%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : CSR068+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 09:41:07 AM UTC 2026
% Result : Theorem 0.36s 0.45s
% Output : Proof 0.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR068+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.07 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.28 % Computer : n011.cluster.edu
% 0.14/0.28 % Model : x86_64 x86_64
% 0.14/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.28 % Memory : 8046.5625MB
% 0.14/0.28 % OS : Linux 6.8.0-71-generic
% 0.14/0.28 % CPULimit : 300
% 0.14/0.28 % WCLimit : 300
% 0.14/0.28 % DateTime : Mon Sep 28 22:24:00 UTC 2026
% 0.14/0.28 % CPUTime :
% 0.14/0.28 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/0.45 Command-line arguments: --lhs-weight 9 --flip-ordering --complete-subsets --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 0.36/0.45
% 0.36/0.45 % SZS status Theorem
% 0.36/0.45
% 0.36/0.45 % SZS output start Proof
% 0.36/0.45 Axiom 1 (query68): mtvisible(c_tptp_member2356_mt) = true.
% 0.36/0.45 Axiom 2 (just8): furpelt(c_theprototypicalfurpelt) = true.
% 0.36/0.45 Axiom 3 (just7): genlmt(c_tptp_member2356_mt, c_tptp_spindleheadmt) = true.
% 0.36/0.45 Axiom 4 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.36/0.45 Axiom 5 (just47): ifeq(mtvisible(X), true, ifeq(genlmt(X, Y), true, mtvisible(Y), true), true) = true.
% 0.36/0.45 Axiom 6 (just9): ifeq(mtvisible(c_tptp_spindleheadmt), true, ifeq(furpelt(X), true, tptpofobject(X, f_tptpquantityfn_1(n_328)), true), true) = true.
% 0.36/0.45
% 0.36/0.45 Goal 1 (query68_1): tptpofobject(c_theprototypicalfurpelt, f_tptpquantityfn_1(n_328)) = true.
% 0.36/0.45 Proof:
% 0.36/0.45 tptpofobject(c_theprototypicalfurpelt, f_tptpquantityfn_1(n_328))
% 0.36/0.45 = { by axiom 4 (ifeq_axiom) R->L }
% 0.36/0.45 ifeq(true, true, tptpofobject(c_theprototypicalfurpelt, f_tptpquantityfn_1(n_328)), true)
% 0.36/0.45 = { by axiom 4 (ifeq_axiom) R->L }
% 0.36/0.45 ifeq(true, true, ifeq(true, true, tptpofobject(c_theprototypicalfurpelt, f_tptpquantityfn_1(n_328)), true), true)
% 0.36/0.45 = { by axiom 5 (just47) R->L }
% 0.36/0.45 ifeq(ifeq(mtvisible(c_tptp_member2356_mt), true, ifeq(genlmt(c_tptp_member2356_mt, c_tptp_spindleheadmt), true, mtvisible(c_tptp_spindleheadmt), true), true), true, ifeq(true, true, tptpofobject(c_theprototypicalfurpelt, f_tptpquantityfn_1(n_328)), true), true)
% 0.36/0.45 = { by axiom 3 (just7) }
% 0.36/0.45 ifeq(ifeq(mtvisible(c_tptp_member2356_mt), true, ifeq(true, true, mtvisible(c_tptp_spindleheadmt), true), true), true, ifeq(true, true, tptpofobject(c_theprototypicalfurpelt, f_tptpquantityfn_1(n_328)), true), true)
% 0.36/0.45 = { by axiom 1 (query68) }
% 0.36/0.45 ifeq(ifeq(true, true, ifeq(true, true, mtvisible(c_tptp_spindleheadmt), true), true), true, ifeq(true, true, tptpofobject(c_theprototypicalfurpelt, f_tptpquantityfn_1(n_328)), true), true)
% 0.36/0.45 = { by axiom 4 (ifeq_axiom) }
% 0.36/0.45 ifeq(ifeq(true, true, mtvisible(c_tptp_spindleheadmt), true), true, ifeq(true, true, tptpofobject(c_theprototypicalfurpelt, f_tptpquantityfn_1(n_328)), true), true)
% 0.36/0.45 = { by axiom 4 (ifeq_axiom) }
% 0.36/0.45 ifeq(mtvisible(c_tptp_spindleheadmt), true, ifeq(true, true, tptpofobject(c_theprototypicalfurpelt, f_tptpquantityfn_1(n_328)), true), true)
% 0.36/0.45 = { by axiom 2 (just8) R->L }
% 0.36/0.45 ifeq(mtvisible(c_tptp_spindleheadmt), true, ifeq(furpelt(c_theprototypicalfurpelt), true, tptpofobject(c_theprototypicalfurpelt, f_tptpquantityfn_1(n_328)), true), true)
% 0.36/0.45 = { by axiom 6 (just9) }
% 0.36/0.45 true
% 0.36/0.45 % SZS output end Proof
% 0.36/0.45
% 0.36/0.45 RESULT: Theorem (the conjecture is true).
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