%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWW387+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 : n014.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 09:11:47 AM UTC 2026
% Result : Theorem 120.03s 22.56s
% Output : CNFRefutation 120.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 21 ( 15 unt; 0 def)
% Number of atoms : 32 ( 8 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 24 ( 13 ~; 7 |; 0 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 9 con; 0-2 aty)
% Number of variables : 10 ( 1 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_MGF,axiom,
! [X0] :
( 'c$uHoare$u$uMirabelle$uOstate$u$unot$u$usingleton'
=> ( 'c$uCom$uOWT$u$ubodies'
=> ( hBOOL(hAPP('c$uCom$uOWT',X0))
=> 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('tc$uCom$uOstate','c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('tc$uCom$uOstate'),'tc$uHOL$uObool')),hAPP(hAPP('c$uSet$uOinsert'('tc$uHoare$u$uMirabelle$uOtriple'('tc$uCom$uOstate')),hAPP('c$uHoare$u$uMirabelle$uOMGT',X0)),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('tc$uCom$uOstate'),'tc$uHOL$uObool')))) ) ) ) ).
fof(fact_option_Osimps_I3_J,axiom,
! [X0,X1] : hAPP('c$uOption$uOoption$uOSome'(X1),X0) != 'c$uOption$uOoption$uONone'(X1) ).
fof(fact_WT_OBody,axiom,
! [X0] :
( hAPP('c$uCom$uObody',X0) != 'c$uOption$uOoption$uONone'('tc$uCom$uOcom')
=> hBOOL(hAPP('c$uCom$uOWT',hAPP('c$uCom$uOcom$uOBODY',X0))) ) ).
fof(conj_0,hypothesis,
'c$uHoare$u$uMirabelle$uOstate$u$unot$u$usingleton' ).
fof(conj_1,hypothesis,
'c$uCom$uOWT$u$ubodies' ).
fof(conj_3,hypothesis,
hAPP('c$uCom$uObody','v$upn') = hAPP('c$uOption$uOoption$uOSome'('tc$uCom$uOcom'),'v$uy') ).
fof(conj_5,conjecture,
'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('tc$uCom$uOstate','c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('tc$uCom$uOstate'),'tc$uHOL$uObool')),hAPP(hAPP('c$uSet$uOinsert'('tc$uHoare$u$uMirabelle$uOtriple'('tc$uCom$uOstate')),hAPP('c$uHoare$u$uMirabelle$uOMGT',hAPP('c$uCom$uOcom$uOBODY','v$upn'))),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('tc$uCom$uOstate'),'tc$uHOL$uObool')))) ).
fof(negated_conjecture,negated_conjecture,
~ 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('tc$uCom$uOstate','c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('tc$uCom$uOstate'),'tc$uHOL$uObool')),hAPP(hAPP('c$uSet$uOinsert'('tc$uHoare$u$uMirabelle$uOtriple'('tc$uCom$uOstate')),hAPP('c$uHoare$u$uMirabelle$uOMGT',hAPP('c$uCom$uOcom$uOBODY','v$upn'))),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('tc$uCom$uOstate'),'tc$uHOL$uObool')))),
inference(negate_conjecture,[status(cth)],[conj_5]) ).
cnf(c3,plain,
( 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('tc$uCom$uOstate','c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('tc$uCom$uOstate'),'tc$uHOL$uObool')),hAPP(hAPP('c$uSet$uOinsert'('tc$uHoare$u$uMirabelle$uOtriple'('tc$uCom$uOstate')),hAPP('c$uHoare$u$uMirabelle$uOMGT',X0)),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('tc$uCom$uOstate'),'tc$uHOL$uObool'))))
| ~ hBOOL(hAPP('c$uCom$uOWT',X0))
| ~ 'c$uCom$uOWT$u$ubodies'
| ~ 'c$uHoare$u$uMirabelle$uOstate$u$unot$u$usingleton' ),
inference(clausification,[status(esa)],[fact_MGF]) ).
