%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SET891+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.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 12:39:18 PM UTC 2026
% Result : Theorem 0.09s 0.43s
% Output : Proof 0.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET891+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n003.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 28 03:08:41 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.43 Command-line arguments: --flatten --complete-subsets
% 0.09/0.43
% 0.09/0.43 % SZS status Theorem
% 0.09/0.43
% 0.09/0.43 % SZS output start Proof
% 0.09/0.43 Axiom 1 (t41_enumset1): unordered_pair(X, Y) = set_union2(singleton(X), singleton(Y)).
% 0.09/0.43 Axiom 2 (l52_zfmisc_1): union(unordered_pair(X, Y)) = set_union2(X, Y).
% 0.09/0.43
% 0.09/0.43 Goal 1 (t32_zfmisc_1): union(unordered_pair(singleton(a), singleton(b))) = unordered_pair(a, b).
% 0.09/0.43 Proof:
% 0.09/0.43 union(unordered_pair(singleton(a), singleton(b)))
% 0.09/0.43 = { by axiom 2 (l52_zfmisc_1) }
% 0.09/0.43 set_union2(singleton(a), singleton(b))
% 0.09/0.43 = { by axiom 1 (t41_enumset1) R->L }
% 0.09/0.43 unordered_pair(a, b)
% 0.09/0.43 % SZS output end Proof
% 0.09/0.43
% 0.09/0.43 RESULT: Theorem (the conjecture is true).
%------------------------------------------------------------------------------