%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SEU150+3 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.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 12:45:20 PM UTC 2026
% Result : Theorem 0.18s 0.46s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU150+3 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.38 % Computer : n006.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 03:45:55 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46 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
% 0.18/0.46
% 0.18/0.46 % SZS status Theorem
% 0.18/0.46
% 0.18/0.46 % SZS output start Proof
% 0.18/0.46 Axiom 1 (commutativity_k2_tarski): unordered_pair(X, Y) = unordered_pair(Y, X).
% 0.18/0.46 Axiom 2 (t9_zfmisc_1): singleton(a) = unordered_pair(b, c).
% 0.18/0.46 Axiom 3 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.18/0.46 Axiom 4 (t8_zfmisc_1): ifeq(singleton(X), unordered_pair(Y, Z), X, Y) = Y.
% 0.18/0.46
% 0.18/0.46 Goal 1 (t9_zfmisc_1_1): b = c.
% 0.18/0.46 Proof:
% 0.18/0.46 b
% 0.18/0.46 = { by axiom 3 (ifeq_axiom) R->L }
% 0.18/0.46 ifeq(singleton(b), singleton(b), b, c)
% 0.18/0.46 = { by axiom 4 (t8_zfmisc_1) R->L }
% 0.18/0.46 ifeq(singleton(b), singleton(ifeq(singleton(a), unordered_pair(b, c), a, b)), b, c)
% 0.18/0.46 = { by axiom 2 (t9_zfmisc_1) R->L }
% 0.18/0.46 ifeq(singleton(b), singleton(ifeq(singleton(a), singleton(a), a, b)), b, c)
% 0.18/0.46 = { by axiom 3 (ifeq_axiom) }
% 0.18/0.46 ifeq(singleton(b), singleton(a), b, c)
% 0.18/0.46 = { by axiom 2 (t9_zfmisc_1) }
% 0.18/0.46 ifeq(singleton(b), unordered_pair(b, c), b, c)
% 0.18/0.46 = { by axiom 1 (commutativity_k2_tarski) R->L }
% 0.18/0.46 ifeq(singleton(b), unordered_pair(c, b), b, c)
% 0.18/0.46 = { by axiom 4 (t8_zfmisc_1) }
% 0.18/0.46 c
% 0.18/0.46 % SZS output end Proof
% 0.18/0.46
% 0.18/0.46 RESULT: Theorem (the conjecture is true).
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