%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV836-1 : 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 : n014.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 09:04:47 AM UTC 2026
% Result : Unsatisfiable 71.06s 15.77s
% Output : CNFRefutation 71.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of clauses : 18 ( 14 unt; 0 nHn; 13 RR)
% Number of literals : 25 ( 5 equ; 11 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 22 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Collect__def_0,axiom,
'c$uCollect'(X0,X1) = X0 ).
cnf(cls_singleton__conv2_0,axiom,
'c$uCollect'('c$ufequal'(X0,X1),X1) = 'c$uSet$uOinsert'(X0,'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'(X1,'tc$ubool')),X1) ).
cnf(cls_hoare__derivs_Oinsert_0,axiom,
( ~ 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'(X0,'c$uSet$uOinsert'(X1,'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'(X3),'tc$ubool')),'tc$uHoare$u$uMirabelle$uOtriple'(X3)),X3)
| ~ 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'(X0,X2,X3)
| 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'(X0,'c$uSet$uOinsert'(X1,X2,'tc$uHoare$u$uMirabelle$uOtriple'(X3)),X3) ) ).
cnf(cls_conjecture_3,negated_conjecture,
'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('v$uGa','c$uSet$uOinsert'('v$ut','c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua'),'tc$ubool')),'tc$uHoare$u$uMirabelle$uOtriple'('t$ua')),'t$ua') ).
cnf(cls_conjecture_4,negated_conjecture,
'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('v$uGa','v$utsa','t$ua') ).
cnf(cls_conjecture_5,negated_conjecture,
~ 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('v$uGa','c$uSet$uOinsert'('v$ut','v$utsa','tc$uHoare$u$uMirabelle$uOtriple'('t$ua')),'t$ua') ).
cnf(c408,plain,
'c$uCollect'(X0,X1) = X0,
inference(clausification,[status(esa)],[cls_Collect__def_0]) ).
cnf(c474,plain,
'c$uSet$uOinsert'(X0,'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'(X1,'tc$ubool')),X1) = 'c$uCollect'('c$ufequal'(X0,X1),X1),
inference(clausification,[status(esa)],[cls_singleton__conv2_0]) ).
cnf(c510,plain,
( ~ 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'(X0,'c$uSet$uOinsert'(X3,'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'(X2),'tc$ubool')),'tc$uHoare$u$uMirabelle$uOtriple'(X2)),X2)
| 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'(X0,'c$uSet$uOinsert'(X3,X1,'tc$uHoare$u$uMirabelle$uOtriple'(X2)),X2)
| ~ 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'(X0,X1,X2) ),
inference(clausification,[status(esa)],[cls_hoare__derivs_Oinsert_0]) ).
cnf(c555,plain,
'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('v$uGa','c$uSet$uOinsert'('v$ut','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_3]) ).
cnf(c556,plain,
'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('v$uGa','v$utsa','t$ua'),
inference(clausification,[status(esa)],[cls_conjecture_4]) ).
cnf(c557,plain,
~ 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('v$uGa','c$uSet$uOinsert'('v$ut','v$utsa','tc$uHoare$u$uMirabelle$uOtriple'('t$ua')),'t$ua'),
inference(clausification,[status(esa)],[cls_conjecture_5]) ).
cnf(d0,plain,
'c$uSet$uOinsert'(X0,'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'(X1,'tc$ubool')),X1) = 'c$ufequal'(X0,X1),
inference(demodulation,[status(thm)],[c474,c408]) ).
cnf(d1,plain,
( ~ 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'(X2,'c$ufequal'(X0,'tc$uHoare$u$uMirabelle$uOtriple'(X1)),X1)
| 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'(X2,'c$uSet$uOinsert'(X0,X3,'tc$uHoare$u$uMirabelle$uOtriple'(X1)),X1)
| ~ 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'(X2,X3,X1) ),
inference(demodulation,[status(thm)],[c510,d0]) ).
cnf(d2,plain,
( ~ 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('v$uGa','c$ufequal'('v$ut','tc$uHoare$u$uMirabelle$uOtriple'('t$ua')),'t$ua')
| ~ 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('v$uGa','v$utsa','t$ua') ),
inference(resolution,[status(thm)],[d1,c557]) ).
cnf(d3,plain,
~ 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('v$uGa','c$ufequal'('v$ut','tc$uHoare$u$uMirabelle$uOtriple'('t$ua')),'t$ua'),
inference(resolution,[status(thm)],[c556,d2]) ).
cnf(d4,plain,
'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('v$uGa','c$ufequal'('v$ut','tc$uHoare$u$uMirabelle$uOtriple'('t$ua')),'t$ua'),
inference(demodulation,[status(thm)],[c555,d0]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[d4,d3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV836-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.38 % Computer : n014.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sat Sep 26 15:02:02 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 71.06/15.77 % SZS status Unsatisfiable for theBenchmark.p
% 71.06/15.77 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------