%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : KLE051+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.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 07:43:30 AM UTC 2026
% Result : Theorem 19.87s 3.60s
% Output : CNFRefutation 19.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 2
% Syntax : Number of formulae : 6 ( 6 unt; 0 def)
% Number of atoms : 6 ( 5 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 4 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(additive_idempotence,axiom,
! [X0] : addition(X0,X0) = X0 ).
fof(goals,conjecture,
! [X0] : addition(X0,X0) = X0 ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] : addition(X0,X0) = X0,
inference(negate_conjecture,[status(cth)],[goals]) ).
cnf(c3,plain,
addition(X0,X0) = X0,
inference(clausification,[status(esa)],[additive_idempotence]) ).
cnf(c18,plain,
addition(sK28,sK28) != sK28,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
$false,
inference(resolution,[status(thm)],[c3,c18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE051+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.97 % Computer : n026.cluster.edu
% 0.10/0.97 % Model : x86_64 x86_64
% 0.10/0.97 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.97 % Memory : 8046.5625MB
% 0.10/0.97 % OS : Linux 6.8.0-71-generic
% 0.10/0.98 % CPULimit : 300
% 0.10/0.98 % WCLimit : 300
% 0.10/0.98 % DateTime : Fri Sep 25 19:21:11 UTC 2026
% 0.10/0.98 % CPUTime :
% 0.10/0.98 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.87/3.60 % SZS status Theorem for theBenchmark.p
% 19.87/3.60 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------