%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWW389+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 : n017.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 09:11:48 AM UTC 2026
% Result : Theorem 4.57s 14.86s
% Output : CNFRefutation 4.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 13 ( 11 unt; 0 def)
% Number of atoms : 16 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 7 ( 4 ~; 1 |; 0 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 2 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 8 con; 0-5 aty)
% Number of variables : 20 ( 3 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_escape,axiom,
! [X0,X1,X2,X3,X4] :
( ! [X5,X6] :
( hBOOL(hAPP(hAPP(X4,X5),X6))
=> 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'(X3,X2,hAPP(hAPP('c$uSet$uOinsert'('tc$uHoare$u$uMirabelle$uOtriple'(X3)),hAPP(hAPP(hAPP('c$uHoare$u$uMirabelle$uOtriple$uOtriple'(X3),hAPP('c$uCOMBK'('tc$ufun'('tc$uCom$uOstate','tc$uHOL$uObool'),X3),hAPP(hAPP('c$uCOMBC'('tc$uCom$uOstate','tc$uCom$uOstate','tc$uHOL$uObool'),'c$ufequal'),X6))),X1),hAPP('c$uCOMBK'('tc$ufun'('tc$uCom$uOstate','tc$uHOL$uObool'),X3),hAPP(X0,X5)))),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'(X3),'tc$uHOL$uObool')))) )
=> 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'(X3,X2,hAPP(hAPP('c$uSet$uOinsert'('tc$uHoare$u$uMirabelle$uOtriple'(X3)),hAPP(hAPP(hAPP('c$uHoare$u$uMirabelle$uOtriple$uOtriple'(X3),X4),X1),X0)),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'(X3),'tc$uHOL$uObool')))) ) ).
fof(help_c__COMBK__1,axiom,
! [X0,X1,X2,X3] : hAPP(hAPP('c$uCOMBK'(X3,X2),X1),X0) = X1 ).
fof(help_c__fFalse__1,axiom,
~ hBOOL('c$ufFalse') ).
fof(conj_0,conjecture,
'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('t$ua','v$uG',hAPP(hAPP('c$uSet$uOinsert'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua')),hAPP(hAPP(hAPP('c$uHoare$u$uMirabelle$uOtriple$uOtriple'('t$ua'),hAPP('c$uCOMBK'('tc$ufun'('tc$uCom$uOstate','tc$uHOL$uObool'),'t$ua'),hAPP('c$uCOMBK'('tc$uHOL$uObool','tc$uCom$uOstate'),'c$ufFalse'))),'v$uc'),'v$uQ')),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua'),'tc$uHOL$uObool')))) ).
fof(negated_conjecture,negated_conjecture,
~ 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('t$ua','v$uG',hAPP(hAPP('c$uSet$uOinsert'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua')),hAPP(hAPP(hAPP('c$uHoare$u$uMirabelle$uOtriple$uOtriple'('t$ua'),hAPP('c$uCOMBK'('tc$ufun'('tc$uCom$uOstate','tc$uHOL$uObool'),'t$ua'),hAPP('c$uCOMBK'('tc$uHOL$uObool','tc$uCom$uOstate'),'c$ufFalse'))),'v$uc'),'v$uQ')),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua'),'tc$uHOL$uObool')))),
inference(negate_conjecture,[status(cth)],[conj_0]) ).
cnf(c20,plain,
( 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'(X4,X3,hAPP(hAPP('c$uSet$uOinsert'('tc$uHoare$u$uMirabelle$uOtriple'(X4)),hAPP(hAPP(hAPP('c$uHoare$u$uMirabelle$uOtriple$uOtriple'(X4),X0),X2),X1)),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'(X4),'tc$uHOL$uObool'))))
| hBOOL(hAPP(hAPP(X0,sK45(X1,X2,X3,X4,X0)),sK46(X1,X2,X3,X4,X0))) ),
inference(clausification,[status(esa)],[fact_escape]) ).
cnf(c197,plain,
hAPP(hAPP('c$uCOMBK'(X0,X1),X2),X3) = X2,
inference(clausification,[status(esa)],[help_c__COMBK__1]) ).
cnf(c198,plain,
~ hBOOL('c$ufFalse'),
inference(clausification,[status(esa)],[help_c__fFalse__1]) ).
cnf(c199,plain,
~ 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('t$ua','v$uG',hAPP(hAPP('c$uSet$uOinsert'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua')),hAPP(hAPP(hAPP('c$uHoare$u$uMirabelle$uOtriple$uOtriple'('t$ua'),hAPP('c$uCOMBK'('tc$ufun'('tc$uCom$uOstate','tc$uHOL$uObool'),'t$ua'),hAPP('c$uCOMBK'('tc$uHOL$uObool','tc$uCom$uOstate'),'c$ufFalse'))),'v$uc'),'v$uQ')),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua'),'tc$uHOL$uObool')))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
hBOOL(hAPP(hAPP(hAPP('c$uCOMBK'('tc$ufun'('tc$uCom$uOstate','tc$uHOL$uObool'),'t$ua'),hAPP('c$uCOMBK'('tc$uHOL$uObool','tc$uCom$uOstate'),'c$ufFalse')),sK45('v$uQ','v$uc','v$uG','t$ua',hAPP('c$uCOMBK'('tc$ufun'('tc$uCom$uOstate','tc$uHOL$uObool'),'t$ua'),hAPP('c$uCOMBK'('tc$uHOL$uObool','tc$uCom$uOstate'),'c$ufFalse')))),sK46('v$uQ','v$uc','v$uG','t$ua',hAPP('c$uCOMBK'('tc$ufun'('tc$uCom$uOstate','tc$uHOL$uObool'),'t$ua'),hAPP('c$uCOMBK'('tc$uHOL$uObool','tc$uCom$uOstate'),'c$ufFalse'))))),
inference(resolution,[status(thm)],[c20,c199]) ).
cnf(d1,plain,
hBOOL(hAPP(hAPP('c$uCOMBK'('tc$uHOL$uObool','tc$uCom$uOstate'),'c$ufFalse'),sK46('v$uQ','v$uc','v$uG','t$ua',hAPP('c$uCOMBK'('tc$ufun'('tc$uCom$uOstate','tc$uHOL$uObool'),'t$ua'),hAPP('c$uCOMBK'('tc$uHOL$uObool','tc$uCom$uOstate'),'c$ufFalse'))))),
inference(demodulation,[status(thm)],[d0,c197]) ).
cnf(d2,plain,
hBOOL('c$ufFalse'),
inference(demodulation,[status(thm)],[d1,c197]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[c198,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW389+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
% 0.10/0.44 % Computer : n017.cluster.edu
% 0.10/0.44 % Model : x86_64 x86_64
% 0.10/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.44 % Memory : 8046.5625MB
% 0.10/0.44 % OS : Linux 6.8.0-71-generic
% 0.10/0.44 % CPULimit : 300
% 0.10/0.44 % WCLimit : 300
% 0.10/0.44 % DateTime : Sat Sep 26 15:43:03 UTC 2026
% 0.10/0.44 % CPUTime :
% 0.10/0.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.57/14.86 % SZS status Theorem for theBenchmark.p
% 4.57/14.86 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------