0.00/0.03	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.06	% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM
0.11/0.38	% Computer : n002.cluster.edu
0.11/0.38	% Model    : x86_64 x86_64
0.11/0.38	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.11/0.38	% Memory   : 8046.5625MB
0.11/0.38	% OS       : Linux 6.8.0-71-generic
0.11/0.38	% CPULimit : 1440
0.11/0.38	% WCLimit  : 180
0.11/0.38	% DateTime : Mon Jul 27 15:18:59 UTC 2026
0.11/0.38	% CPUTime  : 
0.11/0.38	Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM
0.11/0.43	Running higher-order theorem proving
5.14/5.46	Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=180 /export/starexec/sandbox/tmp/tmp.E9SHiszTZz/E---3.1_3469010.p
487.59/167.88	% Version: 3.5.1-ho
487.59/167.88	% partial match(1): HMLMSMSMSSLCHFA
487.59/167.88	% Preprocessing class: HMLMSMLMSSLCHFA.
487.59/167.88	% Scheduled 4 strats onto 8 cores with 179 seconds (1432 total)
487.59/167.88	% Starting new_ho_10 with 895s (5) cores
487.59/167.88	% Starting sh5l with 179s (1) cores
487.59/167.88	% Starting new_bool_1 with 179s (1) cores
487.59/167.88	% Starting new_bool_2 with 179s (1) cores
487.59/167.88	% new_bool_2 with pid 3469026 completed with status 0
487.59/167.88	% Result found by new_bool_2
487.59/167.88	% partial match(1): HMLMSMSMSSLCHFA
487.59/167.88	% Preprocessing class: HMLMSMLMSSLCHFA.
487.59/167.88	% Scheduled 4 strats onto 8 cores with 179 seconds (1432 total)
487.59/167.88	% Starting new_ho_10 with 895s (5) cores
487.59/167.88	% Starting sh5l with 179s (1) cores
487.59/167.88	% Starting new_bool_1 with 179s (1) cores
487.59/167.88	% Starting new_bool_2 with 179s (1) cores
487.59/167.88	% (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
487.59/167.88	% SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
487.59/167.88	% Search class: HGHSM-SMLM32-DHFFFSBN
487.59/167.88	% Scheduled 5 strats onto 1 cores with 177 seconds (177 total)
487.59/167.88	% Starting SubtermCWHack with 18s (1) cores
487.59/167.88	% SubtermCWHack with pid 3469027 completed with status 8
487.59/167.88	% Starting new_ho_10 with 107s (1) cores
487.59/167.88	% new_ho_10 with pid 3469028 completed with status 8
487.59/167.88	% Starting sh5l with 18s (1) cores
487.59/167.88	% sh5l with pid 3469489 completed with status 8
487.59/167.88	% Starting new_bool_1 with 18s (1) cores
487.59/167.88	% new_bool_1 with pid 3469491 completed with status 0
487.59/167.88	% Result found by new_bool_1
487.59/167.88	% partial match(1): HMLMSMSMSSLCHFA
487.59/167.88	% Preprocessing class: HMLMSMLMSSLCHFA.
487.59/167.88	% Scheduled 4 strats onto 8 cores with 179 seconds (1432 total)
487.59/167.88	% Starting new_ho_10 with 895s (5) cores
487.59/167.88	% Starting sh5l with 179s (1) cores
487.59/167.88	% Starting new_bool_1 with 179s (1) cores
487.59/167.88	% Starting new_bool_2 with 179s (1) cores
487.59/167.88	% (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
487.59/167.88	% SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
487.59/167.88	% Search class: HGHSM-SMLM32-DHFFFSBN
487.59/167.88	% Scheduled 5 strats onto 1 cores with 177 seconds (177 total)
487.59/167.88	% Starting SubtermCWHack with 18s (1) cores
487.59/167.88	% SubtermCWHack with pid 3469027 completed with status 8
487.59/167.88	% Starting new_ho_10 with 107s (1) cores
487.59/167.88	% new_ho_10 with pid 3469028 completed with status 8
487.59/167.88	% Starting sh5l with 18s (1) cores
487.59/167.88	% sh5l with pid 3469489 completed with status 8
487.59/167.88	% Starting new_bool_1 with 18s (1) cores
487.59/167.88	% Preprocessing time       : 0.445 s
487.59/167.88	% Presaturation interreduction done
487.59/167.88	% SatCheck found unsatisfiable ground set
487.59/167.88	
487.59/167.88	% Proof found!
487.59/167.88	% SZS status Theorem
487.59/167.88	% SZS output start CNFRefutation
487.59/167.88	thf(decl_sort1, type, num: $tType).
487.59/167.88	thf(decl_sort2, type, nat: $tType).
487.59/167.88	thf(decl_sort3, type, product_prod_nat_nat: $tType).
487.59/167.88	thf(decl_sort4, type, option_nat: $tType).
487.59/167.88	thf(decl_sort5, type, vEBT_VEBT: $tType).
487.59/167.88	thf(decl_sort6, type, list_VEBT_VEBT: $tType).
487.59/167.88	thf(decl_sort7, type, option4927543243414619207at_nat: $tType).
487.59/167.88	thf(decl_239, type, one_one_nat: nat).
487.59/167.88	thf(decl_246, type, plus_plus_nat: nat > nat > nat).
487.59/167.88	thf(decl_258, type, times_times_nat: nat > nat > nat).
487.59/167.88	thf(decl_348, type, if_nat: $o > nat > nat > nat).
487.59/167.88	thf(decl_408, type, list_u1324408373059187874T_VEBT: list_VEBT_VEBT > nat > vEBT_VEBT > list_VEBT_VEBT).
487.59/167.88	thf(decl_426, type, nth_VEBT_VEBT: list_VEBT_VEBT > nat > vEBT_VEBT).
487.59/167.88	thf(decl_451, type, suc: nat > nat).
487.59/167.88	thf(decl_486, type, size_s6755466524823107622T_VEBT: list_VEBT_VEBT > nat).
487.59/167.88	thf(decl_520, type, bit0: num > num).
487.59/167.88	thf(decl_521, type, bit1: num > num).
487.59/167.88	thf(decl_522, type, one: num).
487.59/167.88	thf(decl_530, type, numeral_numeral_nat: num > nat).
487.59/167.88	thf(decl_536, type, none_nat: option_nat).
487.59/167.88	thf(decl_538, type, none_P5556105721700978146at_nat: option4927543243414619207at_nat).
487.59/167.88	thf(decl_541, type, some_P7363390416028606310at_nat: product_prod_nat_nat > option4927543243414619207at_nat).
487.59/167.88	thf(decl_550, type, the_nat: option_nat > nat).
487.59/167.88	thf(decl_571, type, ord_less_nat: nat > nat > $o).
487.59/167.88	thf(decl_629, type, power_power_nat: nat > nat > nat).
487.59/167.88	thf(decl_647, type, product_Pair_nat_nat: nat > nat > product_prod_nat_nat).
487.59/167.88	thf(decl_719, type, divide_divide_nat: nat > nat > nat).
487.59/167.88	thf(decl_864, type, vEBT_T_m_a_x_t: vEBT_VEBT > nat).
487.59/167.88	thf(decl_870, type, vEBT_T_m_i_n_N_u_l_l: vEBT_VEBT > nat).
487.59/167.88	thf(decl_872, type, vEBT_T_m_i_n_t: vEBT_VEBT > nat).
487.59/167.88	thf(decl_882, type, vEBT_Leaf: $o > $o > vEBT_VEBT).
487.59/167.88	thf(decl_883, type, vEBT_Node: option4927543243414619207at_nat > nat > list_VEBT_VEBT > vEBT_VEBT > vEBT_VEBT).
487.59/167.88	thf(decl_886, type, vEBT_VEBT_high: nat > nat > nat).
487.59/167.88	thf(decl_888, type, vEBT_VEBT_low: nat > nat > nat).
487.59/167.88	thf(decl_899, type, vEBT_T_d_e_l_e_t_e: vEBT_VEBT > nat > nat).
487.59/167.88	thf(decl_901, type, vEBT_vebt_delete: vEBT_VEBT > nat > vEBT_VEBT).
487.59/167.88	thf(decl_908, type, vEBT_VEBT_minNull: vEBT_VEBT > $o).
487.59/167.88	thf(decl_924, type, vEBT_vebt_maxt: vEBT_VEBT > option_nat).
487.59/167.88	thf(decl_926, type, vEBT_vebt_mint: vEBT_VEBT > option_nat).
487.59/167.88	thf(decl_960, type, deg: nat).
487.59/167.88	thf(decl_961, type, m: nat).
487.59/167.88	thf(decl_962, type, ma: nat).
487.59/167.88	thf(decl_963, type, mi: nat).
487.59/167.88	thf(decl_964, type, na: nat).
487.59/167.88	thf(decl_965, type, summary: vEBT_VEBT).
487.59/167.88	thf(decl_966, type, treeList: list_VEBT_VEBT).
487.59/167.88	thf(decl_967, type, xa: nat).
487.59/167.88	thf(decl_1296, type, epred31_2: vEBT_VEBT > nat > $o).
487.59/167.88	thf(decl_1297, type, epred32_2: vEBT_VEBT > nat > $o).
487.59/167.88	thf(decl_1298, type, esk299_2: vEBT_VEBT > nat > nat).
487.59/167.88	thf(decl_1299, type, esk300_2: vEBT_VEBT > nat > list_VEBT_VEBT).
487.59/167.88	thf(decl_1300, type, esk301_2: vEBT_VEBT > nat > vEBT_VEBT).
487.59/167.88	thf(decl_1301, type, esk302_2: vEBT_VEBT > nat > product_prod_nat_nat).
487.59/167.88	thf(decl_1302, type, esk303_2: vEBT_VEBT > nat > nat).
487.59/167.88	thf(decl_1303, type, esk304_2: vEBT_VEBT > nat > list_VEBT_VEBT).
487.59/167.88	thf(decl_1304, type, esk305_2: vEBT_VEBT > nat > vEBT_VEBT).
487.59/167.88	thf(fact_2903_T_092_060_094sub_062m_092_060_094sub_062i_092_060_094sub_062n_092_060_094sub_062N_092_060_094sub_062u_092_060_094sub_062l_092_060_094sub_062l_Oelims, axiom, ![X14895:vEBT_VEBT, X14896:nat]:((((vEBT_T_m_i_n_N_u_l_l @ X14895)=(X14896))=>((((X14895)=(vEBT_Leaf @ (~($true)) @ (~($true))))=>((X14896)!=(one_one_nat)))=>(((?[X171:$o]:(((X14895)=(vEBT_Leaf @ ((X171)) @ (($true)))))=>((X14896)!=(one_one_nat)))=>(~((((X14896)!=(one_one_nat))<=?[X14897:product_prod_nat_nat, X14898:nat, X14899:list_VEBT_VEBT, X14900:vEBT_VEBT]:(((X14895)=(vEBT_Node @ (some_P7363390416028606310at_nat @ X14897) @ X14898 @ X14899 @ X14900)))))<=(((X14896)!=(one_one_nat))<=?[X14901:nat, X14902:list_VEBT_VEBT, X14903:vEBT_VEBT]:(((X14895)=(vEBT_Node @ none_P5556105721700978146at_nat @ X14901 @ X14902 @ X14903))))))<=(?[X186:$o]:(((X14895)=(vEBT_Leaf @ (($true)) @ ((X186)))))=>((X14896)!=(one_one_nat))))))), file('/export/starexec/sandbox/tmp/tmp.E9SHiszTZz/E---3.1_3469010.p', fact_2903_T_092_060_094sub_062m_092_060_094sub_062i_092_060_094sub_062n_092_060_094sub_062N_092_060_094sub_062u_092_060_094sub_062l_092_060_094sub_062l_Oelims)).
