%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : ITP239_4 : TPTP v8.1.2. Released v8.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n021.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 : Sun May  5 07:11:51 EDT 2024

% Result   : Theorem 8.26s 2.10s
% Output   : Refutation 8.48s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : ITP239_4 : TPTP v8.1.2. Released v8.0.0.
% 0.09/0.11  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.30  % Computer : n021.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 300
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Fri May  3 19:19:38 EDT 2024
% 0.10/0.30  % CPUTime    : 
% 0.10/0.30  % (2620)Running in auto input_syntax mode. Trying TPTP
% 0.78/0.99  % (2623)WARNING: value z3 for option sas not known
% 0.78/0.99  % (2622)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.78/0.99  % (2625)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.78/0.99  % (2624)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.78/0.99  % (2626)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.78/0.99  % (2621)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.78/0.99  % (2623)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.78/0.99  % (2627)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 5.70/1.72  % (2627)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 7.35/1.92  % Exception at run slice level
% 7.35/1.92  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 7.35/1.93  % (2628)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 7.35/1.96  % (2623)First to succeed.
% 7.76/2.01  % (2627)Also succeeded, but the first one will report.
% 7.76/2.03  % (2629)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on theBenchmark for (382ds/0Mi)
% 8.26/2.10  % (2623)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2620"
% 8.26/2.10  % (2623)Refutation found. Thanks to Tanya!
% 8.26/2.10  % SZS status Theorem for theBenchmark
% 8.26/2.10  % SZS output start Proof for theBenchmark
% 8.26/2.10  tff(type_def_5, type, vEBT_VEBT: $tType).
% 8.26/2.10  tff(type_def_6, type, code_integer: $tType).
% 8.26/2.10  tff(type_def_7, type, product_unit: $tType).
% 8.26/2.10  tff(type_def_8, type, product_prod: ($tType * $tType) > $tType).
% 8.26/2.10  tff(type_def_9, type, extended_enat: $tType).
% 8.26/2.10  tff(type_def_10, type, complex: $tType).
% 8.26/2.10  tff(type_def_11, type, sum_sum: ($tType * $tType) > $tType).
% 8.26/2.10  tff(type_def_12, type, option: $tType > $tType).
% 8.26/2.10  tff(type_def_13, type, filter: $tType > $tType).
% 8.26/2.10  tff(type_def_14, type, char: $tType).
% 8.26/2.10  tff(type_def_15, type, real: $tType).
% 8.26/2.10  tff(type_def_16, type, list: $tType > $tType).
% 8.26/2.10  tff(type_def_17, type, set: $tType > $tType).
% 8.26/2.10  tff(type_def_18, type, rat: $tType).
% 8.26/2.10  tff(type_def_19, type, num: $tType).
% 8.26/2.10  tff(type_def_20, type, nat: $tType).
% 8.26/2.10  tff(type_def_21, type, int: $tType).
% 8.26/2.10  tff(type_def_22, type, fun: ($tType * $tType) > $tType).
% 8.26/2.10  tff(type_def_23, type, a: $tType).
% 8.26/2.10  tff(func_def_0, type, aTP_Lamp_a: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_1, type, aTP_Lamp_aa: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_2, type, aTP_Lamp_aaa: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_3, type, aTP_Lamp_aab: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_4, type, aTP_Lamp_aac: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_5, type, aTP_Lamp_aad: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_6, type, aTP_Lamp_aae: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_7, type, aTP_Lamp_aaf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_8, type, aTP_Lamp_aag: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_9, type, aTP_Lamp_aah: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_10, type, aTP_Lamp_aai: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_11, type, aTP_Lamp_aaj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_12, type, aTP_Lamp_aak: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_13, type, aTP_Lamp_aal: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_14, type, aTP_Lamp_aam: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_15, type, aTP_Lamp_aan: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_16, type, aTP_Lamp_aao: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_17, type, aTP_Lamp_aap: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.10  tff(func_def_18, type, aTP_Lamp_aaq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_19, type, aTP_Lamp_aar: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_20, type, aTP_Lamp_aas: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_21, type, aTP_Lamp_aat: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_22, type, aTP_Lamp_aau: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.10  tff(func_def_23, type, aTP_Lamp_aav: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_24, type, aTP_Lamp_aaw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_25, type, aTP_Lamp_aax: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_26, type, aTP_Lamp_aay: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_27, type, aTP_Lamp_aaz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_28, type, aTP_Lamp_ab: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_29, type, aTP_Lamp_aba: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_30, type, aTP_Lamp_abb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_31, type, aTP_Lamp_abc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_32, type, aTP_Lamp_abd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_33, type, aTP_Lamp_abe: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.10  tff(func_def_34, type, aTP_Lamp_abf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_35, type, aTP_Lamp_abg: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.10  tff(func_def_36, type, aTP_Lamp_abh: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.10  tff(func_def_37, type, aTP_Lamp_abi: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_38, type, aTP_Lamp_abj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_39, type, aTP_Lamp_abk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_40, type, aTP_Lamp_abl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_41, type, aTP_Lamp_abm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_42, type, aTP_Lamp_abn: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.10  tff(func_def_43, type, aTP_Lamp_abo: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_44, type, aTP_Lamp_abp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_45, type, aTP_Lamp_abq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_46, type, aTP_Lamp_abr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_47, type, aTP_Lamp_abs: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_48, type, aTP_Lamp_abt: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_49, type, aTP_Lamp_abu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_50, type, aTP_Lamp_abv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_51, type, aTP_Lamp_abw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_52, type, aTP_Lamp_abx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_53, type, aTP_Lamp_aby: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_54, type, aTP_Lamp_abz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_55, type, aTP_Lamp_ac: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.10  tff(func_def_56, type, aTP_Lamp_aca: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_57, type, aTP_Lamp_acb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_58, type, aTP_Lamp_acc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_59, type, aTP_Lamp_acd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_60, type, aTP_Lamp_ace: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_61, type, aTP_Lamp_acf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_62, type, aTP_Lamp_acg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_63, type, aTP_Lamp_ach: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_64, type, aTP_Lamp_aci: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.10  tff(func_def_65, type, aTP_Lamp_acj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_66, type, aTP_Lamp_ack: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_67, type, aTP_Lamp_acl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_68, type, aTP_Lamp_acm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_69, type, aTP_Lamp_acn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_70, type, aTP_Lamp_aco: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_71, type, aTP_Lamp_acp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_72, type, aTP_Lamp_acq: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.10  tff(func_def_73, type, aTP_Lamp_acr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_74, type, aTP_Lamp_acs: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_75, type, aTP_Lamp_act: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_76, type, aTP_Lamp_acu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_77, type, aTP_Lamp_acv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_78, type, aTP_Lamp_acw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_79, type, aTP_Lamp_acx: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.10  tff(func_def_80, type, aTP_Lamp_acy: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_81, type, aTP_Lamp_acz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_82, type, aTP_Lamp_ad: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_83, type, aTP_Lamp_ada: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_84, type, aTP_Lamp_adb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_85, type, aTP_Lamp_adc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_86, type, aTP_Lamp_add: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_87, type, aTP_Lamp_ade: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_88, type, aTP_Lamp_adf: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.10  tff(func_def_89, type, aTP_Lamp_adg: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.10  tff(func_def_90, type, aTP_Lamp_adh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_91, type, aTP_Lamp_adi: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_92, type, aTP_Lamp_adj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_93, type, aTP_Lamp_adk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_94, type, aTP_Lamp_adl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_95, type, aTP_Lamp_adm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_96, type, aTP_Lamp_adn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_97, type, aTP_Lamp_ado: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_98, type, aTP_Lamp_adp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_99, type, aTP_Lamp_adq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_100, type, aTP_Lamp_adr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_101, type, aTP_Lamp_ads: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_102, type, aTP_Lamp_adt: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_103, type, aTP_Lamp_adu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_104, type, aTP_Lamp_adv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_105, type, aTP_Lamp_adw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_106, type, aTP_Lamp_adx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_107, type, aTP_Lamp_ady: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_108, type, aTP_Lamp_adz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_109, type, aTP_Lamp_ae: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.10  tff(func_def_110, type, aTP_Lamp_aea: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_111, type, aTP_Lamp_aeb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_112, type, aTP_Lamp_aec: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_113, type, aTP_Lamp_aed: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_114, type, aTP_Lamp_aee: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_115, type, aTP_Lamp_aef: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_116, type, aTP_Lamp_aeg: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.10  tff(func_def_117, type, aTP_Lamp_aeh: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.10  tff(func_def_118, type, aTP_Lamp_aei: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_119, type, aTP_Lamp_aej: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_120, type, aTP_Lamp_aek: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_121, type, aTP_Lamp_ael: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_122, type, aTP_Lamp_aem: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_123, type, aTP_Lamp_aen: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_124, type, aTP_Lamp_aeo: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_125, type, aTP_Lamp_aep: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_126, type, aTP_Lamp_aeq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_127, type, aTP_Lamp_aer: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_128, type, aTP_Lamp_aes: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_129, type, aTP_Lamp_aet: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_130, type, aTP_Lamp_aeu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_131, type, aTP_Lamp_aev: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_132, type, aTP_Lamp_aew: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_133, type, aTP_Lamp_aex: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_134, type, aTP_Lamp_aey: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_135, type, aTP_Lamp_aez: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_136, type, aTP_Lamp_af: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_137, type, aTP_Lamp_afa: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_138, type, aTP_Lamp_afb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_139, type, aTP_Lamp_afc: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.10  tff(func_def_140, type, aTP_Lamp_afd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_141, type, aTP_Lamp_afe: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.10  tff(func_def_142, type, aTP_Lamp_aff: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_143, type, aTP_Lamp_afg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_144, type, aTP_Lamp_afh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_145, type, aTP_Lamp_afi: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_146, type, aTP_Lamp_afj: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.10  tff(func_def_147, type, aTP_Lamp_afk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_148, type, aTP_Lamp_afl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_149, type, aTP_Lamp_afm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_150, type, aTP_Lamp_afn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_151, type, aTP_Lamp_afo: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_152, type, aTP_Lamp_afp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_153, type, aTP_Lamp_afq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_154, type, aTP_Lamp_afr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_155, type, aTP_Lamp_afs: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.10  tff(func_def_156, type, aTP_Lamp_aft: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.10  tff(func_def_157, type, aTP_Lamp_afu: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.10  tff(func_def_158, type, aTP_Lamp_afv: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.10  tff(func_def_159, type, aTP_Lamp_afw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_160, type, aTP_Lamp_afx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_161, type, aTP_Lamp_afy: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_162, type, aTP_Lamp_afz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_163, type, aTP_Lamp_ag: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.10  tff(func_def_164, type, aTP_Lamp_aga: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_165, type, aTP_Lamp_agb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_166, type, aTP_Lamp_agc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_167, type, aTP_Lamp_agd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_168, type, aTP_Lamp_age: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_169, type, aTP_Lamp_agf: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.10  tff(func_def_170, type, aTP_Lamp_agg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_171, type, aTP_Lamp_agh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_172, type, aTP_Lamp_agi: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_173, type, aTP_Lamp_agj: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.10  tff(func_def_174, type, aTP_Lamp_agk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_175, type, aTP_Lamp_agl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_176, type, aTP_Lamp_agm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_177, type, aTP_Lamp_agn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_178, type, aTP_Lamp_ago: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_179, type, aTP_Lamp_agp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_180, type, aTP_Lamp_agq: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.10  tff(func_def_181, type, aTP_Lamp_agr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_182, type, aTP_Lamp_ags: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_183, type, aTP_Lamp_agt: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_184, type, aTP_Lamp_agu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_185, type, aTP_Lamp_agv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_186, type, aTP_Lamp_agw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_187, type, aTP_Lamp_agx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_188, type, aTP_Lamp_agy: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_189, type, aTP_Lamp_agz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_190, type, aTP_Lamp_ah: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_191, type, aTP_Lamp_aha: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_192, type, aTP_Lamp_ahb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_193, type, aTP_Lamp_ahc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_194, type, aTP_Lamp_ahd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_195, type, aTP_Lamp_ahe: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_196, type, aTP_Lamp_ahf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_197, type, aTP_Lamp_ahg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_198, type, aTP_Lamp_ahh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_199, type, aTP_Lamp_ahi: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.10  tff(func_def_200, type, aTP_Lamp_ahj: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.10  tff(func_def_201, type, aTP_Lamp_ahk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_202, type, aTP_Lamp_ahl: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.10  tff(func_def_203, type, aTP_Lamp_ahm: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.10  tff(func_def_204, type, aTP_Lamp_ahn: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.10  tff(func_def_205, type, aTP_Lamp_aho: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.10  tff(func_def_206, type, aTP_Lamp_ahp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_207, type, aTP_Lamp_ahq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_208, type, aTP_Lamp_ahr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_209, type, aTP_Lamp_ai: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_210, type, aTP_Lamp_aj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_211, type, aTP_Lamp_ak: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_212, type, aTP_Lamp_al: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.10  tff(func_def_213, type, aTP_Lamp_am: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.10  tff(func_def_214, type, aTP_Lamp_an: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_215, type, aTP_Lamp_ao: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_216, type, aTP_Lamp_ap: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_217, type, aTP_Lamp_aq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_218, type, aTP_Lamp_ar: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_219, type, aTP_Lamp_as: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_220, type, aTP_Lamp_at: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_221, type, aTP_Lamp_au: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_222, type, aTP_Lamp_av: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_223, type, aTP_Lamp_aw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_224, type, aTP_Lamp_ax: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_225, type, aTP_Lamp_ay: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_226, type, aTP_Lamp_az: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_227, type, aTP_Lamp_ba: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_228, type, aTP_Lamp_bb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_229, type, aTP_Lamp_bc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_230, type, aTP_Lamp_bd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_231, type, aTP_Lamp_be: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.10  tff(func_def_232, type, aTP_Lamp_bf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_233, type, aTP_Lamp_bg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_234, type, aTP_Lamp_bh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_235, type, aTP_Lamp_bi: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_236, type, aTP_Lamp_bj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_237, type, aTP_Lamp_bk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_238, type, aTP_Lamp_bl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_239, type, aTP_Lamp_bm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_240, type, aTP_Lamp_bn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_241, type, aTP_Lamp_bo: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_242, type, aTP_Lamp_bp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_243, type, aTP_Lamp_bq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_244, type, aTP_Lamp_br: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_245, type, aTP_Lamp_bs: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_246, type, aTP_Lamp_bt: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_247, type, aTP_Lamp_bu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_248, type, aTP_Lamp_bv: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.10  tff(func_def_249, type, aTP_Lamp_bw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_250, type, aTP_Lamp_bx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_251, type, aTP_Lamp_by: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_252, type, aTP_Lamp_bz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_253, type, aTP_Lamp_ca: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_254, type, aTP_Lamp_cb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_255, type, aTP_Lamp_cc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_256, type, aTP_Lamp_cd: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.10  tff(func_def_257, type, aTP_Lamp_ce: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_258, type, aTP_Lamp_cf: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.10  tff(func_def_259, type, aTP_Lamp_cg: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.10  tff(func_def_260, type, aTP_Lamp_ch: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_261, type, aTP_Lamp_ci: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_262, type, aTP_Lamp_cj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_263, type, aTP_Lamp_ck: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_264, type, aTP_Lamp_cl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_265, type, aTP_Lamp_cm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_266, type, aTP_Lamp_cn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_267, type, aTP_Lamp_co: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.10  tff(func_def_268, type, aTP_Lamp_cp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_269, type, aTP_Lamp_cq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_270, type, aTP_Lamp_cr: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.10  tff(func_def_271, type, aTP_Lamp_cs: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.10  tff(func_def_272, type, aTP_Lamp_ct: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_273, type, aTP_Lamp_cu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_274, type, aTP_Lamp_cv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_275, type, aTP_Lamp_cw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_276, type, aTP_Lamp_cx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_277, type, aTP_Lamp_cy: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_278, type, aTP_Lamp_cz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_279, type, aTP_Lamp_da: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_280, type, aTP_Lamp_db: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_281, type, aTP_Lamp_dc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_282, type, aTP_Lamp_dd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_283, type, aTP_Lamp_de: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_284, type, aTP_Lamp_df: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_285, type, aTP_Lamp_dg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_286, type, aTP_Lamp_dh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_287, type, aTP_Lamp_di: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_288, type, aTP_Lamp_dj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_289, type, aTP_Lamp_dk: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.10  tff(func_def_290, type, aTP_Lamp_dl: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.10  tff(func_def_291, type, aTP_Lamp_dm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_292, type, aTP_Lamp_dn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_293, type, aTP_Lamp_do: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_294, type, aTP_Lamp_dp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_295, type, aTP_Lamp_dq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_296, type, aTP_Lamp_dr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_297, type, aTP_Lamp_ds: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_298, type, aTP_Lamp_dt: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_299, type, aTP_Lamp_du: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_300, type, aTP_Lamp_dv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_301, type, aTP_Lamp_dw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_302, type, aTP_Lamp_dx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_303, type, aTP_Lamp_dy: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_304, type, aTP_Lamp_dz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_305, type, aTP_Lamp_ea: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_306, type, aTP_Lamp_eb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_307, type, aTP_Lamp_ec: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_308, type, aTP_Lamp_ed: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_309, type, aTP_Lamp_ee: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_310, type, aTP_Lamp_ef: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_311, type, aTP_Lamp_eg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_312, type, aTP_Lamp_eh: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.10  tff(func_def_313, type, aTP_Lamp_ei: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_314, type, aTP_Lamp_ej: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_315, type, aTP_Lamp_ek: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_316, type, aTP_Lamp_el: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_317, type, aTP_Lamp_em: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_318, type, aTP_Lamp_en: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_319, type, aTP_Lamp_eo: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_320, type, aTP_Lamp_ep: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_321, type, aTP_Lamp_eq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_322, type, aTP_Lamp_er: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_323, type, aTP_Lamp_es: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_324, type, aTP_Lamp_et: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_325, type, aTP_Lamp_eu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_326, type, aTP_Lamp_ev: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.10  tff(func_def_327, type, aTP_Lamp_ew: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_328, type, aTP_Lamp_ex: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_329, type, aTP_Lamp_ey: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_330, type, aTP_Lamp_ez: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_331, type, aTP_Lamp_fa: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_332, type, aTP_Lamp_fb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_333, type, aTP_Lamp_fc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_334, type, aTP_Lamp_fd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_335, type, aTP_Lamp_fe: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_336, type, aTP_Lamp_ff: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_337, type, aTP_Lamp_fg: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.10  tff(func_def_338, type, aTP_Lamp_fh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_339, type, aTP_Lamp_fi: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_340, type, aTP_Lamp_fj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_341, type, aTP_Lamp_fk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_342, type, aTP_Lamp_fl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_343, type, aTP_Lamp_fm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_344, type, aTP_Lamp_fn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_345, type, aTP_Lamp_fo: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.10  tff(func_def_346, type, aTP_Lamp_fp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_347, type, aTP_Lamp_fq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_348, type, aTP_Lamp_fr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_349, type, aTP_Lamp_fs: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_350, type, aTP_Lamp_ft: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_351, type, aTP_Lamp_fu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_352, type, aTP_Lamp_fv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_353, type, aTP_Lamp_fw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_354, type, aTP_Lamp_fx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_355, type, aTP_Lamp_fy: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_356, type, aTP_Lamp_fz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_357, type, aTP_Lamp_ga: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_358, type, aTP_Lamp_gb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_359, type, aTP_Lamp_gc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_360, type, aTP_Lamp_gd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_361, type, aTP_Lamp_ge: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_362, type, aTP_Lamp_gf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_363, type, aTP_Lamp_gg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_364, type, aTP_Lamp_gh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_365, type, aTP_Lamp_gi: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_366, type, aTP_Lamp_gj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_367, type, aTP_Lamp_gk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_368, type, aTP_Lamp_gl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_369, type, aTP_Lamp_gm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_370, type, aTP_Lamp_gn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_371, type, aTP_Lamp_go: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_372, type, aTP_Lamp_gp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_373, type, aTP_Lamp_gq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_374, type, aTP_Lamp_gr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_375, type, aTP_Lamp_gs: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_376, type, aTP_Lamp_gt: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_377, type, aTP_Lamp_gu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_378, type, aTP_Lamp_gv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_379, type, aTP_Lamp_gw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_380, type, aTP_Lamp_gx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_381, type, aTP_Lamp_gy: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_382, type, aTP_Lamp_gz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_383, type, aTP_Lamp_ha: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_384, type, aTP_Lamp_hb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_385, type, aTP_Lamp_hc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_386, type, aTP_Lamp_hd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_387, type, aTP_Lamp_he: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_388, type, aTP_Lamp_hf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_389, type, aTP_Lamp_hg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_390, type, aTP_Lamp_hh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_391, type, aTP_Lamp_hi: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_392, type, aTP_Lamp_hj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_393, type, aTP_Lamp_hk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_394, type, aTP_Lamp_hl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_395, type, aTP_Lamp_hm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_396, type, aTP_Lamp_hn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_397, type, aTP_Lamp_ho: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_398, type, aTP_Lamp_hp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_399, type, aTP_Lamp_hq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_400, type, aTP_Lamp_hr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_401, type, aTP_Lamp_hs: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_402, type, aTP_Lamp_ht: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_403, type, aTP_Lamp_hu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_404, type, aTP_Lamp_hv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_405, type, aTP_Lamp_hw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_406, type, aTP_Lamp_hx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_407, type, aTP_Lamp_hy: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_408, type, aTP_Lamp_hz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_409, type, aTP_Lamp_ia: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_410, type, aTP_Lamp_ib: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_411, type, aTP_Lamp_ic: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_412, type, aTP_Lamp_id: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_413, type, aTP_Lamp_ie: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_414, type, aTP_Lamp_if: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_415, type, aTP_Lamp_ig: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_416, type, aTP_Lamp_ih: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_417, type, aTP_Lamp_ii: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_418, type, aTP_Lamp_ij: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_419, type, aTP_Lamp_ik: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_420, type, aTP_Lamp_il: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_421, type, aTP_Lamp_im: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_422, type, aTP_Lamp_in: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_423, type, aTP_Lamp_io: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_424, type, aTP_Lamp_ip: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_425, type, aTP_Lamp_iq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_426, type, aTP_Lamp_ir: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_427, type, aTP_Lamp_is: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_428, type, aTP_Lamp_it: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_429, type, aTP_Lamp_iu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_430, type, aTP_Lamp_iv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_431, type, aTP_Lamp_iw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_432, type, aTP_Lamp_ix: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_433, type, aTP_Lamp_iy: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_434, type, aTP_Lamp_iz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_435, type, aTP_Lamp_ja: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_436, type, aTP_Lamp_jb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_437, type, aTP_Lamp_jc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_438, type, aTP_Lamp_jd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_439, type, aTP_Lamp_je: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.10  tff(func_def_440, type, aTP_Lamp_jf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_441, type, aTP_Lamp_jg: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.10  tff(func_def_442, type, aTP_Lamp_jh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_443, type, aTP_Lamp_ji: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_444, type, aTP_Lamp_jj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_445, type, aTP_Lamp_jk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_446, type, aTP_Lamp_jl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_447, type, aTP_Lamp_jm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_448, type, aTP_Lamp_jn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_449, type, aTP_Lamp_jo: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_450, type, aTP_Lamp_jp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_451, type, aTP_Lamp_jq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_452, type, aTP_Lamp_jr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_453, type, aTP_Lamp_js: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_454, type, aTP_Lamp_jt: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_455, type, aTP_Lamp_ju: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_456, type, aTP_Lamp_jv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_457, type, aTP_Lamp_jw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_458, type, aTP_Lamp_jx: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.10  tff(func_def_459, type, aTP_Lamp_jy: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_460, type, aTP_Lamp_jz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_461, type, aTP_Lamp_ka: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_462, type, aTP_Lamp_kb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_463, type, aTP_Lamp_kc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_464, type, aTP_Lamp_kd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_465, type, aTP_Lamp_ke: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_466, type, aTP_Lamp_kf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_467, type, aTP_Lamp_kg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_468, type, aTP_Lamp_kh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_469, type, aTP_Lamp_ki: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_470, type, aTP_Lamp_kj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.10  tff(func_def_471, type, aTP_Lamp_kk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_472, type, aTP_Lamp_kl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_473, type, aTP_Lamp_km: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_474, type, aTP_Lamp_kn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_475, type, aTP_Lamp_ko: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_476, type, aTP_Lamp_kp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_477, type, aTP_Lamp_kq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_478, type, aTP_Lamp_kr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_479, type, aTP_Lamp_ks: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_480, type, aTP_Lamp_kt: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_481, type, aTP_Lamp_ku: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_482, type, aTP_Lamp_kv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_483, type, aTP_Lamp_kw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_484, type, aTP_Lamp_kx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_485, type, aTP_Lamp_ky: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.11  tff(func_def_486, type, aTP_Lamp_kz: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.11  tff(func_def_487, type, aTP_Lamp_la: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.11  tff(func_def_488, type, aTP_Lamp_lb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_489, type, aTP_Lamp_lc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_490, type, aTP_Lamp_ld: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_491, type, aTP_Lamp_le: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_492, type, aTP_Lamp_lf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_493, type, aTP_Lamp_lg: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.11  tff(func_def_494, type, aTP_Lamp_lh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_495, type, aTP_Lamp_li: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_496, type, aTP_Lamp_lj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_497, type, aTP_Lamp_lk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_498, type, aTP_Lamp_ll: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_499, type, aTP_Lamp_lm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_500, type, aTP_Lamp_ln: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.11  tff(func_def_501, type, aTP_Lamp_lo: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_502, type, aTP_Lamp_lp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_503, type, aTP_Lamp_lq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_504, type, aTP_Lamp_lr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_505, type, aTP_Lamp_ls: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_506, type, aTP_Lamp_lt: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_507, type, aTP_Lamp_lu: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.11  tff(func_def_508, type, aTP_Lamp_lv: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.11  tff(func_def_509, type, aTP_Lamp_lw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_510, type, aTP_Lamp_lx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_511, type, aTP_Lamp_ly: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.11  tff(func_def_512, type, aTP_Lamp_lz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_513, type, aTP_Lamp_ma: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_514, type, aTP_Lamp_mb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_515, type, aTP_Lamp_mc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_516, type, aTP_Lamp_md: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_517, type, aTP_Lamp_me: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_518, type, aTP_Lamp_mf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_519, type, aTP_Lamp_mg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_520, type, aTP_Lamp_mh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_521, type, aTP_Lamp_mi: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_522, type, aTP_Lamp_mj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_523, type, aTP_Lamp_mk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_524, type, aTP_Lamp_ml: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_525, type, aTP_Lamp_mm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_526, type, aTP_Lamp_mn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_527, type, aTP_Lamp_mo: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_528, type, aTP_Lamp_mp: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.11  tff(func_def_529, type, aTP_Lamp_mq: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.11  tff(func_def_530, type, aTP_Lamp_mr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_531, type, aTP_Lamp_ms: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.11  tff(func_def_532, type, aTP_Lamp_mt: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.11  tff(func_def_533, type, aTP_Lamp_mu: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.11  tff(func_def_534, type, aTP_Lamp_mv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_535, type, aTP_Lamp_mw: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.11  tff(func_def_536, type, aTP_Lamp_mx: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.11  tff(func_def_537, type, aTP_Lamp_my: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.11  tff(func_def_538, type, aTP_Lamp_mz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_539, type, aTP_Lamp_na: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.11  tff(func_def_540, type, aTP_Lamp_nb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_541, type, aTP_Lamp_nc: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.11  tff(func_def_542, type, aTP_Lamp_nd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_543, type, aTP_Lamp_ne: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.11  tff(func_def_544, type, aTP_Lamp_nf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_545, type, aTP_Lamp_ng: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.11  tff(func_def_546, type, aTP_Lamp_nh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_547, type, aTP_Lamp_ni: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_548, type, aTP_Lamp_nj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_549, type, aTP_Lamp_nk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_550, type, aTP_Lamp_nl: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.11  tff(func_def_551, type, aTP_Lamp_nm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_552, type, aTP_Lamp_nn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_553, type, aTP_Lamp_no: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.11  tff(func_def_554, type, aTP_Lamp_np: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_555, type, aTP_Lamp_nq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_556, type, aTP_Lamp_nr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_557, type, aTP_Lamp_ns: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_558, type, aTP_Lamp_nt: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_559, type, aTP_Lamp_nu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_560, type, aTP_Lamp_nv: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.11  tff(func_def_561, type, aTP_Lamp_nw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_562, type, aTP_Lamp_nx: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.11  tff(func_def_563, type, aTP_Lamp_ny: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_564, type, aTP_Lamp_nz: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.11  tff(func_def_565, type, aTP_Lamp_oa: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_566, type, aTP_Lamp_ob: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_567, type, aTP_Lamp_oc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_568, type, aTP_Lamp_od: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.11  tff(func_def_569, type, aTP_Lamp_oe: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_570, type, aTP_Lamp_of: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_571, type, aTP_Lamp_og: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_572, type, aTP_Lamp_oh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_573, type, aTP_Lamp_oi: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.11  tff(func_def_574, type, aTP_Lamp_oj: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.11  tff(func_def_575, type, aTP_Lamp_ok: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.11  tff(func_def_576, type, aTP_Lamp_ol: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_577, type, aTP_Lamp_om: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.11  tff(func_def_578, type, aTP_Lamp_on: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.11  tff(func_def_579, type, aTP_Lamp_oo: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_580, type, aTP_Lamp_op: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_581, type, aTP_Lamp_oq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_582, type, aTP_Lamp_or: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_583, type, aTP_Lamp_os: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_584, type, aTP_Lamp_ot: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_585, type, aTP_Lamp_ou: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_586, type, aTP_Lamp_ov: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_587, type, aTP_Lamp_ow: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_588, type, aTP_Lamp_ox: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_589, type, aTP_Lamp_oy: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_590, type, aTP_Lamp_oz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_591, type, aTP_Lamp_pa: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_592, type, aTP_Lamp_pb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_593, type, aTP_Lamp_pc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_594, type, aTP_Lamp_pd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_595, type, aTP_Lamp_pe: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_596, type, aTP_Lamp_pf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_597, type, aTP_Lamp_pg: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.11  tff(func_def_598, type, aTP_Lamp_ph: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_599, type, aTP_Lamp_pi: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_600, type, aTP_Lamp_pj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_601, type, aTP_Lamp_pk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_602, type, aTP_Lamp_pl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_603, type, aTP_Lamp_pm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_604, type, aTP_Lamp_pn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_605, type, aTP_Lamp_po: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_606, type, aTP_Lamp_pp: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.11  tff(func_def_607, type, aTP_Lamp_pq: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.11  tff(func_def_608, type, aTP_Lamp_pr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_609, type, aTP_Lamp_ps: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_610, type, aTP_Lamp_pt: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.11  tff(func_def_611, type, aTP_Lamp_pu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_612, type, aTP_Lamp_pv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_613, type, aTP_Lamp_pw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_614, type, aTP_Lamp_px: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.11  tff(func_def_615, type, aTP_Lamp_py: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_616, type, aTP_Lamp_pz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_617, type, aTP_Lamp_qa: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_618, type, aTP_Lamp_qb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_619, type, aTP_Lamp_qc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_620, type, aTP_Lamp_qd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_621, type, aTP_Lamp_qe: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_622, type, aTP_Lamp_qf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_623, type, aTP_Lamp_qg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_624, type, aTP_Lamp_qh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_625, type, aTP_Lamp_qi: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_626, type, aTP_Lamp_qj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_627, type, aTP_Lamp_qk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_628, type, aTP_Lamp_ql: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_629, type, aTP_Lamp_qm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_630, type, aTP_Lamp_qn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_631, type, aTP_Lamp_qo: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_632, type, aTP_Lamp_qp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_633, type, aTP_Lamp_qq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_634, type, aTP_Lamp_qr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_635, type, aTP_Lamp_qs: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_636, type, aTP_Lamp_qt: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_637, type, aTP_Lamp_qu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_638, type, aTP_Lamp_qv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_639, type, aTP_Lamp_qw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_640, type, aTP_Lamp_qx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_641, type, aTP_Lamp_qy: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.11  tff(func_def_642, type, aTP_Lamp_qz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_643, type, aTP_Lamp_ra: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_644, type, aTP_Lamp_rb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_645, type, aTP_Lamp_rc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_646, type, aTP_Lamp_rd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_647, type, aTP_Lamp_re: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_648, type, aTP_Lamp_rf: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.11  tff(func_def_649, type, aTP_Lamp_rg: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.11  tff(func_def_650, type, aTP_Lamp_rh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_651, type, aTP_Lamp_ri: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_652, type, aTP_Lamp_rj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_653, type, aTP_Lamp_rk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_654, type, aTP_Lamp_rl: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.11  tff(func_def_655, type, aTP_Lamp_rm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_656, type, aTP_Lamp_rn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_657, type, aTP_Lamp_ro: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_658, type, aTP_Lamp_rp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_659, type, aTP_Lamp_rq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_660, type, aTP_Lamp_rr: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.11  tff(func_def_661, type, aTP_Lamp_rs: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.11  tff(func_def_662, type, aTP_Lamp_rt: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_663, type, aTP_Lamp_ru: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_664, type, aTP_Lamp_rv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_665, type, aTP_Lamp_rw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_666, type, aTP_Lamp_rx: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.11  tff(func_def_667, type, aTP_Lamp_ry: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_668, type, aTP_Lamp_rz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_669, type, aTP_Lamp_sa: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_670, type, aTP_Lamp_sb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_671, type, aTP_Lamp_sc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_672, type, aTP_Lamp_sd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_673, type, aTP_Lamp_se: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_674, type, aTP_Lamp_sf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_675, type, aTP_Lamp_sg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_676, type, aTP_Lamp_sh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_677, type, aTP_Lamp_si: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_678, type, aTP_Lamp_sj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_679, type, aTP_Lamp_sk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_680, type, aTP_Lamp_sl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_681, type, aTP_Lamp_sm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_682, type, aTP_Lamp_sn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_683, type, aTP_Lamp_so: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_684, type, aTP_Lamp_sp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_685, type, aTP_Lamp_sq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_686, type, aTP_Lamp_sr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_687, type, aTP_Lamp_ss: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_688, type, aTP_Lamp_st: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_689, type, aTP_Lamp_su: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_690, type, aTP_Lamp_sv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_691, type, aTP_Lamp_sw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_692, type, aTP_Lamp_sx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_693, type, aTP_Lamp_sy: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_694, type, aTP_Lamp_sz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_695, type, aTP_Lamp_ta: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_696, type, aTP_Lamp_tb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_697, type, aTP_Lamp_tc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_698, type, aTP_Lamp_td: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_699, type, aTP_Lamp_te: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_700, type, aTP_Lamp_tf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_701, type, aTP_Lamp_tg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_702, type, aTP_Lamp_th: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_703, type, aTP_Lamp_ti: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_704, type, aTP_Lamp_tj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_705, type, aTP_Lamp_tk: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.11  tff(func_def_706, type, aTP_Lamp_tl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_707, type, aTP_Lamp_tm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_708, type, aTP_Lamp_tn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_709, type, aTP_Lamp_to: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_710, type, aTP_Lamp_tp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_711, type, aTP_Lamp_tq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_712, type, aTP_Lamp_tr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_713, type, aTP_Lamp_ts: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_714, type, aTP_Lamp_tt: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_715, type, aTP_Lamp_tu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_716, type, aTP_Lamp_tv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_717, type, aTP_Lamp_tw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_718, type, aTP_Lamp_tx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_719, type, aTP_Lamp_ty: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_720, type, aTP_Lamp_tz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_721, type, aTP_Lamp_ua: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_722, type, aTP_Lamp_ub: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_723, type, aTP_Lamp_uc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_724, type, aTP_Lamp_ud: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_725, type, aTP_Lamp_ue: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_726, type, aTP_Lamp_uf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_727, type, aTP_Lamp_ug: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_728, type, aTP_Lamp_uh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_729, type, aTP_Lamp_ui: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_730, type, aTP_Lamp_uj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_731, type, aTP_Lamp_uk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_732, type, aTP_Lamp_ul: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_733, type, aTP_Lamp_um: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_734, type, aTP_Lamp_un: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_735, type, aTP_Lamp_uo: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_736, type, aTP_Lamp_up: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_737, type, aTP_Lamp_uq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_738, type, aTP_Lamp_ur: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_739, type, aTP_Lamp_us: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_740, type, aTP_Lamp_ut: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_741, type, aTP_Lamp_uu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_742, type, aTP_Lamp_uv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_743, type, aTP_Lamp_uw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_744, type, aTP_Lamp_ux: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_745, type, aTP_Lamp_uy: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_746, type, aTP_Lamp_uz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_747, type, aTP_Lamp_va: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_748, type, aTP_Lamp_vb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_749, type, aTP_Lamp_vc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_750, type, aTP_Lamp_vd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_751, type, aTP_Lamp_ve: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_752, type, aTP_Lamp_vf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_753, type, aTP_Lamp_vg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_754, type, aTP_Lamp_vh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_755, type, aTP_Lamp_vi: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_756, type, aTP_Lamp_vj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_757, type, aTP_Lamp_vk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_758, type, aTP_Lamp_vl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_759, type, aTP_Lamp_vm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_760, type, aTP_Lamp_vn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_761, type, aTP_Lamp_vo: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_762, type, aTP_Lamp_vp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_763, type, aTP_Lamp_vq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_764, type, aTP_Lamp_vr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_765, type, aTP_Lamp_vs: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_766, type, aTP_Lamp_vt: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_767, type, aTP_Lamp_vu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_768, type, aTP_Lamp_vv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_769, type, aTP_Lamp_vw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_770, type, aTP_Lamp_vx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_771, type, aTP_Lamp_vy: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_772, type, aTP_Lamp_vz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_773, type, aTP_Lamp_wa: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_774, type, aTP_Lamp_wb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_775, type, aTP_Lamp_wc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_776, type, aTP_Lamp_wd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_777, type, aTP_Lamp_we: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_778, type, aTP_Lamp_wf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_779, type, aTP_Lamp_wg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_780, type, aTP_Lamp_wh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_781, type, aTP_Lamp_wi: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_782, type, aTP_Lamp_wj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_783, type, aTP_Lamp_wk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_784, type, aTP_Lamp_wl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_785, type, aTP_Lamp_wm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_786, type, aTP_Lamp_wn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_787, type, aTP_Lamp_wo: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_788, type, aTP_Lamp_wp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_789, type, aTP_Lamp_wq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_790, type, aTP_Lamp_wr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_791, type, aTP_Lamp_ws: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_792, type, aTP_Lamp_wt: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_793, type, aTP_Lamp_wu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_794, type, aTP_Lamp_wv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_795, type, aTP_Lamp_ww: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_796, type, aTP_Lamp_wx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_797, type, aTP_Lamp_wy: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_798, type, aTP_Lamp_wz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_799, type, aTP_Lamp_xa: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_800, type, aTP_Lamp_xb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_801, type, aTP_Lamp_xc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_802, type, aTP_Lamp_xd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_803, type, aTP_Lamp_xe: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_804, type, aTP_Lamp_xf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_805, type, aTP_Lamp_xg: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.11  tff(func_def_806, type, aTP_Lamp_xh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_807, type, aTP_Lamp_xi: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_808, type, aTP_Lamp_xj: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.11  tff(func_def_809, type, aTP_Lamp_xk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_810, type, aTP_Lamp_xl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_811, type, aTP_Lamp_xm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_812, type, aTP_Lamp_xn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_813, type, aTP_Lamp_xo: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_814, type, aTP_Lamp_xp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_815, type, aTP_Lamp_xq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_816, type, aTP_Lamp_xr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_817, type, aTP_Lamp_xs: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_818, type, aTP_Lamp_xt: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_819, type, aTP_Lamp_xu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_820, type, aTP_Lamp_xv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_821, type, aTP_Lamp_xw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_822, type, aTP_Lamp_xx: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.11  tff(func_def_823, type, aTP_Lamp_xy: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_824, type, aTP_Lamp_xz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_825, type, aTP_Lamp_ya: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_826, type, aTP_Lamp_yb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_827, type, aTP_Lamp_yc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_828, type, aTP_Lamp_yd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_829, type, aTP_Lamp_ye: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.11  tff(func_def_830, type, aTP_Lamp_yf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_831, type, aTP_Lamp_yg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_832, type, aTP_Lamp_yh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_833, type, aTP_Lamp_yi: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.11  tff(func_def_834, type, aTP_Lamp_yj: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.11  tff(func_def_835, type, aTP_Lamp_yk: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 8.26/2.11  tff(func_def_836, type, aTP_Lamp_yl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_837, type, aTP_Lamp_ym: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_838, type, aTP_Lamp_yn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_839, type, aTP_Lamp_yo: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_840, type, aTP_Lamp_yp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_841, type, aTP_Lamp_yq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_842, type, aTP_Lamp_yr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_843, type, aTP_Lamp_ys: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_844, type, aTP_Lamp_yt: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_845, type, aTP_Lamp_yu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_846, type, aTP_Lamp_yv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_847, type, aTP_Lamp_yw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_848, type, aTP_Lamp_yx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_849, type, aTP_Lamp_yy: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_850, type, aTP_Lamp_yz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_851, type, aTP_Lamp_za: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_852, type, aTP_Lamp_zb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_853, type, aTP_Lamp_zc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_854, type, aTP_Lamp_zd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_855, type, aTP_Lamp_ze: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_856, type, aTP_Lamp_zf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_857, type, aTP_Lamp_zg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_858, type, aTP_Lamp_zh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_859, type, aTP_Lamp_zi: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_860, type, aTP_Lamp_zj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_861, type, aTP_Lamp_zk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_862, type, aTP_Lamp_zl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_863, type, aTP_Lamp_zm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_864, type, aTP_Lamp_zn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_865, type, aTP_Lamp_zo: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_866, type, aTP_Lamp_zp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_867, type, aTP_Lamp_zq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_868, type, aTP_Lamp_zr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_869, type, aTP_Lamp_zs: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_870, type, aTP_Lamp_zt: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_871, type, aTP_Lamp_zu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_872, type, aTP_Lamp_zv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_873, type, aTP_Lamp_zw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_874, type, aTP_Lamp_zx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_875, type, aTP_Lamp_zy: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_876, type, aTP_Lamp_zz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 8.26/2.11  tff(func_def_877, type, archimedean_ceiling: !>[X0: $tType]:((X0) > int)).
% 8.26/2.11  tff(func_def_878, type, archim6421214686448440834_floor: !>[X0: $tType]:((X0) > int)).
% 8.26/2.11  tff(func_def_879, type, archimedean_frac: !>[X0: $tType]:((X0) > X0)).
% 8.26/2.11  tff(func_def_880, type, archimedean_round: !>[X0: $tType]:((X0) > int)).
% 8.26/2.11  tff(func_def_881, type, bNF_Greatest_image2: !>[X0: $tType, X1: $tType, X2: $tType]:((set(X0) * fun(X0,X1) * fun(X0,X2)) > set(product_prod(X1,X2)))).
% 8.26/2.11  tff(func_def_882, type, basic_BNF_size_prod: !>[X0: $tType, X1: $tType]:((fun(X0,nat) * fun(X1,nat) * product_prod(X0,X1)) > nat)).
% 8.26/2.11  tff(func_def_883, type, binomial: nat > fun(nat,nat)).
% 8.26/2.11  tff(func_def_884, type, gbinomial: !>[X0: $tType]:((X0) > fun(nat,X0))).
% 8.26/2.11  tff(func_def_885, type, bit_and_int_rel: fun(product_prod(int,int),fun(product_prod(int,int),$o))).
% 8.26/2.11  tff(func_def_886, type, bit_and_not_num: (num * num) > option(num)).
% 8.26/2.11  tff(func_def_887, type, bit_and_not_num_rel: fun(product_prod(num,num),fun(product_prod(num,num),$o))).
% 8.26/2.11  tff(func_def_888, type, bit_concat_bit: (nat * int) > fun(int,int)).
% 8.26/2.11  tff(func_def_889, type, bit_or_not_num_neg: (num * num) > num).
% 8.26/2.11  tff(func_def_890, type, bit_or3848514188828904588eg_rel: fun(product_prod(num,num),fun(product_prod(num,num),$o))).
% 8.26/2.11  tff(func_def_891, type, bit_ri4277139882892585799ns_not: !>[X0: $tType]:(fun(X0,X0))).
% 8.26/2.11  tff(func_def_892, type, bit_ri4674362597316999326ke_bit: !>[X0: $tType]:((nat) > fun(X0,X0))).
% 8.26/2.11  tff(func_def_893, type, bit_se5824344872417868541ns_and: !>[X0: $tType]:(fun(X0,fun(X0,X0)))).
% 8.26/2.11  tff(func_def_894, type, bit_se4197421643247451524op_bit: !>[X0: $tType]:((nat * X0) > X0)).
% 8.26/2.11  tff(func_def_895, type, bit_se8732182000553998342ip_bit: !>[X0: $tType]:((nat * X0) > X0)).
% 8.26/2.11  tff(func_def_896, type, bit_se2239418461657761734s_mask: !>[X0: $tType]:((nat) > X0)).
% 8.26/2.11  tff(func_def_897, type, bit_se1065995026697491101ons_or: !>[X0: $tType]:(fun(X0,fun(X0,X0)))).
% 8.26/2.11  tff(func_def_898, type, bit_se4730199178511100633sh_bit: !>[X0: $tType]:((nat * X0) > X0)).
% 8.26/2.11  tff(func_def_899, type, bit_se5668285175392031749et_bit: !>[X0: $tType]:(fun(nat,fun(X0,X0)))).
% 8.26/2.11  tff(func_def_900, type, bit_se2584673776208193580ke_bit: !>[X0: $tType]:((nat) > fun(X0,X0))).
% 8.26/2.11  tff(func_def_901, type, bit_se2638667681897837118et_bit: !>[X0: $tType]:(fun(nat,fun(X0,X0)))).
% 8.26/2.11  tff(func_def_902, type, bit_se5824344971392196577ns_xor: !>[X0: $tType]:(fun(X0,fun(X0,X0)))).
% 8.26/2.11  tff(func_def_903, type, bit_se5641148757651400278ts_bit: !>[X0: $tType]:((X0) > fun(nat,$o))).
% 8.26/2.11  tff(func_def_904, type, bit_take_bit_num: (nat * num) > option(num)).
% 8.26/2.11  tff(func_def_905, type, bit_un1837492267222099188nd_num: fun(num,fun(num,option(num)))).
% 8.26/2.11  tff(func_def_906, type, bit_un5425074673868309765um_rel: fun(product_prod(num,num),fun(product_prod(num,num),$o))).
% 8.26/2.11  tff(func_def_907, type, bit_un6178654185764691216or_num: fun(num,fun(num,option(num)))).
% 8.26/2.11  tff(func_def_908, type, bit_un3595099601533988841um_rel: fun(product_prod(num,num),fun(product_prod(num,num),$o))).
% 8.26/2.11  tff(func_def_909, type, bit_un7362597486090784418nd_num: fun(num,fun(num,option(num)))).
% 8.26/2.11  tff(func_def_910, type, bit_un4731106466462545111um_rel: fun(product_prod(num,num),fun(product_prod(num,num),$o))).
% 8.26/2.11  tff(func_def_911, type, bit_un2480387367778600638or_num: fun(num,fun(num,option(num)))).
% 8.26/2.11  tff(func_def_912, type, bit_un2901131394128224187um_rel: fun(product_prod(num,num),fun(product_prod(num,num),$o))).
% 8.26/2.11  tff(func_def_913, type, code_bit_cut_integer: code_integer > product_prod(code_integer,$o)).
% 8.26/2.11  tff(func_def_914, type, code_divmod_abs: (code_integer * code_integer) > product_prod(code_integer,code_integer)).
% 8.26/2.11  tff(func_def_915, type, code_divmod_integer: (code_integer * code_integer) > product_prod(code_integer,code_integer)).
% 8.26/2.11  tff(func_def_916, type, code_int_of_integer: code_integer > int).
% 8.26/2.11  tff(func_def_917, type, code_integer_of_int: int > code_integer).
% 8.26/2.11  tff(func_def_918, type, code_integer_of_num: fun(num,code_integer)).
% 8.26/2.11  tff(func_def_919, type, code_nat_of_integer: code_integer > nat).
% 8.26/2.11  tff(func_def_920, type, code_negative: fun(num,code_integer)).
% 8.26/2.11  tff(func_def_921, type, code_num_of_integer: code_integer > num).
% 8.26/2.11  tff(func_def_922, type, code_positive: fun(num,code_integer)).
% 8.26/2.11  tff(func_def_923, type, code_Target_negative: fun(num,int)).
% 8.26/2.11  tff(func_def_924, type, code_Target_positive: fun(num,int)).
% 8.26/2.11  tff(func_def_925, type, complete_Inf_Inf: !>[X0: $tType]:(fun(set(X0),X0))).
% 8.26/2.11  tff(func_def_926, type, complete_Sup_Sup: !>[X0: $tType]:(fun(set(X0),X0))).
% 8.26/2.11  tff(func_def_927, type, arg: complex > real).
% 8.26/2.11  tff(func_def_928, type, cis: real > complex).
% 8.26/2.11  tff(func_def_929, type, cnj: complex > complex).
% 8.26/2.11  tff(func_def_930, type, complex2: (real * real) > complex).
% 8.26/2.11  tff(func_def_931, type, im: complex > real).
% 8.26/2.11  tff(func_def_932, type, re: complex > real).
% 8.26/2.11  tff(func_def_933, type, csqrt: complex > complex).
% 8.26/2.11  tff(func_def_934, type, imaginary_unit: complex).
% 8.26/2.11  tff(func_def_935, type, adjust_div: product_prod(int,int) > int).
% 8.26/2.11  tff(func_def_936, type, adjust_mod: (int * int) > int).
% 8.26/2.11  tff(func_def_937, type, divmod_nat: (nat * nat) > product_prod(nat,nat)).
% 8.26/2.11  tff(func_def_938, type, unique8689654367752047608divmod: !>[X0: $tType]:((num * num) > product_prod(X0,X0))).
% 8.26/2.11  tff(func_def_939, type, unique1321980374590559556d_step: !>[X0: $tType]:((num * product_prod(X0,X0)) > product_prod(X0,X0))).
% 8.26/2.11  tff(func_def_940, type, comm_s3205402744901411588hammer: !>[X0: $tType]:((X0 * nat) > X0)).
% 8.26/2.11  tff(func_def_941, type, semiring_char_0_fact: !>[X0: $tType]:((nat) > X0)).
% 8.26/2.11  tff(func_def_942, type, inverse_inverse: !>[X0: $tType]:(fun(X0,X0))).
% 8.26/2.11  tff(func_def_943, type, at_bot: !>[X0: $tType]:(filter(X0))).
% 8.26/2.11  tff(func_def_944, type, at_top: !>[X0: $tType]:(filter(X0))).
% 8.26/2.11  tff(func_def_945, type, filtercomap: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * filter(X1)) > filter(X0))).
% 8.26/2.11  tff(func_def_946, type, map_filter_on: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1) * filter(X0)) > filter(X1))).
% 8.26/2.11  tff(func_def_947, type, principal: !>[X0: $tType]:((set(X0)) > filter(X0))).
% 8.26/2.11  tff(func_def_948, type, finite_Fpow: !>[X0: $tType]:((set(X0)) > set(set(X0)))).
% 8.26/2.11  tff(func_def_949, type, finite_card: !>[X0: $tType]:(fun(set(X0),nat))).
% 8.26/2.11  tff(func_def_950, type, finite_fold: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X1,X1)) * X1 * set(X0)) > X1)).
% 8.26/2.11  tff(func_def_951, type, comp: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X0,X1)) > fun(fun(X2,X0),fun(X2,X1)))).
% 8.26/2.11  tff(func_def_952, type, fun_upd: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * X0 * X1) > fun(X0,X1))).
% 8.26/2.11  tff(func_def_953, type, map_fun: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((fun(X0,X1) * fun(X2,X3)) > fun(fun(X1,X2),fun(X0,X3)))).
% 8.26/2.11  tff(func_def_954, type, the_inv_into: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1) * X1) > X0)).
% 8.26/2.11  tff(func_def_955, type, gcd_Gcd: !>[X0: $tType]:((set(X0)) > X0)).
% 8.26/2.11  tff(func_def_956, type, bezw: (nat * nat) > product_prod(int,int)).
% 8.26/2.11  tff(func_def_957, type, bezw_rel: fun(product_prod(nat,nat),fun(product_prod(nat,nat),$o))).
% 8.26/2.11  tff(func_def_958, type, gcd_gcd: !>[X0: $tType]:((X0 * X0) > X0)).
% 8.26/2.11  tff(func_def_959, type, gcd_nat_rel: fun(product_prod(nat,nat),fun(product_prod(nat,nat),$o))).
% 8.26/2.11  tff(func_def_960, type, abs_abs: !>[X0: $tType]:(fun(X0,X0))).
% 8.26/2.11  tff(func_def_961, type, minus_minus: !>[X0: $tType]:(fun(X0,fun(X0,X0)))).
% 8.26/2.11  tff(func_def_962, type, one_one: !>[X0: $tType]:(X0)).
% 8.26/2.11  tff(func_def_963, type, plus_plus: !>[X0: $tType]:(fun(X0,fun(X0,X0)))).
% 8.26/2.11  tff(func_def_964, type, sgn_sgn: !>[X0: $tType]:(fun(X0,X0))).
% 8.26/2.11  tff(func_def_965, type, times_times: !>[X0: $tType]:(fun(X0,fun(X0,X0)))).
% 8.26/2.11  tff(func_def_966, type, uminus_uminus: !>[X0: $tType]:(fun(X0,X0))).
% 8.26/2.11  tff(func_def_967, type, zero_zero: !>[X0: $tType]:(X0)).
% 8.26/2.11  tff(func_def_968, type, groups7311177749621191930dd_sum: !>[X0: $tType, X1: $tType]:(fun(fun(X0,X1),fun(set(X0),X1)))).
% 8.26/2.11  tff(func_def_969, type, groups1027152243600224163dd_sum: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * set(X0)) > X1)).
% 8.26/2.11  tff(func_def_970, type, groups7121269368397514597t_prod: !>[X0: $tType, X1: $tType]:(fun(fun(X0,X1),fun(set(X0),X1)))).
% 8.26/2.11  tff(func_def_971, type, groups1962203154675924110t_prod: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * set(X0)) > X1)).
% 8.26/2.11  tff(func_def_972, type, groups4207007520872428315er_sum: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * X1 * list(X0)) > X1)).
% 8.26/2.11  tff(func_def_973, type, groups8242544230860333062m_list: !>[X0: $tType]:((list(X0)) > X0)).
% 8.26/2.11  tff(func_def_974, type, the: !>[X0: $tType]:((fun(X0,$o)) > X0)).
% 8.26/2.11  tff(func_def_975, type, abs_Integ: fun(product_prod(nat,nat),int)).
% 8.26/2.11  tff(func_def_976, type, rep_Integ: fun(int,product_prod(nat,nat))).
% 8.26/2.11  tff(func_def_977, type, int_ge_less_than: int > set(product_prod(int,int))).
% 8.26/2.11  tff(func_def_978, type, int_ge_less_than2: int > set(product_prod(int,int))).
% 8.26/2.11  tff(func_def_979, type, nat2: int > nat).
% 8.26/2.11  tff(func_def_980, type, ring_1_Ints: !>[X0: $tType]:(set(X0))).
% 8.26/2.11  tff(func_def_981, type, ring_1_of_int: !>[X0: $tType]:((int) > X0)).
% 8.26/2.11  tff(func_def_982, type, inf_inf: !>[X0: $tType]:(fun(X0,fun(X0,X0)))).
% 8.26/2.11  tff(func_def_983, type, sup_sup: !>[X0: $tType]:(fun(X0,fun(X0,X0)))).
% 8.26/2.11  tff(func_def_984, type, lattices_Min: !>[X0: $tType]:((fun(X0,fun(X0,$o))) > fun(set(X0),X0))).
% 8.26/2.11  tff(func_def_985, type, lattic643756798349783984er_Max: !>[X0: $tType]:(fun(set(X0),X0))).
% 8.26/2.11  tff(func_def_986, type, lattic7623131987881927897min_on: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * set(X0)) > X0)).
% 8.26/2.11  tff(func_def_987, type, lattic7752659483105999362nf_fin: !>[X0: $tType]:((set(X0)) > X0)).
