TSTP Solution File: ITP279_1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : ITP279_1 : TPTP v8.1.0. Released v8.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Sep 17 04:18:18 EDT 2022
% Result : Timeout 299.43s 192.49s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ITP279_1 : TPTP v8.1.0. Released v8.0.0.
% 0.03/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Sep 1 06:56:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35 Usage: tptp [options] [-file:]file
% 0.13/0.35 -h, -? prints this message.
% 0.13/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.35 -m, -model generate model.
% 0.13/0.35 -p, -proof generate proof.
% 0.13/0.35 -c, -core generate unsat core of named formulas.
% 0.13/0.35 -st, -statistics display statistics.
% 0.13/0.35 -t:timeout set timeout (in second).
% 0.13/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35 -<param>:<value> configuration parameter and value.
% 0.13/0.35 -o:<output-file> file to place output in.
% 299.43/192.49 % SZS status Theorem
% 299.43/192.49 % SZS output start Proof
% 299.43/192.49 tff(pp_type, type, (
% 299.43/192.49 pp: bool > $o)).
% 299.43/192.49 tff(aa_real_bool_type, type, (
% 299.43/192.49 aa_real_bool: ( fun_real_bool * real ) > bool)).
% 299.43/192.49 tff(aa_VEBT_VEBT_real_type, type, (
% 299.43/192.49 aa_VEBT_VEBT_real: ( fun_VEBT_VEBT_real * vEBT_VEBT ) > real)).
% 299.43/192.49 tff(aa_VEB5832953974749077948T_VEBT_type, type, (
% 299.43/192.49 aa_VEB5832953974749077948T_VEBT: ( fun_VE3165209603783583043T_VEBT * vEBT_VEBT ) > vEBT_VEBT)).
% 299.43/192.49 tff(summary_type, type, (
% 299.43/192.49 summary: vEBT_VEBT)).
% 299.43/192.49 tff(vEBT_Node_type, type, (
% 299.43/192.49 vEBT_Node: ( option4927543243414619207at_nat * nat * list_VEBT_VEBT ) > fun_VE3165209603783583043T_VEBT)).
% 299.43/192.49 tff(treeList_type, type, (
% 299.43/192.49 treeList: list_VEBT_VEBT)).
% 299.43/192.49 tff(aa_nat_nat_type, type, (
% 299.43/192.49 aa_nat_nat: ( fun_nat_nat * nat ) > nat)).
% 299.43/192.49 tff(na_type, type, (
% 299.43/192.49 na: nat)).
% 299.43/192.49 tff(aa_nat_fun_nat_nat_type, type, (
% 299.43/192.49 aa_nat_fun_nat_nat: ( fun_nat_fun_nat_nat * nat ) > fun_nat_nat)).
% 299.43/192.49 tff(plus_plus_nat_type, type, (
% 299.43/192.49 plus_plus_nat: fun_nat_fun_nat_nat)).
% 299.43/192.49 tff(some_P7363390416028606310at_nat_type, type, (
% 299.43/192.49 some_P7363390416028606310at_nat: product_prod_nat_nat > option4927543243414619207at_nat)).
% 299.43/192.49 tff(aa_nat7603221163087113075at_nat_type, type, (
% 299.43/192.49 aa_nat7603221163087113075at_nat: ( fun_na1476630412504255114at_nat * nat ) > product_prod_nat_nat)).
% 299.43/192.49 tff(ma_type, type, (
% 299.43/192.49 ma: nat)).
% 299.43/192.49 tff(product_Pair_nat_nat_type, type, (
% 299.43/192.49 product_Pair_nat_nat: nat > fun_na1476630412504255114at_nat)).
% 299.43/192.49 tff(mi_type, type, (
% 299.43/192.49 mi: nat)).
% 299.43/192.49 tff(vEBT_VEBT_cnt_type, type, (
% 299.43/192.49 vEBT_VEBT_cnt: fun_VEBT_VEBT_real)).
% 299.43/192.49 tff(aa_rea7809428808904475482l_bool_type, type, (
% 299.43/192.49 aa_rea7809428808904475482l_bool: ( fun_re1255401033344146673l_bool * real ) > fun_real_bool)).
% 299.43/192.49 tff(aa_real_real_type, type, (
% 299.43/192.49 aa_real_real: ( fun_real_real * real ) > real)).
% 299.43/192.49 tff(aa_num_real_type, type, (
% 299.43/192.49 aa_num_real: ( fun_num_real * num ) > real)).
% 299.43/192.49 tff(aa_num_num_type, type, (
% 299.43/192.49 aa_num_num: ( fun_num_num * num ) > num)).
% 299.43/192.49 tff(one_type, type, (
% 299.43/192.49 one: num)).
% 299.43/192.49 tff(bit0_type, type, (
% 299.43/192.49 bit0: fun_num_num)).
% 299.43/192.49 tff(bit1_type, type, (
% 299.43/192.49 bit1: fun_num_num)).
% 299.43/192.49 tff(numeral_numeral_real_type, type, (
% 299.43/192.49 numeral_numeral_real: fun_num_real)).
% 299.43/192.49 tff(aa_rea7340605660300375871l_real_type, type, (
% 299.43/192.49 aa_rea7340605660300375871l_real: ( fun_re7681423839302404990l_real * real ) > fun_real_real)).
% 299.43/192.49 tff(divide_divide_real_type, type, (
% 299.43/192.49 divide_divide_real: fun_re7681423839302404990l_real)).
% 299.43/192.49 tff(aa_nat_real_type, type, (
% 299.43/192.49 aa_nat_real: ( fun_nat_real * nat ) > real)).
% 299.43/192.49 tff(aa_real_fun_nat_real_type, type, (
% 299.43/192.49 aa_real_fun_nat_real: ( fun_re4238438383274954274t_real * real ) > fun_nat_real)).
% 299.43/192.49 tff(power_power_real_type, type, (
% 299.43/192.49 power_power_real: fun_re4238438383274954274t_real)).
% 299.43/192.49 tff(minus_minus_real_type, type, (
% 299.43/192.49 minus_minus_real: fun_re7681423839302404990l_real)).
% 299.43/192.49 tff(times_times_real_type, type, (
% 299.43/192.49 times_times_real: fun_re7681423839302404990l_real)).
% 299.43/192.49 tff(ord_less_real_type, type, (
% 299.43/192.49 ord_less_real: fun_re1255401033344146673l_bool)).
% 299.43/192.49 tff(none_P5556105721700978146at_nat_type, type, (
% 299.43/192.49 none_P5556105721700978146at_nat: option4927543243414619207at_nat)).
% 299.43/192.49 tff(suminf_real_type, type, (
% 299.43/192.49 suminf_real: fun_nat_real > real)).
% 299.43/192.49 tff(aTP_Lamm_ce_type, type, (
% 299.43/192.49 aTP_Lamm_ce: fun_nat_real)).
% 299.43/192.49 tff(foldr_real_real_type, type, (
% 299.43/192.49 foldr_real_real: ( fun_re7681423839302404990l_real * list_real ) > fun_real_real)).
% 299.43/192.49 tff(aa_lis1579651418346748858t_real_type, type, (
% 299.43/192.49 aa_lis1579651418346748858t_real: ( fun_li7198739351512068233t_real * list_VEBT_VEBT ) > list_real)).
% 299.43/192.49 tff(map_VEBT_VEBT_real_type, type, (
% 299.43/192.49 map_VEBT_VEBT_real: fun_VEBT_VEBT_real > fun_li7198739351512068233t_real)).
% 299.43/192.49 tff(plus_plus_real_type, type, (
% 299.43/192.49 plus_plus_real: fun_re7681423839302404990l_real)).
% 299.43/192.49 tff(aa_bool_real_type, type, (
% 299.43/192.49 aa_bool_real: ( fun_bool_real * bool ) > real)).
% 299.43/192.49 tff(fTrue_type, type, (
% 299.43/192.49 fTrue: bool)).
% 299.43/192.49 tff(zero_n3304061248610475627l_real_type, type, (
% 299.43/192.49 zero_n3304061248610475627l_real: fun_bool_real)).
% 299.43/192.49 tff(arcosh_real_type, type, (
% 299.43/192.49 arcosh_real: fun_real_real)).
% 299.43/192.49 tff(zero_zero_real_type, type, (
% 299.43/192.49 zero_zero_real: real)).
% 299.43/192.49 tff(one_one_real_type, type, (
% 299.43/192.49 one_one_real: real)).
% 299.43/192.49 tff(ord_less_eq_real_type, type, (
% 299.43/192.49 ord_less_eq_real: fun_re1255401033344146673l_bool)).
% 299.43/192.49 tff(deg_type, type, (
% 299.43/192.49 deg: nat)).
% 299.43/192.49 tff(c_type, type, (
% 299.43/192.49 c: real)).
% 299.43/192.49 tff(1,plain,
% 299.43/192.49 (^[Info: option4927543243414619207at_nat, Deg: nat, TreeList: list_VEBT_VEBT, Summary: vEBT_VEBT] : refl((aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(Info, Deg, TreeList), Summary)) = aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real, aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real, aa_bool_real(zero_n3304061248610475627l_real, fTrue)), aa_VEBT_VEBT_real(vEBT_VEBT_cnt, Summary))), aa_real_real(foldr_real_real(plus_plus_real, aa_lis1579651418346748858t_real(map_VEBT_VEBT_real(vEBT_VEBT_cnt), TreeList)), suminf_real(aTP_Lamm_ce)))) <=> (aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(Info, Deg, TreeList), Summary)) = aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real, aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real, aa_bool_real(zero_n3304061248610475627l_real, fTrue)), aa_VEBT_VEBT_real(vEBT_VEBT_cnt, Summary))), aa_real_real(foldr_real_real(plus_plus_real, aa_lis1579651418346748858t_real(map_VEBT_VEBT_real(vEBT_VEBT_cnt), TreeList)), suminf_real(aTP_Lamm_ce)))))),
% 299.43/192.49 inference(bind,[status(th)],[])).