487.59/167.88	thf(fact_437_add__2__eq__Suc, axiom, ![X14:nat]:(((plus_plus_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ X14)=(suc @ (suc @ X14)))), file('/export/starexec/sandbox/tmp/tmp.E9SHiszTZz/E---3.1_3469010.p', fact_437_add__2__eq__Suc)).
487.59/167.88	thf(fact_438_Suc__1, axiom, ((suc @ one_one_nat)=(numeral_numeral_nat @ (bit0 @ one))), file('/export/starexec/sandbox/tmp/tmp.E9SHiszTZz/E---3.1_3469010.p', fact_438_Suc__1)).
487.59/167.88	thf(fact_464_add__Suc__shift, axiom, ![X16:nat, X14:nat]:(((plus_plus_nat @ (suc @ X16) @ X14)=(plus_plus_nat @ X16 @ (suc @ X14)))), file('/export/starexec/sandbox/tmp/tmp.E9SHiszTZz/E---3.1_3469010.p', fact_464_add__Suc__shift)).
487.59/167.88	thf(fact_427_add__Suc__right, axiom, ![X16:nat, X14:nat]:(((plus_plus_nat @ X16 @ (suc @ X14))=(suc @ (plus_plus_nat @ X16 @ X14)))), file('/export/starexec/sandbox/tmp/tmp.E9SHiszTZz/E---3.1_3469010.p', fact_427_add__Suc__right)).
487.59/167.88	thf(fact_209_numeral__Bit1, axiom, ![X15035:num]:(((numeral_numeral_nat @ (bit1 @ X15035))=(plus_plus_nat @ (plus_plus_nat @ (numeral_numeral_nat @ X15035) @ (numeral_numeral_nat @ X15035)) @ one_one_nat))), file('/export/starexec/sandbox/tmp/tmp.E9SHiszTZz/E---3.1_3469010.p', fact_209_numeral__Bit1)).
487.59/167.88	thf(fact_531_eval__nat__numeral_I3_J, axiom, ![X10020:num]:(((numeral_numeral_nat @ (bit1 @ X10020))=(suc @ (numeral_numeral_nat @ (bit0 @ X10020))))), file('/export/starexec/sandbox/tmp/tmp.E9SHiszTZz/E---3.1_3469010.p', fact_531_eval__nat__numeral_I3_J)).
487.59/167.88	thf(fact_1546_numeral__code_I2_J, axiom, ![X3340:num]:(((numeral_numeral_nat @ (bit0 @ X3340))=(plus_plus_nat @ (numeral_numeral_nat @ X3340) @ (numeral_numeral_nat @ X3340)))), file('/export/starexec/sandbox/tmp/tmp.E9SHiszTZz/E---3.1_3469010.p', fact_1546_numeral__code_I2_J)).
487.59/167.88	thf(fact_197_one__plus__numeral__commute, axiom, ![X4520:num]:(((plus_plus_nat @ one_one_nat @ (numeral_numeral_nat @ X4520))=(plus_plus_nat @ (numeral_numeral_nat @ X4520) @ one_one_nat))), file('/export/starexec/sandbox/tmp/tmp.E9SHiszTZz/E---3.1_3469010.p', fact_197_one__plus__numeral__commute)).
487.59/167.88	thf(fact_213_add__self__div__2, axiom, ![X16:nat]:(((divide_divide_nat @ (plus_plus_nat @ X16 @ X16) @ (numeral_numeral_nat @ (bit0 @ one)))=(X16))), file('/export/starexec/sandbox/tmp/tmp.E9SHiszTZz/E---3.1_3469010.p', fact_213_add__self__div__2)).
487.59/167.88	thf(conj_0, conjecture, ((vEBT_T_d_e_l_e_t_e @ (vEBT_Node @ (some_P7363390416028606310at_nat @ (product_Pair_nat_nat @ mi @ ma)) @ deg @ treeList @ summary) @ xa)=(plus_plus_nat @ (plus_plus_nat @ (plus_plus_nat @ (plus_plus_nat @ (plus_plus_nat @ (plus_plus_nat @ (plus_plus_nat @ (numeral_numeral_nat @ (bit1 @ one)) @ (numeral_numeral_nat @ (bit1 @ one))) @ (numeral_numeral_nat @ (bit1 @ (bit0 @ (bit1 @ one))))) @ (vEBT_T_m_i_n_t @ summary)) @ (vEBT_T_m_i_n_t @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary))))) @ (numeral_numeral_nat @ (bit1 @ (bit1 @ one)))) @ one_one_nat) @ one_one_nat)), file('/export/starexec/sandbox/tmp/tmp.E9SHiszTZz/E---3.1_3469010.p', conj_0)).
487.59/167.88	thf(fact_1258_ab__semigroup__add__class_Oadd__ac_I1_J, axiom, ![X1:nat, X2:nat, X3:nat]:(((plus_plus_nat @ (plus_plus_nat @ X1 @ X2) @ X3)=(plus_plus_nat @ X1 @ (plus_plus_nat @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.E9SHiszTZz/E---3.1_3469010.p', fact_1258_ab__semigroup__add__class_Oadd__ac_I1_J)).
487.59/167.88	thf(fact_5__C4_Ohyps_C_I2_J, axiom, ((size_s6755466524823107622T_VEBT @ treeList)=(power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ m)), file('/export/starexec/sandbox/tmp/tmp.E9SHiszTZz/E---3.1_3469010.p', fact_5__C4_Ohyps_C_I2_J)).
487.59/167.88	thf(fact_1295_add_Oleft__commute, axiom, ![X2:nat, X1:nat, X3:nat]:(((plus_plus_nat @ X2 @ (plus_plus_nat @ X1 @ X3))=(plus_plus_nat @ X1 @ (plus_plus_nat @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.E9SHiszTZz/E---3.1_3469010.p', fact_1295_add_Oleft__commute)).
487.59/167.88	thf(fact_49__C4_Ohyps_C_I4_J, axiom, ((deg)=(plus_plus_nat @ na @ m)), file('/export/starexec/sandbox/tmp/tmp.E9SHiszTZz/E---3.1_3469010.p', fact_49__C4_Ohyps_C_I4_J)).
487.59/167.88	thf(fact_37__C4_Ohyps_C_I3_J, axiom, ((m)=(na)), file('/export/starexec/sandbox/tmp/tmp.E9SHiszTZz/E---3.1_3469010.p', fact_37__C4_Ohyps_C_I3_J)).
487.59/167.88	thf(fact_1290_add_Ocommute, axiom, ((plus_plus_nat)=(^[X67:nat, X5200:nat]:(plus_plus_nat @ X5200 @ X67))), file('/export/starexec/sandbox/tmp/tmp.E9SHiszTZz/E---3.1_3469010.p', fact_1290_add_Ocommute)).
487.59/167.88	thf(fact_512_Suc__eq__plus1__left, axiom, ((suc)=(plus_plus_nat @ one_one_nat)), file('/export/starexec/sandbox/tmp/tmp.E9SHiszTZz/E---3.1_3469010.p', fact_512_Suc__eq__plus1__left)).
487.59/167.88	thf(fact_1571__C3_C, axiom, ((vEBT_T_d_e_l_e_t_e @ (vEBT_Node @ (some_P7363390416028606310at_nat @ (product_Pair_nat_nat @ mi @ ma)) @ deg @ treeList @ summary) @ xa)=(plus_plus_nat @ (plus_plus_nat @ (plus_plus_nat @ (plus_plus_nat @ (plus_plus_nat @ (plus_plus_nat @ (plus_plus_nat @ (numeral_numeral_nat @ (bit1 @ one)) @ (numeral_numeral_nat @ (bit1 @ one))) @ (numeral_numeral_nat @ (bit1 @ (bit0 @ (bit1 @ one))))) @ (vEBT_T_m_i_n_t @ summary)) @ (vEBT_T_m_i_n_t @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary))))) @ (numeral_numeral_nat @ (bit1 @ (bit1 @ one)))) @ one_one_nat) @ (if_nat @ ((ord_less_nat @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))) @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary)))))) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one)))) @ (size_s6755466524823107622T_VEBT @ treeList))) @ (plus_plus_nat @ (plus_plus_nat @ (numeral_numeral_nat @ (bit0 @ (bit0 @ one))) @ (vEBT_T_d_e_l_e_t_e @ (nth_VEBT_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))) @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary)))))) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))) @ (vEBT_VEBT_low @ (plus_plus_nat @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))) @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary)))))) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one)))))) @ (plus_plus_nat @ (plus_plus_nat @ one_one_nat @ (vEBT_T_m_i_n_N_u_l_l @ (vEBT_vebt_delete @ (nth_VEBT_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))) @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary)))))) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))) @ (vEBT_VEBT_low @ (plus_plus_nat @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))) @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary)))))) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))))) @ (if_nat @ ((vEBT_VEBT_minNull @ (vEBT_vebt_delete @ (nth_VEBT_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))) @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary)))))) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))) @ (vEBT_VEBT_low @ (plus_plus_nat @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))) @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary)))))) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))))) @ (plus_plus_nat @ (plus_plus_nat @ one_one_nat @ (vEBT_T_d_e_l_e_t_e @ summary @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))) @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary)))))) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one)))))) @ (plus_plus_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (if_nat @ (((plus_plus_nat @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))) @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary))))))=(ma))) @ (plus_plus_nat @ (plus_plus_nat @ one_one_nat @ (vEBT_T_m_a_x_t @ (vEBT_vebt_delete @ summary @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))) @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary)))))) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))))) @ (plus_plus_nat @ one_one_nat @ (if_nat @ (((vEBT_vebt_maxt @ (vEBT_vebt_delete @ summary @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))) @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary)))))) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))))=(none_nat))) @ one_one_nat @ (plus_plus_nat @ (numeral_numeral_nat @ (bit0 @ (bit0 @ (bit0 @ one)))) @ (vEBT_T_m_a_x_t @ (nth_VEBT_VEBT @ (list_u1324408373059187874T_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))) @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary)))))) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one)))) @ (vEBT_vebt_delete @ (nth_VEBT_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))) @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary)))))) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))) @ (vEBT_VEBT_low @ (plus_plus_nat @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))) @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary)))))) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one)))))) @ (the_nat @ (vEBT_vebt_maxt @ (vEBT_vebt_delete @ summary @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))) @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary)))))) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))))))))))) @ one_one_nat))) @ (plus_plus_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (if_nat @ (((plus_plus_nat @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))) @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary))))))=(ma))) @ (plus_plus_nat @ (numeral_numeral_nat @ (bit0 @ (bit1 @ one))) @ (vEBT_T_m_a_x_t @ (nth_VEBT_VEBT @ (list_u1324408373059187874T_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))) @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary)))))) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one)))) @ (vEBT_vebt_delete @ (nth_VEBT_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))) @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary)))))) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))) @ (vEBT_VEBT_low @ (plus_plus_nat @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))) @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary)))))) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one)))))) @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))) @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary)))))) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))))) @ one_one_nat))))) @ one_one_nat))), file('/export/starexec/sandbox/tmp/tmp.E9SHiszTZz/E---3.1_3469010.p', fact_1571__C3_C)).
