%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : HEN001-5 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 07:31:43 AM UTC 2026
% Result : Unsatisfiable 10.42s 1.75s
% Output : CNFRefutation 10.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 2
% Syntax : Number of clauses : 5 ( 5 unt; 0 nHn; 3 RR)
% Number of literals : 5 ( 4 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 2 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_everything_divide_id_is_zero,negated_conjecture,
divide(a,identity) != zero ).
cnf(identity_is_largest,axiom,
divide(X0,identity) = zero ).
cnf(c0,plain,
divide(a,identity) != zero,
inference(clausification,[status(esa)],[prove_everything_divide_id_is_zero]) ).
cnf(c5,plain,
divide(X0,identity) = zero,
inference(clausification,[status(esa)],[identity_is_largest]) ).
cnf(d0,plain,
$false,
inference(resolution,[status(thm)],[c5,c0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HEN001-5 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n008.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Fri Sep 25 15:55:54 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.42/1.75 % SZS status Unsatisfiable for theBenchmark.p
% 10.42/1.75 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------