% 8.26/2.11  tff(func_def_988, type, lattic5882676163264333800up_fin: !>[X0: $tType]:((set(X0)) > X0)).
% 8.26/2.11  tff(func_def_989, type, at_infinity: !>[X0: $tType]:(filter(X0))).
% 8.26/2.11  tff(func_def_990, type, append: !>[X0: $tType]:(fun(list(X0),fun(list(X0),list(X0))))).
% 8.26/2.11  tff(func_def_991, type, concat: !>[X0: $tType]:((list(list(X0))) > list(X0))).
% 8.26/2.11  tff(func_def_992, type, count_list: !>[X0: $tType]:((list(X0)) > fun(X0,nat))).
% 8.26/2.11  tff(func_def_993, type, dropWhile: !>[X0: $tType]:((fun(X0,$o) * list(X0)) > list(X0))).
% 8.26/2.11  tff(func_def_994, type, enumerate: !>[X0: $tType]:((nat * list(X0)) > list(product_prod(nat,X0)))).
% 8.26/2.11  tff(func_def_995, type, extract: !>[X0: $tType]:((fun(X0,$o) * list(X0)) > option(product_prod(list(X0),product_prod(X0,list(X0)))))).
% 8.26/2.11  tff(func_def_996, type, filter2: !>[X0: $tType]:((fun(X0,$o)) > fun(list(X0),list(X0)))).
% 8.26/2.11  tff(func_def_997, type, foldr: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X1,X1)) * list(X0)) > fun(X1,X1))).
% 8.26/2.11  tff(func_def_998, type, lenlex: !>[X0: $tType]:((set(product_prod(X0,X0))) > set(product_prod(list(X0),list(X0))))).
% 8.26/2.11  tff(func_def_999, type, lex: !>[X0: $tType]:((set(product_prod(X0,X0))) > set(product_prod(list(X0),list(X0))))).
% 8.26/2.11  tff(func_def_1000, type, lexn: !>[X0: $tType]:((set(product_prod(X0,X0))) > fun(nat,set(product_prod(list(X0),list(X0)))))).
% 8.26/2.11  tff(func_def_1001, type, lexord: !>[X0: $tType]:((set(product_prod(X0,X0))) > set(product_prod(list(X0),list(X0))))).
% 8.26/2.11  tff(func_def_1002, type, insort_key: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X0,$o))) > fun(fun(X1,X0),fun(X1,fun(list(X1),list(X1)))))).
% 8.26/2.11  tff(func_def_1003, type, sorted8670434370408473282of_set: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X0,$o))) > fun(fun(X1,X0),fun(set(X1),list(X1))))).
% 8.26/2.11  tff(func_def_1004, type, linorder_insort_key: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > fun(X0,fun(list(X0),list(X0))))).
% 8.26/2.11  tff(func_def_1005, type, linord144544945434240204of_set: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > fun(set(X0),list(X0)))).
% 8.26/2.11  tff(func_def_1006, type, linord4507533701916653071of_set: !>[X0: $tType]:(fun(set(X0),list(X0)))).
% 8.26/2.11  tff(func_def_1007, type, cons: !>[X0: $tType]:((X0) > fun(list(X0),list(X0)))).
% 8.26/2.11  tff(func_def_1008, type, nil: !>[X0: $tType]:(list(X0))).
% 8.26/2.11  tff(func_def_1009, type, case_list: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,fun(list(X1),X0))) > fun(list(X1),X0))).
% 8.26/2.11  tff(func_def_1010, type, hd: !>[X0: $tType]:(fun(list(X0),X0))).
% 8.26/2.11  tff(func_def_1011, type, map: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > fun(list(X0),list(X1)))).
% 8.26/2.11  tff(func_def_1012, type, set2: !>[X0: $tType]:(fun(list(X0),set(X0)))).
% 8.26/2.11  tff(func_def_1013, type, size_list: !>[X0: $tType]:((fun(X0,nat)) > fun(list(X0),nat))).
% 8.26/2.11  tff(func_def_1014, type, tl: !>[X0: $tType]:(fun(list(X0),list(X0)))).
% 8.26/2.11  tff(func_def_1015, type, list_update: !>[X0: $tType]:((list(X0) * nat * X0) > list(X0))).
% 8.26/2.11  tff(func_def_1016, type, listrel1: !>[X0: $tType]:((set(product_prod(X0,X0))) > set(product_prod(list(X0),list(X0))))).
% 8.26/2.11  tff(func_def_1017, type, listset: !>[X0: $tType]:((list(set(X0))) > set(list(X0)))).
% 8.26/2.11  tff(func_def_1018, type, map_filter: !>[X0: $tType, X1: $tType]:((fun(X0,option(X1)) * list(X0)) > list(X1))).
% 8.26/2.11  tff(func_def_1019, type, n_lists: !>[X0: $tType]:((nat * list(X0)) > list(list(X0)))).
% 8.26/2.11  tff(func_def_1020, type, nth: !>[X0: $tType]:((list(X0)) > fun(nat,X0))).
% 8.26/2.11  tff(func_def_1021, type, nths: !>[X0: $tType]:((list(X0) * set(nat)) > list(X0))).
% 8.26/2.11  tff(func_def_1022, type, product: !>[X0: $tType, X1: $tType]:((list(X0) * list(X1)) > list(product_prod(X0,X1)))).
% 8.26/2.11  tff(func_def_1023, type, product_lists: !>[X0: $tType]:((list(list(X0))) > list(list(X0)))).
% 8.26/2.11  tff(func_def_1024, type, remdups: !>[X0: $tType]:((list(X0)) > list(X0))).
% 8.26/2.11  tff(func_def_1025, type, remdups_adj: !>[X0: $tType]:((list(X0)) > list(X0))).
% 8.26/2.11  tff(func_def_1026, type, remdups_adj_rel: !>[X0: $tType]:(fun(list(X0),fun(list(X0),$o)))).
% 8.26/2.11  tff(func_def_1027, type, remove1: !>[X0: $tType]:((X0 * list(X0)) > list(X0))).
% 8.26/2.11  tff(func_def_1028, type, removeAll: !>[X0: $tType]:((X0) > fun(list(X0),list(X0)))).
% 8.26/2.11  tff(func_def_1029, type, replicate: !>[X0: $tType]:((nat * X0) > list(X0))).
% 8.26/2.11  tff(func_def_1030, type, rev: !>[X0: $tType]:(fun(list(X0),list(X0)))).
% 8.26/2.11  tff(func_def_1031, type, rotate1: !>[X0: $tType]:((list(X0)) > list(X0))).
% 8.26/2.11  tff(func_def_1032, type, set_Cons: !>[X0: $tType]:((set(X0) * set(list(X0))) > set(list(X0)))).
% 8.26/2.11  tff(func_def_1033, type, shuffles: !>[X0: $tType]:((list(X0) * list(X0)) > set(list(X0)))).
% 8.26/2.11  tff(func_def_1034, type, shuffles_rel: !>[X0: $tType]:(fun(product_prod(list(X0),list(X0)),fun(product_prod(list(X0),list(X0)),$o)))).
% 8.26/2.11  tff(func_def_1035, type, sorted_wrt_rel: !>[X0: $tType]:(fun(product_prod(fun(X0,fun(X0,$o)),list(X0)),fun(product_prod(fun(X0,fun(X0,$o)),list(X0)),$o)))).
% 8.26/2.11  tff(func_def_1036, type, splice: !>[X0: $tType]:((list(X0) * list(X0)) > list(X0))).
% 8.26/2.11  tff(func_def_1037, type, splice_rel: !>[X0: $tType]:(fun(product_prod(list(X0),list(X0)),fun(product_prod(list(X0),list(X0)),$o)))).
% 8.26/2.11  tff(func_def_1038, type, subseqs: !>[X0: $tType]:((list(X0)) > list(list(X0)))).
% 8.26/2.11  tff(func_def_1039, type, takeWhile: !>[X0: $tType]:((fun(X0,$o) * list(X0)) > list(X0))).
% 8.26/2.11  tff(func_def_1040, type, transpose: !>[X0: $tType]:((list(list(X0))) > list(list(X0)))).
% 8.26/2.11  tff(func_def_1041, type, transpose_rel: !>[X0: $tType]:(fun(list(list(X0)),fun(list(list(X0)),$o)))).
% 8.26/2.11  tff(func_def_1042, type, union: !>[X0: $tType]:((list(X0) * list(X0)) > list(X0))).
% 8.26/2.11  tff(func_def_1043, type, upt: (nat * nat) > list(nat)).
% 8.26/2.11  tff(func_def_1044, type, upto: (int * int) > list(int)).
% 8.26/2.11  tff(func_def_1045, type, upto_aux: (int * int * list(int)) > list(int)).
% 8.26/2.11  tff(func_def_1046, type, upto_rel: fun(product_prod(int,int),fun(product_prod(int,int),$o))).
% 8.26/2.11  tff(func_def_1047, type, map_of: !>[X0: $tType, X1: $tType]:((list(product_prod(X0,X1))) > fun(X0,option(X1)))).
% 8.26/2.11  tff(func_def_1048, type, map_upds: !>[X0: $tType, X1: $tType]:((fun(X0,option(X1)) * list(X0) * list(X1)) > fun(X0,option(X1)))).
% 8.26/2.11  tff(func_def_1049, type, ran: !>[X0: $tType, X1: $tType]:((fun(X0,option(X1))) > set(X1))).
% 8.26/2.11  tff(func_def_1050, type, restrict_map: !>[X0: $tType, X1: $tType]:((fun(X0,option(X1)) * set(X0)) > fun(X0,option(X1)))).
% 8.26/2.11  tff(func_def_1051, type, suc: fun(nat,nat)).
% 8.26/2.11  tff(func_def_1052, type, compow: !>[X0: $tType]:(fun(nat,fun(X0,X0)))).
% 8.26/2.11  tff(func_def_1053, type, funpow: !>[X0: $tType]:(fun(nat,fun(fun(X0,X0),fun(X0,X0))))).
% 8.26/2.11  tff(func_def_1054, type, case_nat: !>[X0: $tType]:((X0 * fun(nat,X0) * nat) > X0)).
% 8.26/2.11  tff(func_def_1055, type, pred: nat > nat).
% 8.26/2.11  tff(func_def_1056, type, rec_nat: !>[X0: $tType]:((X0 * fun(nat,fun(X0,X0)) * nat) > X0)).
% 8.26/2.11  tff(func_def_1057, type, rec_set_nat: !>[X0: $tType]:((X0 * fun(nat,fun(X0,X0)) * nat) > fun(X0,$o))).
% 8.26/2.11  tff(func_def_1058, type, semiring_1_Nats: !>[X0: $tType]:(set(X0))).
% 8.26/2.11  tff(func_def_1059, type, semiring_1_of_nat: !>[X0: $tType]:(fun(nat,X0))).
% 8.26/2.11  tff(func_def_1060, type, semiri8178284476397505188at_aux: !>[X0: $tType]:((fun(X0,X0) * nat * X0) > X0)).
% 8.26/2.11  tff(func_def_1061, type, size_size: !>[X0: $tType]:(fun(X0,nat))).
% 8.26/2.11  tff(func_def_1062, type, nat_list_encode: list(nat) > nat).
% 8.26/2.11  tff(func_def_1063, type, nat_list_encode_rel: fun(list(nat),fun(list(nat),$o))).
% 8.26/2.11  tff(func_def_1064, type, nat_prod_decode_aux: (nat * nat) > product_prod(nat,nat)).
% 8.26/2.11  tff(func_def_1065, type, nat_pr5047031295181774490ux_rel: fun(product_prod(nat,nat),fun(product_prod(nat,nat),$o))).
% 8.26/2.11  tff(func_def_1066, type, nat_prod_encode: fun(product_prod(nat,nat),nat)).
% 8.26/2.11  tff(func_def_1067, type, nat_set_decode: nat > set(nat)).
% 8.26/2.11  tff(func_def_1068, type, nat_set_encode: fun(set(nat),nat)).
% 8.26/2.11  tff(func_def_1069, type, nat_triangle: nat > nat).
% 8.26/2.11  tff(func_def_1070, type, root: nat > fun(real,real)).
% 8.26/2.11  tff(func_def_1071, type, sqrt: fun(real,real)).
% 8.26/2.11  tff(func_def_1072, type, bitM: num > num).
% 8.26/2.11  tff(func_def_1073, type, inc: num > num).
% 8.26/2.11  tff(func_def_1074, type, neg_numeral_dbl: !>[X0: $tType]:((X0) > X0)).
% 8.26/2.11  tff(func_def_1075, type, neg_numeral_dbl_dec: !>[X0: $tType]:((X0) > X0)).
% 8.26/2.11  tff(func_def_1076, type, neg_numeral_dbl_inc: !>[X0: $tType]:((X0) > X0)).
% 8.26/2.11  tff(func_def_1077, type, neg_numeral_sub: !>[X0: $tType]:((num * num) > X0)).
% 8.26/2.11  tff(func_def_1078, type, bit0: fun(num,num)).
% 8.26/2.11  tff(func_def_1079, type, bit1: fun(num,num)).
% 8.26/2.11  tff(func_def_1080, type, one2: num).
% 8.26/2.11  tff(func_def_1081, type, case_num: !>[X0: $tType]:((X0 * fun(num,X0) * fun(num,X0) * num) > X0)).
% 8.42/2.11  tff(func_def_1082, type, size_num: num > nat).
% 8.42/2.11  tff(func_def_1083, type, num_of_nat: nat > num).
% 8.42/2.11  tff(func_def_1084, type, numeral_numeral: !>[X0: $tType]:(fun(num,X0))).
% 8.42/2.11  tff(func_def_1085, type, pow: (num * num) > num).
% 8.42/2.11  tff(func_def_1086, type, pred_numeral: num > nat).
% 8.42/2.11  tff(func_def_1087, type, sqr: num > num).
% 8.42/2.11  tff(func_def_1088, type, none: !>[X0: $tType]:(option(X0))).
% 8.42/2.11  tff(func_def_1089, type, some: !>[X0: $tType]:(fun(X0,option(X0)))).
% 8.42/2.11  tff(func_def_1090, type, case_option: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,X0) * option(X1)) > X0)).
% 8.42/2.11  tff(func_def_1091, type, map_option: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > fun(option(X0),option(X1)))).
% 8.42/2.11  tff(func_def_1092, type, size_option: !>[X0: $tType]:((fun(X0,nat) * option(X0)) > nat)).
% 8.42/2.11  tff(func_def_1093, type, the2: !>[X0: $tType]:(fun(option(X0),X0))).
% 8.42/2.11  tff(func_def_1094, type, these: !>[X0: $tType]:((set(option(X0))) > set(X0))).
% 8.42/2.11  tff(func_def_1095, type, order_532582986084564980_cclfp: !>[X0: $tType]:((fun(X0,X0)) > X0)).
% 8.42/2.11  tff(func_def_1096, type, bot_bot: !>[X0: $tType]:(X0)).
% 8.42/2.11  tff(func_def_1097, type, ord_less: !>[X0: $tType]:(fun(X0,fun(X0,$o)))).
% 8.42/2.11  tff(func_def_1098, type, ord_less_eq: !>[X0: $tType]:(fun(X0,fun(X0,$o)))).
% 8.42/2.11  tff(func_def_1099, type, ord_max: !>[X0: $tType]:(fun(X0,fun(X0,X0)))).
% 8.42/2.11  tff(func_def_1100, type, order_Greatest: !>[X0: $tType]:((fun(X0,$o)) > X0)).
% 8.42/2.11  tff(func_def_1101, type, top_top: !>[X0: $tType]:(X0)).
% 8.42/2.11  tff(func_def_1102, type, partial_flat_lub: !>[X0: $tType]:((X0 * set(X0)) > X0)).
% 8.42/2.11  tff(func_def_1103, type, power_power: !>[X0: $tType]:(fun(X0,fun(nat,X0)))).
% 8.42/2.11  tff(func_def_1104, type, product_Pair: !>[X0: $tType, X1: $tType]:(fun(X0,fun(X1,product_prod(X0,X1))))).
% 8.42/2.11  tff(func_def_1105, type, product_apfst: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X0,X1)) > fun(product_prod(X0,X2),product_prod(X1,X2)))).
% 8.42/2.11  tff(func_def_1106, type, product_apsnd: !>[X0: $tType, X1: $tType, X2: $tType]:(fun(fun(X0,X1),fun(product_prod(X2,X0),product_prod(X2,X1))))).
% 8.42/2.11  tff(func_def_1107, type, product_rec_prod: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X0,fun(X1,X2)) * product_prod(X0,X1)) > X2)).
% 8.42/2.11  tff(func_def_1108, type, product_case_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(fun(fun(X0,fun(X1,X2)),fun(product_prod(X0,X1),X2)))).
% 8.42/2.11  tff(func_def_1109, type, product_fst: !>[X0: $tType, X1: $tType]:(fun(product_prod(X0,X1),X0))).
% 8.42/2.11  tff(func_def_1110, type, product_snd: !>[X0: $tType, X1: $tType]:(fun(product_prod(X0,X1),X1))).
% 8.42/2.11  tff(func_def_1111, type, product_product: !>[X0: $tType, X1: $tType]:((set(X0) * set(X1)) > set(product_prod(X0,X1)))).
% 8.42/2.11  tff(func_def_1112, type, fract: (int * int) > rat).
% 8.42/2.11  tff(func_def_1113, type, frct: product_prod(int,int) > rat).
% 8.42/2.11  tff(func_def_1114, type, field_char_0_Rats: !>[X0: $tType]:(set(X0))).
% 8.42/2.11  tff(func_def_1115, type, normalize: product_prod(int,int) > product_prod(int,int)).
% 8.42/2.11  tff(func_def_1116, type, of_int: int > rat).
% 8.42/2.11  tff(func_def_1117, type, quotient_of: rat > product_prod(int,int)).
% 8.42/2.11  tff(func_def_1118, type, real_Vector_Reals: !>[X0: $tType]:(set(X0))).
% 8.42/2.11  tff(func_def_1119, type, real_V557655796197034286t_dist: !>[X0: $tType]:((X0 * X0) > real)).
% 8.42/2.11  tff(func_def_1120, type, real_V7770717601297561774m_norm: !>[X0: $tType]:((X0) > real)).
% 8.42/2.11  tff(func_def_1121, type, real_Vector_of_real: !>[X0: $tType]:((real) > X0)).
% 8.42/2.11  tff(func_def_1122, type, real_V8093663219630862766scaleR: !>[X0: $tType]:((real * X0) > X0)).
% 8.42/2.11  tff(func_def_1123, type, id_on: !>[X0: $tType]:((set(X0)) > set(product_prod(X0,X0)))).
% 8.42/2.11  tff(func_def_1124, type, relcomp: !>[X0: $tType, X1: $tType, X2: $tType]:((set(product_prod(X0,X1)) * set(product_prod(X1,X2))) > set(product_prod(X0,X2)))).
% 8.42/2.11  tff(func_def_1125, type, divide_divide: !>[X0: $tType]:((X0 * X0) > X0)).
% 8.42/2.11  tff(func_def_1126, type, modulo_modulo: !>[X0: $tType]:((X0 * X0) > X0)).
% 8.42/2.11  tff(func_def_1127, type, zero_neq_one_of_bool: !>[X0: $tType]:(fun($o,X0))).
% 8.42/2.11  tff(func_def_1128, type, suminf: !>[X0: $tType]:((fun(nat,X0)) > X0)).
% 8.42/2.11  tff(func_def_1129, type, collect: !>[X0: $tType]:(fun(fun(X0,$o),set(X0)))).
% 8.42/2.11  tff(func_def_1130, type, pow2: !>[X0: $tType]:((set(X0)) > set(set(X0)))).
% 8.42/2.11  tff(func_def_1131, type, filter3: !>[X0: $tType]:((fun(X0,$o) * set(X0)) > set(X0))).
% 8.42/2.11  tff(func_def_1132, type, image: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > fun(set(X0),set(X1)))).
% 8.42/2.11  tff(func_def_1133, type, insert: !>[X0: $tType]:((X0) > fun(set(X0),set(X0)))).
% 8.42/2.11  tff(func_def_1134, type, the_elem: !>[X0: $tType]:((set(X0)) > X0)).
% 8.42/2.11  tff(func_def_1135, type, set_fo6178422350223883121st_nat: !>[X0: $tType]:((fun(nat,fun(X0,X0)) * nat * nat * X0) > X0)).
% 8.42/2.11  tff(func_def_1136, type, set_fo1817059534552279752at_rel: !>[X0: $tType]:(fun(product_prod(fun(nat,fun(X0,X0)),product_prod(nat,product_prod(nat,X0))),fun(product_prod(fun(nat,fun(X0,X0)),product_prod(nat,product_prod(nat,X0))),$o)))).
% 8.42/2.11  tff(func_def_1137, type, set_ord_atLeast: !>[X0: $tType]:((X0) > set(X0))).
% 8.42/2.11  tff(func_def_1138, type, set_or1337092689740270186AtMost: !>[X0: $tType]:((X0 * X0) > set(X0))).
% 8.42/2.11  tff(func_def_1139, type, set_or7035219750837199246ssThan: !>[X0: $tType]:((X0 * X0) > set(X0))).
% 8.42/2.11  tff(func_def_1140, type, set_ord_atMost: !>[X0: $tType]:((X0) > set(X0))).
% 8.42/2.11  tff(func_def_1141, type, set_ord_greaterThan: !>[X0: $tType]:(fun(X0,set(X0)))).
% 8.42/2.11  tff(func_def_1142, type, set_or3652927894154168847AtMost: !>[X0: $tType]:((X0 * X0) > set(X0))).
% 8.42/2.11  tff(func_def_1143, type, set_or5935395276787703475ssThan: !>[X0: $tType]:((X0 * X0) > set(X0))).
% 8.42/2.11  tff(func_def_1144, type, set_ord_lessThan: !>[X0: $tType]:((X0) > set(X0))).
% 8.42/2.11  tff(func_def_1145, type, ascii_of: char > char).
% 8.42/2.11  tff(func_def_1146, type, char2: ($o * $o * $o * $o * $o * $o * $o * $o) > char).
% 8.42/2.11  tff(func_def_1147, type, comm_s6883823935334413003f_char: !>[X0: $tType]:(fun(char,X0))).
% 8.42/2.11  tff(func_def_1148, type, integer_of_char: char > code_integer).
% 8.42/2.11  tff(func_def_1149, type, unique5772411509450598832har_of: !>[X0: $tType]:(fun(X0,char))).
% 8.42/2.11  tff(func_def_1150, type, topolo3827282254853284352ce_Lim: !>[X0: $tType, X1: $tType]:((filter(X0) * fun(X0,X1)) > X1)).
% 8.42/2.11  tff(func_def_1151, type, topolo174197925503356063within: !>[X0: $tType]:((X0 * set(X0)) > filter(X0))).
% 8.42/2.11  tff(func_def_1152, type, topolo7230453075368039082e_nhds: !>[X0: $tType]:((X0) > filter(X0))).
% 8.42/2.11  tff(func_def_1153, type, arccos: fun(real,real)).
% 8.42/2.11  tff(func_def_1154, type, arcosh: !>[X0: $tType]:(fun(X0,X0))).
% 8.42/2.11  tff(func_def_1155, type, arcsin: fun(real,real)).
% 8.42/2.11  tff(func_def_1156, type, arctan: fun(real,real)).
% 8.42/2.11  tff(func_def_1157, type, arsinh: !>[X0: $tType]:(fun(X0,X0))).
% 8.42/2.11  tff(func_def_1158, type, artanh: !>[X0: $tType]:(fun(X0,X0))).
% 8.42/2.11  tff(func_def_1159, type, cos: !>[X0: $tType]:((X0) > X0)).
% 8.42/2.11  tff(func_def_1160, type, cos_coeff: nat > real).
% 8.42/2.11  tff(func_def_1161, type, cosh: !>[X0: $tType]:((X0) > X0)).
% 8.42/2.11  tff(func_def_1162, type, cot: !>[X0: $tType]:(fun(X0,X0))).
% 8.42/2.11  tff(func_def_1163, type, diffs: !>[X0: $tType]:((fun(nat,X0)) > fun(nat,X0))).
% 8.42/2.11  tff(func_def_1164, type, exp: !>[X0: $tType]:((X0) > X0)).
% 8.42/2.11  tff(func_def_1165, type, ln_ln: !>[X0: $tType]:(fun(X0,X0))).
% 8.42/2.11  tff(func_def_1166, type, log: real > fun(real,real)).
% 8.42/2.11  tff(func_def_1167, type, pi: real).
% 8.42/2.11  tff(func_def_1168, type, powr: !>[X0: $tType]:((X0 * X0) > X0)).
% 8.42/2.11  tff(func_def_1169, type, sin: !>[X0: $tType]:((X0) > X0)).
% 8.42/2.11  tff(func_def_1170, type, sin_coeff: nat > real).
% 8.42/2.11  tff(func_def_1171, type, sinh: !>[X0: $tType]:((X0) > X0)).
% 8.42/2.11  tff(func_def_1172, type, tan: !>[X0: $tType]:(fun(X0,X0))).
% 8.42/2.11  tff(func_def_1173, type, tanh: !>[X0: $tType]:(fun(X0,X0))).
% 8.42/2.11  tff(func_def_1174, type, transitive_ntrancl: !>[X0: $tType]:((nat * set(product_prod(X0,X0))) > set(product_prod(X0,X0)))).
% 8.42/2.11  tff(func_def_1175, type, transitive_trancl: !>[X0: $tType]:((set(product_prod(X0,X0))) > set(product_prod(X0,X0)))).
% 8.42/2.11  tff(func_def_1176, type, vEBT_Leaf: ($o * $o) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_1177, type, vEBT_Node: (option(product_prod(nat,nat)) * nat * list(vEBT_VEBT) * vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_1178, type, vEBT_size_VEBT: fun(vEBT_VEBT,nat)).
% 8.42/2.11  tff(func_def_1179, type, vEBT_V8194947554948674370ptions: vEBT_VEBT > fun(nat,$o)).
% 8.42/2.11  tff(func_def_1180, type, vEBT_VEBT_high: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_1181, type, vEBT_VEBT_low: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_1182, type, vEBT_V4351362008482014158ma_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o))).
% 8.42/2.11  tff(func_def_1183, type, vEBT_V5765760719290551771er_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o))).
% 8.42/2.11  tff(func_def_1184, type, vEBT_VEBT_valid_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o))).
% 8.42/2.11  tff(func_def_1185, type, vEBT_set_vebt: vEBT_VEBT > set(nat)).
% 8.42/2.11  tff(func_def_1186, type, vEBT_vebt_buildup: nat > vEBT_VEBT).
% 8.42/2.11  tff(func_def_1187, type, vEBT_v4011308405150292612up_rel: fun(nat,fun(nat,$o))).
% 8.42/2.11  tff(func_def_1188, type, vEBT_vebt_insert: (vEBT_VEBT * nat) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_1189, type, vEBT_vebt_insert_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o))).
% 8.42/2.11  tff(func_def_1190, type, vEBT_VEBT_bit_concat: (nat * nat * nat) > nat).
% 8.42/2.11  tff(func_def_1191, type, vEBT_V6963167321098673237ll_rel: fun(vEBT_VEBT,fun(vEBT_VEBT,$o))).
% 8.42/2.11  tff(func_def_1192, type, vEBT_VEBT_set_vebt: vEBT_VEBT > set(nat)).
% 8.42/2.11  tff(func_def_1193, type, vEBT_vebt_member: vEBT_VEBT > fun(nat,$o)).
% 8.42/2.11  tff(func_def_1194, type, vEBT_vebt_member_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o))).
% 8.42/2.11  tff(func_def_1195, type, vEBT_VEBT_add: fun(option(nat),fun(option(nat),option(nat)))).
% 8.42/2.11  tff(func_def_1196, type, vEBT_VEBT_mul: fun(option(nat),fun(option(nat),option(nat)))).
% 8.42/2.11  tff(func_def_1197, type, vEBT_V2048590022279873568_shift: !>[X0: $tType]:((fun(X0,fun(X0,X0))) > fun(option(X0),fun(option(X0),option(X0))))).
% 8.42/2.11  tff(func_def_1198, type, vEBT_V459564278314245337ft_rel: !>[X0: $tType]:(fun(product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))),fun(product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))),$o)))).
% 8.42/2.11  tff(func_def_1199, type, vEBT_VEBT_power: fun(option(nat),fun(option(nat),option(nat)))).
% 8.42/2.11  tff(func_def_1200, type, vEBT_vebt_maxt: vEBT_VEBT > option(nat)).
% 8.42/2.11  tff(func_def_1201, type, vEBT_vebt_maxt_rel: fun(vEBT_VEBT,fun(vEBT_VEBT,$o))).
% 8.42/2.11  tff(func_def_1202, type, vEBT_vebt_mint: vEBT_VEBT > option(nat)).
% 8.42/2.11  tff(func_def_1203, type, vEBT_vebt_mint_rel: fun(vEBT_VEBT,fun(vEBT_VEBT,$o))).
% 8.42/2.11  tff(func_def_1204, type, vEBT_vebt_pred: (vEBT_VEBT * nat) > option(nat)).
% 8.42/2.11  tff(func_def_1205, type, vEBT_vebt_pred_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o))).
% 8.42/2.11  tff(func_def_1206, type, accp: !>[X0: $tType]:((fun(X0,fun(X0,$o))) > fun(X0,$o))).
% 8.42/2.11  tff(func_def_1207, type, lex_prod: !>[X0: $tType, X1: $tType]:((set(product_prod(X0,X0)) * set(product_prod(X1,X1))) > set(product_prod(product_prod(X0,X1),product_prod(X0,X1))))).
% 8.42/2.11  tff(func_def_1208, type, max_ext: !>[X0: $tType]:((set(product_prod(X0,X0))) > set(product_prod(set(X0),set(X0))))).
% 8.42/2.11  tff(func_def_1209, type, max_extp: !>[X0: $tType]:((fun(X0,fun(X0,$o))) > fun(set(X0),fun(set(X0),$o)))).
% 8.42/2.11  tff(func_def_1210, type, measure: !>[X0: $tType]:((fun(X0,nat)) > set(product_prod(X0,X0)))).
% 8.42/2.11  tff(func_def_1211, type, min_ext: !>[X0: $tType]:((set(product_prod(X0,X0))) > set(product_prod(set(X0),set(X0))))).
% 8.42/2.11  tff(func_def_1212, type, mlex_prod: !>[X0: $tType]:((fun(X0,nat) * set(product_prod(X0,X0))) > set(product_prod(X0,X0)))).
% 8.42/2.11  tff(func_def_1213, type, same_fst: !>[X0: $tType, X1: $tType]:((fun(X0,$o) * fun(X0,set(product_prod(X1,X1)))) > set(product_prod(product_prod(X0,X1),product_prod(X0,X1))))).
% 8.42/2.11  tff(func_def_1214, type, aa: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * X0) > X1)).
% 8.42/2.11  tff(func_def_1215, type, fChoice: !>[X0: $tType]:((fun(X0,$o)) > X0)).
% 8.42/2.11  tff(func_def_1216, type, fNot: fun($o,$o)).
% 8.42/2.11  tff(func_def_1217, type, fequal: !>[X0: $tType]:(fun(X0,fun(X0,$o)))).
% 8.42/2.11  tff(func_def_1218, type, deg: nat).
% 8.42/2.11  tff(func_def_1219, type, m: nat).
% 8.42/2.11  tff(func_def_1220, type, ma: nat).
% 8.42/2.11  tff(func_def_1221, type, maxy: nat).
% 8.42/2.11  tff(func_def_1222, type, mi: nat).
% 8.42/2.11  tff(func_def_1223, type, na: nat).
% 8.42/2.11  tff(func_def_1224, type, pr: nat).
% 8.42/2.11  tff(func_def_1225, type, res: nat).
% 8.42/2.11  tff(func_def_1226, type, summary: vEBT_VEBT).
% 8.42/2.11  tff(func_def_1227, type, treeList: list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_1228, type, xa: nat).
% 8.42/2.11  tff(func_def_1229, type, za: nat).
% 8.42/2.11  tff(func_def_1230, type, pr20: option(nat)).
% 8.42/2.11  tff(func_def_1231, type, l1: nat).
% 8.42/2.11  tff(func_def_1232, type, h2: nat).
% 8.42/2.11  tff(func_def_1233, type, minlow3: option(nat)).
% 8.42/2.11  tff(func_def_1234, type, pr24: option(nat)).
% 8.42/2.11  tff(func_def_1235, type, l5: nat).
% 8.42/2.11  tff(func_def_1236, type, h6: nat).
% 8.42/2.11  tff(func_def_1237, type, minlow7: option(nat)).
% 8.42/2.11  tff(func_def_1238, type, pr28: option(nat)).
% 8.42/2.11  tff(func_def_1239, type, m29: X0).
% 8.42/2.11  tff(func_def_1240, type, w10: X0).
% 8.42/2.11  tff(func_def_1241, type, pos11: nat).
% 8.42/2.11  tff(func_def_1242, type, pos12: nat).
% 8.42/2.11  tff(func_def_1243, type, pos13: nat).
% 8.42/2.11  tff(func_def_1244, type, l14: nat).
% 8.42/2.11  tff(func_def_1245, type, h15: nat).
% 8.42/2.11  tff(func_def_1246, type, minlow16: option(nat)).
% 8.42/2.11  tff(func_def_1247, type, pr217: option(nat)).
% 8.42/2.11  tff(func_def_1248, type, h18: nat).
% 8.42/2.11  tff(func_def_1249, type, pos19: nat).
% 8.42/2.11  tff(func_def_1250, type, pos20: nat).
% 8.42/2.11  tff(func_def_1251, type, l21: nat).
% 8.42/2.11  tff(func_def_1252, type, h22: nat).
% 8.42/2.11  tff(func_def_1253, type, minlow23: option(nat)).
% 8.42/2.11  tff(func_def_1254, type, pr224: option(nat)).
% 8.42/2.11  tff(func_def_1255, type, h25: nat).
% 8.42/2.11  tff(func_def_1256, type, pos26: nat).
% 8.42/2.11  tff(func_def_1257, type, pos27: nat).
% 8.42/2.11  tff(func_def_1258, type, pos28: nat).
% 8.42/2.11  tff(func_def_1259, type, h29: nat).
% 8.42/2.11  tff(func_def_1260, type, h30: nat).
% 8.42/2.11  tff(func_def_1261, type, pos31: nat).
% 8.42/2.11  tff(func_def_1262, type, pos32: nat).
% 8.42/2.11  tff(func_def_1263, type, pos33: nat).
% 8.42/2.11  tff(func_def_1264, type, pos34: nat).
% 8.42/2.11  tff(func_def_1265, type, l35: nat).
% 8.42/2.11  tff(func_def_1266, type, h36: nat).
% 8.42/2.11  tff(func_def_1267, type, minlow37: option(nat)).
% 8.42/2.11  tff(func_def_1268, type, pr238: option(nat)).
% 8.42/2.11  tff(func_def_1269, type, h39: nat).
% 8.42/2.11  tff(func_def_1270, type, h40: nat).
% 8.42/2.11  tff(func_def_1271, type, pos41: nat).
% 8.42/2.11  tff(func_def_1272, type, pos42: nat).
% 8.42/2.11  tff(func_def_1273, type, pos43: nat).
% 8.42/2.11  tff(func_def_1274, type, h44: nat).
% 8.42/2.11  tff(func_def_1275, type, pos45: nat).
% 8.42/2.11  tff(func_def_1276, type, pos46: nat).
% 8.42/2.11  tff(func_def_1277, type, pos47: nat).
% 8.42/2.11  tff(func_def_1278, type, pos48: nat).
% 8.42/2.11  tff(func_def_1279, type, pos49: nat).
% 8.42/2.11  tff(func_def_1280, type, pos50: nat).
% 8.42/2.11  tff(func_def_1281, type, xn51: nat).
% 8.42/2.11  tff(func_def_1282, type, h52: nat).
% 8.42/2.11  tff(func_def_1283, type, xn53: nat).
% 8.42/2.11  tff(func_def_1284, type, h54: nat).
% 8.42/2.11  tff(func_def_1285, type, xn55: nat).
% 8.42/2.11  tff(func_def_1286, type, h56: nat).
% 8.42/2.11  tff(func_def_1287, type, half57: nat).
% 8.42/2.11  tff(func_def_1288, type, half58: nat).
% 8.42/2.11  tff(func_def_1289, type, half59: nat).
% 8.42/2.11  tff(func_def_1290, type, half60: nat).
% 8.42/2.11  tff(func_def_1291, type, half61: nat).
% 8.42/2.11  tff(func_def_1292, type, half62: nat).
% 8.42/2.11  tff(func_def_1293, type, m263: X0).
% 8.42/2.11  tff(func_def_1294, type, w64: X0).
% 8.42/2.11  tff(func_def_1295, type, l65: X0).
% 8.42/2.11  tff(func_def_1296, type, d66: int).
% 8.42/2.11  tff(func_def_1297, type, l67: X0).
% 8.42/2.11  tff(func_def_1298, type, l68: code_integer).
% 8.42/2.11  tff(func_def_1299, type, k69: code_integer).
% 8.42/2.11  tff(func_def_1300, type, k70: code_integer).
% 8.42/2.11  tff(func_def_1301, type, pv71: nat).
% 8.42/2.11  tff(func_def_1302, type, pv72: nat).
% 8.42/2.11  tff(func_def_1303, type, a273: int).
% 8.42/2.11  tff(func_def_1304, type, a274: int).
% 8.42/2.11  tff(func_def_1305, type, n75: nat).
% 8.42/2.11  tff(func_def_1306, type, m276: nat).
% 8.42/2.11  tff(func_def_1307, type, n77: nat).
% 8.42/2.11  tff(func_def_1308, type, m278: nat).
% 8.42/2.11  tff(func_def_1309, type, n79: nat).
% 8.42/2.11  tff(func_def_1310, type, m280: nat).
% 8.42/2.11  tff(func_def_1311, type, n81: nat).
% 8.42/2.11  tff(func_def_1312, type, m282: nat).
% 8.42/2.11  tff(func_def_1313, type, n83: nat).
% 8.42/2.11  tff(func_def_1314, type, m284: nat).
% 8.42/2.11  tff(func_def_1315, type, n85: nat).
% 8.42/2.11  tff(func_def_1316, type, m286: nat).
% 8.42/2.11  tff(func_def_1317, type, n87: nat).
% 8.42/2.11  tff(func_def_1318, type, m288: nat).
% 8.42/2.11  tff(func_def_1319, type, a389: set(set(X0))).
% 8.42/2.11  tff(func_def_1320, type, xss90: list(list(X0))).
% 8.42/2.11  tff(func_def_1321, type, l291: int).
% 8.42/2.11  tff(func_def_1322, type, m392: a).
% 8.42/2.11  tff(func_def_1323, type, l293: num).
% 8.42/2.11  tff(func_def_1324, type, l394: num).
% 8.42/2.11  tff(func_def_1325, type, l295: nat).
% 8.42/2.11  tff(func_def_1326, type, l396: nat).
% 8.42/2.11  tff(func_def_1329, type, iG97: option(nat)).
% 8.42/2.11  tff(func_def_1330, type, iG98: option(nat)).
% 8.42/2.11  tff(func_def_1331, type, iG99: option(nat)).
% 8.42/2.11  tff(func_def_1332, type, iG100: option(nat)).
% 8.42/2.11  tff(func_def_1333, type, iG101: option(nat)).
% 8.42/2.11  tff(func_def_1334, type, bG102: $o > $o).
% 8.42/2.11  tff(func_def_1335, type, bG103: $o > $o).
% 8.42/2.11  tff(func_def_1336, type, iG104: code_integer > product_prod(code_integer,$o)).
% 8.42/2.11  tff(func_def_1337, type, iG105: code_integer > num).
% 8.42/2.11  tff(func_def_1338, type, bG106: code_integer > $o).
% 8.42/2.11  tff(func_def_1339, type, iG107: nat > real).
% 8.42/2.11  tff(func_def_1340, type, iG108: code_integer > nat).
% 8.42/2.11  tff(func_def_1341, type, iG109: nat > real).
% 8.42/2.11  tff(func_def_1342, type, lG110: product_prod(int,int) > int).
% 8.42/2.11  tff(func_def_1343, type, lG111: product_prod(int,int) > int).
% 8.42/2.11  tff(func_def_1344, type, iG112: product_prod(int,int) > product_prod(int,int)).
% 8.42/2.11  tff(func_def_1345, type, iG113: product_prod(int,int) > product_prod(int,int)).
% 8.42/2.11  tff(func_def_1346, type, iG114: complex > real).
% 8.42/2.11  tff(func_def_1347, type, lG115: int > code_integer).
% 8.42/2.11  tff(func_def_1348, type, iG116: int > code_integer).
% 8.42/2.11  tff(func_def_1349, type, iG117: int > code_integer).
% 8.42/2.11  tff(func_def_1350, type, iG118: int > code_integer).
% 8.42/2.11  tff(func_def_1351, type, iG119: code_integer > int).
% 8.42/2.11  tff(func_def_1352, type, iG120: code_integer > int).
% 8.42/2.11  tff(func_def_1353, type, iG121: complex > real).
% 8.42/2.11  tff(func_def_1354, type, iG122: complex > real).
% 8.42/2.11  tff(func_def_1355, type, iG123: nat > num).
% 8.42/2.11  tff(func_def_1356, type, iG124: rat > rat).
% 8.42/2.11  tff(func_def_1357, type, iG125: rat > rat).
% 8.42/2.11  tff(func_def_1358, type, iG126: code_integer > code_integer).
% 8.42/2.11  tff(func_def_1359, type, iG127: code_integer > code_integer).
% 8.42/2.11  tff(func_def_1360, type, iG128: int > int).
% 8.42/2.11  tff(func_def_1361, type, iG129: int > int).
% 8.42/2.11  tff(func_def_1362, type, bG130: int > $o).
% 8.42/2.11  tff(func_def_1363, type, iG131: real > real).
% 8.42/2.11  tff(func_def_1364, type, iG132: real > real).
% 8.42/2.11  tff(func_def_1365, type, iG133: real > real).
% 8.42/2.11  tff(func_def_1366, type, iG134: int > int).
% 8.42/2.11  tff(func_def_1367, type, iG135: set(nat) > nat).
% 8.42/2.11  tff(func_def_1368, type, bG136: nat > $o).
% 8.42/2.11  tff(func_def_1369, type, bG137: nat > $o).
% 8.42/2.11  tff(func_def_1370, type, lG138: num > code_integer).
% 8.42/2.11  tff(func_def_1371, type, lG139: num > code_integer).
% 8.42/2.11  tff(func_def_1372, type, lG140: nat > nat).
% 8.42/2.11  tff(func_def_1373, type, lG141: nat > nat).
% 8.42/2.11  tff(func_def_1374, type, iG142: nat > vEBT_VEBT).
% 8.42/2.11  tff(func_def_1375, type, iG143: int > real).
% 8.42/2.11  tff(func_def_1376, type, bG144: nat > $o).
% 8.42/2.11  tff(func_def_1377, type, bG145: nat > $o).
% 8.42/2.11  tff(func_def_1378, type, bG146: nat > $o).
% 8.42/2.11  tff(func_def_1379, type, bG147: nat > $o).
% 8.42/2.11  tff(func_def_1380, type, bG148: nat > $o).
% 8.42/2.11  tff(func_def_1381, type, bG149: nat > $o).
% 8.42/2.11  tff(func_def_1382, type, iG150: real > set(real)).
% 8.42/2.11  tff(func_def_1383, type, bG151: $o > $o).
% 8.42/2.11  tff(func_def_1384, type, bG152: $o > $o).
% 8.42/2.11  tff(func_def_1385, type, bG153: $o > $o).
% 8.42/2.11  tff(func_def_1386, type, bG154: $o > $o).
% 8.42/2.11  tff(func_def_1387, type, bG155: $o > $o).
% 8.42/2.11  tff(func_def_1388, type, bG156: $o > $o).
% 8.42/2.11  tff(func_def_1389, type, bG157: $o > $o).
% 8.42/2.11  tff(func_def_1390, type, bG158: $o > $o).
% 8.42/2.11  tff(func_def_1391, type, iG159: !>[X0: $tType]:((X0) > X0)).
% 8.42/2.11  tff(func_def_1392, type, iG160: !>[X0: $tType]:((X0 * X0) > X0)).
% 8.42/2.11  tff(func_def_1393, type, iG161: !>[X0: $tType]:((nat * X0) > X0)).
% 8.42/2.11  tff(func_def_1394, type, lG162: !>[X0: $tType]:((nat * X0) > X0)).
% 8.42/2.11  tff(func_def_1395, type, iG163: !>[X0: $tType]:((nat * X0) > X0)).
% 8.42/2.11  tff(func_def_1396, type, iG164: !>[X0: $tType]:((nat * nat) > fun(X0,X0))).
% 8.42/2.11  tff(func_def_1397, type, iG165: !>[X0: $tType]:((X0) > int)).
% 8.42/2.11  tff(func_def_1398, type, iG166: !>[X0: $tType]:((X0) > int)).
% 8.42/2.11  tff(func_def_1399, type, iG167: !>[X0: $tType]:((X0) > X0)).
% 8.42/2.11  tff(func_def_1400, type, iG168: !>[X0: $tType]:((X0 * X0) > X0)).
% 8.42/2.11  tff(func_def_1401, type, iG169: !>[X0: $tType]:((X0 * X0) > int)).
% 8.42/2.11  tff(func_def_1402, type, iG170: !>[X0: $tType]:((X0 * X0 * X0) > set(X0))).
% 8.42/2.11  tff(func_def_1403, type, iG171: !>[X0: $tType]:((X0 * X0 * X0) > set(X0))).
% 8.42/2.11  tff(func_def_1404, type, iG172: !>[X0: $tType]:((X0 * X0 * X0) > set(X0))).
% 8.42/2.11  tff(func_def_1405, type, iG173: !>[X0: $tType]:((X0 * X0 * X0) > set(X0))).
% 8.42/2.11  tff(func_def_1406, type, iG174: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 8.42/2.11  tff(func_def_1407, type, iG175: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 8.42/2.11  tff(func_def_1408, type, iG176: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 8.42/2.11  tff(func_def_1409, type, iG177: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 8.42/2.11  tff(func_def_1410, type, iG178: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 8.42/2.11  tff(func_def_1411, type, iG179: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 8.42/2.11  tff(func_def_1412, type, iG180: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 8.42/2.11  tff(func_def_1413, type, iG181: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 8.42/2.11  tff(func_def_1414, type, iG182: !>[X0: $tType]:((X0 * num * X0) > $o)).
% 8.42/2.11  tff(func_def_1415, type, iG183: !>[X0: $tType]:((X0 * num * X0) > $o)).
% 8.42/2.11  tff(func_def_1416, type, iG184: !>[X0: $tType]:((X0 * num * X0) > $o)).
% 8.42/2.11  tff(func_def_1417, type, iG185: !>[X0: $tType]:((X0 * num * X0) > $o)).
% 8.42/2.11  tff(func_def_1418, type, iG186: !>[X0: $tType]:((X0 * num * X0) > $o)).
% 8.42/2.11  tff(func_def_1419, type, iG187: !>[X0: $tType]:((X0 * num * X0) > $o)).
% 8.42/2.11  tff(func_def_1420, type, iG188: !>[X0: $tType]:((X0 * num * X0) > $o)).
% 8.42/2.11  tff(func_def_1421, type, iG189: !>[X0: $tType]:((X0 * num * X0) > $o)).
% 8.42/2.11  tff(func_def_1422, type, iG190: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 8.42/2.11  tff(func_def_1423, type, iG191: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 8.42/2.11  tff(func_def_1424, type, iG192: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 8.42/2.11  tff(func_def_1425, type, iG193: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 8.42/2.11  tff(func_def_1426, type, iG194: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 8.42/2.11  tff(func_def_1427, type, iG195: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 8.42/2.11  tff(func_def_1428, type, iG196: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 8.42/2.11  tff(func_def_1429, type, iG197: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 8.42/2.11  tff(func_def_1430, type, iG198: !>[X0: $tType]:((X0 * num * X0) > $o)).
% 8.42/2.11  tff(func_def_1431, type, iG199: !>[X0: $tType]:((X0 * num * X0) > $o)).
% 8.42/2.11  tff(func_def_1432, type, iG200: !>[X0: $tType]:((X0 * num * X0) > $o)).
% 8.42/2.11  tff(func_def_1433, type, iG201: !>[X0: $tType]:((X0 * num * X0) > $o)).
% 8.42/2.11  tff(func_def_1434, type, iG202: !>[X0: $tType]:((X0 * num * X0) > $o)).
% 8.42/2.11  tff(func_def_1435, type, iG203: !>[X0: $tType]:((X0 * num * X0) > $o)).
% 8.42/2.11  tff(func_def_1436, type, iG204: !>[X0: $tType]:((X0 * num * X0) > $o)).
% 8.42/2.11  tff(func_def_1437, type, iG205: !>[X0: $tType]:((X0 * num * X0) > $o)).
% 8.42/2.11  tff(func_def_1438, type, iG206: !>[X0: $tType]:((X0 * X0 * X0 * X0) > set(X0))).
% 8.42/2.11  tff(func_def_1439, type, iG207: !>[X0: $tType]:((X0 * X0 * X0 * X0) > set(X0))).
% 8.42/2.11  tff(func_def_1440, type, iG208: !>[X0: $tType]:((X0 * X0 * X0 * X0) > set(X0))).
% 8.42/2.11  tff(func_def_1441, type, iG209: !>[X0: $tType]:((X0 * X0 * X0 * X0) > set(X0))).
% 8.42/2.11  tff(func_def_1442, type, iG210: !>[X0: $tType]:((X0 * X0 * X0 * X0) > set(X0))).
% 8.42/2.11  tff(func_def_1443, type, iG211: !>[X0: $tType]:((X0 * X0 * X0 * X0) > set(X0))).
% 8.42/2.11  tff(func_def_1444, type, iG212: !>[X0: $tType]:((X0 * X0 * X0 * X0) > set(X0))).
% 8.42/2.11  tff(func_def_1445, type, iG213: !>[X0: $tType]:((X0 * X0 * X0 * X0) > set(X0))).
% 8.42/2.11  tff(func_def_1446, type, iG214: !>[X0: $tType]:((X0) > real)).
% 8.42/2.11  tff(func_def_1447, type, bG215: nat > $o).
% 8.42/2.11  tff(func_def_1448, type, bG216: $o > $o).
% 8.42/2.11  tff(func_def_1449, type, iG217: !>[X0: $tType]:((X0) > X0)).
% 8.42/2.11  tff(func_def_1450, type, bG218: !>[X0: $tType]:((X0) > $o)).
% 8.42/2.11  tff(func_def_1451, type, bG219: $o > $o).
% 8.42/2.11  tff(func_def_1452, type, bG220: nat > $o).
% 8.42/2.11  tff(func_def_1453, type, bG221: !>[X0: $tType]:((nat * nat) > $o)).
% 8.42/2.11  tff(func_def_1454, type, bG222: $o > $o).
% 8.42/2.11  tff(func_def_1455, type, bG223: $o > $o).
% 8.42/2.11  tff(func_def_1456, type, bG224: !>[X0: $tType]:((X0) > $o)).
% 8.42/2.11  tff(func_def_1457, type, iG225: !>[X0: $tType]:((nat * X0) > $o)).
% 8.42/2.11  tff(func_def_1458, type, bG226: $o > $o).
% 8.42/2.11  tff(func_def_1459, type, iG227: !>[X0: $tType]:((X0 * X0 * X0) > X0)).
% 8.42/2.11  tff(func_def_1460, type, iG228: !>[X0: $tType]:((nat * nat * X0) > X0)).
% 8.42/2.11  tff(func_def_1461, type, iG229: !>[X0: $tType]:((num * num) > product_prod(X0,X0))).
% 8.42/2.11  tff(func_def_1462, type, iG230: !>[X0: $tType]:((num * num) > product_prod(X0,X0))).
% 8.42/2.11  tff(func_def_1463, type, iG231: !>[X0: $tType]:((num * num) > product_prod(X0,X0))).
% 8.42/2.11  tff(func_def_1464, type, iG232: !>[X0: $tType]:((X0 * num * X0) > product_prod(X0,X0))).
% 8.42/2.11  tff(func_def_1465, type, iG233: !>[X0: $tType]:((X0 * num * X0) > product_prod(X0,X0))).
% 8.42/2.11  tff(func_def_1466, type, iG234: !>[X0: $tType]:((nat * X0) > X0)).
% 8.42/2.11  tff(func_def_1467, type, iG235: !>[X0: $tType]:((X0 * X0 * X0) > X0)).
% 8.42/2.11  tff(func_def_1468, type, iG236: !>[X0: $tType]:((set(nat) * fun(nat,X0) * fun(nat,X0)) > X0)).
% 8.42/2.11  tff(func_def_1469, type, bG237: !>[X0: $tType]:((X0) > $o)).
% 8.42/2.11  tff(func_def_1470, type, iG238: !>[X0: $tType]:((X0) > X0)).
% 8.42/2.11  tff(func_def_1471, type, iG239: !>[X0: $tType]:((set(nat) * fun(nat,X0)) > X0)).
% 8.42/2.11  tff(func_def_1472, type, iG240: !>[X0: $tType]:((X0 * X0 * X0) > X0)).
% 8.42/2.11  tff(func_def_1473, type, iG241: !>[X0: $tType]:((X0 * X0 * X0) > X0)).
% 8.42/2.11  tff(func_def_1474, type, iG242: !>[X0: $tType]:((X0 * X0 * X0) > X0)).
% 8.42/2.11  tff(func_def_1475, type, iG243: !>[X0: $tType]:((X0 * X0 * X0) > X0)).
% 8.42/2.11  tff(func_def_1476, type, iG244: !>[X0: $tType]:((X0 * X0 * X0) > X0)).
% 8.42/2.11  tff(func_def_1477, type, iG245: !>[X0: $tType]:((X0 * X0 * X0) > X0)).
% 8.42/2.11  tff(func_def_1478, type, bG258: !>[X0: $tType]:((X0) > $o)).
% 8.42/2.11  tff(func_def_1479, type, bG259: nat > $o).
% 8.42/2.11  tff(func_def_1480, type, bG260: !>[X0: $tType]:((X0) > $o)).
% 8.42/2.11  tff(func_def_1481, type, bG261: !>[X0: $tType]:((X0) > $o)).
% 8.42/2.11  tff(func_def_1482, type, bG262: !>[X0: $tType]:((X0) > $o)).
% 8.42/2.11  tff(func_def_1483, type, bG263: !>[X0: $tType]:((X0) > $o)).
% 8.42/2.11  tff(func_def_1484, type, bG264: !>[X0: $tType]:((X0) > $o)).
% 8.42/2.11  tff(func_def_1485, type, bG265: !>[X0: $tType]:((X0) > $o)).
% 8.42/2.11  tff(func_def_1486, type, iG266: !>[X0: $tType]:((nat * X0) > fun(nat,fun(X0,X0)))).
% 8.42/2.11  tff(func_def_1487, type, iG267: !>[X0: $tType]:((nat * X0) > X0)).
% 8.42/2.11  tff(func_def_1488, type, iG268: !>[X0: $tType]:((nat * X0) > X0)).
% 8.42/2.11  tff(func_def_1489, type, bG269: $o > $o).
% 8.42/2.11  tff(func_def_1490, type, bG270: ($o * nat) > $o).
% 8.42/2.11  tff(func_def_1491, type, iG271: !>[X0: $tType]:((X0 * nat) > X0)).
% 8.42/2.11  tff(func_def_1492, type, iG272: !>[X0: $tType]:((nat * nat * X0) > X0)).
% 8.42/2.11  tff(func_def_1493, type, iG273: !>[X0: $tType]:((nat * nat * X0) > X0)).
% 8.42/2.11  tff(func_def_1494, type, iG274: !>[X0: $tType]:((nat * nat * X0) > X0)).
% 8.42/2.11  tff(func_def_1495, type, bG275: !>[X0: $tType]:((X0) > $o)).
% 8.42/2.11  tff(func_def_1496, type, iG276: !>[X0: $tType]:((nat * X0 * X0) > $o)).
% 8.42/2.11  tff(func_def_1497, type, iG277: !>[X0: $tType]:((X0) > X0)).
