$uOlist'('tc$uString$uOchar'),'tc$uValue$uOval'),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uMap$uOdom'('v$uba','tc$uList$uOlist'('tc$uString$uOchar'),'tc$uValue$uOval'),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('v$uac','v$ux','tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool'))
| ~ 'c$ulessequals'('v$ux','c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('v$uac','c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('v$ux','c$uMap$uOdom'('v$uba','tc$uList$uOlist'('tc$uString$uOchar'),'tc$uValue$uOval'),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')) ),
inference(demodulation,[status(thm)],[d1,c458]) ).
cnf(d3,plain,
( ~ 'c$ulessequals'('v$uae','c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uMap$uOdom'('v$uba','tc$uList$uOlist'('tc$uString$uOchar'),'tc$uValue$uOval'),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('v$uac','v$ux','tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool'))
| ~ 'c$ulessequals'('c$uMap$uOdom'('v$ub','tc$uList$uOlist'('tc$uString$uOchar'),'tc$uValue$uOval'),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uMap$uOdom'('v$uba','tc$uList$uOlist'('tc$uString$uOchar'),'tc$uValue$uOval'),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('v$uac','v$ux','tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool'))
| ~ 'c$ulessequals'('v$ux','c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('v$ux','c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('v$uac','c$uMap$uOdom'('v$uba','tc$uList$uOlist'('tc$uString$uOchar'),'tc$uValue$uOval'),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')) ),
inference(demodulation,[status(thm)],[d2,c441]) ).
cnf(d4,plain,
( ~ 'c$ulessequals'('v$uae','c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uMap$uOdom'('v$uba','tc$uList$uOlist'('tc$uString$uOchar'),'tc$uValue$uOval'),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('v$uac','v$ux','tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool'))
| ~ 'c$ulessequals'('c$uMap$uOdom'('v$ub','tc$uList$uOlist'('tc$uString$uOchar'),'tc$uValue$uOval'),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uMap$uOdom'('v$uba','tc$uList$uOlist'('tc$uString$uOchar'),'tc$uValue$uOval'),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('v$uac','v$ux','tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool'))
| ~ 'c$ulessequals'('v$ux','c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('v$ux','v$uab','tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')) ),
inference(demodulation,[status(thm)],[d3,d0]) ).
cnf(d5,plain,
( ~ 'c$ulessequals'('v$uae','c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uMap$uOdom'('v$uba','tc$uList$uOlist'('tc$uString$uOchar'),'tc$uValue$uOval'),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('v$uac','v$ux','tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool'))
| ~ 'c$ulessequals'('c$uMap$uOdom'('v$ub','tc$uList$uOlist'('tc$uString$uOchar'),'tc$uValue$uOval'),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('v$uac','c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uMap$uOdom'('v$uba','tc$uList$uOlist'('tc$uString$uOchar'),'tc$uValue$uOval'),'v$ux','tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool'))
| ~ 'c$ulessequals'('v$ux','c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('v$ux','v$uab','tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')) ),
inference(demodulation,[status(thm)],[d4,c441]) ).
cnf(d6,plain,
( ~ 'c$ulessequals'('v$uae','c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uMap$uOdom'('v$uba','tc$uList$uOlist'('tc$uString$uOchar'),'tc$uValue$uOval'),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('v$uac','v$ux','tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool'))
| ~ 'c$ulessequals'('c$uMap$uOdom'('v$ub','tc$uList$uOlist'('tc$uString$uOchar'),'tc$uValue$uOval'),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('v$uac','c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('v$ux','c$uMap$uOdom'('v$uba','tc$uList$uOlist'('tc$uString$uOchar'),'tc$uValue$uOval'),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool'))
| ~ 'c$ulessequals'('v$ux','c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('v$ux','v$uab','tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')) ),
inference(demodulation,[status(thm)],[d5,c458]) ).
