%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYN050+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 01:46:57 PM UTC 2026
% Result : Theorem 0.05s 0.24s
% Output : Proof 0.05s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN050+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.05/0.18 % Computer : n019.cluster.edu
% 0.05/0.18 % Model : x86_64 x86_64
% 0.05/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.18 % Memory : 8046.5625MB
% 0.05/0.18 % OS : Linux 6.8.0-71-generic
% 0.05/0.18 % CPULimit : 300
% 0.05/0.18 % WCLimit : 300
% 0.05/0.18 % DateTime : Mon Sep 28 15:26:47 UTC 2026
% 0.05/0.18 % CPUTime :
% 0.05/0.18 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.05/0.24 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
% 0.05/0.24
% 0.05/0.24 % SZS status Theorem
% 0.05/0.24
% 0.05/0.24 % SZS output start Proof
% 0.05/0.25 Axiom 1 (pel20_1): big_q(X) = true.
% 0.05/0.25 Axiom 2 (pel20): big_p(X) = true.
% 0.05/0.25 Axiom 3 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.05/0.25 Axiom 4 (pel20_2): ifeq(big_q(X), true, ifeq(big_p(Y), true, big_r(z(Y, X)), true), true) = true.
% 0.05/0.25
% 0.05/0.25 Goal 1 (pel20_4): big_r(X) = true.
% 0.05/0.25 The goal is true when:
% 0.05/0.25 X = z(Y, X)
% 0.05/0.25
% 0.05/0.25 Proof:
% 0.05/0.25 big_r(z(Y, X))
% 0.05/0.25 = { by axiom 3 (ifeq_axiom) R->L }
% 0.05/0.25 ifeq(true, true, big_r(z(Y, X)), true)
% 0.05/0.25 = { by axiom 2 (pel20) R->L }
% 0.05/0.25 ifeq(big_p(Y), true, big_r(z(Y, X)), true)
% 0.05/0.25 = { by axiom 3 (ifeq_axiom) R->L }
% 0.05/0.25 ifeq(true, true, ifeq(big_p(Y), true, big_r(z(Y, X)), true), true)
% 0.05/0.25 = { by axiom 1 (pel20_1) R->L }
% 0.05/0.25 ifeq(big_q(X), true, ifeq(big_p(Y), true, big_r(z(Y, X)), true), true)
% 0.05/0.25 = { by axiom 4 (pel20_2) }
% 0.05/0.25 true
% 0.05/0.25 % SZS output end Proof
% 0.05/0.25
% 0.05/0.25 RESULT: Theorem (the conjecture is true).
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