%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SET910+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 12:39:20 PM UTC 2026
% Result : Theorem 0.12s 0.42s
% Output : Proof 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET910+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.34 % Computer : n003.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 28 03:10:56 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.42 Command-line arguments: --no-flatten-goal
% 0.12/0.42
% 0.12/0.42 % SZS status Theorem
% 0.12/0.42
% 0.12/0.42 % SZS output start Proof
% 0.12/0.42 Axiom 1 (t51_zfmisc_1): set_intersection2(a, singleton(b)) = singleton(b).
% 0.12/0.42 Axiom 2 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.12/0.42 Axiom 3 (l30_zfmisc_1): ifeq(set_intersection2(X, singleton(Y)), singleton(Y), in(Y, X), true) = true.
% 0.12/0.42
% 0.12/0.42 Goal 1 (t51_zfmisc_1_1): in(b, a) = true.
% 0.12/0.42 Proof:
% 0.12/0.42 in(b, a)
% 0.12/0.42 = { by axiom 2 (ifeq_axiom) R->L }
% 0.12/0.42 ifeq(singleton(b), singleton(b), in(b, a), true)
% 0.12/0.42 = { by axiom 1 (t51_zfmisc_1) R->L }
% 0.12/0.42 ifeq(set_intersection2(a, singleton(b)), singleton(b), in(b, a), true)
% 0.12/0.42 = { by axiom 3 (l30_zfmisc_1) }
% 0.12/0.42 true
% 0.12/0.42 % SZS output end Proof
% 0.12/0.42
% 0.12/0.42 RESULT: Theorem (the conjecture is true).
%------------------------------------------------------------------------------