%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : CSR065+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 09:41:05 AM UTC 2026
% Result : Theorem 103.43s 13.60s
% Output : Proof 104.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR065+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.16 % Computer : n016.cluster.edu
% 0.09/0.16 % Model : x86_64 x86_64
% 0.09/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.16 % Memory : 8046.5625MB
% 0.09/0.16 % 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 22:27:48 UTC 2026
% 0.09/0.16 % CPUTime :
% 0.09/0.16 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 103.43/13.60 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
% 103.43/13.60
% 103.43/13.60 % SZS status Theorem
% 103.43/13.60
% 104.25/13.60 % SZS output start Proof
% 104.25/13.60 Axiom 1 (query115): mtvisible(c_tptp_spindlecollectormt) = true.
% 104.25/13.60 Axiom 2 (ax1_254): genlmt(c_tptp_spindleheadmt, c_cyclistsmt) = true.
% 104.25/13.60 Axiom 3 (ax1_419): genlmt(c_tptp_spindlecollectormt, c_tptp_member235_mt) = true.
% 104.25/13.60 Axiom 4 (ax1_364): genlmt(c_tptp_spindlecollectormt, c_tptp_member3993_mt) = true.
% 104.25/13.60 Axiom 5 (ax1_315): genlmt(c_tptp_member3993_mt, c_tptp_spindleheadmt) = true.
% 104.25/13.60 Axiom 6 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 104.25/13.60 Axiom 7 (ax1_25): ifeq(mtvisible(c_cyclistsmt), true, ridgeline_topographical(c_tptpridgeline_topographical), true) = true.
% 104.25/13.60 Axiom 8 (ax1_1123): ifeq(mtvisible(X), true, ifeq(genlmt(X, Y), true, mtvisible(Y), true), true) = true.
% 104.25/13.61 Axiom 9 (ax1_105): ifeq(ridgeline_topographical(X), true, ifeq(mtvisible(c_tptp_member235_mt), true, tptpofobject(X, f_tptpquantityfn_13(n_468)), true), true) = true.
% 104.25/13.61
% 104.25/13.61 Goal 1 (query115_1): tptpofobject(c_tptpridgeline_topographical, f_tptpquantityfn_13(n_468)) = true.
% 104.25/13.61 Proof:
% 104.25/13.61 tptpofobject(c_tptpridgeline_topographical, f_tptpquantityfn_13(n_468))
% 104.25/13.61 = { by axiom 6 (ifeq_axiom) R->L }
% 104.25/13.61 ifeq(true, true, tptpofobject(c_tptpridgeline_topographical, f_tptpquantityfn_13(n_468)), true)
% 104.25/13.61 = { by axiom 7 (ax1_25) R->L }
% 104.25/13.61 ifeq(ifeq(mtvisible(c_cyclistsmt), true, ridgeline_topographical(c_tptpridgeline_topographical), true), true, tptpofobject(c_tptpridgeline_topographical, f_tptpquantityfn_13(n_468)), true)
% 104.25/13.61 = { by axiom 6 (ifeq_axiom) R->L }
% 104.25/13.61 ifeq(ifeq(ifeq(true, true, mtvisible(c_cyclistsmt), true), true, ridgeline_topographical(c_tptpridgeline_topographical), true), true, tptpofobject(c_tptpridgeline_topographical, f_tptpquantityfn_13(n_468)), true)
% 104.25/13.61 = { by axiom 8 (ax1_1123) R->L }
% 104.25/13.61 ifeq(ifeq(ifeq(ifeq(mtvisible(c_tptp_member3993_mt), true, ifeq(genlmt(c_tptp_member3993_mt, c_tptp_spindleheadmt), true, mtvisible(c_tptp_spindleheadmt), true), true), true, mtvisible(c_cyclistsmt), true), true, ridgeline_topographical(c_tptpridgeline_topographical), true), true, tptpofobject(c_tptpridgeline_topographical, f_tptpquantityfn_13(n_468)), true)
