%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : FLD071-4 : 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 : n018.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 19.38s 2.96s
% Output : CNFRefutation 19.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of clauses : 14 ( 10 unt; 0 nHn; 14 RR)
% Number of literals : 23 ( 0 equ; 11 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 6 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(less_or_equal_4,negated_conjecture,
'less$uor$uequal'('additive$uidentity',a) ).
cnf(less_or_equal_5,negated_conjecture,
'less$uor$uequal'('additive$uidentity',b) ).
cnf(product_6,negated_conjecture,
product(a,b,u) ).
cnf(not_less_or_equal_7,negated_conjecture,
~ 'less$uor$uequal'('additive$uidentity',u) ).
cnf(compatibility_of_order_relation_and_multiplication,axiom,
( ~ product(X1,X2,X0)
| ~ 'less$uor$uequal'('additive$uidentity',X2)
| ~ 'less$uor$uequal'('additive$uidentity',X1)
| 'less$uor$uequal'('additive$uidentity',X0) ) ).
cnf(c3,plain,
'less$uor$uequal'('additive$uidentity',a),
inference(clausification,[status(esa)],[less_or_equal_4]) ).
cnf(c4,plain,
'less$uor$uequal'('additive$uidentity',b),
inference(clausification,[status(esa)],[less_or_equal_5]) ).
cnf(c5,plain,
product(a,b,u),
inference(clausification,[status(esa)],[product_6]) ).
cnf(c6,plain,
~ 'less$uor$uequal'('additive$uidentity',u),
inference(clausification,[status(esa)],[not_less_or_equal_7]) ).
cnf(c31,plain,
( ~ product(X1,X2,X0)
| ~ 'less$uor$uequal'('additive$uidentity',X2)
| ~ 'less$uor$uequal'('additive$uidentity',X1)
| 'less$uor$uequal'('additive$uidentity',X0) ),
inference(clausification,[status(esa)],[compatibility_of_order_relation_and_multiplication]) ).
cnf(d0,plain,
( ~ 'less$uor$uequal'('additive$uidentity',a)
| ~ 'less$uor$uequal'('additive$uidentity',b)
| 'less$uor$uequal'('additive$uidentity',u) ),
inference(resolution,[status(thm)],[c31,c5]) ).
cnf(d1,plain,
( 'less$uor$uequal'('additive$uidentity',u)
| ~ 'less$uor$uequal'('additive$uidentity',b) ),
inference(resolution,[status(thm)],[c3,d0]) ).
cnf(d2,plain,
'less$uor$uequal'('additive$uidentity',u),
inference(resolution,[status(thm)],[c4,d1]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[c6,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : FLD071-4 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.42 % Computer : n018.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Sun Sep 27 02:37:07 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.38/2.96 % SZS status Unsatisfiable for theBenchmark.p
% 19.38/2.96 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------