%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : KLE051+1 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Jul 24 07:31:37 PM UTC 2025
% Result : Theorem 0.09s 0.30s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 8 ( 8 unt; 0 def)
% Number of atoms : 8 ( 7 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 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(goals,plain,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(goals_negated,plain,
~ ! [X0] : addition(X0,X0) = X0,
inference(negate_conjecture,[status(cth)],[goals]) ).
cnf(18,plain,
addition(sK1,sK1) != sK1,
inference(cnf,[status(esa)],[goals_negated]) ).
cnf(l0,plain,
addition(sK1,sK1) != sK1,
inference(instantiation,[status(thm)],[18]) ).
fof(additive_idempotence,plain,
! [A] : addition(A,A) = A,
file('Axioms/KLE001+0.ax',additive_idempotence) ).
cnf(3,plain,
addition(X0,X0) = X0,
inference(cnf,[status(esa)],[additive_idempotence]) ).
cnf(l1,plain,
addition(sK1,sK1) = sK1,
inference(instantiation,[status(thm)],[3]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09 % Problem : KLE051+1 : TPTP v9.0.0. Released v4.0.0.
% 0.04/0.10 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.30 % Computer : n018.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Sun Jul 20 21:22:49 EDT 2025
% 0.09/0.30 % CPUTime :
% 0.09/0.30 % launching worker at depth: 3
% 0.09/0.30 % launching worker at depth: 1
% 0.09/0.30 % launching worker at depth: 2
% 0.09/0.30 % launching worker at depth: 4
% 0.09/0.30 % SZS status Theorem for theBenchmark
% 0.09/0.30 % SZS output start CNFRefutation
% See solution above
% 0.09/0.30 % launching worker at depth:
%------------------------------------------------------------------------------