487.59/167.88	thf(fact_211_nat__1__add__1, axiom, ((plus_plus_nat @ one_one_nat @ one_one_nat)=(numeral_numeral_nat @ (bit0 @ one))), file('/export/starexec/sandbox/tmp/tmp.E9SHiszTZz/E---3.1_3469010.p', fact_211_nat__1__add__1)).
487.59/167.88	thf(fact_0_True, axiom, ((xa)=(mi)), file('/export/starexec/sandbox/tmp/tmp.E9SHiszTZz/E---3.1_3469010.p', fact_0_True)).
487.59/167.88	thf(fact_465_add__Suc, axiom, ![X16:nat, X14:nat]:(((plus_plus_nat @ (suc @ X16) @ X14)=(suc @ (plus_plus_nat @ X16 @ X14)))), file('/export/starexec/sandbox/tmp/tmp.E9SHiszTZz/E---3.1_3469010.p', fact_465_add__Suc)).
487.59/167.88	thf(help_If_2_1_If_001t__Nat__Onat_T, axiom, ![X6278:nat, X6279:nat]:(((if_nat @ (~($true)) @ X6278 @ X6279)=(X6279))), file('/export/starexec/sandbox/tmp/tmp.E9SHiszTZz/E---3.1_3469010.p', help_If_2_1_If_001t__Nat__Onat_T)).
487.59/167.88	thf(fact_514_Suc__eq__plus1, axiom, ((suc)=(^[X44:nat]:(plus_plus_nat @ X44 @ one_one_nat))), file('/export/starexec/sandbox/tmp/tmp.E9SHiszTZz/E---3.1_3469010.p', fact_514_Suc__eq__plus1)).
487.59/167.88	thf(fact_4_False, axiom, ~((ord_less_nat @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))) @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary)))))) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one)))) @ (size_s6755466524823107622T_VEBT @ treeList))), file('/export/starexec/sandbox/tmp/tmp.E9SHiszTZz/E---3.1_3469010.p', fact_4_False)).
487.59/167.88	thf(c_0_25, plain, ![X14895:vEBT_VEBT, X14896:nat]:((((vEBT_T_m_i_n_N_u_l_l @ X14895)=(X14896))=>((((X14895)=(vEBT_Leaf @ (~($true)) @ (~($true))))=>((X14896)!=(one_one_nat)))=>((?[X186:$o]:(((X14895)=(vEBT_Leaf @ (($true)) @ ((X186)))))=>((X14896)!=(one_one_nat)))=>((?[X171:$o]:(((X14895)=(vEBT_Leaf @ ((X171)) @ (($true)))))=>((X14896)!=(one_one_nat)))=>((?[X14901:nat, X14902:list_VEBT_VEBT, X14903:vEBT_VEBT]:(((X14895)=(vEBT_Node @ none_P5556105721700978146at_nat @ X14901 @ X14902 @ X14903)))=>((X14896)!=(one_one_nat)))=>~((?[X14897:product_prod_nat_nat, X14898:nat, X14899:list_VEBT_VEBT, X14900:vEBT_VEBT]:(((X14895)=(vEBT_Node @ (some_P7363390416028606310at_nat @ X14897) @ X14898 @ X14899 @ X14900)))=>((X14896)!=(one_one_nat)))))))))), inference(fof_simplification,[status(thm)],[fact_2903_T_092_060_094sub_062m_092_060_094sub_062i_092_060_094sub_062n_092_060_094sub_062N_092_060_094sub_062u_092_060_094sub_062l_092_060_094sub_062l_Oelims])).
487.59/167.88	thf(c_0_26, plain, ![X26491:nat]:(((plus_plus_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ X26491)=(suc @ (suc @ X26491)))), inference(variable_rename,[status(thm)],[fact_437_add__2__eq__Suc])).
487.59/167.88	thf(c_0_27, plain, ![X32385:vEBT_VEBT, X32386:nat]:(((((((((X32385)=(vEBT_Node @ (some_P7363390416028606310at_nat @ (esk302_2 @ X32385 @ X32386)) @ (esk303_2 @ X32385 @ X32386) @ (esk304_2 @ X32385 @ X32386) @ (esk305_2 @ X32385 @ X32386)))|((X32385)=(vEBT_Node @ none_P5556105721700978146at_nat @ (esk299_2 @ X32385 @ X32386) @ (esk300_2 @ X32385 @ X32386) @ (esk301_2 @ X32385 @ X32386)))|((X32385)=(vEBT_Leaf @ ((epred32_2 @ X32385 @ X32386)) @ (($true))))|((X32385)=(vEBT_Leaf @ (($true)) @ ((epred31_2 @ X32385 @ X32386))))|((X32385)=(vEBT_Leaf @ (~($true)) @ (~($true))))|((vEBT_T_m_i_n_N_u_l_l @ X32385)!=(X32386)))&(((X32386)=(one_one_nat))|((X32385)=(vEBT_Node @ none_P5556105721700978146at_nat @ (esk299_2 @ X32385 @ X32386) @ (esk300_2 @ X32385 @ X32386) @ (esk301_2 @ X32385 @ X32386)))|((X32385)=(vEBT_Leaf @ ((epred32_2 @ X32385 @ X32386)) @ (($true))))|((X32385)=(vEBT_Leaf @ (($true)) @ ((epred31_2 @ X32385 @ X32386))))|((X32385)=(vEBT_Leaf @ (~($true)) @ (~($true))))|((vEBT_T_m_i_n_N_u_l_l @ X32385)!=(X32386))))&((((X32385)=(vEBT_Node @ (some_P7363390416028606310at_nat @ (esk302_2 @ X32385 @ X32386)) @ (esk303_2 @ X32385 @ X32386) @ (esk304_2 @ X32385 @ X32386) @ (esk305_2 @ X32385 @ X32386)))|((X32386)=(one_one_nat))|((X32385)=(vEBT_Leaf @ ((epred32_2 @ X32385 @ X32386)) @ (($true))))|((X32385)=(vEBT_Leaf @ (($true)) @ ((epred31_2 @ X32385 @ X32386))))|((X32385)=(vEBT_Leaf @ (~($true)) @ (~($true))))|((vEBT_T_m_i_n_N_u_l_l @ X32385)!=(X32386)))&(((X32386)=(one_one_nat))|((X32386)=(one_one_nat))|((X32385)=(vEBT_Leaf @ ((epred32_2 @ X32385 @ X32386)) @ (($true))))|((X32385)=(vEBT_Leaf @ (($true)) @ ((epred31_2 @ X32385 @ X32386))))|((X32385)=(vEBT_Leaf @ (~($true)) @ (~($true))))|((vEBT_T_m_i_n_N_u_l_l @ X32385)!=(X32386)))))&(((((X32385)=(vEBT_Node @ (some_P7363390416028606310at_nat @ (esk302_2 @ X32385 @ X32386)) @ (esk303_2 @ X32385 @ X32386) @ (esk304_2 @ X32385 @ X32386) @ (esk305_2 @ X32385 @ X32386)))|((X32385)=(vEBT_Node @ none_P5556105721700978146at_nat @ (esk299_2 @ X32385 @ X32386) @ (esk300_2 @ X32385 @ X32386) @ (esk301_2 @ X32385 @ X32386)))|((X32386)=(one_one_nat))|((X32385)=(vEBT_Leaf @ (($true)) @ ((epred31_2 @ X32385 @ X32386))))|((X32385)=(vEBT_Leaf @ (~($true)) @ (~($true))))|((vEBT_T_m_i_n_N_u_l_l @ X32385)!=(X32386)))&(((X32386)=(one_one_nat))|((X32385)=(vEBT_Node @ none_P5556105721700978146at_nat @ (esk299_2 @ X32385 @ X32386) @ (esk300_2 @ X32385 @ X32386) @ (esk301_2 @ X32385 @ X32386)))|((X32386)=(one_one_nat))|((X32385)=(vEBT_Leaf @ (($true)) @ ((epred31_2 @ X32385 @ X32386))))|((X32385)=(vEBT_Leaf @ (~($true)) @ (~($true))))|((vEBT_T_m_i_n_N_u_l_l @ X32385)!=(X32386))))&((((X32385)=(vEBT_Node @ (some_P7363390416028606310at_nat @ (esk302_2 @ X32385 @ X32386)) @ (esk303_2 @ X32385 @ X32386) @ (esk304_2 @ X32385 @ X32386) @ (esk305_2 @ X32385 @ X32386)))|((X32386)=(one_one_nat))|((X32386)=(one_one_nat))|((X32385)=(vEBT_Leaf @ (($true)) @ ((epred31_2 @ X32385 @ X32386))))|((X32385)=(vEBT_Leaf @ (~($true)) @ (~($true))))|((vEBT_T_m_i_n_N_u_l_l @ X32385)!=(X32386)))&(((X32386)=(one_one_nat))|((X32386)=(one_one_nat))|((X32386)=(one_one_nat))|((X32385)=(vEBT_Leaf @ (($true)) @ ((epred31_2 @ X32385 @ X32386))))|((X32385)=(vEBT_Leaf @ (~($true)) @ (~($true))))|((vEBT_T_m_i_n_N_u_l_l @ X32385)!=(X32386))))))&((((((X32385)=(vEBT_Node @ (some_P7363390416028606310at_nat @ (esk302_2 @ X32385 @ X32386)) @ (esk303_2 @ X32385 @ X32386) @ (esk304_2 @ X32385 @ X32386) @ (esk305_2 @ X32385 @ X32386)))|((X32385)=(vEBT_Node @ none_P5556105721700978146at_nat @ (esk299_2 @ X32385 @ X32386) @ (esk300_2 @ X32385 @ X32386) @ (esk301_2 @ X32385 @ X32386)))|((X32385)=(vEBT_Leaf @ ((epred32_2 @ X32385 @ X32386)) @ (($true))))|((X32386)=(one_one_nat))|((X32385)=(vEBT_Leaf @ (~($true)) @ (~($true))))|((vEBT_T_m_i_n_N_u_l_l @ X32385)!=(X32386)))&(((X32386)=(one_one_nat))|((X32385)=(vEBT_Node @ none_P5556105721700978146at_nat @ (esk299_2 @ X32385 @ X32386) @ (esk300_2 @ X32385 @ X32386) @ (esk301_2 @ X32385 @ X32386)))|((X32385)=(vEBT_Leaf @ ((epred32_2 @ X32385 @ X32386)) @ (($true))))|((X32386)=(one_one_nat))|((X32385)=(vEBT_Leaf @ (~($true)) @ (~($true))))|((vEBT_T_m_i_n_N_u_l_l @ X32385)!=(X32386))))&((((X32385)=(vEBT_Node @ (some_P7363390416028606310at_nat @ (esk302_2 @ X32385 @ X32386)) @ (esk303_2 @ X32385 @ X32386) @ (esk304_2 @ X32385 @ X32386) @ (esk305_2 @ X32385 @ X32386)))|((X32386)=(one_one_nat))|((X32385)=(vEBT_Leaf @ ((epred32_2 @ X32385 @ X32386)) @ (($true))))|((X32386)=(one_one_nat))|((X32385)=(vEBT_Leaf @ (~($true)) @ (~($true))))|((vEBT_T_m_i_n_N_u_l_l @ X32385)!