%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV911-1 : 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 : n016.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 09:04:55 AM UTC 2026
% Result : Unsatisfiable 68.39s 11.18s
% Output : CNFRefutation 68.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 30 ( 17 unt; 2 nHn; 25 RR)
% Number of literals : 46 ( 5 equ; 24 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 10 con; 0-4 aty)
% Number of variables : 33 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Collect__def_0,axiom,
'c$uCollect'(X0,X1) = X0 ).
cnf(cls_singleton__conv2_0,axiom,
'c$uCollect'(hAPP('c$ufequal'(X0),X1),X0) = hAPP(hAPP('c$uSet$uOinsert'(X0),X1),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'(X0,'tc$ubool'))) ).
cnf(cls_conjecture_0,negated_conjecture,
'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('v$uG',hAPP(hAPP('c$uSet$uOinsert'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua')),'c$uHoare$u$uMirabelle$uOtriple$uOtriple'('v$uP','v$uc','v$uQ','t$ua')),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua'),'tc$ubool'))),'t$ua') ).
cnf(cls_conjecture_1,negated_conjecture,
'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('v$uG',hAPP(hAPP('c$uSet$uOinsert'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua')),'c$uHoare$u$uMirabelle$uOtriple$uOtriple'('v$uP$uH','v$uc','v$uQ$uH','t$ua')),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua'),'tc$ubool'))),'t$ua') ).
cnf(cls_conjecture_2,negated_conjecture,
( hBOOL(hAPP(hAPP('v$uP','v$ux'),'v$uxa'))
| hBOOL(hAPP(hAPP('v$uP$uH','v$ux'),'v$uxa')) ) ).
cnf(cls_conjecture_3,negated_conjecture,
( ~ 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('v$uG',hAPP(hAPP('c$uSet$uOinsert'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua')),'c$uHoare$u$uMirabelle$uOtriple$uOtriple'(X0,'v$uc',X1,'t$ua')),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua'),'tc$ubool'))),'t$ua')
| ~ hBOOL(hAPP(hAPP('v$uQ','v$ux'),'v$uxb'(X0,X1))) ) ).
cnf(cls_conjecture_4,negated_conjecture,
( ~ 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('v$uG',hAPP(hAPP('c$uSet$uOinsert'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua')),'c$uHoare$u$uMirabelle$uOtriple$uOtriple'(X0,'v$uc',X1,'t$ua')),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua'),'tc$ubool'))),'t$ua')
| ~ hBOOL(hAPP(hAPP('v$uQ$uH','v$ux'),'v$uxb'(X0,X1))) ) ).
cnf(cls_conjecture_5,negated_conjecture,
( ~ 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('v$uG',hAPP(hAPP('c$uSet$uOinsert'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua')),'c$uHoare$u$uMirabelle$uOtriple$uOtriple'(X2,'v$uc',X0,'t$ua')),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua'),'tc$ubool'))),'t$ua')
| ~ hBOOL(hAPP(hAPP(X2,X1),'v$uxa'))
| hBOOL(hAPP(hAPP(X0,X1),'v$uxb'(X2,X0))) ) ).
cnf(c202,plain,
'c$uCollect'(X0,X1) = X0,
inference(clausification,[status(esa)],[cls_Collect__def_0]) ).
cnf(c460,plain,
'c$uCollect'(hAPP('c$ufequal'(X0),X1),X0) = hAPP(hAPP('c$uSet$uOinsert'(X0),X1),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'(X0,'tc$ubool'))),
inference(clausification,[status(esa)],[cls_singleton__conv2_0]) ).
cnf(c527,plain,
'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('v$uG',hAPP(hAPP('c$uSet$uOinsert'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua')),'c$uHoare$u$uMirabelle$uOtriple$uOtriple'('v$uP','v$uc','v$uQ','t$ua')),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua'),'tc$ubool'))),'t$ua'),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c528,plain,
'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('v$uG',hAPP(hAPP('c$uSet$uOinsert'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua')),'c$uHoare$u$uMirabelle$uOtriple$uOtriple'('v$uP$uH','v$uc','v$uQ$uH','t$ua')),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua'),'tc$ubool'))),'t$ua'),
inference(clausification,[status(esa)],[cls_conjecture_1]) ).
cnf(c529,plain,
( hBOOL(hAPP(hAPP('v$uP','v$ux'),'v$uxa'))
| hBOOL(hAPP(hAPP('v$uP$uH','v$ux'),'v$uxa')) ),
inference(clausification,[status(esa)],[cls_conjecture_2]) ).
cnf(c530,plain,
( ~ 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('v$uG',hAPP(hAPP('c$uSet$uOinsert'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua')),'c$uHoare$u$uMirabelle$uOtriple$uOtriple'(X0,'v$uc',X1,'t$ua')),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua'),'tc$ubool'))),'t$ua')
| ~ hBOOL(hAPP(hAPP('v$uQ','v$ux'),'v$uxb'(X0,X1))) ),
inference(clausification,[status(esa)],[cls_conjecture_3]) ).
