%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : RNG010-2 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 12:34:45 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.49s
% Output : Proof 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG010-2 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n020.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 22:59:49 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.49 Command-line arguments: --no-flatten-goal
% 0.14/0.49
% 0.14/0.49 % SZS status Unsatisfiable
% 0.14/0.49
% 0.14/0.49 % SZS output start Proof
% 0.14/0.49 Axiom 1 (right_multiplicative_zero): multiply(X, additive_identity) = additive_identity.
% 0.14/0.49 Axiom 2 (left_multiplicative_zero): multiply(additive_identity, X) = additive_identity.
% 0.14/0.49
% 0.14/0.49 Goal 1 (middle_law): multiply(multiply(X, Y), X) = multiply(X, multiply(Y, X)).
% 0.14/0.49 The goal is true when:
% 0.14/0.49 X = additive_identity
% 0.14/0.49 Y = X
% 0.14/0.49
% 0.14/0.49 Proof:
% 0.14/0.49 multiply(multiply(additive_identity, X), additive_identity)
% 0.14/0.49 = { by axiom 1 (right_multiplicative_zero) }
% 0.14/0.49 additive_identity
% 0.14/0.49 = { by axiom 2 (left_multiplicative_zero) R->L }
% 0.14/0.49 multiply(additive_identity, multiply(X, additive_identity))
% 0.14/0.49 % SZS output end Proof
% 0.14/0.49
% 0.14/0.49 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------