% 299.43/192.49 tff(2,plain,
% 299.43/192.49 (![Info: option4927543243414619207at_nat, Deg: nat, TreeList: list_VEBT_VEBT, Summary: vEBT_VEBT] : (aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(Info, Deg, TreeList), Summary)) = aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real, aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real, aa_bool_real(zero_n3304061248610475627l_real, fTrue)), aa_VEBT_VEBT_real(vEBT_VEBT_cnt, Summary))), aa_real_real(foldr_real_real(plus_plus_real, aa_lis1579651418346748858t_real(map_VEBT_VEBT_real(vEBT_VEBT_cnt), TreeList)), suminf_real(aTP_Lamm_ce)))) <=> ![Info: option4927543243414619207at_nat, Deg: nat, TreeList: list_VEBT_VEBT, Summary: vEBT_VEBT] : (aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(Info, Deg, TreeList), Summary)) = aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real, aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real, aa_bool_real(zero_n3304061248610475627l_real, fTrue)), aa_VEBT_VEBT_real(vEBT_VEBT_cnt, Summary))), aa_real_real(foldr_real_real(plus_plus_real, aa_lis1579651418346748858t_real(map_VEBT_VEBT_real(vEBT_VEBT_cnt), TreeList)), suminf_real(aTP_Lamm_ce))))),
% 299.43/192.49 inference(quant_intro,[status(thm)],[1])).
% 299.43/192.49 tff(3,plain,
% 299.43/192.49 (^[Info: option4927543243414619207at_nat, Deg: nat, TreeList: list_VEBT_VEBT, Summary: vEBT_VEBT] : rewrite((aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(Info, Deg, TreeList), Summary)) = aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real, aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real, aa_bool_real(zero_n3304061248610475627l_real, fTrue)), aa_VEBT_VEBT_real(vEBT_VEBT_cnt, Summary))), aa_real_real(foldr_real_real(plus_plus_real, aa_lis1579651418346748858t_real(map_VEBT_VEBT_real(vEBT_VEBT_cnt), TreeList)), aa_real_real(arcosh_real, aa_bool_real(zero_n3304061248610475627l_real, fTrue))))) <=> (aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(Info, Deg, TreeList), Summary)) = aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real, aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real, aa_bool_real(zero_n3304061248610475627l_real, fTrue)), aa_VEBT_VEBT_real(vEBT_VEBT_cnt, Summary))), aa_real_real(foldr_real_real(plus_plus_real, aa_lis1579651418346748858t_real(map_VEBT_VEBT_real(vEBT_VEBT_cnt), TreeList)), suminf_real(aTP_Lamm_ce)))))),
% 299.43/192.49 inference(bind,[status(th)],[])).
% 299.43/192.49 tff(4,plain,
% 299.43/192.49 (![Info: option4927543243414619207at_nat, Deg: nat, TreeList: list_VEBT_VEBT, Summary: vEBT_VEBT] : (aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(Info, Deg, TreeList), Summary)) = aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real, aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real, aa_bool_real(zero_n3304061248610475627l_real, fTrue)), aa_VEBT_VEBT_real(vEBT_VEBT_cnt, Summary))), aa_real_real(foldr_real_real(plus_plus_real, aa_lis1579651418346748858t_real(map_VEBT_VEBT_real(vEBT_VEBT_cnt), TreeList)), aa_real_real(arcosh_real, aa_bool_real(zero_n3304061248610475627l_real, fTrue))))) <=> ![Info: option4927543243414619207at_nat, Deg: nat, TreeList: list_VEBT_VEBT, Summary: vEBT_VEBT] : (aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(Info, Deg, TreeList), Summary)) = aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real, aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real, aa_bool_real(zero_n3304061248610475627l_real, fTrue)), aa_VEBT_VEBT_real(vEBT_VEBT_cnt, Summary))), aa_real_real(foldr_real_real(plus_plus_real, aa_lis1579651418346748858t_real(map_VEBT_VEBT_real(vEBT_VEBT_cnt), TreeList)), suminf_real(aTP_Lamm_ce))))),
% 299.43/192.49 inference(quant_intro,[status(thm)],[3])).
% 299.43/192.49 tff(5,plain,
% 299.43/192.49 (^[Info: option4927543243414619207at_nat, Deg: nat, TreeList: list_VEBT_VEBT, Summary: vEBT_VEBT] : rewrite((aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(Info, Deg, TreeList), Summary)) = aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real, aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real, aa_bool_real(zero_n3304061248610475627l_real, fTrue)), aa_VEBT_VEBT_real(vEBT_VEBT_cnt, Summary))), aa_real_real(foldr_real_real(plus_plus_real, aa_lis1579651418346748858t_real(map_VEBT_VEBT_real(vEBT_VEBT_cnt), TreeList)), aa_real_real(arcosh_real, aa_num_real(numeral_numeral_real, one))))) <=> (aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(Info, Deg, TreeList), Summary)) = aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real, aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real, aa_bool_real(zero_n3304061248610475627l_real, fTrue)), aa_VEBT_VEBT_real(vEBT_VEBT_cnt, Summary))), aa_real_real(foldr_real_real(plus_plus_real, aa_lis1579651418346748858t_real(map_VEBT_VEBT_real(vEBT_VEBT_cnt), TreeList)), aa_real_real(arcosh_real, aa_bool_real(zero_n3304061248610475627l_real, fTrue))))))),
% 299.43/192.49 inference(bind,[status(th)],[])).
% 299.43/192.49 tff(6,plain,
% 299.43/192.49 (![Info: option4927543243414619207at_nat, Deg: nat, TreeList: list_VEBT_VEBT, Summary: vEBT_VEBT] : (aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(Info, Deg, TreeList), Summary)) = aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real, aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real, aa_bool_real(zero_n3304061248610475627l_real, fTrue)), aa_VEBT_VEBT_real(vEBT_VEBT_cnt, Summary))), aa_real_real(foldr_real_real(plus_plus_real, aa_lis1579651418346748858t_real(map_VEBT_VEBT_real(vEBT_VEBT_cnt), TreeList)), aa_real_real(arcosh_real, aa_num_real(numeral_numeral_real, one))))) <=> ![Info: option4927543243414619207at_nat, Deg: nat, TreeList: list_VEBT_VEBT, Summary: vEBT_VEBT] : (aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(Info, Deg, TreeList), Summary)) = aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real, aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real, aa_bool_real(zero_n3304061248610475627l_real, fTrue)), aa_VEBT_VEBT_real(vEBT_VEBT_cnt, Summary))), aa_real_real(foldr_real_real(plus_plus_real, aa_lis1579651418346748858t_real(map_VEBT_VEBT_real(vEBT_VEBT_cnt), TreeList)), aa_real_real(arcosh_real, aa_bool_real(zero_n3304061248610475627l_real, fTrue)))))),
% 299.43/192.49 inference(quant_intro,[status(thm)],[5])).
% 299.43/192.49 tff(7,plain,
% 299.43/192.49 (^[Info: option4927543243414619207at_nat, Deg: nat, TreeList: list_VEBT_VEBT, Summary: vEBT_VEBT] : rewrite((aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(Info, Deg, TreeList), Summary)) = aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real, aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real, aa_num_real(numeral_numeral_real, one)), aa_VEBT_VEBT_real(vEBT_VEBT_cnt, Summary))), aa_real_real(foldr_real_real(plus_plus_real, aa_lis1579651418346748858t_real(map_VEBT_VEBT_real(vEBT_VEBT_cnt), TreeList)), aa_real_real(aa_rea7340605660300375871l_real(minus_minus_real, aa_num_real(numeral_numeral_real, one)), aa_num_real(numeral_numeral_real, one))))) <=> (aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(Info, Deg, TreeList), Summary)) = aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real, aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real, aa_bool_real(zero_n3304061248610475627l_real, fTrue)), aa_VEBT_VEBT_real(vEBT_VEBT_cnt, Summary))), aa_real_real(foldr_real_real(plus_plus_real, aa_lis1579651418346748858t_real(map_VEBT_VEBT_real(vEBT_VEBT_cnt), TreeList)), aa_real_real(arcosh_real, aa_num_real(numeral_numeral_real, one))))))),
% 299.43/192.49 inference(bind,[status(th)],[])).