=(X32386)))&(((X32386)=(one_one_nat))|((X32386)=(one_one_nat))|((X32385)=(vEBT_Leaf @ ((epred32_2 @ X32385 @ X32386)) @ (($true))))|((X32386)=(one_one_nat))|((X32385)=(vEBT_Leaf @ (~($true)) @ (~($true))))|((vEBT_T_m_i_n_N_u_l_l @ X32385)!=(X32386)))))&(((((X32385)=(vEBT_Node @ (some_P7363390416028606310at_nat @ (esk302_2 @ X32385 @ X32386)) @ (esk303_2 @ X32385 @ X32386) @ (esk304_2 @ X32385 @ X32386) @ (esk305_2 @ X32385 @ X32386)))|((X32385)=(vEBT_Node @ none_P5556105721700978146at_nat @ (esk299_2 @ X32385 @ X32386) @ (esk300_2 @ X32385 @ X32386) @ (esk301_2 @ X32385 @ X32386)))|((X32386)=(one_one_nat))|((X32386)=(one_one_nat))|((X32385)=(vEBT_Leaf @ (~($true)) @ (~($true))))|((vEBT_T_m_i_n_N_u_l_l @ X32385)!=(X32386)))&(((X32386)=(one_one_nat))|((X32385)=(vEBT_Node @ none_P5556105721700978146at_nat @ (esk299_2 @ X32385 @ X32386) @ (esk300_2 @ X32385 @ X32386) @ (esk301_2 @ X32385 @ X32386)))|((X32386)=(one_one_nat))|((X32386)=(one_one_nat))|((X32385)=(vEBT_Leaf @ (~($true)) @ (~($true))))|((vEBT_T_m_i_n_N_u_l_l @ X32385)!=(X32386))))&((((X32385)=(vEBT_Node @ (some_P7363390416028606310at_nat @ (esk302_2 @ X32385 @ X32386)) @ (esk303_2 @ X32385 @ X32386) @ (esk304_2 @ X32385 @ X32386) @ (esk305_2 @ X32385 @ X32386)))|((X32386)=(one_one_nat))|((X32386)=(one_one_nat))|((X32386)=(one_one_nat))|((X32385)=(vEBT_Leaf @ (~($true)) @ (~($true))))|((vEBT_T_m_i_n_N_u_l_l @ X32385)!=(X32386)))&(((X32386)=(one_one_nat))|((X32386)=(one_one_nat))|((X32386)=(one_one_nat))|((X32386)=(one_one_nat))|((X32385)=(vEBT_Leaf @ (~($true)) @ (~($true))))|((vEBT_T_m_i_n_N_u_l_l @ X32385)!=(X32386)))))))&(((((((X32385)=(vEBT_Node @ (some_P7363390416028606310at_nat @ (esk302_2 @ X32385 @ X32386)) @ (esk303_2 @ X32385 @ X32386) @ (esk304_2 @ X32385 @ X32386) @ (esk305_2 @ X32385 @ X32386)))|((X32385)=(vEBT_Node @ none_P5556105721700978146at_nat @ (esk299_2 @ X32385 @ X32386) @ (esk300_2 @ X32385 @ X32386) @ (esk301_2 @ X32385 @ X32386)))|((X32385)=(vEBT_Leaf @ ((epred32_2 @ X32385 @ X32386)) @ (($true))))|((X32385)=(vEBT_Leaf @ (($true)) @ ((epred31_2 @ X32385 @ X32386))))|((X32386)=(one_one_nat))|((vEBT_T_m_i_n_N_u_l_l @ X32385)!=(X32386)))&(((X32386)=(one_one_nat))|((X32385)=(vEBT_Node @ none_P5556105721700978146at_nat @ (esk299_2 @ X32385 @ X32386) @ (esk300_2 @ X32385 @ X32386) @ (esk301_2 @ X32385 @ X32386)))|((X32385)=(vEBT_Leaf @ ((epred32_2 @ X32385 @ X32386)) @ (($true))))|((X32385)=(vEBT_Leaf @ (($true)) @ ((epred31_2 @ X32385 @ X32386))))|((X32386)=(one_one_nat))|((vEBT_T_m_i_n_N_u_l_l @ X32385)!=(X32386))))&((((X32385)=(vEBT_Node @ (some_P7363390416028606310at_nat @ (esk302_2 @ X32385 @ X32386)) @ (esk303_2 @ X32385 @ X32386) @ (esk304_2 @ X32385 @ X32386) @ (esk305_2 @ X32385 @ X32386)))|((X32386)=(one_one_nat))|((X32385)=(vEBT_Leaf @ ((epred32_2 @ X32385 @ X32386)) @ (($true))))|((X32385)=(vEBT_Leaf @ (($true)) @ ((epred31_2 @ X32385 @ X32386))))|((X32386)=(one_one_nat))|((vEBT_T_m_i_n_N_u_l_l @ X32385)!=(X32386)))&(((X32386)=(one_one_nat))|((X32386)=(one_one_nat))|((X32385)=(vEBT_Leaf @ ((epred32_2 @ X32385 @ X32386)) @ (($true))))|((X32385)=(vEBT_Leaf @ (($true)) @ ((epred31_2 @ X32385 @ X32386))))|((X32386)=(one_one_nat))|((vEBT_T_m_i_n_N_u_l_l @ X32385)!=(X32386)))))&(((((X32385)=(vEBT_Node @ (some_P7363390416028606310at_nat @ (esk302_2 @ X32385 @ X32386)) @ (esk303_2 @ X32385 @ X32386) @ (esk304_2 @ X32385 @ X32386) @ (esk305_2 @ X32385 @ X32386)))|((X32385)=(vEBT_Node @ none_P5556105721700978146at_nat @ (esk299_2 @ X32385 @ X32386) @ (esk300_2 @ X32385 @ X32386) @ (esk301_2 @ X32385 @ X32386)))|((X32386)=(one_one_nat))|((X32385)=(vEBT_Leaf @ (($true)) @ ((epred31_2 @ X32385 @ X32386))))|((X32386)=(one_one_nat))|((vEBT_T_m_i_n_N_u_l_l @ X32385)!=(X32386)))&(((X32386)=(one_one_nat))|((X32385)=(vEBT_Node @ none_P5556105721700978146at_nat @ (esk299_2 @ X32385 @ X32386) @ (esk300_2 @ X32385 @ X32386) @ (esk301_2 @ X32385 @ X32386)))|((X32386)=(one_one_nat))|((X32385)=(vEBT_Leaf @ (($true)) @ ((epred31_2 @ X32385 @ X32386))))|((X32386)=(one_one_nat))|((vEBT_T_m_i_n_N_u_l_l @ X32385)!=(X32386))))&((((X32385)=(vEBT_Node @ (some_P7363390416028606310at_nat @ (esk302_2 @ X32385 @ X32386)) @ (esk303_2 @ X32385 @ X32386) @ (esk304_2 @ X32385 @ X32386) @ (esk305_2 @ X32385 @ X32386)))|((X32386)=(one_one_nat))|((X32386)=(one_one_nat))|((X32385)=(vEBT_Leaf @ (($true)) @ ((epred31_2 @ X32385 @ X32386))))|((X32386)=(one_one_nat))|((vEBT_T_m_i_n_N_u_l_l @ X32385)!=(X32386)))&(((X32386)=(one_one_nat))|((X32386)=(one_one_nat))|((X32386)=(one_one_nat))|((X32385)=(vEBT_Leaf @ (($true)) @ ((epred31_2 @ X32385 @ X32386))))|((X32386)=(one_one_nat))|((vEBT_T_m_i_n_N_u_l_l @ X32385)!=(X32386))))))&((((((X32385)=(vEBT_Node @ (some_P7363390416028606310at_nat @ (esk302_2 @ X32385 @ X32386)) @ (esk303_2 @ X32385 @ X32386) @ (esk304_2 @ X32385 @ X32386) @ (esk305_2 @ X32385 @ X32386)))|((X32385)=(vEBT_Node @ none_P5556105721700978146at_nat @ (esk299_2 @ X32385 @ X32386) @ (esk300_2 @ X32385 @ X32386) @ (esk301_2 @ X32385 @ X32386)))|((X32385)=(vEBT_Leaf @ ((epred32_2 @ X32385 @ X32386)) @ (($true))))|((X32386)=(one_one_nat))|((X32386)=(one_one_nat))|((vEBT_T_m_i_n_N_u_l_l @ X32385)!=(X32386)))&(((X32386)=(one_one_nat))|((X32385)=(vEBT_Node @ none_P5556105721700978146at_nat @ (esk299_2 @ X32385 @ X32386) @ (esk300_2 @ X32385 @ X32386) @ (esk301_2 @ X32385 @ X32386)))|((X32385)=(vEBT_Leaf @ ((epred32_2 @ X32385 @ X32386)) @ (($true))))|((X32386)=(one_one_nat))|((X32386)=(one_one_nat))|((vEBT_T_m_i_n_N_u_l_l @ X32385)!=(X32386))))&((((X32385)=(vEBT_Node @ (some_P7363390416028606310at_nat @ (esk302_2 @ X32385 @ X32386)) @ (esk303_2 @ X32385 @ X32386) @ (esk304_2 @ X32385 @ X32386) @ (esk305_2 @ X32385 @ X32386)))|((X32386)=(one_one_nat))|((X32385)=(vEBT_Leaf @ ((epred32_2 @ X32385 @ X32386)) @ (($true))))|((X32386)=(one_one_nat))|((X32386)=(one_one_nat))|((vEBT_T_m_i_n_N_u_l_l @ X32385)!=(X32386)))&(((X32386)=(one_one_nat))|((X32386)=(one_one_nat))|((X32385)=(vEBT_Leaf @ ((epred32_2 @ X32385 @ X32386)) @ (($true))))|((X32386)=(one_one_nat))|((X32386)=(one_one_nat))|((vEBT_T_m_i_n_N_u_l_l @ X32385)!=(X32386)))))&(((((X32385)=(vEBT_Node @ (some_P7363390416028606310at_nat @ (esk302_2 @ X32385 @ X32386)) @ (esk303_2 @ X32385 @ X32386) @ (esk304_2 @ X32385 @ X32386) @ (esk305_2 @ X32385 @ X32386)))|((X32385)=(vEBT_Node @ none_P5556105721700978146at_nat @ (esk299_2 @ X32385 @ X32386) @ (esk300_2 @ X32385 @ X32386) @ (esk301_2 @ X32385 @ X32386)))|((X32386)=(one_one_nat))|((X32386)=(one_one_nat))|((X32386)=(one_one_nat))|((vEBT_T_m_i_n_N_u_l_l @ X32385)!=(X32386)))&(((X32386)=(one_one_nat))|((X32385)=(vEBT_Node @ none_P5556105721700978146at_nat @ (esk299_2 @ X32385 @ X32386) @ (esk300_2 @ X32385 @ X32386) @ (esk301_2 @ X32385 @ X32386)))|((X32386)=(one_one_nat))|((X32386)=(one_one_nat))|((X32386)=(one_one_nat))|((vEBT_T_m_i_n_N_u_l_l @ X32385)!=(X32386))))&((((X32385)=(vEBT_Node @ (some_P7363390416028606310at_nat @ (esk302_2 @ X32385 @ X32386)) @ (esk303_2 @ X32385 @ X32386) @ (esk304_2 @ X32385 @ X32386) @ (esk305_2 @ X32385 @ X32386)))|((X32386)=(one_one_nat))|((X32386)=(one_one_nat))|((X32386)=(one_one_nat))|((X32386)=(one_one_nat))|((vEBT_T_m_i_n_N_u_l_l @ X32385)!=(X32386)))&(((X32386)=(one_one_nat))|((X32386)=(one_one_nat))|((X32386)=(one_one_nat))|((X32386)=(one_one_nat))|((X32386)=(one_one_nat))|((vEBT_T_m_i_n_N_u_l_l @ X32385)!=(X32386))))))))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])])])).
