%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : CSR062+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.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 09:41:04 AM UTC 2026
% Result : Theorem 178.62s 22.87s
% Output : Proof 179.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR062+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.18 % Computer : n015.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 22:25:46 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 178.62/22.87 Command-line arguments: --lhs-weight 9 --flip-ordering --complete-subsets --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 178.62/22.87
% 178.62/22.87 % SZS status Theorem
% 178.62/22.87
% 178.62/22.89 % SZS output start Proof
% 178.62/22.89 Axiom 1 (query112): mtvisible(c_tptp_member3205_mt) = true.
% 178.62/22.89 Axiom 2 (ax1_254): genlmt(c_tptp_spindleheadmt, c_cyclistsmt) = true.
% 178.62/22.89 Axiom 3 (ax1_34): genlmt(c_tptp_member3205_mt, c_tptp_spindleheadmt) = true.
% 178.62/22.89 Axiom 4 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 178.62/22.89 Axiom 5 (ax1_460): ifeq(mtvisible(c_cyclistsmt), true, tptptypes_8_390(c_pushingwithfingers, c_tptpcol_15_4027), true) = true.
% 178.62/22.89 Axiom 6 (ax1_302): ifeq(tptptypes_7_389(X, Y), true, tptptypes_6_388(Y, X), true) = true.
% 178.62/22.89 Axiom 7 (ax1_99): ifeq(tptptypes_6_388(X, Y), true, tptptypes_5_387(X, Y), true) = true.
% 178.62/22.89 Axiom 8 (ax1_61): ifeq(tptptypes_8_390(X, Y), true, tptptypes_7_389(X, Y), true) = true.
% 178.62/22.89 Axiom 9 (ax1_1123): ifeq(mtvisible(X), true, ifeq(genlmt(X, Y), true, mtvisible(Y), true), true) = true.
% 178.62/22.89
% 178.62/22.89 Goal 1 (query112_1): tptptypes_5_387(X, c_pushingwithfingers) = true.
% 178.62/22.89 The goal is true when:
% 178.62/22.89 X = c_tptpcol_15_4027
% 178.62/22.89
% 178.62/22.89 Proof:
% 178.62/22.89 tptptypes_5_387(c_tptpcol_15_4027, c_pushingwithfingers)
% 178.62/22.89 = { by axiom 4 (ifeq_axiom) R->L }
% 178.62/22.89 ifeq(true, true, tptptypes_5_387(c_tptpcol_15_4027, c_pushingwithfingers), true)
% 178.62/22.89 = { by axiom 6 (ax1_302) R->L }
% 178.62/22.89 ifeq(ifeq(tptptypes_7_389(c_pushingwithfingers, c_tptpcol_15_4027), true, tptptypes_6_388(c_tptpcol_15_4027, c_pushingwithfingers), true), true, tptptypes_5_387(c_tptpcol_15_4027, c_pushingwithfingers), true)
% 178.62/22.89 = { by axiom 4 (ifeq_axiom) R->L }
% 178.62/22.90 ifeq(ifeq(ifeq(true, true, tptptypes_7_389(c_pushingwithfingers, c_tptpcol_15_4027), true), true, tptptypes_6_388(c_tptpcol_15_4027, c_pushingwithfingers), true), true, tptptypes_5_387(c_tptpcol_15_4027, c_pushingwithfingers), true)
% 178.62/22.90 = { by axiom 5 (ax1_460) R->L }
% 178.62/22.90 ifeq(ifeq(ifeq(ifeq(mtvisible(c_cyclistsmt), true, tptptypes_8_390(c_pushingwithfingers, c_tptpcol_15_4027), true), true, tptptypes_7_389(c_pushingwithfingers, c_tptpcol_15_4027), true), true, tptptypes_6_388(c_tptpcol_15_4027, c_pushingwithfingers), true), true, tptptypes_5_387(c_tptpcol_15_4027, c_pushingwithfingers), true)
% 178.62/22.90 = { by axiom 4 (ifeq_axiom) R->L }
% 178.62/22.90 ifeq(ifeq(ifeq(ifeq(ifeq(true, true, mtvisible(c_cyclistsmt), true), true, tptptypes_8_390(c_pushingwithfingers, c_tptpcol_15_4027), true), true, tptptypes_7_389(c_pushingwithfingers, c_tptpcol_15_4027), true), true, tptptypes_6_388(c_tptpcol_15_4027, c_pushingwithfingers), true), true, tptptypes_5_387(c_tptpcol_15_4027, c_pushingwithfingers), true)
% 178.62/22.90 = { by axiom 4 (ifeq_axiom) R->L }
% 178.62/22.90 ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(true, true, mtvisible(c_cyclistsmt), true), true), true, tptptypes_8_390(c_pushingwithfingers, c_tptpcol_15_4027), true), true, tptptypes_7_389(c_pushingwithfingers, c_tptpcol_15_4027), true), true, tptptypes_6_388(c_tptpcol_15_4027, c_pushingwithfingers), true), true, tptptypes_5_387(c_tptpcol_15_4027, c_pushingwithfingers), true)
% 178.62/22.90 = { by axiom 9 (ax1_1123) R->L }