% 104.25/13.61 = { by axiom 5 (ax1_315) }
% 104.25/13.61 ifeq(ifeq(ifeq(ifeq(mtvisible(c_tptp_member3993_mt), true, ifeq(true, true, mtvisible(c_tptp_spindleheadmt), true), true), true, mtvisible(c_cyclistsmt), true), true, ridgeline_topographical(c_tptpridgeline_topographical), true), true, tptpofobject(c_tptpridgeline_topographical, f_tptpquantityfn_13(n_468)), true)
% 104.25/13.61 = { by axiom 6 (ifeq_axiom) R->L }
% 104.25/13.61 ifeq(ifeq(ifeq(ifeq(ifeq(true, true, mtvisible(c_tptp_member3993_mt), true), true, ifeq(true, true, mtvisible(c_tptp_spindleheadmt), true), true), true, mtvisible(c_cyclistsmt), true), true, ridgeline_topographical(c_tptpridgeline_topographical), true), true, tptpofobject(c_tptpridgeline_topographical, f_tptpquantityfn_13(n_468)), true)
% 104.25/13.61 = { by axiom 6 (ifeq_axiom) R->L }
% 104.25/13.61 ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(true, true, mtvisible(c_tptp_member3993_mt), true), true), true, ifeq(true, true, mtvisible(c_tptp_spindleheadmt), true), true), true, mtvisible(c_cyclistsmt), true), true, ridgeline_topographical(c_tptpridgeline_topographical), true), true, tptpofobject(c_tptpridgeline_topographical, f_tptpquantityfn_13(n_468)), true)
% 104.25/13.61 = { by axiom 1 (query115) R->L }
% 104.25/13.61 ifeq(ifeq(ifeq(ifeq(ifeq(mtvisible(c_tptp_spindlecollectormt), true, ifeq(true, true, mtvisible(c_tptp_member3993_mt), true), true), true, ifeq(true, true, mtvisible(c_tptp_spindleheadmt), true), true), true, mtvisible(c_cyclistsmt), true), true, ridgeline_topographical(c_tptpridgeline_topographical), true), true, tptpofobject(c_tptpridgeline_topographical, f_tptpquantityfn_13(n_468)), true)
% 104.25/13.61 = { by axiom 4 (ax1_364) R->L }
% 104.25/13.61 ifeq(ifeq(ifeq(ifeq(ifeq(mtvisible(c_tptp_spindlecollectormt), true, ifeq(genlmt(c_tptp_spindlecollectormt, c_tptp_member3993_mt), true, mtvisible(c_tptp_member3993_mt), true), true), true, ifeq(true, true, mtvisible(c_tptp_spindleheadmt), true), true), true, mtvisible(c_cyclistsmt), true), true, ridgeline_topographical(c_tptpridgeline_topographical), true), true, tptpofobject(c_tptpridgeline_topographical, f_tptpquantityfn_13(n_468)), true)
% 104.25/13.61 = { by axiom 8 (ax1_1123) }
% 104.25/13.61 ifeq(ifeq(ifeq(ifeq(true, true, ifeq(true, true, mtvisible(c_tptp_spindleheadmt), true), true), true, mtvisible(c_cyclistsmt), true), true, ridgeline_topographical(c_tptpridgeline_topographical), true), true, tptpofobject(c_tptpridgeline_topographical, f_tptpquantityfn_13(n_468)), true)
% 104.25/13.61 = { by axiom 6 (ifeq_axiom) }
% 104.25/13.61 ifeq(ifeq(ifeq(ifeq(true, true, mtvisible(c_tptp_spindleheadmt), true), true, mtvisible(c_cyclistsmt), true), true, ridgeline_topographical(c_tptpridgeline_topographical), true), true, tptpofobject(c_tptpridgeline_topographical, f_tptpquantityfn_13(n_468)), true)
% 104.25/13.61 = { by axiom 6 (ifeq_axiom) }
% 104.25/13.61 ifeq(ifeq(ifeq(mtvisible(c_tptp_spindleheadmt), true, mtvisible(c_cyclistsmt), true), true, ridgeline_topographical(c_tptpridgeline_topographical), true), true, tptpofobject(c_tptpridgeline_topographical, f_tptpquantityfn_13(n_468)), true)
