%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : KLE074+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 11:39:46 AM UTC 2026
% Result : Theorem 0.08s 0.45s
% Output : Proof 0.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KLE074+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n015.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 27 13:12:15 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.45 Command-line arguments: --no-flatten-goal
% 0.08/0.45
% 0.08/0.45 % SZS status Theorem
% 0.08/0.45
% 0.08/0.45 % SZS output start Proof
% 0.08/0.45 Axiom 1 (domain2): domain(multiplication(X, Y)) = domain(multiplication(X, domain(Y))).
% 0.08/0.45 Axiom 2 (multiplicative_associativity): multiplication(X, multiplication(Y, Z)) = multiplication(multiplication(X, Y), Z).
% 0.08/0.45
% 0.08/0.45 Goal 1 (goals): domain(multiplication(multiplication(x0, x1), domain(x2))) = domain(multiplication(x0, domain(multiplication(x1, domain(x2))))).
% 0.08/0.45 Proof:
% 0.08/0.45 domain(multiplication(multiplication(x0, x1), domain(x2)))
% 0.08/0.45 = { by axiom 1 (domain2) R->L }
% 0.08/0.45 domain(multiplication(multiplication(x0, x1), x2))
% 0.08/0.45 = { by axiom 2 (multiplicative_associativity) R->L }
% 0.08/0.45 domain(multiplication(x0, multiplication(x1, x2)))
% 0.08/0.45 = { by axiom 1 (domain2) }
% 0.08/0.45 domain(multiplication(x0, domain(multiplication(x1, x2))))
% 0.08/0.45 = { by axiom 1 (domain2) }
% 0.08/0.45 domain(multiplication(x0, domain(multiplication(x1, domain(x2)))))
% 0.08/0.45 % SZS output end Proof
% 0.08/0.45
% 0.08/0.45 RESULT: Theorem (the conjecture is true).
%------------------------------------------------------------------------------