%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV840-1 : 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 : n019.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 24.52s 21.62s
% Output : CNFRefutation 24.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of clauses : 21 ( 16 unt; 0 nHn; 12 RR)
% Number of literals : 28 ( 5 equ; 11 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 9 con; 0-3 aty)
% Number of variables : 37 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Collect__def_0,axiom,
'c$uCollect'(X0,X1) = X0 ).
cnf(cls_subset__insertI_0,axiom,
'c$ulessequals'(X0,'c$uSet$uOinsert'(X1,X0,X2),'tc$ufun'(X2,'tc$ubool')) ).
cnf(cls_asm_0,axiom,
( ~ 'c$ulessequals'(X1,X0,'tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'(X2),'tc$ubool'))
| 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'(X0,X1,X2) ) ).
cnf(cls_singleton__conv2_0,axiom,
'c$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_cut_0,axiom,
( ~ 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'(X3,X1,X2)
| ~ 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'(X0,X3,X2)
| 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'(X0,X1,X2) ) ).
cnf(cls_conjecture_0,negated_conjecture,
'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('v$uG','c$uSet$uOinsert'(hAPP(hAPP(hAPP('c$uHoare$u$uMirabelle$uOtriple$uOtriple'('t$ua'),'v$uP'),hAPP('c$uOption$uOthe'('tc$uCom$uOcom'),hAPP('c$uCom$uObody','v$upn'))),'v$uQ'),'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(cls_conjecture_1,negated_conjecture,
~ 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('c$uSet$uOinsert'(hAPP(hAPP(hAPP('c$uHoare$u$uMirabelle$uOtriple$uOtriple'('t$ua'),'v$uP'),hAPP('c$uCom$uOcom$uOBODY','v$upn')),'v$uQ'),'v$uG','tc$uHoare$u$uMirabelle$uOtriple'('t$ua')),'c$uSet$uOinsert'(hAPP(hAPP(hAPP('c$uHoare$u$uMirabelle$uOtriple$uOtriple'('t$ua'),'v$uP'),hAPP('c$uOption$uOthe'('tc$uCom$uOcom'),hAPP('c$uCom$uObody','v$upn'))),'v$uQ'),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua'),'tc$ubool')),'tc$uHoare$u$uMirabelle$uOtriple'('t$ua')),'t$ua') ).
cnf(c90,plain,
'c$uCollect'(X0,X1) = X0,
inference(clausification,[status(esa)],[cls_Collect__def_0]) ).
cnf(c224,plain,
'c$ulessequals'(X0,'c$uSet$uOinsert'(X1,X0,X2),'tc$ufun'(X2,'tc$ubool')),
inference(clausification,[status(esa)],[cls_subset__insertI_0]) ).
cnf(c355,plain,
( ~ 'c$ulessequals'(X1,X0,'tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'(X2),'tc$ubool'))
| 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'(X0,X1,X2) ),
inference(clausification,[status(esa)],[cls_asm_0]) ).
cnf(c370,plain,
'c$uSet$uOinsert'(X0,'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'(X1,'tc$ubool')),X1) = 'c$uCollect'(hAPP('c$ufequal'(X1),X0),X1),
inference(clausification,[status(esa)],[cls_singleton__conv2_0]) ).
cnf(c419,plain,
( ~ 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'(X1,X3,X2)
| 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'(X0,X3,X2)
| ~ 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'(X0,X1,X2) ),
inference(clausification,[status(esa)],[cls_cut_0]) ).
cnf(c439,plain,
'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('v$uG','c$uSet$uOinsert'(hAPP(hAPP(hAPP('c$uHoare$u$uMirabelle$uOtriple$uOtriple'('t$ua'),'v$uP'),hAPP('c$uOption$uOthe'('tc$uCom$uOcom'),hAPP('c$uCom$uObody','v$upn'))),'v$uQ'),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua'),'tc$ubool')),'tc$uHoare$u$uMirabelle$uOtriple'('t$ua')),'t$ua'),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c440,plain,
~ 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('c$uSet$uOinsert'(hAPP(hAPP(hAPP('c$uHoare$u$uMirabelle$uOtriple$uOtriple'('t$ua'),'v$uP'),hAPP('c$uCom$uOcom$uOBODY','v$upn')),'v$uQ'),'v$uG','tc$uHoare$u$uMirabelle$uOtriple'('t$ua')),'c$uSet$uOinsert'(hAPP(hAPP(hAPP('c$uHoare$u$uMirabelle$uOtriple$uOtriple'('t$ua'),'v$uP'),hAPP('c$uOption$uOthe'('tc$uCom$uOcom'),hAPP('c$uCom$uObody','v$upn'))),'v$uQ'),'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,
'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('c$uSet$uOinsert'(X0,X1,'tc$uHoare$u$uMirabelle$uOtriple'(X2)),X1,X2),
inference(resolution,[status(thm)],[c355,c224]) ).
cnf(d1,plain,
( 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('c$uSet$uOinsert'(X3,X0,'tc$uHoare$u$uMirabelle$uOtriple'(X2)),X1,X2)
| ~ 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'(X0,X1,X2) ),
inference(resolution,[status(thm)],[c419,d0]) ).
cnf(d2,plain,
'c$uSet$uOinsert'(X1,'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'(X0,'tc$ubool')),X0) = hAPP('c$ufequal'(X0),X1),
inference(demodulation,[status(thm)],[c370,c90]) ).
cnf(d3,plain,
~ 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('c$uSet$uOinsert'(hAPP(hAPP(hAPP('c$uHoare$u$uMirabelle$uOtriple$uOtriple'('t$ua'),'v$uP'),hAPP('c$uCom$uOcom$uOBODY','v$upn')),'v$uQ'),'v$uG','tc$uHoare$u$uMirabelle$uOtriple'('t$ua')),hAPP('c$ufequal'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua')),hAPP(hAPP(hAPP('c$uHoare$u$uMirabelle$uOtriple$uOtriple'('t$ua'),'v$uP'),hAPP('c$uOption$uOthe'('tc$uCom$uOcom'),hAPP('c$uCom$uObody','v$upn'))),'v$uQ')),'t$ua'),
inference(demodulation,[status(thm)],[c440,d2]) ).
cnf(d4,plain,
~ 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('v$uG',hAPP('c$ufequal'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua')),hAPP(hAPP(hAPP('c$uHoare$u$uMirabelle$uOtriple$uOtriple'('t$ua'),'v$uP'),hAPP('c$uOption$uOthe'('tc$uCom$uOcom'),hAPP('c$uCom$uObody','v$upn'))),'v$uQ')),'t$ua'),
inference(resolution,[status(thm)],[d3,d1]) ).
cnf(d5,plain,
'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('v$uG',hAPP('c$ufequal'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua')),hAPP(hAPP(hAPP('c$uHoare$u$uMirabelle$uOtriple$uOtriple'('t$ua'),'v$uP'),hAPP('c$uOption$uOthe'('tc$uCom$uOcom'),hAPP('c$uCom$uObody','v$upn'))),'v$uQ')),'t$ua'),
inference(demodulation,[status(thm)],[c439,d2]) ).
cnf(d6,plain,
$false,
inference(resolution,[status(thm)],[d5,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV840-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n019.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 26 15:02:49 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 24.52/21.62 % SZS status Unsatisfiable for theBenchmark.p
% 24.52/21.62 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------