%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV842-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.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 09:04:48 AM UTC 2026
% Result : Unsatisfiable 34.20s 9.80s
% Output : CNFRefutation 34.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 8 ( 8 unt; 0 nHn; 4 RR)
% Number of literals : 8 ( 2 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 9 con; 0-5 aty)
% Number of variables : 10 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_empty_0,axiom,
'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'(X0,'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'(X1),'tc$ubool')),X1) ).
cnf(cls_image__empty_0,axiom,
'c$uSet$uOimage'(X0,'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'(X1,'tc$ubool')),X1,X2) = 'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'(X2,'tc$ubool')) ).
cnf(cls_conjecture_1,negated_conjecture,
~ 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('v$uG','c$uSet$uOimage'('c$uCOMBS'('c$uCOMBS'(hAPP('c$uCOMBB'('c$uHoare$u$uMirabelle$uOtriple$uOtriple'('t$ub'),'tc$ufun'('t$ub','tc$ufun'('tc$uCom$uOstate','tc$ubool')),'tc$ufun'('tc$uCom$uOcom','tc$ufun'('tc$ufun'('t$ub','tc$ufun'('tc$uCom$uOstate','tc$ubool')),'tc$uHoare$u$uMirabelle$uOtriple'('t$ub'))),'t$ua'),'v$uP'),'v$uc0','t$ua','tc$uCom$uOcom','tc$ufun'('tc$ufun'('t$ub','tc$ufun'('tc$uCom$uOstate','tc$ubool')),'tc$uHoare$u$uMirabelle$uOtriple'('t$ub'))),'v$uQ','t$ua','tc$ufun'('t$ub','tc$ufun'('tc$uCom$uOstate','tc$ubool')),'tc$uHoare$u$uMirabelle$uOtriple'('t$ub')),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('t$ua','tc$ubool')),'t$ua','tc$uHoare$u$uMirabelle$uOtriple'('t$ub')),'t$ub') ).
cnf(c560,plain,
'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'(X0,'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'(X1),'tc$ubool')),X1),
inference(clausification,[status(esa)],[cls_empty_0]) ).
cnf(c569,plain,
'c$uSet$uOimage'(X0,'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'(X1,'tc$ubool')),X1,X2) = 'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'(X2,'tc$ubool')),
inference(clausification,[status(esa)],[cls_image__empty_0]) ).
cnf(c575,plain,
~ 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('v$uG','c$uSet$uOimage'('c$uCOMBS'('c$uCOMBS'(hAPP('c$uCOMBB'('c$uHoare$u$uMirabelle$uOtriple$uOtriple'('t$ub'),'tc$ufun'('t$ub','tc$ufun'('tc$uCom$uOstate','tc$ubool')),'tc$ufun'('tc$uCom$uOcom','tc$ufun'('tc$ufun'('t$ub','tc$ufun'('tc$uCom$uOstate','tc$ubool')),'tc$uHoare$u$uMirabelle$uOtriple'('t$ub'))),'t$ua'),'v$uP'),'v$uc0','t$ua','tc$uCom$uOcom','tc$ufun'('tc$ufun'('t$ub','tc$ufun'('tc$uCom$uOstate','tc$ubool')),'tc$uHoare$u$uMirabelle$uOtriple'('t$ub'))),'v$uQ','t$ua','tc$ufun'('t$ub','tc$ufun'('tc$uCom$uOstate','tc$ubool')),'tc$uHoare$u$uMirabelle$uOtriple'('t$ub')),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('t$ua','tc$ubool')),'t$ua','tc$uHoare$u$uMirabelle$uOtriple'('t$ub')),'t$ub'),
inference(clausification,[status(esa)],[cls_conjecture_1]) ).
cnf(d0,plain,
~ 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('v$uG','c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('t$ub'),'tc$ubool')),'t$ub'),
inference(demodulation,[status(thm)],[c575,c569]) ).
cnf(d1,plain,
$false,
inference(resolution,[status(thm)],[c560,d0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV842-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/5.38 % Computer : n006.cluster.edu
% 0.11/5.38 % Model : x86_64 x86_64
% 0.11/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.38 % Memory : 8046.5625MB
% 0.11/5.38 % OS : Linux 6.8.0-71-generic
% 0.11/5.38 % CPULimit : 300
% 0.11/5.38 % WCLimit : 300
% 0.11/5.38 % DateTime : Sat Sep 26 15:03:01 UTC 2026
% 0.11/5.38 % CPUTime :
% 0.11/5.39 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 34.20/9.80 % SZS status Unsatisfiable for theBenchmark.p
% 34.20/9.80 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------