%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SET911+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.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 0.11s 0.43s
% Output : Proof 0.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET911+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n007.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 28 03:07:40 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.43 Command-line arguments: --lhs-weight 1 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10 --complete-subsets --ground-joining-incomplete-limit 15 --flatten-every 2
% 0.11/0.43
% 0.11/0.43 % SZS status Theorem
% 0.11/0.43
% 0.11/0.43 % SZS output start Proof
% 0.11/0.43 Axiom 1 (t52_zfmisc_1): in(a, b) = true.
% 0.11/0.43 Axiom 2 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.11/0.43 Axiom 3 (l32_zfmisc_1): ifeq(in(X, Y), true, set_intersection2(Y, singleton(X)), singleton(X)) = singleton(X).
% 0.11/0.43
% 0.11/0.43 Goal 1 (t52_zfmisc_1_1): set_intersection2(b, singleton(a)) = singleton(a).
% 0.11/0.43 Proof:
% 0.11/0.43 set_intersection2(b, singleton(a))
% 0.11/0.43 = { by axiom 2 (ifeq_axiom) R->L }
% 0.11/0.43 ifeq(true, true, set_intersection2(b, singleton(a)), singleton(a))
% 0.11/0.43 = { by axiom 1 (t52_zfmisc_1) R->L }
% 0.11/0.43 ifeq(in(a, b), true, set_intersection2(b, singleton(a)), singleton(a))
% 0.11/0.43 = { by axiom 3 (l32_zfmisc_1) }
% 0.11/0.43 singleton(a)
% 0.11/0.43 % SZS output end Proof
% 0.11/0.43
% 0.11/0.43 RESULT: Theorem (the conjecture is true).
%------------------------------------------------------------------------------