%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV675-1 : 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 : n013.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 09:04:33 AM UTC 2026
% Result : Unsatisfiable 40.65s 5.64s
% Output : CNFRefutation 40.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 11 ( 8 unt; 0 nHn; 9 RR)
% Number of literals : 16 ( 0 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 8 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_less__le__not__le_1,axiom,
( ~ 'c$uHOL$uOord$u$uclass$uOless'(X2,X1,X0)
| ~ 'c$ulessequals'(X1,X2,X0)
| ~ 'class$uOrderings$uOpreorder'(X0) ) ).
cnf(cls_zero__less__Suc_0,axiom,
'c$uHOL$uOord$u$uclass$uOless'('c$uHOL$uOzero$u$uclass$uOzero'('tc$unat'),'c$uSuc'(X0),'tc$unat') ).
cnf(cls_conjecture_0,negated_conjecture,
'c$ulessequals'('c$uSuc'('v$uy'),'c$uHOL$uOzero$u$uclass$uOzero'('tc$unat'),'tc$unat') ).
cnf(clsarity_nat__Orderings_Opreorder,axiom,
'class$uOrderings$uOpreorder'('tc$unat') ).
cnf(c596,plain,
( ~ 'c$uHOL$uOord$u$uclass$uOless'(X2,X1,X0)
| ~ 'c$ulessequals'(X1,X2,X0)
| ~ 'class$uOrderings$uOpreorder'(X0) ),
inference(clausification,[status(esa)],[cls_less__le__not__le_1]) ).
cnf(c901,plain,
'c$uHOL$uOord$u$uclass$uOless'('c$uHOL$uOzero$u$uclass$uOzero'('tc$unat'),'c$uSuc'(X0),'tc$unat'),
inference(clausification,[status(esa)],[cls_zero__less__Suc_0]) ).
cnf(c1265,plain,
'c$ulessequals'('c$uSuc'('v$uy'),'c$uHOL$uOzero$u$uclass$uOzero'('tc$unat'),'tc$unat'),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c1326,plain,
'class$uOrderings$uOpreorder'('tc$unat'),
inference(clausification,[status(esa)],[clsarity_nat__Orderings_Opreorder]) ).
cnf(d0,plain,
( ~ 'class$uOrderings$uOpreorder'('tc$unat')
| ~ 'c$uHOL$uOord$u$uclass$uOless'('c$uHOL$uOzero$u$uclass$uOzero'('tc$unat'),'c$uSuc'('v$uy'),'tc$unat') ),
inference(resolution,[status(thm)],[c596,c1265]) ).
cnf(d1,plain,
~ 'c$uHOL$uOord$u$uclass$uOless'('c$uHOL$uOzero$u$uclass$uOzero'('tc$unat'),'c$uSuc'('v$uy'),'tc$unat'),
inference(resolution,[status(thm)],[c1326,d0]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[c901,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV675-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.38 % Computer : n013.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Sat Sep 26 14:45:12 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 40.65/5.64 % SZS status Unsatisfiable for theBenchmark.p
% 40.65/5.64 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------