487.59/167.88	thf(c_0_28, plain, ![X1:nat]:(((plus_plus_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ X1)=(suc @ (suc @ X1)))), inference(split_conjunct,[status(thm)],[c_0_26])).
487.59/167.88	thf(c_0_29, plain, ((suc @ one_one_nat)=(numeral_numeral_nat @ (bit0 @ one))), inference(split_conjunct,[status(thm)],[fact_438_Suc__1])).
487.59/167.88	thf(c_0_30, plain, ![X26502:nat, X26503:nat]:(((plus_plus_nat @ (suc @ X26502) @ X26503)=(plus_plus_nat @ X26502 @ (suc @ X26503)))), inference(variable_rename,[status(thm)],[fact_464_add__Suc__shift])).
487.59/167.88	thf(c_0_31, plain, ![X26413:nat, X26414:nat]:(((plus_plus_nat @ X26413 @ (suc @ X26414))=(suc @ (plus_plus_nat @ X26413 @ X26414)))), inference(variable_rename,[status(thm)],[fact_427_add__Suc__right])).
487.59/167.88	thf(c_0_32, plain, ![X26843:num]:(((numeral_numeral_nat @ (bit1 @ X26843))=(plus_plus_nat @ (plus_plus_nat @ (numeral_numeral_nat @ X26843) @ (numeral_numeral_nat @ X26843)) @ one_one_nat))), inference(variable_rename,[status(thm)],[fact_209_numeral__Bit1])).
487.59/167.88	thf(c_0_33, plain, ![X26818:num]:(((numeral_numeral_nat @ (bit1 @ X26818))=(suc @ (numeral_numeral_nat @ (bit0 @ X26818))))), inference(variable_rename,[status(thm)],[fact_531_eval__nat__numeral_I3_J])).
487.59/167.88	thf(c_0_34, plain, ![X26425:num]:(((numeral_numeral_nat @ (bit0 @ X26425))=(plus_plus_nat @ (numeral_numeral_nat @ X26425) @ (numeral_numeral_nat @ X26425)))), inference(variable_rename,[status(thm)],[fact_1546_numeral__code_I2_J])).
487.59/167.88	thf(c_0_35, plain, ![X26459:num]:(((plus_plus_nat @ one_one_nat @ (numeral_numeral_nat @ X26459))=(plus_plus_nat @ (numeral_numeral_nat @ X26459) @ one_one_nat))), inference(variable_rename,[status(thm)],[fact_197_one__plus__numeral__commute])).
487.59/167.88	thf(c_0_36, plain, ![X15:vEBT_VEBT, X1:nat]:((((X1)=(one_one_nat))|((X1)=(one_one_nat))|((X1)=(one_one_nat))|((X1)=(one_one_nat))|((X1)=(one_one_nat))|((vEBT_T_m_i_n_N_u_l_l @ X15)!=(X1)))), inference(split_conjunct,[status(thm)],[c_0_27])).
487.59/167.88	thf(c_0_37, plain, ![X1:nat]:(((plus_plus_nat @ (suc @ one_one_nat) @ X1)=(suc @ (suc @ X1)))), inference(rw,[status(thm)],[c_0_28, c_0_29])).
487.59/167.88	thf(c_0_38, plain, ![X1:nat, X2:nat]:(((plus_plus_nat @ (suc @ X1) @ X2)=(plus_plus_nat @ X1 @ (suc @ X2)))), inference(split_conjunct,[status(thm)],[c_0_30])).
487.59/167.88	thf(c_0_39, plain, ![X29417:nat]:(((divide_divide_nat @ (plus_plus_nat @ X29417 @ X29417) @ (numeral_numeral_nat @ (bit0 @ one)))=(X29417))), inference(variable_rename,[status(thm)],[fact_213_add__self__div__2])).
487.59/167.88	thf(c_0_40, negated_conjecture, ~(((vEBT_T_d_e_l_e_t_e @ (vEBT_Node @ (some_P7363390416028606310at_nat @ (product_Pair_nat_nat @ mi @ ma)) @ deg @ treeList @ summary) @ xa)=(plus_plus_nat @ (plus_plus_nat @ (plus_plus_nat @ (plus_plus_nat @ (plus_plus_nat @ (plus_plus_nat @ (plus_plus_nat @ (numeral_numeral_nat @ (bit1 @ one)) @ (numeral_numeral_nat @ (bit1 @ one))) @ (numeral_numeral_nat @ (bit1 @ (bit0 @ (bit1 @ one))))) @ (vEBT_T_m_i_n_t @ summary)) @ (vEBT_T_m_i_n_t @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary))))) @ (numeral_numeral_nat @ (bit1 @ (bit1 @ one)))) @ one_one_nat) @ one_one_nat))), inference(assume_negation,[status(cth)],[conj_0])).
487.59/167.88	thf(c_0_41, plain, ![X26533:nat, X26534:nat, X26535:nat]:(((plus_plus_nat @ (plus_plus_nat @ X26533 @ X26534) @ X26535)=(plus_plus_nat @ X26533 @ (plus_plus_nat @ X26534 @ X26535)))), inference(variable_rename,[status(thm)],[fact_1258_ab__semigroup__add__class_Oadd__ac_I1_J])).
487.59/167.88	thf(c_0_42, plain, ![X1:nat, X2:nat]:(((plus_plus_nat @ X1 @ (suc @ X2))=(suc @ (plus_plus_nat @ X1 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_31])).
487.59/167.88	thf(c_0_43, plain, ![X35:num]:(((numeral_numeral_nat @ (bit1 @ X35))=(plus_plus_nat @ (plus_plus_nat @ (numeral_numeral_nat @ X35) @ (numeral_numeral_nat @ X35)) @ one_one_nat))), inference(split_conjunct,[status(thm)],[c_0_32])).
487.59/167.88	thf(c_0_44, plain, ![X35:num]:(((numeral_numeral_nat @ (bit1 @ X35))=(suc @ (numeral_numeral_nat @ (bit0 @ X35))))), inference(split_conjunct,[status(thm)],[c_0_33])).
487.59/167.88	thf(c_0_45, plain, ![X35:num]:(((numeral_numeral_nat @ (bit0 @ X35))=(plus_plus_nat @ (numeral_numeral_nat @ X35) @ (numeral_numeral_nat @ X35)))), inference(split_conjunct,[status(thm)],[c_0_34])).
487.59/167.88	thf(c_0_46, plain, ![X35:num]:(((plus_plus_nat @ one_one_nat @ (numeral_numeral_nat @ X35))=(plus_plus_nat @ (numeral_numeral_nat @ X35) @ one_one_nat))), inference(split_conjunct,[status(thm)],[c_0_35])).
487.59/167.88	thf(c_0_47, plain, ((size_s6755466524823107622T_VEBT @ treeList)=(power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ m)), inference(split_conjunct,[status(thm)],[fact_5__C4_Ohyps_C_I2_J])).
487.59/167.88	thf(c_0_48, plain, ![X15:vEBT_VEBT, X1:nat]:((((X1)=(one_one_nat))|((vEBT_T_m_i_n_N_u_l_l @ X15)!=(X1)))), inference(cn,[status(thm)],[c_0_36])).
487.59/167.88	thf(c_0_49, plain, ![X26525:nat, X26526:nat, X26527:nat]:(((plus_plus_nat @ X26525 @ (plus_plus_nat @ X26526 @ X26527))=(plus_plus_nat @ X26526 @ (plus_plus_nat @ X26525 @ X26527)))), inference(variable_rename,[status(thm)],[fact_1295_add_Oleft__commute])).
487.59/167.88	thf(c_0_50, plain, ![X1:nat]:(((plus_plus_nat @ one_one_nat @ (suc @ X1))=(suc @ (suc @ X1)))), inference(rw,[status(thm)],[c_0_37, c_0_38])).
487.59/167.88	thf(c_0_51, plain, ![X1:nat]:(((divide_divide_nat @ (plus_plus_nat @ X1 @ X1) @ (numeral_numeral_nat @ (bit0 @ one)))=(X1))), inference(split_conjunct,[status(thm)],[c_0_39])).
487.59/167.88	thf(c_0_52, plain, ((deg)=(plus_plus_nat @ na @ m)), inference(split_conjunct,[status(thm)],[fact_49__C4_Ohyps_C_I4_J])).
487.59/167.88	thf(c_0_53, plain, ((m)=(na)), inference(split_conjunct,[status(thm)],[fact_37__C4_Ohyps_C_I3_J])).
487.59/167.88	thf(c_0_54, plain, ((plus_plus_nat)=(^[Z0:nat, Z1:nat]:(plus_plus_nat @ Z1 @ Z0))), inference(fof_simplification,[status(thm)],[fact_1290_add_Ocommute])).
487.59/167.88	thf(c_0_55, plain, ((suc)=(plus_plus_nat @ one_one_nat)), inference(split_conjunct,[status(thm)],[fact_512_Suc__eq__plus1__left])).
487.59/167.88	thf(c_0_56, negated_conjecture, ((vEBT_T_d_e_l_e_t_e @ (vEBT_Node @ (some_P7363390416028606310at_nat @ (product_Pair_nat_nat @ mi @ ma)) @ deg @ treeList @ summary) @ xa)!=(plus_plus_nat @ (plus_plus_nat @ (plus_plus_nat @ (plus_plus_nat @ (plus_plus_nat @ (plus_plus_nat @ (plus_plus_nat @ (numeral_numeral_nat @ (bit1 @ one)) @ (numeral_numeral_nat @ (bit1 @ one))) @ (numeral_numeral_nat @ (bit1 @ (bit0 @ (bit1 @ one))))) @ (vEBT_T_m_i_n_t @ summary)) @ (vEBT_T_m_i_n_t @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary))))) @ (numeral_numeral_nat @ (bit1 @ (bit1 @ one)))) @ one_one_nat) @ one_one_nat)), inference(fof_simplification,[status(thm)],[c_0_40])).
