%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYN406+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/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 01:47:44 PM UTC 2026
% Result : Theorem 0.09s 0.24s
% Output : Proof 0.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN406+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.03 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.17 % Computer : n019.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Mon Sep 28 15:54:48 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.24 Command-line arguments: --no-flatten-goal
% 0.09/0.24
% 0.09/0.24 % SZS status Theorem
% 0.09/0.24
% 0.09/0.24 % SZS output start Proof
% 0.09/0.24 Axiom 1 (kalish240_1): h(y) = true.
% 0.09/0.24 Axiom 2 (kalish240): f(y) = true.
% 0.09/0.24 Axiom 3 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.09/0.24 Axiom 4 (kalish240_2): ifeq(f(X), true, g(X), true) = true.
% 0.09/0.24
% 0.09/0.24 Goal 1 (kalish240_3): tuple(g(X), h(X)) = tuple(true, true).
% 0.09/0.24 The goal is true when:
% 0.09/0.24 X = y
% 0.09/0.24
% 0.09/0.24 Proof:
% 0.09/0.24 tuple(g(y), h(y))
% 0.09/0.24 = { by axiom 3 (ifeq_axiom) R->L }
% 0.09/0.24 tuple(ifeq(true, true, g(y), true), h(y))
% 0.09/0.24 = { by axiom 2 (kalish240) R->L }
% 0.09/0.24 tuple(ifeq(f(y), true, g(y), true), h(y))
% 0.09/0.24 = { by axiom 4 (kalish240_2) }
% 0.09/0.24 tuple(true, h(y))
% 0.09/0.24 = { by axiom 1 (kalish240_1) }
% 0.09/0.24 tuple(true, true)
% 0.09/0.24 % SZS output end Proof
% 0.09/0.24
% 0.09/0.24 RESULT: Theorem (the conjecture is true).
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