%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYN062+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.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 01:46:59 PM UTC 2026
% Result : Theorem 0.09s 0.23s
% Output : Proof 0.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN062+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.03 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.15 % Computer : n006.cluster.edu
% 0.09/0.15 % Model : x86_64 x86_64
% 0.09/0.15 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.15 % Memory : 8046.5625MB
% 0.09/0.15 % OS : Linux 6.8.0-71-generic
% 0.09/0.16 % CPULimit : 300
% 0.09/0.16 % WCLimit : 300
% 0.09/0.16 % DateTime : Mon Sep 28 15:27:09 UTC 2026
% 0.09/0.16 % CPUTime :
% 0.09/0.16 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.23 Command-line arguments: --lhs-weight 9 --flip-ordering --complete-subsets --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 0.09/0.23
% 0.09/0.23 % SZS status Theorem
% 0.09/0.23
% 0.09/0.23 % SZS output start Proof
% 0.09/0.23 Axiom 1 (pel32): big_f(x) = true.
% 0.09/0.23 Axiom 2 (pel32_1): big_k(x) = true.
% 0.09/0.23 Axiom 3 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.09/0.23 Axiom 4 (pel32_3): ifeq(big_k(X), true, big_h(X), true) = true.
% 0.09/0.23 Axiom 5 (pel32_2): ifeq(big_i(X), true, ifeq(big_h(X), true, big_j(X), true), true) = true.
% 0.09/0.23 Axiom 6 (pel32_1_1): ifeq(big_h(X), true, ifeq(big_f(X), true, big_i(X), true), true) = true.
% 0.09/0.23
% 0.09/0.23 Goal 1 (pel32_2): big_j(x) = true.
% 0.09/0.23 Proof:
% 0.09/0.23 big_j(x)
% 0.09/0.23 = { by axiom 3 (ifeq_axiom) R->L }
% 0.09/0.23 ifeq(true, true, big_j(x), true)
% 0.09/0.23 = { by axiom 4 (pel32_3) R->L }
% 0.09/0.23 ifeq(ifeq(big_k(x), true, big_h(x), true), true, big_j(x), true)
% 0.09/0.23 = { by axiom 2 (pel32_1) }
% 0.09/0.23 ifeq(ifeq(true, true, big_h(x), true), true, big_j(x), true)
% 0.09/0.23 = { by axiom 3 (ifeq_axiom) }
% 0.09/0.23 ifeq(big_h(x), true, big_j(x), true)
% 0.09/0.23 = { by axiom 3 (ifeq_axiom) R->L }
% 0.09/0.23 ifeq(true, true, ifeq(big_h(x), true, big_j(x), true), true)
% 0.09/0.23 = { by axiom 6 (pel32_1_1) R->L }
% 0.09/0.23 ifeq(ifeq(big_h(x), true, ifeq(big_f(x), true, big_i(x), true), true), true, ifeq(big_h(x), true, big_j(x), true), true)
% 0.09/0.23 = { by axiom 3 (ifeq_axiom) R->L }
% 0.09/0.23 ifeq(ifeq(ifeq(true, true, big_h(x), true), true, ifeq(big_f(x), true, big_i(x), true), true), true, ifeq(big_h(x), true, big_j(x), true), true)
% 0.09/0.23 = { by axiom 2 (pel32_1) R->L }
% 0.09/0.23 ifeq(ifeq(ifeq(big_k(x), true, big_h(x), true), true, ifeq(big_f(x), true, big_i(x), true), true), true, ifeq(big_h(x), true, big_j(x), true), true)
% 0.09/0.23 = { by axiom 4 (pel32_3) }
% 0.09/0.23 ifeq(ifeq(true, true, ifeq(big_f(x), true, big_i(x), true), true), true, ifeq(big_h(x), true, big_j(x), true), true)
% 0.09/0.23 = { by axiom 3 (ifeq_axiom) }
% 0.09/0.23 ifeq(ifeq(big_f(x), true, big_i(x), true), true, ifeq(big_h(x), true, big_j(x), true), true)
% 0.09/0.23 = { by axiom 1 (pel32) }
% 0.09/0.23 ifeq(ifeq(true, true, big_i(x), true), true, ifeq(big_h(x), true, big_j(x), true), true)
% 0.09/0.23 = { by axiom 3 (ifeq_axiom) }
% 0.09/0.23 ifeq(big_i(x), true, ifeq(big_h(x), true, big_j(x), true), true)
% 0.09/0.23 = { by axiom 5 (pel32_2) }
% 0.09/0.23 true
% 0.09/0.23 % SZS output end Proof
% 0.09/0.23
% 0.09/0.23 RESULT: Theorem (the conjecture is true).
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