cnf(d7,plain,
( ~ 'c$ulessequals'('v$uae','c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uMap$uOdom'('v$uba','tc$uList$uOlist'('tc$uString$uOchar'),'tc$uValue$uOval'),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('v$uac','v$ux','tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool'))
| ~ 'c$ulessequals'('c$uMap$uOdom'('v$ub','tc$uList$uOlist'('tc$uString$uOchar'),'tc$uValue$uOval'),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('v$ux','c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('v$uac','c$uMap$uOdom'('v$uba','tc$uList$uOlist'('tc$uString$uOchar'),'tc$uValue$uOval'),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool'))
| ~ 'c$ulessequals'('v$ux','c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('v$ux','v$uab','tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')) ),
inference(demodulation,[status(thm)],[d6,c441]) ).
cnf(d8,plain,
( ~ 'c$ulessequals'('v$uae','c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uMap$uOdom'('v$uba','tc$uList$uOlist'('tc$uString$uOchar'),'tc$uValue$uOval'),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('v$uac','v$ux','tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool'))
| ~ 'c$ulessequals'('c$uMap$uOdom'('v$ub','tc$uList$uOlist'('tc$uString$uOchar'),'tc$uValue$uOval'),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('v$ux','v$uab','tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool'))
| ~ 'c$ulessequals'('v$ux','c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('v$ux','v$uab','tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')) ),
inference(demodulation,[status(thm)],[d7,d0]) ).
cnf(d9,plain,
( ~ 'c$ulessequals'('v$uae','c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('v$uac','c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uMap$uOdom'('v$uba','tc$uList$uOlist'('tc$uString$uOchar'),'tc$uValue$uOval'),'v$ux','tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool'))
| ~ 'c$ulessequals'('c$uMap$uOdom'('v$ub','tc$uList$uOlist'('tc$uString$uOchar'),'tc$uValue$uOval'),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('v$ux','v$uab','tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool'))
| ~ 'c$ulessequals'('v$ux','c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('v$ux','v$uab','tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')) ),
inference(demodulation,[status(thm)],[d8,c441]) ).
cnf(d10,plain,
( ~ 'c$ulessequals'('v$uae','c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('v$uac','c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('v$ux','c$uMap$uOdom'('v$uba','tc$uList$uOlist'('tc$uString$uOchar'),'tc$uValue$uOval'),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool'))
| ~ 'c$ulessequals'('c$uMap$uOdom'('v$ub','tc$uList$uOlist'('tc$uString$uOchar'),'tc$uValue$uOval'),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('v$ux','v$uab','tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool'))
| ~ 'c$ulessequals'('v$ux','c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('v$ux','v$uab','tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')) ),
inference(demodulation,[status(thm)],[d9,c458]) ).
cnf(d11,plain,
( ~ 'c$ulessequals'('v$uae','c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('v$ux','c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('v$uac','c$uMap$uOdom'('v$uba','tc$uList$uOlist'('tc$uString$uOchar'),'tc$uValue$uOval'),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool'))
| ~ 'c$ulessequals'('c$uMap$uOdom'('v$ub','tc$uList$uOlist'('tc$uString$uOchar'),'tc$uValue$uOval'),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('v$ux','v$uab','tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool'))
| ~ 'c$ulessequals'('v$ux','c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('v$ux','v$uab','tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')) ),
inference(demodulation,[status(thm)],[d10,c441]) ).
cnf(d12,plain,
( ~ 'c$ulessequals'('v$uae','c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('v$ux','v$uab','tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool'))
| ~ 'c$ulessequals'('c$uMap$uOdom'('v$ub','tc$uList$uOlist'('tc$uString$uOchar'),'tc$uValue$uOval'),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('v$ux','v$uab','tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool'))
| ~ 'c$ulessequals'('v$ux','c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('v$ux','v$uab','tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')) ),
inference(demodulation,[status(thm)],[d11,d0]) ).
cnf(d13,plain,
( ~ 'c$ulessequals'('v$uae','c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('v$ux','v$uab','tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool'))
| ~ 'c$ulessequals'('c$uMap$uOdom'('v$ub','tc$uList$uOlist'('tc$uString$uOchar'),'tc$uValue$uOval'),'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('v$ux','v$uab','tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')) ),
inference(resolution,[status(thm)],[c449,d12]) ).
