%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : CSR068+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n009.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 39.88s 5.43s
% Output : Proof 39.88s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : CSR068+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.28 % Computer : n009.cluster.edu
% 0.12/0.28 % Model : x86_64 x86_64
% 0.12/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.28 % Memory : 8046.5625MB
% 0.12/0.28 % OS : Linux 6.8.0-71-generic
% 0.12/0.28 % CPULimit : 300
% 0.12/0.28 % WCLimit : 300
% 0.12/0.28 % DateTime : Mon Sep 28 22:23:30 UTC 2026
% 0.12/0.28 % CPUTime :
% 0.12/0.28 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 39.88/5.43 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
% 39.88/5.43
% 39.88/5.43 % SZS status Theorem
% 39.88/5.43
% 39.88/5.43 % SZS output start Proof
% 39.88/5.43 Axiom 1 (query118): mtvisible(c_tptp_member2356_mt) = true.
% 39.88/5.43 Axiom 2 (ax1_260): furpelt(c_theprototypicalfurpelt) = true.
% 39.88/5.43 Axiom 3 (ax1_446): genlmt(c_tptp_member2356_mt, c_tptp_spindleheadmt) = true.
% 39.88/5.43 Axiom 4 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 39.88/5.43 Axiom 5 (ax1_1123): ifeq(mtvisible(X), true, ifeq(genlmt(X, Y), true, mtvisible(Y), true), true) = true.
% 39.88/5.43 Axiom 6 (ax1_80): ifeq(furpelt(X), true, ifeq(mtvisible(c_tptp_spindleheadmt), true, tptpofobject(X, f_tptpquantityfn_1(n_328)), true), true) = true.
% 39.88/5.43
% 39.88/5.43 Goal 1 (query118_1): tptpofobject(c_theprototypicalfurpelt, f_tptpquantityfn_1(n_328)) = true.
% 39.88/5.43 Proof:
% 39.88/5.43 tptpofobject(c_theprototypicalfurpelt, f_tptpquantityfn_1(n_328))
% 39.88/5.43 = { by axiom 4 (ifeq_axiom) R->L }
% 39.88/5.43 ifeq(true, true, tptpofobject(c_theprototypicalfurpelt, f_tptpquantityfn_1(n_328)), true)
% 39.88/5.43 = { by axiom 2 (ax1_260) R->L }
% 39.88/5.43 ifeq(furpelt(c_theprototypicalfurpelt), true, tptpofobject(c_theprototypicalfurpelt, f_tptpquantityfn_1(n_328)), true)
% 39.88/5.43 = { by axiom 4 (ifeq_axiom) R->L }
% 39.88/5.43 ifeq(furpelt(c_theprototypicalfurpelt), true, ifeq(true, true, tptpofobject(c_theprototypicalfurpelt, f_tptpquantityfn_1(n_328)), true), true)
% 39.88/5.43 = { by axiom 5 (ax1_1123) R->L }
% 39.88/5.43 ifeq(furpelt(c_theprototypicalfurpelt), true, 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, tptpofobject(c_theprototypicalfurpelt, f_tptpquantityfn_1(n_328)), true), true)
% 39.88/5.43 = { by axiom 3 (ax1_446) }
% 39.88/5.43 ifeq(furpelt(c_theprototypicalfurpelt), true, ifeq(ifeq(mtvisible(c_tptp_member2356_mt), true, ifeq(true, true, mtvisible(c_tptp_spindleheadmt), true), true), true, tptpofobject(c_theprototypicalfurpelt, f_tptpquantityfn_1(n_328)), true), true)
% 39.88/5.43 = { by axiom 1 (query118) }
% 39.88/5.43 ifeq(furpelt(c_theprototypicalfurpelt), true, ifeq(ifeq(true, true, ifeq(true, true, mtvisible(c_tptp_spindleheadmt), true), true), true, tptpofobject(c_theprototypicalfurpelt, f_tptpquantityfn_1(n_328)), true), true)
% 39.88/5.43 = { by axiom 4 (ifeq_axiom) }
% 39.88/5.43 ifeq(furpelt(c_theprototypicalfurpelt), true, ifeq(ifeq(true, true, mtvisible(c_tptp_spindleheadmt), true), true, tptpofobject(c_theprototypicalfurpelt, f_tptpquantityfn_1(n_328)), true), true)
% 39.88/5.43 = { by axiom 4 (ifeq_axiom) }
% 39.88/5.43 ifeq(furpelt(c_theprototypicalfurpelt), true, ifeq(mtvisible(c_tptp_spindleheadmt), true, tptpofobject(c_theprototypicalfurpelt, f_tptpquantityfn_1(n_328)), true), true)
% 39.88/5.43 = { by axiom 6 (ax1_80) }
% 39.88/5.43 true
% 39.88/5.43 % SZS output end Proof
% 39.88/5.43
% 39.88/5.43 RESULT: Theorem (the conjecture is true).
%------------------------------------------------------------------------------