%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYN366+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.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 01:47:39 PM UTC 2026
% Result : Theorem 0.06s 0.25s
% Output : Proof 0.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN366+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.19 % Computer : n001.cluster.edu
% 0.06/0.19 % Model : x86_64 x86_64
% 0.06/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.19 % Memory : 8046.5625MB
% 0.06/0.19 % OS : Linux 6.8.0-71-generic
% 0.06/0.19 % CPULimit : 300
% 0.06/0.19 % WCLimit : 300
% 0.06/0.19 % DateTime : Mon Sep 28 15:55:03 UTC 2026
% 0.06/0.19 % CPUTime :
% 0.06/0.19 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.25 Command-line arguments: --lhs-weight 9 --flip-ordering --complete-subsets --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 0.06/0.25
% 0.06/0.25 % SZS status Theorem
% 0.06/0.25
% 0.06/0.25 % SZS output start Proof
% 0.06/0.25 Axiom 1 (x2117): big_r(x, x) = true.
% 0.06/0.25 Axiom 2 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.06/0.25 Axiom 3 (x2117_1): ifeq(big_r(X, X), true, big_r(X, Y), true) = true.
% 0.06/0.25 Axiom 4 (x2117_4): ifeq(big_r(X, Y), true, big_r(Y, Y), true) = true.
% 0.06/0.25
% 0.06/0.25 Goal 1 (x2117_5): big_r(y, y) = true.
% 0.06/0.25 Proof:
% 0.06/0.25 big_r(y, y)
% 0.06/0.25 = { by axiom 2 (ifeq_axiom) R->L }
% 0.06/0.25 ifeq(true, true, big_r(y, y), true)
% 0.06/0.25 = { by axiom 3 (x2117_1) R->L }
% 0.06/0.25 ifeq(ifeq(big_r(x, x), true, big_r(x, y), true), true, big_r(y, y), true)
% 0.06/0.25 = { by axiom 1 (x2117) }
% 0.06/0.25 ifeq(ifeq(true, true, big_r(x, y), true), true, big_r(y, y), true)
% 0.06/0.25 = { by axiom 2 (ifeq_axiom) }
% 0.06/0.25 ifeq(big_r(x, y), true, big_r(y, y), true)
% 0.06/0.25 = { by axiom 4 (x2117_4) }
% 0.06/0.25 true
% 0.06/0.25 % SZS output end Proof
% 0.06/0.25
% 0.06/0.25 RESULT: Theorem (the conjecture is true).
%------------------------------------------------------------------------------