487.59/167.88	thf(c_0_57, plain, ((vEBT_T_d_e_l_e_t_e @ (vEBT_Node @ (some_P7363390416028606310at_nat @ (product_Pair_nat_nat @ mi @ ma)) @ deg @ treeList @ summary) @ xa)=(plus_plus_nat @ (plus_plus_nat @ (plus_plus_nat @ (plus_plus_nat @ (plus_plus_nat @ (plus_plus_nat @ (plus_plus_nat @ (numeral_numeral_nat @ (bit1 @ one)) @ (numeral_numeral_nat @ (bit1 @ one))) @ (numeral_numeral_nat @ (bit1 @ (bit0 @ (bit1 @ one))))) @ (vEBT_T_m_i_n_t @ summary)) @ (vEBT_T_m_i_n_t @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary))))) @ (numeral_numeral_nat @ (bit1 @ (bit1 @ one)))) @ one_one_nat) @ (if_nat @ ((ord_less_nat @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))) @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary)))))) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one)))) @ (size_s6755466524823107622T_VEBT @ treeList))) @ (plus_plus_nat @ (plus_plus_nat @ (numeral_numeral_nat @ (bit0 @ (bit0 @ one))) @ (vEBT_T_d_e_l_e_t_e @ (nth_VEBT_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))) @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary)))))) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))) @ (vEBT_VEBT_low @ (plus_plus_nat @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))) @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary)))))) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one)))))) @ (plus_plus_nat @ (plus_plus_nat @ one_one_nat @ (vEBT_T_m_i_n_N_u_l_l @ (vEBT_vebt_delete @ (nth_VEBT_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))) @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary)))))) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))) @ (vEBT_VEBT_low @ (plus_plus_nat @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))) @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary)))))) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))))) @ (if_nat @ ((vEBT_VEBT_minNull @ (vEBT_vebt_delete @ (nth_VEBT_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))) @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary)))))) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))) @ (vEBT_VEBT_low @ (plus_plus_nat @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))) @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary)))))) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))))) @ (plus_plus_nat @ (plus_plus_nat @ one_one_nat @ (vEBT_T_d_e_l_e_t_e @ summary @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))) @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary)))))) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one)))))) @ (plus_plus_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (if_nat @ (((plus_plus_nat @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))) @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary))))))=(ma))) @ (plus_plus_nat @ (plus_plus_nat @ one_one_nat @ (vEBT_T_m_a_x_t @ (vEBT_vebt_delete @ summary @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))) @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary)))))) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))))) @ (plus_plus_nat @ one_one_nat @ (if_nat @ (((vEBT_vebt_maxt @ (vEBT_vebt_delete @ summary @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))) @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary)))))) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))))=(none_nat))) @ one_one_nat @ (plus_plus_nat @ (numeral_numeral_nat @ (bit0 @ (bit0 @ (bit0 @ one)))) @ (vEBT_T_m_a_x_t @ (nth_VEBT_VEBT @ (list_u1324408373059187874T_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))) @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary)))))) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one)))) @ (vEBT_vebt_delete @ (nth_VEBT_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))) @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary)))))) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))) @ (vEBT_VEBT_low @ (plus_plus_nat @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))) @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary)))))) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one)))))) @ (the_nat @ (vEBT_vebt_maxt @ (vEBT_vebt_delete @ summary @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))) @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary)))))) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))))))))))) @ one_one_nat))) @ (plus_plus_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (if_nat @ (((plus_plus_nat @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))) @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary))))))=(ma))) @ (plus_plus_nat @ (numeral_numeral_nat @ (bit0 @ (bit1 @ one))) @ (vEBT_T_m_a_x_t @ (nth_VEBT_VEBT @ (list_u1324408373059187874T_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))) @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary)))))) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one)))) @ (vEBT_vebt_delete @ (nth_VEBT_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))) @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary)))))) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))) @ (vEBT_VEBT_low @ (plus_plus_nat @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))) @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary)))))) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one)))))) @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))) @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary)))))) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))))) @ one_one_nat))))) @ one_one_nat))), inference(split_conjunct,[status(thm)],[fact_1571__C3_C])).
487.59/167.88	thf(c_0_58, plain, ![X1:nat, X2:nat, X3:nat]:(((plus_plus_nat @ (plus_plus_nat @ X1 @ X2) @ X3)=(plus_plus_nat @ X1 @ (plus_plus_nat @ X2 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_41])).
487.59/167.88	thf(c_0_59, plain, ![X1:nat, X2:nat]:(((plus_plus_nat @ (suc @ X1) @ X2)=(suc @ (plus_plus_nat @ X1 @ X2)))), inference(rw,[status(thm)],[c_0_38, c_0_42])).
487.59/167.88	thf(c_0_60, plain, ((plus_plus_nat @ one_one_nat @ one_one_nat)=(numeral_numeral_nat @ (bit0 @ one))), inference(split_conjunct,[status(thm)],[fact_211_nat__1__add__1])).
487.59/167.88	thf(c_0_61, plain, ![X35:num]:(((plus_plus_nat @ one_one_nat @ (numeral_numeral_nat @ (bit0 @ X35)))=(suc @ (numeral_numeral_nat @ (bit0 @ X35))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_43, c_0_44]), c_0_45]), c_0_46])).
487.59/167.88	thf(c_0_62, plain, ((size_s6755466524823107622T_VEBT @ treeList)=(power_power_nat @ (suc @ one_one_nat) @ m)), inference(rw,[status(thm)],[c_0_47, c_0_29])).
487.59/167.88	thf(c_0_63, plain, ![X15:vEBT_VEBT]:(((vEBT_T_m_i_n_N_u_l_l @ X15)=(one_one_nat))), inference(er,[status(thm)],[c_0_48])).
487.59/167.88	thf(c_0_64, plain, ![X1:nat, X2:nat, X3:nat]:(((plus_plus_nat @ X1 @ (plus_plus_nat @ X2 @ X3))=(plus_plus_nat @ X2 @ (plus_plus_nat @ X1 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_49])).
487.59/167.88	thf(c_0_65, plain, ![X1:nat]:(((suc @ (plus_plus_nat @ one_one_nat @ X1))=(suc @ (suc @ X1)))), inference(rw,[status(thm)],[c_0_50, c_0_42])).
487.59/167.88	thf(c_0_66, plain, ((xa)=(mi)), inference(split_conjunct,[status(thm)],[fact_0_True])).
487.59/167.88	thf(c_0_67, plain, ![X1:nat]:(((divide_divide_nat @ (plus_plus_nat @ X1 @ X1) @ (suc @ one_one_nat))=(X1))), inference(rw,[status(thm)],[c_0_51, c_0_29])).
487.59/167.88	thf(c_0_68, plain, ((plus_plus_nat @ m @ m)=(deg)), inference(rw,[status(thm)],[c_0_52, c_0_53])).
487.59/167.88	thf(c_0_69, plain, ((plus_plus_nat)=(^[Z0:nat, Z1:nat]:(plus_plus_nat @ Z1 @ Z0))), inference(split_conjunct,[status(thm)],[c_0_54])).
487.59/167.88	thf(c_0_70, plain, ((plus_plus_nat @ (suc @ one_one_nat) @ (suc @ one_one_nat))=(numeral_numeral_nat @ (bit0 @ (bit0 @ one)))), inference(spm,[status(thm)],[c_0_45, c_0_29])).
487.59/167.88	thf(c_0_71, plain, ![X1:nat]:(((plus_plus_nat @ one_one_nat @ X1)=(suc @ X1))), inference(arg_cong,[status(thm)],[c_0_55])).
487.59/167.88	thf(c_0_72, plain, ![X26586:nat, X26587:nat]:(((plus_plus_nat @ (suc @ X26586) @ X26587)=(suc @ (plus_plus_nat @ X26586 @ X26587)))), inference(variable_rename,[status(thm)],[fact_465_add__Suc])).
487.59/167.88	thf(c_0_73, plain, ![X32177:nat, X32178:nat]:(((if_nat @ (~($true)) @ X32177 @ X32178)=(X32178))), inference(variable_rename,[status(thm)],[help_If_2_1_If_001t__Nat__Onat_T])).
487.59/167.88	thf(c_0_74, plain, ((suc)=(^[Z0:nat]:(plus_plus_nat @ Z0 @ one_one_nat))), inference(fof_simplification,[status(thm)],[fact_514_Suc__eq__plus1])).
487.59/167.88	thf(c_0_75, plain, ~(ord_less_nat @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))) @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary)))))) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one)))) @ (size_s6755466524823107622T_VEBT @ treeList)), inference(fof_simplification,[status(thm)],[fact_4_False])).
487.59/167.88	thf(c_0_76, negated_conjecture, ((vEBT_T_d_e_l_e_t_e @ (vEBT_Node @ (some_P7363390416028606310at_nat @ (product_Pair_nat_nat @ mi @ ma)) @ deg @ treeList @ summary) @ xa)!=(plus_plus_nat @ (plus_plus_nat @ (plus_plus_nat @ (plus_plus_nat @ (plus_plus_nat @ (plus_plus_nat @ (plus_plus_nat @ (numeral_numeral_nat @ (bit1 @ one)) @ (numeral_numeral_nat @ (bit1 @ one))) @ (numeral_numeral_nat @ (bit1 @ (bit0 @ (bit1 @ one))))) @ (vEBT_T_m_i_n_t @ summary)) @ (vEBT_T_m_i_n_t @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary))))) @ (numeral_numeral_nat @ (bit1 @ (bit1 @ one)))) @ one_one_nat) @ one_one_nat)), inference(split_conjunct,[status(thm)],[c_0_56])).
487.59/167.88	thf(c_0_77, plain, ((suc @ (suc @ (suc @ (suc @ (suc @ (suc @ (suc @ (suc @ (suc @ (plus_plus_nat @ (numeral_numeral_nat @ (bit0 @ (bit1 @ one))) @ (plus_plus_nat @ (numeral_numeral_nat @ (bit0 @ (bit0 @ (bit1 @ one)))) @ (plus_plus_nat @ (vEBT_T_m_i_n_t @ summary) @ (plus_plus_nat @ (vEBT_T_m_i_n_t @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary)))) @ (if_nat @ ((ord_less_nat @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (suc @ one_one_nat) @ (divide_divide_nat @ deg @ (suc @ one_one_nat)))) @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary)))))) @ (divide_divide_nat @ deg @ (suc @ one_one_nat))) @ (power_power_nat @ (suc @ one_one_nat) @ m))) @ (suc @ (suc @ (plus_plus_nat @ (numeral_numeral_nat @ (bit0 @ (bit0 @ one))) @ (plus_plus_nat @ (vEBT_T_d_e_l_e_t_e @ (nth_VEBT_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (suc @ one_one_nat) @ (divide_divide_nat @ deg @ (suc @ one_one_nat)))) @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary)))))) @ (divide_divide_nat @ deg @ (suc @ one_one_nat)))) @ (vEBT_VEBT_low @ (plus_plus_nat @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (suc @ one_one_nat) @ (divide_divide_nat @ deg @ (suc @ one_one_nat)))) @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary)))))) @ (divide_divide_nat @ deg @ (suc @ one_one_nat)))) @ (if_nat @ ((vEBT_VEBT_minNull @ (vEBT_vebt_delete @ (nth_VEBT_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (suc @ one_one_nat) @ (divide_divide_nat @ deg @ (suc @ one_one_nat)))) @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary)))))) @ (divide_divide_nat @ deg @ (suc @ one_one_nat)))) @ (vEBT_VEBT_low @ (plus_plus_nat @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (suc @ one_one_nat) @ (divide_divide_nat @ deg @ (suc @ one_one_nat)))) @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary)))))) @ (divide_divide_nat @ deg @ (suc @ one_one_nat)))))) @ (suc @ (suc @ (suc @ (plus_plus_nat @ (vEBT_T_d_e_l_e_t_e @ summary @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (suc @ one_one_nat) @ (divide_divide_nat @ deg @ (suc @ one_one_nat)))) @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary)))))) @ (divide_divide_nat @ deg @ (suc @ one_one_nat)))) @ (if_nat @ (((plus_plus_nat @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (suc @ one_one_nat) @ (divide_divide_nat @ deg @ (suc @ one_one_nat)))) @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary))))))=(ma))) @ (plus_plus_nat @ one_one_nat @ (plus_plus_nat @ one_one_nat @ (plus_plus_nat @ (vEBT_T_m_a_x_t @ (vEBT_vebt_delete @ summary @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (suc @ one_one_nat) @ (divide_divide_nat @ deg @ (suc @ one_one_nat)))) @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary)))))) @ (divide_divide_nat @ deg @ (suc @ one_one_nat))))) @ (if_nat @ (((vEBT_vebt_maxt @ (vEBT_vebt_delete @ summary @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (suc @ one_one_nat) @ (divide_divide_nat @ deg @ (suc @ one_one_nat)))) @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary)))))) @ (divide_divide_nat @ deg @ (suc @ one_one_nat)))))=(none_nat))) @ one_one_nat @ (plus_plus_nat @ (numeral_numeral_nat @ (bit0 @ (bit0 @ (bit0 @ one)))) @ (vEBT_T_m_a_x_t @ (nth_VEBT_VEBT @ (list_u1324408373059187874T_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (suc @ one_one_nat) @ (divide_divide_nat @ deg @ (suc @ one_one_nat)))) @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary)))))) @ (divide_divide_nat @ deg @ (suc @ one_one_nat))) @ (vEBT_vebt_delete @ (nth_VEBT_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (suc @ one_one_nat) @ (divide_divide_nat @ deg @ (suc @ one_one_nat)))) @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary)))))) @ (divide_divide_nat @ deg @ (suc @ one_one_nat)))) @ (vEBT_VEBT_low @ (plus_plus_nat @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (suc @ one_one_nat) @ (divide_divide_nat @ deg @ (suc @ one_one_nat)))) @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary)))))) @ (divide_divide_nat @ deg @ (suc @ one_one_nat))))) @ (the_nat @ (vEBT_vebt_maxt @ (vEBT_vebt_delete @ summary @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (suc @ one_one_nat) @ (divide_divide_nat @ deg @ (suc @ one_one_nat)))) @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary)))))) @ (divide_divide_nat @ deg @ (suc @ one_one_nat))))))))))))) @ one_one_nat))))) @ (suc @ (suc @ (if_nat @ (((plus_plus_nat @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (suc @ one_one_nat) @ (divide_divide_nat @ deg @ (suc @ one_one_nat)))) @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary))))))=(ma))) @ (plus_plus_nat @ (numeral_numeral_nat @ (bit0 @ (bit1 @ one))) @ (vEBT_T_m_a_x_t @ (nth_VEBT_VEBT @ (list_u1324408373059187874T_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (suc @ one_one_nat) @ (divide_divide_nat @ deg @ (suc @ one_one_nat)))) @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary)))))) @ (divide_divide_nat @ deg @ (suc @ one_one_nat))) @ (vEBT_vebt_delete @ (nth_VEBT_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (suc @ one_one_nat) @ (divide_divide_nat @ deg @ (suc @ one_one_nat)))) @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary)))))) @ (divide_divide_nat @ deg @ (suc @ one_one_nat)))) @ (vEBT_VEBT_low @ (plus_plus_nat @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (suc @ one_one_nat) @ (divide_divide_nat @ deg @ (suc @ one_one_nat)))) @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary)))))) @ (divide_divide_nat @ deg @ (suc @ one_one_nat))))) @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (suc @ one_one_nat) @ (divide_divide_nat @ deg @ (suc @ one_one_nat)))) @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary)))))) @ (divide_divide_nat @ deg @ (suc @ one_one_nat)))))) @ one_one_nat)))))))) @ one_one_nat))))))))))))))=(vEBT_T_d_e_l_e_t_e @ (vEBT_Node @ (some_P7363390416028606310at_nat @ (product_Pair_nat_nat @ xa @ ma)) @ deg @ treeList @ summary) @ xa)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_57, c_0_58]), c_0_44]), c_0_29]), c_0_44]), c_0_29]), c_0_42]), c_0_42]), c_0_59]), c_0_59]), c_0_60]), c_0_29]), c_0_44]), c_0_42]), c_0_59]), c_0_59]), c_0_59]), c_0_59]), c_0_59]), c_0_61]), c_0_59]), c_0_59]), c_0_59]), c_0_59]), c_0_59]), c_0_59]), c_0_59]), c_0_59]), c_0_59]), c_0_59]), c_0_59]), c_0_59]), c_0_59]), c_0_59]), c_0_58]), c_0_44]), c_0_59]), c_0_46]), c_0_61]), c_0_42]), c_0_42]), c_0_59]), c_0_59]), c_0_59]), c_0_59]), c_0_59]), c_0_59]), c_0_59]), c_0_58]), c_0_58]), c_0_29]), c_0_29]), c_0_29]), c_0_62]), c_0_29]), c_0_29]), c_0_29]), c_0_29]), c_0_29]), c_0_29]), c_0_29]), c_0_29]), c_0_29]), c_0_29]), c_0_29]), c_0_29]), c_0_63]), c_0_60]), c_0_29]), c_0_29]), c_0_29]), c_0_29]), c_0_29]), c_0_29]), c_0_29]), c_0_29]), c_0_29]), c_0_29]), c_0_29]), c_0_29]), c_0_29]), c_0_29]), c_0_29]), c_0_29]), c_0_29]), c_0_29]), c_0_29]), c_0_29]), c_0_29]), c_0_29]), c_0_29]), c_0_29]), c_0_29]), c_0_29]), c_0_29]), c_0_29]), c_0_29]), c_0_29]), c_0_29]), c_0_58]), c_0_64]), c_0_59]), c_0_65]), c_0_42]), c_0_42]), c_0_58]), c_0_65]), c_0_29]), c_0_29]), c_0_29]), c_0_29]), c_0_29]), c_0_29]), c_0_29]), c_0_29]), c_0_29]), c_0_29]), c_0_29]), c_0_29]), c_0_29]), c_0_29]), c_0_29]), c_0_59]), c_0_65]), c_0_59]), c_0_65]), c_0_42]), c_0_42]), c_0_58]), c_0_59]), c_0_59]), c_0_59]), c_0_59]), c_0_59]), c_0_59]), c_0_59]), c_0_59]), c_0_59]), c_0_58]), c_0_58]), c_0_58]), c_0_64]), c_0_64]), c_0_64]), c_0_66])).
487.59/167.88	thf(c_0_78, plain, ((divide_divide_nat @ deg @ (suc @ one_one_nat))=(m)), inference(spm,[status(thm)],[c_0_67, c_0_68])).
487.59/167.88	thf(c_0_79, plain, ![X2:nat, X1:nat]:(((plus_plus_nat @ X1 @ X2)=(plus_plus_nat @ X2 @ X1))), inference(arg_cong,[status(thm)],[c_0_69])).
487.59/167.88	thf(c_0_80, plain, ((numeral_numeral_nat @ (bit0 @ (bit0 @ one)))=(suc @ (suc @ (suc @ one_one_nat)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_70, c_0_42]), c_0_59]), c_0_71])).
487.59/167.88	thf(c_0_81, plain, ![X1:nat, X2:nat]:(((plus_plus_nat @ (suc @ X1) @ X2)=(suc @ (plus_plus_nat @ X1 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_72])).
487.59/167.88	thf(c_0_82, plain, ![X1:nat, X2:nat]:(((if_nat @ (((($true))!=(($true)))) @ X1 @ X2)=(X2))), inference(split_conjunct,[status(thm)],[c_0_73])).
487.59/167.88	thf(c_0_83, plain, ((suc)=(^[Z0:nat]:(plus_plus_nat @ Z0 @ one_one_nat))), inference(split_conjunct,[status(thm)],[c_0_74])).
487.59/167.88	thf(c_0_84, plain, ~((ord_less_nat @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))) @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary)))))) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one)))) @ (size_s6755466524823107622T_VEBT @ treeList))), inference(split_conjunct,[status(thm)],[c_0_75])).
487.59/167.88	thf(c_0_85, negated_conjecture, ((plus_plus_nat @ (plus_plus_nat @ (plus_plus_nat @ (plus_plus_nat @ (plus_plus_nat @ (plus_plus_nat @ (plus_plus_nat @ (numeral_numeral_nat @ (bit1 @ one)) @ (numeral_numeral_nat @ (bit1 @ one))) @ (numeral_numeral_nat @ (bit1 @ (bit0 @ (bit1 @ one))))) @ (vEBT_T_m_i_n_t @ summary)) @ (vEBT_T_m_i_n_t @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary))))) @ (numeral_numeral_nat @ (bit1 @ (bit1 @ one)))) @ one_one_nat) @ one_one_nat)!=(vEBT_T_d_e_l_e_t_e @ (vEBT_Node @ (some_P7363390416028606310at_nat @ (product_Pair_nat_nat @ xa @ ma)) @ deg @ treeList @ summary) @ xa)), inference(rw,[status(thm)],[c_0_76, c_0_66])).
487.59/167.88	thf(c_0_86, plain, ((suc @ (suc @ (suc @ (suc @ (suc @ (suc @ (suc @ (suc @ (suc @ (plus_plus_nat @ (numeral_numeral_nat @ (bit0 @ (bit1 @ one))) @ (plus_plus_nat @ (numeral_numeral_nat @ (bit0 @ (bit0 @ (bit1 @ one)))) @ (plus_plus_nat @ (vEBT_T_m_i_n_t @ summary) @ (plus_plus_nat @ (vEBT_T_m_i_n_t @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary)))) @ (if_nat @ ((ord_less_nat @ (vEBT_VEBT_high @ (plus_plus_nat @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary))))) @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (suc @ one_one_nat) @ m))) @ m) @ (power_power_nat @ (suc @ one_one_nat) @ m))) @ (suc @ (suc @ (suc @ (suc @ (suc @ (suc @ (plus_plus_nat @ (vEBT_T_d_e_l_e_t_e @ (nth_VEBT_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary))))) @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (suc @ one_one_nat) @ m))) @ m)) @ (vEBT_VEBT_low @ (plus_plus_nat @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary))))) @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (suc @ one_one_nat) @ m))) @ m)) @ (if_nat @ ((vEBT_VEBT_minNull @ (vEBT_vebt_delete @ (nth_VEBT_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary))))) @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (suc @ one_one_nat) @ m))) @ m)) @ (vEBT_VEBT_low @ (plus_plus_nat @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary))))) @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (suc @ one_one_nat) @ m))) @ m)))) @ (suc @ (suc @ (suc @ (plus_plus_nat @ (vEBT_T_d_e_l_e_t_e @ summary @ (vEBT_VEBT_high @ (plus_plus_nat @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary))))) @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (suc @ one_one_nat) @ m))) @ m)) @ (if_nat @ (((plus_plus_nat @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary))))) @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (suc @ one_one_nat) @ m)))=(ma))) @ (suc @ (suc @ (plus_plus_nat @ (vEBT_T_m_a_x_t @ (vEBT_vebt_delete @ summary @ (vEBT_VEBT_high @ (plus_plus_nat @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary))))) @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (suc @ one_one_nat) @ m))) @ m))) @ (if_nat @ (((vEBT_vebt_maxt @ (vEBT_vebt_delete @ summary @ (vEBT_VEBT_high @ (plus_plus_nat @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary))))) @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (suc @ one_one_nat) @ m))) @ m)))=(none_nat))) @ one_one_nat @ (plus_plus_nat @ (numeral_numeral_nat @ (bit0 @ (bit0 @ (bit0 @ one)))) @ (vEBT_T_m_a_x_t @ (nth_VEBT_VEBT @ (list_u1324408373059187874T_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary))))) @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (suc @ one_one_nat) @ m))) @ m) @ (vEBT_vebt_delete @ (nth_VEBT_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary))))) @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (suc @ one_one_nat) @ m))) @ m)) @ (vEBT_VEBT_low @ (plus_plus_nat @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary))))) @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (suc @ one_one_nat) @ m))) @ m))) @ (the_nat @ (vEBT_vebt_maxt @ (vEBT_vebt_delete @ summary @ (vEBT_VEBT_high @ (plus_plus_nat @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary))))) @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (suc @ one_one_nat) @ m))) @ m))))))))))) @ one_one_nat))))) @ (suc @ (suc @ (if_nat @ (((plus_plus_nat @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary))))) @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (suc @ one_one_nat) @ m)))=(ma))) @ (plus_plus_nat @ (numeral_numeral_nat @ (bit0 @ (bit1 @ one))) @ (vEBT_T_m_a_x_t @ (nth_VEBT_VEBT @ (list_u1324408373059187874T_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary))))) @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (suc @ one_one_nat) @ m))) @ m) @ (vEBT_vebt_delete @ (nth_VEBT_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary))))) @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (suc @ one_one_nat) @ m))) @ m)) @ (vEBT_VEBT_low @ (plus_plus_nat @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary))))) @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (suc @ one_one_nat) @ m))) @ m))) @ (vEBT_VEBT_high @ (plus_plus_nat @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary))))) @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (suc @ one_one_nat) @ m))) @ m)))) @ one_one_nat))))))))))) @ one_one_nat))))))))))))))=(vEBT_T_d_e_l_e_t_e @ (vEBT_Node @ (some_P7363390416028606310at_nat @ (product_Pair_nat_nat @ xa @ ma)) @ deg @ treeList @ summary) @ xa)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_77, c_0_78]), c_0_79]), c_0_78]), c_0_80]), c_0_78]), c_0_79]), c_0_78]), c_0_78]), c_0_79]), c_0_78]), c_0_78]), c_0_79]), c_0_78]), c_0_78]), c_0_79]), c_0_78]), c_0_78]), c_0_79]), c_0_78]), c_0_78]), c_0_79]), c_0_78]), c_0_79]), c_0_78]), c_0_78]), c_0_79]), c_0_78]), c_0_78]), c_0_79]), c_0_78]), c_0_78]), c_0_79]), c_0_78]), c_0_78]), c_0_79]), c_0_78]), c_0_78]), c_0_79]), c_0_78]), c_0_71]), c_0_42]), c_0_71]), c_0_78]), c_0_79]), c_0_78]), c_0_79]), c_0_78]), c_0_78]), c_0_79]), c_0_78]), c_0_78]), c_0_79]), c_0_78]), c_0_78]), c_0_79]), c_0_78]), c_0_81]), c_0_81]), c_0_81]), c_0_71])).