% 8.42/2.11  tff(func_def_1498, type, iG278: !>[X0: $tType]:((X0) > X0)).
% 8.42/2.11  tff(func_def_1499, type, iG279: !>[X0: $tType]:((X0) > X0)).
% 8.42/2.11  tff(func_def_1500, type, iG280: !>[X0: $tType]:((X0) > X0)).
% 8.42/2.11  tff(func_def_1501, type, iG281: !>[X0: $tType]:((X0) > X0)).
% 8.42/2.11  tff(func_def_1502, type, bG282: !>[X0: $tType]:((X0) > $o)).
% 8.42/2.11  tff(func_def_1503, type, iG283: !>[X0: $tType]:((nat * nat) > X0)).
% 8.42/2.11  tff(func_def_1504, type, iG284: !>[X0: $tType]:((nat * nat) > X0)).
% 8.42/2.11  tff(func_def_1505, type, iG285: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_1506, type, iG286: !>[X0: $tType]:((nat * nat) > X0)).
% 8.42/2.11  tff(func_def_1507, type, iG287: !>[X0: $tType]:((nat * nat * X0) > X0)).
% 8.42/2.11  tff(func_def_1508, type, iG288: !>[X0: $tType]:((nat * nat * fun(nat,X0)) > X0)).
% 8.42/2.11  tff(func_def_1509, type, bG289: $o > $o).
% 8.42/2.11  tff(func_def_1510, type, bG290: $o > $o).
% 8.42/2.11  tff(func_def_1511, type, bG291: $o > $o).
% 8.42/2.11  tff(func_def_1512, type, bG292: $o > $o).
% 8.42/2.11  tff(func_def_1513, type, lG293: !>[X0: $tType]:((int) > X0)).
% 8.42/2.11  tff(func_def_1514, type, iG294: !>[X0: $tType]:((int) > X0)).
% 8.42/2.11  tff(func_def_1515, type, iG295: !>[X0: $tType]:((int) > X0)).
% 8.42/2.11  tff(func_def_1516, type, iG296: !>[X0: $tType]:((int) > X0)).
% 8.42/2.11  tff(func_def_1517, type, iG297: !>[X0: $tType]:((nat) > X0)).
% 8.42/2.11  tff(func_def_1518, type, bG298: $o > $o).
% 8.42/2.11  tff(func_def_1519, type, bG299: $o > $o).
% 8.42/2.11  tff(func_def_1520, type, iG300: !>[X0: $tType]:((nat * X0) > X0)).
% 8.42/2.11  tff(func_def_1521, type, bG301: $o > $o).
% 8.42/2.11  tff(func_def_1522, type, bG302: $o > $o).
% 8.42/2.11  tff(func_def_1523, type, bG303: $o > $o).
% 8.42/2.11  tff(func_def_1524, type, bG304: $o > $o).
% 8.42/2.11  tff(func_def_1525, type, bG305: $o > $o).
% 8.42/2.11  tff(func_def_1526, type, iG306: !>[X0: $tType]:(($o) > X0)).
% 8.42/2.11  tff(func_def_1527, type, bG307: $o > $o).
% 8.42/2.11  tff(func_def_1528, type, bG308: $o > $o).
% 8.42/2.11  tff(func_def_1529, type, bG309: $o > $o).
% 8.42/2.11  tff(func_def_1530, type, iG310: !>[X0: $tType]:((nat * X0) > X0)).
% 8.42/2.11  tff(func_def_1531, type, lG311: !>[X0: $tType]:((num) > X0)).
% 8.42/2.11  tff(func_def_1532, type, lG312: !>[X0: $tType]:((num) > X0)).
% 8.42/2.11  tff(func_def_1533, type, iG313: !>[X0: $tType]:((nat) > X0)).
% 8.42/2.11  tff(func_def_1534, type, iG314: !>[X0: $tType]:((nat) > X0)).
% 8.42/2.11  tff(func_def_1535, type, iG315: !>[X0: $tType]:((nat * X0) > X0)).
% 8.42/2.11  tff(func_def_1536, type, bG316: $o > $o).
% 8.42/2.11  tff(func_def_1537, type, bG317: $o > $o).
% 8.42/2.11  tff(func_def_1538, type, bG318: $o > $o).
% 8.42/2.11  tff(func_def_1539, type, bG319: $o > $o).
% 8.42/2.11  tff(func_def_1540, type, bG320: $o > $o).
% 8.42/2.11  tff(func_def_1541, type, bG321: $o > $o).
% 8.42/2.11  tff(func_def_1542, type, bG322: $o > $o).
% 8.42/2.11  tff(func_def_1543, type, bG323: $o > $o).
% 8.42/2.11  tff(func_def_1544, type, bG324: $o > $o).
% 8.42/2.11  tff(func_def_1545, type, bG325: $o > $o).
% 8.42/2.11  tff(func_def_1546, type, bG326: $o > $o).
% 8.42/2.11  tff(func_def_1547, type, bG327: $o > $o).
% 8.42/2.11  tff(func_def_1548, type, bG328: $o > $o).
% 8.42/2.11  tff(func_def_1549, type, bG329: $o > $o).
% 8.42/2.11  tff(func_def_1550, type, bG330: $o > $o).
% 8.42/2.11  tff(func_def_1551, type, bG331: $o > $o).
% 8.42/2.11  tff(func_def_1552, type, lG332: !>[X0: $tType]:((X0 * num) > X0)).
% 8.42/2.11  tff(func_def_1553, type, lG333: !>[X0: $tType]:((X0 * num) > X0)).
% 8.42/2.11  tff(func_def_1554, type, iG334: !>[X0: $tType]:((nat * nat * fun(nat,X0)) > X0)).
% 8.42/2.11  tff(func_def_1555, type, iG335: !>[X0: $tType]:((nat * nat * fun(nat,X0)) > X0)).
% 8.42/2.11  tff(func_def_1556, type, iG336: !>[X0: $tType]:((nat * nat * fun(nat,X0)) > X0)).
% 8.42/2.11  tff(func_def_1557, type, iG337: !>[X0: $tType]:((nat * nat * fun(nat,X0)) > X0)).
% 8.42/2.11  tff(func_def_1558, type, iG338: !>[X0: $tType]:((nat * nat * fun(nat,X0) * fun(nat,X0)) > X0)).
% 8.42/2.11  tff(func_def_1559, type, iG339: !>[X0: $tType]:((nat * nat * fun(nat,X0) * fun(nat,X0)) > X0)).
% 8.42/2.11  tff(func_def_1560, type, iG340: !>[X0: $tType]:((nat * nat * fun(nat,X0)) > X0)).
% 8.42/2.11  tff(func_def_1561, type, iG341: !>[X0: $tType]:((nat * nat * fun(nat,X0)) > X0)).
% 8.42/2.11  tff(func_def_1562, type, iG342: !>[X0: $tType]:((nat * nat * fun(nat,X0)) > X0)).
% 8.42/2.11  tff(func_def_1563, type, iG343: !>[X0: $tType]:((nat * nat * fun(nat,X0)) > X0)).
% 8.42/2.11  tff(func_def_1564, type, iG344: !>[X0: $tType]:((nat * nat * fun(nat,X0) * fun(nat,X0)) > X0)).
% 8.42/2.11  tff(func_def_1565, type, iG345: !>[X0: $tType]:((nat * nat * fun(nat,X0) * fun(nat,X0)) > X0)).
% 8.42/2.11  tff(func_def_1566, type, iG346: !>[X0: $tType]:((nat) > X0)).
% 8.42/2.11  tff(func_def_1567, type, iG347: !>[X0: $tType]:((nat) > X0)).
% 8.42/2.11  tff(func_def_1568, type, iG348: !>[X0: $tType]:((nat) > X0)).
% 8.42/2.11  tff(func_def_1569, type, bG349: $o > $o).
% 8.42/2.11  tff(func_def_1570, type, bG350: $o > $o).
% 8.42/2.11  tff(func_def_1571, type, bG351: ($o * $o) > $o).
% 8.42/2.11  tff(func_def_1572, type, bG352: $o > $o).
% 8.42/2.11  tff(func_def_1573, type, bG353: $o > $o).
% 8.42/2.11  tff(func_def_1574, type, iG354: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_1575, type, iG355: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_1576, type, iG356: !>[X0: $tType]:((X0 * set(X0)) > X0)).
% 8.42/2.11  tff(func_def_1577, type, iG357: !>[X0: $tType]:((X0 * set(X0)) > X0)).
% 8.42/2.11  tff(func_def_1578, type, iG358: !>[X0: $tType]:((list(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_1579, type, iG359: !>[X0: $tType]:((X0 * set(X0)) > X0)).
% 8.42/2.11  tff(func_def_1580, type, iG360: !>[X0: $tType]:((X0 * set(X0)) > X0)).
% 8.42/2.11  tff(func_def_1581, type, iG361: !>[X0: $tType]:((X0 * set(X0)) > X0)).
% 8.42/2.11  tff(func_def_1582, type, iG362: !>[X0: $tType]:((X0 * set(X0)) > X0)).
% 8.42/2.11  tff(func_def_1583, type, iG363: !>[X0: $tType]:((X0 * X0) > X0)).
% 8.42/2.11  tff(func_def_1584, type, iG364: !>[X0: $tType]:((X0 * X0) > X0)).
% 8.42/2.11  tff(func_def_1585, type, iG365: !>[X0: $tType]:((X0 * X0) > set(X0))).
% 8.42/2.11  tff(func_def_1586, type, bG366: $o > $o).
% 8.42/2.11  tff(func_def_1587, type, bG367: $o > $o).
% 8.42/2.11  tff(func_def_1588, type, bG368: $o > $o).
% 8.42/2.11  tff(func_def_1589, type, bG369: $o > $o).
% 8.42/2.11  tff(func_def_1590, type, iG370: !>[X0: $tType]:((set(nat) * nat * fun(nat,X0) * fun(nat,X0)) > X0)).
% 8.42/2.11  tff(func_def_1591, type, iG371: !>[X0: $tType]:((nat * X0) > X0)).
% 8.42/2.11  tff(func_def_1592, type, iG372: !>[X0: $tType]:((nat * X0) > X0)).
% 8.42/2.11  tff(func_def_1593, type, iG373: !>[X0: $tType]:((nat * nat * X0 * X0) > X0)).
% 8.42/2.11  tff(func_def_1594, type, iG374: !>[X0: $tType]:((nat * nat * X0 * X0) > X0)).
% 8.42/2.11  tff(func_def_1595, type, iG375: !>[X0: $tType]:((nat * nat * X0 * X0) > X0)).
% 8.42/2.11  tff(func_def_1596, type, iG376: !>[X0: $tType]:((X0 * nat) > X0)).
% 8.42/2.11  tff(func_def_1597, type, iG377: !>[X0: $tType]:((X0 * nat) > X0)).
% 8.42/2.11  tff(func_def_1598, type, iG378: !>[X0: $tType]:((X0 * nat * nat) > X0)).
% 8.42/2.11  tff(func_def_1599, type, iG379: !>[X0: $tType]:((nat * nat * X0) > X0)).
% 8.42/2.11  tff(func_def_1600, type, iG380: !>[X0: $tType]:((X0 * nat * nat) > X0)).
% 8.42/2.11  tff(func_def_1601, type, iG381: !>[X0: $tType]:((nat * nat) > X0)).
% 8.42/2.11  tff(func_def_1602, type, iG382: !>[X0: $tType]:((num * num) > X0)).
% 8.42/2.11  tff(func_def_1603, type, iG383: !>[X0: $tType]:((num * num) > X0)).
% 8.42/2.11  tff(func_def_1604, type, iG384: !>[X0: $tType]:((num * num) > X0)).
% 8.42/2.11  tff(func_def_1605, type, iG385: !>[X0: $tType]:((num * num) > X0)).
% 8.42/2.11  tff(func_def_1606, type, bG386: $o > $o).
% 8.42/2.11  tff(func_def_1607, type, bG387: $o > $o).
% 8.42/2.11  tff(func_def_1608, type, bG388: $o > $o).
% 8.42/2.11  tff(func_def_1609, type, bG389: $o > $o).
% 8.42/2.11  tff(func_def_1610, type, bG390: $o > $o).
% 8.42/2.11  tff(func_def_1611, type, bG391: $o > $o).
% 8.42/2.11  tff(func_def_1612, type, bG392: $o > $o).
% 8.42/2.11  tff(func_def_1613, type, bG393: $o > $o).
% 8.42/2.11  tff(func_def_1614, type, bG394: $o > $o).
% 8.42/2.11  tff(func_def_1615, type, bG395: $o > $o).
% 8.42/2.11  tff(func_def_1616, type, bG396: $o > $o).
% 8.42/2.11  tff(func_def_1617, type, bG397: $o > $o).
% 8.42/2.11  tff(func_def_1618, type, bG398: $o > $o).
% 8.42/2.11  tff(func_def_1619, type, bG399: $o > $o).
% 8.42/2.11  tff(func_def_1620, type, bG400: $o > $o).
% 8.42/2.11  tff(func_def_1621, type, bG401: $o > $o).
% 8.42/2.11  tff(func_def_1622, type, bG402: $o > $o).
% 8.42/2.11  tff(func_def_1623, type, bG403: $o > $o).
% 8.42/2.11  tff(func_def_1624, type, bG404: $o > $o).
% 8.42/2.11  tff(func_def_1625, type, bG405: $o > $o).
% 8.42/2.11  tff(func_def_1626, type, bG406: $o > $o).
% 8.42/2.11  tff(func_def_1627, type, bG407: $o > $o).
% 8.42/2.11  tff(func_def_1628, type, bG408: $o > $o).
% 8.42/2.11  tff(func_def_1629, type, bG409: $o > $o).
% 8.42/2.11  tff(func_def_1630, type, iG410: (code_integer * code_integer) > product_prod(code_integer,code_integer)).
% 8.42/2.11  tff(func_def_1631, type, iG411: (code_integer * code_integer) > product_prod(code_integer,code_integer)).
% 8.42/2.11  tff(func_def_1632, type, iG412: (code_integer * code_integer) > product_prod(code_integer,code_integer)).
% 8.42/2.11  tff(func_def_1633, type, iG413: (code_integer * code_integer) > product_prod(code_integer,code_integer)).
% 8.42/2.11  tff(func_def_1634, type, iG414: (code_integer * code_integer) > product_prod(code_integer,code_integer)).
% 8.42/2.11  tff(func_def_1635, type, iG415: (code_integer * code_integer) > product_prod(code_integer,code_integer)).
% 8.42/2.11  tff(func_def_1636, type, iG416: (code_integer * code_integer) > product_prod(code_integer,code_integer)).
% 8.42/2.11  tff(func_def_1637, type, iG417: (code_integer * code_integer) > product_prod(code_integer,code_integer)).
% 8.42/2.11  tff(func_def_1638, type, iG418: (nat * nat) > product_prod(nat,nat)).
% 8.42/2.11  tff(func_def_1639, type, iG419: (nat * nat) > product_prod(nat,nat)).
% 8.42/2.11  tff(func_def_1640, type, iG420: (int * int) > int).
% 8.42/2.11  tff(func_def_1641, type, iG421: (nat * nat) > product_prod(int,int)).
% 8.42/2.11  tff(func_def_1642, type, iG422: (num * nat) > option(num)).
% 8.42/2.11  tff(func_def_1643, type, iG423: (int * int) > list(int)).
% 8.42/2.11  tff(func_def_1644, type, iG424: (nat * nat) > list(nat)).
% 8.42/2.11  tff(func_def_1645, type, iG425: (int * int) > set(int)).
% 8.42/2.11  tff(func_def_1646, type, bG426: (int * int) > $o).
% 8.42/2.11  tff(func_def_1647, type, iG427: (int * int) > int).
% 8.42/2.11  tff(func_def_1648, type, iG428: (int * int) > int).
% 8.42/2.11  tff(func_def_1649, type, iG429: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_1650, type, bG430: (int * int) > $o).
% 8.42/2.11  tff(func_def_1651, type, iG431: (int * int) > int).
% 8.42/2.11  tff(func_def_1652, type, iG432: (int * int) > int).
% 8.42/2.11  tff(func_def_1653, type, iG433: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_1654, type, iG434: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_1655, type, iG435: !>[X0: $tType]:((nat) > list(list(X0)))).
% 8.42/2.11  tff(func_def_1656, type, iG436: (nat * real) > real).
% 8.42/2.11  tff(func_def_1657, type, iG437: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_1658, type, iG438: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_1659, type, iG439: (nat * nat) > list(nat)).
% 8.42/2.11  tff(func_def_1660, type, iG440: (nat * nat) > set(nat)).
% 8.42/2.11  tff(func_def_1661, type, iG441: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_1662, type, iG442: !>[X0: $tType]:((list(X0)) > nat)).
% 8.42/2.11  tff(func_def_1663, type, iG443: (num * nat) > set(nat)).
% 8.42/2.11  tff(func_def_1664, type, iG444: (int * int) > int).
% 8.42/2.11  tff(func_def_1665, type, iG445: (int * int) > int).
% 8.42/2.11  tff(func_def_1666, type, iG446: (int * int) > int).
% 8.42/2.11  tff(func_def_1667, type, iG447: (int * int) > int).
% 8.42/2.11  tff(func_def_1668, type, iG448: (int * int) > int).
% 8.42/2.11  tff(func_def_1669, type, iG449: (int * int) > int).
% 8.42/2.11  tff(func_def_1670, type, bG450: (int * int) > $o).
% 8.42/2.11  tff(func_def_1671, type, iG451: (int * int) > int).
% 8.42/2.11  tff(func_def_1672, type, iG452: (int * int) > int).
% 8.42/2.11  tff(func_def_1673, type, iG453: (int * int) > int).
% 8.42/2.11  tff(func_def_1674, type, bG454: (int * int) > $o).
% 8.42/2.11  tff(func_def_1675, type, bG455: (int * int) > $o).
% 8.42/2.11  tff(func_def_1676, type, bG456: (int * int) > $o).
% 8.42/2.11  tff(func_def_1677, type, iG457: (int * int) > int).
% 8.42/2.11  tff(func_def_1678, type, iG458: (int * int) > int).
% 8.42/2.11  tff(func_def_1679, type, iG459: (int * int) > int).
% 8.42/2.11  tff(func_def_1680, type, iG460: (int * int) > int).
% 8.42/2.11  tff(func_def_1681, type, bG461: (int * int) > $o).
% 8.42/2.11  tff(func_def_1682, type, bG462: (nat * int) > $o).
% 8.42/2.11  tff(func_def_1683, type, iG463: (nat * fun(nat,real)) > real).
% 8.42/2.11  tff(func_def_1684, type, iG464: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_1685, type, iG465: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_1686, type, bG466: (nat * nat) > $o).
% 8.42/2.11  tff(func_def_1687, type, iG467: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_1688, type, iG468: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_1689, type, bG469: (nat * nat) > $o).
% 8.42/2.11  tff(func_def_1690, type, iG470: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_1691, type, bG471: (nat * nat) > $o).
% 8.42/2.11  tff(func_def_1692, type, iG472: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_1693, type, iG473: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_1694, type, iG474: (num * num) > list(int)).
% 8.42/2.11  tff(func_def_1695, type, iG475: (num * num) > list(nat)).
% 8.42/2.11  tff(func_def_1696, type, lG476: (int * int) > int).
% 8.42/2.11  tff(func_def_1697, type, iG477: (int * int) > nat).
% 8.42/2.11  tff(func_def_1698, type, iG478: (int * int) > nat).
% 8.42/2.11  tff(func_def_1699, type, lG479: code_integer > num).
% 8.42/2.11  tff(func_def_1700, type, lG480: code_integer > num).
% 8.42/2.11  tff(func_def_1701, type, iG481: (code_integer * code_integer) > num).
% 8.42/2.11  tff(func_def_1702, type, lG482: code_integer > int).
% 8.42/2.11  tff(func_def_1703, type, iG483: (code_integer * code_integer) > int).
% 8.42/2.11  tff(func_def_1704, type, lG484: code_integer > nat).
% 8.42/2.11  tff(func_def_1705, type, lG485: code_integer > nat).
% 8.42/2.11  tff(func_def_1706, type, iG486: (code_integer * code_integer) > nat).
% 8.42/2.11  tff(func_def_1707, type, bG487: int > $o).
% 8.42/2.11  tff(func_def_1708, type, lG488: nat > a).
% 8.42/2.11  tff(func_def_1709, type, iG489: (nat * nat) > a).
% 8.42/2.11  tff(func_def_1710, type, iG490: (nat * nat) > int).
% 8.42/2.11  tff(func_def_1711, type, bG491: int > $o).
% 8.42/2.11  tff(func_def_1712, type, iG492: (num * num) > list(int)).
% 8.42/2.11  tff(func_def_1713, type, iG493: (num * num) > list(int)).
% 8.42/2.11  tff(func_def_1714, type, iG494: (int * int) > product_prod(int,int)).
% 8.42/2.11  tff(func_def_1715, type, iG495: (num * num) > list(int)).
% 8.42/2.11  tff(func_def_1716, type, iG496: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_1717, type, bG497: $o > $o).
% 8.42/2.11  tff(func_def_1718, type, bG498: $o > $o).
% 8.42/2.11  tff(func_def_1719, type, iG499: $o > option(nat)).
% 8.42/2.11  tff(func_def_1720, type, iG500: ($o * $o) > option(nat)).
% 8.42/2.11  tff(func_def_1721, type, bG501: $o > $o).
% 8.42/2.11  tff(func_def_1722, type, bG502: $o > $o).
% 8.42/2.11  tff(func_def_1723, type, iG503: $o > option(nat)).
% 8.42/2.11  tff(func_def_1724, type, iG504: ($o * $o) > option(nat)).
% 8.42/2.11  tff(func_def_1725, type, bG505: $o > $o).
% 8.42/2.11  tff(func_def_1726, type, bG506: $o > $o).
% 8.42/2.11  tff(func_def_1727, type, bG507: $o > $o).
% 8.42/2.11  tff(func_def_1728, type, bG508: $o > $o).
% 8.42/2.11  tff(func_def_1729, type, iG509: $o > option(nat)).
% 8.42/2.11  tff(func_def_1730, type, bG510: $o > $o).
% 8.42/2.11  tff(func_def_1731, type, bG511: $o > $o).
% 8.42/2.11  tff(func_def_1732, type, bG512: $o > $o).
% 8.42/2.11  tff(func_def_1733, type, bG513: $o > $o).
% 8.42/2.11  tff(func_def_1734, type, bG514: $o > $o).
% 8.42/2.11  tff(func_def_1735, type, iG515: !>[X0: $tType]:(($o) > set(X0))).
% 8.42/2.11  tff(func_def_1736, type, bG516: $o > $o).
% 8.42/2.11  tff(func_def_1737, type, bG517: $o > $o).
% 8.42/2.11  tff(func_def_1738, type, iG518: !>[X0: $tType, X1: $tType]:((set(X1) * X1 * fun(X1,X0)) > X0)).
% 8.42/2.11  tff(func_def_1739, type, iG519: !>[X0: $tType, X1: $tType]:((set(X1) * X1 * fun(X1,X0)) > X0)).
% 8.42/2.11  tff(func_def_1740, type, iG520: !>[X0: $tType, X1: $tType]:((set(X1) * X1 * fun(X1,X0)) > X0)).
% 8.42/2.11  tff(func_def_1741, type, iG521: !>[X0: $tType, X1: $tType]:((set(X1) * X1 * fun(X1,X0)) > X0)).
% 8.42/2.11  tff(func_def_1742, type, iG522: !>[X0: $tType, X1: $tType]:((set(X1) * X0) > X0)).
% 8.42/2.11  tff(func_def_1743, type, iG523: !>[X0: $tType, X1: $tType]:((set(X1) * X0) > X0)).
% 8.42/2.11  tff(func_def_1744, type, iG524: !>[X0: $tType, X1: $tType]:((set(X1) * X1 * fun(X1,X0)) > X0)).
% 8.42/2.11  tff(func_def_1745, type, iG525: !>[X0: $tType, X1: $tType]:((set(X1) * X1 * fun(X1,X0)) > X0)).
% 8.42/2.11  tff(func_def_1746, type, iG526: !>[X0: $tType, X1: $tType]:((X1 * X1 * fun(X1,X0) * fun(X1,X0)) > X0)).
% 8.42/2.11  tff(func_def_1747, type, iG527: !>[X0: $tType, X1: $tType]:((X1 * fun(X1,$o) * fun(X1,X0) * fun(X1,X0)) > X0)).
% 8.42/2.11  tff(func_def_1748, type, iG528: !>[X0: $tType, X1: $tType]:((set(X1) * X1 * fun(X1,X0) * fun(X1,X0)) > X0)).
% 8.42/2.11  tff(func_def_1749, type, iG529: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X0)).
% 8.42/2.11  tff(func_def_1750, type, iG530: !>[X0: $tType, X1: $tType]:((set(X1) * X1 * fun(X1,X0)) > X0)).
% 8.42/2.11  tff(func_def_1751, type, iG531: !>[X0: $tType, X1: $tType]:((X1 * X1 * fun(X1,X0)) > X0)).
% 8.42/2.11  tff(func_def_1752, type, iG532: !>[X0: $tType, X1: $tType]:((X1 * X1 * fun(X1,X0)) > X0)).
% 8.42/2.11  tff(func_def_1753, type, iG533: !>[X0: $tType, X1: $tType]:((X1 * fun(X1,$o) * fun(X1,X0)) > X0)).
% 8.42/2.11  tff(func_def_1754, type, iG534: !>[X0: $tType, X1: $tType]:((set(X1) * X1 * fun(X1,X0)) > X0)).
% 8.42/2.11  tff(func_def_1755, type, iG535: !>[X0: $tType, X1: $tType]:((set(X1) * X1 * fun(X1,X0)) > X0)).
% 8.42/2.11  tff(func_def_1756, type, iG536: !>[X0: $tType, X1: $tType]:((set(X1) * X1 * fun(X1,X0)) > X0)).
% 8.42/2.11  tff(func_def_1757, type, iG537: !>[X0: $tType, X1: $tType]:((set(X1) * X1 * fun(X1,X0)) > X0)).
% 8.42/2.11  tff(func_def_1758, type, iG538: !>[X0: $tType, X1: $tType]:((X1 * X1 * X0 * fun(X1,X0)) > X0)).
% 8.42/2.11  tff(func_def_1759, type, iG539: !>[X0: $tType, X1: $tType]:((X1 * X1 * fun(X1,X0) * fun(X1,X0)) > X0)).
% 8.42/2.11  tff(func_def_1760, type, iG540: !>[X0: $tType, X1: $tType]:((X1 * fun(X1,$o) * fun(X1,X0) * fun(X1,X0)) > X0)).
% 8.42/2.11  tff(func_def_1761, type, iG541: !>[X0: $tType, X1: $tType]:((set(X1) * X1 * X0 * fun(X1,X0)) > X0)).
% 8.42/2.11  tff(func_def_1762, type, iG542: !>[X0: $tType, X1: $tType]:((set(X1) * X1 * fun(X1,X0) * fun(X1,X0)) > X0)).
% 8.42/2.11  tff(func_def_1763, type, iG543: !>[X0: $tType, X1: $tType]:((X0 * fun(X0,X1) * X0 * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_1764, type, bG544: $o > $o).
% 8.42/2.11  tff(func_def_1765, type, bG545: $o > $o).
% 8.42/2.11  tff(func_def_1766, type, lG546: nat > nat).
% 8.42/2.11  tff(func_def_1767, type, lG547: nat > nat).
% 8.42/2.11  tff(func_def_1768, type, bG548: (list(vEBT_VEBT) * vEBT_VEBT) > $o).
% 8.42/2.11  tff(func_def_1769, type, bG549: $o > $o).
% 8.42/2.11  tff(func_def_1770, type, bG550: $o > $o).
% 8.42/2.11  tff(func_def_1771, type, bG551: $o > $o).
% 8.42/2.11  tff(func_def_1772, type, bG552: $o > $o).
% 8.42/2.11  tff(func_def_1773, type, lG553: nat > nat).
% 8.42/2.11  tff(func_def_1774, type, lG554: nat > nat).
% 8.42/2.11  tff(func_def_1775, type, bG555: (list(vEBT_VEBT) * vEBT_VEBT) > $o).
% 8.42/2.11  tff(func_def_1776, type, bG556: $o > $o).
% 8.42/2.11  tff(func_def_1777, type, bG557: $o > $o).
% 8.42/2.11  tff(func_def_1778, type, lG560: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_1779, type, bG562: $o > $o).
% 8.42/2.11  tff(func_def_1780, type, bG563: $o > $o).
% 8.42/2.11  tff(func_def_1781, type, bG564: $o > $o).
% 8.42/2.11  tff(func_def_1782, type, bG565: $o > $o).
% 8.42/2.11  tff(func_def_1783, type, lG568: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_1784, type, bG570: $o > $o).
% 8.42/2.11  tff(func_def_1785, type, bG571: $o > $o).
% 8.42/2.11  tff(func_def_1786, type, lG572: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_1787, type, lG574: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_1788, type, bG576: $o > $o).
% 8.42/2.11  tff(func_def_1789, type, bG577: $o > $o).
% 8.42/2.11  tff(func_def_1790, type, bG578: $o > $o).
% 8.42/2.11  tff(func_def_1791, type, bG579: $o > $o).
% 8.42/2.11  tff(func_def_1792, type, lG580: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_1793, type, lG582: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_1794, type, bG584: $o > $o).
% 8.42/2.11  tff(func_def_1795, type, bG585: $o > $o).
% 8.42/2.11  tff(func_def_1796, type, lG586: nat > nat).
% 8.42/2.11  tff(func_def_1797, type, lG587: nat > nat).
% 8.42/2.11  tff(func_def_1798, type, bG588: (list(vEBT_VEBT) * vEBT_VEBT) > $o).
% 8.42/2.11  tff(func_def_1799, type, bG589: $o > $o).
% 8.42/2.11  tff(func_def_1800, type, bG590: $o > $o).
% 8.42/2.11  tff(func_def_1801, type, bG591: $o > $o).
% 8.42/2.11  tff(func_def_1802, type, bG592: $o > $o).
% 8.42/2.11  tff(func_def_1803, type, lG593: nat > nat).
% 8.42/2.11  tff(func_def_1804, type, lG594: nat > nat).
% 8.42/2.11  tff(func_def_1805, type, bG595: (list(vEBT_VEBT) * vEBT_VEBT) > $o).
% 8.42/2.11  tff(func_def_1806, type, bG596: $o > $o).
% 8.42/2.11  tff(func_def_1807, type, bG597: $o > $o).
% 8.42/2.11  tff(func_def_1808, type, lG600: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_1809, type, bG602: $o > $o).
% 8.42/2.11  tff(func_def_1810, type, bG603: $o > $o).
% 8.42/2.11  tff(func_def_1811, type, bG604: $o > $o).
% 8.42/2.11  tff(func_def_1812, type, bG605: $o > $o).
% 8.42/2.11  tff(func_def_1813, type, lG608: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_1814, type, lG610: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_1815, type, lG612: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_1816, type, lG614: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_1817, type, lG616: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_1818, type, bG618: $o > $o).
% 8.42/2.11  tff(func_def_1819, type, bG619: $o > $o).
% 8.42/2.11  tff(func_def_1820, type, bG620: $o > $o).
% 8.42/2.11  tff(func_def_1821, type, bG621: $o > $o).
% 8.42/2.11  tff(func_def_1822, type, iG622: (int * int) > int).
% 8.42/2.11  tff(func_def_1823, type, iG623: (int * int) > int).
% 8.42/2.11  tff(func_def_1824, type, bG624: (int * int) > $o).
% 8.42/2.11  tff(func_def_1825, type, lG625: nat > nat).
% 8.42/2.11  tff(func_def_1826, type, lG626: nat > nat).
% 8.42/2.11  tff(func_def_1827, type, iG627: nat > vEBT_VEBT).
% 8.42/2.11  tff(func_def_1828, type, lG628: nat > nat).
% 8.42/2.11  tff(func_def_1829, type, lG629: nat > nat).
% 8.42/2.11  tff(func_def_1830, type, iG630: nat > vEBT_VEBT).
% 8.42/2.11  tff(func_def_1831, type, bG631: $o > $o).
% 8.42/2.11  tff(func_def_1832, type, bG632: $o > $o).
% 8.42/2.11  tff(func_def_1833, type, iG633: $o > option(nat)).
% 8.42/2.11  tff(func_def_1834, type, iG634: ($o * $o) > option(nat)).
% 8.42/2.11  tff(func_def_1835, type, bG635: $o > $o).
% 8.42/2.11  tff(func_def_1836, type, bG636: $o > $o).
% 8.42/2.11  tff(func_def_1837, type, iG637: $o > option(nat)).
% 8.42/2.11  tff(func_def_1838, type, iG638: ($o * $o) > option(nat)).
% 8.42/2.11  tff(func_def_1839, type, bG639: $o > $o).
% 8.42/2.11  tff(func_def_1840, type, bG640: $o > $o).
% 8.42/2.11  tff(func_def_1841, type, bG641: $o > $o).
% 8.42/2.11  tff(func_def_1842, type, bG642: $o > $o).
% 8.42/2.11  tff(func_def_1843, type, iG643: $o > option(nat)).
% 8.42/2.11  tff(func_def_1844, type, iG644: ($o * $o) > option(nat)).
% 8.42/2.11  tff(func_def_1845, type, bG645: $o > $o).
% 8.42/2.11  tff(func_def_1846, type, bG646: $o > $o).
% 8.42/2.11  tff(func_def_1847, type, iG647: $o > option(nat)).
% 8.42/2.11  tff(func_def_1848, type, iG648: ($o * $o) > option(nat)).
% 8.42/2.11  tff(func_def_1849, type, bG649: $o > $o).
% 8.42/2.11  tff(func_def_1850, type, bG650: $o > $o).
% 8.42/2.11  tff(func_def_1851, type, iG651: !>[X0: $tType]:((list(list(X0))) > nat)).
% 8.42/2.11  tff(func_def_1852, type, iG652: !>[X0: $tType, X1: $tType]:((X1 * X1 * fun(X1,X0) * fun(X1,X0)) > X0)).
% 8.42/2.11  tff(func_def_1853, type, bG653: $o > $o).
% 8.42/2.11  tff(func_def_1854, type, bG654: $o > $o).
% 8.42/2.11  tff(func_def_1855, type, bG655: $o > $o).
% 8.42/2.11  tff(func_def_1856, type, bG656: $o > $o).
% 8.42/2.11  tff(func_def_1857, type, bG657: $o > $o).
% 8.42/2.11  tff(func_def_1858, type, bG658: $o > $o).
% 8.42/2.11  tff(func_def_1859, type, bG659: $o > $o).
% 8.42/2.11  tff(func_def_1860, type, bG660: $o > $o).
% 8.42/2.11  tff(func_def_1861, type, lG663: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_1862, type, bG669: $o > $o).
% 8.42/2.11  tff(func_def_1863, type, bG670: $o > $o).
% 8.42/2.11  tff(func_def_1864, type, bG671: $o > $o).
% 8.42/2.11  tff(func_def_1865, type, bG672: $o > $o).
% 8.42/2.11  tff(func_def_1866, type, lG675: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_1867, type, bG681: $o > $o).
% 8.42/2.11  tff(func_def_1868, type, bG682: $o > $o).
% 8.42/2.11  tff(func_def_1869, type, lG685: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_1870, type, bG691: $o > $o).
% 8.42/2.11  tff(func_def_1871, type, bG692: $o > $o).
% 8.42/2.11  tff(func_def_1872, type, bG693: $o > $o).
% 8.42/2.11  tff(func_def_1873, type, bG694: $o > $o).
% 8.42/2.11  tff(func_def_1874, type, lG697: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_1875, type, iG703: (int * real) > real).
% 8.42/2.11  tff(func_def_1876, type, iG704: (int * real) > real).
% 8.42/2.11  tff(func_def_1877, type, iG705: (int * int) > list(int)).
% 8.42/2.11  tff(func_def_1878, type, bG706: (int * int) > $o).
% 8.42/2.11  tff(func_def_1879, type, bG707: (int * int) > $o).
% 8.42/2.11  tff(func_def_1880, type, iG708: (int * int) > int).
% 8.42/2.11  tff(func_def_1881, type, bG709: $o > $o).
% 8.42/2.11  tff(func_def_1882, type, bG710: $o > $o).
% 8.42/2.11  tff(func_def_1883, type, bG714: $o > $o).
% 8.42/2.11  tff(func_def_1884, type, bG715: $o > $o).
% 8.42/2.11  tff(func_def_1885, type, iG716: !>[X0: $tType]:((X0 * set(X0)) > X0)).
% 8.42/2.11  tff(func_def_1886, type, iG717: (int * int * list(int)) > list(int)).
% 8.42/2.11  tff(func_def_1887, type, iG718: !>[X0: $tType]:((nat * X0) > list(X0))).
% 8.42/2.11  tff(func_def_1888, type, iG719: !>[X0: $tType]:((list(X0) * X0) > nat)).
% 8.42/2.11  tff(func_def_1889, type, lG720: !>[X0: $tType]:((list(X0)) > list(list(X0)))).
% 8.42/2.11  tff(func_def_1890, type, iG721: !>[X0: $tType]:((list(X0) * X0) > list(X0))).
% 8.42/2.11  tff(func_def_1891, type, iG722: !>[X0: $tType]:((nat * X0) > set(X0))).
% 8.42/2.11  tff(func_def_1892, type, iG723: !>[X0: $tType]:((set(nat) * X0) > list(X0))).
% 8.42/2.11  tff(func_def_1893, type, iG724: (nat * nat) > set(nat)).
% 8.42/2.11  tff(func_def_1894, type, iG725: (nat * nat * nat) > set(nat)).
% 8.42/2.11  tff(func_def_1895, type, lG726: !>[X0: $tType]:((list(X0)) > set(set(X0)))).
% 8.42/2.11  tff(func_def_1896, type, iG727: !>[X0: $tType]:((list(X0) * list(X0)) > X0)).
% 8.42/2.11  tff(func_def_1897, type, iG728: (code_integer * code_integer * code_integer) > product_prod(code_integer,code_integer)).
% 8.42/2.11  tff(func_def_1898, type, iG729: (code_integer * code_integer * code_integer) > product_prod(code_integer,code_integer)).
% 8.42/2.11  tff(func_def_1899, type, iG730: (code_integer * code_integer * code_integer) > product_prod(code_integer,code_integer)).
% 8.42/2.11  tff(func_def_1900, type, iG731: (code_integer * num * code_integer) > product_prod(code_integer,code_integer)).
% 8.42/2.11  tff(func_def_1901, type, iG732: (code_integer * code_integer * code_integer) > code_integer).
% 8.42/2.11  tff(func_def_1902, type, bG733: code_integer > $o).
% 8.42/2.11  tff(func_def_1903, type, iG734: (int * num * int) > product_prod(int,int)).
% 8.42/2.11  tff(func_def_1904, type, iG735: (nat * fun(nat,real) * fun(nat,real)) > real).
% 8.42/2.11  tff(func_def_1905, type, iG736: (nat * fun(nat,real) * fun(nat,real)) > real).
% 8.42/2.11  tff(func_def_1906, type, iG737: (nat * num * nat) > product_prod(nat,nat)).
% 8.42/2.11  tff(func_def_1907, type, iG738: (nat * nat * nat) > nat).
% 8.42/2.11  tff(func_def_1908, type, iG739: !>[X0: $tType]:((X0 * fun(X0,$o)) > set(X0))).
% 8.42/2.11  tff(func_def_1909, type, iG740: !>[X0: $tType]:((X0 * fun(X0,$o)) > set(X0))).
% 8.42/2.11  tff(func_def_1910, type, iG741: !>[X0: $tType]:((set(X0) * X0) > nat)).
% 8.42/2.11  tff(func_def_1911, type, bG742: $o > $o).
% 8.42/2.11  tff(func_def_1912, type, bG743: $o > $o).
% 8.42/2.11  tff(func_def_1913, type, bG744: $o > $o).
% 8.42/2.11  tff(func_def_1914, type, bG745: $o > $o).
% 8.42/2.11  tff(func_def_1915, type, bG746: $o > $o).
% 8.42/2.11  tff(func_def_1916, type, bG747: $o > $o).
% 8.42/2.11  tff(func_def_1917, type, iG748: (nat * $o * $o) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_1918, type, iG749: (nat * $o * $o) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_1919, type, bG750: $o > $o).
% 8.42/2.11  tff(func_def_1920, type, bG751: $o > $o).
% 8.42/2.11  tff(func_def_1921, type, iG752: $o > option(nat)).
% 8.42/2.11  tff(func_def_1922, type, iG753: ($o * $o) > option(nat)).
% 8.42/2.11  tff(func_def_1923, type, bG754: $o > $o).
% 8.42/2.11  tff(func_def_1924, type, bG755: $o > $o).
% 8.42/2.11  tff(func_def_1925, type, bG756: $o > $o).
% 8.42/2.11  tff(func_def_1926, type, bG757: $o > $o).
% 8.42/2.11  tff(func_def_1927, type, bG758: $o > $o).
% 8.42/2.11  tff(func_def_1928, type, bG759: $o > $o).
% 8.42/2.11  tff(func_def_1929, type, iG760: (nat * $o * $o) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_1930, type, iG761: (nat * $o * $o) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_1931, type, lG762: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_1932, type, iG763: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_1933, type, lG764: (nat * nat * nat) > nat).
% 8.42/2.11  tff(func_def_1934, type, iG765: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_1935, type, iG766: (nat * nat * nat * list(vEBT_VEBT) * vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_1936, type, iG767: (nat * nat * nat * list(vEBT_VEBT) * nat * vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_1937, type, bG768: $o > $o).
% 8.42/2.11  tff(func_def_1938, type, bG769: $o > $o).
% 8.42/2.11  tff(func_def_1939, type, bG770: $o > $o).
% 8.42/2.11  tff(func_def_1940, type, bG771: $o > $o).
% 8.42/2.11  tff(func_def_1941, type, bG772: $o > $o).
% 8.42/2.11  tff(func_def_1942, type, bG773: $o > $o).
% 8.42/2.11  tff(func_def_1943, type, iG774: (nat * $o * $o) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_1944, type, iG775: (nat * $o * $o) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_1945, type, bG776: $o > $o).
% 8.42/2.11  tff(func_def_1946, type, bG777: $o > $o).
% 8.42/2.11  tff(func_def_1947, type, lG778: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_1948, type, iG779: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_1949, type, lG780: (nat * nat * nat) > nat).
% 8.42/2.11  tff(func_def_1950, type, iG781: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_1951, type, iG782: (nat * nat * nat * list(vEBT_VEBT) * vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_1952, type, iG783: (nat * nat * nat * list(vEBT_VEBT) * nat * vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_1953, type, bG784: $o > $o).
% 8.42/2.11  tff(func_def_1954, type, bG785: $o > $o).
% 8.42/2.11  tff(func_def_1955, type, bG786: $o > $o).
% 8.42/2.11  tff(func_def_1956, type, bG787: $o > $o).
% 8.42/2.11  tff(func_def_1957, type, iG788: $o > option(nat)).
% 8.42/2.11  tff(func_def_1958, type, bG789: $o > $o).
% 8.42/2.11  tff(func_def_1959, type, bG790: $o > $o).
% 8.42/2.11  tff(func_def_1960, type, iG791: $o > option(nat)).
% 8.42/2.11  tff(func_def_1961, type, iG792: ($o * $o) > option(nat)).
% 8.42/2.11  tff(func_def_1962, type, lG793: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_1963, type, lG794: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_1964, type, lG795: (list(vEBT_VEBT) * nat * nat) > option(nat)).
% 8.42/2.11  tff(func_def_1965, type, lG796: (vEBT_VEBT * nat * nat) > option(nat)).
% 8.42/2.11  tff(func_def_1966, type, iG797: (nat * nat) > option(nat)).
% 8.42/2.11  tff(func_def_1967, type, iG798: (nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat) > option(nat)).
% 8.42/2.11  tff(func_def_1968, type, iG799: (nat * nat * list(vEBT_VEBT) * vEBT_VEBT * nat) > option(nat)).
% 8.42/2.11  tff(func_def_1969, type, iG800: (list(vEBT_VEBT) * nat * nat * vEBT_VEBT * nat) > option(nat)).
% 8.42/2.11  tff(func_def_1970, type, iG801: (nat * nat * nat * list(vEBT_VEBT) * vEBT_VEBT * nat) > option(nat)).
% 8.42/2.11  tff(func_def_1971, type, bG802: $o > $o).
% 8.42/2.11  tff(func_def_1972, type, bG803: $o > $o).
% 8.42/2.11  tff(func_def_1973, type, bG804: $o > $o).
% 8.42/2.11  tff(func_def_1974, type, bG805: $o > $o).
% 8.42/2.11  tff(func_def_1975, type, bG806: $o > $o).
% 8.42/2.11  tff(func_def_1976, type, bG807: $o > $o).
% 8.42/2.11  tff(func_def_1977, type, iG808: $o > option(nat)).
% 8.42/2.11  tff(func_def_1978, type, bG809: $o > $o).
% 8.42/2.11  tff(func_def_1979, type, bG810: $o > $o).
% 8.42/2.11  tff(func_def_1980, type, bG811: $o > $o).
% 8.42/2.11  tff(func_def_1981, type, bG812: $o > $o).
% 8.42/2.11  tff(func_def_1982, type, iG813: $o > option(nat)).
% 8.42/2.11  tff(func_def_1983, type, iG814: ($o * $o) > option(nat)).
% 8.42/2.11  tff(func_def_1984, type, bG815: $o > $o).
% 8.42/2.11  tff(func_def_1985, type, bG816: $o > $o).
% 8.42/2.11  tff(func_def_1986, type, lG817: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_1987, type, lG818: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_1988, type, lG819: (list(vEBT_VEBT) * nat * nat) > option(nat)).
% 8.42/2.11  tff(func_def_1989, type, lG820: (vEBT_VEBT * nat * nat) > option(nat)).
% 8.42/2.11  tff(func_def_1990, type, iG821: (nat * nat) > option(nat)).
% 8.42/2.11  tff(func_def_1991, type, iG822: (nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat) > option(nat)).
% 8.42/2.11  tff(func_def_1992, type, iG823: (nat * nat * list(vEBT_VEBT) * vEBT_VEBT * nat) > option(nat)).
% 8.42/2.11  tff(func_def_1993, type, iG824: (list(vEBT_VEBT) * nat * nat * vEBT_VEBT * nat) > option(nat)).
% 8.42/2.11  tff(func_def_1994, type, iG825: (nat * nat * nat * list(vEBT_VEBT) * vEBT_VEBT * nat) > option(nat)).
% 8.42/2.11  tff(func_def_1995, type, iG826: !>[X0: $tType]:((X0 * X0 * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_1996, type, iG827: !>[X0: $tType]:((X0 * X0 * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_1997, type, iG828: (int * int) > list(int)).
% 8.42/2.11  tff(func_def_1998, type, iG829: (int * int) > list(int)).
% 8.42/2.11  tff(func_def_1999, type, iG830: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_2000, type, iG831: (nat * nat) > product_prod(nat,nat)).
% 8.42/2.11  tff(func_def_2001, type, iG832: (nat * nat) > product_prod(nat,nat)).
% 8.42/2.11  tff(func_def_2002, type, iG833: (nat * nat) > product_prod(int,int)).
% 8.42/2.11  tff(func_def_2003, type, iG834: (nat * nat) > product_prod(int,int)).
% 8.42/2.11  tff(func_def_2004, type, bG835: (int * int) > $o).
% 8.42/2.11  tff(func_def_2005, type, bG836: (int * int) > $o).
% 8.42/2.11  tff(func_def_2006, type, iG837: (int * int) > int).
% 8.42/2.11  tff(func_def_2007, type, bG838: (int * int) > $o).
% 8.42/2.11  tff(func_def_2008, type, bG839: (int * int) > $o).
% 8.42/2.11  tff(func_def_2009, type, iG840: (int * int) > int).
% 8.42/2.11  tff(func_def_2010, type, bG841: $o > $o).
% 8.42/2.11  tff(func_def_2011, type, bG842: $o > $o).
% 8.42/2.11  tff(func_def_2012, type, lG843: nat > nat).
% 8.42/2.11  tff(func_def_2013, type, lG844: nat > nat).
% 8.42/2.11  tff(func_def_2014, type, bG845: (list(vEBT_VEBT) * vEBT_VEBT) > $o).
% 8.42/2.11  tff(func_def_2015, type, bG846: $o > $o).
% 8.42/2.11  tff(func_def_2016, type, bG847: $o > $o).
% 8.42/2.11  tff(func_def_2017, type, bG848: $o > $o).
% 8.42/2.11  tff(func_def_2018, type, bG849: $o > $o).
% 8.42/2.11  tff(func_def_2019, type, lG850: nat > nat).
% 8.42/2.11  tff(func_def_2020, type, lG851: nat > nat).
% 8.42/2.11  tff(func_def_2021, type, bG852: (list(vEBT_VEBT) * vEBT_VEBT) > $o).
% 8.42/2.11  tff(func_def_2022, type, bG853: $o > $o).
% 8.42/2.11  tff(func_def_2023, type, bG854: $o > $o).
% 8.42/2.11  tff(func_def_2024, type, lG857: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_2025, type, bG859: $o > $o).
% 8.42/2.11  tff(func_def_2026, type, bG860: $o > $o).
% 8.42/2.11  tff(func_def_2027, type, bG861: $o > $o).
% 8.42/2.11  tff(func_def_2028, type, bG862: $o > $o).
% 8.42/2.11  tff(func_def_2029, type, iG863: (nat * $o) > $o).
% 8.42/2.11  tff(func_def_2030, type, iG864: (nat * $o * $o) > $o).
% 8.42/2.11  tff(func_def_2031, type, bG865: $o > $o).
% 8.42/2.11  tff(func_def_2032, type, bG866: $o > $o).
% 8.42/2.11  tff(func_def_2033, type, lG867: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_2034, type, bG868: (nat * nat * list(vEBT_VEBT)) > $o).
% 8.42/2.11  tff(func_def_2035, type, iG869: (list(vEBT_VEBT) * nat * nat) > $o).
% 8.42/2.11  tff(func_def_2036, type, bG870: $o > $o).
% 8.42/2.11  tff(func_def_2037, type, bG871: $o > $o).
% 8.42/2.11  tff(func_def_2038, type, lG872: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_2039, type, lG874: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_2040, type, bG876: $o > $o).
% 8.42/2.11  tff(func_def_2041, type, bG877: $o > $o).
% 8.42/2.11  tff(func_def_2042, type, bG878: $o > $o).
% 8.42/2.11  tff(func_def_2043, type, bG879: $o > $o).
% 8.42/2.11  tff(func_def_2044, type, lG880: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_2045, type, lG882: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_2046, type, bG883: (nat * nat * list(vEBT_VEBT)) > $o).
% 8.42/2.11  tff(func_def_2047, type, iG884: (list(vEBT_VEBT) * nat * nat) > $o).
% 8.42/2.11  tff(func_def_2048, type, bG885: $o > $o).
% 8.42/2.11  tff(func_def_2049, type, bG886: $o > $o).
% 8.42/2.11  tff(func_def_2050, type, lG889: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_2051, type, bG895: $o > $o).
% 8.42/2.11  tff(func_def_2052, type, bG896: $o > $o).
% 8.42/2.11  tff(func_def_2053, type, bG897: $o > $o).
% 8.42/2.11  tff(func_def_2054, type, bG898: $o > $o).
% 8.42/2.11  tff(func_def_2055, type, iG899: (nat * $o) > $o).
% 8.42/2.11  tff(func_def_2056, type, iG900: (nat * $o * $o) > $o).
% 8.42/2.11  tff(func_def_2057, type, bG901: $o > $o).
% 8.42/2.11  tff(func_def_2058, type, bG902: $o > $o).
% 8.42/2.11  tff(func_def_2059, type, lG903: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_2060, type, iG904: (list(vEBT_VEBT) * nat * nat) > $o).
% 8.42/2.11  tff(func_def_2061, type, iG905: (nat * nat * nat * list(vEBT_VEBT)) > $o).
% 8.42/2.11  tff(func_def_2062, type, iG906: (nat * nat * nat * nat * list(vEBT_VEBT)) > $o).
% 8.42/2.11  tff(func_def_2063, type, iG907: (nat * nat * nat * nat * list(vEBT_VEBT)) > $o).
% 8.42/2.11  tff(func_def_2064, type, iG908: (nat * nat * nat * nat * list(vEBT_VEBT)) > $o).
% 8.42/2.11  tff(func_def_2065, type, iG909: (int * int) > int).
% 8.42/2.11  tff(func_def_2066, type, iG910: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_2067, type, bG911: $o > $o).
% 8.42/2.11  tff(func_def_2068, type, bG912: $o > $o).
% 8.42/2.11  tff(func_def_2069, type, bG913: $o > $o).
% 8.42/2.11  tff(func_def_2070, type, bG914: $o > $o).
% 8.42/2.11  tff(func_def_2071, type, bG917: $o > $o).
% 8.42/2.11  tff(func_def_2072, type, bG918: $o > $o).
% 8.42/2.11  tff(func_def_2073, type, bG919: $o > $o).
% 8.42/2.11  tff(func_def_2074, type, iG920: (nat * $o) > $o).
% 8.42/2.11  tff(func_def_2075, type, iG921: (nat * $o * $o) > $o).
% 8.42/2.11  tff(func_def_2076, type, bG922: $o > $o).
% 8.42/2.11  tff(func_def_2077, type, bG923: $o > $o).
% 8.42/2.11  tff(func_def_2078, type, iG924: !>[X0: $tType]:((nat * fun(nat,X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_2079, type, iG925: !>[X0: $tType]:((X0 * fun(X0,$o) * nat) > list(X0))).
% 8.42/2.11  tff(func_def_2080, type, iG926: !>[X0: $tType]:((X0 * fun(X0,$o) * nat) > list(X0))).
% 8.42/2.11  tff(func_def_2081, type, lG927: num > nat).
% 8.42/2.11  tff(func_def_2082, type, iG928: !>[X0: $tType]:((X0 * fun(X0,$o) * list(X0)) > option(product_prod(list(X0),product_prod(X0,list(X0)))))).
% 8.42/2.11  tff(func_def_2083, type, iG929: !>[X0: $tType]:((set(nat) * X0) > list(X0))).
% 8.42/2.11  tff(func_def_2084, type, iG930: !>[X0: $tType]:((X0 * X0 * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_2085, type, iG931: !>[X0: $tType]:((X0 * fun(X0,$o) * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_2086, type, iG932: !>[X0: $tType]:((X0 * fun(X0,$o) * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_2087, type, iG933: !>[X0: $tType]:((X0 * fun(X0,$o) * nat) > list(X0))).
% 8.42/2.11  tff(func_def_2088, type, iG934: !>[X0: $tType]:((X0 * X0 * list(X0)) > nat)).
% 8.42/2.11  tff(func_def_2089, type, iG935: !>[X0: $tType]:((nat * list(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_2090, type, iG936: !>[X0: $tType, X1: $tType]:((set(X1) * X0) > set(X0))).
% 8.42/2.11  tff(func_def_2091, type, iG937: !>[X0: $tType]:((X0 * X0 * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_2092, type, iG938: !>[X0: $tType]:((X0 * fun(X0,$o) * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_2093, type, iG939: !>[X0: $tType]:((X0 * X0 * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_2094, type, iG940: !>[X0: $tType]:((list(X0) * X0 * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_2095, type, iG941: !>[X0: $tType]:((fun(X0,$o) * list(X0) * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_2096, type, iG942: !>[X0: $tType]:((list(X0) * nat * list(X0)) > X0)).
% 8.42/2.11  tff(func_def_2097, type, iG943: !>[X0: $tType]:((X0 * X0 * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_2098, type, iG944: !>[X0: $tType]:((X0 * fun(X0,$o) * set(X0)) > set(X0))).
% 8.42/2.11  tff(func_def_2099, type, iG945: !>[X0: $tType]:((set(X0) * X0 * set(X0)) > set(X0))).
% 8.42/2.11  tff(func_def_2100, type, iG946: !>[X0: $tType, X1: $tType]:((set(X1) * set(X0)) > set(X0))).
% 8.42/2.11  tff(func_def_2101, type, iG947: !>[X0: $tType, X1: $tType]:((set(X1) * set(X0)) > set(X0))).
