%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SEU161+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 12:45:22 PM UTC 2026
% Result : Theorem 0.11s 0.44s
% Output : Proof 0.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU161+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n011.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 28 03:49:15 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.44 Command-line arguments: --flatten --complete-subsets
% 0.11/0.44
% 0.11/0.44 % SZS status Theorem
% 0.11/0.44
% 0.11/0.44 % SZS output start Proof
% 0.11/0.44 Axiom 1 (t46_zfmisc_1): in(a, b) = true.
% 0.11/0.44 Axiom 2 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.11/0.44 Axiom 3 (l23_zfmisc_1): ifeq(in(X, Y), true, set_union2(singleton(X), Y), Y) = Y.
% 0.11/0.44
% 0.11/0.44 Goal 1 (t46_zfmisc_1_1): set_union2(singleton(a), b) = b.
% 0.11/0.44 Proof:
% 0.11/0.44 set_union2(singleton(a), b)
% 0.11/0.44 = { by axiom 2 (ifeq_axiom) R->L }
% 0.11/0.44 ifeq(in(a, b), in(a, b), set_union2(singleton(a), b), b)
% 0.11/0.44 = { by axiom 1 (t46_zfmisc_1) }
% 0.11/0.44 ifeq(in(a, b), true, set_union2(singleton(a), b), b)
% 0.11/0.44 = { by axiom 3 (l23_zfmisc_1) }
% 0.11/0.44 b
% 0.11/0.44 % SZS output end Proof
% 0.11/0.44
% 0.11/0.44 RESULT: Theorem (the conjecture is true).
%------------------------------------------------------------------------------