487.59/167.88	thf(c_0_87, plain, ![X1:nat, X2:nat]:(((if_nat @ (~($true)) @ X1 @ X2)=(X2))), inference(cn,[status(thm)],[c_0_82])).
487.59/167.88	thf(c_0_88, plain, ![X1:nat]:(((plus_plus_nat @ X1 @ one_one_nat)=(suc @ X1))), inference(arg_cong,[status(thm)],[c_0_83])).
487.59/167.88	thf(c_0_89, plain, ~((ord_less_nat @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (suc @ one_one_nat) @ (divide_divide_nat @ deg @ (suc @ one_one_nat)))) @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary)))))) @ (divide_divide_nat @ deg @ (suc @ one_one_nat))) @ (power_power_nat @ (suc @ one_one_nat) @ m))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_84, c_0_29]), c_0_29]), c_0_29]), c_0_62])).
487.59/167.88	thf(c_0_90, negated_conjecture, ((suc @ (suc @ (suc @ (suc @ (suc @ (suc @ (suc @ (suc @ (suc @ (suc @ (plus_plus_nat @ (numeral_numeral_nat @ (bit0 @ (bit0 @ (bit1 @ one)))) @ (plus_plus_nat @ (vEBT_T_m_i_n_t @ summary) @ (plus_plus_nat @ (vEBT_T_m_i_n_t @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary)))) @ (numeral_numeral_nat @ (bit0 @ (bit1 @ one))))))))))))))))!=(vEBT_T_d_e_l_e_t_e @ (vEBT_Node @ (some_P7363390416028606310at_nat @ (product_Pair_nat_nat @ xa @ ma)) @ deg @ treeList @ summary) @ xa)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_85, c_0_58]), c_0_44]), c_0_29]), c_0_44]), c_0_29]), c_0_42]), c_0_42]), c_0_59]), c_0_59]), c_0_60]), c_0_29]), c_0_44]), c_0_42]), c_0_59]), c_0_59]), c_0_59]), c_0_59]), c_0_59]), c_0_61]), c_0_59]), c_0_59]), c_0_59]), c_0_59]), c_0_59]), c_0_59]), c_0_59]), c_0_59]), c_0_59]), c_0_59]), c_0_59]), c_0_59]), c_0_59]), c_0_59]), c_0_58]), c_0_44]), c_0_42]), c_0_59]), c_0_59]), c_0_59]), c_0_59]), c_0_59]), c_0_59]), c_0_59]), c_0_58]), c_0_58]), c_0_60]), c_0_29]), c_0_42]), c_0_59]), c_0_59]), c_0_59]), c_0_59]), c_0_59]), c_0_59]), c_0_59]), c_0_59]), c_0_58]), c_0_58]), c_0_58]), c_0_46]), c_0_61]), c_0_42]), c_0_42]), c_0_42])).
487.59/167.88	thf(c_0_91, plain, ((ord_less_nat @ (vEBT_VEBT_high @ (plus_plus_nat @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary))))) @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (suc @ one_one_nat) @ m))) @ m) @ (power_power_nat @ (suc @ one_one_nat) @ m))|((suc @ (suc @ (suc @ (suc @ (suc @ (suc @ (suc @ (suc @ (suc @ (suc @ (plus_plus_nat @ (numeral_numeral_nat @ (bit0 @ (bit1 @ one))) @ (plus_plus_nat @ (numeral_numeral_nat @ (bit0 @ (bit0 @ (bit1 @ one)))) @ (plus_plus_nat @ (vEBT_T_m_i_n_t @ summary) @ (vEBT_T_m_i_n_t @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary)))))))))))))))))=(vEBT_T_d_e_l_e_t_e @ (vEBT_Node @ (some_P7363390416028606310at_nat @ (product_Pair_nat_nat @ xa @ ma)) @ deg @ treeList @ summary) @ xa))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(ext_sup,[status(thm)],[c_0_86, c_0_87])])]), c_0_88]), c_0_42]), c_0_42]), c_0_42])).
487.59/167.88	thf(c_0_92, plain, ~((ord_less_nat @ (vEBT_VEBT_high @ (plus_plus_nat @ (the_nat @ (vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary))))) @ (times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary)) @ (power_power_nat @ (suc @ one_one_nat) @ m))) @ m) @ (power_power_nat @ (suc @ one_one_nat) @ m))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_89, c_0_78]), c_0_79]), c_0_78])).
487.59/167.88	thf(c_0_93, negated_conjecture, ((suc @ (suc @ (suc @ (suc @ (suc @ (suc @ (suc @ (suc @ (suc @ (suc @ (plus_plus_nat @ (numeral_numeral_nat @ (bit0 @ (bit1 @ one))) @ (plus_plus_nat @ (numeral_numeral_nat @ (bit0 @ (bit0 @ (bit1 @ one)))) @ (plus_plus_nat @ (vEBT_T_m_i_n_t @ summary) @ (vEBT_T_m_i_n_t @ (nth_VEBT_VEBT @ treeList @ (the_nat @ (vEBT_vebt_mint @ summary)))))))))))))))))!=(vEBT_T_d_e_l_e_t_e @ (vEBT_Node @ (some_P7363390416028606310at_nat @ (product_Pair_nat_nat @ xa @ ma)) @ deg @ treeList @ summary) @ xa)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_90, c_0_79]), c_0_64]), c_0_64])).
487.59/167.88	thf(c_0_94, plain, ($false), inference(cdclpropres,[status(thm)],[c_0_91, c_0_92, c_0_93]), ['proof']).
487.59/167.88	% SZS output end CNFRefutation
487.59/167.88	% Parsed axioms                        : 11291
487.59/167.88	% Removed by relevancy pruning/SinE    : 7459
487.59/167.88	% Initial clauses                      : 9970
487.59/167.88	% Removed in clause preprocessing      : 1997
487.59/167.88	% Initial clauses in saturation        : 7973
487.59/167.88	% Processed clauses                    : 19933
487.59/167.88	% ...of these trivial                  : 550
487.59/167.88	% ...subsumed                          : 9383
487.59/167.88	% ...remaining for further processing  : 10000
487.59/167.88	% Other redundant clauses eliminated   : 2213
487.59/167.88	% Clauses deleted for lack of memory   : 0
487.59/167.88	% Backward-subsumed                    : 195
487.59/167.88	% Backward-rewritten                   : 259
487.59/167.88	% Generated clauses                    : 43522
487.59/167.88	% ...of the previous two non-redundant : 36610
487.59/167.88	% ...aggressively subsumed             : 0
487.59/167.88	% Contextual simplify-reflections      : 83
487.59/167.88	% Paramodulations                      : 41290
487.59/167.88	% Factorizations                       : 2
487.59/167.88	% NegExts                              : 0
487.59/167.88	% Equation resolutions                 : 2239
487.59/167.88	% Disequality decompositions           : 0
487.59/167.88	% Total rewrite steps                  : 75872
487.59/167.88	% ...of those cached                   : 68423
487.59/167.88	% Propositional unsat checks           : 3
487.59/167.88	%    Propositional check models        : 2
487.59/167.88	%    Propositional check unsatisfiable : 1
487.59/167.88	%    Propositional clauses             : 32354
487.59/167.88	%    Propositional clauses after purity: 3811
487.59/167.88	%    Propositional unsat core size     : 3
487.59/167.88	%    Propositional preprocessing time  : 0.000
487.59/167.88	%    Propositional encoding time       : 0.271
487.59/167.88	%    Propositional solver time         : 0.027
487.59/167.88	%    Success case prop preproc time    : 0.000
487.59/167.88	%    Success case prop encoding time   : 0.150
487.59/167.88	%    Success case prop solver time     : 0.010
487.59/167.88	% Current number of processed clauses  : 2741
487.59/167.88	%    Positive orientable unit clauses  : 1003
487.59/167.88	%    Positive unorientable unit clauses: 57
487.59/167.88	%    Negative unit clauses             : 1052
487.59/167.88	%    Non-unit-clauses                  : 629
487.59/167.88	% Current number of unprocessed clauses: 29613
487.59/167.88	% ...number of literals in the above   : 50321
487.59/167.88	% Current number of archived formulas  : 0
487.59/167.88	% Current number of archived clauses   : 5803
487.59/167.88	% Clause-clause subsumption calls (NU) : 15349414
487.59/167.88	% Rec. Clause-clause subsumption calls : 1531819
487.59/167.88	% Non-unit clause-clause subsumptions  : 2582
487.59/167.88	% Unit Clause-clause subsumption calls : 633753
487.59/167.88	% Rewrite failures with RHS unbound    : 62
487.59/167.88	% BW rewrite match attempts            : 2195
487.59/167.88	% BW rewrite match successes           : 709
487.59/167.88	% Condensation attempts                : 0
487.59/167.88	% Condensation successes               : 0
487.59/167.88	% Termbank termtop insertions          : 9684492
487.59/167.88	% Search garbage collected termcells   : 190546
487.59/167.88	
487.59/167.88	% -------------------------------------------------
487.59/167.88	% User time                : 158.234 s
487.59/167.88	% System time              : 1.734 s
487.59/167.88	% Total time               : 159.968 s
487.59/167.88	% Maximum resident set size: 52312 pages
487.59/167.88	
487.59/167.88	% -------------------------------------------------
487.59/167.88	% User time                : 159.677 s
487.59/167.88	% System time              : 1.793 s
487.59/167.88	% Total time               : 161.470 s
487.59/167.88	% Maximum resident set size: 29952 pages
487.59/167.88	% E exiting
487.59/167.88	EOF