% 8.42/2.11  tff(func_def_2102, type, iG948: !>[X0: $tType]:((X0 * X0) > list(X0))).
% 8.42/2.11  tff(func_def_2103, type, iG949: !>[X0: $tType]:((set(X0) * X0 * fun(X0,nat)) > nat)).
% 8.42/2.11  tff(func_def_2104, type, bG950: (nat * nat) > $o).
% 8.42/2.11  tff(func_def_2105, type, iG951: (int * int * nat * nat) > int).
% 8.42/2.11  tff(func_def_2106, type, iG952: (nat * int * int * nat) > int).
% 8.42/2.11  tff(func_def_2107, type, bG953: (nat * nat) > $o).
% 8.42/2.11  tff(func_def_2108, type, iG954: (int * int * nat * nat) > int).
% 8.42/2.11  tff(func_def_2109, type, iG955: (nat * int * int * nat) > int).
% 8.42/2.11  tff(func_def_2110, type, iG956: (int * int) > int).
% 8.42/2.11  tff(func_def_2111, type, iG957: (int * int) > int).
% 8.42/2.11  tff(func_def_2112, type, bG958: $o > $o).
% 8.42/2.11  tff(func_def_2113, type, lG959: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_2114, type, bG964: $o > $o).
% 8.42/2.11  tff(func_def_2115, type, bG965: $o > $o).
% 8.42/2.11  tff(func_def_2116, type, bG966: $o > $o).
% 8.42/2.11  tff(func_def_2117, type, bG967: $o > $o).
% 8.42/2.11  tff(func_def_2118, type, iG968: !>[X0: $tType]:((set(X0) * X0 * set(X0)) > $o)).
% 8.42/2.11  tff(func_def_2119, type, iG969: !>[X0: $tType]:((set(X0) * X0 * set(X0)) > $o)).
% 8.42/2.11  tff(func_def_2120, type, iG970: !>[X0: $tType]:((set(X0) * X0 * set(X0)) > $o)).
% 8.42/2.11  tff(func_def_2121, type, iG971: !>[X0: $tType]:((nat * nat * X0 * fun(nat,fun(X0,X0))) > X0)).
% 8.42/2.11  tff(func_def_2122, type, iG972: !>[X0: $tType, X1: $tType]:((option(X1) * fun(X1,X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_2123, type, iG973: !>[X0: $tType, X1: $tType]:((list(X1) * fun(X1,fun(list(X1),X0)) * X0) > X0)).
% 8.42/2.11  tff(func_def_2124, type, iG974: !>[X0: $tType, X1: $tType]:((set(X1) * X1 * fun(X1,option(X0))) > fun(X1,option(X0)))).
% 8.42/2.11  tff(func_def_2125, type, lG975: num > nat).
% 8.42/2.11  tff(func_def_2126, type, iG976: !>[X0: $tType]:((list(X0) * nat * X0 * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_2127, type, iG977: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod(X2,X0) * product_prod(X1,X2)) > list(product_prod(X1,X0)))).
% 8.42/2.11  tff(func_def_2128, type, iG978: !>[X0: $tType, X1: $tType]:((X1 * fun(X1,$o) * fun(X1,X0)) > option(X0))).
% 8.42/2.11  tff(func_def_2129, type, iG979: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,set(X0)) * X0) > set(X0))).
% 8.42/2.11  tff(func_def_2130, type, iG980: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,set(X0)) * set(X0)) > set(X0))).
% 8.42/2.11  tff(func_def_2131, type, iG981: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,set(X0)) * set(X0)) > set(X0))).
% 8.42/2.11  tff(func_def_2132, type, iG982: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,set(X0)) * set(X0)) > set(X0))).
% 8.42/2.11  tff(func_def_2133, type, iG983: !>[X0: $tType, X1: $tType]:((set(X1) * set(X0) * fun(X1,set(X0))) > set(X0))).
% 8.42/2.11  tff(func_def_2134, type, iG984: !>[X0: $tType, X1: $tType]:((set(X1) * set(X0) * fun(X1,set(X0))) > set(X0))).
% 8.42/2.11  tff(func_def_2135, type, iG985: !>[X0: $tType, X1: $tType]:((set(X1) * set(X0) * fun(X1,set(X0))) > set(X0))).
% 8.42/2.11  tff(func_def_2136, type, iG986: !>[X0: $tType, X1: $tType]:((set(X1) * set(X0) * fun(X1,set(X0))) > set(X0))).
% 8.42/2.11  tff(func_def_2137, type, iG987: !>[X0: $tType, X1: $tType]:((set(X1) * set(X0) * fun(X1,set(X0))) > set(X0))).
% 8.42/2.11  tff(func_def_2138, type, iG988: !>[X0: $tType, X1: $tType]:((set(X1) * set(X0) * fun(X1,set(X0))) > set(X0))).
% 8.42/2.11  tff(func_def_2139, type, iG989: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,set(X0)) * X0) > set(X0))).
% 8.42/2.11  tff(func_def_2140, type, iG990: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,set(X0)) * set(X0)) > set(X0))).
% 8.42/2.11  tff(func_def_2141, type, iG991: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,set(X0)) * set(X0)) > set(X0))).
% 8.42/2.11  tff(func_def_2142, type, iG992: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,set(X0)) * set(X0)) > set(X0))).
% 8.42/2.11  tff(func_def_2143, type, iG993: !>[X0: $tType]:((nat * fun(nat,X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_2144, type, iG994: !>[X0: $tType]:((nat * nat * list(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_2145, type, iG995: !>[X0: $tType]:((nat * nat * X0 * fun(nat,fun(X0,X0))) > X0)).
% 8.42/2.11  tff(func_def_2146, type, lG996: nat > nat).
% 8.42/2.11  tff(func_def_2147, type, lG997: nat > nat).
% 8.42/2.11  tff(func_def_2148, type, bG998: (list(vEBT_VEBT) * vEBT_VEBT) > $o).
% 8.42/2.11  tff(func_def_2149, type, lG999: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_2150, type, bG1001: $o > $o).
% 8.42/2.11  tff(func_def_2151, type, bG1002: $o > $o).
% 8.42/2.11  tff(func_def_2152, type, iG1003: !>[X0: $tType, X1: $tType]:((set(X1) * X1 * fun(X1,option(X0)) * option(X0)) > fun(X1,option(X0)))).
% 8.42/2.11  tff(func_def_2153, type, iG1004: !>[X0: $tType, X1: $tType]:((set(X1) * X1 * fun(X1,X0) * X0) > set(X0))).
% 8.42/2.11  tff(func_def_2154, type, iG1005: !>[X0: $tType, X1: $tType]:((set(X1) * X1 * fun(X1,X0) * fun(X1,X0)) > X0)).
% 8.42/2.11  tff(func_def_2155, type, iG1006: !>[X0: $tType, X1: $tType]:((X1 * X1 * list(product_prod(X1,X0)) * X0) > option(X0))).
% 8.42/2.11  tff(func_def_2156, type, lG1007: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_2157, type, iG1008: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_2158, type, lG1009: (nat * nat * nat) > nat).
% 8.42/2.11  tff(func_def_2159, type, iG1010: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_2160, type, iG1011: (nat * nat * nat * list(vEBT_VEBT) * vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_2161, type, iG1012: (nat * nat * nat * list(vEBT_VEBT) * nat * vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_2162, type, lG1013: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_2163, type, lG1014: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_2164, type, lG1015: (list(vEBT_VEBT) * nat * nat) > option(nat)).
% 8.42/2.11  tff(func_def_2165, type, lG1016: (vEBT_VEBT * nat * nat) > option(nat)).
% 8.42/2.11  tff(func_def_2166, type, iG1017: (nat * nat) > option(nat)).
% 8.42/2.11  tff(func_def_2167, type, iG1018: (nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat) > option(nat)).
% 8.42/2.11  tff(func_def_2168, type, iG1019: (nat * nat * list(vEBT_VEBT) * vEBT_VEBT * nat) > option(nat)).
% 8.42/2.11  tff(func_def_2169, type, iG1020: (list(vEBT_VEBT) * nat * nat * vEBT_VEBT * nat) > option(nat)).
% 8.42/2.11  tff(func_def_2170, type, iG1021: (nat * nat * nat * list(vEBT_VEBT) * vEBT_VEBT * nat) > option(nat)).
% 8.42/2.11  tff(func_def_2171, type, iG1022: !>[X0: $tType]:((nat * nat * X0 * fun(nat,fun(X0,X0))) > X0)).
% 8.42/2.11  tff(func_def_2172, type, iG1023: !>[X0: $tType]:((nat * nat * X0 * fun(nat,fun(X0,X0))) > X0)).
% 8.42/2.11  tff(func_def_2173, type, lG1024: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_2174, type, lG1025: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_2175, type, lG1026: (list(vEBT_VEBT) * nat * nat) > option(nat)).
% 8.42/2.11  tff(func_def_2176, type, lG1027: (vEBT_VEBT * nat * nat) > option(nat)).
% 8.42/2.11  tff(func_def_2177, type, iG1028: (nat * nat) > option(nat)).
% 8.42/2.11  tff(func_def_2178, type, iG1029: (nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat) > option(nat)).
% 8.42/2.11  tff(func_def_2179, type, iG1030: (nat * nat * list(vEBT_VEBT) * vEBT_VEBT * nat) > option(nat)).
% 8.42/2.11  tff(func_def_2180, type, iG1031: (list(vEBT_VEBT) * nat * nat * vEBT_VEBT * nat) > option(nat)).
% 8.42/2.11  tff(func_def_2181, type, lG1032: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_2182, type, lG1033: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_2183, type, lG1034: (list(vEBT_VEBT) * nat * nat) > option(nat)).
% 8.42/2.11  tff(func_def_2184, type, lG1035: (vEBT_VEBT * nat * nat) > option(nat)).
% 8.42/2.11  tff(func_def_2185, type, iG1036: (nat * nat) > option(nat)).
% 8.42/2.11  tff(func_def_2186, type, iG1037: (nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat) > option(nat)).
% 8.42/2.11  tff(func_def_2187, type, iG1038: (nat * nat * list(vEBT_VEBT) * vEBT_VEBT * nat) > option(nat)).
% 8.42/2.11  tff(func_def_2188, type, iG1039: (nat * nat * list(vEBT_VEBT) * vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_2189, type, iG1040: (nat * nat * list(vEBT_VEBT) * vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_2190, type, lG1041: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_2191, type, lG1043: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_2192, type, iG1044: (list(vEBT_VEBT) * nat * nat) > $o).
% 8.42/2.11  tff(func_def_2193, type, iG1045: (nat * nat * nat * list(vEBT_VEBT)) > $o).
% 8.42/2.11  tff(func_def_2194, type, iG1046: (nat * nat * nat * nat * list(vEBT_VEBT)) > $o).
% 8.42/2.11  tff(func_def_2195, type, iG1047: (nat * nat * nat * nat * list(vEBT_VEBT)) > $o).
% 8.42/2.11  tff(func_def_2196, type, iG1048: (nat * nat * nat * nat * list(vEBT_VEBT)) > $o).
% 8.42/2.11  tff(func_def_2197, type, iG1049: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 * product_prod(X1,X2) * set(product_prod(X1,X0)) * X0) > set(product_prod(X1,X0)))).
% 8.42/2.11  tff(func_def_2198, type, iG1052: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 * X2 * set(product_prod(X1,X0)) * X0 * X1) > set(product_prod(X1,X0)))).
% 8.42/2.11  tff(func_def_2199, type, iG1053: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 * X2 * set(product_prod(X1,X0)) * X0 * X1) > set(product_prod(X1,X0)))).
% 8.42/2.11  tff(func_def_2200, type, bG1054: $o > $o).
% 8.42/2.11  tff(func_def_2201, type, bG1055: $o > $o).
% 8.42/2.11  tff(func_def_2202, type, bG1056: $o > $o).
% 8.42/2.11  tff(func_def_2203, type, bG1057: $o > $o).
% 8.42/2.11  tff(func_def_2204, type, bG1058: $o > $o).
% 8.42/2.11  tff(func_def_2205, type, bG1059: $o > $o).
% 8.42/2.11  tff(func_def_2206, type, bG1060: $o > $o).
% 8.42/2.11  tff(func_def_2207, type, bG1061: $o > $o).
% 8.42/2.11  tff(func_def_2208, type, bG1062: $o > $o).
% 8.42/2.11  tff(func_def_2209, type, bG1063: $o > $o).
% 8.42/2.11  tff(func_def_2210, type, bG1064: $o > $o).
% 8.42/2.11  tff(func_def_2211, type, bG1065: $o > $o).
% 8.42/2.11  tff(func_def_2212, type, bG1066: $o > $o).
% 8.42/2.11  tff(func_def_2213, type, bG1067: $o > $o).
% 8.42/2.11  tff(func_def_2214, type, bG1068: $o > $o).
% 8.42/2.11  tff(func_def_2215, type, bG1069: $o > $o).
% 8.42/2.11  tff(func_def_2216, type, bG1070: $o > $o).
% 8.42/2.11  tff(func_def_2217, type, bG1071: $o > $o).
% 8.42/2.11  tff(func_def_2218, type, bG1072: $o > $o).
% 8.42/2.11  tff(func_def_2219, type, bG1073: $o > $o).
% 8.42/2.11  tff(func_def_2220, type, bG1074: $o > $o).
% 8.42/2.11  tff(func_def_2221, type, bG1075: $o > $o).
% 8.42/2.11  tff(func_def_2222, type, bG1076: $o > $o).
% 8.42/2.11  tff(func_def_2223, type, bG1077: $o > $o).
% 8.42/2.11  tff(func_def_2224, type, sK1665: (nat * nat * list(vEBT_VEBT) * nat * nat) > nat).
% 8.42/2.11  tff(func_def_2225, type, sK1666: list(vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_2226, type, sK1667: list(vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_2227, type, sK1668: list(vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_2228, type, sK1669: list(vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_2229, type, sK1670: vEBT_VEBT > nat).
% 8.42/2.11  tff(func_def_2230, type, sK1671: !>[X0: $tType]:((list(list(X0)) * list(X0) * list(X0)) > list(list(X0)))).
% 8.42/2.11  tff(func_def_2231, type, sK1672: !>[X0: $tType]:((list(list(X0)) * list(X0) * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_2232, type, sK1673: !>[X0: $tType]:((list(list(X0)) * list(X0) * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_2233, type, sK1674: !>[X0: $tType]:((list(list(X0)) * list(X0) * list(X0)) > list(list(X0)))).
% 8.42/2.11  tff(func_def_2234, type, sK1675: !>[X0: $tType]:((fun(X0,$o) * list(X0)) > X0)).
% 8.42/2.11  tff(func_def_2235, type, sK1676: list(vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_2236, type, sK1677: list(vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_2237, type, sK1678: vEBT_VEBT > nat).
% 8.42/2.11  tff(func_def_2238, type, sK1679: list(vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_2239, type, sK1680: list(vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_2240, type, sK1681: vEBT_VEBT > nat).
% 8.42/2.11  tff(func_def_2241, type, sK1682: list(vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_2242, type, sK1683: list(vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_2243, type, sK1684: vEBT_VEBT > nat).
% 8.42/2.11  tff(func_def_2244, type, sK1685: list(vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_2245, type, sK1686: list(vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_2246, type, sK1687: vEBT_VEBT > nat).
% 8.42/2.11  tff(func_def_2247, type, sK1688: list(vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_2248, type, sK1689: list(vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_2249, type, sK1690: vEBT_VEBT > nat).
% 8.42/2.11  tff(func_def_2250, type, sK1691: list(vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_2251, type, sK1692: list(vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_2252, type, sK1693: vEBT_VEBT > nat).
% 8.42/2.11  tff(func_def_2253, type, sK1694: nat).
% 8.42/2.11  tff(func_def_2254, type, sK1695: nat).
% 8.42/2.11  tff(func_def_2255, type, sK1696: vEBT_VEBT > product_prod(nat,nat)).
% 8.42/2.11  tff(func_def_2256, type, sK1697: vEBT_VEBT > nat).
% 8.42/2.11  tff(func_def_2257, type, sK1698: vEBT_VEBT > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_2258, type, sK1699: vEBT_VEBT > vEBT_VEBT).
% 8.42/2.11  tff(func_def_2259, type, sK1700: vEBT_VEBT > $o).
% 8.42/2.11  tff(func_def_2260, type, sK1701: vEBT_VEBT > $o).
% 8.42/2.11  tff(func_def_2261, type, sK1702: vEBT_VEBT > $o).
% 8.42/2.11  tff(func_def_2262, type, sK1703: vEBT_VEBT > product_prod(nat,nat)).
% 8.42/2.11  tff(func_def_2263, type, sK1704: vEBT_VEBT > nat).
% 8.42/2.11  tff(func_def_2264, type, sK1705: vEBT_VEBT > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_2265, type, sK1706: vEBT_VEBT > vEBT_VEBT).
% 8.42/2.11  tff(func_def_2266, type, sK1707: vEBT_VEBT > $o).
% 8.42/2.11  tff(func_def_2267, type, sK1708: vEBT_VEBT > nat).
% 8.42/2.11  tff(func_def_2268, type, sK1709: !>[X0: $tType]:((X0) > X0)).
% 8.42/2.11  tff(func_def_2269, type, sK1710: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_2270, type, sK1711: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_2271, type, sK1712: !>[X0: $tType]:((X0 * X0) > X0)).
% 8.42/2.11  tff(func_def_2272, type, sK1713: !>[X0: $tType]:((X0) > nat)).
% 8.42/2.11  tff(func_def_2273, type, sK1714: !>[X0: $tType]:((X0) > nat)).
% 8.42/2.11  tff(func_def_2274, type, sK1715: !>[X0: $tType]:((X0) > int)).
% 8.42/2.11  tff(func_def_2275, type, sK1716: !>[X0: $tType]:((X0) > int)).
% 8.42/2.11  tff(func_def_2276, type, sK1717: !>[X0: $tType]:((X0) > int)).
% 8.42/2.11  tff(func_def_2277, type, sK1718: !>[X0: $tType]:((X0) > int)).
% 8.42/2.11  tff(func_def_2278, type, sK1719: !>[X0: $tType]:((X0) > int)).
% 8.42/2.11  tff(func_def_2279, type, sK1720: !>[X0: $tType]:((X0) > nat)).
% 8.42/2.11  tff(func_def_2280, type, sK1721: !>[X0: $tType]:((X0) > nat)).
% 8.42/2.11  tff(func_def_2281, type, sK1722: !>[X0: $tType]:((X0 * X0) > nat)).
% 8.42/2.11  tff(func_def_2282, type, sK1723: !>[X0: $tType]:((X0) > fun(nat,set(X0)))).
% 8.42/2.11  tff(func_def_2283, type, sK1724: !>[X0: $tType]:((X0) > fun(nat,set(X0)))).
% 8.42/2.11  tff(func_def_2284, type, sK1725: !>[X0: $tType]:((X0 * set(X0)) > nat)).
% 8.42/2.11  tff(func_def_2285, type, sK1726: !>[X0: $tType]:((X0 * X0 * X0) > X0)).
% 8.42/2.11  tff(func_def_2286, type, sK1727: !>[X0: $tType]:((X0 * X0 * X0) > X0)).
% 8.42/2.11  tff(func_def_2287, type, sK1728: !>[X0: $tType]:((X0 * X0 * X0) > X0)).
% 8.42/2.11  tff(func_def_2288, type, sK1729: !>[X0: $tType]:((X0 * X0 * X0) > X0)).
% 8.42/2.11  tff(func_def_2289, type, sK1730: !>[X0: $tType]:((X0 * X0 * X0) > X0)).
% 8.42/2.11  tff(func_def_2290, type, sK1731: !>[X0: $tType]:((list(X0)) > X0)).
% 8.42/2.11  tff(func_def_2291, type, sK1732: !>[X0: $tType]:((X0 * X0) > X0)).
% 8.42/2.11  tff(func_def_2292, type, sK1733: !>[X0: $tType]:((X0 * X0) > X0)).
% 8.42/2.11  tff(func_def_2293, type, sK1734: !>[X0: $tType]:((X0 * X0) > X0)).
% 8.42/2.11  tff(func_def_2294, type, sK1735: !>[X0: $tType]:((set(X0)) > X0)).
% 8.42/2.11  tff(func_def_2295, type, sK1736: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_2296, type, sK1737: !>[X0: $tType]:((set(X0)) > X0)).
% 8.42/2.11  tff(func_def_2297, type, sK1738: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_2298, type, sK1739: !>[X0: $tType]:((X0 * set(X0)) > X0)).
% 8.42/2.11  tff(func_def_2299, type, sK1740: !>[X0: $tType]:((X0 * set(X0)) > X0)).
% 8.42/2.11  tff(func_def_2300, type, sK1741: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_2301, type, sK1742: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_2302, type, sK1743: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_2303, type, sK1744: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_2304, type, sK1745: !>[X0: $tType]:((X0 * X0) > X0)).
% 8.42/2.11  tff(func_def_2305, type, sK1746: !>[X0: $tType]:((X0 * X0) > X0)).
% 8.42/2.11  tff(func_def_2306, type, sK1747: !>[X0: $tType]:((X0 * X0 * X0) > X0)).
% 8.42/2.11  tff(func_def_2307, type, sK1748: !>[X0: $tType]:((X0 * X0 * X0) > X0)).
% 8.42/2.11  tff(func_def_2308, type, sK1749: !>[X0: $tType]:((fun(nat,X0)) > real)).
% 8.42/2.11  tff(func_def_2309, type, sK1750: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 8.42/2.11  tff(func_def_2310, type, sK1751: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 8.42/2.11  tff(func_def_2311, type, sK1752: !>[X0: $tType]:((fun(nat,X0)) > real)).
% 8.42/2.11  tff(func_def_2312, type, sK1753: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 8.42/2.11  tff(func_def_2313, type, sK1754: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 8.42/2.11  tff(func_def_2314, type, sK1755: !>[X0: $tType]:((set(X0)) > real)).
% 8.42/2.11  tff(func_def_2315, type, sK1756: !>[X0: $tType]:((set(X0) * real) > set(X0))).
% 8.42/2.11  tff(func_def_2316, type, sK1757: !>[X0: $tType]:((fun(nat,X0)) > real)).
% 8.42/2.11  tff(func_def_2317, type, sK1758: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 8.42/2.11  tff(func_def_2318, type, sK1759: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 8.42/2.11  tff(func_def_2319, type, sK1760: !>[X0: $tType]:((fun(nat,X0) * real) > nat)).
% 8.42/2.11  tff(func_def_2320, type, sK1761: !>[X0: $tType]:((fun(nat,X0)) > real)).
% 8.42/2.11  tff(func_def_2321, type, sK1762: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 8.42/2.11  tff(func_def_2322, type, sK1763: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 8.42/2.11  tff(func_def_2323, type, sK1764: !>[X0: $tType]:((fun(nat,X0) * real) > nat)).
% 8.42/2.11  tff(func_def_2324, type, sK1765: !>[X0: $tType]:((fun(nat,X0)) > real)).
% 8.42/2.11  tff(func_def_2325, type, sK1766: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 8.42/2.11  tff(func_def_2326, type, sK1767: !>[X0: $tType]:((fun(nat,X0) * real) > nat)).
% 8.42/2.11  tff(func_def_2327, type, sK1768: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 8.42/2.11  tff(func_def_2328, type, sK1769: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 8.42/2.11  tff(func_def_2329, type, sK1770: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 8.42/2.11  tff(func_def_2330, type, sK1771: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 8.42/2.11  tff(func_def_2331, type, sK1772: !>[X0: $tType]:((fun(nat,X0) * real) > nat)).
% 8.42/2.11  tff(func_def_2332, type, sK1773: !>[X0: $tType]:((fun(nat,X0) * X0) > real)).
% 8.42/2.11  tff(func_def_2333, type, sK1774: !>[X0: $tType]:((fun(nat,X0) * X0 * nat) > nat)).
% 8.42/2.11  tff(func_def_2334, type, sK1775: !>[X0: $tType]:((X0 * fun(nat,X0)) > real)).
% 8.42/2.11  tff(func_def_2335, type, sK1776: !>[X0: $tType]:((X0 * fun(nat,X0) * nat) > nat)).
% 8.42/2.11  tff(func_def_2336, type, sK1777: !>[X0: $tType]:((X0 * fun(nat,X0) * real) > nat)).
% 8.42/2.11  tff(func_def_2337, type, sK1778: !>[X0: $tType]:((fun(nat,X0) * X0) > real)).
% 8.42/2.11  tff(func_def_2338, type, sK1779: !>[X0: $tType]:((fun(nat,X0) * X0 * nat) > nat)).
% 8.42/2.11  tff(func_def_2339, type, sK1780: !>[X0: $tType]:((fun(nat,X0) * X0 * real) > nat)).
% 8.42/2.11  tff(func_def_2340, type, sK1781: !>[X0: $tType]:((fun(nat,X0) * X0 * real) > nat)).
% 8.42/2.11  tff(func_def_2341, type, sK1782: !>[X0: $tType]:((fun(X0,$o) * X0 * set(X0) * real) > X0)).
% 8.42/2.11  tff(func_def_2342, type, sK1783: !>[X0: $tType]:((fun(X0,$o) * X0 * set(X0)) > real)).
% 8.42/2.11  tff(func_def_2343, type, sK1784: !>[X0: $tType]:((real * fun(nat,X0) * nat) > real)).
% 8.42/2.11  tff(func_def_2344, type, sK1785: !>[X0: $tType]:((X0 * X0) > nat)).
% 8.42/2.11  tff(func_def_2345, type, sK1786: !>[X0: $tType]:((X0) > nat)).
% 8.42/2.11  tff(func_def_2346, type, sK1787: !>[X0: $tType]:((X0) > int)).
% 8.42/2.11  tff(func_def_2347, type, sK1788: !>[X0: $tType]:((X0) > int)).
% 8.42/2.11  tff(func_def_2348, type, sK1789: !>[X0: $tType]:((fun(int,$o) * X0) > int)).
% 8.42/2.11  tff(func_def_2349, type, sK1790: !>[X0: $tType]:((fun(int,$o) * X0) > int)).
% 8.42/2.11  tff(func_def_2350, type, sK1791: !>[X0: $tType]:((X0) > X0)).
% 8.42/2.11  tff(func_def_2351, type, sK1792: !>[X0: $tType]:((X0) > X0)).
% 8.42/2.11  tff(func_def_2352, type, sK1793: !>[X0: $tType]:((X0 * X0) > X0)).
% 8.42/2.11  tff(func_def_2353, type, sK1794: !>[X0: $tType]:((X0 * X0) > X0)).
% 8.42/2.11  tff(func_def_2354, type, sK1795: !>[X0: $tType]:((X0 * X0) > X0)).
% 8.42/2.11  tff(func_def_2355, type, sK1796: !>[X0: $tType]:((fun(nat,X0)) > real)).
% 8.42/2.11  tff(func_def_2356, type, sK1797: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 8.42/2.11  tff(func_def_2357, type, sK1798: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 8.42/2.11  tff(func_def_2358, type, sK1799: !>[X0: $tType]:((fun(nat,X0) * real) > nat)).
% 8.42/2.11  tff(func_def_2359, type, sK1800: !>[X0: $tType]:((fun(nat,X0) * real) > nat)).
% 8.42/2.11  tff(func_def_2360, type, sK1801: !>[X0: $tType]:((fun(nat,X0) * fun(nat,real) * nat) > nat)).
% 8.42/2.11  tff(func_def_2361, type, sK1802: !>[X0: $tType]:((fun(nat,complex) * nat * fun(nat,X0)) > nat)).
% 8.42/2.11  tff(func_def_2362, type, sK1803: fun(nat,complex) > nat).
% 8.42/2.11  tff(func_def_2363, type, sK1804: fun(nat,complex) > nat).
% 8.42/2.11  tff(func_def_2364, type, sK1805: !>[X0: $tType]:((fun(nat,real) * nat * fun(nat,X0)) > nat)).
% 8.42/2.11  tff(func_def_2365, type, sK1806: !>[X0: $tType]:((real * nat * fun(nat,X0)) > nat)).
% 8.42/2.11  tff(func_def_2366, type, sK1807: !>[X0: $tType]:((fun(nat,X0) * fun(nat,real) * nat) > nat)).
% 8.42/2.11  tff(func_def_2367, type, sK1808: !>[X0: $tType]:((fun(X0,X0) * X0 * fun(X0,X0)) > X0)).
% 8.42/2.11  tff(func_def_2368, type, sK1809: !>[X0: $tType]:((fun(X0,X0) * X0 * X0) > fun(X0,X0))).
% 8.42/2.11  tff(func_def_2369, type, sK1810: !>[X0: $tType]:((fun(X0,X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_2370, type, sK1811: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 8.42/2.11  tff(func_def_2371, type, sK1812: !>[X0: $tType]:((fun(X0,X0) * fun(X0,X0)) > X0)).
% 8.42/2.11  tff(func_def_2372, type, sK1813: !>[X0: $tType]:((set(X0) * fun(X0,X0) * fun(X0,X0)) > X0)).
% 8.42/2.11  tff(func_def_2373, type, sK1814: !>[X0: $tType]:((fun(nat,X0)) > real)).
% 8.42/2.11  tff(func_def_2374, type, sK1815: !>[X0: $tType]:((fun(nat,X0)) > real)).
% 8.42/2.11  tff(func_def_2375, type, sK1816: !>[X0: $tType]:((fun(nat,X0)) > real)).
% 8.42/2.11  tff(func_def_2376, type, sK1817: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 8.42/2.11  tff(func_def_2377, type, sK1818: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 8.42/2.11  tff(func_def_2378, type, sK1819: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 8.42/2.11  tff(func_def_2379, type, sK1820: !>[X0: $tType]:((fun(nat,X0)) > real)).
% 8.42/2.11  tff(func_def_2380, type, sK1821: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 8.42/2.11  tff(func_def_2381, type, sK1822: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 8.42/2.11  tff(func_def_2382, type, sK1823: !>[X0: $tType]:((fun(nat,X0) * real) > nat)).
% 8.42/2.11  tff(func_def_2383, type, sK1824: !>[X0: $tType]:((fun(X0,$o) * real) > X0)).
% 8.42/2.11  tff(func_def_2384, type, sK1825: !>[X0: $tType]:((fun(X0,$o)) > real)).
% 8.42/2.11  tff(func_def_2385, type, sK1826: !>[X0: $tType]:((fun(X0,$o) * real) > X0)).
% 8.42/2.11  tff(func_def_2386, type, sK1827: !>[X0: $tType]:((fun(X0,$o)) > real)).
% 8.42/2.11  tff(func_def_2387, type, sK1828: !>[X0: $tType]:((fun(nat,X0) * real) > nat)).
% 8.42/2.11  tff(func_def_2388, type, sK1829: !>[X0: $tType]:((fun(nat,X0)) > real)).
% 8.42/2.11  tff(func_def_2389, type, sK1830: !>[X0: $tType]:((fun(nat,X0) * real * X0) > nat)).
% 8.42/2.11  tff(func_def_2390, type, sK1831: !>[X0: $tType]:((fun(nat,X0)) > real)).
% 8.42/2.11  tff(func_def_2391, type, sK1832: !>[X0: $tType]:((fun(nat,X0)) > X0)).
% 8.42/2.11  tff(func_def_2392, type, sK1833: !>[X0: $tType]:((fun(nat,X0) * real * nat) > nat)).
% 8.42/2.11  tff(func_def_2393, type, sK1834: !>[X0: $tType]:((fun(nat,X0)) > real)).
% 8.42/2.11  tff(func_def_2394, type, sK1835: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 8.42/2.11  tff(func_def_2395, type, sK1836: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 8.42/2.11  tff(func_def_2396, type, sK1837: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 8.42/2.11  tff(func_def_2397, type, sK1838: !>[X0: $tType]:((fun(nat,X0) * real) > nat)).
% 8.42/2.11  tff(func_def_2398, type, sK1839: !>[X0: $tType]:((fun(nat,X0) * X0) > real)).
% 8.42/2.11  tff(func_def_2399, type, sK1840: !>[X0: $tType]:((fun(nat,X0) * X0 * nat) > nat)).
% 8.42/2.11  tff(func_def_2400, type, sK1841: !>[X0: $tType]:((fun(nat,X0) * real) > nat)).
% 8.42/2.11  tff(func_def_2401, type, sK1842: !>[X0: $tType]:((fun(nat,X0) * fun(nat,real) * nat) > nat)).
% 8.42/2.11  tff(func_def_2402, type, sK1843: !>[X0: $tType]:((real * fun(nat,X0)) > nat)).
% 8.42/2.11  tff(func_def_2403, type, sK1844: !>[X0: $tType]:((real * fun(nat,X0)) > nat)).
% 8.42/2.11  tff(func_def_2404, type, sK1845: !>[X0: $tType]:((fun(nat,X0) * X0) > real)).
% 8.42/2.11  tff(func_def_2405, type, sK1846: !>[X0: $tType]:((fun(nat,X0) * X0 * nat) > nat)).
% 8.42/2.11  tff(func_def_2406, type, sK1847: !>[X0: $tType]:((fun(nat,X0) * X0 * real) > nat)).
% 8.42/2.11  tff(func_def_2407, type, sK1848: !>[X0: $tType]:((fun(nat,X0) * X0 * real) > nat)).
% 8.42/2.11  tff(func_def_2408, type, sK1849: !>[X0: $tType]:((nat * fun(nat,X0)) > nat)).
% 8.42/2.11  tff(func_def_2409, type, sK1850: !>[X0: $tType]:((real * fun(nat,X0) * real) > nat)).
% 8.42/2.11  tff(func_def_2410, type, sK1851: !>[X0: $tType]:((fun(X0,$o)) > X0)).
% 8.42/2.11  tff(func_def_2411, type, sK1852: !>[X0: $tType]:((fun(X0,$o) * X0) > X0)).
% 8.42/2.11  tff(func_def_2412, type, sK1853: !>[X0: $tType]:((fun(X0,$o)) > X0)).
% 8.42/2.11  tff(func_def_2413, type, sK1854: !>[X0: $tType]:((fun(X0,$o)) > X0)).
% 8.42/2.11  tff(func_def_2414, type, sK1855: !>[X0: $tType]:((X0) > X0)).
% 8.42/2.11  tff(func_def_2415, type, sK1856: !>[X0: $tType]:((X0) > X0)).
% 8.42/2.11  tff(func_def_2416, type, sK1857: !>[X0: $tType]:((X0) > X0)).
% 8.42/2.11  tff(func_def_2417, type, sK1858: !>[X0: $tType]:((X0) > nat)).
% 8.42/2.11  tff(func_def_2418, type, sK1859: !>[X0: $tType]:((fun(X0,$o)) > X0)).
% 8.42/2.11  tff(func_def_2419, type, sK1860: !>[X0: $tType]:((fun(X0,$o)) > $o)).
% 8.42/2.11  tff(func_def_2420, type, sK1861: !>[X0: $tType]:((fun(X0,$o)) > X0)).
% 8.42/2.11  tff(func_def_2421, type, sK1862: !>[X0: $tType]:((X0 * X0) > nat)).
% 8.42/2.11  tff(func_def_2422, type, sK1863: !>[X0: $tType]:((X0 * X0) > X0)).
% 8.42/2.11  tff(func_def_2423, type, sK1864: !>[X0: $tType]:((X0 * X0) > X0)).
% 8.42/2.11  tff(func_def_2424, type, sK1865: !>[X0: $tType]:((X0 * nat) > nat)).
% 8.42/2.11  tff(func_def_2425, type, sK1866: !>[X0: $tType]:((nat * X0) > X0)).
% 8.42/2.11  tff(func_def_2426, type, sK1867: !>[X0: $tType]:((X0 * X0) > nat)).
% 8.42/2.11  tff(func_def_2427, type, sK1868: !>[X0: $tType]:((X0) > nat)).
% 8.42/2.11  tff(func_def_2428, type, sK1869: !>[X0: $tType]:((X0) > X0)).
% 8.42/2.11  tff(func_def_2429, type, sK1870: !>[X0: $tType]:((X0 * X0 * fun(X0,$o)) > X0)).
% 8.42/2.11  tff(func_def_2430, type, sK1871: !>[X0: $tType]:((X0 * X0 * fun(X0,$o)) > X0)).
% 8.42/2.11  tff(func_def_2431, type, sK1872: !>[X0: $tType]:((set(X0)) > X0)).
% 8.42/2.11  tff(func_def_2432, type, sK1873: !>[X0: $tType]:((set(X0)) > X0)).
% 8.42/2.11  tff(func_def_2433, type, sK1874: !>[X0: $tType]:((product_prod(X0,X0)) > X0)).
% 8.42/2.11  tff(func_def_2434, type, sK1875: !>[X0: $tType]:((product_prod(X0,X0)) > X0)).
% 8.42/2.11  tff(func_def_2435, type, sK1876: !>[X0: $tType]:((product_prod(X0,X0)) > X0)).
% 8.42/2.11  tff(func_def_2436, type, sK1877: !>[X0: $tType]:((product_prod(X0,X0)) > X0)).
% 8.42/2.11  tff(func_def_2437, type, sK1878: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_2438, type, sK1879: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_2439, type, sK1880: !>[X0: $tType]:((fun(nat,X0) * X0 * nat) > nat)).
% 8.42/2.11  tff(func_def_2440, type, sK1881: !>[X0: $tType]:((fun(nat,X0) * X0 * nat) > nat)).
% 8.42/2.11  tff(func_def_2441, type, sK1882: !>[X0: $tType]:((fun(real,X0) * real * real) > X0)).
% 8.42/2.11  tff(func_def_2442, type, sK1883: !>[X0: $tType]:((fun(real,X0) * real * real) > real)).
% 8.42/2.11  tff(func_def_2443, type, sK1884: !>[X0: $tType]:((real * real * fun(real,X0)) > real)).
% 8.42/2.11  tff(func_def_2444, type, sK1885: !>[X0: $tType]:((fun(real,X0) * real * real) > X0)).
% 8.42/2.11  tff(func_def_2445, type, sK1886: !>[X0: $tType]:((fun(real,X0) * real * real * X0) > real)).
% 8.42/2.11  tff(func_def_2446, type, sK1887: !>[X0: $tType]:((real * real * fun(real,X0)) > real)).
% 8.42/2.11  tff(func_def_2447, type, sK1888: !>[X0: $tType]:((fun(real,X0) * real * real) > X0)).
% 8.42/2.11  tff(func_def_2448, type, sK1889: !>[X0: $tType]:((fun(real,X0) * real * real) > real)).
% 8.42/2.11  tff(func_def_2449, type, sK1890: !>[X0: $tType]:((real * real * fun(real,X0)) > real)).
% 8.42/2.11  tff(func_def_2450, type, sK1891: !>[X0: $tType]:((real * real * fun(real,X0)) > X0)).
% 8.42/2.11  tff(func_def_2451, type, sK1892: !>[X0: $tType]:((real * real * fun(real,X0)) > real)).
% 8.42/2.11  tff(func_def_2452, type, sK1893: !>[X0: $tType]:((fun(X0,$o) * X0 * X0) > X0)).
% 8.42/2.11  tff(func_def_2453, type, sK1894: !>[X0: $tType]:((fun(X0,$o) * X0) > X0)).
% 8.42/2.11  tff(func_def_2454, type, sK1895: !>[X0: $tType]:((fun(X0,$o) * X0 * X0) > X0)).
% 8.42/2.11  tff(func_def_2455, type, sK1896: !>[X0: $tType]:((fun(X0,$o) * X0) > X0)).
% 8.42/2.11  tff(func_def_2456, type, sK1897: !>[X0: $tType]:((fun(nat,X0) * fun(nat,X0) * nat) > nat)).
% 8.42/2.11  tff(func_def_2457, type, sK1898: !>[X0: $tType]:((fun(nat,X0) * nat * X0) > nat)).
% 8.42/2.11  tff(func_def_2458, type, sK1899: !>[X0: $tType]:((fun(nat,X0) * nat * X0) > nat)).
% 8.42/2.11  tff(func_def_2459, type, sK1900: !>[X0: $tType]:((nat * fun(nat,X0) * fun(nat,X0)) > nat)).
% 8.42/2.11  tff(func_def_2460, type, sK1901: !>[X0: $tType]:((fun(X0,fun(X0,$o))) > X0)).
% 8.42/2.11  tff(func_def_2461, type, sK1902: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 8.42/2.11  tff(func_def_2462, type, sK1903: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 8.42/2.11  tff(func_def_2463, type, sK1904: !>[X0: $tType]:((nat * fun(nat,X0)) > nat)).
% 8.42/2.11  tff(func_def_2464, type, sK1905: !>[X0: $tType]:((nat * fun(nat,X0)) > nat)).
% 8.42/2.11  tff(func_def_2465, type, sK1906: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_2466, type, sK1907: !>[X0: $tType]:((set(set(X0)) * fun(set(X0),X0)) > set(X0))).
% 8.42/2.11  tff(func_def_2467, type, sK1908: !>[X0: $tType]:((set(set(X0)) * set(X0)) > fun(set(X0),X0))).
% 8.42/2.11  tff(func_def_2468, type, sK1909: !>[X0: $tType]:((set(X0)) > X0)).
% 8.42/2.11  tff(func_def_2469, type, sK1910: !>[X0: $tType]:((set(X0)) > X0)).
% 8.42/2.11  tff(func_def_2470, type, sK1911: !>[X0: $tType]:((set(X0)) > X0)).
% 8.42/2.11  tff(func_def_2471, type, sK1912: !>[X0: $tType]:((set(X0)) > X0)).
% 8.42/2.11  tff(func_def_2472, type, sK1913: !>[X0: $tType]:((set(X0)) > X0)).
% 8.42/2.11  tff(func_def_2473, type, sK1914: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_2474, type, sK1915: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_2475, type, sK1916: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_2476, type, sK1917: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_2477, type, sK1918: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_2478, type, sK1919: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_2479, type, sK1920: !>[X0: $tType]:((X0 * set(X0)) > X0)).
% 8.42/2.11  tff(func_def_2480, type, sK1921: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_2481, type, sK1922: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_2482, type, sK1923: !>[X0: $tType]:((fun(nat,X0) * X0 * nat) > fun(nat,X0))).
% 8.42/2.11  tff(func_def_2483, type, sK1924: !>[X0: $tType]:((fun(X0,$o) * X0 * X0) > X0)).
% 8.42/2.11  tff(func_def_2484, type, sK1925: !>[X0: $tType]:((X0 * X0 * fun(X0,$o)) > X0)).
% 8.42/2.11  tff(func_def_2485, type, sK1926: !>[X0: $tType]:((fun(nat,X0) * nat * X0) > fun(nat,X0))).
% 8.42/2.11  tff(func_def_2486, type, sK1927: !>[X0: $tType]:((nat * fun(nat,X0)) > nat)).
% 8.42/2.11  tff(func_def_2487, type, sK1928: !>[X0: $tType]:((nat * fun(nat,X0)) > nat)).
% 8.42/2.11  tff(func_def_2488, type, sK1929: !>[X0: $tType]:((nat * fun(nat,X0) * X0) > nat)).
% 8.42/2.11  tff(func_def_2489, type, sK1930: !>[X0: $tType]:((X0) > int)).
% 8.42/2.11  tff(func_def_2490, type, sK1931: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_2491, type, sK1932: !>[X0: $tType]:((fun(X0,$o) * set(X0)) > X0)).
% 8.42/2.11  tff(func_def_2492, type, sK1933: !>[X0: $tType]:((fun(X0,$o) * X0) > set(X0))).
% 8.42/2.11  tff(func_def_2493, type, sK1934: !>[X0: $tType]:((fun(X0,X0) * fun(X0,$o) * X0) > X0)).
% 8.42/2.11  tff(func_def_2494, type, sK1935: vEBT_VEBT > nat).
% 8.42/2.11  tff(func_def_2495, type, sK1936: vEBT_VEBT > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_2496, type, sK1937: vEBT_VEBT > vEBT_VEBT).
% 8.42/2.11  tff(func_def_2497, type, sK1938: vEBT_VEBT > nat).
% 8.42/2.11  tff(func_def_2498, type, sK1939: vEBT_VEBT > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_2499, type, sK1940: vEBT_VEBT > vEBT_VEBT).
% 8.42/2.11  tff(func_def_2500, type, sK1941: !>[X0: $tType]:((list(X0)) > X0)).
% 8.42/2.11  tff(func_def_2501, type, sK1942: !>[X0: $tType]:((list(X0)) > X0)).
% 8.42/2.11  tff(func_def_2502, type, sK1943: !>[X0: $tType]:((list(X0)) > X0)).
% 8.42/2.11  tff(func_def_2503, type, sK1944: !>[X0: $tType]:((list(X0)) > X0)).
% 8.42/2.11  tff(func_def_2504, type, sK1945: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 8.42/2.11  tff(func_def_2505, type, sK1946: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 8.42/2.11  tff(func_def_2506, type, sK1947: !>[X0: $tType]:((product_prod(X0,X0)) > X0)).
% 8.42/2.11  tff(func_def_2507, type, sK1948: !>[X0: $tType]:((product_prod(X0,X0)) > X0)).
% 8.42/2.11  tff(func_def_2508, type, sK1949: !>[X0: $tType]:((X0 * X0) > set(X0))).
% 8.42/2.11  tff(func_def_2509, type, sK1950: !>[X0: $tType]:((X0 * X0) > set(X0))).
% 8.42/2.11  tff(func_def_2510, type, sK1951: !>[X0: $tType]:((X0 * X0) > set(X0))).
% 8.42/2.11  tff(func_def_2511, type, sK1952: !>[X0: $tType]:((X0 * X0) > set(X0))).
% 8.42/2.11  tff(func_def_2512, type, sK1953: !>[X0: $tType]:((set(X0)) > X0)).
% 8.42/2.11  tff(func_def_2513, type, sK1954: !>[X0: $tType]:((set(X0)) > X0)).
% 8.42/2.11  tff(func_def_2514, type, sK1955: !>[X0: $tType]:((set(X0)) > X0)).
% 8.42/2.11  tff(func_def_2515, type, sK1956: !>[X0: $tType]:((set(X0)) > X0)).
% 8.42/2.11  tff(func_def_2516, type, sK1957: !>[X0: $tType]:((set(X0)) > X0)).
% 8.42/2.11  tff(func_def_2517, type, sK1958: !>[X0: $tType]:((set(X0)) > X0)).
% 8.42/2.11  tff(func_def_2518, type, sK1959: !>[X0: $tType]:((set(X0) * set(X0)) > X0)).
% 8.42/2.11  tff(func_def_2519, type, sK1960: !>[X0: $tType]:((set(X0) * set(X0)) > X0)).
% 8.42/2.11  tff(func_def_2520, type, sK1961: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_2521, type, sK1962: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_2522, type, sK1963: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_2523, type, sK1964: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_2524, type, sK1965: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_2525, type, sK1966: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_2526, type, sK1967: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_2527, type, sK1968: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_2528, type, sK1969: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_2529, type, sK1970: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_2530, type, sK1971: !>[X0: $tType]:((set(set(X0)) * fun(set(X0),X0)) > set(X0))).
% 8.42/2.11  tff(func_def_2531, type, sK1972: !>[X0: $tType]:((set(set(X0)) * set(X0)) > fun(set(X0),X0))).
% 8.42/2.11  tff(func_def_2532, type, sK1973: !>[X0: $tType]:((X0 * set(X0)) > X0)).
% 8.42/2.11  tff(func_def_2533, type, sK1974: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_2534, type, sK1975: !>[X0: $tType]:((set(X0)) > X0)).
% 8.42/2.11  tff(func_def_2535, type, sK1976: !>[X0: $tType]:((set(X0)) > set(set(X0)))).
% 8.42/2.11  tff(func_def_2536, type, sK1977: !>[X0: $tType]:((set(X0)) > set(set(X0)))).
% 8.42/2.11  tff(func_def_2537, type, sK1978: !>[X0: $tType]:((set(set(X0))) > set(X0))).
% 8.42/2.11  tff(func_def_2538, type, sK1979: !>[X0: $tType]:((set(X0) * set(set(X0))) > set(set(X0)))).
% 8.42/2.11  tff(func_def_2539, type, sK1980: !>[X0: $tType]:((set(X0)) > X0)).
% 8.42/2.11  tff(func_def_2540, type, sK1981: !>[X0: $tType]:((set(X0) * X0) > set(X0))).
% 8.42/2.11  tff(func_def_2541, type, sK1982: !>[X0: $tType]:((set(X0) * set(set(X0))) > set(set(X0)))).
% 8.42/2.11  tff(func_def_2542, type, sK1983: !>[X0: $tType]:((set(set(X0))) > set(X0))).
% 8.42/2.11  tff(func_def_2543, type, sK1984: !>[X0: $tType]:((set(X0) * fun(X0,real)) > X0)).
% 8.42/2.11  tff(func_def_2544, type, sK1985: !>[X0: $tType]:((set(X0) * fun(X0,real)) > X0)).
% 8.42/2.11  tff(func_def_2545, type, sK1986: !>[X0: $tType]:((fun(nat,X0) * X0) > set(X0))).
% 8.42/2.11  tff(func_def_2546, type, sK1987: !>[X0: $tType]:((fun(nat,X0) * X0 * nat) > nat)).
% 8.42/2.11  tff(func_def_2547, type, sK1988: !>[X0: $tType]:((fun(nat,X0) * set(X0)) > nat)).
% 8.42/2.11  tff(func_def_2548, type, sK1989: !>[X0: $tType]:((set(X0) * fun(X0,real) * fun(X0,real)) > X0)).
% 8.42/2.11  tff(func_def_2549, type, sK1990: !>[X0: $tType]:((fun(X0,real) * set(X0)) > X0)).
% 8.42/2.11  tff(func_def_2550, type, sK1991: !>[X0: $tType]:((set(X0) * fun(X0,real)) > X0)).
% 8.42/2.11  tff(func_def_2551, type, sK1992: !>[X0: $tType]:((set(X0) * fun(X0,real)) > X0)).
% 8.42/2.11  tff(func_def_2552, type, sK1993: !>[X0: $tType]:((fun(X0,real) * X0 * fun(X0,real)) > X0)).
% 8.42/2.11  tff(func_def_2553, type, sK1994: !>[X0: $tType]:((X0 * fun(X0,real)) > X0)).
% 8.42/2.11  tff(func_def_2554, type, sK1995: !>[X0: $tType]:((X0 * X0) > X0)).
% 8.42/2.11  tff(func_def_2555, type, sK1996: !>[X0: $tType]:((X0 * X0) > X0)).
% 8.42/2.11  tff(func_def_2556, type, sK1997: !>[X0: $tType]:((X0) > nat)).
% 8.42/2.11  tff(func_def_2557, type, sK1998: !>[X0: $tType]:((fun(X0,$o)) > nat)).
% 8.42/2.11  tff(func_def_2558, type, sK1999: !>[X0: $tType]:((X0 * set(X0)) > X0)).
% 8.42/2.11  tff(func_def_2559, type, sK2000: !>[X0: $tType]:((X0 * set(X0)) > X0)).
% 8.42/2.11  tff(func_def_2560, type, sK2001: !>[X0: $tType]:((set(X0) * set(X0)) > X0)).
% 8.42/2.11  tff(func_def_2561, type, sK2002: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_2562, type, sK2003: !>[X0: $tType]:((set(X0) * set(X0)) > X0)).
% 8.42/2.11  tff(func_def_2563, type, sK2004: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_2564, type, sK2005: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_2565, type, sK2006: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_2566, type, sK2007: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_2567, type, sK2008: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_2568, type, sK2009: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_2569, type, sK2010: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_2570, type, sK2011: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_2571, type, sK2012: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_2572, type, sK2013: !>[X0: $tType]:(X0)).
% 8.42/2.11  tff(func_def_2573, type, sK2014: !>[X0: $tType]:(X0)).
% 8.42/2.11  tff(func_def_2574, type, sK2015: !>[X0: $tType]:((set(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_2575, type, sK2016: !>[X0: $tType]:((set(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_2576, type, sK2017: !>[X0: $tType]:((set(X0)) > X0)).
% 8.42/2.11  tff(func_def_2577, type, sK2018: !>[X0: $tType]:((fun(X0,$o) * X0) > X0)).
% 8.42/2.11  tff(func_def_2578, type, sK2019: !>[X0: $tType]:((fun(X0,$o)) > X0)).
% 8.42/2.11  tff(func_def_2579, type, sK2020: !>[X0: $tType]:((fun(X0,$o) * X0) > X0)).
% 8.42/2.11  tff(func_def_2580, type, sK2021: !>[X0: $tType]:((fun(X0,$o)) > X0)).
% 8.42/2.11  tff(func_def_2581, type, sK2022: !>[X0: $tType]:((list(X0)) > nat)).
% 8.42/2.11  tff(func_def_2582, type, sK2023: !>[X0: $tType]:((list(X0)) > nat)).
% 8.42/2.11  tff(func_def_2583, type, sK2024: !>[X0: $tType]:((list(X0)) > nat)).
% 8.42/2.11  tff(func_def_2584, type, sK2025: !>[X0: $tType]:((list(X0)) > nat)).
% 8.42/2.11  tff(func_def_2585, type, sK2026: !>[X0: $tType]:((list(X0)) > nat)).
% 8.42/2.11  tff(func_def_2586, type, sK2027: !>[X0: $tType]:((list(X0)) > nat)).
% 8.42/2.11  tff(func_def_2587, type, sK2028: !>[X0: $tType]:((list(X0)) > nat)).
% 8.42/2.11  tff(func_def_2588, type, sK2029: !>[X0: $tType]:((list(X0)) > nat)).
% 8.42/2.11  tff(func_def_2589, type, sK2030: !>[X0: $tType]:((X0) > X0)).
% 8.42/2.11  tff(func_def_2590, type, sK2031: !>[X0: $tType]:((X0) > X0)).
% 8.42/2.11  tff(func_def_2591, type, sK2032: !>[X0: $tType]:((X0) > X0)).
% 8.42/2.11  tff(func_def_2592, type, sK2033: !>[X0: $tType]:((X0) > X0)).
% 8.42/2.11  tff(func_def_2593, type, sK2034: !>[X0: $tType]:((X0) > X0)).
% 8.42/2.11  tff(func_def_2594, type, sK2035: !>[X0: $tType]:((X0) > X0)).
% 8.42/2.11  tff(func_def_2595, type, sK2036: !>[X0: $tType]:((X0) > X0)).
% 8.42/2.11  tff(func_def_2596, type, sK2037: !>[X0: $tType]:((X0) > X0)).
% 8.42/2.11  tff(func_def_2597, type, sK2038: !>[X0: $tType]:((X0) > X0)).
% 8.42/2.11  tff(func_def_2598, type, sK2039: !>[X0: $tType]:((X0) > X0)).
% 8.42/2.11  tff(func_def_2599, type, sK2040: !>[X0: $tType]:((X0) > X0)).
% 8.42/2.11  tff(func_def_2600, type, sK2041: !>[X0: $tType]:((X0) > X0)).
% 8.42/2.11  tff(func_def_2601, type, sK2042: !>[X0: $tType]:((set(X0) * set(X0)) > X0)).
% 8.42/2.11  tff(func_def_2602, type, sK2043: !>[X0: $tType]:((set(X0) * set(X0)) > X0)).
% 8.42/2.11  tff(func_def_2603, type, sK2044: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_2604, type, sK2045: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_2605, type, sK2046: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_2606, type, sK2047: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_2607, type, sK2048: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_2608, type, sK2049: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_2609, type, sK2050: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_2610, type, sK2051: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_2611, type, sK2052: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_2612, type, sK2053: !>[X0: $tType]:((fun(set(X0),$o)) > X0)).
% 8.42/2.11  tff(func_def_2613, type, sK2054: !>[X0: $tType]:((fun(set(X0),$o)) > set(X0))).
% 8.42/2.11  tff(func_def_2614, type, sK2055: !>[X0: $tType]:((fun(set(X0),$o)) > X0)).
% 8.42/2.11  tff(func_def_2615, type, sK2056: !>[X0: $tType]:((fun(set(X0),$o)) > set(X0))).
% 8.42/2.11  tff(func_def_2616, type, sK2057: !>[X0: $tType]:((list(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_2617, type, sK2058: !>[X0: $tType]:((X0 * fun(X0,$o)) > X0)).
% 8.42/2.11  tff(func_def_2618, type, sK2059: !>[X0: $tType]:((fun(X0,X0)) > X0)).
