%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : FLD071-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/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 07:11:01 AM UTC 2026
% Result : Unsatisfiable 14.55s 2.41s
% Output : CNFRefutation 14.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 11 ( 8 unt; 0 nHn; 11 RR)
% Number of literals : 16 ( 0 equ; 9 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 : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 4 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(less_or_equal_3,negated_conjecture,
'less$uor$uequal'('additive$uidentity',a) ).
cnf(less_or_equal_4,negated_conjecture,
'less$uor$uequal'('additive$uidentity',b) ).
cnf(not_less_or_equal_5,negated_conjecture,
~ 'less$uor$uequal'('additive$uidentity',multiply(a,b)) ).
cnf(compatibility_of_order_relation_and_multiplication,axiom,
( ~ 'less$uor$uequal'('additive$uidentity',X1)
| ~ 'less$uor$uequal'('additive$uidentity',X0)
| 'less$uor$uequal'('additive$uidentity',multiply(X0,X1)) ) ).
cnf(c2,plain,
'less$uor$uequal'('additive$uidentity',a),
inference(clausification,[status(esa)],[less_or_equal_3]) ).
cnf(c3,plain,
'less$uor$uequal'('additive$uidentity',b),
inference(clausification,[status(esa)],[less_or_equal_4]) ).
cnf(c4,plain,
~ 'less$uor$uequal'('additive$uidentity',multiply(a,b)),
inference(clausification,[status(esa)],[not_less_or_equal_5]) ).
cnf(c24,plain,
( ~ 'less$uor$uequal'('additive$uidentity',X1)
| ~ 'less$uor$uequal'('additive$uidentity',X0)
| 'less$uor$uequal'('additive$uidentity',multiply(X0,X1)) ),
inference(clausification,[status(esa)],[compatibility_of_order_relation_and_multiplication]) ).
cnf(d0,plain,
( ~ 'less$uor$uequal'('additive$uidentity',b)
| ~ 'less$uor$uequal'('additive$uidentity',a) ),
inference(resolution,[status(thm)],[c24,c4]) ).
cnf(d1,plain,
~ 'less$uor$uequal'('additive$uidentity',b),
inference(resolution,[status(thm)],[c2,d0]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[c3,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : FLD071-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.34 % Computer : n016.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Sun Sep 27 02:39:46 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.07/0.34 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.55/2.41 % SZS status Unsatisfiable for theBenchmark.p
% 14.55/2.41 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------