%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYN376+1 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.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 01:47:40 PM UTC 2026
% Result : Theorem 0.07s 0.24s
% Output : Proof 0.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN376+1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.16 % Computer : n005.cluster.edu
% 0.07/0.16 % Model : x86_64 x86_64
% 0.07/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.16 % Memory : 8046.5625MB
% 0.07/0.16 % OS : Linux 6.8.0-71-generic
% 0.07/0.16 % CPULimit : 300
% 0.07/0.16 % WCLimit : 300
% 0.07/0.16 % DateTime : Mon Sep 28 15:50:46 UTC 2026
% 0.07/0.17 % CPUTime :
% 0.07/0.17 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.24 Command-line arguments: --no-flatten-goal
% 0.07/0.24
% 0.07/0.24 % SZS status Theorem
% 0.07/0.24
% 0.07/0.24 % SZS output start Proof
% 0.07/0.24 Axiom 1 (x2127): big_p(x) = true.
% 0.07/0.24 Axiom 2 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.07/0.24 Axiom 3 (x2127_1): ifeq(big_p(X), true, big_p(x3), true) = true.
% 0.07/0.24 Axiom 4 (x2127_2): ifeq(big_p(x3), true, big_p(X), true) = true.
% 0.07/0.24
% 0.07/0.24 Goal 1 (x2127_3): big_p(x2) = true.
% 0.07/0.24 Proof:
% 0.07/0.24 big_p(x2)
% 0.07/0.24 = { by axiom 2 (ifeq_axiom) R->L }
% 0.07/0.24 ifeq(true, true, big_p(x2), true)
% 0.07/0.24 = { by axiom 3 (x2127_1) R->L }
% 0.07/0.24 ifeq(ifeq(big_p(x), true, big_p(x3), true), true, big_p(x2), true)
% 0.07/0.24 = { by axiom 1 (x2127) }
% 0.07/0.24 ifeq(ifeq(true, true, big_p(x3), true), true, big_p(x2), true)
% 0.07/0.24 = { by axiom 2 (ifeq_axiom) }
% 0.07/0.24 ifeq(big_p(x3), true, big_p(x2), true)
% 0.07/0.24 = { by axiom 4 (x2127_2) }
% 0.07/0.24 true
% 0.07/0.24 % SZS output end Proof
% 0.07/0.24
% 0.07/0.24 RESULT: Theorem (the conjecture is true).
%------------------------------------------------------------------------------