% 8.42/2.11  tff(func_def_2619, type, sK2060: !>[X0: $tType]:((fun(X0,X0)) > X0)).
% 8.42/2.11  tff(func_def_2620, type, sK2061: !>[X0: $tType]:((X0 * list(X0)) > X0)).
% 8.42/2.11  tff(func_def_2621, type, sK2062: !>[X0: $tType]:((X0 * list(X0)) > X0)).
% 8.42/2.11  tff(func_def_2622, type, sK2063: !>[X0: $tType]:((list(X0) * list(X0)) > X0)).
% 8.42/2.11  tff(func_def_2623, type, sK2064: !>[X0: $tType]:((list(X0) * list(X0)) > X0)).
% 8.42/2.11  tff(func_def_2624, type, sK2065: !>[X0: $tType]:((fun(X0,$o) * X0) > X0)).
% 8.42/2.11  tff(func_def_2625, type, sK2066: !>[X0: $tType]:((fun(X0,fun(X0,$o))) > X0)).
% 8.42/2.11  tff(func_def_2626, type, sK2067: !>[X0: $tType]:((fun(X0,fun(X0,$o))) > X0)).
% 8.42/2.11  tff(func_def_2627, type, sK2068: !>[X0: $tType]:((fun(X0,fun(X0,$o))) > X0)).
% 8.42/2.11  tff(func_def_2628, type, sK2069: !>[X0: $tType]:((fun(X0,fun(X0,$o))) > X0)).
% 8.42/2.11  tff(func_def_2629, type, sK2070: !>[X0: $tType]:((fun(X0,fun(X0,$o))) > X0)).
% 8.42/2.11  tff(func_def_2630, type, sK2071: !>[X0: $tType]:((fun(X0,fun(X0,$o))) > X0)).
% 8.42/2.11  tff(func_def_2631, type, sK2072: !>[X0: $tType]:((fun(X0,fun(X0,$o))) > X0)).
% 8.42/2.11  tff(func_def_2632, type, sK2073: !>[X0: $tType]:((fun(X0,fun(X0,$o))) > X0)).
% 8.42/2.11  tff(func_def_2633, type, sK2074: !>[X0: $tType]:((fun(X0,fun(X0,$o))) > X0)).
% 8.42/2.11  tff(func_def_2634, type, sK2075: !>[X0: $tType]:((fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o)) > X0)).
% 8.42/2.11  tff(func_def_2635, type, sK2076: !>[X0: $tType]:((fun(X0,$o) * fun(X0,$o) * X0) > X0)).
% 8.42/2.11  tff(func_def_2636, type, sK2077: !>[X0: $tType]:((fun(X0,$o) * fun(X0,$o) * X0) > X0)).
% 8.42/2.11  tff(func_def_2637, type, sK2078: !>[X0: $tType]:((fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o)) > X0)).
% 8.42/2.11  tff(func_def_2638, type, sK2079: !>[X0: $tType]:((fun(X0,$o) * fun(X0,$o) * X0) > X0)).
% 8.42/2.11  tff(func_def_2639, type, sK2080: !>[X0: $tType]:((fun(X0,$o) * fun(X0,$o) * X0) > X0)).
% 8.42/2.11  tff(func_def_2640, type, sK2081: !>[X0: $tType]:((fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o)) > X0)).
% 8.42/2.11  tff(func_def_2641, type, sK2082: !>[X0: $tType]:((fun(X0,$o) * fun(X0,$o) * X0) > X0)).
% 8.42/2.11  tff(func_def_2642, type, sK2083: !>[X0: $tType]:((fun(X0,$o) * fun(X0,$o) * X0) > X0)).
% 8.42/2.11  tff(func_def_2643, type, sK2084: !>[X0: $tType]:((fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o)) > X0)).
% 8.42/2.11  tff(func_def_2644, type, sK2085: !>[X0: $tType]:((fun(X0,$o) * fun(X0,$o) * X0) > X0)).
% 8.42/2.11  tff(func_def_2645, type, sK2086: !>[X0: $tType]:((fun(X0,$o) * fun(X0,$o) * X0) > X0)).
% 8.42/2.11  tff(func_def_2646, type, sK2087: !>[X0: $tType]:((set(X0) * X0 * X0) > X0)).
% 8.42/2.11  tff(func_def_2647, type, sK2088: !>[X0: $tType]:((set(X0) * X0 * X0) > X0)).
% 8.42/2.11  tff(func_def_2648, type, sK2089: !>[X0: $tType]:((set(X0) * set(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_2649, type, sK2090: !>[X0: $tType]:((set(X0) * set(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_2650, type, sK2091: !>[X0: $tType]:((set(X0) * set(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_2651, type, sK2092: !>[X0: $tType]:((set(X0) * set(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_2652, type, sK2093: !>[X0: $tType]:(X0)).
% 8.42/2.11  tff(func_def_2653, type, sK2094: !>[X0: $tType]:(X0)).
% 8.42/2.11  tff(func_def_2654, type, sK2095: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_2655, type, sK2096: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_2656, type, sK2097: !>[X0: $tType]:((fun(X0,X0)) > X0)).
% 8.42/2.11  tff(func_def_2657, type, sK2098: !>[X0: $tType]:((fun(X0,X0)) > X0)).
% 8.42/2.11  tff(func_def_2658, type, sK2099: !>[X0: $tType]:((fun(X0,fun(X0,X0))) > X0)).
% 8.42/2.11  tff(func_def_2659, type, sK2100: !>[X0: $tType]:((fun(X0,fun(X0,X0))) > X0)).
% 8.42/2.11  tff(func_def_2660, type, sK2101: !>[X0: $tType]:((fun(X0,fun(X0,X0))) > X0)).
% 8.42/2.11  tff(func_def_2661, type, sK2102: !>[X0: $tType]:((fun(X0,fun(X0,X0))) > X0)).
% 8.42/2.11  tff(func_def_2662, type, sK2103: !>[X0: $tType]:((fun(X0,fun(X0,X0))) > X0)).
% 8.42/2.11  tff(func_def_2663, type, sK2104: !>[X0: $tType]:((fun(X0,fun(X0,X0))) > X0)).
% 8.42/2.11  tff(func_def_2664, type, sK2105: !>[X0: $tType]:((fun(X0,fun(X0,X0))) > X0)).
% 8.42/2.11  tff(func_def_2665, type, sK2106: !>[X0: $tType]:(X0)).
% 8.42/2.11  tff(func_def_2666, type, sK2107: !>[X0: $tType]:(X0)).
% 8.42/2.11  tff(func_def_2667, type, sK2108: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_2668, type, sK2109: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_2669, type, sK2110: !>[X0: $tType]:((fun(X0,X0)) > X0)).
% 8.42/2.11  tff(func_def_2670, type, sK2111: !>[X0: $tType]:((fun(X0,X0)) > X0)).
% 8.42/2.11  tff(func_def_2671, type, sK2112: !>[X0: $tType]:((fun(X0,fun(X0,X0))) > X0)).
% 8.42/2.11  tff(func_def_2672, type, sK2113: !>[X0: $tType]:((fun(X0,fun(X0,X0))) > X0)).
% 8.42/2.11  tff(func_def_2673, type, sK2114: !>[X0: $tType]:((fun(X0,fun(X0,X0))) > X0)).
% 8.42/2.11  tff(func_def_2674, type, sK2115: !>[X0: $tType]:((fun(X0,fun(X0,X0))) > X0)).
% 8.42/2.11  tff(func_def_2675, type, sK2116: !>[X0: $tType]:((fun(X0,fun(X0,X0))) > X0)).
% 8.42/2.11  tff(func_def_2676, type, sK2117: !>[X0: $tType]:((fun(X0,fun(X0,X0))) > X0)).
% 8.42/2.11  tff(func_def_2677, type, sK2118: !>[X0: $tType]:((fun(X0,fun(X0,X0))) > X0)).
% 8.42/2.11  tff(func_def_2678, type, sK2119: !>[X0: $tType]:((list(X0)) > X0)).
% 8.42/2.11  tff(func_def_2679, type, sK2120: !>[X0: $tType]:((list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_2680, type, sK2121: !>[X0: $tType]:((fun(X0,nat) * fun(X0,nat)) > X0)).
% 8.42/2.11  tff(func_def_2681, type, sK2122: !>[X0: $tType]:((list(X0) * list(X0)) > X0)).
% 8.42/2.11  tff(func_def_2682, type, sK2123: !>[X0: $tType]:((list(X0) * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_2683, type, sK2124: !>[X0: $tType]:((list(X0) * list(X0)) > X0)).
% 8.42/2.11  tff(func_def_2684, type, sK2125: !>[X0: $tType]:((list(X0) * list(X0)) > X0)).
% 8.42/2.11  tff(func_def_2685, type, sK2126: !>[X0: $tType]:((list(X0) * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_2686, type, sK2127: !>[X0: $tType]:((list(X0) * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_2687, type, sK2128: !>[X0: $tType]:((fun(list(X0),fun(list(X0),$o)) * list(X0) * list(X0)) > X0)).
% 8.42/2.11  tff(func_def_2688, type, sK2129: !>[X0: $tType]:((fun(list(X0),fun(list(X0),$o)) * list(X0) * list(X0)) > X0)).
% 8.42/2.11  tff(func_def_2689, type, sK2130: !>[X0: $tType]:((fun(list(X0),fun(list(X0),$o)) * list(X0) * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_2690, type, sK2131: !>[X0: $tType]:((fun(list(X0),fun(list(X0),$o)) * list(X0) * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_2691, type, sK2132: !>[X0: $tType]:((set(X0)) > X0)).
% 8.42/2.11  tff(func_def_2692, type, sK2133: !>[X0: $tType]:((set(X0)) > X0)).
% 8.42/2.11  tff(func_def_2693, type, sK2134: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_2694, type, sK2135: !>[X0: $tType]:((set(X0)) > X0)).
% 8.42/2.11  tff(func_def_2695, type, sK2136: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_2696, type, sK2137: !>[X0: $tType]:((set(X0)) > X0)).
% 8.42/2.11  tff(func_def_2697, type, sK2138: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_2698, type, sK2139: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_2699, type, sK2140: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_2700, type, sK2141: !>[X0: $tType]:((set(X0)) > X0)).
% 8.42/2.11  tff(func_def_2701, type, sK2142: !>[X0: $tType]:((set(X0)) > X0)).
% 8.42/2.11  tff(func_def_2702, type, sK2143: !>[X0: $tType]:((set(X0)) > X0)).
% 8.42/2.11  tff(func_def_2703, type, sK2144: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 8.42/2.11  tff(func_def_2704, type, sK2145: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 8.42/2.11  tff(func_def_2705, type, sK2146: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 8.42/2.11  tff(func_def_2706, type, sK2147: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 8.42/2.11  tff(func_def_2707, type, sK2148: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 8.42/2.11  tff(func_def_2708, type, sK2149: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 8.42/2.11  tff(func_def_2709, type, sK2150: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 8.42/2.11  tff(func_def_2710, type, sK2151: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 8.42/2.11  tff(func_def_2711, type, sK2152: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 8.42/2.11  tff(func_def_2712, type, sK2153: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 8.42/2.11  tff(func_def_2713, type, sK2154: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 8.42/2.11  tff(func_def_2714, type, sK2155: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 8.42/2.11  tff(func_def_2715, type, sK2156: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 8.42/2.11  tff(func_def_2716, type, sK2157: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 8.42/2.11  tff(func_def_2717, type, sK2158: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 8.42/2.11  tff(func_def_2718, type, sK2159: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 8.42/2.11  tff(func_def_2719, type, sK2160: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 8.42/2.11  tff(func_def_2720, type, sK2161: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 8.42/2.11  tff(func_def_2721, type, sK2162: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 8.42/2.11  tff(func_def_2722, type, sK2163: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 8.42/2.11  tff(func_def_2723, type, sK2164: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 8.42/2.11  tff(func_def_2724, type, sK2165: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 8.42/2.11  tff(func_def_2725, type, sK2166: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_2726, type, sK2167: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_2727, type, sK2168: !>[X0: $tType]:((fun(X0,$o) * X0) > X0)).
% 8.42/2.11  tff(func_def_2728, type, sK2169: !>[X0: $tType]:((X0 * X0) > X0)).
% 8.42/2.11  tff(func_def_2729, type, sK2170: !>[X0: $tType]:((X0 * X0) > X0)).
% 8.42/2.11  tff(func_def_2730, type, sK2171: !>[X0: $tType]:((fun(X0,$o) * X0) > X0)).
% 8.42/2.11  tff(func_def_2731, type, sK2172: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 8.42/2.11  tff(func_def_2732, type, sK2173: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 8.42/2.11  tff(func_def_2733, type, sK2174: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 8.42/2.11  tff(func_def_2734, type, sK2175: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 8.42/2.11  tff(func_def_2735, type, sK2176: !>[X0: $tType]:((fun(X0,$o) * fun(X0,$o)) > X0)).
% 8.42/2.11  tff(func_def_2736, type, sK2177: !>[X0: $tType]:((fun(X0,$o) * X0) > X0)).
% 8.42/2.11  tff(func_def_2737, type, sK2178: num > num).
% 8.42/2.11  tff(func_def_2738, type, sK2179: num > num).
% 8.42/2.11  tff(func_def_2739, type, sK2180: fun(nat,real) > nat).
% 8.42/2.11  tff(func_def_2740, type, sK2181: set(nat) > fun(nat,nat)).
% 8.42/2.11  tff(func_def_2741, type, sK2182: set(nat) > nat).
% 8.42/2.11  tff(func_def_2742, type, sK2183: int > nat).
% 8.42/2.11  tff(func_def_2743, type, sK2184: int > nat).
% 8.42/2.11  tff(func_def_2744, type, sK2185: nat > nat).
% 8.42/2.11  tff(func_def_2745, type, sK2186: nat > nat).
% 8.42/2.11  tff(func_def_2746, type, sK2187: nat > nat).
% 8.42/2.11  tff(func_def_2747, type, sK2188: vEBT_VEBT > $o).
% 8.42/2.11  tff(func_def_2748, type, sK2189: vEBT_VEBT > $o).
% 8.42/2.11  tff(func_def_2749, type, sK2190: complex > real).
% 8.42/2.11  tff(func_def_2750, type, sK2191: fun(nat,real) > nat).
% 8.42/2.11  tff(func_def_2751, type, sK2192: fun(nat,real) > nat).
% 8.42/2.11  tff(func_def_2752, type, sK2193: fun(nat,real) > nat).
% 8.42/2.11  tff(func_def_2753, type, sK2194: fun(nat,real) > nat).
% 8.42/2.11  tff(func_def_2754, type, sK2195: fun(nat,real) > nat).
% 8.42/2.11  tff(func_def_2755, type, sK2196: fun(nat,real) > nat).
% 8.42/2.11  tff(func_def_2756, type, sK2197: fun(nat,real) > fun(nat,int)).
% 8.42/2.11  tff(func_def_2757, type, sK2198: product_prod(num,num) > num).
% 8.42/2.11  tff(func_def_2758, type, sK2199: product_prod(num,num) > num).
% 8.42/2.11  tff(func_def_2759, type, sK2200: product_prod(num,num) > num).
% 8.42/2.11  tff(func_def_2760, type, sK2201: product_prod(num,num) > num).
% 8.42/2.11  tff(func_def_2761, type, sK2202: product_prod(num,num) > num).
% 8.42/2.11  tff(func_def_2762, type, sK2203: product_prod(num,num) > num).
% 8.42/2.11  tff(func_def_2763, type, sK2204: product_prod(num,num) > num).
% 8.42/2.11  tff(func_def_2764, type, sK2205: product_prod(num,num) > num).
% 8.42/2.11  tff(func_def_2765, type, sK2206: product_prod(num,num) > num).
% 8.42/2.11  tff(func_def_2766, type, sK2207: product_prod(num,num) > num).
% 8.42/2.11  tff(func_def_2767, type, sK2208: product_prod(num,num) > num).
% 8.42/2.11  tff(func_def_2768, type, sK2209: product_prod(num,num) > num).
% 8.42/2.11  tff(func_def_2769, type, sK2210: vEBT_VEBT > product_prod(nat,nat)).
% 8.42/2.11  tff(func_def_2770, type, sK2211: vEBT_VEBT > nat).
% 8.42/2.11  tff(func_def_2771, type, sK2212: vEBT_VEBT > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_2772, type, sK2213: vEBT_VEBT > vEBT_VEBT).
% 8.42/2.11  tff(func_def_2773, type, sK2214: vEBT_VEBT > nat).
% 8.42/2.11  tff(func_def_2774, type, sK2215: vEBT_VEBT > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_2775, type, sK2216: vEBT_VEBT > vEBT_VEBT).
% 8.42/2.11  tff(func_def_2776, type, sK2217: vEBT_VEBT > $o).
% 8.42/2.11  tff(func_def_2777, type, sK2218: vEBT_VEBT > $o).
% 8.42/2.11  tff(func_def_2778, type, sK2219: !>[X0: $tType]:((fun(nat,X0) * fun(nat,real) * nat) > nat)).
% 8.42/2.11  tff(func_def_2779, type, sK2220: !>[X0: $tType]:((fun(nat,X0) * fun(nat,real) * nat) > nat)).
% 8.42/2.11  tff(func_def_2780, type, sK2221: !>[X0: $tType]:((fun(X0,$o) * X0 * X0) > fun(nat,X0))).
% 8.42/2.11  tff(func_def_2781, type, sK2222: !>[X0: $tType]:((fun(X0,$o) * X0 * X0) > fun(nat,X0))).
% 8.42/2.11  tff(func_def_2782, type, sK2223: !>[X0: $tType]:((set(X0)) > fun(nat,X0))).
% 8.42/2.11  tff(func_def_2783, type, sK2224: !>[X0: $tType]:((fun(nat,X0) * set(X0)) > nat)).
% 8.42/2.11  tff(func_def_2784, type, sK2225: !>[X0: $tType]:((fun(nat,X0) * set(X0)) > nat)).
% 8.42/2.11  tff(func_def_2785, type, sK2226: !>[X0: $tType]:((X0) > fun(nat,X0))).
% 8.42/2.11  tff(func_def_2786, type, sK2227: !>[X0: $tType]:((X0) > fun(nat,X0))).
% 8.42/2.11  tff(func_def_2787, type, sK2228: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 8.42/2.11  tff(func_def_2788, type, sK2229: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 8.42/2.11  tff(func_def_2789, type, sK2230: !>[X0: $tType]:((fun(nat,X0) * nat) > X0)).
% 8.42/2.11  tff(func_def_2790, type, sK2231: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 8.42/2.11  tff(func_def_2791, type, sK2232: !>[X0: $tType]:((fun(nat,X0) * nat * X0) > X0)).
% 8.42/2.11  tff(func_def_2792, type, sK2233: !>[X0: $tType]:((fun(nat,X0) * nat * fun(nat,X0)) > nat)).
% 8.42/2.11  tff(func_def_2793, type, sK2234: !>[X0: $tType]:((fun(nat,X0) * nat * fun(nat,X0)) > X0)).
% 8.42/2.11  tff(func_def_2794, type, sK2235: !>[X0: $tType]:((fun(X0,$o) * X0 * X0) > X0)).
% 8.42/2.11  tff(func_def_2795, type, sK2236: !>[X0: $tType]:((fun(X0,$o) * X0) > X0)).
% 8.42/2.11  tff(func_def_2796, type, sK2237: !>[X0: $tType]:((fun(X0,$o) * X0 * X0) > X0)).
% 8.42/2.11  tff(func_def_2797, type, sK2238: !>[X0: $tType]:((fun(X0,$o) * X0) > X0)).
% 8.42/2.11  tff(func_def_2798, type, sK2239: !>[X0: $tType]:((fun(nat,X0)) > X0)).
% 8.42/2.11  tff(func_def_2799, type, sK2240: !>[X0: $tType]:((fun(nat,X0)) > X0)).
% 8.42/2.11  tff(func_def_2800, type, sK2241: !>[X0: $tType]:((fun(nat,X0)) > X0)).
% 8.42/2.11  tff(func_def_2801, type, sK2242: !>[X0: $tType]:((real * fun(nat,X0)) > X0)).
% 8.42/2.11  tff(func_def_2802, type, sK2243: !>[X0: $tType]:((real * fun(nat,X0) * fun(X0,X0)) > X0)).
% 8.42/2.11  tff(func_def_2803, type, sK2244: !>[X0: $tType]:((real * fun(nat,X0) * fun(X0,X0)) > X0)).
% 8.42/2.11  tff(func_def_2804, type, sK2245: !>[X0: $tType]:((real * fun(nat,X0)) > X0)).
% 8.42/2.11  tff(func_def_2805, type, sK2246: !>[X0: $tType]:((real * fun(nat,X0) * fun(X0,X0)) > X0)).
% 8.42/2.11  tff(func_def_2806, type, sK2247: !>[X0: $tType]:((X0) > X0)).
% 8.42/2.11  tff(func_def_2807, type, sK2248: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 8.42/2.11  tff(func_def_2808, type, sK2249: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 8.42/2.11  tff(func_def_2809, type, sK2250: !>[X0: $tType]:((X0 * fun(X0,$o)) > X0)).
% 8.42/2.11  tff(func_def_2810, type, sK2251: !>[X0: $tType]:((X0 * fun(X0,$o)) > X0)).
% 8.42/2.11  tff(func_def_2811, type, sK2252: !>[X0: $tType]:((fun(X0,$o) * X0) > X0)).
% 8.42/2.11  tff(func_def_2812, type, sK2253: !>[X0: $tType]:((fun(X0,$o) * X0) > X0)).
% 8.42/2.11  tff(func_def_2813, type, sK2254: !>[X0: $tType]:((X0 * fun(X0,$o)) > X0)).
% 8.42/2.11  tff(func_def_2814, type, sK2255: !>[X0: $tType]:((X0 * fun(X0,$o)) > X0)).
% 8.42/2.11  tff(func_def_2815, type, sK2256: !>[X0: $tType]:((fun(X0,$o) * X0) > X0)).
% 8.42/2.11  tff(func_def_2816, type, sK2257: !>[X0: $tType]:((fun(X0,$o) * X0) > X0)).
% 8.42/2.11  tff(func_def_2817, type, sK2258: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_2818, type, sK2259: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_2819, type, sK2260: !>[X0: $tType]:((set(X0) * X0 * X0) > X0)).
% 8.42/2.11  tff(func_def_2820, type, sK2261: !>[X0: $tType]:((set(X0) * X0 * X0) > X0)).
% 8.42/2.11  tff(func_def_2821, type, sK2262: !>[X0: $tType]:((fun(nat,X0) * X0) > nat)).
% 8.42/2.11  tff(func_def_2822, type, sK2263: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 8.42/2.11  tff(func_def_2823, type, sK2264: !>[X0: $tType]:((fun(nat,X0) * X0) > nat)).
% 8.42/2.11  tff(func_def_2824, type, sK2265: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 8.42/2.11  tff(func_def_2825, type, sK2266: !>[X0: $tType]:((fun(X0,$o) * X0) > X0)).
% 8.42/2.11  tff(func_def_2826, type, sK2267: !>[X0: $tType]:((fun(X0,$o)) > X0)).
% 8.42/2.11  tff(func_def_2827, type, sK2268: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 8.42/2.11  tff(func_def_2828, type, sK2269: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 8.42/2.11  tff(func_def_2829, type, sK2270: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 8.42/2.11  tff(func_def_2830, type, sK2271: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 8.42/2.11  tff(func_def_2831, type, sK2272: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 8.42/2.11  tff(func_def_2832, type, sK2273: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 8.42/2.11  tff(func_def_2833, type, sK2274: !>[X0: $tType]:((fun(nat,X0) * set(nat)) > nat)).
% 8.42/2.11  tff(func_def_2834, type, sK2275: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 8.42/2.11  tff(func_def_2835, type, sK2276: !>[X0: $tType]:((fun(nat,X0) * X0) > nat)).
% 8.42/2.11  tff(func_def_2836, type, sK2277: !>[X0: $tType]:((fun(nat,X0) * fun(nat,X0)) > nat)).
% 8.42/2.11  tff(func_def_2837, type, sK2278: !>[X0: $tType]:((fun(nat,X0) * fun(nat,X0)) > nat)).
% 8.42/2.11  tff(func_def_2838, type, sK2279: !>[X0: $tType]:((fun(nat,X0) * nat) > X0)).
% 8.42/2.11  tff(func_def_2839, type, sK2280: !>[X0: $tType]:((fun(X0,$o) * X0) > X0)).
% 8.42/2.11  tff(func_def_2840, type, sK2281: !>[X0: $tType]:((fun(X0,$o) * X0) > X0)).
% 8.42/2.11  tff(func_def_2841, type, sK2282: !>[X0: $tType]:((X0 * X0) > X0)).
% 8.42/2.11  tff(func_def_2842, type, sK2283: !>[X0: $tType]:((X0 * X0) > X0)).
% 8.42/2.11  tff(func_def_2843, type, sK2284: !>[X0: $tType]:((X0 * X0) > X0)).
% 8.42/2.11  tff(func_def_2844, type, sK2285: !>[X0: $tType]:((X0 * X0) > X0)).
% 8.42/2.11  tff(func_def_2845, type, sK2286: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_2846, type, sK2287: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_2847, type, sK2288: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_2848, type, sK2289: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_2849, type, sK2290: !>[X0: $tType]:((fun(X0,$o) * X0) > X0)).
% 8.42/2.11  tff(func_def_2850, type, sK2291: !>[X0: $tType]:((fun(X0,$o)) > X0)).
% 8.42/2.11  tff(func_def_2851, type, sK2292: !>[X0: $tType]:((fun(X0,$o) * X0) > X0)).
% 8.42/2.11  tff(func_def_2852, type, sK2293: !>[X0: $tType]:((fun(X0,$o)) > X0)).
% 8.42/2.11  tff(func_def_2853, type, sK2294: !>[X0: $tType]:((X0 * X0 * fun(X0,X0)) > X0)).
% 8.42/2.11  tff(func_def_2854, type, sK2295: int > nat).
% 8.42/2.11  tff(func_def_2855, type, sK2296: int > nat).
% 8.42/2.11  tff(func_def_2856, type, sK2297: nat > nat).
% 8.42/2.11  tff(func_def_2857, type, sK2298: nat > nat).
% 8.42/2.11  tff(func_def_2858, type, sK2299: fun(nat,real) > real).
% 8.42/2.11  tff(func_def_2859, type, sK2300: (fun(nat,real) * nat) > nat).
% 8.42/2.11  tff(func_def_2860, type, sK2301: fun(nat,real) > real).
% 8.42/2.11  tff(func_def_2861, type, sK2302: fun(nat,real) > nat).
% 8.42/2.11  tff(func_def_2862, type, sK2303: fun(nat,real) > nat).
% 8.42/2.11  tff(func_def_2863, type, sK2304: vEBT_VEBT > nat).
% 8.42/2.11  tff(func_def_2864, type, sK2305: vEBT_VEBT > nat).
% 8.42/2.11  tff(func_def_2865, type, sK2306: vEBT_VEBT > nat).
% 8.42/2.11  tff(func_def_2866, type, sK2307: vEBT_VEBT > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_2867, type, sK2308: vEBT_VEBT > vEBT_VEBT).
% 8.42/2.11  tff(func_def_2868, type, sK2309: vEBT_VEBT > nat).
% 8.42/2.11  tff(func_def_2869, type, sK2310: vEBT_VEBT > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_2870, type, sK2311: vEBT_VEBT > vEBT_VEBT).
% 8.42/2.11  tff(func_def_2871, type, sK2312: vEBT_VEBT > $o).
% 8.42/2.11  tff(func_def_2872, type, sK2313: vEBT_VEBT > $o).
% 8.42/2.11  tff(func_def_2873, type, sK2314: product_prod(vEBT_VEBT,nat) > nat).
% 8.42/2.11  tff(func_def_2874, type, sK2315: product_prod(vEBT_VEBT,nat) > nat).
% 8.42/2.11  tff(func_def_2875, type, sK2316: product_prod(vEBT_VEBT,nat) > nat).
% 8.42/2.11  tff(func_def_2876, type, sK2317: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_2877, type, sK2318: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_2878, type, sK2319: product_prod(vEBT_VEBT,nat) > nat).
% 8.42/2.11  tff(func_def_2879, type, sK2320: product_prod(vEBT_VEBT,nat) > product_prod(nat,nat)).
% 8.42/2.11  tff(func_def_2880, type, sK2321: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_2881, type, sK2322: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_2882, type, sK2323: product_prod(vEBT_VEBT,nat) > nat).
% 8.42/2.11  tff(func_def_2883, type, sK2324: product_prod(vEBT_VEBT,nat) > product_prod(nat,nat)).
% 8.42/2.11  tff(func_def_2884, type, sK2325: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_2885, type, sK2326: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_2886, type, sK2327: product_prod(vEBT_VEBT,nat) > nat).
% 8.42/2.11  tff(func_def_2887, type, sK2328: product_prod(vEBT_VEBT,nat) > nat).
% 8.42/2.11  tff(func_def_2888, type, sK2329: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_2889, type, sK2330: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_2890, type, sK2331: product_prod(vEBT_VEBT,nat) > nat).
% 8.42/2.11  tff(func_def_2891, type, sK2332: product_prod(vEBT_VEBT,nat) > $o).
% 8.42/2.11  tff(func_def_2892, type, sK2333: product_prod(vEBT_VEBT,nat) > $o).
% 8.42/2.11  tff(func_def_2893, type, sK2334: product_prod(vEBT_VEBT,nat) > nat).
% 8.42/2.11  tff(func_def_2894, type, sK2335: product_prod(vEBT_VEBT,nat) > $o).
% 8.42/2.11  tff(func_def_2895, type, sK2336: product_prod(vEBT_VEBT,nat) > $o).
% 8.42/2.11  tff(func_def_2896, type, sK2337: product_prod(vEBT_VEBT,nat) > $o).
% 8.42/2.11  tff(func_def_2897, type, sK2338: product_prod(vEBT_VEBT,nat) > $o).
% 8.42/2.11  tff(func_def_2898, type, sK2339: set(nat) > nat).
% 8.42/2.11  tff(func_def_2899, type, sK2340: set(nat) > nat).
% 8.42/2.11  tff(func_def_2900, type, sK2341: product_prod(vEBT_VEBT,nat) > nat).
% 8.42/2.11  tff(func_def_2901, type, sK2342: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_2902, type, sK2343: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_2903, type, sK2344: product_prod(vEBT_VEBT,nat) > nat).
% 8.42/2.11  tff(func_def_2904, type, sK2345: product_prod(vEBT_VEBT,nat) > nat).
% 8.42/2.11  tff(func_def_2905, type, sK2346: product_prod(vEBT_VEBT,nat) > nat).
% 8.42/2.11  tff(func_def_2906, type, sK2347: product_prod(vEBT_VEBT,nat) > nat).
% 8.42/2.11  tff(func_def_2907, type, sK2348: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_2908, type, sK2349: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_2909, type, sK2350: product_prod(vEBT_VEBT,nat) > nat).
% 8.42/2.11  tff(func_def_2910, type, sK2351: product_prod(vEBT_VEBT,nat) > nat).
% 8.42/2.11  tff(func_def_2911, type, sK2352: product_prod(vEBT_VEBT,nat) > nat).
% 8.42/2.11  tff(func_def_2912, type, sK2353: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_2913, type, sK2354: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_2914, type, sK2355: product_prod(vEBT_VEBT,nat) > nat).
% 8.42/2.11  tff(func_def_2915, type, sK2356: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_2916, type, sK2357: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_2917, type, sK2358: product_prod(vEBT_VEBT,nat) > nat).
% 8.42/2.11  tff(func_def_2918, type, sK2359: product_prod(vEBT_VEBT,nat) > $o).
% 8.42/2.11  tff(func_def_2919, type, sK2360: product_prod(vEBT_VEBT,nat) > $o).
% 8.42/2.11  tff(func_def_2920, type, sK2361: product_prod(vEBT_VEBT,nat) > nat).
% 8.42/2.11  tff(func_def_2921, type, sK2362: product_prod(vEBT_VEBT,nat) > nat).
% 8.42/2.11  tff(func_def_2922, type, sK2363: product_prod(vEBT_VEBT,nat) > nat).
% 8.42/2.11  tff(func_def_2923, type, sK2364: product_prod(vEBT_VEBT,nat) > nat).
% 8.42/2.11  tff(func_def_2924, type, sK2365: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_2925, type, sK2366: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_2926, type, sK2367: product_prod(vEBT_VEBT,nat) > nat).
% 8.42/2.11  tff(func_def_2927, type, sK2368: product_prod(vEBT_VEBT,nat) > nat).
% 8.42/2.11  tff(func_def_2928, type, sK2369: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_2929, type, sK2370: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_2930, type, sK2371: product_prod(vEBT_VEBT,nat) > nat).
% 8.42/2.11  tff(func_def_2931, type, sK2372: product_prod(vEBT_VEBT,nat) > option(product_prod(nat,nat))).
% 8.42/2.11  tff(func_def_2932, type, sK2373: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_2933, type, sK2374: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_2934, type, sK2375: product_prod(vEBT_VEBT,nat) > nat).
% 8.42/2.11  tff(func_def_2935, type, sK2376: product_prod(vEBT_VEBT,nat) > option(product_prod(nat,nat))).
% 8.42/2.11  tff(func_def_2936, type, sK2377: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_2937, type, sK2378: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_2938, type, sK2379: product_prod(vEBT_VEBT,nat) > nat).
% 8.42/2.11  tff(func_def_2939, type, sK2380: product_prod(vEBT_VEBT,nat) > $o).
% 8.42/2.11  tff(func_def_2940, type, sK2381: product_prod(vEBT_VEBT,nat) > $o).
% 8.42/2.11  tff(func_def_2941, type, sK2382: product_prod(vEBT_VEBT,nat) > nat).
% 8.42/2.11  tff(func_def_2942, type, sK2383: product_prod(vEBT_VEBT,nat) > option(product_prod(nat,nat))).
% 8.42/2.11  tff(func_def_2943, type, sK2384: product_prod(vEBT_VEBT,nat) > nat).
% 8.42/2.11  tff(func_def_2944, type, sK2385: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_2945, type, sK2386: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_2946, type, sK2387: product_prod(vEBT_VEBT,nat) > nat).
% 8.42/2.11  tff(func_def_2947, type, sK2388: product_prod(vEBT_VEBT,nat) > option(product_prod(nat,nat))).
% 8.42/2.11  tff(func_def_2948, type, sK2389: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_2949, type, sK2390: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_2950, type, sK2391: product_prod(vEBT_VEBT,nat) > nat).
% 8.42/2.11  tff(func_def_2951, type, sK2392: product_prod(vEBT_VEBT,nat) > $o).
% 8.42/2.11  tff(func_def_2952, type, sK2393: product_prod(vEBT_VEBT,nat) > $o).
% 8.42/2.11  tff(func_def_2953, type, sK2394: product_prod(vEBT_VEBT,nat) > nat).
% 8.42/2.11  tff(func_def_2954, type, sK2395: product_prod(vEBT_VEBT,nat) > nat).
% 8.42/2.11  tff(func_def_2955, type, sK2396: product_prod(vEBT_VEBT,nat) > nat).
% 8.42/2.11  tff(func_def_2956, type, sK2397: product_prod(vEBT_VEBT,nat) > nat).
% 8.42/2.11  tff(func_def_2957, type, sK2398: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_2958, type, sK2399: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_2959, type, sK2400: product_prod(vEBT_VEBT,nat) > nat).
% 8.42/2.11  tff(func_def_2960, type, sK2401: product_prod(vEBT_VEBT,nat) > product_prod(nat,nat)).
% 8.42/2.11  tff(func_def_2961, type, sK2402: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_2962, type, sK2403: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_2963, type, sK2404: product_prod(vEBT_VEBT,nat) > nat).
% 8.42/2.11  tff(func_def_2964, type, sK2405: product_prod(vEBT_VEBT,nat) > product_prod(nat,nat)).
% 8.42/2.11  tff(func_def_2965, type, sK2406: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_2966, type, sK2407: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_2967, type, sK2408: product_prod(vEBT_VEBT,nat) > nat).
% 8.42/2.11  tff(func_def_2968, type, sK2409: product_prod(vEBT_VEBT,nat) > nat).
% 8.42/2.11  tff(func_def_2969, type, sK2410: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_2970, type, sK2411: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_2971, type, sK2412: product_prod(vEBT_VEBT,nat) > nat).
% 8.42/2.11  tff(func_def_2972, type, sK2413: product_prod(vEBT_VEBT,nat) > $o).
% 8.42/2.11  tff(func_def_2973, type, sK2414: product_prod(vEBT_VEBT,nat) > $o).
% 8.42/2.11  tff(func_def_2974, type, sK2415: product_prod(vEBT_VEBT,nat) > nat).
% 8.42/2.11  tff(func_def_2975, type, sK2416: product_prod(vEBT_VEBT,nat) > option(product_prod(nat,nat))).
% 8.42/2.11  tff(func_def_2976, type, sK2417: product_prod(vEBT_VEBT,nat) > nat).
% 8.42/2.11  tff(func_def_2977, type, sK2418: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_2978, type, sK2419: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_2979, type, sK2420: product_prod(vEBT_VEBT,nat) > nat).
% 8.42/2.11  tff(func_def_2980, type, sK2421: product_prod(vEBT_VEBT,nat) > $o).
% 8.42/2.11  tff(func_def_2981, type, sK2422: product_prod(vEBT_VEBT,nat) > $o).
% 8.42/2.11  tff(func_def_2982, type, sK2423: product_prod(vEBT_VEBT,nat) > nat).
% 8.42/2.11  tff(func_def_2983, type, sK2424: vEBT_VEBT > $o).
% 8.42/2.11  tff(func_def_2984, type, sK2425: vEBT_VEBT > $o).
% 8.42/2.11  tff(func_def_2985, type, sK2426: vEBT_VEBT > option(product_prod(nat,nat))).
% 8.42/2.11  tff(func_def_2986, type, sK2427: vEBT_VEBT > nat).
% 8.42/2.11  tff(func_def_2987, type, sK2428: vEBT_VEBT > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_2988, type, sK2429: vEBT_VEBT > vEBT_VEBT).
% 8.42/2.11  tff(func_def_2989, type, sK2430: set(real) > real).
% 8.42/2.11  tff(func_def_2990, type, sK2431: (set(real) * real) > real).
% 8.42/2.11  tff(func_def_2991, type, sK2432: (set(real) * real) > real).
% 8.42/2.11  tff(func_def_2992, type, sK2433: rat > rat).
% 8.42/2.11  tff(func_def_2993, type, sK2434: rat > rat).
% 8.42/2.11  tff(func_def_2994, type, sK2435: int > nat).
% 8.42/2.11  tff(func_def_2995, type, sK2436: int > nat).
% 8.42/2.11  tff(func_def_2996, type, sK2437: int > nat).
% 8.42/2.11  tff(func_def_2997, type, sK2438: int > nat).
% 8.42/2.11  tff(func_def_2998, type, sK2439: int > nat).
% 8.42/2.11  tff(func_def_2999, type, sK2440: int > nat).
% 8.42/2.11  tff(func_def_3000, type, sK2441: (real * real) > nat).
% 8.42/2.11  tff(func_def_3001, type, sK2442: real > real).
% 8.42/2.11  tff(func_def_3002, type, sK2443: real > real).
% 8.42/2.11  tff(func_def_3003, type, sK2444: real > nat).
% 8.42/2.11  tff(func_def_3004, type, sK2445: real > nat).
% 8.42/2.11  tff(func_def_3005, type, sK2446: real > real).
% 8.42/2.11  tff(func_def_3006, type, sK2447: nat > nat).
% 8.42/2.11  tff(func_def_3007, type, sK2448: real > real).
% 8.42/2.11  tff(func_def_3008, type, sK2449: real > real).
% 8.42/2.11  tff(func_def_3009, type, sK2450: real > real).
% 8.42/2.11  tff(func_def_3010, type, sK2451: nat > nat).
% 8.42/2.11  tff(func_def_3011, type, sK2452: set(int) > int).
% 8.42/2.11  tff(func_def_3012, type, sK2453: (set(int) * int) > int).
% 8.42/2.11  tff(func_def_3013, type, sK2454: set(nat) > nat).
% 8.42/2.11  tff(func_def_3014, type, sK2455: (set(nat) * nat) > nat).
% 8.42/2.11  tff(func_def_3015, type, sK2456: set(nat) > nat).
% 8.42/2.11  tff(func_def_3016, type, sK2457: (set(nat) * nat) > nat).
% 8.42/2.11  tff(func_def_3017, type, sK2458: fun(nat,real) > nat).
% 8.42/2.11  tff(func_def_3018, type, sK2459: (fun(nat,real) * nat) > nat).
% 8.42/2.11  tff(func_def_3019, type, sK2460: (fun(nat,real) * nat) > nat).
% 8.42/2.11  tff(func_def_3020, type, sK2461: (fun(nat,real) * nat) > nat).
% 8.42/2.11  tff(func_def_3021, type, sK2462: set(int) > int).
% 8.42/2.11  tff(func_def_3022, type, sK2463: set(int) > int).
% 8.42/2.11  tff(func_def_3023, type, sK2464: (set(nat) * nat) > nat).
% 8.42/2.11  tff(func_def_3024, type, sK2465: set(nat) > nat).
% 8.42/2.11  tff(func_def_3025, type, sK2466: (set(nat) * nat) > nat).
% 8.42/2.11  tff(func_def_3026, type, sK2467: set(nat) > nat).
% 8.42/2.11  tff(func_def_3027, type, sK2468: set(nat) > nat).
% 8.42/2.11  tff(func_def_3028, type, sK2469: set(nat) > nat).
% 8.42/2.11  tff(func_def_3029, type, sK2470: vEBT_VEBT > $o).
% 8.42/2.11  tff(func_def_3030, type, sK2471: vEBT_VEBT > $o).
% 8.42/2.11  tff(func_def_3031, type, sK2472: (fun(real,real) * real) > real).
% 8.42/2.11  tff(func_def_3032, type, sK2473: fun(real,real) > real).
% 8.42/2.11  tff(func_def_3033, type, sK2474: (fun(nat,$o) * nat) > nat).
% 8.42/2.11  tff(func_def_3034, type, sK2475: fun(nat,$o) > nat).
% 8.42/2.11  tff(func_def_3035, type, sK2476: real > nat).
% 8.42/2.11  tff(func_def_3036, type, sK2477: real > nat).
% 8.42/2.11  tff(func_def_3037, type, sK2478: real > int).
% 8.42/2.11  tff(func_def_3038, type, sK2479: real > nat).
% 8.42/2.11  tff(func_def_3039, type, sK2480: real > nat).
% 8.42/2.11  tff(func_def_3040, type, sK2481: real > int).
% 8.42/2.11  tff(func_def_3041, type, sK2482: real > int).
% 8.42/2.11  tff(func_def_3042, type, sK2483: real > nat).
% 8.42/2.11  tff(func_def_3043, type, sK2484: real > nat).
% 8.42/2.11  tff(func_def_3044, type, sK2485: real > int).
% 8.42/2.11  tff(func_def_3045, type, sK2486: fun(nat,$o) > int).
% 8.42/2.11  tff(func_def_3046, type, sK2487: fun(nat,$o) > nat).
% 8.42/2.11  tff(func_def_3047, type, sK2488: fun(nat,$o) > nat).
% 8.42/2.11  tff(func_def_3048, type, sK2489: fun(nat,$o) > int).
% 8.42/2.11  tff(func_def_3049, type, sK2490: real > int).
% 8.42/2.11  tff(func_def_3050, type, sK2491: real > int).
% 8.42/2.11  tff(func_def_3051, type, sK2492: real > int).
% 8.42/2.11  tff(func_def_3052, type, sK2493: real > nat).
% 8.42/2.11  tff(func_def_3053, type, sK2494: real > nat).
% 8.42/2.11  tff(func_def_3054, type, sK2495: nat > nat).
% 8.42/2.11  tff(func_def_3055, type, sK2496: filter(nat) > nat).
% 8.42/2.11  tff(func_def_3056, type, sK2497: real > int).
% 8.42/2.11  tff(func_def_3057, type, sK2498: int > nat).
% 8.42/2.11  tff(func_def_3058, type, sK2499: product_prod(nat,nat) > nat).
% 8.42/2.11  tff(func_def_3059, type, sK2500: product_prod(nat,nat) > nat).
% 8.42/2.11  tff(func_def_3060, type, sK2501: int > nat).
% 8.42/2.11  tff(func_def_3061, type, sK2502: int > nat).
% 8.42/2.11  tff(func_def_3062, type, sK2503: int > nat).
% 8.42/2.11  tff(func_def_3063, type, sK2504: int > int).
% 8.42/2.11  tff(func_def_3064, type, sK2505: int > nat).
% 8.42/2.11  tff(func_def_3065, type, sK2506: int > nat).
% 8.42/2.11  tff(func_def_3066, type, sK2507: real > real).
% 8.42/2.11  tff(func_def_3067, type, sK2508: real > real).
% 8.42/2.11  tff(func_def_3068, type, sK2509: real > real).
% 8.42/2.11  tff(func_def_3069, type, sK2510: real > real).
% 8.42/2.11  tff(func_def_3070, type, sK2511: real > real).
% 8.42/2.11  tff(func_def_3071, type, sK2512: complex > complex).
% 8.42/2.11  tff(func_def_3072, type, sK2513: complex > real).
% 8.42/2.11  tff(func_def_3073, type, sK2514: complex > real).
% 8.42/2.11  tff(func_def_3074, type, sK2515: complex > real).
% 8.42/2.11  tff(func_def_3075, type, sK2516: !>[X0: $tType]:((fun(X0,$o)) > X0)).
% 8.42/2.11  tff(func_def_3076, type, sK2517: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * filter(X1)) > X0)).
% 8.42/2.11  tff(func_def_3077, type, sK2518: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * filter(X1) * X0) > X0)).
% 8.42/2.11  tff(func_def_3078, type, sK2519: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * filter(X1) * X0) > X0)).
% 8.42/2.11  tff(func_def_3079, type, sK2520: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * set(X0)) > X1)).
% 8.42/2.11  tff(func_def_3080, type, sK2521: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * set(X0) * X1) > X0)).
% 8.42/2.11  tff(func_def_3081, type, sK2522: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1)) > X0)).
% 8.42/2.11  tff(func_def_3082, type, sK2523: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * X0) > X1)).
% 8.42/2.11  tff(func_def_3083, type, sK2524: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,X0) * set(X1)) > X1)).
% 8.42/2.11  tff(func_def_3084, type, sK2525: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,X0) * set(X1)) > X0)).
% 8.42/2.11  tff(func_def_3085, type, sK2526: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * X0) > X1)).
% 8.42/2.11  tff(func_def_3086, type, sK2527: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * set(X0) * X1) > X0)).
% 8.42/2.11  tff(func_def_3087, type, sK2528: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * set(X0) * X1) > X1)).
% 8.42/2.11  tff(func_def_3088, type, sK2529: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * set(X0) * X1) > X0)).
% 8.42/2.11  tff(func_def_3089, type, sK2530: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * filter(X1)) > X0)).
% 8.42/2.11  tff(func_def_3090, type, sK2531: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * filter(X1)) > real)).
% 8.42/2.11  tff(func_def_3091, type, sK2532: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * X1 * set(X1) * real * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3092, type, sK2533: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1) * X1) > X0)).
% 8.42/2.11  tff(func_def_3093, type, sK2534: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > real)).
% 8.42/2.11  tff(func_def_3094, type, sK2535: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * nat) > X0)).
% 8.42/2.11  tff(func_def_3095, type, sK2536: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > nat)).
% 8.42/2.11  tff(func_def_3096, type, sK2537: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * real) > X0)).
% 8.42/2.11  tff(func_def_3097, type, sK2538: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > real)).
% 8.42/2.11  tff(func_def_3098, type, sK2539: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * nat) > X0)).
% 8.42/2.11  tff(func_def_3099, type, sK2540: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > nat)).
% 8.42/2.11  tff(func_def_3100, type, sK2541: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * real) > X0)).
% 8.42/2.11  tff(func_def_3101, type, sK2542: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * filter(X1)) > real)).
% 8.42/2.11  tff(func_def_3102, type, sK2543: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * filter(X1)) > real)).
% 8.42/2.11  tff(func_def_3103, type, sK2544: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * real) > X1)).
% 8.42/2.11  tff(func_def_3104, type, sK2545: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * fun(X1,real)) > X1)).
% 8.42/2.11  tff(func_def_3105, type, sK2546: !>[X0: $tType, X1: $tType]:((real * fun(X1,X0) * filter(X1)) > real)).
% 8.42/2.11  tff(func_def_3106, type, sK2547: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X1,$o)) > X1)).
% 8.42/2.11  tff(func_def_3107, type, sK2548: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X1,$o)) > X1)).
% 8.42/2.11  tff(func_def_3108, type, sK2549: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3109, type, sK2550: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3110, type, sK2551: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * X0 * filter(X1)) > X0)).
% 8.42/2.11  tff(func_def_3111, type, sK2552: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,X0) * filter(X1)) > X0)).
% 8.42/2.11  tff(func_def_3112, type, sK2553: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,X0) * filter(X1)) > X0)).
% 8.42/2.11  tff(func_def_3113, type, sK2554: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,X0) * filter(X1)) > X0)).
% 8.42/2.11  tff(func_def_3114, type, sK2555: !>[X0: $tType, X1: $tType]:((filter(X0) * fun(X0,X1) * X1) > X1)).
% 8.42/2.11  tff(func_def_3115, type, sK2556: !>[X0: $tType, X1: $tType]:((filter(X0) * fun(X0,X1) * X1) > X1)).
% 8.42/2.11  tff(func_def_3116, type, sK2557: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3117, type, sK2558: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3118, type, sK2559: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3119, type, sK2560: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3120, type, sK2561: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1) * X1 * X1) > X0)).
% 8.42/2.11  tff(func_def_3121, type, sK2562: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1)) > X0)).
% 8.42/2.11  tff(func_def_3122, type, sK2563: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3123, type, sK2564: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3124, type, sK2565: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3125, type, sK2566: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * X0) > X1)).
% 8.42/2.11  tff(func_def_3126, type, sK2567: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1) * X1) > X0)).
% 8.42/2.11  tff(func_def_3127, type, sK2568: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3128, type, sK2569: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3129, type, sK2570: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3130, type, sK2571: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3131, type, sK2572: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1) * X1) > X0)).
% 8.42/2.11  tff(func_def_3132, type, sK2573: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3133, type, sK2574: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3134, type, sK2575: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1)) > X1)).
% 8.42/2.11  tff(func_def_3135, type, sK2576: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1)) > X0)).
% 8.42/2.11  tff(func_def_3136, type, sK2577: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1)) > X0)).
% 8.42/2.11  tff(func_def_3137, type, sK2578: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3138, type, sK2579: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3139, type, sK2580: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1)) > X0)).
% 8.42/2.11  tff(func_def_3140, type, sK2581: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3141, type, sK2582: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1)) > X0)).
% 8.42/2.11  tff(func_def_3142, type, sK2583: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3143, type, sK2584: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3144, type, sK2585: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1)) > X0)).
% 8.42/2.11  tff(func_def_3145, type, sK2586: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * set(X0)) > X0)).
% 8.42/2.11  tff(func_def_3146, type, sK2587: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * set(X0)) > X0)).
% 8.42/2.11  tff(func_def_3147, type, sK2588: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1) * X1) > X0)).
% 8.42/2.11  tff(func_def_3148, type, sK2589: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1) * X1) > X0)).
% 8.42/2.11  tff(func_def_3149, type, sK2590: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,X0) * set(X1)) > X1)).
% 8.42/2.11  tff(func_def_3150, type, sK2591: !>[X0: $tType, X1: $tType]:((set(X0) * X1 * fun(X0,X1)) > X0)).
% 8.42/2.11  tff(func_def_3151, type, sK2592: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,X0) * set(X1)) > X1)).
% 8.42/2.11  tff(func_def_3152, type, sK2593: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1) * X1) > X0)).
% 8.42/2.11  tff(func_def_3153, type, sK2594: !>[X0: $tType, X1: $tType]:((set(X0) * X1 * fun(X0,X1)) > X1)).
% 8.42/2.11  tff(func_def_3154, type, sK2595: !>[X0: $tType, X1: $tType]:((set(X0) * X1 * fun(X0,X1)) > X0)).
% 8.42/2.11  tff(func_def_3155, type, sK2596: !>[X0: $tType, X1: $tType]:((set(X1) * X0 * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3156, type, sK2597: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1) * X1) > X1)).
% 8.42/2.11  tff(func_def_3157, type, sK2598: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1) * X1) > X0)).
% 8.42/2.11  tff(func_def_3158, type, sK2599: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1) * X1) > X0)).
% 8.42/2.11  tff(func_def_3159, type, sK2600: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3160, type, sK2601: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3161, type, sK2602: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,X0) * set(X1)) > X1)).
% 8.42/2.11  tff(func_def_3162, type, sK2603: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * set(X0) * X1) > X0)).
% 8.42/2.11  tff(func_def_3163, type, sK2604: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3164, type, sK2605: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3165, type, sK2606: !>[X0: $tType, X1: $tType]:((fun(X1,fun(X0,$o))) > X1)).
% 8.42/2.11  tff(func_def_3166, type, sK2607: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X1,$o)) * X1) > X0)).
% 8.42/2.11  tff(func_def_3167, type, sK2608: !>[X0: $tType, X1: $tType]:((fun(X1,set(X0)) * set(X0) * set(X1)) > set(X1))).
% 8.42/2.11  tff(func_def_3168, type, sK2609: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,set(X0))) > X1)).
% 8.42/2.11  tff(func_def_3169, type, sK2610: !>[X0: $tType, X1: $tType]:((fun(X0,$o) * X1 * set(X1) * fun(X0,X1) * set(X1)) > X0)).
% 8.42/2.11  tff(func_def_3170, type, sK2611: !>[X0: $tType, X1: $tType]:((fun(X0,$o) * X1 * set(X1) * fun(X0,X1)) > set(X1))).
% 8.42/2.11  tff(func_def_3171, type, sK2612: !>[X0: $tType, X1: $tType]:((list(X1) * fun(X1,$o) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3172, type, sK2613: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3173, type, sK2614: !>[X0: $tType]:((set(set(X0))) > set(X0))).
% 8.42/2.11  tff(func_def_3174, type, sK2615: !>[X0: $tType]:((set(set(X0))) > set(X0))).
% 8.42/2.11  tff(func_def_3175, type, sK2616: !>[X0: $tType]:((set(set(X0))) > set(X0))).
% 8.42/2.11  tff(func_def_3176, type, sK2617: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3177, type, sK2618: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3178, type, sK2619: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3179, type, sK2620: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3180, type, sK2621: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3181, type, sK2622: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * set(X1)) > X1)).
% 8.42/2.11  tff(func_def_3182, type, sK2623: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3183, type, sK2624: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3184, type, sK2625: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3185, type, sK2626: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3186, type, sK2627: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3187, type, sK2628: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3188, type, sK2629: !>[X0: $tType]:((fun(X0,fun(X0,$o))) > X0)).
% 8.42/2.11  tff(func_def_3189, type, sK2630: !>[X0: $tType]:((fun(X0,fun(X0,$o))) > X0)).
% 8.42/2.11  tff(func_def_3190, type, sK2631: !>[X0: $tType]:((fun(X0,fun(X0,$o))) > X0)).
% 8.42/2.11  tff(func_def_3191, type, sK2632: !>[X0: $tType]:((fun(X0,fun(X0,$o))) > X0)).
% 8.42/2.11  tff(func_def_3192, type, sK2633: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X0,$o)) * set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3193, type, sK2634: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3194, type, sK2635: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3195, type, sK2636: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3196, type, sK2637: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3197, type, sK2638: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3198, type, sK2639: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3199, type, sK2640: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * set(X1)) > X1)).
% 8.42/2.11  tff(func_def_3200, type, sK2641: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3201, type, sK2642: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * set(X0)) > X0)).
% 8.42/2.11  tff(func_def_3202, type, sK2643: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1)) > X0)).
% 8.42/2.11  tff(func_def_3203, type, sK2644: !>[X0: $tType]:((set(set(X0))) > set(X0))).
% 8.42/2.11  tff(func_def_3204, type, sK2645: !>[X0: $tType]:((set(set(X0))) > set(X0))).
