%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV913-1 : 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 : n004.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 33.52s 4.68s
% Output : CNFRefutation 33.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of clauses : 15 ( 13 unt; 0 nHn; 7 RR)
% Number of literals : 17 ( 5 equ; 6 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 22 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Collect__def_0,axiom,
'c$uCollect'(X0,X1) = X0 ).
cnf(cls_equalityE_0,axiom,
'c$ulessequals'(X0,X0,'tc$ufun'(X1,'tc$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'('c$ufequal'(X0,X1),X1) = hAPP(hAPP('c$uSet$uOinsert'(X1),X0),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'(X1,'tc$ubool'))) ).
cnf(cls_conjecture_0,negated_conjecture,
~ 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'(hAPP(hAPP('c$uSet$uOinsert'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua')),'v$ut'),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua'),'tc$ubool'))),hAPP(hAPP('c$uSet$uOinsert'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua')),'v$ut'),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua'),'tc$ubool'))),'t$ua') ).
cnf(c102,plain,
'c$uCollect'(X0,X1) = X0,
inference(clausification,[status(esa)],[cls_Collect__def_0]) ).
cnf(c344,plain,
'c$ulessequals'(X0,X0,'tc$ufun'(X1,'tc$ubool')),
inference(clausification,[status(esa)],[cls_equalityE_0]) ).
cnf(c430,plain,
( ~ 'c$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(c449,plain,
'c$uCollect'('c$ufequal'(X0,X1),X1) = hAPP(hAPP('c$uSet$uOinsert'(X1),X0),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'(X1,'tc$ubool'))),
inference(clausification,[status(esa)],[cls_singleton__conv2_0]) ).
cnf(c494,plain,
~ 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'(hAPP(hAPP('c$uSet$uOinsert'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua')),'v$ut'),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua'),'tc$ubool'))),hAPP(hAPP('c$uSet$uOinsert'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua')),'v$ut'),'c$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(d0,plain,
'c$ufequal'(X0,X1) = hAPP(hAPP('c$uSet$uOinsert'(X1),X0),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'(X1,'tc$ubool'))),
inference(demodulation,[status(thm)],[c449,c102]) ).
cnf(d1,plain,
~ 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('c$ufequal'('v$ut','tc$uHoare$u$uMirabelle$uOtriple'('t$ua')),hAPP(hAPP('c$uSet$uOinsert'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua')),'v$ut'),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua'),'tc$ubool'))),'t$ua'),
inference(demodulation,[status(thm)],[c494,d0]) ).
cnf(d2,plain,
~ 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('c$ufequal'('v$ut','tc$uHoare$u$uMirabelle$uOtriple'('t$ua')),'c$ufequal'('v$ut','tc$uHoare$u$uMirabelle$uOtriple'('t$ua')),'t$ua'),
inference(demodulation,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'(X0,X0,X1),
inference(resolution,[status(thm)],[c430,c344]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[d3,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV913-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n004.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 15:09:08 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 33.52/4.68 % SZS status Unsatisfiable for theBenchmark.p
% 33.52/4.68 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------