%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV844-1 : 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 : n007.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 09:04:48 AM UTC 2026
% Result : Unsatisfiable 42.05s 17.79s
% Output : CNFRefutation 42.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of clauses : 27 ( 17 unt; 0 nHn; 17 RR)
% Number of literals : 42 ( 6 equ; 22 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 2 con; 0-4 aty)
% Number of variables : 45 ( 10 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Suc__n__not__le__n_0,axiom,
~ hBOOL(hAPP(hAPP('c$ulessequals'('tc$unat'),'c$uSuc'(X0)),X0)) ).
cnf(cls_linorder__class_OMin__def__raw_0,axiom,
( 'c$uFinite$u$uSet$uOlinorder$u$uclass$uOMin'(X0) = 'c$uFinite$u$uSet$uOfold1'('c$uOrderings$uOord$u$uclass$uOmin'(X0),X0)
| ~ 'class$uOrderings$uOlinorder'(X0) ) ).
cnf(cls_Max__ge_0,axiom,
( ~ 'c$uFinite$u$uSet$uOfinite'(X2,X0)
| ~ hBOOL('c$uin'(X1,X2,X0))
| hBOOL(hAPP(hAPP('c$ulessequals'(X0),X1),hAPP('c$uFinite$u$uSet$uOlinorder$u$uclass$uOMax'(X0),X2)))
| ~ 'class$uOrderings$uOlinorder'(X0) ) ).
cnf(cls_rangeI_0,axiom,
hBOOL('c$uin'(hAPP(X0,X1),'c$uSet$uOimage'(X0,'c$uOrderings$uOtop$u$uclass$uOtop'('tc$ufun'(X2,'tc$ubool')),X2,X3),X3)) ).
cnf(cls_fold1__singleton_0,axiom,
hAPP('c$uFinite$u$uSet$uOfold1'(X0,X1),'c$uSet$uOinsert'(X2,'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'(X1,'tc$ubool')),X1)) = X2 ).
cnf(cls_finite__imageI_0,axiom,
( ~ 'c$uFinite$u$uSet$uOfinite'(X1,X2)
| 'c$uFinite$u$uSet$uOfinite'('c$uSet$uOimage'(X0,X1,X2,X3),X3) ) ).
cnf(cls_finite_0,axiom,
( 'c$uFinite$u$uSet$uOfinite'(X1,X0)
| ~ 'class$uFinite$u$uSet$uOfinite$uOfinite'(X0) ) ).
cnf(clsarity_nat__Orderings_Olinorder,axiom,
'class$uOrderings$uOlinorder'('tc$unat') ).
cnf(clsarity_bool__Finite__Set_Ofinite_Ofinite,axiom,
'class$uFinite$u$uSet$uOfinite$uOfinite'('tc$ubool') ).
cnf(c243,plain,
~ hBOOL(hAPP(hAPP('c$ulessequals'('tc$unat'),'c$uSuc'(X0)),X0)),
inference(clausification,[status(esa)],[cls_Suc__n__not__le__n_0]) ).
cnf(c495,plain,
( 'c$uFinite$u$uSet$uOfold1'('c$uOrderings$uOord$u$uclass$uOmin'(X0),X0) = 'c$uFinite$u$uSet$uOlinorder$u$uclass$uOMin'(X0)
| ~ 'class$uOrderings$uOlinorder'(X0) ),
inference(clausification,[status(esa)],[cls_linorder__class_OMin__def__raw_0]) ).
cnf(c703,plain,
( ~ 'c$uFinite$u$uSet$uOfinite'(X1,X2)
| hBOOL(hAPP(hAPP('c$ulessequals'(X2),X0),hAPP('c$uFinite$u$uSet$uOlinorder$u$uclass$uOMax'(X2),X1)))
| ~ 'class$uOrderings$uOlinorder'(X2)
| ~ hBOOL('c$uin'(X0,X1,X2)) ),
inference(clausification,[status(esa)],[cls_Max__ge_0]) ).
cnf(c767,plain,
hBOOL('c$uin'(hAPP(X0,X1),'c$uSet$uOimage'(X0,'c$uOrderings$uOtop$u$uclass$uOtop'('tc$ufun'(X2,'tc$ubool')),X2,X3),X3)),
inference(clausification,[status(esa)],[cls_rangeI_0]) ).