% 8.42/2.11  tff(func_def_3205, type, sK2646: !>[X0: $tType]:((set(set(X0))) > set(X0))).
% 8.42/2.11  tff(func_def_3206, type, sK2647: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * set(set(X0))) > set(X0))).
% 8.42/2.11  tff(func_def_3207, type, sK2648: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * set(set(X0))) > set(X0))).
% 8.42/2.11  tff(func_def_3208, type, sK2649: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * set(X1)) > X1)).
% 8.42/2.11  tff(func_def_3209, type, sK2650: !>[X0: $tType]:((set(set(X0))) > set(X0))).
% 8.42/2.11  tff(func_def_3210, type, sK2651: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3211, type, sK2652: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3212, type, sK2653: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3213, type, sK2654: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3214, type, sK2655: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3215, type, sK2656: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * set(X1)) > X1)).
% 8.42/2.11  tff(func_def_3216, type, sK2657: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3217, type, sK2658: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3218, type, sK2659: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3219, type, sK2660: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3220, type, sK2661: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3221, type, sK2662: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3222, type, sK2663: !>[X0: $tType]:((fun(X0,fun(X0,$o))) > X0)).
% 8.42/2.11  tff(func_def_3223, type, sK2664: !>[X0: $tType]:((fun(X0,fun(X0,$o))) > X0)).
% 8.42/2.11  tff(func_def_3224, type, sK2665: !>[X0: $tType]:((fun(X0,fun(X0,$o))) > X0)).
% 8.42/2.11  tff(func_def_3225, type, sK2666: !>[X0: $tType]:((fun(X0,fun(X0,$o))) > X0)).
% 8.42/2.11  tff(func_def_3226, type, sK2667: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X0,$o)) * set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3227, type, sK2668: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3228, type, sK2669: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3229, type, sK2670: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3230, type, sK2671: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3231, type, sK2672: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3232, type, sK2673: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3233, type, sK2674: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * set(X1)) > X1)).
% 8.42/2.11  tff(func_def_3234, type, sK2675: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3235, type, sK2676: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1) * X1) > X0)).
% 8.42/2.11  tff(func_def_3236, type, sK2677: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * X0) > X1)).
% 8.42/2.11  tff(func_def_3237, type, sK2678: !>[X0: $tType, X1: $tType]:((set(X1) * X0 * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3238, type, sK2679: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1) * X1) > X0)).
% 8.42/2.11  tff(func_def_3239, type, sK2680: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3240, type, sK2681: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3241, type, sK2682: !>[X0: $tType, X1: $tType]:((product_prod(fun(X1,X0),list(X1))) > fun(X1,X0))).
% 8.42/2.11  tff(func_def_3242, type, sK2683: !>[X0: $tType, X1: $tType]:((product_prod(fun(X1,X0),list(X1))) > fun(X1,X0))).
% 8.42/2.11  tff(func_def_3243, type, sK2684: !>[X0: $tType, X1: $tType]:((product_prod(fun(X1,X0),list(X1))) > X1)).
% 8.42/2.11  tff(func_def_3244, type, sK2685: !>[X0: $tType, X1: $tType]:((product_prod(fun(X1,X0),list(X1))) > X1)).
% 8.42/2.11  tff(func_def_3245, type, sK2686: !>[X0: $tType, X1: $tType]:((product_prod(fun(X1,X0),list(X1))) > list(X1))).
% 8.42/2.11  tff(func_def_3246, type, sK2687: !>[X0: $tType, X1: $tType]:((product_prod(fun(X1,X0),list(X1))) > fun(X1,X0))).
% 8.42/2.11  tff(func_def_3247, type, sK2688: !>[X0: $tType, X1: $tType]:((product_prod(fun(X1,X0),list(X1))) > X1)).
% 8.42/2.11  tff(func_def_3248, type, sK2689: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * filter(X1)) > X0)).
% 8.42/2.11  tff(func_def_3249, type, sK2690: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * filter(X1)) > X0)).
% 8.42/2.11  tff(func_def_3250, type, sK2691: !>[X0: $tType, X1: $tType]:((fun(X1,$o) * fun(X1,X0) * X0) > X1)).
% 8.42/2.11  tff(func_def_3251, type, sK2692: !>[X0: $tType, X1: $tType]:((fun(X1,$o) * fun(X1,X0)) > X0)).
% 8.42/2.11  tff(func_def_3252, type, sK2693: !>[X0: $tType, X1: $tType]:((fun(X1,$o) * fun(X1,X0) * X0) > X1)).
% 8.42/2.11  tff(func_def_3253, type, sK2694: !>[X0: $tType, X1: $tType]:((fun(X1,$o) * fun(X1,X0)) > X0)).
% 8.42/2.11  tff(func_def_3254, type, sK2695: !>[X0: $tType, X1: $tType]:((fun(set(X1),$o) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3255, type, sK2696: !>[X0: $tType, X1: $tType]:((fun(set(X1),$o) * fun(X1,X0)) > set(X1))).
% 8.42/2.11  tff(func_def_3256, type, sK2697: !>[X0: $tType, X1: $tType]:((list(X1) * fun(X1,X0) * X1) > X1)).
% 8.42/2.11  tff(func_def_3257, type, sK2698: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * filter(X1) * X0) > X0)).
% 8.42/2.11  tff(func_def_3258, type, sK2699: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * filter(X1) * X0) > X0)).
% 8.42/2.11  tff(func_def_3259, type, sK2700: !>[X0: $tType, X1: $tType]:((X1) > X0)).
% 8.42/2.11  tff(func_def_3260, type, sK2701: !>[X0: $tType, X1: $tType]:((X1) > X0)).
% 8.42/2.11  tff(func_def_3261, type, sK2702: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3262, type, sK2703: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3263, type, sK2704: !>[X0: $tType, X1: $tType]:((set(X1) * X0 * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3264, type, sK2705: !>[X0: $tType, X1: $tType]:((set(X1) * X0 * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3265, type, sK2706: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * X0) > X1)).
% 8.42/2.11  tff(func_def_3266, type, sK2707: (nat * vEBT_VEBT) > option(product_prod(nat,nat))).
% 8.42/2.11  tff(func_def_3267, type, sK2708: (nat * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_3268, type, sK2709: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_3269, type, sK2710: (nat * vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_3270, type, sK2711: (nat * vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_3271, type, sK2712: vEBT_VEBT > $o).
% 8.42/2.11  tff(func_def_3272, type, sK2713: vEBT_VEBT > $o).
% 8.42/2.11  tff(func_def_3273, type, sK2714: (nat * vEBT_VEBT) > option(product_prod(nat,nat))).
% 8.42/2.11  tff(func_def_3274, type, sK2715: (nat * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_3275, type, sK2716: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_3276, type, sK2717: (nat * vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_3277, type, sK2718: (nat * vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_3278, type, sK2719: (vEBT_VEBT * nat) > $o).
% 8.42/2.11  tff(func_def_3279, type, sK2720: (vEBT_VEBT * nat) > $o).
% 8.42/2.11  tff(func_def_3280, type, sK2721: (vEBT_VEBT * nat) > option(product_prod(nat,nat))).
% 8.42/2.11  tff(func_def_3281, type, sK2722: (vEBT_VEBT * nat) > nat).
% 8.42/2.11  tff(func_def_3282, type, sK2723: (vEBT_VEBT * nat) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_3283, type, sK2724: (vEBT_VEBT * nat) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_3284, type, sK2725: vEBT_VEBT > option(product_prod(nat,nat))).
% 8.42/2.11  tff(func_def_3285, type, sK2726: vEBT_VEBT > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_3286, type, sK2727: vEBT_VEBT > vEBT_VEBT).
% 8.42/2.11  tff(func_def_3287, type, sK2728: (vEBT_VEBT * nat) > $o).
% 8.42/2.11  tff(func_def_3288, type, sK2729: (vEBT_VEBT * nat) > $o).
% 8.42/2.11  tff(func_def_3289, type, sK2730: (nat * vEBT_VEBT) > option(product_prod(nat,nat))).
% 8.42/2.11  tff(func_def_3290, type, sK2731: (nat * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_3291, type, sK2732: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_3292, type, sK2733: (nat * vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_3293, type, sK2734: (nat * vEBT_VEBT) > $o).
% 8.42/2.11  tff(func_def_3294, type, sK2735: (nat * vEBT_VEBT) > $o).
% 8.42/2.11  tff(func_def_3295, type, sK2736: (vEBT_VEBT * nat) > option(product_prod(nat,nat))).
% 8.42/2.11  tff(func_def_3296, type, sK2737: (vEBT_VEBT * nat) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_3297, type, sK2738: (vEBT_VEBT * nat) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_3298, type, sK2739: (nat * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_3299, type, sK2740: (nat * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_3300, type, sK2741: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_3301, type, sK2742: (nat * vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_3302, type, sK2743: (nat * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_3303, type, sK2744: (nat * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_3304, type, sK2745: (nat * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_3305, type, sK2746: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_3306, type, sK2747: (nat * vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_3307, type, sK2748: (vEBT_VEBT * nat) > nat).
% 8.42/2.11  tff(func_def_3308, type, sK2749: (vEBT_VEBT * nat) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_3309, type, sK2750: (vEBT_VEBT * nat) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_3310, type, sK2751: vEBT_VEBT > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_3311, type, sK2752: vEBT_VEBT > vEBT_VEBT).
% 8.42/2.11  tff(func_def_3312, type, sK2753: vEBT_VEBT > $o).
% 8.42/2.11  tff(func_def_3313, type, sK2754: vEBT_VEBT > $o).
% 8.42/2.11  tff(func_def_3314, type, sK2755: (nat * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_3315, type, sK2756: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_3316, type, sK2757: (nat * vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_3317, type, sK2758: (nat * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_3318, type, sK2759: (nat * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_3319, type, sK2760: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_3320, type, sK2761: (nat * vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_3321, type, sK2762: (nat * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_3322, type, sK2763: (nat * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_3323, type, sK2764: (nat * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_3324, type, sK2765: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_3325, type, sK2766: (nat * vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_3326, type, sK2767: (vEBT_VEBT * nat) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_3327, type, sK2768: (vEBT_VEBT * nat) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_3328, type, sK2769: (vEBT_VEBT * nat) > $o).
% 8.42/2.11  tff(func_def_3329, type, sK2770: (vEBT_VEBT * nat) > $o).
% 8.42/2.11  tff(func_def_3330, type, sK2771: !>[X0: $tType]:((list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_3331, type, sK2772: !>[X0: $tType]:((list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_3332, type, sK2773: !>[X0: $tType]:((list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_3333, type, sK2774: !>[X0: $tType]:((list(X0)) > X0)).
% 8.42/2.11  tff(func_def_3334, type, sK2775: fun(nat,real) > real).
% 8.42/2.11  tff(func_def_3335, type, sK2776: (fun(nat,real) * real) > nat).
% 8.42/2.11  tff(func_def_3336, type, sK2777: (fun(nat,real) * nat) > nat).
% 8.42/2.11  tff(func_def_3337, type, sK2778: !>[X0: $tType]:((set(X0)) > X0)).
% 8.42/2.11  tff(func_def_3338, type, sK2779: (nat * vEBT_VEBT) > option(product_prod(nat,nat))).
% 8.42/2.11  tff(func_def_3339, type, sK2780: (nat * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_3340, type, sK2781: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_3341, type, sK2782: (nat * vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_3342, type, sK2783: vEBT_VEBT > $o).
% 8.42/2.11  tff(func_def_3343, type, sK2784: vEBT_VEBT > $o).
% 8.42/2.11  tff(func_def_3344, type, sK2785: (nat * vEBT_VEBT) > option(product_prod(nat,nat))).
% 8.42/2.11  tff(func_def_3345, type, sK2786: (nat * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_3346, type, sK2787: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_3347, type, sK2788: (nat * vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_3348, type, sK2789: (vEBT_VEBT * nat) > $o).
% 8.42/2.11  tff(func_def_3349, type, sK2790: (vEBT_VEBT * nat) > $o).
% 8.42/2.11  tff(func_def_3350, type, sK2791: (vEBT_VEBT * nat) > option(product_prod(nat,nat))).
% 8.42/2.11  tff(func_def_3351, type, sK2792: (vEBT_VEBT * nat) > nat).
% 8.42/2.11  tff(func_def_3352, type, sK2793: (vEBT_VEBT * nat) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_3353, type, sK2794: (vEBT_VEBT * nat) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_3354, type, sK2795: (vEBT_VEBT * nat) > $o).
% 8.42/2.11  tff(func_def_3355, type, sK2796: (vEBT_VEBT * nat) > $o).
% 8.42/2.11  tff(func_def_3356, type, sK2797: (nat * vEBT_VEBT) > $o).
% 8.42/2.11  tff(func_def_3357, type, sK2798: (nat * vEBT_VEBT) > $o).
% 8.42/2.11  tff(func_def_3358, type, sK2799: (vEBT_VEBT * nat) > option(product_prod(nat,nat))).
% 8.42/2.11  tff(func_def_3359, type, sK2800: (vEBT_VEBT * nat) > nat).
% 8.42/2.11  tff(func_def_3360, type, sK2801: (vEBT_VEBT * nat) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_3361, type, sK2802: (vEBT_VEBT * nat) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_3362, type, sK2803: (nat * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_3363, type, sK2804: (nat * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_3364, type, sK2805: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_3365, type, sK2806: (nat * vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_3366, type, sK2807: (vEBT_VEBT * nat) > nat).
% 8.42/2.11  tff(func_def_3367, type, sK2808: (vEBT_VEBT * nat) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_3368, type, sK2809: (vEBT_VEBT * nat) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_3369, type, sK2810: (vEBT_VEBT * nat) > nat).
% 8.42/2.11  tff(func_def_3370, type, sK2811: (vEBT_VEBT * nat) > nat).
% 8.42/2.11  tff(func_def_3371, type, sK2812: (vEBT_VEBT * nat) > nat).
% 8.42/2.11  tff(func_def_3372, type, sK2813: (vEBT_VEBT * nat) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_3373, type, sK2814: (vEBT_VEBT * nat) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_3374, type, sK2815: (nat * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_3375, type, sK2816: (nat * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_3376, type, sK2817: (nat * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_3377, type, sK2818: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_3378, type, sK2819: (nat * vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_3379, type, sK2820: (nat * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_3380, type, sK2821: (nat * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_3381, type, sK2822: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_3382, type, sK2823: (nat * vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_3383, type, sK2824: (vEBT_VEBT * nat) > nat).
% 8.42/2.11  tff(func_def_3384, type, sK2825: (vEBT_VEBT * nat) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_3385, type, sK2826: (vEBT_VEBT * nat) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_3386, type, sK2827: vEBT_VEBT > $o).
% 8.42/2.11  tff(func_def_3387, type, sK2828: vEBT_VEBT > $o).
% 8.42/2.11  tff(func_def_3388, type, sK2829: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_3389, type, sK2830: (nat * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_3390, type, sK2831: (nat * vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_3391, type, sK2832: (nat * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_3392, type, sK2833: (nat * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_3393, type, sK2834: (nat * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_3394, type, sK2835: (nat * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_3395, type, sK2836: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_3396, type, sK2837: (nat * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_3397, type, sK2838: (nat * vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_3398, type, sK2839: (nat * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_3399, type, sK2840: (nat * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_3400, type, sK2841: (nat * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_3401, type, sK2842: (nat * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_3402, type, sK2843: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_3403, type, sK2844: (nat * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_3404, type, sK2845: (nat * vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_3405, type, sK2846: (nat * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_3406, type, sK2847: (nat * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_3407, type, sK2848: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_3408, type, sK2849: (nat * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_3409, type, sK2850: (nat * vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_3410, type, sK2851: (nat * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_3411, type, sK2852: (nat * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_3412, type, sK2853: (list(vEBT_VEBT) * nat) > nat).
% 8.42/2.11  tff(func_def_3413, type, sK2854: (list(vEBT_VEBT) * nat) > nat).
% 8.42/2.11  tff(func_def_3414, type, sK2855: vEBT_VEBT > $o).
% 8.42/2.11  tff(func_def_3415, type, sK2856: vEBT_VEBT > $o).
% 8.42/2.11  tff(func_def_3416, type, sK2857: !>[X0: $tType]:((set(X0)) > set(X0))).
% 8.42/2.11  tff(func_def_3417, type, sK2858: !>[X0: $tType]:((set(X0)) > X0)).
% 8.42/2.11  tff(func_def_3418, type, sK2859: !>[X0: $tType]:((set(X0)) > X0)).
% 8.42/2.11  tff(func_def_3419, type, sK2860: !>[X0: $tType]:((set(X0)) > X0)).
% 8.42/2.11  tff(func_def_3420, type, sK2861: !>[X0: $tType]:((set(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_3421, type, sK2862: !>[X0: $tType]:((set(X0)) > fun(nat,X0))).
% 8.42/2.11  tff(func_def_3422, type, sK2863: !>[X0: $tType]:((set(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_3423, type, sK2864: (real * nat) > real).
% 8.42/2.11  tff(func_def_3424, type, sK2865: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_3425, type, sK2866: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_3426, type, sK2867: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_3427, type, sK2868: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_3428, type, sK2869: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_3429, type, sK2870: (list(nat) * nat) > nat).
% 8.42/2.11  tff(func_def_3430, type, sK2871: (list(nat) * nat) > list(nat)).
% 8.42/2.11  tff(func_def_3431, type, sK2872: (list(nat) * nat) > nat).
% 8.42/2.11  tff(func_def_3432, type, sK2873: (list(nat) * nat) > list(nat)).
% 8.42/2.11  tff(func_def_3433, type, sK2874: (nat * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_3434, type, sK2875: (nat * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_3435, type, sK2876: !>[X0: $tType]:((list(list(X0))) > list(X0))).
% 8.42/2.11  tff(func_def_3436, type, sK2877: !>[X0: $tType]:((list(list(X0))) > list(X0))).
% 8.42/2.11  tff(func_def_3437, type, sK2878: !>[X0: $tType]:((list(list(X0))) > list(X0))).
% 8.42/2.11  tff(func_def_3438, type, sK2879: !>[X0: $tType]:((set(list(X0))) > nat)).
% 8.42/2.11  tff(func_def_3439, type, sK2880: !>[X0: $tType]:((set(set(X0))) > set(X0))).
% 8.42/2.11  tff(func_def_3440, type, sK2881: (fun(nat,real) * real) > nat).
% 8.42/2.11  tff(func_def_3441, type, sK2882: fun(nat,real) > real).
% 8.42/2.11  tff(func_def_3442, type, sK2883: (fun(nat,real) * real) > nat).
% 8.42/2.11  tff(func_def_3443, type, sK2884: (fun(nat,real) * real) > nat).
% 8.42/2.11  tff(func_def_3444, type, sK2885: fun(nat,real) > real).
% 8.42/2.11  tff(func_def_3445, type, sK2886: (fun(nat,real) * real) > nat).
% 8.42/2.11  tff(func_def_3446, type, sK2887: !>[X0: $tType]:((option(X0)) > X0)).
% 8.42/2.11  tff(func_def_3447, type, sK2888: !>[X0: $tType]:((list(X0)) > X0)).
% 8.42/2.11  tff(func_def_3448, type, sK2889: !>[X0: $tType]:((list(X0)) > X0)).
% 8.42/2.11  tff(func_def_3449, type, sK2890: !>[X0: $tType]:((list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_3450, type, sK2891: !>[X0: $tType]:((list(X0)) > X0)).
% 8.42/2.11  tff(func_def_3451, type, sK2892: !>[X0: $tType]:((list(X0)) > X0)).
% 8.42/2.11  tff(func_def_3452, type, sK2893: !>[X0: $tType]:((list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_3453, type, sK2894: !>[X0: $tType]:((list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_3454, type, sK2895: !>[X0: $tType]:((list(X0)) > X0)).
% 8.42/2.11  tff(func_def_3455, type, sK2896: (option(nat) * vEBT_VEBT) > $o).
% 8.42/2.11  tff(func_def_3456, type, sK2897: (option(nat) * vEBT_VEBT) > $o).
% 8.42/2.11  tff(func_def_3457, type, sK2898: (vEBT_VEBT * option(nat)) > nat).
% 8.42/2.11  tff(func_def_3458, type, sK2899: (vEBT_VEBT * option(nat)) > nat).
% 8.42/2.11  tff(func_def_3459, type, sK2900: (vEBT_VEBT * option(nat)) > nat).
% 8.42/2.11  tff(func_def_3460, type, sK2901: (vEBT_VEBT * option(nat)) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_3461, type, sK2902: (vEBT_VEBT * option(nat)) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_3462, type, sK2903: vEBT_VEBT > nat).
% 8.42/2.11  tff(func_def_3463, type, sK2904: vEBT_VEBT > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_3464, type, sK2905: vEBT_VEBT > vEBT_VEBT).
% 8.42/2.11  tff(func_def_3465, type, sK2906: (option(nat) * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_3466, type, sK2907: (option(nat) * vEBT_VEBT) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_3467, type, sK2908: (option(nat) * vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_3468, type, sK2909: (option(nat) * vEBT_VEBT) > $o).
% 8.42/2.11  tff(func_def_3469, type, sK2910: (option(nat) * vEBT_VEBT) > $o).
% 8.42/2.11  tff(func_def_3470, type, sK2911: (vEBT_VEBT * option(nat)) > nat).
% 8.42/2.11  tff(func_def_3471, type, sK2912: (vEBT_VEBT * option(nat)) > nat).
% 8.42/2.11  tff(func_def_3472, type, sK2913: (vEBT_VEBT * option(nat)) > nat).
% 8.42/2.11  tff(func_def_3473, type, sK2914: (vEBT_VEBT * option(nat)) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_3474, type, sK2915: (vEBT_VEBT * option(nat)) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_3475, type, sK2916: (option(nat) * vEBT_VEBT) > $o).
% 8.42/2.11  tff(func_def_3476, type, sK2917: (option(nat) * vEBT_VEBT) > $o).
% 8.42/2.11  tff(func_def_3477, type, sK2918: (vEBT_VEBT * option(nat)) > nat).
% 8.42/2.11  tff(func_def_3478, type, sK2919: (vEBT_VEBT * option(nat)) > nat).
% 8.42/2.11  tff(func_def_3479, type, sK2920: (vEBT_VEBT * option(nat)) > nat).
% 8.42/2.11  tff(func_def_3480, type, sK2921: (vEBT_VEBT * option(nat)) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_3481, type, sK2922: (vEBT_VEBT * option(nat)) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_3482, type, sK2923: vEBT_VEBT > nat).
% 8.42/2.11  tff(func_def_3483, type, sK2924: vEBT_VEBT > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_3484, type, sK2925: vEBT_VEBT > vEBT_VEBT).
% 8.42/2.11  tff(func_def_3485, type, sK2926: (option(nat) * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_3486, type, sK2927: (option(nat) * vEBT_VEBT) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_3487, type, sK2928: (option(nat) * vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_3488, type, sK2929: (option(nat) * vEBT_VEBT) > $o).
% 8.42/2.11  tff(func_def_3489, type, sK2930: (option(nat) * vEBT_VEBT) > $o).
% 8.42/2.11  tff(func_def_3490, type, sK2931: (vEBT_VEBT * option(nat)) > nat).
% 8.42/2.11  tff(func_def_3491, type, sK2932: (vEBT_VEBT * option(nat)) > nat).
% 8.42/2.11  tff(func_def_3492, type, sK2933: (vEBT_VEBT * option(nat)) > nat).
% 8.42/2.11  tff(func_def_3493, type, sK2934: (vEBT_VEBT * option(nat)) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_3494, type, sK2935: (vEBT_VEBT * option(nat)) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_3495, type, sK2936: (set(real) * fun(real,real)) > real).
% 8.42/2.11  tff(func_def_3496, type, sK2937: (set(real) * fun(real,real)) > real).
% 8.42/2.11  tff(func_def_3497, type, sK2938: !>[X0: $tType]:((set(X0)) > X0)).
% 8.42/2.11  tff(func_def_3498, type, sK2939: !>[X0: $tType]:((set(X0)) > X0)).
% 8.42/2.11  tff(func_def_3499, type, sK2940: !>[X0: $tType]:((list(list(X0))) > X0)).
% 8.42/2.11  tff(func_def_3500, type, sK2941: !>[X0: $tType]:((list(list(X0))) > list(X0))).
% 8.42/2.11  tff(func_def_3501, type, sK2942: !>[X0: $tType]:((list(list(X0))) > list(list(X0)))).
% 8.42/2.11  tff(func_def_3502, type, sK2943: !>[X0: $tType]:((list(list(X0))) > list(list(X0)))).
% 8.42/2.11  tff(func_def_3503, type, sK2944: (int * int) > int).
% 8.42/2.11  tff(func_def_3504, type, sK2945: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_3505, type, sK2946: !>[X0: $tType]:((set(X0)) > X0)).
% 8.42/2.11  tff(func_def_3506, type, sK2947: fun(nat,real) > nat).
% 8.42/2.11  tff(func_def_3507, type, sK2948: fun(nat,real) > nat).
% 8.42/2.11  tff(func_def_3508, type, sK2949: fun(nat,real) > nat).
% 8.42/2.11  tff(func_def_3509, type, sK2950: fun(nat,real) > nat).
% 8.42/2.11  tff(func_def_3510, type, sK2951: (vEBT_VEBT * nat) > option(product_prod(nat,nat))).
% 8.42/2.11  tff(func_def_3511, type, sK2952: (vEBT_VEBT * nat) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_3512, type, sK2953: (vEBT_VEBT * nat) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_3513, type, sK2954: (fun(nat,real) * real) > fun(nat,int)).
% 8.42/2.11  tff(func_def_3514, type, sK2955: (real * real) > real).
% 8.42/2.11  tff(func_def_3515, type, sK2956: (real * real) > real).
% 8.42/2.11  tff(func_def_3516, type, sK2957: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,X0) * X1 * X1) > fun(nat,X1))).
% 8.42/2.11  tff(func_def_3517, type, sK2958: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,X0) * X1 * X1) > fun(nat,X1))).
% 8.42/2.11  tff(func_def_3518, type, sK2959: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * X0 * X1 * set(X1)) > fun(nat,X1))).
% 8.42/2.11  tff(func_def_3519, type, sK2960: !>[X0: $tType]:((X0 * set(X0) * fun(nat,X0)) > nat)).
% 8.42/2.11  tff(func_def_3520, type, sK2961: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * filter(X1)) > X0)).
% 8.42/2.11  tff(func_def_3521, type, sK2962: !>[X0: $tType, X1: $tType]:((real * fun(nat,real) * fun(X1,fun(nat,X0))) > X1)).
% 8.42/2.11  tff(func_def_3522, type, sK2963: !>[X0: $tType, X1: $tType]:((real * fun(nat,real) * fun(X1,fun(nat,X0))) > nat)).
% 8.42/2.11  tff(func_def_3523, type, sK2964: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > real)).
% 8.42/2.11  tff(func_def_3524, type, sK2965: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > real)).
% 8.42/2.11  tff(func_def_3525, type, sK2966: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > real)).
% 8.42/2.11  tff(func_def_3526, type, sK2967: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * real) > X1)).
% 8.42/2.11  tff(func_def_3527, type, sK2968: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * real) > X1)).
% 8.42/2.11  tff(func_def_3528, type, sK2969: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > real)).
% 8.42/2.11  tff(func_def_3529, type, sK2970: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * real) > X1)).
% 8.42/2.11  tff(func_def_3530, type, sK2971: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > real)).
% 8.42/2.11  tff(func_def_3531, type, sK2972: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3532, type, sK2973: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3533, type, sK2974: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3534, type, sK2975: !>[X0: $tType, X1: $tType]:((X1 * fun(X1,X0) * X0) > real)).
% 8.42/2.11  tff(func_def_3535, type, sK2976: !>[X0: $tType, X1: $tType]:((X1 * fun(X1,X0) * X0 * real) > X1)).
% 8.42/2.11  tff(func_def_3536, type, sK2977: !>[X0: $tType, X1: $tType]:((real * fun(X1,X0) * real) > X1)).
% 8.42/2.11  tff(func_def_3537, type, sK2978: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X1,X0) * X1 * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3538, type, sK2979: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X1,X0) * X1) > fun(X1,X0))).
% 8.42/2.11  tff(func_def_3539, type, sK2980: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,X0) * X1) > real)).
% 8.42/2.11  tff(func_def_3540, type, sK2981: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,X0) * X1 * real) > X1)).
% 8.42/2.11  tff(func_def_3541, type, sK2982: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,X0) * X1 * real) > real)).
% 8.42/2.11  tff(func_def_3542, type, sK2983: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * X0 * fun(X0,X1) * set(X0) * fun(X0,X1)) > X0)).
% 8.42/2.11  tff(func_def_3543, type, sK2984: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * X0 * fun(X0,X1) * set(X0)) > fun(X0,X1))).
% 8.42/2.11  tff(func_def_3544, type, sK2985: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * X0 * X1 * real) > real)).
% 8.42/2.11  tff(func_def_3545, type, sK2986: !>[X0: $tType, X1: $tType]:((real * fun(X1,X0) * set(X1) * X1 * fun(X1,X0) * fun(X1,real)) > X1)).
% 8.42/2.11  tff(func_def_3546, type, sK2987: !>[X0: $tType, X1: $tType]:((real * X1 * fun(X1,X0) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3547, type, sK2988: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * X0 * X1 * X0) > X0)).
% 8.42/2.11  tff(func_def_3548, type, sK2989: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * X0 * X1 * X0) > X0)).
% 8.42/2.11  tff(func_def_3549, type, sK2990: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * X0 * X0) > X0)).
% 8.42/2.11  tff(func_def_3550, type, sK2991: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * X0 * X1 * X0) > X0)).
% 8.42/2.11  tff(func_def_3551, type, sK2992: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * X0 * X0) > X0)).
% 8.42/2.11  tff(func_def_3552, type, sK2993: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * X0 * X1 * X0) > X0)).
% 8.42/2.11  tff(func_def_3553, type, sK2994: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1)) > X1)).
% 8.42/2.11  tff(func_def_3554, type, sK2995: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1)) > X1)).
% 8.42/2.11  tff(func_def_3555, type, sK2996: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * X1 * X1) > X1)).
% 8.42/2.11  tff(func_def_3556, type, sK2997: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X0,X1) * fun(X1,$o)) > X1)).
% 8.42/2.11  tff(func_def_3557, type, sK2998: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X1,$o)) > X1)).
% 8.42/2.11  tff(func_def_3558, type, sK2999: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X1,$o)) > X1)).
% 8.42/2.11  tff(func_def_3559, type, sK3000: !>[X0: $tType]:((fun(X0,$o) * X0) > X0)).
% 8.42/2.11  tff(func_def_3560, type, sK3001: !>[X0: $tType, X1: $tType]:((fun(X1,$o) * fun(X0,$o) * fun(X0,X1)) > X0)).
% 8.42/2.11  tff(func_def_3561, type, sK3002: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X0,X1) * fun(X1,$o)) > X1)).
% 8.42/2.11  tff(func_def_3562, type, sK3003: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X1,$o)) > X1)).
% 8.42/2.11  tff(func_def_3563, type, sK3004: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X1,$o)) > X1)).
% 8.42/2.11  tff(func_def_3564, type, sK3005: !>[X0: $tType]:((fun(X0,$o) * X0) > X0)).
% 8.42/2.11  tff(func_def_3565, type, sK3006: !>[X0: $tType, X1: $tType]:((fun(X1,$o) * fun(X0,$o) * fun(X0,X1)) > X0)).
% 8.42/2.11  tff(func_def_3566, type, sK3007: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1) * X1) > X0)).
% 8.42/2.11  tff(func_def_3567, type, sK3008: !>[X0: $tType, X1: $tType]:((X1 * set(X1) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3568, type, sK3009: !>[X0: $tType, X1: $tType]:((set(X1) * X0 * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3569, type, sK3010: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1) * X1) > X0)).
% 8.42/2.11  tff(func_def_3570, type, sK3011: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3571, type, sK3012: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3572, type, sK3013: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3573, type, sK3014: !>[X0: $tType, X1: $tType]:((list(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3574, type, sK3015: !>[X0: $tType, X1: $tType]:((list(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3575, type, sK3016: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3576, type, sK3017: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3577, type, sK3018: !>[X0: $tType, X1: $tType]:((fun(X1,$o) * fun(X1,X0) * X0) > X1)).
% 8.42/2.11  tff(func_def_3578, type, sK3019: !>[X0: $tType, X1: $tType]:((fun(X1,$o) * fun(X1,X0)) > X0)).
% 8.42/2.11  tff(func_def_3579, type, sK3020: !>[X0: $tType, X1: $tType]:((fun(X1,$o) * fun(X1,X0) * X0) > X1)).
% 8.42/2.11  tff(func_def_3580, type, sK3021: !>[X0: $tType, X1: $tType]:((fun(X1,$o) * fun(X1,X0)) > X0)).
% 8.42/2.11  tff(func_def_3581, type, sK3022: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X1,$o)) > X1)).
% 8.42/2.11  tff(func_def_3582, type, sK3023: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X1,$o)) > X1)).
% 8.42/2.11  tff(func_def_3583, type, sK3024: !>[X0: $tType, X1: $tType]:((fun(X1,$o) * fun(X0,$o) * fun(X0,X1)) > X0)).
% 8.42/2.11  tff(func_def_3584, type, sK3025: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X0,$o) * fun(X0,X1)) > X0)).
% 8.42/2.11  tff(func_def_3585, type, sK3026: !>[X0: $tType, X1: $tType]:((X1 * X1 * fun(X1,X0) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3586, type, sK3027: !>[X0: $tType, X1: $tType]:((X1 * X1 * fun(X1,X0) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3587, type, sK3028: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3588, type, sK3029: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3589, type, sK3030: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1)) > X1)).
% 8.42/2.11  tff(func_def_3590, type, sK3031: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1)) > X1)).
% 8.42/2.11  tff(func_def_3591, type, sK3032: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3592, type, sK3033: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3593, type, sK3034: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3594, type, sK3035: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3595, type, sK3036: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > X0)).
% 8.42/2.11  tff(func_def_3596, type, sK3037: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > X0)).
% 8.42/2.11  tff(func_def_3597, type, sK3038: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > X0)).
% 8.42/2.11  tff(func_def_3598, type, sK3039: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > X0)).
% 8.42/2.11  tff(func_def_3599, type, sK3040: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3600, type, sK3041: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3601, type, sK3042: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3602, type, sK3043: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3603, type, sK3044: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3604, type, sK3045: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3605, type, sK3046: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3606, type, sK3047: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3607, type, sK3048: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > X0)).
% 8.42/2.11  tff(func_def_3608, type, sK3049: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > X0)).
% 8.42/2.11  tff(func_def_3609, type, sK3050: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > X0)).
% 8.42/2.11  tff(func_def_3610, type, sK3051: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > X0)).
% 8.42/2.11  tff(func_def_3611, type, sK3052: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > X0)).
% 8.42/2.11  tff(func_def_3612, type, sK3053: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > X0)).
% 8.42/2.11  tff(func_def_3613, type, sK3054: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > X0)).
% 8.42/2.11  tff(func_def_3614, type, sK3055: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > X0)).
% 8.42/2.11  tff(func_def_3615, type, sK3056: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3616, type, sK3057: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3617, type, sK3058: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3618, type, sK3059: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3619, type, sK3060: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3620, type, sK3061: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3621, type, sK3062: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3622, type, sK3063: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3623, type, sK3064: vEBT_VEBT > $o).
% 8.42/2.11  tff(func_def_3624, type, sK3065: vEBT_VEBT > $o).
% 8.42/2.11  tff(func_def_3625, type, sK3066: vEBT_VEBT > product_prod(nat,nat)).
% 8.42/2.11  tff(func_def_3626, type, sK3067: vEBT_VEBT > nat).
% 8.42/2.11  tff(func_def_3627, type, sK3068: vEBT_VEBT > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_3628, type, sK3069: vEBT_VEBT > vEBT_VEBT).
% 8.42/2.11  tff(func_def_3629, type, sK3070: vEBT_VEBT > nat).
% 8.42/2.11  tff(func_def_3630, type, sK3071: vEBT_VEBT > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_3631, type, sK3072: vEBT_VEBT > vEBT_VEBT).
% 8.42/2.11  tff(func_def_3632, type, sK3073: ($o * vEBT_VEBT) > product_prod(nat,nat)).
% 8.42/2.11  tff(func_def_3633, type, sK3074: ($o * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_3634, type, sK3075: ($o * vEBT_VEBT) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_3635, type, sK3076: ($o * vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_3636, type, sK3077: ($o * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_3637, type, sK3078: ($o * vEBT_VEBT) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_3638, type, sK3079: ($o * vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_3639, type, sK3080: ($o * vEBT_VEBT) > $o).
% 8.42/2.11  tff(func_def_3640, type, sK3081: ($o * vEBT_VEBT) > $o).
% 8.42/2.11  tff(func_def_3641, type, sK3082: (set(nat) * nat) > nat).
% 8.42/2.11  tff(func_def_3642, type, sK3083: (vEBT_VEBT * nat) > nat).
% 8.42/2.11  tff(func_def_3643, type, sK3084: (vEBT_VEBT * nat) > nat).
% 8.42/2.11  tff(func_def_3644, type, sK3085: (vEBT_VEBT * nat) > nat).
% 8.42/2.11  tff(func_def_3645, type, sK3086: (vEBT_VEBT * nat) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_3646, type, sK3087: (vEBT_VEBT * nat) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_3647, type, sK3088: vEBT_VEBT > product_prod(nat,nat)).
% 8.42/2.11  tff(func_def_3648, type, sK3089: vEBT_VEBT > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_3649, type, sK3090: vEBT_VEBT > vEBT_VEBT).
% 8.42/2.11  tff(func_def_3650, type, sK3091: vEBT_VEBT > product_prod(nat,nat)).
% 8.42/2.11  tff(func_def_3651, type, sK3092: vEBT_VEBT > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_3652, type, sK3093: vEBT_VEBT > vEBT_VEBT).
% 8.42/2.11  tff(func_def_3653, type, sK3094: vEBT_VEBT > nat).
% 8.42/2.11  tff(func_def_3654, type, sK3095: vEBT_VEBT > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_3655, type, sK3096: vEBT_VEBT > vEBT_VEBT).
% 8.42/2.11  tff(func_def_3656, type, sK3097: (vEBT_VEBT * nat) > $o).
% 8.42/2.11  tff(func_def_3657, type, sK3098: (vEBT_VEBT * nat) > $o).
% 8.42/2.11  tff(func_def_3658, type, sK3099: (nat * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_3659, type, sK3100: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_3660, type, sK3101: (nat * vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_3661, type, sK3102: (nat * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_3662, type, sK3103: (nat * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_3663, type, sK3104: (nat * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_3664, type, sK3105: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_3665, type, sK3106: (nat * vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_3666, type, sK3107: (nat * vEBT_VEBT) > $o).
% 8.42/2.11  tff(func_def_3667, type, sK3108: (nat * vEBT_VEBT) > $o).
% 8.42/2.11  tff(func_def_3668, type, sK3109: (vEBT_VEBT * nat) > product_prod(nat,nat)).
% 8.42/2.11  tff(func_def_3669, type, sK3110: (vEBT_VEBT * nat) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_3670, type, sK3111: (vEBT_VEBT * nat) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_3671, type, sK3112: (vEBT_VEBT * nat) > product_prod(nat,nat)).
% 8.42/2.11  tff(func_def_3672, type, sK3113: (vEBT_VEBT * nat) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_3673, type, sK3114: (vEBT_VEBT * nat) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_3674, type, sK3115: !>[X0: $tType]:((set(X0)) > X0)).
% 8.42/2.11  tff(func_def_3675, type, sK3116: !>[X0: $tType]:((set(X0)) > X0)).
% 8.42/2.11  tff(func_def_3676, type, sK3117: !>[X0: $tType]:((product_prod(list(X0),list(X0))) > X0)).
% 8.42/2.11  tff(func_def_3677, type, sK3118: !>[X0: $tType]:((product_prod(list(X0),list(X0))) > list(X0))).
% 8.42/2.11  tff(func_def_3678, type, sK3119: !>[X0: $tType]:((product_prod(list(X0),list(X0))) > X0)).
% 8.42/2.11  tff(func_def_3679, type, sK3120: !>[X0: $tType]:((product_prod(list(X0),list(X0))) > list(X0))).
% 8.42/2.11  tff(func_def_3680, type, sK3121: !>[X0: $tType]:((product_prod(list(X0),list(X0))) > list(X0))).
% 8.42/2.11  tff(func_def_3681, type, sK3122: !>[X0: $tType]:((product_prod(list(X0),list(X0))) > list(X0))).
% 8.42/2.11  tff(func_def_3682, type, sK3123: !>[X0: $tType]:((product_prod(list(X0),list(X0))) > X0)).
% 8.42/2.11  tff(func_def_3683, type, sK3124: !>[X0: $tType]:((product_prod(list(X0),list(X0))) > list(X0))).
% 8.42/2.11  tff(func_def_3684, type, sK3125: !>[X0: $tType]:((product_prod(list(X0),list(X0))) > list(X0))).
% 8.42/2.11  tff(func_def_3685, type, sK3126: !>[X0: $tType]:((product_prod(list(X0),list(X0))) > list(X0))).
% 8.42/2.11  tff(func_def_3686, type, sK3127: !>[X0: $tType]:((product_prod(fun(X0,fun(X0,$o)),list(X0))) > fun(X0,fun(X0,$o)))).
% 8.42/2.11  tff(func_def_3687, type, sK3128: !>[X0: $tType]:((product_prod(fun(X0,fun(X0,$o)),list(X0))) > X0)).
% 8.42/2.11  tff(func_def_3688, type, sK3129: !>[X0: $tType]:((product_prod(fun(X0,fun(X0,$o)),list(X0))) > X0)).
% 8.42/2.11  tff(func_def_3689, type, sK3130: !>[X0: $tType]:((product_prod(fun(X0,fun(X0,$o)),list(X0))) > list(X0))).
% 8.42/2.11  tff(func_def_3690, type, sK3131: !>[X0: $tType]:((product_prod(fun(X0,fun(X0,$o)),list(X0))) > fun(X0,fun(X0,$o)))).
% 8.42/2.11  tff(func_def_3691, type, sK3132: !>[X0: $tType]:((product_prod(fun(X0,fun(X0,$o)),list(X0))) > X0)).
% 8.42/2.11  tff(func_def_3692, type, sK3133: !>[X0: $tType]:((product_prod(fun(X0,fun(X0,$o)),list(X0))) > fun(X0,fun(X0,$o)))).
% 8.42/2.11  tff(func_def_3693, type, sK3134: !>[X0: $tType]:((product_prod(fun(X0,fun(X0,$o)),list(X0))) > fun(X0,fun(X0,$o)))).
% 8.42/2.11  tff(func_def_3694, type, sK3135: !>[X0: $tType]:((product_prod(fun(X0,fun(X0,$o)),list(X0))) > X0)).
% 8.42/2.11  tff(func_def_3695, type, sK3136: !>[X0: $tType]:((product_prod(fun(X0,fun(X0,$o)),list(X0))) > list(X0))).
% 8.42/2.11  tff(func_def_3696, type, sK3137: !>[X0: $tType]:((product_prod(fun(X0,fun(X0,$o)),list(X0))) > fun(X0,fun(X0,$o)))).
% 8.42/2.11  tff(func_def_3697, type, sK3138: (set(nat) * nat) > nat).
% 8.42/2.11  tff(func_def_3698, type, sK3139: !>[X0: $tType]:((set(set(X0))) > set(X0))).
% 8.42/2.11  tff(func_def_3699, type, sK3140: !>[X0: $tType]:((list(list(X0))) > list(X0))).
% 8.42/2.11  tff(func_def_3700, type, sK3141: fun(nat,$o) > nat).
% 8.42/2.11  tff(func_def_3701, type, sK3142: fun(extended_enat,$o) > extended_enat).
% 8.42/2.11  tff(func_def_3702, type, sK3143: fun(nat,$o) > nat).
% 8.42/2.11  tff(func_def_3703, type, sK3144: fun(nat,$o) > nat).
% 8.42/2.11  tff(func_def_3704, type, sK3145: (nat * set(nat)) > nat).
% 8.42/2.11  tff(func_def_3705, type, sK3146: (nat * fun(nat,$o)) > nat).
% 8.42/2.11  tff(func_def_3706, type, sK3147: !>[X0: $tType]:((set(filter(X0))) > set(filter(X0)))).
% 8.42/2.11  tff(func_def_3707, type, sK3148: !>[X0: $tType]:((fun(X0,fun(X0,$o))) > X0)).
% 8.42/2.11  tff(func_def_3708, type, sK3149: fun(nat,nat) > nat).
% 8.42/2.11  tff(func_def_3709, type, sK3150: fun(nat,real) > nat).
% 8.42/2.11  tff(func_def_3710, type, sK3151: fun(nat,real) > nat).
% 8.42/2.11  tff(func_def_3711, type, sK3152: (fun(nat,real) * real) > real).
% 8.42/2.11  tff(func_def_3712, type, sK3153: (fun(nat,real) * real) > nat).
% 8.42/2.11  tff(func_def_3713, type, sK3154: fun(nat,real) > nat).
% 8.42/2.11  tff(func_def_3714, type, sK3155: (fun(nat,real) * fun(nat,real)) > real).
% 8.42/2.11  tff(func_def_3715, type, sK3156: (fun(nat,real) * fun(nat,real)) > nat).
% 8.42/2.11  tff(func_def_3716, type, sK3157: fun(nat,real) > nat).
% 8.42/2.11  tff(func_def_3717, type, sK3158: fun(nat,real) > nat).
% 8.42/2.11  tff(func_def_3718, type, sK3159: !>[X0: $tType]:((product_prod(fun(X0,fun(X0,$o)),product_prod(option(X0),option(X0)))) > fun(X0,fun(X0,$o)))).
% 8.42/2.11  tff(func_def_3719, type, sK3160: !>[X0: $tType]:((product_prod(fun(X0,fun(X0,$o)),product_prod(option(X0),option(X0)))) > X0)).
% 8.42/2.11  tff(func_def_3720, type, sK3161: !>[X0: $tType]:((product_prod(fun(X0,fun(X0,$o)),product_prod(option(X0),option(X0)))) > X0)).
% 8.42/2.11  tff(func_def_3721, type, sK3162: !>[X0: $tType]:((product_prod(fun(X0,fun(X0,$o)),product_prod(option(X0),option(X0)))) > fun(X0,fun(X0,$o)))).
% 8.42/2.11  tff(func_def_3722, type, sK3163: !>[X0: $tType]:((product_prod(fun(X0,fun(X0,$o)),product_prod(option(X0),option(X0)))) > X0)).
% 8.42/2.11  tff(func_def_3723, type, sK3164: !>[X0: $tType]:((product_prod(fun(X0,fun(X0,$o)),product_prod(option(X0),option(X0)))) > fun(X0,fun(X0,$o)))).
% 8.42/2.11  tff(func_def_3724, type, sK3165: !>[X0: $tType]:((product_prod(fun(X0,fun(X0,$o)),product_prod(option(X0),option(X0)))) > option(X0))).
% 8.42/2.11  tff(func_def_3725, type, sK3166: !>[X0: $tType]:((product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0)))) > fun(X0,fun(X0,X0)))).
% 8.42/2.11  tff(func_def_3726, type, sK3167: !>[X0: $tType]:((product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0)))) > X0)).
% 8.42/2.11  tff(func_def_3727, type, sK3168: !>[X0: $tType]:((product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0)))) > X0)).
% 8.42/2.11  tff(func_def_3728, type, sK3169: !>[X0: $tType]:((product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0)))) > fun(X0,fun(X0,X0)))).
% 8.42/2.11  tff(func_def_3729, type, sK3170: !>[X0: $tType]:((product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0)))) > X0)).
% 8.42/2.11  tff(func_def_3730, type, sK3171: !>[X0: $tType]:((product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0)))) > fun(X0,fun(X0,X0)))).
% 8.42/2.11  tff(func_def_3731, type, sK3172: !>[X0: $tType]:((product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0)))) > option(X0))).
% 8.42/2.11  tff(func_def_3732, type, sK3173: fun(real,$o) > real).
% 8.42/2.11  tff(func_def_3733, type, sK3174: fun(real,$o) > real).
% 8.42/2.11  tff(func_def_3734, type, sK3175: fun(real,$o) > nat).
% 8.42/2.11  tff(func_def_3735, type, sK3176: fun(real,$o) > nat).
% 8.42/2.11  tff(func_def_3736, type, sK3177: fun(real,$o) > real).
% 8.42/2.11  tff(func_def_3737, type, sK3178: fun(real,$o) > real).
% 8.42/2.11  tff(func_def_3738, type, sK3179: (fun(nat,real) * fun(nat,real) * nat) > nat).
% 8.42/2.11  tff(func_def_3739, type, sK3180: (fun(nat,$o) * nat) > nat).
% 8.42/2.11  tff(func_def_3740, type, sK3181: fun(num,$o) > num).
% 8.42/2.11  tff(func_def_3741, type, sK3182: (fun(nat,$o) * nat) > nat).
% 8.42/2.11  tff(func_def_3742, type, sK3183: (fun(nat,$o) * nat) > nat).
% 8.42/2.11  tff(func_def_3743, type, sK3184: fun(nat,$o) > nat).
% 8.42/2.11  tff(func_def_3744, type, sK3185: fun(int,$o) > int).
% 8.42/2.11  tff(func_def_3745, type, sK3186: fun(int,$o) > int).
% 8.42/2.11  tff(func_def_3746, type, sK3187: fun(nat,$o) > nat).
% 8.42/2.11  tff(func_def_3747, type, sK3188: fun(nat,$o) > nat).
% 8.42/2.11  tff(func_def_3748, type, sK3189: fun(nat,$o) > nat).
% 8.42/2.11  tff(func_def_3749, type, sK3190: fun(nat,$o) > nat).
% 8.42/2.11  tff(func_def_3750, type, sK3191: fun(nat,$o) > nat).
% 8.42/2.11  tff(func_def_3751, type, sK3192: (vEBT_VEBT * nat) > nat).
% 8.42/2.11  tff(func_def_3752, type, sK3193: (vEBT_VEBT * nat) > nat).
% 8.42/2.11  tff(func_def_3753, type, sK3194: (vEBT_VEBT * nat) > nat).
% 8.42/2.11  tff(func_def_3754, type, sK3195: (vEBT_VEBT * nat) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_3755, type, sK3196: (vEBT_VEBT * nat) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_3756, type, sK3197: (vEBT_VEBT * nat) > $o).
% 8.42/2.11  tff(func_def_3757, type, sK3198: (vEBT_VEBT * nat) > $o).
% 8.42/2.11  tff(func_def_3758, type, sK3199: (nat * vEBT_VEBT) > $o).
% 8.42/2.11  tff(func_def_3759, type, sK3200: (nat * vEBT_VEBT) > $o).
% 8.42/2.11  tff(func_def_3760, type, sK3201: (vEBT_VEBT * nat) > nat).
% 8.42/2.11  tff(func_def_3761, type, sK3202: (vEBT_VEBT * nat) > nat).
% 8.42/2.11  tff(func_def_3762, type, sK3203: (vEBT_VEBT * nat) > nat).
% 8.42/2.11  tff(func_def_3763, type, sK3204: (vEBT_VEBT * nat) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_3764, type, sK3205: (vEBT_VEBT * nat) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_3765, type, sK3206: (real * real) > real).
% 8.42/2.11  tff(func_def_3766, type, sK3207: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_3767, type, sK3208: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_3768, type, sK3209: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_3769, type, sK3210: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_3770, type, sK3211: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_3771, type, sK3212: fun(int,$o) > int).
% 8.42/2.11  tff(func_def_3772, type, sK3213: (int * fun(int,$o)) > int).
% 8.42/2.11  tff(func_def_3773, type, sK3214: (int * fun(int,$o)) > int).
% 8.42/2.11  tff(func_def_3774, type, sK3215: (int * fun(int,$o)) > int).
% 8.42/2.11  tff(func_def_3775, type, sK3216: (real * real) > nat).
% 8.42/2.11  tff(func_def_3776, type, sK3217: (real * real) > nat).
% 8.42/2.11  tff(func_def_3777, type, sK3218: (real * nat) > real).
% 8.42/2.11  tff(func_def_3778, type, sK3219: (real * nat) > real).
% 8.42/2.11  tff(func_def_3779, type, sK3220: (real * nat) > real).
% 8.42/2.11  tff(func_def_3780, type, sK3221: (real * real) > real).
% 8.42/2.11  tff(func_def_3781, type, sK3222: (real * real) > real).
% 8.42/2.11  tff(func_def_3782, type, sK3223: (real * real) > nat).
% 8.42/2.11  tff(func_def_3783, type, sK3224: fun(nat,$o) > nat).
% 8.42/2.11  tff(func_def_3784, type, sK3225: (nat * real) > real).
% 8.42/2.11  tff(func_def_3785, type, sK3226: (nat * real) > real).
% 8.42/2.11  tff(func_def_3786, type, sK3227: (nat * real) > real).
% 8.42/2.11  tff(func_def_3787, type, sK3228: (nat * real) > real).
% 8.42/2.11  tff(func_def_3788, type, sK3229: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_3789, type, sK3230: nat > nat).
% 8.42/2.11  tff(func_def_3790, type, sK3231: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_3791, type, sK3232: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_3792, type, sK3233: !>[X0: $tType]:((list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_3793, type, sK3234: !>[X0: $tType]:((list(X0)) > X0)).
% 8.42/2.11  tff(func_def_3794, type, sK3235: !>[X0: $tType]:((list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_3795, type, sK3236: (set(nat) * nat) > nat).
% 8.42/2.11  tff(func_def_3796, type, sK3237: (set(nat) * nat) > nat).
% 8.42/2.11  tff(func_def_3797, type, sK3238: !>[X0: $tType]:((set(X0)) > X0)).
% 8.42/2.11  tff(func_def_3798, type, sK3239: vEBT_VEBT > $o).
% 8.42/2.11  tff(func_def_3799, type, sK3240: vEBT_VEBT > $o).
% 8.42/2.11  tff(func_def_3800, type, sK3241: (list(vEBT_VEBT) * nat) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_3801, type, sK3242: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_3802, type, sK3243: (nat * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_3803, type, sK3244: (nat * vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_3804, type, sK3245: (nat * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_3805, type, sK3246: (nat * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_3806, type, sK3247: (list(vEBT_VEBT) * nat) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_3807, type, sK3248: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_3808, type, sK3249: (nat * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_3809, type, sK3250: (nat * vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_3810, type, sK3251: (nat * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_3811, type, sK3252: (nat * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_3812, type, sK3253: list(vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_3813, type, sK3254: list(vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_3814, type, sK3255: vEBT_VEBT > nat).
% 8.42/2.11  tff(func_def_3815, type, sK3256: (list(vEBT_VEBT) * nat) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_3816, type, sK3257: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_3817, type, sK3258: (nat * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_3818, type, sK3259: (nat * vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_3819, type, sK3260: list(vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_3820, type, sK3261: list(vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_3821, type, sK3262: vEBT_VEBT > nat).
% 8.42/2.11  tff(func_def_3822, type, sK3263: (list(vEBT_VEBT) * nat) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_3823, type, sK3264: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_3824, type, sK3265: (nat * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_3825, type, sK3266: (nat * vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_3826, type, sK3267: list(vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_3827, type, sK3268: list(vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_3828, type, sK3269: (vEBT_VEBT * list(vEBT_VEBT) * nat) > nat).
% 8.42/2.11  tff(func_def_3829, type, sK3270: (vEBT_VEBT * list(vEBT_VEBT) * nat) > nat).
% 8.42/2.11  tff(func_def_3830, type, sK3271: (list(vEBT_VEBT) * nat) > nat).
% 8.42/2.11  tff(func_def_3831, type, sK3272: (list(vEBT_VEBT) * nat * nat * nat) > nat).
% 8.42/2.11  tff(func_def_3832, type, sK3273: (nat * nat * nat * nat * list(vEBT_VEBT)) > nat).
% 8.42/2.11  tff(func_def_3833, type, sK3274: list(vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_3834, type, sK3275: list(vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_3835, type, sK3276: (vEBT_VEBT * list(vEBT_VEBT) * nat) > nat).
