%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYN065+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.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 01:47:00 PM UTC 2026
% Result : Theorem 0.06s 0.26s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN065+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.18 % Computer : n017.cluster.edu
% 0.06/0.18 % Model : x86_64 x86_64
% 0.06/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.18 % Memory : 8046.5625MB
% 0.06/0.18 % OS : Linux 6.8.0-71-generic
% 0.06/0.18 % CPULimit : 300
% 0.06/0.18 % WCLimit : 300
% 0.06/0.18 % DateTime : Mon Sep 28 15:23:05 UTC 2026
% 0.06/0.18 % CPUTime :
% 0.06/0.18 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.26 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
% 0.06/0.26
% 0.06/0.26 % SZS status Theorem
% 0.06/0.26
% 0.21/0.26 % SZS output start Proof
% 0.21/0.26 Axiom 1 (pel36_1): big_f(X, y2(X)) = true.
% 0.21/0.26 Axiom 2 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.21/0.26 Axiom 3 (pel36_3): ifeq(big_f(X, Y), true, ifeq(big_f(Z, X), true, big_h(Z, Y), true), true) = true.
% 0.21/0.26
% 0.21/0.26 Goal 1 (pel36): big_h(x, X) = true.
% 0.21/0.26 The goal is true when:
% 0.21/0.26 X = y2(y2(x))
% 0.21/0.26
% 0.21/0.26 Proof:
% 0.21/0.26 big_h(x, y2(y2(x)))
% 0.21/0.26 = { by axiom 2 (ifeq_axiom) R->L }
% 0.21/0.26 ifeq(true, true, big_h(x, y2(y2(x))), true)
% 0.21/0.26 = { by axiom 1 (pel36_1) R->L }
% 0.21/0.26 ifeq(big_f(x, y2(x)), true, big_h(x, y2(y2(x))), true)
% 0.21/0.26 = { by axiom 2 (ifeq_axiom) R->L }
% 0.21/0.27 ifeq(true, true, ifeq(big_f(x, y2(x)), true, big_h(x, y2(y2(x))), true), true)
% 0.21/0.27 = { by axiom 1 (pel36_1) R->L }
% 0.21/0.27 ifeq(big_f(y2(x), y2(y2(x))), true, ifeq(big_f(x, y2(x)), true, big_h(x, y2(y2(x))), true), true)
% 0.21/0.27 = { by axiom 3 (pel36_3) }
% 0.21/0.27 true
% 0.21/0.27 % SZS output end Proof
% 0.21/0.27
% 0.21/0.27 RESULT: Theorem (the conjecture is true).
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