%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SEU163+1 : TPTP v9.3.1. Released v3.3.0.
% 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 12:45:22 PM UTC 2026
% Result : Theorem 0.11s 0.46s
% Output : Proof 0.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU163+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.38 % Computer : n015.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 03:53:16 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.46 Command-line arguments: --no-flatten-goal
% 0.11/0.46
% 0.11/0.46 % SZS status Theorem
% 0.11/0.46
% 0.11/0.46 % SZS output start Proof
% 0.11/0.46 Axiom 1 (t92_zfmisc_1): in(a, b) = true.
% 0.11/0.46 Axiom 2 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.11/0.46 Axiom 3 (l50_zfmisc_1): ifeq(in(X, Y), true, subset(X, union(Y)), true) = true.
% 0.11/0.46
% 0.11/0.46 Goal 1 (t92_zfmisc_1_1): subset(a, union(b)) = true.
% 0.11/0.46 Proof:
% 0.11/0.46 subset(a, union(b))
% 0.11/0.46 = { by axiom 2 (ifeq_axiom) R->L }
% 0.11/0.46 ifeq(true, true, subset(a, union(b)), true)
% 0.11/0.46 = { by axiom 1 (t92_zfmisc_1) R->L }
% 0.11/0.46 ifeq(in(a, b), true, subset(a, union(b)), true)
% 0.11/0.46 = { by axiom 3 (l50_zfmisc_1) }
% 0.11/0.46 true
% 0.11/0.46 % SZS output end Proof
% 0.11/0.46
% 0.11/0.46 RESULT: Theorem (the conjecture is true).
%------------------------------------------------------------------------------