%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV839-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.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 10.05s 7.66s
% Output : CNFRefutation 10.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 12 ( 12 unt; 0 nHn; 4 RR)
% Number of literals : 12 ( 5 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-4 aty)
% Number of variables : 19 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Collect__def_0,axiom,
'c$uCollect'(X0,X1) = X0 ).
cnf(cls_singleton__conv2_0,axiom,
'c$uCollect'(hAPP('c$ufequal'(X0),X1),X0) = 'c$uSet$uOinsert'(X1,'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'(X0,'tc$ubool')),X0) ).
cnf(cls_hoare__derivs_OSkip_0,axiom,
'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'(X0,'c$uSet$uOinsert'('c$uHoare$u$uMirabelle$uOtriple$uOtriple'(X1,'c$uCom$uOcom$uOSKIP',X1,X2),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'(X2),'tc$ubool')),'tc$uHoare$u$uMirabelle$uOtriple'(X2)),X2) ).
cnf(cls_conjecture_1,negated_conjecture,
~ 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('v$uGa','c$uSet$uOinsert'('c$uHoare$u$uMirabelle$uOtriple$uOtriple'('v$uP','c$uCom$uOcom$uOSKIP','v$uP','t$ua'),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua'),'tc$ubool')),'tc$uHoare$u$uMirabelle$uOtriple'('t$ua')),'t$ua') ).
cnf(c286,plain,
'c$uCollect'(X0,X1) = X0,
inference(clausification,[status(esa)],[cls_Collect__def_0]) ).
cnf(c321,plain,
'c$uCollect'(hAPP('c$ufequal'(X0),X1),X0) = 'c$uSet$uOinsert'(X1,'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'(X0,'tc$ubool')),X0),
inference(clausification,[status(esa)],[cls_singleton__conv2_0]) ).
cnf(c385,plain,
'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'(X0,'c$uSet$uOinsert'('c$uHoare$u$uMirabelle$uOtriple$uOtriple'(X1,'c$uCom$uOcom$uOSKIP',X1,X2),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'(X2),'tc$ubool')),'tc$uHoare$u$uMirabelle$uOtriple'(X2)),X2),
inference(clausification,[status(esa)],[cls_hoare__derivs_OSkip_0]) ).
cnf(c419,plain,
~ 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('v$uGa','c$uSet$uOinsert'('c$uHoare$u$uMirabelle$uOtriple$uOtriple'('v$uP','c$uCom$uOcom$uOSKIP','v$uP','t$ua'),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua'),'tc$ubool')),'tc$uHoare$u$uMirabelle$uOtriple'('t$ua')),'t$ua'),
inference(clausification,[status(esa)],[cls_conjecture_1]) ).
cnf(d0,plain,
hAPP('c$ufequal'(X0),X1) = 'c$uSet$uOinsert'(X1,'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'(X0,'tc$ubool')),X0),
inference(demodulation,[status(thm)],[c321,c286]) ).
cnf(d1,plain,
~ 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('v$uGa',hAPP('c$ufequal'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua')),'c$uHoare$u$uMirabelle$uOtriple$uOtriple'('v$uP','c$uCom$uOcom$uOSKIP','v$uP','t$ua')),'t$ua'),
inference(demodulation,[status(thm)],[c419,d0]) ).
cnf(d2,plain,
'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'(X2,hAPP('c$ufequal'('tc$uHoare$u$uMirabelle$uOtriple'(X1)),'c$uHoare$u$uMirabelle$uOtriple$uOtriple'(X0,'c$uCom$uOcom$uOSKIP',X0,X1)),X1),
inference(demodulation,[status(thm)],[c385,d0]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[d2,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV839-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.36 % Computer : n005.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8046.5625MB
% 0.12/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Sat Sep 26 15:02:47 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.05/7.66 % SZS status Unsatisfiable for theBenchmark.p
% 10.05/7.66 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------