% 299.43/192.49 tff(8,plain,
% 299.43/192.49 (![Info: option4927543243414619207at_nat, Deg: nat, TreeList: list_VEBT_VEBT, Summary: vEBT_VEBT] : (aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(Info, Deg, TreeList), Summary)) = aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real, aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real, aa_num_real(numeral_numeral_real, one)), aa_VEBT_VEBT_real(vEBT_VEBT_cnt, Summary))), aa_real_real(foldr_real_real(plus_plus_real, aa_lis1579651418346748858t_real(map_VEBT_VEBT_real(vEBT_VEBT_cnt), TreeList)), aa_real_real(aa_rea7340605660300375871l_real(minus_minus_real, aa_num_real(numeral_numeral_real, one)), aa_num_real(numeral_numeral_real, one))))) <=> ![Info: option4927543243414619207at_nat, Deg: nat, TreeList: list_VEBT_VEBT, Summary: vEBT_VEBT] : (aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(Info, Deg, TreeList), Summary)) = aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real, aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real, aa_bool_real(zero_n3304061248610475627l_real, fTrue)), aa_VEBT_VEBT_real(vEBT_VEBT_cnt, Summary))), aa_real_real(foldr_real_real(plus_plus_real, aa_lis1579651418346748858t_real(map_VEBT_VEBT_real(vEBT_VEBT_cnt), TreeList)), aa_real_real(arcosh_real, aa_num_real(numeral_numeral_real, one)))))),
% 299.43/192.49 inference(quant_intro,[status(thm)],[7])).
% 299.43/192.49 tff(9,plain,
% 299.43/192.49 (^[Info: option4927543243414619207at_nat, Deg: nat, TreeList: list_VEBT_VEBT, Summary: vEBT_VEBT] : rewrite((aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(Info, Deg, TreeList), Summary)) = aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real, aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real, one_one_real), aa_VEBT_VEBT_real(vEBT_VEBT_cnt, Summary))), aa_real_real(foldr_real_real(plus_plus_real, aa_lis1579651418346748858t_real(map_VEBT_VEBT_real(vEBT_VEBT_cnt), TreeList)), zero_zero_real))) <=> (aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(Info, Deg, TreeList), Summary)) = aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real, aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real, aa_num_real(numeral_numeral_real, one)), aa_VEBT_VEBT_real(vEBT_VEBT_cnt, Summary))), aa_real_real(foldr_real_real(plus_plus_real, aa_lis1579651418346748858t_real(map_VEBT_VEBT_real(vEBT_VEBT_cnt), TreeList)), aa_real_real(aa_rea7340605660300375871l_real(minus_minus_real, aa_num_real(numeral_numeral_real, one)), aa_num_real(numeral_numeral_real, one))))))),
% 299.43/192.49 inference(bind,[status(th)],[])).
% 299.43/192.49 tff(10,plain,
% 299.43/192.49 (![Info: option4927543243414619207at_nat, Deg: nat, TreeList: list_VEBT_VEBT, Summary: vEBT_VEBT] : (aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(Info, Deg, TreeList), Summary)) = aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real, aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real, one_one_real), aa_VEBT_VEBT_real(vEBT_VEBT_cnt, Summary))), aa_real_real(foldr_real_real(plus_plus_real, aa_lis1579651418346748858t_real(map_VEBT_VEBT_real(vEBT_VEBT_cnt), TreeList)), zero_zero_real))) <=> ![Info: option4927543243414619207at_nat, Deg: nat, TreeList: list_VEBT_VEBT, Summary: vEBT_VEBT] : (aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(Info, Deg, TreeList), Summary)) = aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real, aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real, aa_num_real(numeral_numeral_real, one)), aa_VEBT_VEBT_real(vEBT_VEBT_cnt, Summary))), aa_real_real(foldr_real_real(plus_plus_real, aa_lis1579651418346748858t_real(map_VEBT_VEBT_real(vEBT_VEBT_cnt), TreeList)), aa_real_real(aa_rea7340605660300375871l_real(minus_minus_real, aa_num_real(numeral_numeral_real, one)), aa_num_real(numeral_numeral_real, one)))))),
% 299.43/192.49 inference(quant_intro,[status(thm)],[9])).
% 299.43/192.49 tff(11,plain,
% 299.43/192.49 (![Info: option4927543243414619207at_nat, Deg: nat, TreeList: list_VEBT_VEBT, Summary: vEBT_VEBT] : (aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(Info, Deg, TreeList), Summary)) = aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real, aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real, one_one_real), aa_VEBT_VEBT_real(vEBT_VEBT_cnt, Summary))), aa_real_real(foldr_real_real(plus_plus_real, aa_lis1579651418346748858t_real(map_VEBT_VEBT_real(vEBT_VEBT_cnt), TreeList)), zero_zero_real))) <=> ![Info: option4927543243414619207at_nat, Deg: nat, TreeList: list_VEBT_VEBT, Summary: vEBT_VEBT] : (aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(Info, Deg, TreeList), Summary)) = aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real, aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real, one_one_real), aa_VEBT_VEBT_real(vEBT_VEBT_cnt, Summary))), aa_real_real(foldr_real_real(plus_plus_real, aa_lis1579651418346748858t_real(map_VEBT_VEBT_real(vEBT_VEBT_cnt), TreeList)), zero_zero_real)))),
% 299.43/192.49 inference(rewrite,[status(thm)],[])).
% 299.43/192.49 tff(12,axiom,(![Info: option4927543243414619207at_nat, Deg: nat, TreeList: list_VEBT_VEBT, Summary: vEBT_VEBT] : (aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(Info, Deg, TreeList), Summary)) = aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real, aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real, one_one_real), aa_VEBT_VEBT_real(vEBT_VEBT_cnt, Summary))), aa_real_real(foldr_real_real(plus_plus_real, aa_lis1579651418346748858t_real(map_VEBT_VEBT_real(vEBT_VEBT_cnt), TreeList)), zero_zero_real)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','fact_9208_VEBT__internal_Ocnt_Osimps_I2_J')).
% 299.43/192.49 tff(13,plain,
% 299.43/192.49 (![Info: option4927543243414619207at_nat, Deg: nat, TreeList: list_VEBT_VEBT, Summary: vEBT_VEBT] : (aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(Info, Deg, TreeList), Summary)) = aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real, aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real, one_one_real), aa_VEBT_VEBT_real(vEBT_VEBT_cnt, Summary))), aa_real_real(foldr_real_real(plus_plus_real, aa_lis1579651418346748858t_real(map_VEBT_VEBT_real(vEBT_VEBT_cnt), TreeList)), zero_zero_real)))),
% 299.43/192.49 inference(modus_ponens,[status(thm)],[12, 11])).
% 299.43/192.49 tff(14,plain,
% 299.43/192.49 (![Info: option4927543243414619207at_nat, Deg: nat, TreeList: list_VEBT_VEBT, Summary: vEBT_VEBT] : (aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(Info, Deg, TreeList), Summary)) = aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real, aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real, aa_num_real(numeral_numeral_real, one)), aa_VEBT_VEBT_real(vEBT_VEBT_cnt, Summary))), aa_real_real(foldr_real_real(plus_plus_real, aa_lis1579651418346748858t_real(map_VEBT_VEBT_real(vEBT_VEBT_cnt), TreeList)), aa_real_real(aa_rea7340605660300375871l_real(minus_minus_real, aa_num_real(numeral_numeral_real, one)), aa_num_real(numeral_numeral_real, one)))))),
% 299.43/192.49 inference(modus_ponens,[status(thm)],[13, 10])).
% 299.43/192.49 tff(15,plain,
% 299.43/192.49 (![Info: option4927543243414619207at_nat, Deg: nat, TreeList: list_VEBT_VEBT, Summary: vEBT_VEBT] : (aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(Info, Deg, TreeList), Summary)) = aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real, aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real, aa_bool_real(zero_n3304061248610475627l_real, fTrue)), aa_VEBT_VEBT_real(vEBT_VEBT_cnt, Summary))), aa_real_real(foldr_real_real(plus_plus_real, aa_lis1579651418346748858t_real(map_VEBT_VEBT_real(vEBT_VEBT_cnt), TreeList)), aa_real_real(arcosh_real, aa_num_real(numeral_numeral_real, one)))))),
% 299.43/192.49 inference(modus_ponens,[status(thm)],[14, 8])).
% 299.43/192.49 tff(16,plain,
% 299.43/192.49 (![Info: option4927543243414619207at_nat, Deg: nat, TreeList: list_VEBT_VEBT, Summary: vEBT_VEBT] : (aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(Info, Deg, TreeList), Summary)) = aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real, aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real, aa_bool_real(zero_n3304061248610475627l_real, fTrue)), aa_VEBT_VEBT_real(vEBT_VEBT_cnt, Summary))), aa_real_real(foldr_real_real(plus_plus_real, aa_lis1579651418346748858t_real(map_VEBT_VEBT_real(vEBT_VEBT_cnt), TreeList)), aa_real_real(arcosh_real, aa_bool_real(zero_n3304061248610475627l_real, fTrue)))))),
% 299.43/192.49 inference(modus_ponens,[status(thm)],[15, 6])).
% 299.43/192.49 tff(17,plain,
% 299.43/192.49 (![Info: option4927543243414619207at_nat, Deg: nat, TreeList: list_VEBT_VEBT, Summary: vEBT_VEBT] : (aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(Info, Deg, TreeList), Summary)) = aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real, aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real, aa_bool_real(zero_n3304061248610475627l_real, fTrue)), aa_VEBT_VEBT_real(vEBT_VEBT_cnt, Summary))), aa_real_real(foldr_real_real(plus_plus_real, aa_lis1579651418346748858t_real(map_VEBT_VEBT_real(vEBT_VEBT_cnt), TreeList)), suminf_real(aTP_Lamm_ce))))),
% 299.43/192.49 inference(modus_ponens,[status(thm)],[16, 4])).
