%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWW323+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 : n005.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 09:11:42 AM UTC 2026
% Result : Theorem 90.84s 22.68s
% Output : CNFRefutation 90.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 9 ( 6 unt; 0 def)
% Number of atoms : 12 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 3 ~; 1 |; 1 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 14 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 13 con; 0-3 aty)
% Number of variables : 2 ( 0 sgn 1 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_0,hypothesis,
! [X0] :
( 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('t$ub','v$uG',hAPP(hAPP('c$uSet$uOinsert'('tc$uHoare$u$uMirabelle$uOtriple'('t$ub')),hAPP(hAPP(hAPP('c$uHoare$u$uMirabelle$uOtriple$uOtriple'('t$ub'),hAPP('v$uP$uH',X0)),hAPP('v$uc0',X0)),hAPP('v$uQ$uH',X0))),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('t$ub'),'tc$uHOL$uObool'))))
=> 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('t$ub','v$uG',hAPP(hAPP('c$uSet$uOinsert'('tc$uHoare$u$uMirabelle$uOtriple'('t$ub')),hAPP(hAPP(hAPP('c$uHoare$u$uMirabelle$uOtriple$uOtriple'('t$ub'),hAPP('v$uP',X0)),hAPP('v$uc0',X0)),hAPP('v$uQ',X0))),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('t$ub'),'tc$uHOL$uObool')))) ) ).
fof(conj_4,hypothesis,
( 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('t$ub','v$uG',hAPP('c$uSet$uOimage'('t$ua','tc$uHoare$u$uMirabelle$uOtriple'('t$ub'),hAPP(hAPP('c$uCOMBS'('t$ua','tc$ufun'('t$ub','tc$ufun'('tc$uCom$uOstate','tc$uHOL$uObool')),'tc$uHoare$u$uMirabelle$uOtriple'('t$ub')),hAPP(hAPP('c$uCOMBS'('t$ua','tc$uCom$uOcom','tc$ufun'('tc$ufun'('t$ub','tc$ufun'('tc$uCom$uOstate','tc$uHOL$uObool')),'tc$uHoare$u$uMirabelle$uOtriple'('t$ub'))),hAPP(hAPP('c$uCOMBB'('tc$ufun'('t$ub','tc$ufun'('tc$uCom$uOstate','tc$uHOL$uObool')),'tc$ufun'('tc$uCom$uOcom','tc$ufun'('tc$ufun'('t$ub','tc$ufun'('tc$uCom$uOstate','tc$uHOL$uObool')),'tc$uHoare$u$uMirabelle$uOtriple'('t$ub'))),'t$ua'),'c$uHoare$u$uMirabelle$uOtriple$uOtriple'('t$ub')),'v$uP$uH')),'v$uc0')),'v$uQ$uH')),'v$uF'))
& 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('t$ub','v$uG',hAPP(hAPP('c$uSet$uOinsert'('tc$uHoare$u$uMirabelle$uOtriple'('t$ub')),hAPP(hAPP(hAPP('c$uHoare$u$uMirabelle$uOtriple$uOtriple'('t$ub'),hAPP('v$uP$uH','v$ux')),hAPP('v$uc0','v$ux')),hAPP('v$uQ$uH','v$ux'))),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('t$ub'),'tc$uHOL$uObool')))) ) ).
fof(conj_5,conjecture,
'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('t$ub','v$uG',hAPP(hAPP('c$uSet$uOinsert'('tc$uHoare$u$uMirabelle$uOtriple'('t$ub')),hAPP(hAPP(hAPP('c$uHoare$u$uMirabelle$uOtriple$uOtriple'('t$ub'),hAPP('v$uP','v$ux')),hAPP('v$uc0','v$ux')),hAPP('v$uQ','v$ux'))),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('t$ub'),'tc$uHOL$uObool')))) ).
fof(negated_conjecture,negated_conjecture,
~ 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('t$ub','v$uG',hAPP(hAPP('c$uSet$uOinsert'('tc$uHoare$u$uMirabelle$uOtriple'('t$ub')),hAPP(hAPP(hAPP('c$uHoare$u$uMirabelle$uOtriple$uOtriple'('t$ub'),hAPP('v$uP','v$ux')),hAPP('v$uc0','v$ux')),hAPP('v$uQ','v$ux'))),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('t$ub'),'tc$uHOL$uObool')))),
inference(negate_conjecture,[status(cth)],[conj_5]) ).
cnf(c143,plain,
( 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('t$ub','v$uG',hAPP(hAPP('c$uSet$uOinsert'('tc$uHoare$u$uMirabelle$uOtriple'('t$ub')),hAPP(hAPP(hAPP('c$uHoare$u$uMirabelle$uOtriple$uOtriple'('t$ub'),hAPP('v$uP',X0)),hAPP('v$uc0',X0)),hAPP('v$uQ',X0))),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('t$ub'),'tc$uHOL$uObool'))))
| ~ 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('t$ub','v$uG',hAPP(hAPP('c$uSet$uOinsert'('tc$uHoare$u$uMirabelle$uOtriple'('t$ub')),hAPP(hAPP(hAPP('c$uHoare$u$uMirabelle$uOtriple$uOtriple'('t$ub'),hAPP('v$uP$uH',X0)),hAPP('v$uc0',X0)),hAPP('v$uQ$uH',X0))),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('t$ub'),'tc$uHOL$uObool')))) ),
inference(clausification,[status(esa)],[conj_0]) ).
cnf(c146,plain,
'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('t$ub','v$uG',hAPP(hAPP('c$uSet$uOinsert'('tc$uHoare$u$uMirabelle$uOtriple'('t$ub')),hAPP(hAPP(hAPP('c$uHoare$u$uMirabelle$uOtriple$uOtriple'('t$ub'),hAPP('v$uP$uH','v$ux')),hAPP('v$uc0','v$ux')),hAPP('v$uQ$uH','v$ux'))),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('t$ub'),'tc$uHOL$uObool')))),
inference(clausification,[status(esa)],[conj_4]) ).
cnf(c148,plain,
~ 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('t$ub','v$uG',hAPP(hAPP('c$uSet$uOinsert'('tc$uHoare$u$uMirabelle$uOtriple'('t$ub')),hAPP(hAPP(hAPP('c$uHoare$u$uMirabelle$uOtriple$uOtriple'('t$ub'),hAPP('v$uP','v$ux')),hAPP('v$uc0','v$ux')),hAPP('v$uQ','v$ux'))),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('t$ub'),'tc$uHOL$uObool')))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('t$ub','v$uG',hAPP(hAPP('c$uSet$uOinsert'('tc$uHoare$u$uMirabelle$uOtriple'('t$ub')),hAPP(hAPP(hAPP('c$uHoare$u$uMirabelle$uOtriple$uOtriple'('t$ub'),hAPP('v$uP','v$ux')),hAPP('v$uc0','v$ux')),hAPP('v$uQ','v$ux'))),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('t$ub'),'tc$uHOL$uObool')))),
inference(resolution,[status(thm)],[c146,c143]) ).
cnf(d1,plain,
$false,
inference(resolution,[status(thm)],[c148,d0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW323+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
% 0.12/0.39 % Computer : n005.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sat Sep 26 15:40:02 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 90.84/22.68 % SZS status Theorem for theBenchmark.p
% 90.84/22.68 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------