%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : KLE089+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/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 : Tue Sep 29 11:39:48 AM UTC 2026
% Result : Theorem 0.13s 0.68s
% Output : Proof 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE089+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.57 % Computer : n008.cluster.edu
% 0.09/0.57 % Model : x86_64 x86_64
% 0.09/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.57 % Memory : 8046.5625MB
% 0.09/0.57 % OS : Linux 6.8.0-71-generic
% 0.09/0.57 % CPULimit : 300
% 0.09/0.58 % WCLimit : 300
% 0.09/0.58 % DateTime : Sun Sep 27 13:10:11 UTC 2026
% 0.09/0.58 % CPUTime :
% 0.09/0.58 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.68 Command-line arguments: --lhs-weight 1 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10 --complete-subsets --ground-joining-incomplete-limit 15 --flatten-regeneralise
% 0.13/0.68
% 0.13/0.68 % SZS status Theorem
% 0.13/0.68
% 0.13/0.68 % SZS output start Proof
% 0.13/0.68 Axiom 1 (domain1): multiplication(antidomain(X), X) = zero.
% 0.13/0.68 Axiom 2 (additive_identity): addition(X, zero) = X.
% 0.13/0.68 Axiom 3 (goals): addition(domain(x0), antidomain(x1)) = antidomain(x1).
% 0.13/0.68 Axiom 4 (left_distributivity): multiplication(addition(X, Y), Z) = addition(multiplication(X, Z), multiplication(Y, Z)).
% 0.13/0.68
% 0.13/0.68 Goal 1 (goals_1): multiplication(domain(x0), x1) = zero.
% 0.13/0.68 Proof:
% 0.13/0.68 multiplication(domain(x0), x1)
% 0.13/0.68 = { by axiom 2 (additive_identity) R->L }
% 0.13/0.68 addition(multiplication(domain(x0), x1), zero)
% 0.13/0.68 = { by axiom 1 (domain1) R->L }
% 0.13/0.68 addition(multiplication(domain(x0), x1), multiplication(antidomain(x1), x1))
% 0.13/0.68 = { by axiom 4 (left_distributivity) R->L }
% 0.13/0.68 multiplication(addition(domain(x0), antidomain(x1)), x1)
% 0.13/0.68 = { by axiom 3 (goals) }
% 0.13/0.68 multiplication(antidomain(x1), x1)
% 0.13/0.68 = { by axiom 1 (domain1) }
% 0.13/0.68 zero
% 0.13/0.68 % SZS output end Proof
% 0.13/0.68
% 0.13/0.68 RESULT: Theorem (the conjecture is true).
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