% 299.43/192.49 tff(18,plain,(
% 299.43/192.49 ![Info: option4927543243414619207at_nat, Deg: nat, TreeList: list_VEBT_VEBT, Summary: vEBT_VEBT] : (aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(Info, Deg, TreeList), Summary)) = aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real, aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real, aa_bool_real(zero_n3304061248610475627l_real, fTrue)), aa_VEBT_VEBT_real(vEBT_VEBT_cnt, Summary))), aa_real_real(foldr_real_real(plus_plus_real, aa_lis1579651418346748858t_real(map_VEBT_VEBT_real(vEBT_VEBT_cnt), TreeList)), suminf_real(aTP_Lamm_ce))))),
% 299.43/192.49 inference(skolemize,[status(sab)],[17])).
% 299.43/192.49 tff(19,plain,
% 299.43/192.49 (![Info: option4927543243414619207at_nat, Deg: nat, TreeList: list_VEBT_VEBT, Summary: vEBT_VEBT] : (aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(Info, Deg, TreeList), Summary)) = aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real, aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real, aa_bool_real(zero_n3304061248610475627l_real, fTrue)), aa_VEBT_VEBT_real(vEBT_VEBT_cnt, Summary))), aa_real_real(foldr_real_real(plus_plus_real, aa_lis1579651418346748858t_real(map_VEBT_VEBT_real(vEBT_VEBT_cnt), TreeList)), suminf_real(aTP_Lamm_ce))))),
% 299.43/192.49 inference(modus_ponens,[status(thm)],[18, 2])).
% 299.43/192.49 tff(20,plain,
% 299.43/192.49 ((~![Info: option4927543243414619207at_nat, Deg: nat, TreeList: list_VEBT_VEBT, Summary: vEBT_VEBT] : (aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(Info, Deg, TreeList), Summary)) = aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real, aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real, aa_bool_real(zero_n3304061248610475627l_real, fTrue)), aa_VEBT_VEBT_real(vEBT_VEBT_cnt, Summary))), aa_real_real(foldr_real_real(plus_plus_real, aa_lis1579651418346748858t_real(map_VEBT_VEBT_real(vEBT_VEBT_cnt), TreeList)), suminf_real(aTP_Lamm_ce))))) | (aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(none_P5556105721700978146at_nat, aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na), treeList), summary)) = aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real, aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real, aa_bool_real(zero_n3304061248610475627l_real, fTrue)), aa_VEBT_VEBT_real(vEBT_VEBT_cnt, summary))), aa_real_real(foldr_real_real(plus_plus_real, aa_lis1579651418346748858t_real(map_VEBT_VEBT_real(vEBT_VEBT_cnt), treeList)), suminf_real(aTP_Lamm_ce))))),
% 299.43/192.49 inference(quant_inst,[status(thm)],[])).
% 299.43/192.49 tff(21,plain,
% 299.43/192.49 (aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(none_P5556105721700978146at_nat, aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na), treeList), summary)) = aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real, aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real, aa_bool_real(zero_n3304061248610475627l_real, fTrue)), aa_VEBT_VEBT_real(vEBT_VEBT_cnt, summary))), aa_real_real(foldr_real_real(plus_plus_real, aa_lis1579651418346748858t_real(map_VEBT_VEBT_real(vEBT_VEBT_cnt), treeList)), suminf_real(aTP_Lamm_ce)))),
% 299.43/192.49 inference(unit_resolution,[status(thm)],[20, 19])).
% 299.43/192.49 tff(22,plain,
% 299.43/192.49 (aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real, aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real, aa_bool_real(zero_n3304061248610475627l_real, fTrue)), aa_VEBT_VEBT_real(vEBT_VEBT_cnt, summary))), aa_real_real(foldr_real_real(plus_plus_real, aa_lis1579651418346748858t_real(map_VEBT_VEBT_real(vEBT_VEBT_cnt), treeList)), suminf_real(aTP_Lamm_ce))) = aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(none_P5556105721700978146at_nat, aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na), treeList), summary))),
% 299.43/192.49 inference(symmetry,[status(thm)],[21])).
% 299.43/192.49 tff(23,plain,
% 299.43/192.49 ((~![Info: option4927543243414619207at_nat, Deg: nat, TreeList: list_VEBT_VEBT, Summary: vEBT_VEBT] : (aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(Info, Deg, TreeList), Summary)) = aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real, aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real, aa_bool_real(zero_n3304061248610475627l_real, fTrue)), aa_VEBT_VEBT_real(vEBT_VEBT_cnt, Summary))), aa_real_real(foldr_real_real(plus_plus_real, aa_lis1579651418346748858t_real(map_VEBT_VEBT_real(vEBT_VEBT_cnt), TreeList)), suminf_real(aTP_Lamm_ce))))) | (aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi), ma)), aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na), treeList), summary)) = aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real, aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real, aa_bool_real(zero_n3304061248610475627l_real, fTrue)), aa_VEBT_VEBT_real(vEBT_VEBT_cnt, summary))), aa_real_real(foldr_real_real(plus_plus_real, aa_lis1579651418346748858t_real(map_VEBT_VEBT_real(vEBT_VEBT_cnt), treeList)), suminf_real(aTP_Lamm_ce))))),
% 299.43/192.49 inference(quant_inst,[status(thm)],[])).
% 299.43/192.49 tff(24,plain,
% 299.43/192.49 (aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi), ma)), aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na), treeList), summary)) = aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real, aa_real_real(aa_rea7340605660300375871l_real(plus_plus_real, aa_bool_real(zero_n3304061248610475627l_real, fTrue)), aa_VEBT_VEBT_real(vEBT_VEBT_cnt, summary))), aa_real_real(foldr_real_real(plus_plus_real, aa_lis1579651418346748858t_real(map_VEBT_VEBT_real(vEBT_VEBT_cnt), treeList)), suminf_real(aTP_Lamm_ce)))),
% 299.43/192.49 inference(unit_resolution,[status(thm)],[23, 19])).
% 299.43/192.49 tff(25,plain,
% 299.43/192.49 (aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi), ma)), aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na), treeList), summary)) = aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(none_P5556105721700978146at_nat, aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na), treeList), summary))),
% 299.43/192.49 inference(transitivity,[status(thm)],[24, 22])).
% 299.43/192.49 tff(26,plain,
% 299.43/192.49 (aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real, aa_real_real(aa_rea7340605660300375871l_real(times_times_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_real_real(aa_rea7340605660300375871l_real(minus_minus_real, aa_nat_real(aa_real_fun_nat_real(power_power_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na))), aa_real_real(aa_rea7340605660300375871l_real(divide_divide_real, aa_num_real(numeral_numeral_real, aa_num_num(bit1, aa_num_num(bit1, aa_num_num(bit1, one))))), aa_num_real(numeral_numeral_real, aa_num_num(bit0, aa_num_num(bit1, aa_num_num(bit0, one)))))))), aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi), ma)), aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na), treeList), summary))) = aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real, aa_real_real(aa_rea7340605660300375871l_real(times_times_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_real_real(aa_rea7340605660300375871l_real(minus_minus_real, aa_nat_real(aa_real_fun_nat_real(power_power_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na))), aa_real_real(aa_rea7340605660300375871l_real(divide_divide_real, aa_num_real(numeral_numeral_real, aa_num_num(bit1, aa_num_num(bit1, aa_num_num(bit1, one))))), aa_num_real(numeral_numeral_real, aa_num_num(bit0, aa_num_num(bit1, aa_num_num(bit0, one)))))))), aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(none_P5556105721700978146at_nat, aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na), treeList), summary)))),
% 299.43/192.49 inference(monotonicity,[status(thm)],[25])).
% 299.43/192.49 tff(27,plain,
% 299.43/192.49 (pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real, aa_real_real(aa_rea7340605660300375871l_real(times_times_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_real_real(aa_rea7340605660300375871l_real(minus_minus_real, aa_nat_real(aa_real_fun_nat_real(power_power_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na))), aa_real_real(aa_rea7340605660300375871l_real(divide_divide_real, aa_num_real(numeral_numeral_real, aa_num_num(bit1, aa_num_num(bit1, aa_num_num(bit1, one))))), aa_num_real(numeral_numeral_real, aa_num_num(bit0, aa_num_num(bit1, aa_num_num(bit0, one)))))))), aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi), ma)), aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na), treeList), summary)))) <=> pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real, aa_real_real(aa_rea7340605660300375871l_real(times_times_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_real_real(aa_rea7340605660300375871l_real(minus_minus_real, aa_nat_real(aa_real_fun_nat_real(power_power_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na))), aa_real_real(aa_rea7340605660300375871l_real(divide_divide_real, aa_num_real(numeral_numeral_real, aa_num_num(bit1, aa_num_num(bit1, aa_num_num(bit1, one))))), aa_num_real(numeral_numeral_real, aa_num_num(bit0, aa_num_num(bit1, aa_num_num(bit0, one)))))))), aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(none_P5556105721700978146at_nat, aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na), treeList), summary))))),
% 299.43/192.49 inference(monotonicity,[status(thm)],[26])).
