%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SEU247+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 12:45:35 PM UTC 2026
% Result : Theorem 0.10s 0.43s
% Output : Proof 0.10s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU247+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 04:22:00 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.43 Command-line arguments: --lhs-weight 9 --flip-ordering --complete-subsets --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 0.10/0.43
% 0.10/0.43 % SZS status Theorem
% 0.10/0.43
% 0.10/0.43 % SZS output start Proof
% 0.10/0.43 Axiom 1 (t18_wellord1): relation(b) = true.
% 0.10/0.43 Axiom 2 (ifeq_axiom): ifeq2(X, X, Y, Z) = Y.
% 0.10/0.43 Axiom 3 (t17_wellord1): ifeq2(relation(X), true, relation_dom_restriction(relation_rng_restriction(Y, X), Y), relation_restriction(X, Y)) = relation_restriction(X, Y).
% 0.10/0.43 Axiom 4 (t140_relat_1): ifeq2(relation(X), true, relation_dom_restriction(relation_rng_restriction(Y, X), Z), relation_rng_restriction(Y, relation_dom_restriction(X, Z))) = relation_rng_restriction(Y, relation_dom_restriction(X, Z)).
% 0.10/0.43
% 0.10/0.43 Goal 1 (t18_wellord1_1): relation_restriction(b, a) = relation_rng_restriction(a, relation_dom_restriction(b, a)).
% 0.10/0.43 Proof:
% 0.10/0.43 relation_restriction(b, a)
% 0.10/0.43 = { by axiom 3 (t17_wellord1) R->L }
% 0.10/0.43 ifeq2(relation(b), true, relation_dom_restriction(relation_rng_restriction(a, b), a), relation_restriction(b, a))
% 0.10/0.43 = { by axiom 2 (ifeq_axiom) R->L }
% 0.10/0.43 ifeq2(relation(b), true, ifeq2(true, true, relation_dom_restriction(relation_rng_restriction(a, b), a), relation_rng_restriction(a, relation_dom_restriction(b, a))), relation_restriction(b, a))
% 0.10/0.43 = { by axiom 1 (t18_wellord1) R->L }
% 0.10/0.43 ifeq2(relation(b), true, ifeq2(relation(b), true, relation_dom_restriction(relation_rng_restriction(a, b), a), relation_rng_restriction(a, relation_dom_restriction(b, a))), relation_restriction(b, a))
% 0.10/0.43 = { by axiom 4 (t140_relat_1) }
% 0.10/0.43 ifeq2(relation(b), true, relation_rng_restriction(a, relation_dom_restriction(b, a)), relation_restriction(b, a))
% 0.10/0.43 = { by axiom 1 (t18_wellord1) }
% 0.10/0.43 ifeq2(true, true, relation_rng_restriction(a, relation_dom_restriction(b, a)), relation_restriction(b, a))
% 0.10/0.43 = { by axiom 2 (ifeq_axiom) }
% 0.10/0.43 relation_rng_restriction(a, relation_dom_restriction(b, a))
% 0.10/0.43 % SZS output end Proof
% 0.10/0.43
% 0.10/0.43 RESULT: Theorem (the conjecture is true).
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