%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWW190+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/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 09:11:30 AM UTC 2026
% Result : Theorem 75.93s 15.11s
% Output : CNFRefutation 75.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 24 ( 10 unt; 0 def)
% Number of atoms : 44 ( 3 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 36 ( 16 ~; 14 |; 0 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 35 ( 8 sgn 12 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_bz,axiom,
? [X0] :
! [X1] :
( hBOOL(hAPP('v$uP',X1))
=> 'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal',X1,X0) ) ).
fof(fact_Collect__def,axiom,
! [X0,X1] : 'c$uSet$uOCollect'(X1,X0) = X0 ).
fof(fact_mem__def,axiom,
! [X0,X1,X2] :
( 'c$umember'(X2,X1,X0)
<=> hBOOL(hAPP(X0,X1)) ) ).
fof(fact_isUb__UNIV__I,axiom,
! [X0,X1,X2] :
( 'class$uOrderings$uOord'(X2)
=> ( ! [X3] :
( 'c$umember'(X2,X3,X1)
=> 'c$uOrderings$uOord$u$uclass$uOless$u$ueq'(X2,X3,X0) )
=> hBOOL(hAPP('c$uLubs$uOisUb'(X2,'c$uOrderings$uOtop$u$uclass$uOtop'('tc$ufun'(X2,'tc$uHOL$uObool')),X1),X0)) ) ) ).
fof(fact_less__eq__real__def,axiom,
! [X0,X1] :
( 'c$uOrderings$uOord$u$uclass$uOless$u$ueq'('tc$uRealDef$uOreal',X1,X0)
<=> ( X1 = X0
| 'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal',X1,X0) ) ) ).
fof(arity_RealDef__Oreal__Orderings_Oord,axiom,
'class$uOrderings$uOord'('tc$uRealDef$uOreal') ).
fof(conj_0,conjecture,
? [X0] : hBOOL(hAPP('c$uLubs$uOisUb'('tc$uRealDef$uOreal','c$uOrderings$uOtop$u$uclass$uOtop'('tc$ufun'('tc$uRealDef$uOreal','tc$uHOL$uObool')),'c$uSet$uOCollect'('tc$uRealDef$uOreal','v$uP')),X0)) ).
fof(negated_conjecture,negated_conjecture,
~ ? [X0] : hBOOL(hAPP('c$uLubs$uOisUb'('tc$uRealDef$uOreal','c$uOrderings$uOtop$u$uclass$uOtop'('tc$ufun'('tc$uRealDef$uOreal','tc$uHOL$uObool')),'c$uSet$uOCollect'('tc$uRealDef$uOreal','v$uP')),X0)),
inference(negate_conjecture,[status(cth)],[conj_0]) ).
cnf(c3,plain,
( 'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal',X0,sK4)
| ~ hBOOL(hAPP('v$uP',X0)) ),
inference(clausification,[status(esa)],[fact_bz]) ).
cnf(c8,plain,
'c$uSet$uOCollect'(X0,X1) = X1,
inference(clausification,[status(esa)],[fact_Collect__def]) ).
cnf(c28,plain,
( hBOOL(hAPP(X2,X1))
| ~ 'c$umember'(X0,X1,X2) ),
inference(clausification,[status(esa)],[fact_mem__def]) ).
cnf(c166,plain,
( hBOOL(hAPP('c$uLubs$uOisUb'(X0,'c$uOrderings$uOtop$u$uclass$uOtop'('tc$ufun'(X0,'tc$uHOL$uObool')),X2),X1))
| 'c$umember'(X0,sK418(X1,X2,X0),X2)
| ~ 'class$uOrderings$uOord'(X0) ),
inference(clausification,[status(esa)],[fact_isUb__UNIV__I]) ).