% 299.43/192.49 tff(28,plain,
% 299.43/192.49 (pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real, aa_real_real(aa_rea7340605660300375871l_real(times_times_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_real_real(aa_rea7340605660300375871l_real(minus_minus_real, aa_nat_real(aa_real_fun_nat_real(power_power_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na))), aa_real_real(aa_rea7340605660300375871l_real(divide_divide_real, aa_num_real(numeral_numeral_real, aa_num_num(bit1, aa_num_num(bit1, aa_num_num(bit1, one))))), aa_num_real(numeral_numeral_real, aa_num_num(bit0, aa_num_num(bit1, aa_num_num(bit0, one)))))))), aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(none_P5556105721700978146at_nat, aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na), treeList), summary)))) <=> pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real, aa_real_real(aa_rea7340605660300375871l_real(times_times_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_real_real(aa_rea7340605660300375871l_real(minus_minus_real, aa_nat_real(aa_real_fun_nat_real(power_power_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na))), aa_real_real(aa_rea7340605660300375871l_real(divide_divide_real, aa_num_real(numeral_numeral_real, aa_num_num(bit1, aa_num_num(bit1, aa_num_num(bit1, one))))), aa_num_real(numeral_numeral_real, aa_num_num(bit0, aa_num_num(bit1, aa_num_num(bit0, one)))))))), aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi), ma)), aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na), treeList), summary))))),
% 299.43/192.49 inference(symmetry,[status(thm)],[27])).
% 299.43/192.49 tff(29,plain,
% 299.43/192.49 ((~pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real, aa_real_real(aa_rea7340605660300375871l_real(times_times_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_real_real(aa_rea7340605660300375871l_real(minus_minus_real, aa_nat_real(aa_real_fun_nat_real(power_power_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na))), aa_real_real(aa_rea7340605660300375871l_real(divide_divide_real, aa_num_real(numeral_numeral_real, aa_num_num(bit1, aa_num_num(bit1, aa_num_num(bit1, one))))), aa_num_real(numeral_numeral_real, aa_num_num(bit0, aa_num_num(bit1, aa_num_num(bit0, one)))))))), aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(none_P5556105721700978146at_nat, aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na), treeList), summary))))) <=> (~pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real, aa_real_real(aa_rea7340605660300375871l_real(times_times_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_real_real(aa_rea7340605660300375871l_real(minus_minus_real, aa_nat_real(aa_real_fun_nat_real(power_power_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na))), aa_real_real(aa_rea7340605660300375871l_real(divide_divide_real, aa_num_real(numeral_numeral_real, aa_num_num(bit1, aa_num_num(bit1, aa_num_num(bit1, one))))), aa_num_real(numeral_numeral_real, aa_num_num(bit0, aa_num_num(bit1, aa_num_num(bit0, one)))))))), aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi), ma)), aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na), treeList), summary)))))),
% 299.43/192.49 inference(monotonicity,[status(thm)],[28])).
% 299.43/192.49 tff(30,plain,
% 299.43/192.49 (^[Y: real, X2: real] : refl(((~pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real, Y), X2))) | (~pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real, X2), Y)))) <=> ((~pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real, Y), X2))) | (~pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real, X2), Y)))))),
% 299.43/192.49 inference(bind,[status(th)],[])).
% 299.43/192.49 tff(31,plain,
% 299.43/192.49 (![Y: real, X2: real] : ((~pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real, Y), X2))) | (~pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real, X2), Y)))) <=> ![Y: real, X2: real] : ((~pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real, Y), X2))) | (~pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real, X2), Y))))),
% 299.43/192.49 inference(quant_intro,[status(thm)],[30])).
% 299.43/192.49 tff(32,plain,
% 299.43/192.49 (![Y: real, X2: real] : ((~pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real, Y), X2))) | (~pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real, X2), Y)))) <=> ![Y: real, X2: real] : ((~pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real, Y), X2))) | (~pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real, X2), Y))))),
% 299.43/192.50 inference(rewrite,[status(thm)],[])).
% 299.43/192.50 tff(33,plain,
% 299.43/192.50 (^[Y: real, X2: real] : rewrite((pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real, Y), X2)) => (~pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real, X2), Y)))) <=> ((~pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real, Y), X2))) | (~pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real, X2), Y)))))),
% 299.43/192.50 inference(bind,[status(th)],[])).
% 299.43/192.50 tff(34,plain,
% 299.43/192.50 (![Y: real, X2: real] : (pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real, Y), X2)) => (~pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real, X2), Y)))) <=> ![Y: real, X2: real] : ((~pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real, Y), X2))) | (~pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real, X2), Y))))),
% 299.43/192.50 inference(quant_intro,[status(thm)],[33])).
% 299.43/192.50 tff(35,axiom,(![Y: real, X2: real] : (pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real, Y), X2)) => (~pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real, X2), Y))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','fact_8912_leD')).
% 299.43/192.50 tff(36,plain,
% 299.43/192.50 (![Y: real, X2: real] : ((~pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real, Y), X2))) | (~pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real, X2), Y))))),
% 299.43/192.50 inference(modus_ponens,[status(thm)],[35, 34])).
% 299.43/192.50 tff(37,plain,
% 299.43/192.50 (![Y: real, X2: real] : ((~pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real, Y), X2))) | (~pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real, X2), Y))))),
% 299.43/192.50 inference(modus_ponens,[status(thm)],[36, 32])).
% 299.43/192.50 tff(38,plain,(
% 299.43/192.50 ![Y: real, X2: real] : ((~pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real, Y), X2))) | (~pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real, X2), Y))))),
% 299.43/192.50 inference(skolemize,[status(sab)],[37])).
% 299.43/192.50 tff(39,plain,
% 299.43/192.50 (![Y: real, X2: real] : ((~pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real, Y), X2))) | (~pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real, X2), Y))))),
% 299.43/192.50 inference(modus_ponens,[status(thm)],[38, 31])).
% 299.43/192.50 tff(40,plain,
% 299.43/192.50 (pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real, aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(none_P5556105721700978146at_nat, deg, treeList), summary))), aa_real_real(aa_rea7340605660300375871l_real(times_times_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_real_real(aa_rea7340605660300375871l_real(minus_minus_real, aa_nat_real(aa_real_fun_nat_real(power_power_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na))), aa_real_real(aa_rea7340605660300375871l_real(divide_divide_real, aa_num_real(numeral_numeral_real, aa_num_num(bit1, aa_num_num(bit1, aa_num_num(bit1, one))))), aa_num_real(numeral_numeral_real, aa_num_num(bit0, aa_num_num(bit1, aa_num_num(bit0, one))))))))) <=> pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real, aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(none_P5556105721700978146at_nat, aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na), treeList), summary))), aa_real_real(aa_rea7340605660300375871l_real(times_times_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_real_real(aa_rea7340605660300375871l_real(minus_minus_real, aa_nat_real(aa_real_fun_nat_real(power_power_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na))), aa_real_real(aa_rea7340605660300375871l_real(divide_divide_real, aa_num_real(numeral_numeral_real, aa_num_num(bit1, aa_num_num(bit1, aa_num_num(bit1, one))))), aa_num_real(numeral_numeral_real, aa_num_num(bit0, aa_num_num(bit1, aa_num_num(bit0, one)))))))))),
% 299.43/192.50 inference(rewrite,[status(thm)],[])).
% 299.43/192.50 tff(41,plain,
% 299.43/192.50 (pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real, aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(none_P5556105721700978146at_nat, deg, treeList), summary))), aa_real_real(aa_rea7340605660300375871l_real(times_times_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_real_real(aa_rea7340605660300375871l_real(minus_minus_real, aa_nat_real(aa_real_fun_nat_real(power_power_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na))), aa_real_real(aa_rea7340605660300375871l_real(divide_divide_real, aa_num_real(numeral_numeral_real, aa_num_num(bit1, aa_num_num(bit1, aa_num_num(bit1, one))))), aa_num_real(numeral_numeral_real, aa_num_num(bit0, aa_num_num(bit1, aa_num_num(bit0, one))))))))) <=> pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real, aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(none_P5556105721700978146at_nat, deg, treeList), summary))), aa_real_real(aa_rea7340605660300375871l_real(times_times_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_real_real(aa_rea7340605660300375871l_real(minus_minus_real, aa_nat_real(aa_real_fun_nat_real(power_power_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na))), aa_real_real(aa_rea7340605660300375871l_real(divide_divide_real, aa_num_real(numeral_numeral_real, aa_num_num(bit1, aa_num_num(bit1, aa_num_num(bit1, one))))), aa_num_real(numeral_numeral_real, aa_num_num(bit0, aa_num_num(bit1, aa_num_num(bit0, one)))))))))),
% 299.43/192.50 inference(rewrite,[status(thm)],[])).
% 299.43/192.50 tff(42,axiom,(pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real, aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(none_P5556105721700978146at_nat, deg, treeList), summary))), aa_real_real(aa_rea7340605660300375871l_real(times_times_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_real_real(aa_rea7340605660300375871l_real(minus_minus_real, aa_nat_real(aa_real_fun_nat_real(power_power_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na))), aa_real_real(aa_rea7340605660300375871l_real(divide_divide_real, aa_num_real(numeral_numeral_real, aa_num_num(bit1, aa_num_num(bit1, aa_num_num(bit1, one))))), aa_num_real(numeral_numeral_real, aa_num_num(bit0, aa_num_num(bit1, aa_num_num(bit0, one)))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','fact_4__092_060open_062cnt_A_INode_ANone_Adeg_AtreeList_Asummary_J_A_092_060le_062_A2_A_K_A_I2_A_094_A_In_A_L_An_J_A_N_A15_A_P_A10_J_092_060close_062')).
% 299.43/192.50 tff(43,plain,
% 299.43/192.50 (pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real, aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(none_P5556105721700978146at_nat, deg, treeList), summary))), aa_real_real(aa_rea7340605660300375871l_real(times_times_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_real_real(aa_rea7340605660300375871l_real(minus_minus_real, aa_nat_real(aa_real_fun_nat_real(power_power_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na))), aa_real_real(aa_rea7340605660300375871l_real(divide_divide_real, aa_num_real(numeral_numeral_real, aa_num_num(bit1, aa_num_num(bit1, aa_num_num(bit1, one))))), aa_num_real(numeral_numeral_real, aa_num_num(bit0, aa_num_num(bit1, aa_num_num(bit0, one)))))))))),
% 299.43/192.50 inference(modus_ponens,[status(thm)],[42, 41])).