% 104.25/13.61 = { by axiom 6 (ifeq_axiom) R->L }
% 104.25/13.61 ifeq(ifeq(ifeq(mtvisible(c_tptp_spindleheadmt), true, ifeq(true, true, mtvisible(c_cyclistsmt), true), true), true, ridgeline_topographical(c_tptpridgeline_topographical), true), true, tptpofobject(c_tptpridgeline_topographical, f_tptpquantityfn_13(n_468)), true)
% 104.25/13.61 = { by axiom 2 (ax1_254) R->L }
% 104.25/13.61 ifeq(ifeq(ifeq(mtvisible(c_tptp_spindleheadmt), true, ifeq(genlmt(c_tptp_spindleheadmt, c_cyclistsmt), true, mtvisible(c_cyclistsmt), true), true), true, ridgeline_topographical(c_tptpridgeline_topographical), true), true, tptpofobject(c_tptpridgeline_topographical, f_tptpquantityfn_13(n_468)), true)
% 104.25/13.61 = { by axiom 8 (ax1_1123) }
% 104.25/13.61 ifeq(ifeq(true, true, ridgeline_topographical(c_tptpridgeline_topographical), true), true, tptpofobject(c_tptpridgeline_topographical, f_tptpquantityfn_13(n_468)), true)
% 104.25/13.61 = { by axiom 6 (ifeq_axiom) }
% 104.25/13.61 ifeq(ridgeline_topographical(c_tptpridgeline_topographical), true, tptpofobject(c_tptpridgeline_topographical, f_tptpquantityfn_13(n_468)), true)
% 104.25/13.61 = { by axiom 6 (ifeq_axiom) R->L }
% 104.25/13.61 ifeq(ridgeline_topographical(c_tptpridgeline_topographical), true, ifeq(true, true, tptpofobject(c_tptpridgeline_topographical, f_tptpquantityfn_13(n_468)), true), true)
% 104.25/13.61 = { by axiom 8 (ax1_1123) R->L }
% 104.25/13.61 ifeq(ridgeline_topographical(c_tptpridgeline_topographical), true, ifeq(ifeq(mtvisible(c_tptp_spindlecollectormt), true, ifeq(genlmt(c_tptp_spindlecollectormt, c_tptp_member235_mt), true, mtvisible(c_tptp_member235_mt), true), true), true, tptpofobject(c_tptpridgeline_topographical, f_tptpquantityfn_13(n_468)), true), true)
% 104.25/13.61 = { by axiom 3 (ax1_419) }
% 104.25/13.61 ifeq(ridgeline_topographical(c_tptpridgeline_topographical), true, ifeq(ifeq(mtvisible(c_tptp_spindlecollectormt), true, ifeq(true, true, mtvisible(c_tptp_member235_mt), true), true), true, tptpofobject(c_tptpridgeline_topographical, f_tptpquantityfn_13(n_468)), true), true)
% 104.25/13.61 = { by axiom 1 (query115) }
% 104.25/13.61 ifeq(ridgeline_topographical(c_tptpridgeline_topographical), true, ifeq(ifeq(true, true, ifeq(true, true, mtvisible(c_tptp_member235_mt), true), true), true, tptpofobject(c_tptpridgeline_topographical, f_tptpquantityfn_13(n_468)), true), true)
% 104.25/13.61 = { by axiom 6 (ifeq_axiom) }
% 104.25/13.61 ifeq(ridgeline_topographical(c_tptpridgeline_topographical), true, ifeq(ifeq(true, true, mtvisible(c_tptp_member235_mt), true), true, tptpofobject(c_tptpridgeline_topographical, f_tptpquantityfn_13(n_468)), true), true)
% 104.25/13.61 = { by axiom 6 (ifeq_axiom) }
% 104.25/13.61 ifeq(ridgeline_topographical(c_tptpridgeline_topographical), true, ifeq(mtvisible(c_tptp_member235_mt), true, tptpofobject(c_tptpridgeline_topographical, f_tptpquantityfn_13(n_468)), true), true)
% 104.25/13.61 = { by axiom 9 (ax1_105) }
% 104.25/13.61 true
% 104.25/13.61 % SZS output end Proof
% 104.25/13.61
% 104.25/13.61 RESULT: Theorem (the conjecture is true).
%------------------------------------------------------------------------------