% 8.42/2.11  tff(func_def_3836, type, sK3277: (vEBT_VEBT * list(vEBT_VEBT) * nat) > nat).
% 8.42/2.11  tff(func_def_3837, type, sK3278: (list(vEBT_VEBT) * nat) > nat).
% 8.42/2.11  tff(func_def_3838, type, sK3279: (list(vEBT_VEBT) * nat * nat * nat) > nat).
% 8.42/2.11  tff(func_def_3839, type, sK3280: (nat * nat * nat * nat * list(vEBT_VEBT)) > nat).
% 8.42/2.11  tff(func_def_3840, type, sK3281: !>[X0: $tType]:((list(X0)) > nat)).
% 8.42/2.11  tff(func_def_3841, type, sK3282: !>[X0: $tType]:((list(X0)) > nat)).
% 8.42/2.11  tff(func_def_3842, type, sK3283: !>[X0: $tType]:((set(X0)) > set(X0))).
% 8.42/2.11  tff(func_def_3843, type, sK3284: !>[X0: $tType]:((set(X0)) > X0)).
% 8.42/2.11  tff(func_def_3844, type, sK3285: !>[X0: $tType]:((set(X0)) > nat)).
% 8.42/2.11  tff(func_def_3845, type, sK3286: !>[X0: $tType]:((set(X0)) > fun(nat,X0))).
% 8.42/2.11  tff(func_def_3846, type, sK3287: !>[X0: $tType]:((option(X0)) > X0)).
% 8.42/2.11  tff(func_def_3847, type, sK3288: !>[X0: $tType]:((list(X0)) > X0)).
% 8.42/2.11  tff(func_def_3848, type, sK3289: !>[X0: $tType]:((list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_3849, type, sK3290: !>[X0: $tType]:((list(list(X0))) > list(X0))).
% 8.42/2.11  tff(func_def_3850, type, sK3291: !>[X0: $tType]:((list(list(X0))) > list(X0))).
% 8.42/2.11  tff(func_def_3851, type, sK3292: !>[X0: $tType]:((list(list(X0))) > list(X0))).
% 8.42/2.11  tff(func_def_3852, type, sK3293: (int * int) > int).
% 8.42/2.11  tff(func_def_3853, type, sK3294: !>[X0: $tType]:((list(list(X0))) > list(X0))).
% 8.42/2.11  tff(func_def_3854, type, sK3295: !>[X0: $tType]:((list(list(X0))) > list(X0))).
% 8.42/2.11  tff(func_def_3855, type, sK3296: !>[X0: $tType]:((list(list(X0))) > list(X0))).
% 8.42/2.11  tff(func_def_3856, type, sK3297: !>[X0: $tType]:((list(X0)) > X0)).
% 8.42/2.11  tff(func_def_3857, type, sK3298: !>[X0: $tType]:((list(X0)) > X0)).
% 8.42/2.11  tff(func_def_3858, type, sK3299: !>[X0: $tType]:((set(X0)) > X0)).
% 8.42/2.11  tff(func_def_3859, type, sK3300: !>[X0: $tType]:((fun(X0,$o)) > X0)).
% 8.42/2.11  tff(func_def_3860, type, sK3301: !>[X0: $tType]:((fun(X0,$o)) > X0)).
% 8.42/2.11  tff(func_def_3861, type, sK3302: !>[X0: $tType]:((set(set(X0))) > set(X0))).
% 8.42/2.11  tff(func_def_3862, type, sK3303: !>[X0: $tType]:((set(set(X0))) > set(X0))).
% 8.42/2.11  tff(func_def_3863, type, sK3304: !>[X0: $tType]:((set(X0)) > X0)).
% 8.42/2.11  tff(func_def_3864, type, sK3305: !>[X0: $tType]:((set(X0)) > X0)).
% 8.42/2.11  tff(func_def_3865, type, sK3306: !>[X0: $tType]:((set(X0)) > X0)).
% 8.42/2.11  tff(func_def_3866, type, sK3307: !>[X0: $tType]:((set(X0) * X0 * X0) > X0)).
% 8.42/2.11  tff(func_def_3867, type, sK3308: !>[X0: $tType]:((set(X0)) > X0)).
% 8.42/2.11  tff(func_def_3868, type, sK3309: !>[X0: $tType]:((set(X0)) > X0)).
% 8.42/2.11  tff(func_def_3869, type, sK3310: !>[X0: $tType]:((set(X0)) > X0)).
% 8.42/2.11  tff(func_def_3870, type, sK3311: !>[X0: $tType]:((set(X0)) > X0)).
% 8.42/2.11  tff(func_def_3871, type, sK3312: !>[X0: $tType]:((set(X0)) > X0)).
% 8.42/2.11  tff(func_def_3872, type, sK3313: !>[X0: $tType]:((option(X0)) > X0)).
% 8.42/2.11  tff(func_def_3873, type, sK3314: (nat * fun(nat,$o)) > nat).
% 8.42/2.11  tff(func_def_3874, type, sK3315: (nat * fun(nat,$o)) > nat).
% 8.42/2.11  tff(func_def_3875, type, sK3316: (nat * fun(nat,$o)) > nat).
% 8.42/2.11  tff(func_def_3876, type, sK3317: (nat * fun(nat,$o)) > nat).
% 8.42/2.11  tff(func_def_3877, type, sK3318: (fun(nat,$o) * nat) > nat).
% 8.42/2.11  tff(func_def_3878, type, sK3319: (nat * fun(nat,$o)) > nat).
% 8.42/2.11  tff(func_def_3879, type, sK3320: (fun(nat,$o) * nat) > nat).
% 8.42/2.11  tff(func_def_3880, type, sK3321: (nat * fun(nat,$o)) > nat).
% 8.42/2.11  tff(func_def_3881, type, sK3322: !>[X0: $tType]:((fun(option(X0),$o)) > X0)).
% 8.42/2.11  tff(func_def_3882, type, sK3323: !>[X0: $tType]:((fun(option(X0),$o)) > option(X0))).
% 8.42/2.11  tff(func_def_3883, type, sK3324: !>[X0: $tType]:((set(X0)) > X0)).
% 8.42/2.11  tff(func_def_3884, type, sK3325: (nat * fun(nat,$o)) > nat).
% 8.42/2.11  tff(func_def_3885, type, sK3326: (nat * fun(nat,$o)) > nat).
% 8.42/2.11  tff(func_def_3886, type, sK3327: (nat * fun(nat,$o)) > nat).
% 8.42/2.11  tff(func_def_3887, type, sK3328: (nat * fun(nat,$o)) > nat).
% 8.42/2.11  tff(func_def_3888, type, sK3329: (fun(nat,$o) * nat) > nat).
% 8.42/2.11  tff(func_def_3889, type, sK3330: (nat * fun(nat,$o)) > nat).
% 8.42/2.11  tff(func_def_3890, type, sK3331: (fun(nat,$o) * nat) > nat).
% 8.42/2.11  tff(func_def_3891, type, sK3332: (nat * fun(nat,$o)) > nat).
% 8.42/2.11  tff(func_def_3892, type, sK3333: !>[X0: $tType]:((fun(option(X0),$o)) > option(X0))).
% 8.42/2.11  tff(func_def_3893, type, sK3334: !>[X0: $tType]:((fun(option(X0),$o)) > X0)).
% 8.42/2.11  tff(func_def_3894, type, sK3335: (set(int) * int) > int).
% 8.42/2.11  tff(func_def_3895, type, sK3336: (int * int) > nat).
% 8.42/2.11  tff(func_def_3896, type, sK3337: (int * int) > nat).
% 8.42/2.11  tff(func_def_3897, type, sK3338: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_3898, type, sK3339: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_3899, type, sK3340: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_3900, type, sK3341: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_3901, type, sK3342: !>[X0: $tType]:((product_prod(fun(nat,fun(X0,X0)),product_prod(nat,product_prod(nat,X0)))) > fun(nat,fun(X0,X0)))).
% 8.42/2.11  tff(func_def_3902, type, sK3343: !>[X0: $tType]:((product_prod(fun(nat,fun(X0,X0)),product_prod(nat,product_prod(nat,X0)))) > nat)).
% 8.42/2.11  tff(func_def_3903, type, sK3344: !>[X0: $tType]:((product_prod(fun(nat,fun(X0,X0)),product_prod(nat,product_prod(nat,X0)))) > nat)).
% 8.42/2.11  tff(func_def_3904, type, sK3345: !>[X0: $tType]:((product_prod(fun(nat,fun(X0,X0)),product_prod(nat,product_prod(nat,X0)))) > X0)).
% 8.42/2.11  tff(func_def_3905, type, sK3346: !>[X0: $tType]:((nat) > list(X0))).
% 8.42/2.11  tff(func_def_3906, type, sK3347: (real * nat) > real).
% 8.42/2.11  tff(func_def_3907, type, sK3348: (real * nat) > real).
% 8.42/2.11  tff(func_def_3908, type, sK3349: (real * nat) > real).
% 8.42/2.11  tff(func_def_3909, type, sK3350: (real * nat) > real).
% 8.42/2.11  tff(func_def_3910, type, sK3351: (int * int) > int).
% 8.42/2.11  tff(func_def_3911, type, sK3352: (int * int) > int).
% 8.42/2.11  tff(func_def_3912, type, sK3353: (real * real) > real).
% 8.42/2.11  tff(func_def_3913, type, sK3354: (real * real) > real).
% 8.42/2.11  tff(func_def_3914, type, sK3355: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_3915, type, sK3356: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_3916, type, sK3357: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_3917, type, sK3358: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_3918, type, sK3359: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_3919, type, sK3360: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_3920, type, sK3361: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_3921, type, sK3362: (nat * nat) > nat).
% 8.42/2.11  tff(func_def_3922, type, sK3363: !>[X0: $tType, X1: $tType, X2: $tType]:((set(X1) * fun(X2,fun(X1,X0)) * filter(X2)) > X1)).
% 8.42/2.11  tff(func_def_3923, type, sK3364: !>[X0: $tType, X1: $tType, X2: $tType]:((set(X2) * fun(X0,X1) * fun(X2,X0)) > X2)).
% 8.42/2.11  tff(func_def_3924, type, sK3365: !>[X0: $tType, X1: $tType, X2: $tType]:((set(X0) * set(X2) * fun(X2,X1) * fun(X2,X0) * fun(X0,X1)) > X0)).
% 8.42/2.11  tff(func_def_3925, type, sK3366: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3926, type, sK3367: !>[X0: $tType, X1: $tType, X2: $tType]:((set(X0) * set(X2) * fun(X2,X1) * fun(X0,X1)) > X2)).
% 8.42/2.11  tff(func_def_3927, type, sK3368: !>[X0: $tType, X1: $tType, X2: $tType]:((set(X0) * set(X2) * fun(X2,X1) * fun(X0,X1)) > X0)).
% 8.42/2.11  tff(func_def_3928, type, sK3369: !>[X0: $tType, X1: $tType, X2: $tType]:((set(X0) * set(X2) * fun(X0,X1) * fun(X2,X1)) > X2)).
% 8.42/2.11  tff(func_def_3929, type, sK3370: !>[X0: $tType, X1: $tType, X2: $tType]:((set(X0) * set(X2) * fun(X0,X1) * fun(X2,X1)) > X0)).
% 8.42/2.11  tff(func_def_3930, type, sK3371: !>[X0: $tType, X1: $tType, X2: $tType]:((set(X2) * set(X0) * fun(X0,X1) * fun(X2,X1)) > X2)).
% 8.42/2.11  tff(func_def_3931, type, sK3372: !>[X0: $tType, X1: $tType, X2: $tType]:((set(X0) * set(X2) * fun(X0,X1) * fun(X2,X1)) > X0)).
% 8.42/2.11  tff(func_def_3932, type, sK3373: !>[X0: $tType, X1: $tType]:((fun(X1,set(X0)) * set(X1)) > X1)).
% 8.42/2.11  tff(func_def_3933, type, sK3374: !>[X0: $tType, X1: $tType]:((fun(X1,set(X0)) * set(X1)) > X1)).
% 8.42/2.11  tff(func_def_3934, type, sK3375: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,set(X0))) > X1)).
% 8.42/2.11  tff(func_def_3935, type, sK3376: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3936, type, sK3377: !>[X0: $tType, X1: $tType, X2: $tType]:((set(X0) * fun(X0,X2) * fun(X2,X1)) > X0)).
% 8.42/2.11  tff(func_def_3937, type, sK3378: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1)) > X1)).
% 8.42/2.11  tff(func_def_3938, type, sK3379: !>[X0: $tType, X1: $tType]:((set(X0) * set(X0) * fun(X1,X0) * set(X1) * set(X1)) > X1)).
% 8.42/2.11  tff(func_def_3939, type, sK3380: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X0,X1) * set(X1) * set(X1)) > X1)).
% 8.42/2.11  tff(func_def_3940, type, sK3381: !>[X0: $tType, X1: $tType]:((set(X0) * set(X0) * fun(X1,X0) * set(X1) * set(X1)) > X1)).
% 8.42/2.11  tff(func_def_3941, type, sK3382: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X0,X1) * set(X1) * set(X1)) > X1)).
% 8.42/2.11  tff(func_def_3942, type, sK3383: !>[X0: $tType, X1: $tType, X2: $tType]:((set(X0) * fun(X0,X2) * fun(X0,X1) * fun(X2,X1)) > X0)).
% 8.42/2.11  tff(func_def_3943, type, sK3384: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3944, type, sK3385: !>[X0: $tType, X1: $tType]:((fun(X1,set(X0)) * set(X1)) > X1)).
% 8.42/2.11  tff(func_def_3945, type, sK3386: !>[X0: $tType, X1: $tType]:((fun(X1,set(X0)) * set(X1)) > X1)).
% 8.42/2.11  tff(func_def_3946, type, sK3387: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,set(X0))) > X1)).
% 8.42/2.11  tff(func_def_3947, type, sK3388: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X1,X0) * fun(X0,X2) * set(X1)) > X1)).
% 8.42/2.11  tff(func_def_3948, type, sK3389: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X1,X0) * fun(X0,X2) * set(X1)) > X1)).
% 8.42/2.11  tff(func_def_3949, type, sK3390: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3950, type, sK3391: !>[X0: $tType, X1: $tType, X2: $tType]:((set(X0) * fun(X0,X2) * fun(X2,X1)) > X0)).
% 8.42/2.11  tff(func_def_3951, type, sK3392: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1)) > X1)).
% 8.42/2.11  tff(func_def_3952, type, sK3393: !>[X0: $tType, X1: $tType]:((set(X0) * set(X0) * fun(X1,X0) * set(X1) * set(X1)) > X1)).
% 8.42/2.11  tff(func_def_3953, type, sK3394: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X0,X1) * set(X1) * set(X1)) > X1)).
% 8.42/2.11  tff(func_def_3954, type, sK3395: !>[X0: $tType, X1: $tType]:((set(X0) * set(X0) * fun(X1,X0) * set(X1) * set(X1)) > X1)).
% 8.42/2.11  tff(func_def_3955, type, sK3396: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X0,X1) * set(X1) * set(X1)) > X1)).
% 8.42/2.11  tff(func_def_3956, type, sK3397: !>[X0: $tType, X1: $tType, X2: $tType]:((set(X0) * fun(X0,X2) * fun(X0,X1) * fun(X2,X1)) > X0)).
% 8.42/2.11  tff(func_def_3957, type, sK3398: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_3958, type, sK3399: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,set(X0))) > X1)).
% 8.42/2.11  tff(func_def_3959, type, sK3400: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,set(X0))) > X1)).
% 8.42/2.11  tff(func_def_3960, type, sK3401: !>[X0: $tType, X1: $tType, X2: $tType]:((set(X0) * fun(X2,X1) * set(X2) * fun(X0,X1)) > X0)).
% 8.42/2.11  tff(func_def_3961, type, sK3402: !>[X0: $tType, X1: $tType, X2: $tType]:((set(X2) * fun(X0,X1) * set(X0) * fun(X2,X1)) > X2)).
% 8.42/2.11  tff(func_def_3962, type, sK3403: !>[X0: $tType]:((set(X0) * X0) > fun(X0,X0))).
% 8.42/2.11  tff(func_def_3963, type, sK3404: !>[X0: $tType]:((set(X0) * X0) > fun(X0,X0))).
% 8.42/2.11  tff(func_def_3964, type, sK3405: !>[X0: $tType]:((set(X0) * nat) > set(X0))).
% 8.42/2.11  tff(func_def_3965, type, sK3406: !>[X0: $tType]:((list(X0) * X0) > nat)).
% 8.42/2.11  tff(func_def_3966, type, sK3407: !>[X0: $tType]:((fun(set(X0),$o)) > X0)).
% 8.42/2.11  tff(func_def_3967, type, sK3408: !>[X0: $tType]:((fun(set(X0),$o)) > set(X0))).
% 8.42/2.11  tff(func_def_3968, type, sK3409: !>[X0: $tType]:((fun(set(X0),$o)) > X0)).
% 8.42/2.11  tff(func_def_3969, type, sK3410: !>[X0: $tType]:((fun(X0,fun(X0,$o))) > X0)).
% 8.42/2.11  tff(func_def_3970, type, sK3411: !>[X0: $tType]:((fun(X0,fun(X0,$o))) > X0)).
% 8.42/2.11  tff(func_def_3971, type, sK3412: !>[X0: $tType]:((fun(X0,fun(X0,$o))) > X0)).
% 8.42/2.11  tff(func_def_3972, type, sK3413: !>[X0: $tType]:((set(X0) * fun(X0,fun(X0,$o))) > X0)).
% 8.42/2.11  tff(func_def_3973, type, sK3414: !>[X0: $tType]:((fun(X0,fun(X0,$o))) > X0)).
% 8.42/2.11  tff(func_def_3974, type, sK3415: !>[X0: $tType]:((fun(set(X0),$o)) > X0)).
% 8.42/2.11  tff(func_def_3975, type, sK3416: !>[X0: $tType]:((fun(set(X0),$o)) > set(X0))).
% 8.42/2.11  tff(func_def_3976, type, sK3417: !>[X0: $tType]:((fun(set(X0),$o) * set(X0)) > set(X0))).
% 8.42/2.11  tff(func_def_3977, type, sK3418: !>[X0: $tType]:((set(X0) * fun(set(X0),$o)) > set(X0))).
% 8.42/2.11  tff(func_def_3978, type, sK3419: !>[X0: $tType]:((fun(set(X0),$o)) > X0)).
% 8.42/2.11  tff(func_def_3979, type, sK3420: !>[X0: $tType]:((fun(set(X0),$o)) > set(X0))).
% 8.42/2.11  tff(func_def_3980, type, sK3421: !>[X0: $tType]:((set(X0) * set(set(X0))) > set(set(X0)))).
% 8.42/2.11  tff(func_def_3981, type, sK3422: !>[X0: $tType]:((set(X0) * fun(X0,nat)) > X0)).
% 8.42/2.11  tff(func_def_3982, type, sK3423: !>[X0: $tType]:((fun(X0,nat) * set(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_3983, type, sK3424: !>[X0: $tType]:((fun(X0,nat) * set(X0)) > X0)).
% 8.42/2.11  tff(func_def_3984, type, sK3425: !>[X0: $tType]:((set(X0) * fun(X0,nat)) > X0)).
% 8.42/2.11  tff(func_def_3985, type, sK3426: !>[X0: $tType]:((list(X0) * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_3986, type, sK3427: !>[X0: $tType]:((list(X0) * list(X0)) > X0)).
% 8.42/2.11  tff(func_def_3987, type, sK3428: !>[X0: $tType]:((list(X0) * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_3988, type, sK3429: !>[X0: $tType]:((list(X0) * list(X0)) > X0)).
% 8.42/2.11  tff(func_def_3989, type, sK3430: !>[X0: $tType]:((list(X0) * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_3990, type, sK3431: !>[X0: $tType]:((fun(X0,fun(X0,$o)) * list(X0)) > X0)).
% 8.42/2.11  tff(func_def_3991, type, sK3432: !>[X0: $tType]:((fun(X0,fun(X0,$o)) * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_3992, type, sK3433: !>[X0: $tType]:((fun(X0,fun(X0,$o)) * list(X0)) > X0)).
% 8.42/2.11  tff(func_def_3993, type, sK3434: !>[X0: $tType]:((fun(X0,fun(X0,$o)) * list(X0)) > X0)).
% 8.42/2.11  tff(func_def_3994, type, sK3435: !>[X0: $tType]:((fun(X0,fun(X0,$o)) * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_3995, type, sK3436: !>[X0: $tType]:((fun(X0,fun(X0,$o)) * list(X0)) > X0)).
% 8.42/2.11  tff(func_def_3996, type, sK3437: !>[X0: $tType]:((set(set(X0))) > set(X0))).
% 8.42/2.11  tff(func_def_3997, type, sK3438: !>[X0: $tType]:((set(set(X0))) > set(X0))).
% 8.42/2.11  tff(func_def_3998, type, sK3439: !>[X0: $tType]:((set(set(X0)) * nat) > set(X0))).
% 8.42/2.11  tff(func_def_3999, type, sK3440: (int * int * product_prod(int,int)) > int).
% 8.42/2.11  tff(func_def_4000, type, sK3441: (int * int * product_prod(int,int)) > int).
% 8.42/2.11  tff(func_def_4001, type, sK3442: (int * int * product_prod(int,int)) > int).
% 8.42/2.11  tff(func_def_4002, type, sK3443: !>[X0: $tType]:((fun(X0,fun(X0,$o)) * list(X0)) > X0)).
% 8.42/2.11  tff(func_def_4003, type, sK3444: !>[X0: $tType]:((fun(X0,fun(X0,$o)) * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_4004, type, sK3445: !>[X0: $tType]:((fun(X0,fun(X0,$o)) * list(X0)) > X0)).
% 8.42/2.11  tff(func_def_4005, type, sK3446: !>[X0: $tType]:((fun(X0,fun(X0,$o)) * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_4006, type, sK3447: !>[X0: $tType]:((list(X0) * list(X0)) > nat)).
% 8.42/2.11  tff(func_def_4007, type, sK3448: !>[X0: $tType]:((list(X0) * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_4008, type, sK3449: !>[X0: $tType]:((fun(list(X0),$o)) > X0)).
% 8.42/2.11  tff(func_def_4009, type, sK3450: !>[X0: $tType]:((fun(list(X0),$o)) > list(X0))).
% 8.42/2.11  tff(func_def_4010, type, sK3451: !>[X0: $tType]:((fun(list(X0),$o)) > X0)).
% 8.42/2.11  tff(func_def_4011, type, sK3452: !>[X0: $tType]:((fun(list(X0),$o)) > X0)).
% 8.42/2.11  tff(func_def_4012, type, sK3453: !>[X0: $tType]:((fun(list(X0),$o)) > list(X0))).
% 8.42/2.11  tff(func_def_4013, type, sK3454: !>[X0: $tType]:((fun(list(X0),$o)) > X0)).
% 8.42/2.11  tff(func_def_4014, type, sK3455: !>[X0: $tType]:((set(X0) * set(set(X0))) > set(X0))).
% 8.42/2.11  tff(func_def_4015, type, sK3456: !>[X0: $tType]:((set(X0) * set(set(X0))) > set(X0))).
% 8.42/2.11  tff(func_def_4016, type, sK3457: (vEBT_VEBT * vEBT_VEBT) > option(product_prod(nat,nat))).
% 8.42/2.11  tff(func_def_4017, type, sK3458: (vEBT_VEBT * vEBT_VEBT) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_4018, type, sK3459: (vEBT_VEBT * vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_4019, type, sK3460: (vEBT_VEBT * vEBT_VEBT) > option(product_prod(nat,nat))).
% 8.42/2.11  tff(func_def_4020, type, sK3461: (vEBT_VEBT * vEBT_VEBT) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_4021, type, sK3462: (vEBT_VEBT * vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_4022, type, sK3463: (vEBT_VEBT * nat * vEBT_VEBT) > $o).
% 8.42/2.11  tff(func_def_4023, type, sK3464: (vEBT_VEBT * nat * vEBT_VEBT) > $o).
% 8.42/2.11  tff(func_def_4024, type, sK3465: (vEBT_VEBT * nat * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_4025, type, sK3466: (vEBT_VEBT * nat * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_4026, type, sK3467: (vEBT_VEBT * nat * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_4027, type, sK3468: (vEBT_VEBT * nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_4028, type, sK3469: (vEBT_VEBT * nat * vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_4029, type, sK3470: (vEBT_VEBT * nat * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_4030, type, sK3471: (vEBT_VEBT * nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_4031, type, sK3472: (vEBT_VEBT * nat * vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_4032, type, sK3473: (nat * vEBT_VEBT * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_4033, type, sK3474: (nat * vEBT_VEBT * vEBT_VEBT) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_4034, type, sK3475: (nat * vEBT_VEBT * vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_4035, type, sK3476: (nat * vEBT_VEBT * vEBT_VEBT) > option(product_prod(nat,nat))).
% 8.42/2.11  tff(func_def_4036, type, sK3477: (nat * vEBT_VEBT * vEBT_VEBT) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_4037, type, sK3478: (nat * vEBT_VEBT * vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_4038, type, sK3479: (nat * vEBT_VEBT * vEBT_VEBT) > option(product_prod(nat,nat))).
% 8.42/2.11  tff(func_def_4039, type, sK3480: (nat * vEBT_VEBT * vEBT_VEBT) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_4040, type, sK3481: (nat * vEBT_VEBT * vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_4041, type, sK3482: (nat * vEBT_VEBT * vEBT_VEBT) > $o).
% 8.42/2.11  tff(func_def_4042, type, sK3483: (nat * vEBT_VEBT * vEBT_VEBT) > $o).
% 8.42/2.11  tff(func_def_4043, type, sK3484: (vEBT_VEBT * nat * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_4044, type, sK3485: (vEBT_VEBT * nat * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_4045, type, sK3486: (vEBT_VEBT * nat * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_4046, type, sK3487: (vEBT_VEBT * nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_4047, type, sK3488: (vEBT_VEBT * nat * vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_4048, type, sK3489: (num * num * num) > num).
% 8.42/2.11  tff(func_def_4049, type, sK3490: (num * num * num) > num).
% 8.42/2.11  tff(func_def_4050, type, sK3491: num > num).
% 8.42/2.11  tff(func_def_4051, type, sK3492: (num * num * num) > num).
% 8.42/2.11  tff(func_def_4052, type, sK3493: (num * num * num) > num).
% 8.42/2.11  tff(func_def_4053, type, sK3494: (num * num * num) > num).
% 8.42/2.11  tff(func_def_4054, type, sK3495: (num * num * num) > num).
% 8.42/2.11  tff(func_def_4055, type, sK3496: num > num).
% 8.42/2.11  tff(func_def_4056, type, sK3497: (num * num) > num).
% 8.42/2.11  tff(func_def_4057, type, sK3498: (num * num) > num).
% 8.42/2.11  tff(func_def_4058, type, sK3499: (num * num * num) > num).
% 8.42/2.11  tff(func_def_4059, type, sK3500: (num * num * num) > num).
% 8.42/2.11  tff(func_def_4060, type, sK3501: (num * num * num) > num).
% 8.42/2.11  tff(func_def_4061, type, sK3502: (num * num * num) > num).
% 8.42/2.11  tff(func_def_4062, type, sK3503: (num * num * num) > num).
% 8.42/2.11  tff(func_def_4063, type, sK3504: (num * num * num) > num).
% 8.42/2.11  tff(func_def_4064, type, sK3505: (num * num * num) > num).
% 8.42/2.11  tff(func_def_4065, type, sK3506: (num * num * num) > num).
% 8.42/2.11  tff(func_def_4066, type, sK3507: (num * num * num) > num).
% 8.42/2.11  tff(func_def_4067, type, sK3508: (num * num * num) > num).
% 8.42/2.11  tff(func_def_4068, type, sK3509: (num * num) > num).
% 8.42/2.11  tff(func_def_4069, type, sK3510: (num * num) > num).
% 8.42/2.11  tff(func_def_4070, type, sK3511: (num * num * num) > num).
% 8.42/2.11  tff(func_def_4071, type, sK3512: (num * num * num) > num).
% 8.42/2.11  tff(func_def_4072, type, sK3513: vEBT_VEBT > product_prod(nat,nat)).
% 8.42/2.11  tff(func_def_4073, type, sK3514: vEBT_VEBT > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_4074, type, sK3515: vEBT_VEBT > vEBT_VEBT).
% 8.42/2.11  tff(func_def_4075, type, sK3516: vEBT_VEBT > nat).
% 8.42/2.11  tff(func_def_4076, type, sK3517: vEBT_VEBT > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_4077, type, sK3518: vEBT_VEBT > vEBT_VEBT).
% 8.42/2.11  tff(func_def_4078, type, sK3519: (option(nat) * nat * vEBT_VEBT) > $o).
% 8.42/2.11  tff(func_def_4079, type, sK3520: (option(nat) * nat * vEBT_VEBT) > $o).
% 8.42/2.11  tff(func_def_4080, type, sK3521: nat > nat).
% 8.42/2.11  tff(func_def_4081, type, sK3522: (option(nat) * nat * vEBT_VEBT) > $o).
% 8.42/2.11  tff(func_def_4082, type, sK3523: (option(nat) * nat * vEBT_VEBT) > $o).
% 8.42/2.11  tff(func_def_4083, type, sK3524: vEBT_VEBT > $o).
% 8.42/2.11  tff(func_def_4084, type, sK3525: vEBT_VEBT > $o).
% 8.42/2.11  tff(func_def_4085, type, sK3526: (vEBT_VEBT * nat * option(nat)) > nat).
% 8.42/2.11  tff(func_def_4086, type, sK3527: (vEBT_VEBT * nat * option(nat)) > nat).
% 8.42/2.11  tff(func_def_4087, type, sK3528: (vEBT_VEBT * nat * option(nat)) > nat).
% 8.42/2.11  tff(func_def_4088, type, sK3529: (vEBT_VEBT * nat * option(nat)) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_4089, type, sK3530: (vEBT_VEBT * nat * option(nat)) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_4090, type, sK3531: vEBT_VEBT > product_prod(nat,nat)).
% 8.42/2.11  tff(func_def_4091, type, sK3532: vEBT_VEBT > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_4092, type, sK3533: vEBT_VEBT > vEBT_VEBT).
% 8.42/2.11  tff(func_def_4093, type, sK3534: (nat * option(nat) * vEBT_VEBT) > product_prod(nat,nat)).
% 8.42/2.11  tff(func_def_4094, type, sK3535: (nat * option(nat) * vEBT_VEBT) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_4095, type, sK3536: (nat * option(nat) * vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_4096, type, sK3537: (nat * option(nat) * vEBT_VEBT) > product_prod(nat,nat)).
% 8.42/2.11  tff(func_def_4097, type, sK3538: (nat * option(nat) * vEBT_VEBT) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_4098, type, sK3539: (nat * option(nat) * vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_4099, type, sK3540: (nat * option(nat) * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_4100, type, sK3541: (nat * option(nat) * vEBT_VEBT) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_4101, type, sK3542: (nat * option(nat) * vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_4102, type, sK3543: (option(nat) * nat * vEBT_VEBT) > $o).
% 8.42/2.11  tff(func_def_4103, type, sK3544: (option(nat) * nat * vEBT_VEBT) > $o).
% 8.42/2.11  tff(func_def_4104, type, sK3545: (option(nat) * nat * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_4105, type, sK3546: (option(nat) * nat * vEBT_VEBT) > $o).
% 8.42/2.11  tff(func_def_4106, type, sK3547: (option(nat) * nat * vEBT_VEBT) > $o).
% 8.42/2.11  tff(func_def_4107, type, sK3548: (option(nat) * nat * vEBT_VEBT) > $o).
% 8.42/2.11  tff(func_def_4108, type, sK3549: (option(nat) * nat * vEBT_VEBT) > $o).
% 8.42/2.11  tff(func_def_4109, type, sK3550: (vEBT_VEBT * nat * option(nat)) > nat).
% 8.42/2.11  tff(func_def_4110, type, sK3551: (vEBT_VEBT * nat * option(nat)) > nat).
% 8.42/2.11  tff(func_def_4111, type, sK3552: (vEBT_VEBT * nat * option(nat)) > nat).
% 8.42/2.11  tff(func_def_4112, type, sK3553: (vEBT_VEBT * nat * option(nat)) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_4113, type, sK3554: (vEBT_VEBT * nat * option(nat)) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_4114, type, sK3555: (option(num) * num * num) > num).
% 8.42/2.11  tff(func_def_4115, type, sK3556: (option(num) * num * num) > num).
% 8.42/2.11  tff(func_def_4116, type, sK3557: (option(num) * num * num) > num).
% 8.42/2.11  tff(func_def_4117, type, sK3558: (option(num) * num * num) > num).
% 8.42/2.11  tff(func_def_4118, type, sK3559: (option(num) * num * num) > num).
% 8.42/2.11  tff(func_def_4119, type, sK3560: (option(num) * num * num) > num).
% 8.42/2.11  tff(func_def_4120, type, sK3561: (option(num) * num * num) > num).
% 8.42/2.11  tff(func_def_4121, type, sK3562: (option(num) * num * num) > num).
% 8.42/2.11  tff(func_def_4122, type, sK3563: num > num).
% 8.42/2.11  tff(func_def_4123, type, sK3564: num > num).
% 8.42/2.11  tff(func_def_4124, type, sK3565: (num * num * option(num)) > num).
% 8.42/2.11  tff(func_def_4125, type, sK3566: (num * num * option(num)) > num).
% 8.42/2.11  tff(func_def_4126, type, sK3567: !>[X0: $tType]:((list(X0) * list(X0)) > X0)).
% 8.42/2.11  tff(func_def_4127, type, sK3568: !>[X0: $tType]:((list(X0) * list(X0)) > X0)).
% 8.42/2.11  tff(func_def_4128, type, sK3569: !>[X0: $tType]:((list(X0) * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_4129, type, sK3570: !>[X0: $tType]:((list(X0) * list(X0)) > X0)).
% 8.42/2.11  tff(func_def_4130, type, sK3571: !>[X0: $tType]:((list(X0) * list(X0)) > X0)).
% 8.42/2.11  tff(func_def_4131, type, sK3572: !>[X0: $tType]:((list(X0) * list(X0)) > X0)).
% 8.42/2.11  tff(func_def_4132, type, sK3573: !>[X0: $tType]:((list(X0) * list(X0)) > X0)).
% 8.42/2.11  tff(func_def_4133, type, sK3574: !>[X0: $tType]:((list(X0) * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_4134, type, sK3575: (option(num) * num * num) > num).
% 8.42/2.11  tff(func_def_4135, type, sK3576: (option(num) * num * num) > num).
% 8.42/2.11  tff(func_def_4136, type, sK3577: (option(num) * num * num) > num).
% 8.42/2.11  tff(func_def_4137, type, sK3578: (option(num) * num * num) > num).
% 8.42/2.11  tff(func_def_4138, type, sK3579: (option(num) * num * num) > num).
% 8.42/2.11  tff(func_def_4139, type, sK3580: (option(num) * num * num) > num).
% 8.42/2.11  tff(func_def_4140, type, sK3581: (option(num) * num * num) > num).
% 8.42/2.11  tff(func_def_4141, type, sK3582: (option(num) * num * num) > num).
% 8.42/2.11  tff(func_def_4142, type, sK3583: (option(num) * num) > num).
% 8.42/2.11  tff(func_def_4143, type, sK3584: (option(num) * num) > num).
% 8.42/2.11  tff(func_def_4144, type, sK3585: (num * num * option(num)) > num).
% 8.42/2.11  tff(func_def_4145, type, sK3586: (num * num * option(num)) > num).
% 8.42/2.11  tff(func_def_4146, type, sK3587: !>[X0: $tType]:((list(list(X0)) * list(list(X0))) > X0)).
% 8.42/2.11  tff(func_def_4147, type, sK3588: !>[X0: $tType]:((list(list(X0)) * list(list(X0))) > list(X0))).
% 8.42/2.11  tff(func_def_4148, type, sK3589: !>[X0: $tType]:((list(list(X0)) * list(list(X0))) > list(list(X0)))).
% 8.42/2.11  tff(func_def_4149, type, sK3590: !>[X0: $tType]:((list(list(X0)) * list(list(X0))) > list(list(X0)))).
% 8.42/2.11  tff(func_def_4150, type, sK3591: !>[X0: $tType]:((list(list(X0)) * list(list(X0))) > list(list(X0)))).
% 8.42/2.11  tff(func_def_4151, type, sK3592: !>[X0: $tType]:((list(list(X0)) * list(list(X0))) > X0)).
% 8.42/2.11  tff(func_def_4152, type, sK3593: !>[X0: $tType]:((list(list(X0)) * list(list(X0))) > list(X0))).
% 8.42/2.11  tff(func_def_4153, type, sK3594: !>[X0: $tType]:((list(list(X0)) * list(list(X0))) > list(list(X0)))).
% 8.42/2.11  tff(func_def_4154, type, sK3595: !>[X0: $tType]:((set(filter(X0))) > filter(X0))).
% 8.42/2.11  tff(func_def_4155, type, sK3596: !>[X0: $tType]:((set(filter(X0))) > filter(X0))).
% 8.42/2.11  tff(func_def_4156, type, sK3597: !>[X0: $tType]:((set(filter(X0)) * fun(X0,$o)) > filter(X0))).
% 8.42/2.11  tff(func_def_4157, type, sK3598: !>[X0: $tType]:((product_prod(X0,X0) * set(X0)) > X0)).
% 8.42/2.11  tff(func_def_4158, type, sK3599: (nat * nat * nat) > nat).
% 8.42/2.11  tff(func_def_4159, type, sK3600: (nat * nat * nat) > nat).
% 8.42/2.11  tff(func_def_4160, type, sK3601: (nat * nat * nat) > nat).
% 8.42/2.11  tff(func_def_4161, type, sK3602: (fun(real,real) * real) > real).
% 8.42/2.11  tff(func_def_4162, type, sK3603: (fun(real,real) * real) > real).
% 8.42/2.11  tff(func_def_4163, type, sK3604: (fun(real,real) * real) > real).
% 8.42/2.11  tff(func_def_4164, type, sK3605: (fun(real,real) * real) > real).
% 8.42/2.11  tff(func_def_4165, type, sK3606: !>[X0: $tType]:((X0 * list(X0)) > X0)).
% 8.42/2.11  tff(func_def_4166, type, sK3607: !>[X0: $tType]:((X0 * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_4167, type, sK3608: !>[X0: $tType]:((X0 * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_4168, type, sK3609: !>[X0: $tType]:((X0 * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_4169, type, sK3610: !>[X0: $tType]:((X0 * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_4170, type, sK3611: !>[X0: $tType]:((X0 * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_4171, type, sK3612: !>[X0: $tType]:((X0 * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_4172, type, sK3613: !>[X0: $tType]:((X0 * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_4173, type, sK3614: !>[X0: $tType]:((X0 * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_4174, type, sK3615: !>[X0: $tType]:((set(set(X0))) > set(X0))).
% 8.42/2.11  tff(func_def_4175, type, sK3616: !>[X0: $tType]:((set(set(X0))) > set(X0))).
% 8.42/2.11  tff(func_def_4176, type, sK3617: !>[X0: $tType]:((set(set(X0)) * nat) > set(X0))).
% 8.42/2.11  tff(func_def_4177, type, sK3618: !>[X0: $tType]:((set(X0) * nat) > X0)).
% 8.42/2.11  tff(func_def_4178, type, sK3619: !>[X0: $tType]:((set(X0) * nat) > set(X0))).
% 8.42/2.11  tff(func_def_4179, type, sK3620: (fun(real,real) * real) > real).
% 8.42/2.11  tff(func_def_4180, type, sK3621: (fun(real,real) * real) > real).
% 8.42/2.11  tff(func_def_4181, type, sK3622: (fun(real,real) * real) > real).
% 8.42/2.11  tff(func_def_4182, type, sK3623: (option(num) * num * num) > num).
% 8.42/2.11  tff(func_def_4183, type, sK3624: (option(num) * num * num) > num).
% 8.42/2.11  tff(func_def_4184, type, sK3625: (option(num) * num * num) > num).
% 8.42/2.11  tff(func_def_4185, type, sK3626: (option(num) * num * num) > num).
% 8.42/2.11  tff(func_def_4186, type, sK3627: (option(num) * num * num) > num).
% 8.42/2.11  tff(func_def_4187, type, sK3628: (option(num) * num * num) > num).
% 8.42/2.11  tff(func_def_4188, type, sK3629: (option(num) * num * num) > num).
% 8.42/2.11  tff(func_def_4189, type, sK3630: (option(num) * num * num) > num).
% 8.42/2.11  tff(func_def_4190, type, sK3631: (option(num) * num) > num).
% 8.42/2.11  tff(func_def_4191, type, sK3632: (option(num) * num) > num).
% 8.42/2.11  tff(func_def_4192, type, sK3633: (num * num * option(num)) > num).
% 8.42/2.11  tff(func_def_4193, type, sK3634: (num * num * option(num)) > num).
% 8.42/2.11  tff(func_def_4194, type, sK3635: (option(num) * num * num) > num).
% 8.42/2.11  tff(func_def_4195, type, sK3636: (option(num) * num * num) > num).
% 8.42/2.11  tff(func_def_4196, type, sK3637: num > num).
% 8.42/2.11  tff(func_def_4197, type, sK3638: (option(num) * num * num) > num).
% 8.42/2.11  tff(func_def_4198, type, sK3639: (option(num) * num * num) > num).
% 8.42/2.11  tff(func_def_4199, type, sK3640: (option(num) * num * num) > num).
% 8.42/2.11  tff(func_def_4200, type, sK3641: (option(num) * num * num) > num).
% 8.42/2.11  tff(func_def_4201, type, sK3642: num > num).
% 8.42/2.11  tff(func_def_4202, type, sK3643: num > num).
% 8.42/2.11  tff(func_def_4203, type, sK3644: num > num).
% 8.42/2.11  tff(func_def_4204, type, sK3645: (num * num * option(num)) > num).
% 8.42/2.11  tff(func_def_4205, type, sK3646: (num * num * option(num)) > num).
% 8.42/2.11  tff(func_def_4206, type, sK3647: (option(num) * num * num) > num).
% 8.42/2.11  tff(func_def_4207, type, sK3648: (option(num) * num * num) > num).
% 8.42/2.11  tff(func_def_4208, type, sK3649: (option(num) * num * num) > num).
% 8.42/2.11  tff(func_def_4209, type, sK3650: (option(num) * num * num) > num).
% 8.42/2.11  tff(func_def_4210, type, sK3651: (option(num) * num * num) > num).
% 8.42/2.11  tff(func_def_4211, type, sK3652: (option(num) * num * num) > num).
% 8.42/2.11  tff(func_def_4212, type, sK3653: (option(num) * num * num) > num).
% 8.42/2.11  tff(func_def_4213, type, sK3654: (option(num) * num * num) > num).
% 8.42/2.11  tff(func_def_4214, type, sK3655: (option(num) * num) > num).
% 8.42/2.11  tff(func_def_4215, type, sK3656: (option(num) * num) > num).
% 8.42/2.11  tff(func_def_4216, type, sK3657: (num * num * option(num)) > num).
% 8.42/2.11  tff(func_def_4217, type, sK3658: (num * num * option(num)) > num).
% 8.42/2.11  tff(func_def_4218, type, sK3659: (option(num) * num * num) > num).
% 8.42/2.11  tff(func_def_4219, type, sK3660: (option(num) * num * num) > num).
% 8.42/2.11  tff(func_def_4220, type, sK3661: (option(num) * num * num) > num).
% 8.42/2.11  tff(func_def_4221, type, sK3662: (option(num) * num * num) > num).
% 8.42/2.11  tff(func_def_4222, type, sK3663: (option(num) * num * num) > num).
% 8.42/2.11  tff(func_def_4223, type, sK3664: (option(num) * num * num) > num).
% 8.42/2.11  tff(func_def_4224, type, sK3665: (option(num) * num * num) > num).
% 8.42/2.11  tff(func_def_4225, type, sK3666: (option(num) * num * num) > num).
% 8.42/2.11  tff(func_def_4226, type, sK3667: (option(num) * num) > num).
% 8.42/2.11  tff(func_def_4227, type, sK3668: (option(num) * num) > num).
% 8.42/2.11  tff(func_def_4228, type, sK3669: (num * num * option(num)) > num).
% 8.42/2.11  tff(func_def_4229, type, sK3670: (num * num * option(num)) > num).
% 8.42/2.11  tff(func_def_4230, type, sK3671: !>[X0: $tType]:((list(X0) * list(X0)) > nat)).
% 8.42/2.11  tff(func_def_4231, type, sK3672: !>[X0: $tType]:((list(X0) * list(X0)) > nat)).
% 8.42/2.11  tff(func_def_4232, type, sK3673: !>[X0: $tType]:((list(X0) * list(X0)) > nat)).
% 8.42/2.11  tff(func_def_4233, type, sK3674: !>[X0: $tType]:((list(X0) * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_4234, type, sK3675: !>[X0: $tType, X1: $tType, X2: $tType]:((set(X1) * fun(X1,fun(X2,X0)) * fun(X1,fun(X2,X0)) * X2 * set(X2)) > X1)).
% 8.42/2.11  tff(func_def_4235, type, sK3676: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1) * fun(X0,fun(X0,X1))) > X0)).
% 8.42/2.11  tff(func_def_4236, type, sK3677: !>[X0: $tType, X1: $tType]:((X1 * fun(X1,X0) * real) > X1)).
% 8.42/2.11  tff(func_def_4237, type, sK3678: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * X0 * X1 * real) > X1)).
% 8.42/2.11  tff(func_def_4238, type, sK3679: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X2,X0) * X0 * X2 * fun(X2,X1) * X1) > X2)).
% 8.42/2.11  tff(func_def_4239, type, sK3680: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X2,X0) * X0 * X2 * fun(X2,X1) * X1) > X2)).
% 8.42/2.11  tff(func_def_4240, type, sK3681: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_4241, type, sK3682: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_4242, type, sK3683: !>[X0: $tType]:((list(list(X0)) * nat) > nat)).
% 8.42/2.11  tff(func_def_4243, type, sK3684: vEBT_VEBT > $o).
% 8.42/2.11  tff(func_def_4244, type, sK3685: vEBT_VEBT > $o).
% 8.42/2.11  tff(func_def_4245, type, sK3686: (nat * list(vEBT_VEBT)) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_4246, type, sK3687: (vEBT_VEBT * nat * $o) > option(product_prod(nat,nat))).
% 8.42/2.11  tff(func_def_4247, type, sK3688: (vEBT_VEBT * nat * $o) > nat).
% 8.42/2.11  tff(func_def_4248, type, sK3689: (vEBT_VEBT * nat * $o) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_4249, type, sK3690: (vEBT_VEBT * nat * $o) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_4250, type, sK3691: (nat * $o * vEBT_VEBT) > option(product_prod(nat,nat))).
% 8.42/2.11  tff(func_def_4251, type, sK3692: (nat * $o * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_4252, type, sK3693: (nat * $o * vEBT_VEBT) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_4253, type, sK3694: (nat * $o * vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_4254, type, sK3695: (nat * $o * vEBT_VEBT) > $o).
% 8.42/2.11  tff(func_def_4255, type, sK3696: (nat * $o * vEBT_VEBT) > $o).
% 8.42/2.11  tff(func_def_4256, type, sK3697: (nat * list(vEBT_VEBT)) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_4257, type, sK3698: (nat * $o * vEBT_VEBT) > option(product_prod(nat,nat))).
% 8.42/2.11  tff(func_def_4258, type, sK3699: (nat * $o * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_4259, type, sK3700: (nat * $o * vEBT_VEBT) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_4260, type, sK3701: (nat * $o * vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_4261, type, sK3702: (nat * $o * vEBT_VEBT) > $o).
% 8.42/2.11  tff(func_def_4262, type, sK3703: (nat * $o * vEBT_VEBT) > $o).
% 8.42/2.11  tff(func_def_4263, type, sK3704: vEBT_VEBT > option(product_prod(nat,nat))).
% 8.42/2.11  tff(func_def_4264, type, sK3705: vEBT_VEBT > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_4265, type, sK3706: vEBT_VEBT > vEBT_VEBT).
% 8.42/2.11  tff(func_def_4266, type, sK3707: (nat * $o * vEBT_VEBT) > option(product_prod(nat,nat))).
% 8.42/2.11  tff(func_def_4267, type, sK3708: (nat * $o * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_4268, type, sK3709: (nat * $o * vEBT_VEBT) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_4269, type, sK3710: (nat * $o * vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_4270, type, sK3711: (nat * $o * vEBT_VEBT) > option(product_prod(nat,nat))).
% 8.42/2.11  tff(func_def_4271, type, sK3712: (nat * $o * vEBT_VEBT) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_4272, type, sK3713: (nat * $o * vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_4273, type, sK3714: (nat * $o * vEBT_VEBT) > $o).
% 8.42/2.11  tff(func_def_4274, type, sK3715: (nat * $o * vEBT_VEBT) > $o).
% 8.42/2.11  tff(func_def_4275, type, sK3716: vEBT_VEBT > $o).
% 8.42/2.11  tff(func_def_4276, type, sK3717: vEBT_VEBT > $o).
% 8.42/2.11  tff(func_def_4277, type, sK3718: (nat * $o * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_4278, type, sK3719: (nat * $o * vEBT_VEBT) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_4279, type, sK3720: (nat * $o * vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_4280, type, sK3721: (nat * $o * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_4281, type, sK3722: (nat * $o * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_4282, type, sK3723: (nat * $o * vEBT_VEBT) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_4283, type, sK3724: (nat * $o * vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_4284, type, sK3725: (vEBT_VEBT * nat * $o) > nat).
% 8.42/2.11  tff(func_def_4285, type, sK3726: (vEBT_VEBT * nat * $o) > nat).
% 8.42/2.11  tff(func_def_4286, type, sK3727: (vEBT_VEBT * nat * $o) > nat).
% 8.42/2.11  tff(func_def_4287, type, sK3728: (vEBT_VEBT * nat * $o) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_4288, type, sK3729: (vEBT_VEBT * nat * $o) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_4289, type, sK3730: vEBT_VEBT > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_4290, type, sK3731: vEBT_VEBT > vEBT_VEBT).
% 8.42/2.11  tff(func_def_4291, type, sK3732: (nat * $o * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_4292, type, sK3733: (nat * $o * vEBT_VEBT) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_4293, type, sK3734: (nat * $o * vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_4294, type, sK3735: (nat * $o * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_4295, type, sK3736: (nat * $o * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_4296, type, sK3737: (nat * $o * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_4297, type, sK3738: (nat * $o * vEBT_VEBT) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_4298, type, sK3739: (nat * $o * vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_4299, type, sK3740: (nat * $o * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_4300, type, sK3741: (nat * $o * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_4301, type, sK3742: (nat * $o * vEBT_VEBT) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_4302, type, sK3743: (nat * $o * vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_4303, type, sK3744: (nat * $o * vEBT_VEBT) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_4304, type, sK3745: (nat * $o * vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_4305, type, sK3746: (nat * $o * vEBT_VEBT) > $o).
% 8.42/2.11  tff(func_def_4306, type, sK3747: (nat * $o * vEBT_VEBT) > $o).
% 8.42/2.11  tff(func_def_4307, type, sK3748: vEBT_VEBT > nat).
% 8.42/2.11  tff(func_def_4308, type, sK3749: vEBT_VEBT > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_4309, type, sK3750: vEBT_VEBT > vEBT_VEBT).
% 8.42/2.11  tff(func_def_4310, type, sK3751: (nat * $o * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_4311, type, sK3752: (nat * $o * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_4312, type, sK3753: (nat * $o * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_4313, type, sK3754: (nat * $o * vEBT_VEBT) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_4314, type, sK3755: (nat * $o * vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_4315, type, sK3756: (nat * $o * vEBT_VEBT) > $o).
% 8.42/2.11  tff(func_def_4316, type, sK3757: (nat * $o * vEBT_VEBT) > $o).
% 8.42/2.11  tff(func_def_4317, type, sK3758: vEBT_VEBT > product_prod(nat,nat)).
% 8.42/2.11  tff(func_def_4318, type, sK3759: vEBT_VEBT > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_4319, type, sK3760: vEBT_VEBT > vEBT_VEBT).
% 8.42/2.11  tff(func_def_4320, type, sK3761: vEBT_VEBT > product_prod(nat,nat)).
% 8.42/2.11  tff(func_def_4321, type, sK3762: vEBT_VEBT > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_4322, type, sK3763: vEBT_VEBT > vEBT_VEBT).
% 8.42/2.11  tff(func_def_4323, type, sK3764: (nat * $o * vEBT_VEBT) > product_prod(nat,nat)).
% 8.42/2.11  tff(func_def_4324, type, sK3765: (nat * $o * vEBT_VEBT) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_4325, type, sK3766: (nat * $o * vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_4326, type, sK3767: (nat * $o * vEBT_VEBT) > product_prod(nat,nat)).
% 8.42/2.11  tff(func_def_4327, type, sK3768: (nat * $o * vEBT_VEBT) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_4328, type, sK3769: (nat * $o * vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_4329, type, sK3770: (nat * $o * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_4330, type, sK3771: (nat * $o * vEBT_VEBT) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_4331, type, sK3772: (nat * $o * vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_4332, type, sK3773: (nat * $o * vEBT_VEBT) > $o).
% 8.42/2.11  tff(func_def_4333, type, sK3774: (nat * $o * vEBT_VEBT) > $o).
% 8.42/2.11  tff(func_def_4334, type, sK3775: (vEBT_VEBT * nat * $o) > nat).
% 8.42/2.11  tff(func_def_4335, type, sK3776: (vEBT_VEBT * nat * $o) > nat).
% 8.42/2.11  tff(func_def_4336, type, sK3777: (vEBT_VEBT * nat * $o) > nat).
% 8.42/2.11  tff(func_def_4337, type, sK3778: (vEBT_VEBT * nat * $o) > list(vEBT_VEBT)).
% 8.42/2.11  tff(func_def_4338, type, sK3779: (vEBT_VEBT * nat * $o) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_4339, type, sK3780: !>[X0: $tType]:((set(product_prod(X0,X0))) > X0)).
% 8.42/2.11  tff(func_def_4340, type, sK3781: !>[X0: $tType]:((set(product_prod(X0,X0))) > X0)).
% 8.42/2.11  tff(func_def_4341, type, sK3782: !>[X0: $tType]:((fun(set(X0),$o)) > X0)).
% 8.42/2.11  tff(func_def_4342, type, sK3783: !>[X0: $tType]:((fun(set(X0),$o)) > set(X0))).
% 8.42/2.11  tff(func_def_4343, type, sK3784: !>[X0: $tType]:((fun(set(X0),$o)) > set(X0))).
% 8.42/2.11  tff(func_def_4344, type, sK3785: !>[X0: $tType]:((filter(X0) * filter(X0)) > fun(X0,$o))).
% 8.42/2.11  tff(func_def_4345, type, sK3786: !>[X0: $tType]:((set(X0) * set(X0)) > X0)).
% 8.42/2.11  tff(func_def_4346, type, sK3787: !>[X0: $tType]:((set(X0) * set(X0)) > X0)).
% 8.42/2.11  tff(func_def_4347, type, sK3788: !>[X0: $tType]:((set(set(X0)) * set(set(X0))) > set(X0))).
% 8.42/2.11  tff(func_def_4348, type, sK3789: !>[X0: $tType]:((set(set(X0)) * set(X0)) > set(X0))).
% 8.42/2.11  tff(func_def_4349, type, sK3790: !>[X0: $tType]:((set(set(X0)) * set(X0)) > set(X0))).
% 8.42/2.11  tff(func_def_4350, type, sK3791: !>[X0: $tType]:((set(set(X0)) * set(X0)) > set(X0))).
% 8.42/2.11  tff(func_def_4351, type, sK3792: !>[X0: $tType]:((list(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_4352, type, sK3793: !>[X0: $tType]:((list(X0) * fun(X0,X0)) > X0)).
% 8.42/2.11  tff(func_def_4353, type, sK3794: !>[X0: $tType]:((list(X0) * fun(X0,$o)) > X0)).
% 8.42/2.11  tff(func_def_4354, type, sK3795: !>[X0: $tType]:((list(X0) * fun(X0,$o)) > X0)).
