%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : CSR026+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.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 09:40:46 AM UTC 2026
% Result : Theorem 173.99s 22.23s
% Output : Proof 173.99s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR026+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.18 % Computer : n017.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 22:02:06 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 173.99/22.23 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
% 173.99/22.23
% 173.99/22.23 % SZS status Theorem
% 173.99/22.23
% 173.99/22.25 % SZS output start Proof
% 173.99/22.25 Axiom 1 (query76): mtvisible(c_tptp_spindlecollectormt) = true.
% 173.99/22.25 Axiom 2 (ax1_254): genlmt(c_tptp_spindleheadmt, c_cyclistsmt) = true.
% 173.99/22.25 Axiom 3 (ax1_344): genlmt(c_tptp_spindlecollectormt, c_tptp_member2701_mt) = true.
% 173.99/22.25 Axiom 4 (ax1_364): genlmt(c_tptp_spindlecollectormt, c_tptp_member3993_mt) = true.
% 173.99/22.25 Axiom 5 (ax1_315): genlmt(c_tptp_member3993_mt, c_tptp_spindleheadmt) = true.
% 173.99/22.25 Axiom 6 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 173.99/22.25 Axiom 7 (ax1_163): ifeq(mtvisible(c_cyclistsmt), true, runningshorts(c_tptprunningshorts), true) = true.
% 173.99/22.25 Axiom 8 (ax1_1123): ifeq(mtvisible(X), true, ifeq(genlmt(X, Y), true, mtvisible(Y), true), true) = true.
% 173.99/22.25 Axiom 9 (ax1_440): ifeq(runningshorts(X), true, ifeq(mtvisible(c_tptp_member2701_mt), true, tptpofobject(X, f_tptpquantityfn_2(n_756)), true), true) = true.
% 173.99/22.25
% 173.99/22.25 Goal 1 (query76_1): tptpofobject(c_tptprunningshorts, f_tptpquantityfn_2(n_756)) = true.
% 173.99/22.25 Proof:
% 173.99/22.25 tptpofobject(c_tptprunningshorts, f_tptpquantityfn_2(n_756))
% 173.99/22.25 = { by axiom 6 (ifeq_axiom) R->L }
% 173.99/22.25 ifeq(true, true, tptpofobject(c_tptprunningshorts, f_tptpquantityfn_2(n_756)), true)
% 173.99/22.25 = { by axiom 7 (ax1_163) R->L }
% 173.99/22.25 ifeq(ifeq(mtvisible(c_cyclistsmt), true, runningshorts(c_tptprunningshorts), true), true, tptpofobject(c_tptprunningshorts, f_tptpquantityfn_2(n_756)), true)
% 173.99/22.25 = { by axiom 6 (ifeq_axiom) R->L }
% 173.99/22.25 ifeq(ifeq(ifeq(true, true, mtvisible(c_cyclistsmt), true), true, runningshorts(c_tptprunningshorts), true), true, tptpofobject(c_tptprunningshorts, f_tptpquantityfn_2(n_756)), true)
% 173.99/22.25 = { by axiom 8 (ax1_1123) R->L }
% 173.99/22.25 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, runningshorts(c_tptprunningshorts), true), true, tptpofobject(c_tptprunningshorts, f_tptpquantityfn_2(n_756)), true)
% 173.99/22.25 = { by axiom 5 (ax1_315) }
% 173.99/22.25 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, runningshorts(c_tptprunningshorts), true), true, tptpofobject(c_tptprunningshorts, f_tptpquantityfn_2(n_756)), true)
% 173.99/22.25 = { by axiom 6 (ifeq_axiom) R->L }
% 173.99/22.25 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, runningshorts(c_tptprunningshorts), true), true, tptpofobject(c_tptprunningshorts, f_tptpquantityfn_2(n_756)), true)
% 173.99/22.25 = { by axiom 6 (ifeq_axiom) R->L }
% 173.99/22.25 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, runningshorts(c_tptprunningshorts), true), true, tptpofobject(c_tptprunningshorts, f_tptpquantityfn_2(n_756)), true)
% 173.99/22.25 = { by axiom 1 (query76) R->L }
% 173.99/22.25 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, runningshorts(c_tptprunningshorts), true), true, tptpofobject(c_tptprunningshorts, f_tptpquantityfn_2(n_756)), true)
% 173.99/22.25 = { by axiom 4 (ax1_364) R->L }
% 173.99/22.25 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, runningshorts(c_tptprunningshorts), true), true, tptpofobject(c_tptprunningshorts, f_tptpquantityfn_2(n_756)), true)
