%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : KLE051+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.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 : Tue Sep 29 11:39:43 AM UTC 2026
% Result : Theorem 0.13s 0.42s
% Output : Proof 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KLE051+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n015.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 27 13:10:45 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.42 Command-line arguments: --flatten --complete-subsets
% 0.13/0.42
% 0.13/0.42 % SZS status Theorem
% 0.13/0.42
% 0.13/0.42 % SZS output start Proof
% 0.13/0.42 Axiom 1 (additive_idempotence): addition(X, X) = X.
% 0.13/0.42
% 0.13/0.42 Goal 1 (goals): addition(x0, x0) = x0.
% 0.13/0.42 Proof:
% 0.13/0.42 addition(x0, x0)
% 0.13/0.42 = { by axiom 1 (additive_idempotence) }
% 0.13/0.42 x0
% 0.13/0.42 % SZS output end Proof
% 0.13/0.42
% 0.13/0.42 RESULT: Theorem (the conjecture is true).
%------------------------------------------------------------------------------