%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWW312+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 : n018.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 09:11:40 AM UTC 2026
% Result : Theorem 16.61s 16.00s
% Output : CNFRefutation 16.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 9 unt; 0 def)
% Number of atoms : 17 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 10 ( 5 ~; 3 |; 0 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 9 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_hoare__derivs_Oinsert,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)),X1),'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,X0)
=> 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'(X3,X2,hAPP(hAPP('c$uSet$uOinsert'('tc$uHoare$u$uMirabelle$uOtriple'(X3)),X1),X0)) ) ) ).
fof(conj_3,hypothesis,
'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('t$ua','v$uGa',hAPP(hAPP('c$uSet$uOinsert'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua')),'v$ut'),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua'),'tc$uHOL$uObool')))) ).
fof(conj_4,hypothesis,
'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('t$ua','v$uGa','v$uts') ).
fof(conj_5,conjecture,
'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('t$ua','v$uGa',hAPP(hAPP('c$uSet$uOinsert'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua')),'v$ut'),'v$uts')) ).
fof(negated_conjecture,negated_conjecture,
~ 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('t$ua','v$uGa',hAPP(hAPP('c$uSet$uOinsert'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua')),'v$ut'),'v$uts')),
inference(negate_conjecture,[status(cth)],[conj_5]) ).
cnf(c6,plain,
( ~ 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'(X0,X1,X3)
| 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'(X0,X1,hAPP(hAPP('c$uSet$uOinsert'('tc$uHoare$u$uMirabelle$uOtriple'(X0)),X2),X3))
| ~ 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'(X0,X1,hAPP(hAPP('c$uSet$uOinsert'('tc$uHoare$u$uMirabelle$uOtriple'(X0)),X2),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'(X0),'tc$uHOL$uObool')))) ),
inference(clausification,[status(esa)],[fact_hoare__derivs_Oinsert]) ).
cnf(c105,plain,
'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('t$ua','v$uGa',hAPP(hAPP('c$uSet$uOinsert'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua')),'v$ut'),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua'),'tc$uHOL$uObool')))),
inference(clausification,[status(esa)],[conj_3]) ).
cnf(c106,plain,
'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('t$ua','v$uGa','v$uts'),
inference(clausification,[status(esa)],[conj_4]) ).
cnf(c107,plain,
~ 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('t$ua','v$uGa',hAPP(hAPP('c$uSet$uOinsert'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua')),'v$ut'),'v$uts')),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('t$ua','v$uGa',hAPP(hAPP('c$uSet$uOinsert'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua')),X0),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua'),'tc$uHOL$uObool'))))
| 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('t$ua','v$uGa',hAPP(hAPP('c$uSet$uOinsert'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua')),X0),'v$uts')) ),
inference(resolution,[status(thm)],[c6,c106]) ).
cnf(d1,plain,
'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('t$ua','v$uGa',hAPP(hAPP('c$uSet$uOinsert'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua')),'v$ut'),'v$uts')),
inference(resolution,[status(thm)],[d0,c105]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[c107,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW312+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
% 0.07/0.36 % Computer : n018.cluster.edu
% 0.07/0.36 % Model : x86_64 x86_64
% 0.07/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.36 % Memory : 8046.5625MB
% 0.07/0.36 % OS : Linux 6.8.0-71-generic
% 0.07/0.36 % CPULimit : 300
% 0.07/0.36 % WCLimit : 300
% 0.07/0.36 % DateTime : Sat Sep 26 15:40:23 UTC 2026
% 0.07/0.37 % CPUTime :
% 0.07/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.61/16.00 % SZS status Theorem for theBenchmark.p
% 16.61/16.00 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------