cnf(c879,plain,
hAPP('c$uFinite$u$uSet$uOfold1'(X0,X1),'c$uSet$uOinsert'(X2,'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'(X1,'tc$ubool')),X1)) = X2,
inference(clausification,[status(esa)],[cls_fold1__singleton_0]) ).
cnf(c941,plain,
( ~ 'c$uFinite$u$uSet$uOfinite'(X1,X2)
| 'c$uFinite$u$uSet$uOfinite'('c$uSet$uOimage'(X0,X1,X2,X3),X3) ),
inference(clausification,[status(esa)],[cls_finite__imageI_0]) ).
cnf(c973,plain,
( 'c$uFinite$u$uSet$uOfinite'(X1,X0)
| ~ 'class$uFinite$u$uSet$uOfinite$uOfinite'(X0) ),
inference(clausification,[status(esa)],[cls_finite_0]) ).
cnf(c1016,plain,
'class$uOrderings$uOlinorder'('tc$unat'),
inference(clausification,[status(esa)],[clsarity_nat__Orderings_Olinorder]) ).
cnf(c1028,plain,
'class$uFinite$u$uSet$uOfinite$uOfinite'('tc$ubool'),
inference(clausification,[status(esa)],[clsarity_bool__Finite__Set_Ofinite_Ofinite]) ).
cnf(d0,plain,
'c$uFinite$u$uSet$uOfold1'('c$uOrderings$uOord$u$uclass$uOmin'('tc$unat'),'tc$unat') = 'c$uFinite$u$uSet$uOlinorder$u$uclass$uOMin'('tc$unat'),
inference(resolution,[status(thm)],[c495,c1016]) ).
cnf(d1,plain,
hAPP('c$uFinite$u$uSet$uOlinorder$u$uclass$uOMin'('tc$unat'),'c$uSet$uOinsert'(X0,'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$unat','tc$ubool')),'tc$unat')) = X0,
inference(superposition,[status(thm)],[d0,c879]) ).
cnf(d2,plain,
hBOOL('c$uin'(X0,'c$uSet$uOimage'('c$uFinite$u$uSet$uOlinorder$u$uclass$uOMin'('tc$unat'),'c$uOrderings$uOtop$u$uclass$uOtop'('tc$ufun'(X1,'tc$ubool')),X1,X2),X2)),
inference(superposition,[status(thm)],[d1,c767]) ).
cnf(d3,plain,
( ~ 'c$uFinite$u$uSet$uOfinite'(X0,'tc$unat')
| ~ hBOOL('c$uin'('c$uSuc'(hAPP('c$uFinite$u$uSet$uOlinorder$u$uclass$uOMax'('tc$unat'),X0)),X0,'tc$unat'))
| ~ 'class$uOrderings$uOlinorder'('tc$unat') ),
inference(resolution,[status(thm)],[c703,c243]) ).
cnf(d4,plain,
( ~ 'c$uFinite$u$uSet$uOfinite'(X0,'tc$unat')
| ~ hBOOL('c$uin'('c$uSuc'(hAPP('c$uFinite$u$uSet$uOlinorder$u$uclass$uOMax'('tc$unat'),X0)),X0,'tc$unat')) ),
inference(resolution,[status(thm)],[c1016,d3]) ).
cnf(d5,plain,
~ 'c$uFinite$u$uSet$uOfinite'('c$uSet$uOimage'('c$uFinite$u$uSet$uOlinorder$u$uclass$uOMin'('tc$unat'),'c$uOrderings$uOtop$u$uclass$uOtop'('tc$ufun'(X0,'tc$ubool')),X0,'tc$unat'),'tc$unat'),
inference(resolution,[status(thm)],[d4,d2]) ).
cnf(d6,plain,
~ 'c$uFinite$u$uSet$uOfinite'('c$uOrderings$uOtop$u$uclass$uOtop'('tc$ufun'(X0,'tc$ubool')),X0),
inference(resolution,[status(thm)],[d5,c941]) ).
cnf(d7,plain,
~ 'class$uFinite$u$uSet$uOfinite$uOfinite'(X0),
inference(resolution,[status(thm)],[d6,c973]) ).
cnf(d8,plain,
$false,
inference(resolution,[status(thm)],[d7,c1028]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV844-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n007.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sat Sep 26 15:00:55 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 42.05/17.79 % SZS status Unsatisfiable for theBenchmark.p
% 42.05/17.79 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------