% 299.43/192.50 tff(44,plain,
% 299.43/192.50 (pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real, aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(none_P5556105721700978146at_nat, aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na), treeList), summary))), aa_real_real(aa_rea7340605660300375871l_real(times_times_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_real_real(aa_rea7340605660300375871l_real(minus_minus_real, aa_nat_real(aa_real_fun_nat_real(power_power_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na))), aa_real_real(aa_rea7340605660300375871l_real(divide_divide_real, aa_num_real(numeral_numeral_real, aa_num_num(bit1, aa_num_num(bit1, aa_num_num(bit1, one))))), aa_num_real(numeral_numeral_real, aa_num_num(bit0, aa_num_num(bit1, aa_num_num(bit0, one)))))))))),
% 299.43/192.50 inference(modus_ponens,[status(thm)],[43, 40])).
% 299.43/192.50 tff(45,plain,
% 299.43/192.50 (((~![Y: real, X2: real] : ((~pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real, Y), X2))) | (~pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real, X2), Y))))) | ((~pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real, aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(none_P5556105721700978146at_nat, aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na), treeList), summary))), aa_real_real(aa_rea7340605660300375871l_real(times_times_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_real_real(aa_rea7340605660300375871l_real(minus_minus_real, aa_nat_real(aa_real_fun_nat_real(power_power_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na))), aa_real_real(aa_rea7340605660300375871l_real(divide_divide_real, aa_num_real(numeral_numeral_real, aa_num_num(bit1, aa_num_num(bit1, aa_num_num(bit1, one))))), aa_num_real(numeral_numeral_real, aa_num_num(bit0, aa_num_num(bit1, aa_num_num(bit0, one)))))))))) | (~pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real, aa_real_real(aa_rea7340605660300375871l_real(times_times_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_real_real(aa_rea7340605660300375871l_real(minus_minus_real, aa_nat_real(aa_real_fun_nat_real(power_power_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na))), aa_real_real(aa_rea7340605660300375871l_real(divide_divide_real, aa_num_real(numeral_numeral_real, aa_num_num(bit1, aa_num_num(bit1, aa_num_num(bit1, one))))), aa_num_real(numeral_numeral_real, aa_num_num(bit0, aa_num_num(bit1, aa_num_num(bit0, one)))))))), aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(none_P5556105721700978146at_nat, aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na), treeList), summary))))))) <=> ((~![Y: real, X2: real] : ((~pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real, Y), X2))) | (~pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real, X2), Y))))) | (~pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real, aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(none_P5556105721700978146at_nat, aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na), treeList), summary))), aa_real_real(aa_rea7340605660300375871l_real(times_times_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_real_real(aa_rea7340605660300375871l_real(minus_minus_real, aa_nat_real(aa_real_fun_nat_real(power_power_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na))), aa_real_real(aa_rea7340605660300375871l_real(divide_divide_real, aa_num_real(numeral_numeral_real, aa_num_num(bit1, aa_num_num(bit1, aa_num_num(bit1, one))))), aa_num_real(numeral_numeral_real, aa_num_num(bit0, aa_num_num(bit1, aa_num_num(bit0, one)))))))))) | (~pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real, aa_real_real(aa_rea7340605660300375871l_real(times_times_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_real_real(aa_rea7340605660300375871l_real(minus_minus_real, aa_nat_real(aa_real_fun_nat_real(power_power_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na))), aa_real_real(aa_rea7340605660300375871l_real(divide_divide_real, aa_num_real(numeral_numeral_real, aa_num_num(bit1, aa_num_num(bit1, aa_num_num(bit1, one))))), aa_num_real(numeral_numeral_real, aa_num_num(bit0, aa_num_num(bit1, aa_num_num(bit0, one)))))))), aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(none_P5556105721700978146at_nat, aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na), treeList), summary))))))),
% 299.43/192.50 inference(rewrite,[status(thm)],[])).
% 299.43/192.50 tff(46,plain,
% 299.43/192.50 ((~![Y: real, X2: real] : ((~pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real, Y), X2))) | (~pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real, X2), Y))))) | ((~pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real, aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(none_P5556105721700978146at_nat, aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na), treeList), summary))), aa_real_real(aa_rea7340605660300375871l_real(times_times_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_real_real(aa_rea7340605660300375871l_real(minus_minus_real, aa_nat_real(aa_real_fun_nat_real(power_power_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na))), aa_real_real(aa_rea7340605660300375871l_real(divide_divide_real, aa_num_real(numeral_numeral_real, aa_num_num(bit1, aa_num_num(bit1, aa_num_num(bit1, one))))), aa_num_real(numeral_numeral_real, aa_num_num(bit0, aa_num_num(bit1, aa_num_num(bit0, one)))))))))) | (~pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real, aa_real_real(aa_rea7340605660300375871l_real(times_times_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_real_real(aa_rea7340605660300375871l_real(minus_minus_real, aa_nat_real(aa_real_fun_nat_real(power_power_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na))), aa_real_real(aa_rea7340605660300375871l_real(divide_divide_real, aa_num_real(numeral_numeral_real, aa_num_num(bit1, aa_num_num(bit1, aa_num_num(bit1, one))))), aa_num_real(numeral_numeral_real, aa_num_num(bit0, aa_num_num(bit1, aa_num_num(bit0, one)))))))), aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(none_P5556105721700978146at_nat, aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na), treeList), summary))))))),
% 299.43/192.50 inference(quant_inst,[status(thm)],[])).
% 299.43/192.50 tff(47,plain,
% 299.43/192.50 ((~![Y: real, X2: real] : ((~pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real, Y), X2))) | (~pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real, X2), Y))))) | (~pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real, aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(none_P5556105721700978146at_nat, aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na), treeList), summary))), aa_real_real(aa_rea7340605660300375871l_real(times_times_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_real_real(aa_rea7340605660300375871l_real(minus_minus_real, aa_nat_real(aa_real_fun_nat_real(power_power_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na))), aa_real_real(aa_rea7340605660300375871l_real(divide_divide_real, aa_num_real(numeral_numeral_real, aa_num_num(bit1, aa_num_num(bit1, aa_num_num(bit1, one))))), aa_num_real(numeral_numeral_real, aa_num_num(bit0, aa_num_num(bit1, aa_num_num(bit0, one)))))))))) | (~pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real, aa_real_real(aa_rea7340605660300375871l_real(times_times_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_real_real(aa_rea7340605660300375871l_real(minus_minus_real, aa_nat_real(aa_real_fun_nat_real(power_power_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na))), aa_real_real(aa_rea7340605660300375871l_real(divide_divide_real, aa_num_real(numeral_numeral_real, aa_num_num(bit1, aa_num_num(bit1, aa_num_num(bit1, one))))), aa_num_real(numeral_numeral_real, aa_num_num(bit0, aa_num_num(bit1, aa_num_num(bit0, one)))))))), aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(none_P5556105721700978146at_nat, aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na), treeList), summary)))))),
% 299.43/192.50 inference(modus_ponens,[status(thm)],[46, 45])).
% 299.43/192.50 tff(48,plain,
% 299.43/192.50 (~pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real, aa_real_real(aa_rea7340605660300375871l_real(times_times_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_real_real(aa_rea7340605660300375871l_real(minus_minus_real, aa_nat_real(aa_real_fun_nat_real(power_power_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na))), aa_real_real(aa_rea7340605660300375871l_real(divide_divide_real, aa_num_real(numeral_numeral_real, aa_num_num(bit1, aa_num_num(bit1, aa_num_num(bit1, one))))), aa_num_real(numeral_numeral_real, aa_num_num(bit0, aa_num_num(bit1, aa_num_num(bit0, one)))))))), aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(none_P5556105721700978146at_nat, aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na), treeList), summary))))),
% 299.43/192.50 inference(unit_resolution,[status(thm)],[47, 44, 39])).
% 299.43/192.50 tff(49,plain,
% 299.43/192.50 (~pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real, aa_real_real(aa_rea7340605660300375871l_real(times_times_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_real_real(aa_rea7340605660300375871l_real(minus_minus_real, aa_nat_real(aa_real_fun_nat_real(power_power_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na))), aa_real_real(aa_rea7340605660300375871l_real(divide_divide_real, aa_num_real(numeral_numeral_real, aa_num_num(bit1, aa_num_num(bit1, aa_num_num(bit1, one))))), aa_num_real(numeral_numeral_real, aa_num_num(bit0, aa_num_num(bit1, aa_num_num(bit0, one)))))))), aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi), ma)), aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na), treeList), summary))))),
% 299.43/192.50 inference(modus_ponens,[status(thm)],[48, 29])).
