%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWW390+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 : n012.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 58.59s 14.21s
% Output : CNFRefutation 58.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 2
% Syntax : Number of formulae : 6 ( 4 unt; 0 def)
% Number of atoms : 8 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 4 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 9 ( 3 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 18 ( 5 sgn 4 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_falseE,axiom,
! [X0,X1,X2,X3] : '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$uObool'),X3),hAPP('c$uCOMBK'('tc$uHOL$uObool','tc$uCom$uOstate'),'c$ufFalse'))),X1),X0)),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'(X3),'tc$uHOL$uObool')))) ).
fof(conj_0,conjecture,
( ? [X0,X1] : 'v$uP'(X0,X1)
=> ? [X2,X3] : '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$ua'),X2),'v$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] : '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$ua'),X2),'v$uc'),X3)),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua'),'tc$uHOL$uObool')))) ),
inference(negate_conjecture,[status(cth)],[conj_0]) ).
cnf(c1154,plain,
'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'(X0,X1,hAPP(hAPP('c$uSet$uOinsert'('tc$uHoare$u$uMirabelle$uOtriple'(X0)),hAPP(hAPP(hAPP('c$uHoare$u$uMirabelle$uOtriple$uOtriple'(X0),hAPP('c$uCOMBK'('tc$ufun'('tc$uCom$uOstate','tc$uHOL$uObool'),X0),hAPP('c$uCOMBK'('tc$uHOL$uObool','tc$uCom$uOstate'),'c$ufFalse'))),X2),X3)),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'(X0),'tc$uHOL$uObool')))),
inference(clausification,[status(esa)],[fact_falseE]) ).
cnf(c1615,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$ua'),X0),'v$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,
$false,
inference(resolution,[status(thm)],[c1154,c1615]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWW390+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.02 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.04/0.31 % Computer : n012.cluster.edu
% 0.04/0.31 % Model : x86_64 x86_64
% 0.04/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.31 % Memory : 8046.5625MB
% 0.04/0.31 % OS : Linux 6.8.0-71-generic
% 0.04/0.31 % CPULimit : 300
% 0.04/0.31 % WCLimit : 300
% 0.04/0.31 % DateTime : Sat Sep 26 15:48:05 UTC 2026
% 0.04/0.32 % CPUTime :
% 0.04/0.32 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 58.59/14.21 % SZS status Theorem for theBenchmark.p
% 58.59/14.21 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------