%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV254-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n010.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 09:01:46 AM UTC 2026
% Result : Unsatisfiable 48.95s 8.50s
% Output : CNFRefutation 48.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of clauses : 17 ( 12 unt; 0 nHn; 9 RR)
% Number of literals : 22 ( 5 equ; 8 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 20 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
'c$ulessequals'(X0,'v$ux'(X0),'tc$unat') ).
cnf(cls_conjecture_1,negated_conjecture,
'v$ux'(X0) = 'v$unat' ).
cnf(cls_Nat_OlessI_0,axiom,
'c$uless'(X0,'c$uSuc'(X0),'tc$unat') ).
cnf(cls_Nat_Oless__irrefl_0,axiom,
~ 'c$uless'(X0,X0,'tc$unat') ).
cnf(cls_Nat_Odiff__is__0__eq_H_0,axiom,
( 'c$uminus'(X0,X1,'tc$unat') = 'c$u0'
| ~ 'c$ulessequals'(X0,X1,'tc$unat') ) ).
cnf(cls_Nat_Ozero__less__diff_1,axiom,
( 'c$uless'('c$u0','c$uminus'(X1,X0,'tc$unat'),'tc$unat')
| ~ 'c$uless'(X0,X1,'tc$unat') ) ).
cnf(c16,plain,
'c$ulessequals'(X0,'v$ux'(X0),'tc$unat'),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c17,plain,
'v$ux'(X0) = 'v$unat',
inference(clausification,[status(esa)],[cls_conjecture_1]) ).
cnf(c82,plain,
'c$uless'(X0,'c$uSuc'(X0),'tc$unat'),
inference(clausification,[status(esa)],[cls_Nat_OlessI_0]) ).
cnf(c83,plain,
~ 'c$uless'(X0,X0,'tc$unat'),
inference(clausification,[status(esa)],[cls_Nat_Oless__irrefl_0]) ).
cnf(c2056,plain,
( 'c$uminus'(X0,X1,'tc$unat') = 'c$u0'
| ~ 'c$ulessequals'(X0,X1,'tc$unat') ),
inference(clausification,[status(esa)],[cls_Nat_Odiff__is__0__eq_H_0]) ).
cnf(c2121,plain,
( 'c$uless'('c$u0','c$uminus'(X1,X0,'tc$unat'),'tc$unat')
| ~ 'c$uless'(X0,X1,'tc$unat') ),
inference(clausification,[status(esa)],[cls_Nat_Ozero__less__diff_1]) ).
cnf(d0,plain,
'c$ulessequals'(X0,'v$unat','tc$unat'),
inference(demodulation,[status(thm)],[c16,c17]) ).
cnf(d1,plain,
'c$uminus'(X0,'v$unat','tc$unat') = 'c$u0',
inference(resolution,[status(thm)],[c2056,d0]) ).
cnf(d2,plain,
( ~ 'c$uless'('v$unat',X0,'tc$unat')
| 'c$uless'('c$u0','c$u0','tc$unat') ),
inference(superposition,[status(thm)],[d1,c2121]) ).
cnf(d3,plain,
~ 'c$uless'('v$unat',X0,'tc$unat'),
inference(resolution,[status(thm)],[c83,d2]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[d3,c82]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV254-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n010.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sat Sep 26 13:24:01 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 48.95/8.50 % SZS status Unsatisfiable for theBenchmark.p
% 48.95/8.50 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------