%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV910-1 : 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 : n015.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 09:04:54 AM UTC 2026
% Result : Unsatisfiable 127.73s 41.33s
% Output : CNFRefutation 127.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of clauses : 21 ( 21 unt; 0 nHn; 4 RR)
% Number of literals : 21 ( 12 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 6 con; 0-4 aty)
% Number of variables : 47 ( 23 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Collect__def_0,axiom,
'c$uCollect'(X0,X1) = X0 ).
cnf(cls_singleton__conv_0,axiom,
'c$uCollect'(hAPP('c$uCOMBC'('c$ufequal'(X0),X0,X0,'tc$ubool'),X1),X0) = hAPP(hAPP('c$uSet$uOinsert'(X0),X1),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'(X0,'tc$ubool'))) ).
cnf(cls_empty__def_0,axiom,
'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'(X0,'tc$ubool')) = 'c$uCollect'('c$uCOMBK'('c$uFalse','tc$ubool',X0),X0) ).
cnf(cls_falseE_0,axiom,
'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'(X0,hAPP(hAPP('c$uSet$uOinsert'('tc$uHoare$u$uMirabelle$uOtriple'(X1)),'c$uHoare$u$uMirabelle$uOtriple$uOtriple'('c$uCOMBK'('c$uCOMBK'('c$uFalse','tc$ubool','tc$uCom$uOstate'),'tc$ufun'('tc$uCom$uOstate','tc$ubool'),X1),X2,X3,X1)),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'(X1),'tc$ubool'))),X1) ).
cnf(cls_singleton__conv2_0,axiom,
'c$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_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$uOtriple'(X0,'v$uc',X1,'t$ua')),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua'),'tc$ubool'))),'t$ua') ).
cnf(c99,plain,
'c$uCollect'(X0,X1) = X0,
inference(clausification,[status(esa)],[cls_Collect__def_0]) ).
cnf(c256,plain,
'c$uCollect'(hAPP('c$uCOMBC'('c$ufequal'(X0),X0,X0,'tc$ubool'),X1),X0) = hAPP(hAPP('c$uSet$uOinsert'(X0),X1),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'(X0,'tc$ubool'))),
inference(clausification,[status(esa)],[cls_singleton__conv_0]) ).
cnf(c273,plain,
'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'(X0,'tc$ubool')) = 'c$uCollect'('c$uCOMBK'('c$uFalse','tc$ubool',X0),X0),
inference(clausification,[status(esa)],[cls_empty__def_0]) ).
cnf(c398,plain,
'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'(X0,hAPP(hAPP('c$uSet$uOinsert'('tc$uHoare$u$uMirabelle$uOtriple'(X1)),'c$uHoare$u$uMirabelle$uOtriple$uOtriple'('c$uCOMBK'('c$uCOMBK'('c$uFalse','tc$ubool','tc$uCom$uOstate'),'tc$ufun'('tc$uCom$uOstate','tc$ubool'),X1),X2,X3,X1)),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'(X1),'tc$ubool'))),X1),
inference(clausification,[status(esa)],[cls_falseE_0]) ).
cnf(c403,plain,
'c$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(c470,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'),
inference(clausification,[status(esa)],[cls_conjecture_1]) ).
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)],[c403,c99]) ).
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'(X0,'v$uc',X1,'t$ua')),'t$ua'),
inference(demodulation,[status(thm)],[c470,d0]) ).
cnf(d2,plain,
hAPP('c$uCOMBC'('c$ufequal'(X0),X0,X0,'tc$ubool'),X1) = hAPP(hAPP('c$uSet$uOinsert'(X0),X1),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'(X0,'tc$ubool'))),
inference(demodulation,[status(thm)],[c256,c99]) ).
cnf(d3,plain,
hAPP('c$uCOMBC'('c$ufequal'(X0),X0,X0,'tc$ubool'),X1) = hAPP('c$ufequal'(X0),X1),
inference(demodulation,[status(thm)],[d2,d0]) ).
cnf(d4,plain,
'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'(X0,'tc$ubool')) = 'c$uCOMBK'('c$uFalse','tc$ubool',X0),
inference(demodulation,[status(thm)],[c273,c99]) ).
cnf(d5,plain,
'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'(X0,hAPP(hAPP('c$uSet$uOinsert'('tc$uHoare$u$uMirabelle$uOtriple'(X1)),'c$uHoare$u$uMirabelle$uOtriple$uOtriple'('c$uCOMBK'('c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uCom$uOstate','tc$ubool')),'tc$ufun'('tc$uCom$uOstate','tc$ubool'),X1),X2,X3,X1)),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'(X1),'tc$ubool'))),X1),
inference(demodulation,[status(thm)],[c398,d4]) ).
cnf(d6,plain,
'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'(X3,hAPP('c$uCOMBC'('c$ufequal'('tc$uHoare$u$uMirabelle$uOtriple'(X0)),'tc$uHoare$u$uMirabelle$uOtriple'(X0),'tc$uHoare$u$uMirabelle$uOtriple'(X0),'tc$ubool'),'c$uHoare$u$uMirabelle$uOtriple$uOtriple'('c$uCOMBK'('c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uCom$uOstate','tc$ubool')),'tc$ufun'('tc$uCom$uOstate','tc$ubool'),X0),X1,X2,X0)),X0),
inference(superposition,[status(thm)],[d2,d5]) ).
cnf(d7,plain,
'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'(X3,hAPP('c$ufequal'('tc$uHoare$u$uMirabelle$uOtriple'(X0)),'c$uHoare$u$uMirabelle$uOtriple$uOtriple'('c$uCOMBK'('c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uCom$uOstate','tc$ubool')),'tc$ufun'('tc$uCom$uOstate','tc$ubool'),X0),X1,X2,X0)),X0),
inference(demodulation,[status(thm)],[d6,d3]) ).
cnf(d8,plain,
$false,
inference(resolution,[status(thm)],[d7,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV910-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n015.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 15:12:43 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 127.73/41.33 % SZS status Unsatisfiable for theBenchmark.p
% 127.73/41.33 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------