% 178.62/22.90 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(mtvisible(c_tptp_member3205_mt), true, ifeq(genlmt(c_tptp_member3205_mt, c_tptp_spindleheadmt), true, mtvisible(c_tptp_spindleheadmt), true), true), true, ifeq(true, true, mtvisible(c_cyclistsmt), true), true), true, tptptypes_8_390(c_pushingwithfingers, c_tptpcol_15_4027), true), true, tptptypes_7_389(c_pushingwithfingers, c_tptpcol_15_4027), true), true, tptptypes_6_388(c_tptpcol_15_4027, c_pushingwithfingers), true), true, tptptypes_5_387(c_tptpcol_15_4027, c_pushingwithfingers), true)
% 178.62/22.90 = { by axiom 3 (ax1_34) }
% 178.62/22.90 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(mtvisible(c_tptp_member3205_mt), true, ifeq(true, true, mtvisible(c_tptp_spindleheadmt), true), true), true, ifeq(true, true, mtvisible(c_cyclistsmt), true), true), true, tptptypes_8_390(c_pushingwithfingers, c_tptpcol_15_4027), true), true, tptptypes_7_389(c_pushingwithfingers, c_tptpcol_15_4027), true), true, tptptypes_6_388(c_tptpcol_15_4027, c_pushingwithfingers), true), true, tptptypes_5_387(c_tptpcol_15_4027, c_pushingwithfingers), true)
% 178.62/22.90 = { by axiom 1 (query112) }
% 178.62/22.90 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(true, true, mtvisible(c_tptp_spindleheadmt), true), true), true, ifeq(true, true, mtvisible(c_cyclistsmt), true), true), true, tptptypes_8_390(c_pushingwithfingers, c_tptpcol_15_4027), true), true, tptptypes_7_389(c_pushingwithfingers, c_tptpcol_15_4027), true), true, tptptypes_6_388(c_tptpcol_15_4027, c_pushingwithfingers), true), true, tptptypes_5_387(c_tptpcol_15_4027, c_pushingwithfingers), true)
% 178.62/22.90 = { by axiom 4 (ifeq_axiom) }
% 178.62/22.90 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, mtvisible(c_tptp_spindleheadmt), true), true, ifeq(true, true, mtvisible(c_cyclistsmt), true), true), true, tptptypes_8_390(c_pushingwithfingers, c_tptpcol_15_4027), true), true, tptptypes_7_389(c_pushingwithfingers, c_tptpcol_15_4027), true), true, tptptypes_6_388(c_tptpcol_15_4027, c_pushingwithfingers), true), true, tptptypes_5_387(c_tptpcol_15_4027, c_pushingwithfingers), true)
% 178.62/22.90 = { by axiom 4 (ifeq_axiom) }
% 178.62/22.90 ifeq(ifeq(ifeq(ifeq(ifeq(mtvisible(c_tptp_spindleheadmt), true, ifeq(true, true, mtvisible(c_cyclistsmt), true), true), true, tptptypes_8_390(c_pushingwithfingers, c_tptpcol_15_4027), true), true, tptptypes_7_389(c_pushingwithfingers, c_tptpcol_15_4027), true), true, tptptypes_6_388(c_tptpcol_15_4027, c_pushingwithfingers), true), true, tptptypes_5_387(c_tptpcol_15_4027, c_pushingwithfingers), true)
% 179.41/22.90 = { by axiom 2 (ax1_254) R->L }
% 179.41/22.90 ifeq(ifeq(ifeq(ifeq(ifeq(mtvisible(c_tptp_spindleheadmt), true, ifeq(genlmt(c_tptp_spindleheadmt, c_cyclistsmt), true, mtvisible(c_cyclistsmt), true), true), true, tptptypes_8_390(c_pushingwithfingers, c_tptpcol_15_4027), true), true, tptptypes_7_389(c_pushingwithfingers, c_tptpcol_15_4027), true), true, tptptypes_6_388(c_tptpcol_15_4027, c_pushingwithfingers), true), true, tptptypes_5_387(c_tptpcol_15_4027, c_pushingwithfingers), true)
% 179.41/22.90 = { by axiom 9 (ax1_1123) }
% 179.41/22.90 ifeq(ifeq(ifeq(ifeq(true, true, tptptypes_8_390(c_pushingwithfingers, c_tptpcol_15_4027), true), true, tptptypes_7_389(c_pushingwithfingers, c_tptpcol_15_4027), true), true, tptptypes_6_388(c_tptpcol_15_4027, c_pushingwithfingers), true), true, tptptypes_5_387(c_tptpcol_15_4027, c_pushingwithfingers), true)
% 179.41/22.90 = { by axiom 4 (ifeq_axiom) }
% 179.41/22.90 ifeq(ifeq(ifeq(tptptypes_8_390(c_pushingwithfingers, c_tptpcol_15_4027), true, tptptypes_7_389(c_pushingwithfingers, c_tptpcol_15_4027), true), true, tptptypes_6_388(c_tptpcol_15_4027, c_pushingwithfingers), true), true, tptptypes_5_387(c_tptpcol_15_4027, c_pushingwithfingers), true)
% 179.41/22.90 = { by axiom 8 (ax1_61) }
% 179.41/22.90 ifeq(ifeq(true, true, tptptypes_6_388(c_tptpcol_15_4027, c_pushingwithfingers), true), true, tptptypes_5_387(c_tptpcol_15_4027, c_pushingwithfingers), true)
% 179.41/22.90 = { by axiom 4 (ifeq_axiom) }
% 179.41/22.90 ifeq(tptptypes_6_388(c_tptpcol_15_4027, c_pushingwithfingers), true, tptptypes_5_387(c_tptpcol_15_4027, c_pushingwithfingers), true)
% 179.41/22.90 = { by axiom 7 (ax1_99) }
% 179.41/22.90 true
% 179.41/22.90 % SZS output end Proof
% 179.41/22.90
% 179.41/22.90 RESULT: Theorem (the conjecture is true).
%------------------------------------------------------------------------------