%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV690-1 : 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 : n017.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 09:04:34 AM UTC 2026
% Result : Unsatisfiable 34.60s 8.57s
% Output : CNFRefutation 34.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 8 ( 6 unt; 0 nHn; 6 RR)
% Number of literals : 10 ( 0 equ; 5 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-3 aty)
% Number of variables : 6 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_less__imp__diff__less_0,axiom,
( ~ 'c$uHOL$uOord$u$uclass$uOless'(X0,X2,'tc$unat')
| 'c$uHOL$uOord$u$uclass$uOless'('c$uHOL$uOminus$u$uclass$uOminus'(X0,X1,'tc$unat'),X2,'tc$unat') ) ).
cnf(cls_conjecture_0,negated_conjecture,
'c$uHOL$uOord$u$uclass$uOless'('v$uk','v$un','tc$unat') ).
cnf(cls_conjecture_1,negated_conjecture,
~ 'c$uHOL$uOord$u$uclass$uOless'('c$uHOL$uOminus$u$uclass$uOminus'('v$uk','v$ui','tc$unat'),'v$un','tc$unat') ).
cnf(c749,plain,
( ~ 'c$uHOL$uOord$u$uclass$uOless'(X0,X2,'tc$unat')
| 'c$uHOL$uOord$u$uclass$uOless'('c$uHOL$uOminus$u$uclass$uOminus'(X0,X1,'tc$unat'),X2,'tc$unat') ),
inference(clausification,[status(esa)],[cls_less__imp__diff__less_0]) ).
cnf(c767,plain,
'c$uHOL$uOord$u$uclass$uOless'('v$uk','v$un','tc$unat'),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c768,plain,
~ 'c$uHOL$uOord$u$uclass$uOless'('c$uHOL$uOminus$u$uclass$uOminus'('v$uk','v$ui','tc$unat'),'v$un','tc$unat'),
inference(clausification,[status(esa)],[cls_conjecture_1]) ).
cnf(d0,plain,
~ 'c$uHOL$uOord$u$uclass$uOless'('v$uk','v$un','tc$unat'),
inference(resolution,[status(thm)],[c749,c768]) ).
cnf(d1,plain,
$false,
inference(resolution,[status(thm)],[c767,d0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV690-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n017.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sat Sep 26 14:42:33 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 34.60/8.57 % SZS status Unsatisfiable for theBenchmark.p
% 34.60/8.57 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------