%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV006-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.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 09:01:14 AM UTC 2026
% Result : Unsatisfiable 9.67s 1.84s
% Output : CNFRefutation 9.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 17 ( 11 unt; 0 nHn; 15 RR)
% Number of literals : 27 ( 0 equ; 13 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 13 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_3,negated_conjecture,
'less$uthan'(i,n) ).
cnf(clause_5,negated_conjecture,
'less$uthan'(a(i),a(m)) ).
cnf(clause_6,negated_conjecture,
( ~ 'less$uthan'(a(X0),a(m))
| ~ 'less$uthan'(X0,successor(n))
| 'less$uthan'(X0,i) ) ).
cnf(less_than_successor,axiom,
'less$uthan'(X0,successor(X0)) ).
cnf(transitivity_of_less_than,axiom,
( ~ 'less$uthan'(X2,X1)
| ~ 'less$uthan'(X0,X2)
| 'less$uthan'(X0,X1) ) ).
cnf(x_not_less_than_x,axiom,
~ 'less$uthan'(X0,X0) ).
cnf(c2,plain,
'less$uthan'(i,n),
inference(clausification,[status(esa)],[clause_3]) ).
cnf(c4,plain,
'less$uthan'(a(i),a(m)),
inference(clausification,[status(esa)],[clause_5]) ).
cnf(c5,plain,
( ~ 'less$uthan'(a(X0),a(m))
| ~ 'less$uthan'(X0,successor(n))
| 'less$uthan'(X0,i) ),
inference(clausification,[status(esa)],[clause_6]) ).
cnf(c13,plain,
'less$uthan'(X0,successor(X0)),
inference(clausification,[status(esa)],[less_than_successor]) ).
cnf(c14,plain,
( ~ 'less$uthan'(X2,X1)
| ~ 'less$uthan'(X0,X2)
| 'less$uthan'(X0,X1) ),
inference(clausification,[status(esa)],[transitivity_of_less_than]) ).
cnf(c16,plain,
~ 'less$uthan'(X0,X0),
inference(clausification,[status(esa)],[x_not_less_than_x]) ).
cnf(d0,plain,
( 'less$uthan'(i,X0)
| ~ 'less$uthan'(n,X0) ),
inference(resolution,[status(thm)],[c14,c2]) ).
cnf(d1,plain,
'less$uthan'(i,successor(n)),
inference(resolution,[status(thm)],[d0,c13]) ).
cnf(d2,plain,
( ~ 'less$uthan'(i,successor(n))
| 'less$uthan'(i,i) ),
inference(resolution,[status(thm)],[c5,c4]) ).
cnf(d3,plain,
~ 'less$uthan'(i,successor(n)),
inference(resolution,[status(thm)],[c16,d2]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[d3,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV006-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n005.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sat Sep 26 13:04:34 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.67/1.84 % SZS status Unsatisfiable for theBenchmark.p
% 9.67/1.84 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------