cnf(c167,plain,
( hBOOL(hAPP('c$uLubs$uOisUb'(X0,'c$uOrderings$uOtop$u$uclass$uOtop'('tc$ufun'(X0,'tc$uHOL$uObool')),X2),X1))
| ~ 'c$uOrderings$uOord$u$uclass$uOless$u$ueq'(X0,sK418(X1,X2,X0),X1)
| ~ 'class$uOrderings$uOord'(X0) ),
inference(clausification,[status(esa)],[fact_isUb__UNIV__I]) ).
cnf(c169,plain,
( ~ 'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal',X0,X1)
| 'c$uOrderings$uOord$u$uclass$uOless$u$ueq'('tc$uRealDef$uOreal',X0,X1) ),
inference(clausification,[status(esa)],[fact_less__eq__real__def]) ).
cnf(c1589,plain,
'class$uOrderings$uOord'('tc$uRealDef$uOreal'),
inference(clausification,[status(esa)],[arity_RealDef__Oreal__Orderings_Oord]) ).
cnf(c1598,plain,
~ hBOOL(hAPP('c$uLubs$uOisUb'('tc$uRealDef$uOreal','c$uOrderings$uOtop$u$uclass$uOtop'('tc$ufun'('tc$uRealDef$uOreal','tc$uHOL$uObool')),'c$uSet$uOCollect'('tc$uRealDef$uOreal','v$uP')),X0)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
~ hBOOL(hAPP('c$uLubs$uOisUb'('tc$uRealDef$uOreal','c$uOrderings$uOtop$u$uclass$uOtop'('tc$ufun'('tc$uRealDef$uOreal','tc$uHOL$uObool')),'v$uP'),X0)),
inference(demodulation,[status(thm)],[c1598,c8]) ).
cnf(d1,plain,
( 'c$umember'('tc$uRealDef$uOreal',sK418(X0,'v$uP','tc$uRealDef$uOreal'),'v$uP')
| ~ 'class$uOrderings$uOord'('tc$uRealDef$uOreal') ),
inference(resolution,[status(thm)],[c166,d0]) ).
cnf(d2,plain,
( hBOOL(hAPP('v$uP',sK418(X0,'v$uP','tc$uRealDef$uOreal')))
| ~ 'class$uOrderings$uOord'('tc$uRealDef$uOreal') ),
inference(resolution,[status(thm)],[d1,c28]) ).
cnf(d3,plain,
( 'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal',sK418(X0,'v$uP','tc$uRealDef$uOreal'),sK4)
| ~ 'class$uOrderings$uOord'('tc$uRealDef$uOreal') ),
inference(resolution,[status(thm)],[d2,c3]) ).
cnf(d4,plain,
( ~ 'class$uOrderings$uOord'('tc$uRealDef$uOreal')
| 'c$uOrderings$uOord$u$uclass$uOless$u$ueq'('tc$uRealDef$uOreal',sK418(X0,'v$uP','tc$uRealDef$uOreal'),sK4) ),
inference(resolution,[status(thm)],[c169,d3]) ).
cnf(d5,plain,
( ~ 'class$uOrderings$uOord'('tc$uRealDef$uOreal')
| hBOOL(hAPP('c$uLubs$uOisUb'('tc$uRealDef$uOreal','c$uOrderings$uOtop$u$uclass$uOtop'('tc$ufun'('tc$uRealDef$uOreal','tc$uHOL$uObool')),'v$uP'),sK4))
| ~ 'class$uOrderings$uOord'('tc$uRealDef$uOreal') ),
inference(resolution,[status(thm)],[d4,c167]) ).
cnf(d6,plain,
~ 'class$uOrderings$uOord'('tc$uRealDef$uOreal'),
inference(resolution,[status(thm)],[d0,d5]) ).
cnf(d7,plain,
$false,
inference(resolution,[status(thm)],[d6,c1589]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW190+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.37 % Computer : n010.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Sat Sep 26 15:26:52 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 75.93/15.11 % SZS status Theorem for theBenchmark.p
% 75.93/15.11 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------