%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWW299+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 : n026.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 09:11:39 AM UTC 2026
% Result : Theorem 96.21s 14.16s
% Output : CNFRefutation 96.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 6 unt; 0 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 36 ( 12 ~; 13 |; 2 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 8 con; 0-4 aty)
% Number of variables : 32 ( 0 sgn 12 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_0,hypothesis,
'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('t$ua','v$uG',hAPP(hAPP('c$uSet$uOinsert'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua')),'c$uHoare$u$uMirabelle$uOtriple$uOtriple'('t$ua','v$uP$uH','v$uc','v$uQ$uH')),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua'),'tc$uHOL$uObool')))) ).
fof(conj_1,hypothesis,
! [X0,X1] :
( 'v$uP'(X0,X1)
=> ! [X2] :
( ! [X3] :
( hBOOL(hAPP(hAPP('v$uP$uH',X3),X1))
=> hBOOL(hAPP(hAPP('v$uQ$uH',X3),X2)) )
=> 'v$uQ'(X0,X2) ) ) ).
fof(conj_2,conjecture,
! [X0,X1] :
( 'v$uP'(X0,X1)
=> ? [X2,X3] :
( ! [X4] :
( ! [X5] :
( hBOOL(hAPP(hAPP(X2,X5),X1))
=> hBOOL(hAPP(hAPP(X3,X5),X4)) )
=> 'v$uQ'(X0,X4) )
& 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('t$ua','v$uG',hAPP(hAPP('c$uSet$uOinsert'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua')),'c$uHoare$u$uMirabelle$uOtriple$uOtriple'('t$ua',X2,'v$uc',X3)),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua'),'tc$uHOL$uObool')))) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1] :
( 'v$uP'(X0,X1)
=> ? [X2,X3] :
( ! [X4] :
( ! [X5] :
( hBOOL(hAPP(hAPP(X2,X5),X1))
=> hBOOL(hAPP(hAPP(X3,X5),X4)) )
=> 'v$uQ'(X0,X4) )
& 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('t$ua','v$uG',hAPP(hAPP('c$uSet$uOinsert'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua')),'c$uHoare$u$uMirabelle$uOtriple$uOtriple'('t$ua',X2,'v$uc',X3)),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua'),'tc$uHOL$uObool')))) ) ),
inference(negate_conjecture,[status(cth)],[conj_2]) ).
cnf(c139,plain,
'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('t$ua','v$uG',hAPP(hAPP('c$uSet$uOinsert'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua')),'c$uHoare$u$uMirabelle$uOtriple$uOtriple'('t$ua','v$uP$uH','v$uc','v$uQ$uH')),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua'),'tc$uHOL$uObool')))),
inference(clausification,[status(esa)],[conj_0]) ).
cnf(c140,plain,
( 'v$uQ'(X0,X2)
| hBOOL(hAPP(hAPP('v$uP$uH',sK297(X1,X2)),X1))
| ~ 'v$uP'(X0,X1) ),
inference(clausification,[status(esa)],[conj_1]) ).
cnf(c141,plain,
( 'v$uQ'(X0,X2)
| ~ hBOOL(hAPP(hAPP('v$uQ$uH',sK297(X1,X2)),X2))
| ~ 'v$uP'(X0,X1) ),
inference(clausification,[status(esa)],[conj_1]) ).
cnf(c142,plain,
'v$uP'(sK298,sK299),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c143,plain,
( hBOOL(hAPP(hAPP(X1,X2),sK302(X0,X1)))
| ~ hBOOL(hAPP(hAPP(X0,X2),sK299))
| ~ 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('t$ua','v$uG',hAPP(hAPP('c$uSet$uOinsert'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua')),'c$uHoare$u$uMirabelle$uOtriple$uOtriple'('t$ua',X0,'v$uc',X1)),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua'),'tc$uHOL$uObool')))) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c144,plain,
( ~ 'v$uQ'(sK298,sK302(X0,X1))
| ~ 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('t$ua','v$uG',hAPP(hAPP('c$uSet$uOinsert'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua')),'c$uHoare$u$uMirabelle$uOtriple$uOtriple'('t$ua',X0,'v$uc',X1)),'c$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,
( 'v$uQ'(sK298,X0)
| hBOOL(hAPP(hAPP('v$uP$uH',sK297(sK299,X0)),sK299)) ),
inference(resolution,[status(thm)],[c140,c142]) ).
cnf(d1,plain,
( ~ hBOOL(hAPP(hAPP('v$uP$uH',X0),sK299))
| hBOOL(hAPP(hAPP('v$uQ$uH',X0),sK302('v$uP$uH','v$uQ$uH'))) ),
inference(resolution,[status(thm)],[c139,c143]) ).
cnf(d2,plain,
( 'v$uQ'(sK298,X0)
| hBOOL(hAPP(hAPP('v$uQ$uH',sK297(sK299,X0)),sK302('v$uP$uH','v$uQ$uH'))) ),
inference(resolution,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
( 'v$uQ'(X0,sK302('v$uP$uH','v$uQ$uH'))
| ~ 'v$uP'(X0,sK299)
| 'v$uQ'(sK298,sK302('v$uP$uH','v$uQ$uH')) ),
inference(resolution,[status(thm)],[d2,c141]) ).
cnf(d4,plain,
~ 'v$uQ'(sK298,sK302('v$uP$uH','v$uQ$uH')),
inference(resolution,[status(thm)],[c139,c144]) ).
cnf(d5,plain,
( 'v$uQ'(X0,sK302('v$uP$uH','v$uQ$uH'))
| ~ 'v$uP'(X0,sK299) ),
inference(resolution,[status(thm)],[d4,d3]) ).
cnf(d6,plain,
'v$uQ'(sK298,sK302('v$uP$uH','v$uQ$uH')),
inference(resolution,[status(thm)],[d5,c142]) ).
cnf(d7,plain,
$false,
inference(resolution,[status(thm)],[d4,d6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW299+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
% 0.09/0.36 % Computer : n026.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 15:39:55 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 96.21/14.16 % SZS status Theorem for theBenchmark.p
% 96.21/14.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------