%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SET904+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 12:39:19 PM UTC 2026
% Result : Theorem 0.14s 0.45s
% Output : Proof 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET904+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 : n004.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
% 0.09/0.36 % DateTime : Mon Sep 28 03:07:21 UTC 2026
% 0.14/0.36 % CPUTime :
% 0.14/0.36 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.45 Command-line arguments: --no-flatten-goal
% 0.14/0.45
% 0.14/0.45 % SZS status Theorem
% 0.14/0.45
% 0.14/0.45 % SZS output start Proof
% 0.14/0.45 Axiom 1 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.14/0.45 Axiom 2 (t45_zfmisc_1): subset(set_union2(singleton(a), b), b) = true.
% 0.14/0.45 Axiom 3 (l21_zfmisc_1): ifeq(subset(set_union2(singleton(X), Y), Y), true, in(X, Y), true) = true.
% 0.14/0.45
% 0.14/0.45 Goal 1 (t45_zfmisc_1_1): in(a, b) = true.
% 0.14/0.45 Proof:
% 0.14/0.45 in(a, b)
% 0.14/0.45 = { by axiom 1 (ifeq_axiom) R->L }
% 0.14/0.45 ifeq(true, true, in(a, b), true)
% 0.14/0.45 = { by axiom 2 (t45_zfmisc_1) R->L }
% 0.14/0.45 ifeq(subset(set_union2(singleton(a), b), b), true, in(a, b), true)
% 0.14/0.45 = { by axiom 3 (l21_zfmisc_1) }
% 0.14/0.45 true
% 0.14/0.45 % SZS output end Proof
% 0.14/0.45
% 0.14/0.45 RESULT: Theorem (the conjecture is true).
%------------------------------------------------------------------------------