%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SEU123+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/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 12:45:16 PM UTC 2026
% Result : Theorem 0.10s 0.44s
% Output : Proof 0.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU123+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n015.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 28 03:41:00 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.44 Command-line arguments: --no-flatten-goal
% 0.10/0.44
% 0.10/0.44 % SZS status Theorem
% 0.10/0.44
% 0.10/0.44 % SZS output start Proof
% 0.10/0.44 Axiom 1 (t3_xboole_1): subset(a, empty_set) = true.
% 0.10/0.44 Axiom 2 (t2_xboole_1): subset(empty_set, X) = true.
% 0.10/0.44 Axiom 3 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.10/0.44 Axiom 4 (d10_xboole_0_1): ifeq(subset(X, Y), true, ifeq(subset(Y, X), true, Y, X), X) = X.
% 0.10/0.44
% 0.10/0.44 Goal 1 (t3_xboole_1_1): a = empty_set.
% 0.10/0.44 Proof:
% 0.10/0.44 a
% 0.10/0.44 = { by axiom 4 (d10_xboole_0_1) R->L }
% 0.10/0.44 ifeq(subset(a, empty_set), true, ifeq(subset(empty_set, a), true, empty_set, a), a)
% 0.10/0.44 = { by axiom 1 (t3_xboole_1) }
% 0.10/0.44 ifeq(true, true, ifeq(subset(empty_set, a), true, empty_set, a), a)
% 0.10/0.44 = { by axiom 3 (ifeq_axiom) }
% 0.10/0.44 ifeq(subset(empty_set, a), true, empty_set, a)
% 0.10/0.44 = { by axiom 2 (t2_xboole_1) }
% 0.10/0.44 ifeq(true, true, empty_set, a)
% 0.10/0.44 = { by axiom 3 (ifeq_axiom) }
% 0.10/0.44 empty_set
% 0.10/0.44 % SZS output end Proof
% 0.10/0.44
% 0.10/0.44 RESULT: Theorem (the conjecture is true).
%------------------------------------------------------------------------------