% 299.43/192.50 tff(50,plain,
% 299.43/192.50 ((~pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real, aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi), ma)), deg, treeList), summary))), aa_real_real(aa_rea7340605660300375871l_real(times_times_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_real_real(aa_rea7340605660300375871l_real(minus_minus_real, aa_nat_real(aa_real_fun_nat_real(power_power_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), deg)), c))))) <=> (~pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real, aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi), ma)), aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na), treeList), summary))), aa_real_real(aa_rea7340605660300375871l_real(times_times_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_real_real(aa_rea7340605660300375871l_real(minus_minus_real, aa_nat_real(aa_real_fun_nat_real(power_power_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na))), aa_real_real(aa_rea7340605660300375871l_real(divide_divide_real, aa_num_real(numeral_numeral_real, aa_num_num(bit1, aa_num_num(bit1, aa_num_num(bit1, one))))), aa_num_real(numeral_numeral_real, aa_num_num(bit0, aa_num_num(bit1, aa_num_num(bit0, one))))))))))),
% 299.43/192.50 inference(rewrite,[status(thm)],[])).
% 299.43/192.50 tff(51,plain,
% 299.43/192.50 ((~pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real, aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi), ma)), deg, treeList), summary))), aa_real_real(aa_rea7340605660300375871l_real(times_times_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_real_real(aa_rea7340605660300375871l_real(minus_minus_real, aa_nat_real(aa_real_fun_nat_real(power_power_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), deg)), c))))) <=> (~pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real, aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi), ma)), deg, treeList), summary))), aa_real_real(aa_rea7340605660300375871l_real(times_times_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_real_real(aa_rea7340605660300375871l_real(minus_minus_real, aa_nat_real(aa_real_fun_nat_real(power_power_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), deg)), c)))))),
% 299.43/192.50 inference(rewrite,[status(thm)],[])).
% 299.43/192.50 tff(52,axiom,(~pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real, aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi), ma)), deg, treeList), summary))), aa_real_real(aa_rea7340605660300375871l_real(times_times_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_real_real(aa_rea7340605660300375871l_real(minus_minus_real, aa_nat_real(aa_real_fun_nat_real(power_power_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), deg)), c))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','conj_0')).
% 299.43/192.50 tff(53,plain,
% 299.43/192.50 (~pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real, aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi), ma)), deg, treeList), summary))), aa_real_real(aa_rea7340605660300375871l_real(times_times_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_real_real(aa_rea7340605660300375871l_real(minus_minus_real, aa_nat_real(aa_real_fun_nat_real(power_power_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), deg)), c))))),
% 299.43/192.50 inference(modus_ponens,[status(thm)],[52, 51])).
% 299.43/192.50 tff(54,plain,
% 299.43/192.50 (~pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real, aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi), ma)), aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na), treeList), summary))), aa_real_real(aa_rea7340605660300375871l_real(times_times_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_real_real(aa_rea7340605660300375871l_real(minus_minus_real, aa_nat_real(aa_real_fun_nat_real(power_power_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na))), aa_real_real(aa_rea7340605660300375871l_real(divide_divide_real, aa_num_real(numeral_numeral_real, aa_num_num(bit1, aa_num_num(bit1, aa_num_num(bit1, one))))), aa_num_real(numeral_numeral_real, aa_num_num(bit0, aa_num_num(bit1, aa_num_num(bit0, one)))))))))),
% 299.43/192.50 inference(modus_ponens,[status(thm)],[53, 50])).
% 299.43/192.50 tff(55,plain,
% 299.43/192.50 (^[X2: real, Y: real] : refl((pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real, X2), Y)) | pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real, Y), X2))) <=> (pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real, X2), Y)) | pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real, Y), X2))))),
% 299.43/192.50 inference(bind,[status(th)],[])).
% 299.43/192.50 tff(56,plain,
% 299.43/192.50 (![X2: real, Y: real] : (pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real, X2), Y)) | pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real, Y), X2))) <=> ![X2: real, Y: real] : (pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real, X2), Y)) | pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real, Y), X2)))),
% 299.43/192.50 inference(quant_intro,[status(thm)],[55])).
% 299.43/192.50 tff(57,plain,
% 299.43/192.50 (![X2: real, Y: real] : (pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real, X2), Y)) | pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real, Y), X2))) <=> ![X2: real, Y: real] : (pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real, X2), Y)) | pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real, Y), X2)))),
% 299.43/192.50 inference(rewrite,[status(thm)],[])).
% 299.43/192.50 tff(58,plain,
% 299.43/192.50 (^[X2: real, Y: real] : rewrite(((~pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real, X2), Y))) => pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real, Y), X2))) <=> (pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real, X2), Y)) | pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real, Y), X2))))),
% 299.43/192.50 inference(bind,[status(th)],[])).
% 299.43/192.50 tff(59,plain,
% 299.43/192.50 (![X2: real, Y: real] : ((~pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real, X2), Y))) => pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real, Y), X2))) <=> ![X2: real, Y: real] : (pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real, X2), Y)) | pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real, Y), X2)))),
% 299.43/192.50 inference(quant_intro,[status(thm)],[58])).
% 299.43/192.50 tff(60,axiom,(![X2: real, Y: real] : ((~pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real, X2), Y))) => pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real, Y), X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','fact_8907_leI')).
% 299.43/192.50 tff(61,plain,
% 299.43/192.50 (![X2: real, Y: real] : (pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real, X2), Y)) | pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real, Y), X2)))),
% 299.43/192.50 inference(modus_ponens,[status(thm)],[60, 59])).
% 299.43/192.50 tff(62,plain,
% 299.43/192.50 (![X2: real, Y: real] : (pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real, X2), Y)) | pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real, Y), X2)))),
% 299.43/192.50 inference(modus_ponens,[status(thm)],[61, 57])).
% 299.43/192.50 tff(63,plain,(
% 299.43/192.50 ![X2: real, Y: real] : (pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real, X2), Y)) | pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real, Y), X2)))),
% 299.43/192.50 inference(skolemize,[status(sab)],[62])).
% 299.43/192.50 tff(64,plain,
% 299.43/192.50 (![X2: real, Y: real] : (pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real, X2), Y)) | pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real, Y), X2)))),
% 299.43/192.50 inference(modus_ponens,[status(thm)],[63, 56])).
% 299.43/192.50 tff(65,plain,
% 299.43/192.50 (((~![X2: real, Y: real] : (pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real, X2), Y)) | pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real, Y), X2)))) | (pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real, aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi), ma)), aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na), treeList), summary))), aa_real_real(aa_rea7340605660300375871l_real(times_times_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_real_real(aa_rea7340605660300375871l_real(minus_minus_real, aa_nat_real(aa_real_fun_nat_real(power_power_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na))), aa_real_real(aa_rea7340605660300375871l_real(divide_divide_real, aa_num_real(numeral_numeral_real, aa_num_num(bit1, aa_num_num(bit1, aa_num_num(bit1, one))))), aa_num_real(numeral_numeral_real, aa_num_num(bit0, aa_num_num(bit1, aa_num_num(bit0, one))))))))) | pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real, aa_real_real(aa_rea7340605660300375871l_real(times_times_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_real_real(aa_rea7340605660300375871l_real(minus_minus_real, aa_nat_real(aa_real_fun_nat_real(power_power_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na))), aa_real_real(aa_rea7340605660300375871l_real(divide_divide_real, aa_num_real(numeral_numeral_real, aa_num_num(bit1, aa_num_num(bit1, aa_num_num(bit1, one))))), aa_num_real(numeral_numeral_real, aa_num_num(bit0, aa_num_num(bit1, aa_num_num(bit0, one)))))))), aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi), ma)), aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na), treeList), summary)))))) <=> ((~![X2: real, Y: real] : (pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real, X2), Y)) | pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real, Y), X2)))) | pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real, aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi), ma)), aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na), treeList), summary))), aa_real_real(aa_rea7340605660300375871l_real(times_times_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_real_real(aa_rea7340605660300375871l_real(minus_minus_real, aa_nat_real(aa_real_fun_nat_real(power_power_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na))), aa_real_real(aa_rea7340605660300375871l_real(divide_divide_real, aa_num_real(numeral_numeral_real, aa_num_num(bit1, aa_num_num(bit1, aa_num_num(bit1, one))))), aa_num_real(numeral_numeral_real, aa_num_num(bit0, aa_num_num(bit1, aa_num_num(bit0, one))))))))) | pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real, aa_real_real(aa_rea7340605660300375871l_real(times_times_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_real_real(aa_rea7340605660300375871l_real(minus_minus_real, aa_nat_real(aa_real_fun_nat_real(power_power_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na))), aa_real_real(aa_rea7340605660300375871l_real(divide_divide_real, aa_num_real(numeral_numeral_real, aa_num_num(bit1, aa_num_num(bit1, aa_num_num(bit1, one))))), aa_num_real(numeral_numeral_real, aa_num_num(bit0, aa_num_num(bit1, aa_num_num(bit0, one)))))))), aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi), ma)), aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na), treeList), summary)))))),
% 299.43/192.50 inference(rewrite,[status(thm)],[])).
