%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV856-1 : 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 : n020.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 09:04:49 AM UTC 2026
% Result : Unsatisfiable 46.74s 7.10s
% Output : CNFRefutation 46.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of clauses : 14 ( 14 unt; 0 nHn; 6 RR)
% Number of literals : 14 ( 8 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-4 aty)
% Number of variables : 29 ( 13 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Collect__def_0,axiom,
'c$uCollect'(X0,X1) = X0 ).
cnf(cls_COMBC__def_0,axiom,
hAPP(hAPP('c$uCOMBC'(X0,X1,X2,X3),X4),X5) = hAPP(hAPP(X0,X5),X4) ).
cnf(cls_Collect__mem__eq_0,axiom,
'c$uCollect'(hAPP('c$uCOMBC'('c$uin'(X0),X0,'tc$ufun'(X0,'tc$ubool'),'tc$ubool'),X1),X0) = X1 ).
cnf(cls_bot1E_0,axiom,
~ hBOOL(hAPP('c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'(X0,'tc$ubool')),X1)) ).
cnf(cls_conjecture_0,negated_conjecture,
hBOOL(hAPP(hAPP('c$uin'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua')),'v$uxa'),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua'),'tc$ubool')))) ).
cnf(c22,plain,
'c$uCollect'(X0,X1) = X0,
inference(clausification,[status(esa)],[cls_Collect__def_0]) ).
cnf(c102,plain,
hAPP(hAPP('c$uCOMBC'(X0,X1,X2,X3),X4),X5) = hAPP(hAPP(X0,X5),X4),
inference(clausification,[status(esa)],[cls_COMBC__def_0]) ).
cnf(c464,plain,
'c$uCollect'(hAPP('c$uCOMBC'('c$uin'(X0),X0,'tc$ufun'(X0,'tc$ubool'),'tc$ubool'),X1),X0) = X1,
inference(clausification,[status(esa)],[cls_Collect__mem__eq_0]) ).
cnf(c567,plain,
~ hBOOL(hAPP('c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'(X0,'tc$ubool')),X1)),
inference(clausification,[status(esa)],[cls_bot1E_0]) ).
cnf(c572,plain,
hBOOL(hAPP(hAPP('c$uin'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua')),'v$uxa'),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua'),'tc$ubool')))),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(d0,plain,
hAPP('c$uCOMBC'('c$uin'(X0),X0,'tc$ufun'(X0,'tc$ubool'),'tc$ubool'),X1) = X1,
inference(demodulation,[status(thm)],[c464,c22]) ).
cnf(d1,plain,
hAPP(X1,X2) = hAPP(hAPP('c$uin'(X0),X2),X1),
inference(superposition,[status(thm)],[d0,c102]) ).
cnf(d2,plain,
hBOOL(hAPP('c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua'),'tc$ubool')),'v$uxa')),
inference(demodulation,[status(thm)],[c572,d1]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[c567,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV856-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n020.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sat Sep 26 15:05:18 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 46.74/7.10 % SZS status Unsatisfiable for theBenchmark.p
% 46.74/7.10 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------