cnf(c484,plain,
hAPP('c$uOption$uOoption$uOSome'(X0),X1) != 'c$uOption$uOoption$uONone'(X0),
inference(clausification,[status(esa)],[fact_option_Osimps_I3_J]) ).
cnf(c505,plain,
( hBOOL(hAPP('c$uCom$uOWT',hAPP('c$uCom$uOcom$uOBODY',X0)))
| hAPP('c$uCom$uObody',X0) = 'c$uOption$uOoption$uONone'('tc$uCom$uOcom') ),
inference(clausification,[status(esa)],[fact_WT_OBody]) ).
cnf(c4124,plain,
'c$uHoare$u$uMirabelle$uOstate$u$unot$u$usingleton',
inference(clausification,[status(esa)],[conj_0]) ).
cnf(c4125,plain,
'c$uCom$uOWT$u$ubodies',
inference(clausification,[status(esa)],[conj_1]) ).
cnf(c4126,plain,
hAPP('c$uCom$uObody','v$upn') = hAPP('c$uOption$uOoption$uOSome'('tc$uCom$uOcom'),'v$uy'),
inference(clausification,[status(esa)],[conj_3]) ).
cnf(c4128,plain,
~ 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('tc$uCom$uOstate','c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('tc$uCom$uOstate'),'tc$uHOL$uObool')),hAPP(hAPP('c$uSet$uOinsert'('tc$uHoare$u$uMirabelle$uOtriple'('tc$uCom$uOstate')),hAPP('c$uHoare$u$uMirabelle$uOMGT',hAPP('c$uCom$uOcom$uOBODY','v$upn'))),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('tc$uCom$uOstate'),'tc$uHOL$uObool')))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ 'c$uCom$uOWT$u$ubodies'
| ~ hBOOL(hAPP('c$uCom$uOWT',X0))
| 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('tc$uCom$uOstate','c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('tc$uCom$uOstate'),'tc$uHOL$uObool')),hAPP(hAPP('c$uSet$uOinsert'('tc$uHoare$u$uMirabelle$uOtriple'('tc$uCom$uOstate')),hAPP('c$uHoare$u$uMirabelle$uOMGT',X0)),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('tc$uCom$uOstate'),'tc$uHOL$uObool')))) ),
inference(resolution,[status(thm)],[c4124,c3]) ).
cnf(d1,plain,
( ~ hBOOL(hAPP('c$uCom$uOWT',X0))
| 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('tc$uCom$uOstate','c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('tc$uCom$uOstate'),'tc$uHOL$uObool')),hAPP(hAPP('c$uSet$uOinsert'('tc$uHoare$u$uMirabelle$uOtriple'('tc$uCom$uOstate')),hAPP('c$uHoare$u$uMirabelle$uOMGT',X0)),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('tc$uCom$uOstate'),'tc$uHOL$uObool')))) ),
inference(resolution,[status(thm)],[c4125,d0]) ).
cnf(d2,plain,
~ hBOOL(hAPP('c$uCom$uOWT',hAPP('c$uCom$uOcom$uOBODY','v$upn'))),
inference(resolution,[status(thm)],[c4128,d1]) ).
cnf(d3,plain,
hAPP('c$uCom$uObody','v$upn') = 'c$uOption$uOoption$uONone'('tc$uCom$uOcom'),
inference(resolution,[status(thm)],[c505,d2]) ).
cnf(d4,plain,
hAPP('c$uCom$uObody','v$upn') != 'c$uOption$uOoption$uONone'('tc$uCom$uOcom'),
inference(superposition,[status(thm)],[c4126,c484]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[d4,d3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWW387+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.44 % Computer : n014.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Sat Sep 26 15:47:47 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 120.03/22.56 % SZS status Theorem for theBenchmark.p
% 120.03/22.56 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------