cnf(c531,plain,
( ~ 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('v$uG',hAPP(hAPP('c$uSet$uOinsert'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua')),'c$uHoare$u$uMirabelle$uOtriple$uOtriple'(X0,'v$uc',X1,'t$ua')),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua'),'tc$ubool'))),'t$ua')
| ~ hBOOL(hAPP(hAPP('v$uQ$uH','v$ux'),'v$uxb'(X0,X1))) ),
inference(clausification,[status(esa)],[cls_conjecture_4]) ).
cnf(c532,plain,
( ~ 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('v$uG',hAPP(hAPP('c$uSet$uOinsert'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua')),'c$uHoare$u$uMirabelle$uOtriple$uOtriple'(X2,'v$uc',X0,'t$ua')),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua'),'tc$ubool'))),'t$ua')
| ~ hBOOL(hAPP(hAPP(X2,X1),'v$uxa'))
| hBOOL(hAPP(hAPP(X0,X1),'v$uxb'(X2,X0))) ),
inference(clausification,[status(esa)],[cls_conjecture_5]) ).
cnf(d0,plain,
hAPP('c$ufequal'(X0),X1) = hAPP(hAPP('c$uSet$uOinsert'(X0),X1),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'(X0,'tc$ubool'))),
inference(demodulation,[status(thm)],[c460,c202]) ).
cnf(d1,plain,
'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('v$uG',hAPP('c$ufequal'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua')),'c$uHoare$u$uMirabelle$uOtriple$uOtriple'('v$uP','v$uc','v$uQ','t$ua')),'t$ua'),
inference(demodulation,[status(thm)],[c527,d0]) ).
cnf(d2,plain,
( ~ 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('v$uG',hAPP('c$ufequal'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua')),'c$uHoare$u$uMirabelle$uOtriple$uOtriple'(X0,'v$uc',X1,'t$ua')),'t$ua')
| ~ hBOOL(hAPP(hAPP('v$uQ','v$ux'),'v$uxb'(X0,X1))) ),
inference(demodulation,[status(thm)],[c530,d0]) ).
cnf(d3,plain,
~ hBOOL(hAPP(hAPP('v$uQ','v$ux'),'v$uxb'('v$uP','v$uQ'))),
inference(resolution,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
( ~ 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('v$uG',hAPP('c$ufequal'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua')),'c$uHoare$u$uMirabelle$uOtriple$uOtriple'(X0,'v$uc',X1,'t$ua')),'t$ua')
| ~ hBOOL(hAPP(hAPP(X0,X2),'v$uxa'))
| hBOOL(hAPP(hAPP(X1,X2),'v$uxb'(X0,X1))) ),
inference(demodulation,[status(thm)],[c532,d0]) ).
cnf(d5,plain,
( ~ hBOOL(hAPP(hAPP('v$uP',X0),'v$uxa'))
| hBOOL(hAPP(hAPP('v$uQ',X0),'v$uxb'('v$uP','v$uQ'))) ),
inference(resolution,[status(thm)],[d4,d1]) ).
cnf(d6,plain,
~ hBOOL(hAPP(hAPP('v$uP','v$ux'),'v$uxa')),
inference(resolution,[status(thm)],[d5,d3]) ).
cnf(d7,plain,
'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('v$uG',hAPP('c$ufequal'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua')),'c$uHoare$u$uMirabelle$uOtriple$uOtriple'('v$uP$uH','v$uc','v$uQ$uH','t$ua')),'t$ua'),
inference(demodulation,[status(thm)],[c528,d0]) ).
cnf(d8,plain,
( ~ 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('v$uG',hAPP('c$ufequal'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua')),'c$uHoare$u$uMirabelle$uOtriple$uOtriple'(X0,'v$uc',X1,'t$ua')),'t$ua')
| ~ hBOOL(hAPP(hAPP('v$uQ$uH','v$ux'),'v$uxb'(X0,X1))) ),
inference(demodulation,[status(thm)],[c531,d0]) ).
cnf(d9,plain,
~ hBOOL(hAPP(hAPP('v$uQ$uH','v$ux'),'v$uxb'('v$uP$uH','v$uQ$uH'))),
inference(resolution,[status(thm)],[d8,d7]) ).
cnf(d10,plain,
( ~ hBOOL(hAPP(hAPP('v$uP$uH',X0),'v$uxa'))
| hBOOL(hAPP(hAPP('v$uQ$uH',X0),'v$uxb'('v$uP$uH','v$uQ$uH'))) ),
inference(resolution,[status(thm)],[d4,d7]) ).
cnf(d11,plain,
~ hBOOL(hAPP(hAPP('v$uP$uH','v$ux'),'v$uxa')),
inference(resolution,[status(thm)],[d10,d9]) ).
cnf(d12,plain,
hBOOL(hAPP(hAPP('v$uP','v$ux'),'v$uxa')),
inference(resolution,[status(thm)],[d11,c529]) ).
cnf(d13,plain,
$false,
inference(resolution,[status(thm)],[d12,d6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV911-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.38 % Computer : n016.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sat Sep 26 15:14:01 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 68.39/11.18 % SZS status Unsatisfiable for theBenchmark.p
% 68.39/11.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------