%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWW337+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 09:11:43 AM UTC 2026
% Result : Theorem 79.74s 22.92s
% Output : CNFRefutation 79.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 7 unt; 0 def)
% Number of atoms : 25 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 18 ( 6 ~; 4 |; 0 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_subsetD,axiom,
! [X0,X1,X2,X3] :
( hBOOL(hAPP(hAPP('c$uOrderings$uOord$u$uclass$uOless$u$ueq'('tc$ufun'(X3,'tc$uHOL$uObool')),X2),X1))
=> ( hBOOL(hAPP(hAPP('c$umember'(X3),X0),X2))
=> hBOOL(hAPP(hAPP('c$umember'(X3),X0),X1)) ) ) ).
fof(conj_0,hypothesis,
hBOOL(hAPP(hAPP('c$uOrderings$uOord$u$uclass$uOless$u$ueq'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua'),'tc$uHOL$uObool')),'v$uts'),'v$uG')) ).
fof(conj_1,conjecture,
! [X0] :
( ! [X1] :
( hBOOL(hAPP(hAPP('c$umember'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua')),X1),'v$uG'))
=> 'c$uHoare$u$uMirabelle$uOtriple$u$uvalid'('t$ua',X0,X1) )
=> ! [X1] :
( hBOOL(hAPP(hAPP('c$umember'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua')),X1),'v$uts'))
=> 'c$uHoare$u$uMirabelle$uOtriple$u$uvalid'('t$ua',X0,X1) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( ! [X1] :
( hBOOL(hAPP(hAPP('c$umember'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua')),X1),'v$uG'))
=> 'c$uHoare$u$uMirabelle$uOtriple$u$uvalid'('t$ua',X0,X1) )
=> ! [X1] :
( hBOOL(hAPP(hAPP('c$umember'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua')),X1),'v$uts'))
=> 'c$uHoare$u$uMirabelle$uOtriple$u$uvalid'('t$ua',X0,X1) ) ),
inference(negate_conjecture,[status(cth)],[conj_1]) ).
cnf(c16,plain,
( ~ hBOOL(hAPP(hAPP('c$umember'(X0),X3),X1))
| hBOOL(hAPP(hAPP('c$umember'(X0),X3),X2))
| ~ hBOOL(hAPP(hAPP('c$uOrderings$uOord$u$uclass$uOless$u$ueq'('tc$ufun'(X0,'tc$uHOL$uObool')),X1),X2)) ),
inference(clausification,[status(esa)],[fact_subsetD]) ).
cnf(c29,plain,
hBOOL(hAPP(hAPP('c$uOrderings$uOord$u$uclass$uOless$u$ueq'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua'),'tc$uHOL$uObool')),'v$uts'),'v$uG')),
inference(clausification,[status(esa)],[conj_0]) ).
cnf(c30,plain,
( 'c$uHoare$u$uMirabelle$uOtriple$u$uvalid'('t$ua',sK74,X0)
| ~ hBOOL(hAPP(hAPP('c$umember'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua')),X0),'v$uG')) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c31,plain,
hBOOL(hAPP(hAPP('c$umember'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua')),sK76),'v$uts')),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c32,plain,
~ 'c$uHoare$u$uMirabelle$uOtriple$u$uvalid'('t$ua',sK74,sK76),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ hBOOL(hAPP(hAPP('c$uOrderings$uOord$u$uclass$uOless$u$ueq'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua'),'tc$uHOL$uObool')),'v$uts'),X0))
| hBOOL(hAPP(hAPP('c$umember'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua')),sK76),X0)) ),
inference(resolution,[status(thm)],[c16,c31]) ).
cnf(d1,plain,
hBOOL(hAPP(hAPP('c$umember'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua')),sK76),'v$uG')),
inference(resolution,[status(thm)],[c29,d0]) ).
cnf(d2,plain,
'c$uHoare$u$uMirabelle$uOtriple$u$uvalid'('t$ua',sK74,sK76),
inference(resolution,[status(thm)],[d1,c30]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[c32,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW337+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/10.38 % Computer : n003.cluster.edu
% 0.10/10.38 % Model : x86_64 x86_64
% 0.10/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.38 % Memory : 8046.5625MB
% 0.10/10.38 % OS : Linux 6.8.0-71-generic
% 0.10/10.38 % CPULimit : 300
% 0.10/10.38 % WCLimit : 300
% 0.10/10.38 % DateTime : Sat Sep 26 15:44:05 UTC 2026
% 0.10/10.38 % CPUTime :
% 0.10/10.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 79.74/22.92 % SZS status Theorem for theBenchmark.p
% 79.74/22.92 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------