% 173.99/22.25 = { by axiom 8 (ax1_1123) }
% 173.99/22.25 ifeq(ifeq(ifeq(ifeq(true, true, ifeq(true, true, mtvisible(c_tptp_spindleheadmt), true), true), true, mtvisible(c_cyclistsmt), true), true, runningshorts(c_tptprunningshorts), true), true, tptpofobject(c_tptprunningshorts, f_tptpquantityfn_2(n_756)), true)
% 173.99/22.26 = { by axiom 6 (ifeq_axiom) }
% 173.99/22.26 ifeq(ifeq(ifeq(ifeq(true, true, mtvisible(c_tptp_spindleheadmt), true), true, mtvisible(c_cyclistsmt), true), true, runningshorts(c_tptprunningshorts), true), true, tptpofobject(c_tptprunningshorts, f_tptpquantityfn_2(n_756)), true)
% 173.99/22.26 = { by axiom 6 (ifeq_axiom) }
% 173.99/22.26 ifeq(ifeq(ifeq(mtvisible(c_tptp_spindleheadmt), true, mtvisible(c_cyclistsmt), true), true, runningshorts(c_tptprunningshorts), true), true, tptpofobject(c_tptprunningshorts, f_tptpquantityfn_2(n_756)), true)
% 173.99/22.26 = { by axiom 6 (ifeq_axiom) R->L }
% 173.99/22.26 ifeq(ifeq(ifeq(mtvisible(c_tptp_spindleheadmt), true, ifeq(true, true, mtvisible(c_cyclistsmt), true), true), true, runningshorts(c_tptprunningshorts), true), true, tptpofobject(c_tptprunningshorts, f_tptpquantityfn_2(n_756)), true)
% 173.99/22.26 = { by axiom 2 (ax1_254) R->L }
% 173.99/22.26 ifeq(ifeq(ifeq(mtvisible(c_tptp_spindleheadmt), true, ifeq(genlmt(c_tptp_spindleheadmt, c_cyclistsmt), true, mtvisible(c_cyclistsmt), true), true), true, runningshorts(c_tptprunningshorts), true), true, tptpofobject(c_tptprunningshorts, f_tptpquantityfn_2(n_756)), true)
% 173.99/22.26 = { by axiom 8 (ax1_1123) }
% 173.99/22.26 ifeq(ifeq(true, true, runningshorts(c_tptprunningshorts), true), true, tptpofobject(c_tptprunningshorts, f_tptpquantityfn_2(n_756)), true)
% 173.99/22.26 = { by axiom 6 (ifeq_axiom) }
% 173.99/22.26 ifeq(runningshorts(c_tptprunningshorts), true, tptpofobject(c_tptprunningshorts, f_tptpquantityfn_2(n_756)), true)
% 173.99/22.26 = { by axiom 6 (ifeq_axiom) R->L }
% 173.99/22.26 ifeq(runningshorts(c_tptprunningshorts), true, ifeq(true, true, tptpofobject(c_tptprunningshorts, f_tptpquantityfn_2(n_756)), true), true)
% 173.99/22.26 = { by axiom 8 (ax1_1123) R->L }
% 173.99/22.26 ifeq(runningshorts(c_tptprunningshorts), true, ifeq(ifeq(mtvisible(c_tptp_spindlecollectormt), true, ifeq(genlmt(c_tptp_spindlecollectormt, c_tptp_member2701_mt), true, mtvisible(c_tptp_member2701_mt), true), true), true, tptpofobject(c_tptprunningshorts, f_tptpquantityfn_2(n_756)), true), true)
% 173.99/22.26 = { by axiom 3 (ax1_344) }
% 173.99/22.26 ifeq(runningshorts(c_tptprunningshorts), true, ifeq(ifeq(mtvisible(c_tptp_spindlecollectormt), true, ifeq(true, true, mtvisible(c_tptp_member2701_mt), true), true), true, tptpofobject(c_tptprunningshorts, f_tptpquantityfn_2(n_756)), true), true)
% 173.99/22.26 = { by axiom 1 (query76) }
% 173.99/22.26 ifeq(runningshorts(c_tptprunningshorts), true, ifeq(ifeq(true, true, ifeq(true, true, mtvisible(c_tptp_member2701_mt), true), true), true, tptpofobject(c_tptprunningshorts, f_tptpquantityfn_2(n_756)), true), true)
% 173.99/22.26 = { by axiom 6 (ifeq_axiom) }
% 173.99/22.26 ifeq(runningshorts(c_tptprunningshorts), true, ifeq(ifeq(true, true, mtvisible(c_tptp_member2701_mt), true), true, tptpofobject(c_tptprunningshorts, f_tptpquantityfn_2(n_756)), true), true)
% 173.99/22.26 = { by axiom 6 (ifeq_axiom) }
% 173.99/22.26 ifeq(runningshorts(c_tptprunningshorts), true, ifeq(mtvisible(c_tptp_member2701_mt), true, tptpofobject(c_tptprunningshorts, f_tptpquantityfn_2(n_756)), true), true)
% 173.99/22.26 = { by axiom 9 (ax1_440) }
% 173.99/22.26 true
% 173.99/22.26 % SZS output end Proof
% 173.99/22.26
% 173.99/22.26 RESULT: Theorem (the conjecture is true).
%------------------------------------------------------------------------------