% 299.43/192.50 tff(66,plain,
% 299.43/192.50 ((pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real, aa_real_real(aa_rea7340605660300375871l_real(times_times_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_real_real(aa_rea7340605660300375871l_real(minus_minus_real, aa_nat_real(aa_real_fun_nat_real(power_power_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na))), aa_real_real(aa_rea7340605660300375871l_real(divide_divide_real, aa_num_real(numeral_numeral_real, aa_num_num(bit1, aa_num_num(bit1, aa_num_num(bit1, one))))), aa_num_real(numeral_numeral_real, aa_num_num(bit0, aa_num_num(bit1, aa_num_num(bit0, one)))))))), aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi), ma)), aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na), treeList), summary)))) | pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real, aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi), ma)), aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na), treeList), summary))), aa_real_real(aa_rea7340605660300375871l_real(times_times_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_real_real(aa_rea7340605660300375871l_real(minus_minus_real, aa_nat_real(aa_real_fun_nat_real(power_power_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na))), aa_real_real(aa_rea7340605660300375871l_real(divide_divide_real, aa_num_real(numeral_numeral_real, aa_num_num(bit1, aa_num_num(bit1, aa_num_num(bit1, one))))), aa_num_real(numeral_numeral_real, aa_num_num(bit0, aa_num_num(bit1, aa_num_num(bit0, one)))))))))) <=> (pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real, aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi), ma)), aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na), treeList), summary))), aa_real_real(aa_rea7340605660300375871l_real(times_times_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_real_real(aa_rea7340605660300375871l_real(minus_minus_real, aa_nat_real(aa_real_fun_nat_real(power_power_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na))), aa_real_real(aa_rea7340605660300375871l_real(divide_divide_real, aa_num_real(numeral_numeral_real, aa_num_num(bit1, aa_num_num(bit1, aa_num_num(bit1, one))))), aa_num_real(numeral_numeral_real, aa_num_num(bit0, aa_num_num(bit1, aa_num_num(bit0, one))))))))) | pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real, aa_real_real(aa_rea7340605660300375871l_real(times_times_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_real_real(aa_rea7340605660300375871l_real(minus_minus_real, aa_nat_real(aa_real_fun_nat_real(power_power_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na))), aa_real_real(aa_rea7340605660300375871l_real(divide_divide_real, aa_num_real(numeral_numeral_real, aa_num_num(bit1, aa_num_num(bit1, aa_num_num(bit1, one))))), aa_num_real(numeral_numeral_real, aa_num_num(bit0, aa_num_num(bit1, aa_num_num(bit0, one)))))))), aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi), ma)), aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na), treeList), summary)))))),
% 299.43/192.50 inference(rewrite,[status(thm)],[])).
% 299.43/192.50 tff(67,plain,
% 299.43/192.50 (((~![X2: real, Y: real] : (pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real, X2), Y)) | pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real, Y), X2)))) | (pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real, aa_real_real(aa_rea7340605660300375871l_real(times_times_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_real_real(aa_rea7340605660300375871l_real(minus_minus_real, aa_nat_real(aa_real_fun_nat_real(power_power_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na))), aa_real_real(aa_rea7340605660300375871l_real(divide_divide_real, aa_num_real(numeral_numeral_real, aa_num_num(bit1, aa_num_num(bit1, aa_num_num(bit1, one))))), aa_num_real(numeral_numeral_real, aa_num_num(bit0, aa_num_num(bit1, aa_num_num(bit0, one)))))))), aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi), ma)), aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na), treeList), summary)))) | pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real, aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi), ma)), aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na), treeList), summary))), aa_real_real(aa_rea7340605660300375871l_real(times_times_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_real_real(aa_rea7340605660300375871l_real(minus_minus_real, aa_nat_real(aa_real_fun_nat_real(power_power_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na))), aa_real_real(aa_rea7340605660300375871l_real(divide_divide_real, aa_num_real(numeral_numeral_real, aa_num_num(bit1, aa_num_num(bit1, aa_num_num(bit1, one))))), aa_num_real(numeral_numeral_real, aa_num_num(bit0, aa_num_num(bit1, aa_num_num(bit0, one))))))))))) <=> ((~![X2: real, Y: real] : (pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real, X2), Y)) | pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real, Y), X2)))) | (pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real, aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi), ma)), aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na), treeList), summary))), aa_real_real(aa_rea7340605660300375871l_real(times_times_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_real_real(aa_rea7340605660300375871l_real(minus_minus_real, aa_nat_real(aa_real_fun_nat_real(power_power_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na))), aa_real_real(aa_rea7340605660300375871l_real(divide_divide_real, aa_num_real(numeral_numeral_real, aa_num_num(bit1, aa_num_num(bit1, aa_num_num(bit1, one))))), aa_num_real(numeral_numeral_real, aa_num_num(bit0, aa_num_num(bit1, aa_num_num(bit0, one))))))))) | pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real, aa_real_real(aa_rea7340605660300375871l_real(times_times_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_real_real(aa_rea7340605660300375871l_real(minus_minus_real, aa_nat_real(aa_real_fun_nat_real(power_power_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na))), aa_real_real(aa_rea7340605660300375871l_real(divide_divide_real, aa_num_real(numeral_numeral_real, aa_num_num(bit1, aa_num_num(bit1, aa_num_num(bit1, one))))), aa_num_real(numeral_numeral_real, aa_num_num(bit0, aa_num_num(bit1, aa_num_num(bit0, one)))))))), aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi), ma)), aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na), treeList), summary))))))),
% 299.43/192.51 inference(monotonicity,[status(thm)],[66])).
% 299.43/192.51 tff(68,plain,
% 299.43/192.51 (((~![X2: real, Y: real] : (pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real, X2), Y)) | pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real, Y), X2)))) | (pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real, aa_real_real(aa_rea7340605660300375871l_real(times_times_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_real_real(aa_rea7340605660300375871l_real(minus_minus_real, aa_nat_real(aa_real_fun_nat_real(power_power_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na))), aa_real_real(aa_rea7340605660300375871l_real(divide_divide_real, aa_num_real(numeral_numeral_real, aa_num_num(bit1, aa_num_num(bit1, aa_num_num(bit1, one))))), aa_num_real(numeral_numeral_real, aa_num_num(bit0, aa_num_num(bit1, aa_num_num(bit0, one)))))))), aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi), ma)), aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na), treeList), summary)))) | pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real, aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi), ma)), aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na), treeList), summary))), aa_real_real(aa_rea7340605660300375871l_real(times_times_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_real_real(aa_rea7340605660300375871l_real(minus_minus_real, aa_nat_real(aa_real_fun_nat_real(power_power_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na))), aa_real_real(aa_rea7340605660300375871l_real(divide_divide_real, aa_num_real(numeral_numeral_real, aa_num_num(bit1, aa_num_num(bit1, aa_num_num(bit1, one))))), aa_num_real(numeral_numeral_real, aa_num_num(bit0, aa_num_num(bit1, aa_num_num(bit0, one))))))))))) <=> ((~![X2: real, Y: real] : (pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real, X2), Y)) | pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real, Y), X2)))) | pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real, aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi), ma)), aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na), treeList), summary))), aa_real_real(aa_rea7340605660300375871l_real(times_times_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_real_real(aa_rea7340605660300375871l_real(minus_minus_real, aa_nat_real(aa_real_fun_nat_real(power_power_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na))), aa_real_real(aa_rea7340605660300375871l_real(divide_divide_real, aa_num_real(numeral_numeral_real, aa_num_num(bit1, aa_num_num(bit1, aa_num_num(bit1, one))))), aa_num_real(numeral_numeral_real, aa_num_num(bit0, aa_num_num(bit1, aa_num_num(bit0, one))))))))) | pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real, aa_real_real(aa_rea7340605660300375871l_real(times_times_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_real_real(aa_rea7340605660300375871l_real(minus_minus_real, aa_nat_real(aa_real_fun_nat_real(power_power_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na))), aa_real_real(aa_rea7340605660300375871l_real(divide_divide_real, aa_num_real(numeral_numeral_real, aa_num_num(bit1, aa_num_num(bit1, aa_num_num(bit1, one))))), aa_num_real(numeral_numeral_real, aa_num_num(bit0, aa_num_num(bit1, aa_num_num(bit0, one)))))))), aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi), ma)), aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na), treeList), summary)))))),
% 299.43/192.51 inference(transitivity,[status(thm)],[67, 65])).
% 299.43/192.51 tff(69,plain,
% 299.43/192.51 ((~![X2: real, Y: real] : (pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real, X2), Y)) | pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real, Y), X2)))) | (pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_real, aa_real_real(aa_rea7340605660300375871l_real(times_times_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_real_real(aa_rea7340605660300375871l_real(minus_minus_real, aa_nat_real(aa_real_fun_nat_real(power_power_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na))), aa_real_real(aa_rea7340605660300375871l_real(divide_divide_real, aa_num_real(numeral_numeral_real, aa_num_num(bit1, aa_num_num(bit1, aa_num_num(bit1, one))))), aa_num_real(numeral_numeral_real, aa_num_num(bit0, aa_num_num(bit1, aa_num_num(bit0, one)))))))), aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi), ma)), aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na), treeList), summary)))) | pp(aa_real_bool(aa_rea7809428808904475482l_bool(ord_less_eq_real, aa_VEBT_VEBT_real(vEBT_VEBT_cnt, aa_VEB5832953974749077948T_VEBT(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi), ma)), aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na), treeList), summary))), aa_real_real(aa_rea7340605660300375871l_real(times_times_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_real_real(aa_rea7340605660300375871l_real(minus_minus_real, aa_nat_real(aa_real_fun_nat_real(power_power_real, aa_num_real(numeral_numeral_real, aa_num_num(bit0, one))), aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat, na), na))), aa_real_real(aa_rea7340605660300375871l_real(divide_divide_real, aa_num_real(numeral_numeral_real, aa_num_num(bit1, aa_num_num(bit1, aa_num_num(bit1, one))))), aa_num_real(numeral_numeral_real, aa_num_num(bit0, aa_num_num(bit1, aa_num_num(bit0, one))))))))))),
% 299.43/192.51 inference(quant_inst,[status(thm)],[])).
% 299.43/192.51 tff(70,plain,
% 299.43/192.51 ((~![X2: real, Y: real] : (pp(aa_real_bool(aa_rea7809
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