%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SWV011+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.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 01:06:16 PM UTC 2026
% Result : Theorem 0.09s 0.23s
% Output : Proof 0.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV011+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.15 % Computer : n013.cluster.edu
% 0.09/0.15 % Model : x86_64 x86_64
% 0.09/0.15 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.15 % Memory : 8046.5625MB
% 0.09/0.15 % OS : Linux 6.8.0-71-generic
% 0.09/0.15 % CPULimit : 300
% 0.09/0.15 % WCLimit : 300
% 0.09/0.15 % DateTime : Mon Sep 28 09:41:36 UTC 2026
% 0.09/0.15 % CPUTime :
% 0.09/0.15 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.23 Command-line arguments: --no-flatten-goal
% 0.09/0.23
% 0.09/0.23 % SZS status Theorem
% 0.09/0.23
% 0.09/0.23 % SZS output start Proof
% 0.09/0.23 Axiom 1 (ax3): a_holds(key(generate_key(an_a_nonce), b)) = true.
% 0.09/0.23 Axiom 2 (ax1): b_holds(key(generate_key(an_a_nonce), a)) = true.
% 0.09/0.23
% 0.09/0.23 Goal 1 (co1): tuple(a_holds(key(X, b)), b_holds(key(X, a))) = tuple(true, true).
% 0.09/0.23 The goal is true when:
% 0.09/0.23 X = generate_key(an_a_nonce)
% 0.09/0.23
% 0.09/0.23 Proof:
% 0.09/0.23 tuple(a_holds(key(generate_key(an_a_nonce), b)), b_holds(key(generate_key(an_a_nonce), a)))
% 0.09/0.23 = { by axiom 1 (ax3) }
% 0.09/0.23 tuple(true, b_holds(key(generate_key(an_a_nonce), a)))
% 0.09/0.23 = { by axiom 2 (ax1) }
% 0.09/0.23 tuple(true, true)
% 0.09/0.23 % SZS output end Proof
% 0.09/0.23
% 0.09/0.23 RESULT: Theorem (the conjecture is true).
%------------------------------------------------------------------------------