cnf(d14,plain,
( ~ 'class$uLattices$uOupper$u$usemilattice'('tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool'))
| ~ 'c$ulessequals'('c$uMap$uOdom'('v$ub','tc$uList$uOlist'('tc$uString$uOchar'),'tc$uValue$uOval'),'v$uab','tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool'))
| ~ 'c$ulessequals'('v$uae','c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('v$ux','v$uab','tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')) ),
inference(resolution,[status(thm)],[d13,c412]) ).
cnf(d15,plain,
'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('v$uae','c$uMap$uOdom'('v$ub','tc$uList$uOlist'('tc$uString$uOchar'),'tc$uValue$uOval'),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')) = 'v$uad',
inference(demodulation,[status(thm)],[c470,c458]) ).
cnf(d16,plain,
'c$ulessequals'('c$uMap$uOdom'('v$ub','tc$uList$uOlist'('tc$uString$uOchar'),'tc$uValue$uOval'),'v$uad','tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),
inference(superposition,[status(thm)],[d15,c448]) ).
cnf(d17,plain,
( ~ 'c$ulessequals'(X0,'v$uad','tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool'))
| 'c$ulessequals'(X0,'v$uab','tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')) ),
inference(resolution,[status(thm)],[c398,c465]) ).
cnf(d18,plain,
'c$ulessequals'('c$uMap$uOdom'('v$ub','tc$uList$uOlist'('tc$uString$uOchar'),'tc$uValue$uOval'),'v$uab','tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),
inference(resolution,[status(thm)],[d17,d16]) ).
cnf(d19,plain,
( ~ 'class$uLattices$uOupper$u$usemilattice'('tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool'))
| ~ 'c$ulessequals'('v$uae','c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('v$ux','v$uab','tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')) ),
inference(resolution,[status(thm)],[d18,d14]) ).
cnf(d20,plain,
'c$ulessequals'(X0,'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X1,X0,'tc$ufun'(X2,'tc$ubool')),X3,'tc$ufun'(X2,'tc$ubool')),'tc$ufun'(X2,'tc$ubool')),
inference(resolution,[status(thm)],[c407,c449]) ).
cnf(d21,plain,
'c$ulessequals'(X1,'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X0,'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X1,X3,'tc$ufun'(X2,'tc$ubool')),'tc$ufun'(X2,'tc$ubool')),'tc$ufun'(X2,'tc$ubool')),
inference(demodulation,[status(thm)],[d20,c442]) ).
cnf(d22,plain,
'c$ulessequals'('v$uae','v$uad','tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),
inference(superposition,[status(thm)],[d15,c449]) ).
cnf(d23,plain,
'c$ulessequals'('v$uae','v$uab','tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),
inference(resolution,[status(thm)],[d17,d22]) ).
cnf(d24,plain,
'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('v$uab','v$uae','tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')) = 'v$uab',
inference(resolution,[status(thm)],[d23,c419]) ).
cnf(d25,plain,
'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('v$uae','v$uab','tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')) = 'v$uab',
inference(demodulation,[status(thm)],[d24,c458]) ).
cnf(d26,plain,
'c$ulessequals'('v$uae','c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X0,'v$uab','tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),
inference(superposition,[status(thm)],[d25,d21]) ).
cnf(d27,plain,
~ 'class$uLattices$uOupper$u$usemilattice'('tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ubool')),
inference(resolution,[status(thm)],[d26,d19]) ).
cnf(d28,plain,
~ 'class$uLattices$uOlattice'('tc$ubool'),
inference(resolution,[status(thm)],[d27,c473]) ).
cnf(d29,plain,
$false,
inference(resolution,[status(thm)],[c490,d28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV926-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n010.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sat Sep 26 15:10:30 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 59.09/9.96 % SZS status Unsatisfiable for theBenchmark.p
% 59.09/9.96 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------