%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM025-2 : TPTP v9.3.1. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n016.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 08:10:40 AM UTC 2026
% Result : Unsatisfiable 10.01s 6.68s
% Output : CNFRefutation 10.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 11 ( 8 unt; 3 nHn; 6 RR)
% Number of literals : 16 ( 0 equ; 6 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 10 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(transitivity_of_less,axiom,
( ~ 'greater$uor$uequalish'(X2,X1)
| 'greater$uor$uequalish'(X2,X0)
| 'greater$uor$uequalish'(X0,X1) ) ).
cnf(no_number_less_than_itself,axiom,
'greater$uor$uequalish'(X0,X0) ).
cnf(a_less_than_b,hypothesis,
~ 'greater$uor$uequalish'(a,b) ).
cnf(prove_b_not_less_than_a,negated_conjecture,
~ 'greater$uor$uequalish'(b,a) ).
cnf(c3,plain,
( ~ 'greater$uor$uequalish'(X2,X1)
| 'greater$uor$uequalish'(X2,X0)
| 'greater$uor$uequalish'(X0,X1) ),
inference(clausification,[status(esa)],[transitivity_of_less]) ).
cnf(c7,plain,
'greater$uor$uequalish'(X0,X0),
inference(clausification,[status(esa)],[no_number_less_than_itself]) ).
cnf(c8,plain,
~ 'greater$uor$uequalish'(a,b),
inference(clausification,[status(esa)],[a_less_than_b]) ).
cnf(c9,plain,
~ 'greater$uor$uequalish'(b,a),
inference(clausification,[status(esa)],[prove_b_not_less_than_a]) ).
cnf(d0,plain,
( 'greater$uor$uequalish'(X1,X0)
| 'greater$uor$uequalish'(X0,X1) ),
inference(resolution,[status(thm)],[c3,c7]) ).
cnf(d1,plain,
'greater$uor$uequalish'(a,b),
inference(resolution,[status(thm)],[d0,c9]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[c8,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM025-2 : TPTP v9.3.1. Bugfixed v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/5.37 % Computer : n016.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Sat Sep 26 01:59:20 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.01/6.68 % SZS status Unsatisfiable for theBenchmark.p
% 10.01/6.68 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------