% 8.42/2.11  tff(func_def_4355, type, sK3796: (list(vEBT_VEBT) * nat) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_4356, type, sK3797: (real * fun(nat,real)) > real).
% 8.42/2.11  tff(func_def_4357, type, sK3798: !>[X0: $tType]:((fun(X0,$o) * list(X0)) > X0)).
% 8.42/2.11  tff(func_def_4358, type, sK3799: !>[X0: $tType]:((list(list(X0)) * nat) > list(X0))).
% 8.42/2.11  tff(func_def_4359, type, sK3800: !>[X0: $tType]:((fun(list(X0),$o)) > list(X0))).
% 8.42/2.11  tff(func_def_4360, type, sK3801: !>[X0: $tType]:((fun(X0,$o) * fun(X0,$o)) > X0)).
% 8.42/2.11  tff(func_def_4361, type, sK3802: !>[X0: $tType]:((fun(X0,$o) * fun(X0,$o)) > X0)).
% 8.42/2.11  tff(func_def_4362, type, sK3803: (real * fun(real,real)) > real).
% 8.42/2.11  tff(func_def_4363, type, sK3804: (real * fun(real,real)) > real).
% 8.42/2.11  tff(func_def_4364, type, sK3805: (fun(nat,$o) * nat) > nat).
% 8.42/2.11  tff(func_def_4365, type, sK3806: (nat * fun(nat,$o)) > nat).
% 8.42/2.11  tff(func_def_4366, type, sK3807: (nat * fun(nat,int) * int) > nat).
% 8.42/2.11  tff(func_def_4367, type, sK3808: (nat * fun(nat,int)) > nat).
% 8.42/2.11  tff(func_def_4368, type, sK3809: (nat * fun(nat,int) * int) > nat).
% 8.42/2.11  tff(func_def_4369, type, sK3810: (nat * fun(nat,int)) > nat).
% 8.42/2.11  tff(func_def_4370, type, sK3811: !>[X0: $tType]:((nat * set(X0)) > set(X0))).
% 8.42/2.11  tff(func_def_4371, type, sK3812: !>[X0: $tType]:((list(X0) * set(nat)) > nat)).
% 8.42/2.11  tff(func_def_4372, type, sK3813: !>[X0: $tType]:((fun(X0,$o) * fun(X0,$o)) > X0)).
% 8.42/2.11  tff(func_def_4373, type, sK3814: fun(nat,fun(nat,$o)) > nat).
% 8.42/2.11  tff(func_def_4374, type, sK3815: fun(nat,fun(nat,$o)) > nat).
% 8.42/2.11  tff(func_def_4375, type, sK3816: fun(nat,fun(nat,$o)) > nat).
% 8.42/2.11  tff(func_def_4376, type, sK3817: fun(nat,fun(nat,$o)) > nat).
% 8.42/2.11  tff(func_def_4377, type, sK3818: fun(nat,fun(nat,$o)) > nat).
% 8.42/2.11  tff(func_def_4378, type, sK3819: fun(nat,fun(nat,$o)) > nat).
% 8.42/2.11  tff(func_def_4379, type, sK3820: fun(nat,fun(nat,$o)) > nat).
% 8.42/2.11  tff(func_def_4380, type, sK3821: !>[X0: $tType]:((fun(nat,set(X0)) * nat) > nat)).
% 8.42/2.11  tff(func_def_4381, type, sK3822: !>[X0: $tType]:((fun(nat,set(X0)) * nat) > nat)).
% 8.42/2.11  tff(func_def_4382, type, sK3823: !>[X0: $tType]:((fun(nat,set(X0)) * nat) > nat)).
% 8.42/2.11  tff(func_def_4383, type, sK3824: !>[X0: $tType]:((fun(nat,set(X0)) * set(X0)) > nat)).
% 8.42/2.11  tff(func_def_4384, type, sK3825: !>[X0: $tType]:((fun(nat,set(X0)) * set(X0)) > nat)).
% 8.42/2.11  tff(func_def_4385, type, sK3826: !>[X0: $tType, X1: $tType]:((product_prod(fun(X0,X1),product_prod(list(X0),list(X1)))) > fun(X0,X1))).
% 8.42/2.11  tff(func_def_4386, type, sK3827: !>[X0: $tType, X1: $tType]:((product_prod(fun(X0,X1),product_prod(list(X0),list(X1)))) > X0)).
% 8.42/2.11  tff(func_def_4387, type, sK3828: !>[X0: $tType, X1: $tType]:((product_prod(fun(X0,X1),product_prod(list(X0),list(X1)))) > list(X0))).
% 8.42/2.11  tff(func_def_4388, type, sK3829: !>[X0: $tType, X1: $tType]:((product_prod(fun(X0,X1),product_prod(list(X0),list(X1)))) > list(X1))).
% 8.42/2.11  tff(func_def_4389, type, sK3830: !>[X0: $tType, X1: $tType]:((product_prod(fun(X0,X1),product_prod(list(X0),list(X1)))) > fun(X0,X1))).
% 8.42/2.11  tff(func_def_4390, type, sK3831: !>[X0: $tType, X1: $tType]:((product_prod(fun(X0,X1),product_prod(list(X0),list(X1)))) > list(X1))).
% 8.42/2.11  tff(func_def_4391, type, sK3832: fun(nat,nat) > nat).
% 8.42/2.11  tff(func_def_4392, type, sK3833: fun(nat,nat) > nat).
% 8.42/2.11  tff(func_def_4393, type, sK3834: fun(nat,nat) > nat).
% 8.42/2.11  tff(func_def_4394, type, sK3835: fun(nat,nat) > nat).
% 8.42/2.11  tff(func_def_4395, type, sK3836: (fun(nat,nat) * nat) > nat).
% 8.42/2.11  tff(func_def_4396, type, sK3837: (fun(nat,nat) * nat) > nat).
% 8.42/2.11  tff(func_def_4397, type, sK3838: (nat * fun(nat,nat)) > nat).
% 8.42/2.11  tff(func_def_4398, type, sK3839: (nat * fun(nat,nat)) > nat).
% 8.42/2.11  tff(func_def_4399, type, sK3840: fun(nat,fun(nat,$o)) > nat).
% 8.42/2.11  tff(func_def_4400, type, sK3841: fun(nat,fun(nat,$o)) > nat).
% 8.42/2.11  tff(func_def_4401, type, sK3842: fun(nat,fun(nat,$o)) > nat).
% 8.42/2.11  tff(func_def_4402, type, sK3843: fun(nat,fun(nat,$o)) > nat).
% 8.42/2.11  tff(func_def_4403, type, sK3844: fun(nat,fun(nat,$o)) > nat).
% 8.42/2.11  tff(func_def_4404, type, sK3845: !>[X0: $tType]:((list(X0) * fun(X0,$o)) > list(X0))).
% 8.42/2.11  tff(func_def_4405, type, sK3846: !>[X0: $tType]:((list(X0) * fun(X0,$o)) > X0)).
% 8.42/2.11  tff(func_def_4406, type, sK3847: !>[X0: $tType]:((list(X0) * fun(X0,$o)) > list(X0))).
% 8.42/2.11  tff(func_def_4407, type, sK3848: !>[X0: $tType]:((list(X0) * fun(X0,$o)) > list(X0))).
% 8.42/2.11  tff(func_def_4408, type, sK3849: !>[X0: $tType]:((list(X0) * fun(X0,$o)) > X0)).
% 8.42/2.11  tff(func_def_4409, type, sK3850: !>[X0: $tType]:((list(X0) * fun(X0,$o)) > list(X0))).
% 8.42/2.11  tff(func_def_4410, type, sK3851: !>[X0: $tType]:((list(X0) * fun(X0,$o)) > list(X0))).
% 8.42/2.11  tff(func_def_4411, type, sK3852: !>[X0: $tType]:((list(X0) * fun(X0,$o)) > X0)).
% 8.42/2.11  tff(func_def_4412, type, sK3853: !>[X0: $tType]:((list(X0) * fun(X0,$o)) > list(X0))).
% 8.42/2.11  tff(func_def_4413, type, sK3854: !>[X0: $tType]:((list(X0) * fun(X0,$o)) > list(X0))).
% 8.42/2.11  tff(func_def_4414, type, sK3855: !>[X0: $tType]:((list(X0) * fun(X0,$o)) > X0)).
% 8.42/2.11  tff(func_def_4415, type, sK3856: !>[X0: $tType]:((list(X0) * fun(X0,$o)) > list(X0))).
% 8.42/2.11  tff(func_def_4416, type, sK3857: !>[X0: $tType]:((list(X0) * fun(X0,$o)) > list(X0))).
% 8.42/2.11  tff(func_def_4417, type, sK3858: !>[X0: $tType]:((list(X0) * fun(X0,$o)) > X0)).
% 8.42/2.11  tff(func_def_4418, type, sK3859: !>[X0: $tType]:((list(X0) * fun(X0,$o)) > list(X0))).
% 8.42/2.11  tff(func_def_4419, type, sK3860: !>[X0: $tType]:((list(X0) * fun(X0,$o)) > list(X0))).
% 8.42/2.11  tff(func_def_4420, type, sK3861: !>[X0: $tType]:((list(X0) * fun(X0,$o)) > X0)).
% 8.42/2.11  tff(func_def_4421, type, sK3862: !>[X0: $tType]:((list(X0) * fun(X0,$o)) > list(X0))).
% 8.42/2.11  tff(func_def_4422, type, sK3863: (fun(int,$o) * int) > int).
% 8.42/2.11  tff(func_def_4423, type, sK3864: (fun(int,$o) * int) > int).
% 8.42/2.11  tff(func_def_4424, type, sK3865: fun(nat,$o) > nat).
% 8.42/2.11  tff(func_def_4425, type, sK3866: (fun(nat,$o) * nat) > nat).
% 8.42/2.11  tff(func_def_4426, type, sK3867: fun(nat,$o) > nat).
% 8.42/2.11  tff(func_def_4427, type, sK3868: (fun(nat,$o) * nat) > nat).
% 8.42/2.11  tff(func_def_4428, type, sK3869: (fun(nat,$o) * nat) > nat).
% 8.42/2.11  tff(func_def_4429, type, sK3870: (fun(nat,$o) * nat) > nat).
% 8.42/2.11  tff(func_def_4430, type, sK3871: fun(nat,$o) > nat).
% 8.42/2.11  tff(func_def_4431, type, sK3872: !>[X0: $tType]:((fun(set(X0),$o)) > set(X0))).
% 8.42/2.11  tff(func_def_4432, type, sK3873: !>[X0: $tType]:((fun(list(X0),$o)) > X0)).
% 8.42/2.11  tff(func_def_4433, type, sK3874: !>[X0: $tType]:((fun(list(X0),$o)) > list(X0))).
% 8.42/2.11  tff(func_def_4434, type, sK3875: !>[X0: $tType]:((fun(set(X0),$o) * set(X0)) > set(X0))).
% 8.42/2.11  tff(func_def_4435, type, sK3876: (int * fun(int,$o)) > int).
% 8.42/2.11  tff(func_def_4436, type, sK3877: (int * fun(int,$o)) > int).
% 8.42/2.11  tff(func_def_4437, type, sK3878: (int * fun(int,$o)) > int).
% 8.42/2.11  tff(func_def_4438, type, sK3879: (int * fun(int,$o)) > int).
% 8.42/2.11  tff(func_def_4439, type, sK3880: (real * real * fun(real,real)) > real).
% 8.42/2.11  tff(func_def_4440, type, sK3881: (real * real * fun(real,real)) > real).
% 8.42/2.11  tff(func_def_4441, type, sK3882: (real * real * fun(real,real)) > real).
% 8.42/2.11  tff(func_def_4442, type, sK3883: (real * real * fun(real,real)) > real).
% 8.42/2.11  tff(func_def_4443, type, sK3884: (real * real * fun(real,real)) > real).
% 8.42/2.11  tff(func_def_4444, type, sK3885: (real * real * fun(real,real)) > real).
% 8.42/2.11  tff(func_def_4445, type, sK3886: (real * real * real) > real).
% 8.42/2.11  tff(func_def_4446, type, sK3887: (real * real * real) > real).
% 8.42/2.11  tff(func_def_4447, type, sK3888: (real * real * fun(real,real)) > real).
% 8.42/2.11  tff(func_def_4448, type, sK3889: (real * real * fun(real,real)) > real).
% 8.42/2.11  tff(func_def_4449, type, sK3890: (fun(real,real) * real * real) > real).
% 8.42/2.11  tff(func_def_4450, type, sK3891: (fun(real,real) * real * real * real) > real).
% 8.42/2.11  tff(func_def_4451, type, sK3892: (real * real * fun(real,real)) > real).
% 8.42/2.11  tff(func_def_4452, type, sK3893: (real * real * fun(real,real)) > real).
% 8.42/2.11  tff(func_def_4453, type, sK3894: (real * real * fun(real,real)) > real).
% 8.42/2.11  tff(func_def_4454, type, sK3895: (real * real * fun(real,real)) > real).
% 8.42/2.11  tff(func_def_4455, type, sK3896: fun(real,fun(real,$o)) > real).
% 8.42/2.11  tff(func_def_4456, type, sK3897: fun(real,fun(real,$o)) > real).
% 8.42/2.11  tff(func_def_4457, type, sK3898: fun(real,fun(real,$o)) > real).
% 8.42/2.11  tff(func_def_4458, type, sK3899: (fun(real,fun(real,$o)) * real * real) > real).
% 8.42/2.11  tff(func_def_4459, type, sK3900: (fun(real,fun(real,$o)) * real * real) > real).
% 8.42/2.11  tff(func_def_4460, type, sK3901: (real * real * fun(real,fun(real,$o))) > real).
% 8.42/2.11  tff(func_def_4461, type, sK3902: (nat * set(nat)) > nat).
% 8.42/2.11  tff(func_def_4462, type, sK3903: (fun(nat,$o) * nat) > nat).
% 8.42/2.11  tff(func_def_4463, type, sK3904: (nat * fun(nat,$o)) > nat).
% 8.42/2.11  tff(func_def_4464, type, sK3905: fun(nat,fun(nat,$o)) > nat).
% 8.42/2.11  tff(func_def_4465, type, sK3906: fun(nat,fun(nat,$o)) > nat).
% 8.42/2.11  tff(func_def_4466, type, sK3907: fun(nat,fun(nat,$o)) > nat).
% 8.42/2.11  tff(func_def_4467, type, sK3908: fun(nat,fun(nat,$o)) > nat).
% 8.42/2.11  tff(func_def_4468, type, sK3909: fun(nat,fun(nat,$o)) > nat).
% 8.42/2.11  tff(func_def_4469, type, sK3910: fun(nat,fun(nat,$o)) > nat).
% 8.42/2.11  tff(func_def_4470, type, sK3911: fun(nat,fun(nat,$o)) > nat).
% 8.42/2.11  tff(func_def_4471, type, sK3912: fun(nat,fun(nat,$o)) > nat).
% 8.42/2.11  tff(func_def_4472, type, sK3913: fun(nat,fun(nat,$o)) > nat).
% 8.42/2.11  tff(func_def_4473, type, sK3914: (nat * fun(nat,$o)) > nat).
% 8.42/2.11  tff(func_def_4474, type, sK3915: (nat * nat * fun(nat,$o)) > nat).
% 8.42/2.11  tff(func_def_4475, type, sK3916: (nat * nat * fun(nat,$o)) > nat).
% 8.42/2.11  tff(func_def_4476, type, sK3917: !>[X0: $tType]:((fun(list(list(X0)),$o)) > X0)).
% 8.42/2.11  tff(func_def_4477, type, sK3918: !>[X0: $tType]:((fun(list(list(X0)),$o)) > list(X0))).
% 8.42/2.11  tff(func_def_4478, type, sK3919: !>[X0: $tType]:((fun(list(list(X0)),$o)) > list(list(X0)))).
% 8.42/2.11  tff(func_def_4479, type, sK3920: !>[X0: $tType]:((fun(list(list(X0)),$o)) > list(list(X0)))).
% 8.42/2.11  tff(func_def_4480, type, sK3921: (fun(int,fun(int,$o)) * int * int) > int).
% 8.42/2.11  tff(func_def_4481, type, sK3922: (fun(int,fun(int,$o)) * int * int) > int).
% 8.42/2.11  tff(func_def_4482, type, sK3923: (int * set(int) * int) > int).
% 8.42/2.11  tff(func_def_4483, type, sK3924: (int * set(int) * int) > int).
% 8.42/2.11  tff(func_def_4484, type, sK3925: (int * set(int) * int) > int).
% 8.42/2.11  tff(func_def_4485, type, sK3926: (int * set(int) * int) > int).
% 8.42/2.11  tff(func_def_4486, type, sK3927: (int * set(int) * int) > int).
% 8.42/2.11  tff(func_def_4487, type, sK3928: (int * set(int) * int) > int).
% 8.42/2.11  tff(func_def_4488, type, sK3929: (int * set(int) * int) > int).
% 8.42/2.11  tff(func_def_4489, type, sK3930: (int * set(int) * int) > int).
% 8.42/2.11  tff(func_def_4490, type, sK3931: (int * set(int) * int) > int).
% 8.42/2.11  tff(func_def_4491, type, sK3932: (int * set(int) * int) > int).
% 8.42/2.11  tff(func_def_4492, type, sK3933: (int * set(int) * int) > int).
% 8.42/2.11  tff(func_def_4493, type, sK3934: (int * set(int) * int) > int).
% 8.42/2.11  tff(func_def_4494, type, sK3935: (int * set(int) * int) > int).
% 8.42/2.11  tff(func_def_4495, type, sK3936: (int * set(int) * int) > int).
% 8.42/2.11  tff(func_def_4496, type, sK3937: (int * set(int) * int) > int).
% 8.42/2.11  tff(func_def_4497, type, sK3938: (int * set(int) * int) > int).
% 8.42/2.11  tff(func_def_4498, type, sK3939: (int * fun(int,$o)) > int).
% 8.42/2.11  tff(func_def_4499, type, sK3940: (int * fun(int,$o)) > int).
% 8.42/2.11  tff(func_def_4500, type, sK3941: fun(int,$o) > int).
% 8.42/2.11  tff(func_def_4501, type, sK3942: (fun(int,$o) * fun(int,$o) * int) > int).
% 8.42/2.11  tff(func_def_4502, type, sK3943: (int * fun(int,$o)) > int).
% 8.42/2.11  tff(func_def_4503, type, sK3944: (int * fun(int,$o)) > int).
% 8.42/2.11  tff(func_def_4504, type, sK3945: fun(int,$o) > int).
% 8.42/2.11  tff(func_def_4505, type, sK3946: (fun(int,$o) * fun(int,$o) * int) > int).
% 8.42/2.11  tff(func_def_4506, type, sK3947: (int * fun(int,$o)) > int).
% 8.42/2.11  tff(func_def_4507, type, sK3948: (int * fun(int,$o)) > int).
% 8.42/2.11  tff(func_def_4508, type, sK3949: (fun(int,fun(int,$o)) * int * int) > int).
% 8.42/2.11  tff(func_def_4509, type, sK3950: (fun(int,fun(int,$o)) * int * int) > int).
% 8.42/2.11  tff(func_def_4510, type, sK3951: (int * set(int) * int) > int).
% 8.42/2.11  tff(func_def_4511, type, sK3952: (int * set(int) * int) > int).
% 8.42/2.11  tff(func_def_4512, type, sK3953: (int * set(int) * int) > int).
% 8.42/2.11  tff(func_def_4513, type, sK3954: (int * set(int) * int) > int).
% 8.42/2.11  tff(func_def_4514, type, sK3955: (int * set(int) * int) > int).
% 8.42/2.11  tff(func_def_4515, type, sK3956: (int * set(int) * int) > int).
% 8.42/2.11  tff(func_def_4516, type, sK3957: (int * set(int) * int) > int).
% 8.42/2.11  tff(func_def_4517, type, sK3958: (int * set(int) * int) > int).
% 8.42/2.11  tff(func_def_4518, type, sK3959: !>[X0: $tType]:((set(X0) * set(X0)) > X0)).
% 8.42/2.11  tff(func_def_4519, type, sK3960: !>[X0: $tType]:((nat * set(X0)) > set(X0))).
% 8.42/2.11  tff(func_def_4520, type, sK3961: fun(int,fun(int,$o)) > int).
% 8.42/2.11  tff(func_def_4521, type, sK3962: fun(int,fun(int,$o)) > int).
% 8.42/2.11  tff(func_def_4522, type, sK3963: fun(int,fun(int,$o)) > int).
% 8.42/2.11  tff(func_def_4523, type, sK3964: fun(int,fun(int,$o)) > int).
% 8.42/2.11  tff(func_def_4524, type, sK3965: !>[X0: $tType]:((list(X0) * list(X0)) > nat)).
% 8.42/2.11  tff(func_def_4525, type, sK3966: (nat * nat * set(nat)) > nat).
% 8.42/2.11  tff(func_def_4526, type, sK3967: (int * int * product_prod(int,int)) > int).
% 8.42/2.11  tff(func_def_4527, type, sK3968: (product_prod(int,int) * int * int) > int).
% 8.42/2.11  tff(func_def_4528, type, sK3969: (product_prod(int,int) * int * int) > int).
% 8.42/2.11  tff(func_def_4529, type, sK3970: (product_prod(int,int) * int * int) > int).
% 8.42/2.11  tff(func_def_4530, type, sK3971: (product_prod(int,int) * int * int) > int).
% 8.42/2.11  tff(func_def_4531, type, sK3972: (product_prod(int,int) * int * int) > int).
% 8.42/2.11  tff(func_def_4532, type, sK3973: (product_prod(int,int) * int * int) > int).
% 8.42/2.11  tff(func_def_4533, type, sK3974: (product_prod(int,int) * int * int) > int).
% 8.42/2.11  tff(func_def_4534, type, sK3975: !>[X0: $tType]:((fun(X0,fun(X0,$o)) * list(X0)) > nat)).
% 8.42/2.11  tff(func_def_4535, type, sK3976: !>[X0: $tType]:((fun(X0,fun(X0,$o)) * list(X0)) > nat)).
% 8.42/2.11  tff(func_def_4536, type, sK3977: (nat * nat * vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_4537, type, sK3978: !>[X0: $tType]:((list(X0) * list(X0) * fun(nat,nat)) > nat)).
% 8.42/2.11  tff(func_def_4538, type, sK3979: !>[X0: $tType]:((list(X0) * list(X0)) > fun(nat,nat))).
% 8.42/2.11  tff(func_def_4539, type, sK3980: !>[X0: $tType]:((fun(nat,nat) * list(X0)) > nat)).
% 8.42/2.11  tff(func_def_4540, type, sK3981: !>[X0: $tType]:((fun(X0,$o) * list(X0)) > X0)).
% 8.42/2.11  tff(func_def_4541, type, sK3982: !>[X0: $tType]:((fun(X0,$o) * list(X0)) > X0)).
% 8.42/2.11  tff(func_def_4542, type, sK3983: !>[X0: $tType]:((product_prod(X0,X0) * set(product_prod(X0,X0))) > nat)).
% 8.42/2.11  tff(func_def_4543, type, sK3984: (nat * nat * nat) > nat).
% 8.42/2.11  tff(func_def_4544, type, sK3985: (nat * nat * nat) > nat).
% 8.42/2.11  tff(func_def_4545, type, sK3986: !>[X0: $tType]:((X0 * list(X0)) > nat)).
% 8.42/2.11  tff(func_def_4546, type, sK3987: !>[X0: $tType]:((X0 * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_4547, type, sK3988: !>[X0: $tType]:((X0 * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_4548, type, sK3989: !>[X0: $tType]:((X0 * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_4549, type, sK3990: !>[X0: $tType]:((X0 * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_4550, type, sK3991: !>[X0: $tType]:((X0 * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_4551, type, sK3992: !>[X0: $tType]:((X0 * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_4552, type, sK3993: !>[X0: $tType]:((fun(X0,$o) * list(X0)) > X0)).
% 8.42/2.11  tff(func_def_4553, type, sK3994: !>[X0: $tType]:((fun(X0,$o) * list(X0)) > X0)).
% 8.42/2.11  tff(func_def_4554, type, sK3995: !>[X0: $tType]:((fun(X0,$o) * list(X0)) > X0)).
% 8.42/2.11  tff(func_def_4555, type, sK3996: !>[X0: $tType]:((nat * set(X0)) > X0)).
% 8.42/2.11  tff(func_def_4556, type, sK3997: !>[X0: $tType]:((nat * set(X0)) > set(X0))).
% 8.42/2.11  tff(func_def_4557, type, sK3998: !>[X0: $tType]:((fun(X0,$o) * set(filter(X0))) > set(filter(X0)))).
% 8.42/2.11  tff(func_def_4558, type, sK3999: !>[X0: $tType]:((list(X0) * nat) > X0)).
% 8.42/2.11  tff(func_def_4559, type, sK4000: !>[X0: $tType]:((list(X0) * nat) > list(X0))).
% 8.42/2.11  tff(func_def_4560, type, sK4001: !>[X0: $tType]:((nat * list(X0)) > X0)).
% 8.42/2.11  tff(func_def_4561, type, sK4002: !>[X0: $tType]:((nat * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_4562, type, sK4003: !>[X0: $tType]:((list(X0) * nat) > X0)).
% 8.42/2.11  tff(func_def_4563, type, sK4004: !>[X0: $tType]:((list(X0) * nat) > list(X0))).
% 8.42/2.11  tff(func_def_4564, type, sK4005: !>[X0: $tType]:((fun(X0,$o) * list(X0)) > X0)).
% 8.42/2.11  tff(func_def_4565, type, sK4006: !>[X0: $tType]:((set(X0) * set(X0)) > X0)).
% 8.42/2.11  tff(func_def_4566, type, sK4007: !>[X0: $tType]:((set(X0) * set(X0)) > X0)).
% 8.42/2.11  tff(func_def_4567, type, sK4008: !>[X0: $tType]:((set(X0) * set(X0)) > X0)).
% 8.42/2.11  tff(func_def_4568, type, sK4009: !>[X0: $tType]:((set(set(X0)) * set(X0)) > set(X0))).
% 8.42/2.11  tff(func_def_4569, type, sK4010: !>[X0: $tType]:((list(X0)) > X0)).
% 8.42/2.11  tff(func_def_4570, type, sK4011: !>[X0: $tType]:((list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_4571, type, sK4012: (int * int * int) > int).
% 8.42/2.11  tff(func_def_4572, type, sK4013: !>[X0: $tType]:((set(X0) * fun(X0,$o)) > X0)).
% 8.42/2.11  tff(func_def_4573, type, sK4014: !>[X0: $tType]:((list(X0) * fun(X0,$o)) > nat)).
% 8.42/2.11  tff(func_def_4574, type, sK4015: !>[X0: $tType]:((list(X0) * fun(X0,$o)) > X0)).
% 8.42/2.11  tff(func_def_4575, type, sK4016: !>[X0: $tType]:((fun(nat,fun(X0,$o)) * nat) > nat)).
% 8.42/2.11  tff(func_def_4576, type, sK4017: !>[X0: $tType]:((fun(nat,fun(X0,$o)) * nat) > X0)).
% 8.42/2.11  tff(func_def_4577, type, sK4018: !>[X0: $tType]:((nat * fun(nat,fun(X0,$o)) * list(X0)) > nat)).
% 8.42/2.11  tff(func_def_4578, type, sK4019: !>[X0: $tType]:((nat * fun(nat,fun(X0,$o))) > list(X0))).
% 8.42/2.11  tff(func_def_4579, type, sK4020: !>[X0: $tType]:((fun(X0,$o) * list(X0)) > X0)).
% 8.42/2.11  tff(func_def_4580, type, sK4021: !>[X0: $tType]:((fun(X0,$o) * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_4581, type, sK4022: !>[X0: $tType]:((fun(X0,$o) * list(X0)) > X0)).
% 8.42/2.11  tff(func_def_4582, type, sK4023: !>[X0: $tType]:((fun(X0,$o) * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_4583, type, sK4024: !>[X0: $tType]:((fun(X0,$o) * list(X0)) > X0)).
% 8.42/2.11  tff(func_def_4584, type, sK4025: !>[X0: $tType]:((fun(X0,$o) * list(X0)) > X0)).
% 8.42/2.11  tff(func_def_4585, type, sK4026: !>[X0: $tType]:((fun(X0,$o) * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_4586, type, sK4027: !>[X0: $tType]:((fun(X0,$o) * list(X0)) > X0)).
% 8.42/2.11  tff(func_def_4587, type, sK4028: !>[X0: $tType]:((fun(X0,$o) * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_4588, type, sK4029: !>[X0: $tType]:((fun(X0,$o) * list(X0)) > X0)).
% 8.42/2.11  tff(func_def_4589, type, sK4030: (fun(int,$o) * int * int) > int).
% 8.42/2.11  tff(func_def_4590, type, sK4031: (fun(int,$o) * int * int) > int).
% 8.42/2.11  tff(func_def_4591, type, sK4032: (fun(int,$o) * int * int) > int).
% 8.42/2.11  tff(func_def_4592, type, sK4033: (fun(int,$o) * int * int) > int).
% 8.42/2.11  tff(func_def_4593, type, sK4034: (fun(int,$o) * int * int) > int).
% 8.42/2.11  tff(func_def_4594, type, sK4035: (fun(int,$o) * int * int) > int).
% 8.42/2.11  tff(func_def_4595, type, sK4036: (fun(int,$o) * int * int) > int).
% 8.42/2.11  tff(func_def_4596, type, sK4037: (fun(int,$o) * int * int) > int).
% 8.42/2.11  tff(func_def_4597, type, sK4038: (fun(nat,$o) * nat * nat) > nat).
% 8.42/2.11  tff(func_def_4598, type, sK4039: (fun(nat,$o) * nat * nat) > nat).
% 8.42/2.11  tff(func_def_4599, type, sK4040: (fun(nat,$o) * nat * nat) > nat).
% 8.42/2.11  tff(func_def_4600, type, sK4041: (fun(nat,$o) * nat * nat) > nat).
% 8.42/2.11  tff(func_def_4601, type, sK4042: (fun(nat,$o) * nat * nat) > nat).
% 8.42/2.11  tff(func_def_4602, type, sK4043: (fun(real,$o) * real * nat) > real).
% 8.42/2.11  tff(func_def_4603, type, sK4044: !>[X0: $tType]:((list(X0) * X0) > nat)).
% 8.42/2.11  tff(func_def_4604, type, sK4045: !>[X0: $tType]:((set(filter(X0)) * filter(X0)) > filter(X0))).
% 8.42/2.11  tff(func_def_4605, type, sK4046: (fun(nat,$o) * nat * nat) > nat).
% 8.42/2.11  tff(func_def_4606, type, sK4047: (fun(nat,$o) * nat * nat) > nat).
% 8.42/2.11  tff(func_def_4607, type, sK4048: !>[X0: $tType]:((filter(X0) * filter(X0)) > fun(X0,$o))).
% 8.42/2.11  tff(func_def_4608, type, sK4049: !>[X0: $tType]:((set(X0) * set(X0)) > X0)).
% 8.42/2.11  tff(func_def_4609, type, sK4050: !>[X0: $tType]:((set(X0) * set(X0)) > X0)).
% 8.42/2.11  tff(func_def_4610, type, sK4051: !>[X0: $tType]:((nat * set(X0)) > X0)).
% 8.42/2.11  tff(func_def_4611, type, sK4052: !>[X0: $tType]:((nat * set(X0)) > set(X0))).
% 8.42/2.11  tff(func_def_4612, type, sK4053: !>[X0: $tType]:((nat * list(X0)) > X0)).
% 8.42/2.11  tff(func_def_4613, type, sK4054: !>[X0: $tType]:((nat * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_4614, type, sK4055: !>[X0: $tType]:((list(X0) * set(X0)) > X0)).
% 8.42/2.11  tff(func_def_4615, type, sK4056: !>[X0: $tType]:((fun(set(X0),$o) * set(X0)) > set(X0))).
% 8.42/2.11  tff(func_def_4616, type, sK4057: !>[X0: $tType]:((fun(set(X0),$o) * set(X0)) > X0)).
% 8.42/2.11  tff(func_def_4617, type, sK4058: !>[X0: $tType]:((fun(X0,$o) * fun(X0,$o)) > X0)).
% 8.42/2.11  tff(func_def_4618, type, sK4059: !>[X0: $tType, X1: $tType]:((product_prod(X0,X1)) > X0)).
% 8.42/2.11  tff(func_def_4619, type, sK4060: !>[X0: $tType, X1: $tType]:((product_prod(X0,X1)) > X1)).
% 8.42/2.11  tff(func_def_4620, type, sK4061: !>[X0: $tType, X1: $tType]:((product_prod(X0,X1)) > X0)).
% 8.42/2.11  tff(func_def_4621, type, sK4062: !>[X0: $tType, X1: $tType]:((product_prod(X0,X1)) > X1)).
% 8.42/2.11  tff(func_def_4622, type, sK4063: !>[X0: $tType]:((list(X0) * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_4623, type, sK4064: !>[X0: $tType]:((list(X0) * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_4624, type, sK4065: !>[X0: $tType]:((list(X0) * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_4625, type, sK4066: (fun(real,real) * real) > real).
% 8.42/2.11  tff(func_def_4626, type, sK4067: (fun(real,real) * real) > real).
% 8.42/2.11  tff(func_def_4627, type, sK4068: (fun(real,real) * real) > real).
% 8.42/2.11  tff(func_def_4628, type, sK4069: !>[X0: $tType]:((set(X0) * set(X0) * set(product_prod(X0,X0))) > X0)).
% 8.42/2.11  tff(func_def_4629, type, sK4070: !>[X0: $tType, X1: $tType]:((fun(X1,set(X0)) * set(X1)) > X1)).
% 8.42/2.11  tff(func_def_4630, type, sK4071: !>[X0: $tType, X1: $tType]:((fun(X1,set(X0)) * set(X1)) > X1)).
% 8.42/2.11  tff(func_def_4631, type, sK4072: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,set(X0))) > X1)).
% 8.42/2.11  tff(func_def_4632, type, sK4073: !>[X0: $tType]:((fun(set(X0),$o) * set(X0)) > X0)).
% 8.42/2.11  tff(func_def_4633, type, sK4074: !>[X0: $tType]:((fun(set(X0),$o) * set(X0)) > set(X0))).
% 8.42/2.11  tff(func_def_4634, type, sK4075: !>[X0: $tType]:((fun(set(X0),$o) * set(X0)) > X0)).
% 8.42/2.11  tff(func_def_4635, type, sK4076: !>[X0: $tType]:((fun(set(X0),$o) * set(X0)) > set(X0))).
% 8.42/2.11  tff(func_def_4636, type, sK4077: (int * set(int) * int) > int).
% 8.42/2.11  tff(func_def_4637, type, sK4078: (int * set(int) * int) > int).
% 8.42/2.11  tff(func_def_4638, type, sK4079: (int * set(int) * int) > int).
% 8.42/2.11  tff(func_def_4639, type, sK4080: (int * set(int) * int) > int).
% 8.42/2.11  tff(func_def_4640, type, sK4081: (int * set(int) * int) > int).
% 8.42/2.11  tff(func_def_4641, type, sK4082: (int * set(int) * int) > int).
% 8.42/2.11  tff(func_def_4642, type, sK4083: (int * set(int) * int) > int).
% 8.42/2.11  tff(func_def_4643, type, sK4084: (int * set(int) * int) > int).
% 8.42/2.11  tff(func_def_4644, type, sK4085: !>[X0: $tType]:((list(X0) * list(X0) * list(X0)) > X0)).
% 8.42/2.11  tff(func_def_4645, type, sK4086: !>[X0: $tType]:((list(X0) * list(X0) * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_4646, type, sK4087: !>[X0: $tType]:((list(X0) * list(X0) * list(X0)) > X0)).
% 8.42/2.11  tff(func_def_4647, type, sK4088: !>[X0: $tType]:((list(X0) * list(X0) * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_4648, type, sK4089: !>[X0: $tType]:((set(list(X0)) * list(X0) * list(X0)) > X0)).
% 8.42/2.11  tff(func_def_4649, type, sK4090: !>[X0: $tType]:((set(list(X0)) * list(X0) * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_4650, type, sK4091: !>[X0: $tType]:((set(list(X0)) * list(X0) * list(X0)) > X0)).
% 8.42/2.11  tff(func_def_4651, type, sK4092: !>[X0: $tType]:((set(list(X0)) * list(X0) * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_4652, type, sK4093: !>[X0: $tType]:((set(list(X0)) * list(X0) * list(X0)) > X0)).
% 8.42/2.11  tff(func_def_4653, type, sK4094: !>[X0: $tType]:((set(list(X0)) * list(X0) * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_4654, type, sK4095: !>[X0: $tType]:((set(list(X0)) * list(X0) * list(X0)) > X0)).
% 8.42/2.11  tff(func_def_4655, type, sK4096: !>[X0: $tType]:((set(list(X0)) * list(X0) * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_4656, type, sK4097: !>[X0: $tType]:((list(X0) * list(X0) * list(X0)) > X0)).
% 8.42/2.11  tff(func_def_4657, type, sK4098: !>[X0: $tType]:((list(X0) * list(X0) * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_4658, type, sK4099: !>[X0: $tType]:((list(X0) * list(X0) * list(X0)) > X0)).
% 8.42/2.11  tff(func_def_4659, type, sK4100: !>[X0: $tType]:((list(X0) * list(X0) * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_4660, type, sK4101: !>[X0: $tType]:((list(X0) * list(X0) * list(X0)) > X0)).
% 8.42/2.11  tff(func_def_4661, type, sK4102: !>[X0: $tType]:((list(X0) * list(X0) * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_4662, type, sK4103: !>[X0: $tType]:((list(X0) * list(X0) * list(X0)) > X0)).
% 8.42/2.11  tff(func_def_4663, type, sK4104: !>[X0: $tType]:((list(X0) * list(X0) * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_4664, type, sK4105: (fun(real,real) * real * set(real)) > real).
% 8.42/2.11  tff(func_def_4665, type, sK4106: (fun(real,real) * real * set(real)) > real).
% 8.42/2.11  tff(func_def_4666, type, sK4107: (fun(real,real) * real * set(real)) > real).
% 8.42/2.11  tff(func_def_4667, type, sK4108: (fun(real,real) * real * set(real)) > real).
% 8.42/2.11  tff(func_def_4668, type, sK4109: !>[X0: $tType]:((list(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_4669, type, sK4110: (fun(real,real) * real * real) > real).
% 8.42/2.11  tff(func_def_4670, type, sK4111: (fun(real,real) * real * real) > real).
% 8.42/2.11  tff(func_def_4671, type, sK4112: (fun(real,real) * real * real) > real).
% 8.42/2.11  tff(func_def_4672, type, sK4113: !>[X0: $tType, X1: $tType]:((fun(X1,$o) * fun(X0,fun(X1,$o))) > X1)).
% 8.42/2.11  tff(func_def_4673, type, sK4114: !>[X0: $tType]:((X0 * list(X0) * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_4674, type, sK4115: !>[X0: $tType]:((X0 * list(X0) * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_4675, type, sK4116: (fun(nat,fun(real,real)) * fun(real,real) * real * nat) > real).
% 8.42/2.11  tff(func_def_4676, type, sK4117: fun(nat,fun(real,real)) > nat).
% 8.42/2.11  tff(func_def_4677, type, sK4118: fun(nat,fun(real,real)) > real).
% 8.42/2.11  tff(func_def_4678, type, sK4119: (fun(nat,fun(real,real)) * real * nat) > nat).
% 8.42/2.11  tff(func_def_4679, type, sK4120: (fun(nat,fun(real,real)) * real * nat) > real).
% 8.42/2.11  tff(func_def_4680, type, sK4121: (fun(nat,fun(real,real)) * fun(real,real) * nat * real) > real).
% 8.42/2.11  tff(func_def_4681, type, sK4122: (fun(nat,fun(real,real)) * fun(real,real) * nat * real) > real).
% 8.42/2.11  tff(func_def_4682, type, sK4123: fun(nat,fun(real,real)) > nat).
% 8.42/2.11  tff(func_def_4683, type, sK4124: fun(nat,fun(real,real)) > real).
% 8.42/2.11  tff(func_def_4684, type, sK4125: !>[X0: $tType]:((list(list(X0)) * list(X0) * list(X0)) > list(list(X0)))).
% 8.42/2.11  tff(func_def_4685, type, sK4126: !>[X0: $tType]:((list(list(X0)) * list(X0) * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_4686, type, sK4127: !>[X0: $tType]:((list(list(X0)) * list(X0) * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_4687, type, sK4128: !>[X0: $tType]:((list(list(X0)) * list(X0) * list(X0)) > list(list(X0)))).
% 8.42/2.11  tff(func_def_4688, type, sK4129: !>[X0: $tType]:((fun(X0,nat) * set(X0)) > X0)).
% 8.42/2.11  tff(func_def_4689, type, sK4130: !>[X0: $tType]:((X0 * X0 * set(product_prod(X0,X0))) > X0)).
% 8.42/2.11  tff(func_def_4690, type, sK4131: !>[X0: $tType]:((X0 * X0 * set(product_prod(X0,X0))) > X0)).
% 8.42/2.11  tff(func_def_4691, type, sK4132: !>[X0: $tType]:((X0 * X0 * set(product_prod(X0,X0))) > X0)).
% 8.42/2.11  tff(func_def_4692, type, sK4133: !>[X0: $tType]:((list(X0) * list(X0) * set(product_prod(X0,X0))) > X0)).
% 8.42/2.11  tff(func_def_4693, type, sK4134: !>[X0: $tType]:((list(X0) * list(X0) * set(product_prod(X0,X0))) > X0)).
% 8.42/2.11  tff(func_def_4694, type, sK4135: !>[X0: $tType]:((list(X0) * list(X0) * set(product_prod(X0,X0))) > list(X0))).
% 8.42/2.11  tff(func_def_4695, type, sK4136: !>[X0: $tType]:((list(X0) * list(X0) * set(product_prod(X0,X0))) > list(X0))).
% 8.42/2.11  tff(func_def_4696, type, sK4137: !>[X0: $tType]:((set(product_prod(X0,X0)) * set(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_4697, type, sK4138: !>[X0: $tType, X1: $tType]:((list(product_prod(X1,X0)) * list(product_prod(X1,X0))) > X1)).
% 8.42/2.11  tff(func_def_4698, type, sK4139: (fun(nat,fun(real,real)) * fun(real,real) * real * nat) > real).
% 8.42/2.11  tff(func_def_4699, type, sK4140: fun(nat,fun(real,real)) > nat).
% 8.42/2.11  tff(func_def_4700, type, sK4141: fun(nat,fun(real,real)) > real).
% 8.42/2.11  tff(func_def_4701, type, sK4142: !>[X0: $tType]:((list(X0) * fun(X0,fun(X0,$o)) * X0) > X0)).
% 8.42/2.11  tff(func_def_4702, type, sK4143: !>[X0: $tType]:((fun(X0,fun(X0,$o)) * list(X0) * $o) > X0)).
% 8.42/2.11  tff(func_def_4703, type, sK4144: !>[X0: $tType]:((fun(X0,fun(X0,$o)) * list(X0) * $o) > list(X0))).
% 8.42/2.11  tff(func_def_4704, type, sK4145: !>[X0: $tType]:((fun(X0,fun(X0,$o)) * $o * list(X0)) > X0)).
% 8.42/2.11  tff(func_def_4705, type, sK4146: !>[X0: $tType]:((fun(X0,fun(X0,$o)) * $o * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_4706, type, sK4147: !>[X0: $tType]:((list(X0) * fun(X0,fun(X0,$o)) * X0) > X0)).
% 8.42/2.11  tff(func_def_4707, type, sK4148: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_4708, type, sK4149: !>[X0: $tType]:((set(product_prod(X0,X0))) > X0)).
% 8.42/2.11  tff(func_def_4709, type, sK4150: !>[X0: $tType]:((fun(nat,set(X0)) * fun(nat,set(X0)) * nat) > nat)).
% 8.42/2.11  tff(func_def_4710, type, sK4151: !>[X0: $tType, X1: $tType]:((fun(X1,filter(X0)) * set(X1)) > X1)).
% 8.42/2.11  tff(func_def_4711, type, sK4152: !>[X0: $tType, X1: $tType]:((fun(X1,filter(X0)) * set(X1)) > X1)).
% 8.42/2.11  tff(func_def_4712, type, sK4153: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,filter(X1))) > X0)).
% 8.42/2.11  tff(func_def_4713, type, sK4154: !>[X0: $tType]:((set(X0) * fun(X0,nat) * fun(X0,nat)) > X0)).
% 8.42/2.11  tff(func_def_4714, type, sK4155: !>[X0: $tType]:((set(set(X0)) * X0) > set(X0))).
% 8.42/2.11  tff(func_def_4715, type, sK4156: (real * real * fun(real,real)) > real).
% 8.42/2.11  tff(func_def_4716, type, sK4157: (real * real * fun(real,real) * fun(real,real)) > real).
% 8.42/2.11  tff(func_def_4717, type, sK4158: !>[X0: $tType]:((fun(X0,$o) * fun(X0,nat)) > X0)).
% 8.42/2.11  tff(func_def_4718, type, sK4159: !>[X0: $tType]:((fun(X0,nat) * fun(X0,$o)) > X0)).
% 8.42/2.11  tff(func_def_4719, type, sK4160: !>[X0: $tType]:((list(X0) * fun(X0,$o)) > X0)).
% 8.42/2.11  tff(func_def_4720, type, sK4161: !>[X0: $tType]:((list(X0) * fun(X0,$o)) > X0)).
% 8.42/2.11  tff(func_def_4721, type, sK4162: !>[X0: $tType]:((list(X0) * fun(X0,$o)) > X0)).
% 8.42/2.11  tff(func_def_4722, type, sK4163: !>[X0: $tType]:((list(X0) * fun(X0,nat) * fun(X0,nat)) > X0)).
% 8.42/2.11  tff(func_def_4723, type, sK4164: (fun(nat,int) * nat * nat) > nat).
% 8.42/2.11  tff(func_def_4724, type, sK4165: (nat * nat * fun(nat,int) * int) > nat).
% 8.42/2.11  tff(func_def_4725, type, sK4166: !>[X0: $tType]:((fun(X0,$o) * fun(X0,nat)) > X0)).
% 8.42/2.11  tff(func_def_4726, type, sK4167: (int * fun(int,$o) * set(int)) > int).
% 8.42/2.11  tff(func_def_4727, type, sK4168: (int * fun(int,$o) * set(int)) > int).
% 8.42/2.11  tff(func_def_4728, type, sK4169: (int * set(int) * int) > int).
% 8.42/2.11  tff(func_def_4729, type, sK4170: (int * set(int) * int) > int).
% 8.42/2.11  tff(func_def_4730, type, sK4171: (int * fun(int,$o) * set(int)) > int).
% 8.42/2.11  tff(func_def_4731, type, sK4172: (int * fun(int,$o) * set(int)) > int).
% 8.42/2.11  tff(func_def_4732, type, sK4173: (int * set(int) * int) > int).
% 8.42/2.11  tff(func_def_4733, type, sK4174: (int * set(int) * int) > int).
% 8.42/2.11  tff(func_def_4734, type, sK4175: (int * fun(int,$o) * set(int)) > int).
% 8.42/2.11  tff(func_def_4735, type, sK4176: (int * fun(int,$o) * set(int)) > int).
% 8.42/2.11  tff(func_def_4736, type, sK4177: (int * set(int) * int) > int).
% 8.42/2.11  tff(func_def_4737, type, sK4178: (int * set(int) * int) > int).
% 8.42/2.11  tff(func_def_4738, type, sK4179: (int * fun(int,$o) * set(int)) > int).
% 8.42/2.11  tff(func_def_4739, type, sK4180: (int * fun(int,$o) * set(int)) > int).
% 8.42/2.11  tff(func_def_4740, type, sK4181: (int * set(int) * int) > int).
% 8.42/2.11  tff(func_def_4741, type, sK4182: (int * set(int) * int) > int).
% 8.42/2.11  tff(func_def_4742, type, sK4183: !>[X0: $tType]:((nat * fun(X0,$o) * list(X0)) > nat)).
% 8.42/2.11  tff(func_def_4743, type, sK4184: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,filter(X1))) > set(X0))).
% 8.42/2.11  tff(func_def_4744, type, sK4185: !>[X0: $tType]:((list(X0) * fun(X0,$o)) > nat)).
% 8.42/2.11  tff(func_def_4745, type, sK4186: !>[X0: $tType]:((fun(nat,set(X0)) * fun(nat,set(X0)) * nat) > nat)).
% 8.42/2.11  tff(func_def_4746, type, sK4187: !>[X0: $tType]:((set(product_prod(X0,X0))) > X0)).
% 8.42/2.11  tff(func_def_4747, type, sK4188: !>[X0: $tType]:((set(product_prod(X0,X0))) > X0)).
% 8.42/2.11  tff(func_def_4748, type, sK4189: !>[X0: $tType]:((list(X0) * fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o))) > X0)).
% 8.42/2.11  tff(func_def_4749, type, sK4190: !>[X0: $tType]:((list(X0) * fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o))) > X0)).
% 8.42/2.11  tff(func_def_4750, type, sK4191: !>[X0: $tType, X1: $tType]:((product_prod(X1,X0) * fun(X1,fun(X0,$o))) > X1)).
% 8.42/2.11  tff(func_def_4751, type, sK4192: !>[X0: $tType, X1: $tType]:((product_prod(X1,X0) * fun(X1,fun(X0,$o))) > X0)).
% 8.42/2.11  tff(func_def_4752, type, sK4193: !>[X0: $tType, X1: $tType]:((set(product_prod(X1,X0)) * set(product_prod(X1,X0))) > X1)).
% 8.42/2.11  tff(func_def_4753, type, sK4194: !>[X0: $tType, X1: $tType]:((set(product_prod(X1,X0)) * set(product_prod(X1,X0))) > X0)).
% 8.42/2.11  tff(func_def_4754, type, sK4195: !>[X0: $tType, X1: $tType]:((fun(X1,fun(X0,$o)) * fun(X1,fun(X0,$o))) > X1)).
% 8.42/2.11  tff(func_def_4755, type, sK4196: !>[X0: $tType, X1: $tType]:((fun(X1,fun(X0,$o)) * fun(X1,fun(X0,$o))) > X0)).
% 8.42/2.11  tff(func_def_4756, type, sK4197: !>[X0: $tType, X1: $tType]:((fun(product_prod(X1,X0),$o)) > X1)).
% 8.42/2.11  tff(func_def_4757, type, sK4198: !>[X0: $tType, X1: $tType]:((fun(product_prod(X1,X0),$o)) > X0)).
% 8.42/2.11  tff(func_def_4758, type, sK4199: (fun(nat,$o) * nat) > nat).
% 8.42/2.11  tff(func_def_4759, type, sK4200: !>[X0: $tType]:((fun(X0,$o) * fun(X0,nat)) > X0)).
% 8.42/2.11  tff(func_def_4760, type, sK4201: (real * real * fun(real,real)) > real).
% 8.42/2.11  tff(func_def_4761, type, sK4202: (fun(real,fun(real,real)) * fun(real,real) * real * real) > real).
% 8.42/2.11  tff(func_def_4762, type, sK4203: (real * real * fun(real,real) * fun(real,fun(real,real))) > real).
% 8.42/2.11  tff(func_def_4763, type, sK4204: (fun(real,real) * real * real) > real).
% 8.42/2.11  tff(func_def_4764, type, sK4205: (fun(real,real) * real * real) > real).
% 8.42/2.11  tff(func_def_4765, type, sK4206: (fun(real,real) * real * real) > real).
% 8.42/2.11  tff(func_def_4766, type, sK4207: (real * fun(real,real) * real * fun(real,real)) > real).
% 8.42/2.11  tff(func_def_4767, type, sK4208: (real * fun(real,real) * real * fun(real,real)) > real).
% 8.42/2.11  tff(func_def_4768, type, sK4209: (real * fun(real,real) * real * fun(real,real)) > real).
% 8.42/2.11  tff(func_def_4769, type, sK4210: (real * real * fun(real,real)) > real).
% 8.42/2.11  tff(func_def_4770, type, sK4211: (fun(real,real) * fun(real,real) * real * real) > real).
% 8.42/2.11  tff(func_def_4771, type, sK4212: (real * real * fun(real,real) * fun(real,real)) > real).
% 8.42/2.11  tff(func_def_4772, type, sK4213: (int * fun(int,$o) * set(int)) > int).
% 8.42/2.11  tff(func_def_4773, type, sK4214: fun(int,$o) > int).
% 8.42/2.11  tff(func_def_4774, type, sK4215: (int * fun(int,$o)) > int).
% 8.42/2.11  tff(func_def_4775, type, sK4216: (fun(int,$o) * set(int) * int) > int).
% 8.42/2.11  tff(func_def_4776, type, sK4217: (fun(int,$o) * set(int) * int) > int).
% 8.42/2.11  tff(func_def_4777, type, sK4218: (int * fun(int,$o)) > int).
% 8.42/2.11  tff(func_def_4778, type, sK4219: (int * fun(int,$o)) > int).
% 8.42/2.11  tff(func_def_4779, type, sK4220: (fun(int,$o) * fun(int,$o) * int) > int).
% 8.42/2.11  tff(func_def_4780, type, sK4221: (int * fun(int,$o) * set(int)) > int).
% 8.42/2.11  tff(func_def_4781, type, sK4222: fun(int,$o) > int).
% 8.42/2.11  tff(func_def_4782, type, sK4223: (int * fun(int,$o)) > int).
% 8.42/2.11  tff(func_def_4783, type, sK4224: (fun(int,$o) * set(int) * int) > int).
% 8.42/2.11  tff(func_def_4784, type, sK4225: (fun(int,$o) * set(int) * int) > int).
% 8.42/2.11  tff(func_def_4785, type, sK4226: (int * fun(int,$o)) > int).
% 8.42/2.11  tff(func_def_4786, type, sK4227: (int * fun(int,$o)) > int).
% 8.42/2.11  tff(func_def_4787, type, sK4228: (fun(int,$o) * fun(int,$o) * int) > int).
% 8.42/2.11  tff(func_def_4788, type, sK4229: (fun(nat,fun(real,real)) * real * nat) > nat).
% 8.42/2.11  tff(func_def_4789, type, sK4230: (fun(nat,fun(real,real)) * real * nat) > real).
% 8.42/2.11  tff(func_def_4790, type, sK4231: (real * nat * fun(nat,fun(real,real)) * fun(real,real)) > real).
% 8.42/2.11  tff(func_def_4791, type, sK4232: (fun(nat,fun(real,real)) * real * nat) > nat).
% 8.42/2.11  tff(func_def_4792, type, sK4233: (fun(nat,fun(real,real)) * real * nat) > real).
% 8.42/2.11  tff(func_def_4793, type, sK4234: (real * fun(nat,fun(real,real)) * fun(real,real) * nat) > real).
% 8.42/2.11  tff(func_def_4794, type, sK4235: (real * real * fun(real,real)) > real).
% 8.42/2.11  tff(func_def_4795, type, sK4236: (real * real * fun(real,real) * fun(real,real)) > real).
% 8.42/2.11  tff(func_def_4796, type, sK4237: (fun(nat,fun(real,real)) * real * nat) > nat).
% 8.42/2.11  tff(func_def_4797, type, sK4238: (fun(nat,fun(real,real)) * real * nat) > real).
% 8.42/2.11  tff(func_def_4798, type, sK4239: (real * nat * fun(nat,fun(real,real)) * fun(real,real)) > real).
% 8.42/2.11  tff(func_def_4799, type, sK4240: (real * fun(real,real) * fun(nat,real) * nat) > real).
% 8.42/2.11  tff(func_def_4800, type, sK4241: !>[X0: $tType]:((set(X0) * fun(X0,$o)) > X0)).
% 8.42/2.11  tff(func_def_4801, type, sK4242: !>[X0: $tType]:((list(X0) * fun(X0,$o)) > X0)).
% 8.42/2.11  tff(func_def_4802, type, sK4243: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X1,$o)) * product_prod(X0,X1)) > X0)).
% 8.42/2.11  tff(func_def_4803, type, sK4244: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X1,$o)) * product_prod(X0,X1)) > X1)).
% 8.42/2.11  tff(func_def_4804, type, sK4245: !>[X0: $tType]:((set(X0) * set(X0) * set(X0)) > set(X0))).
% 8.42/2.11  tff(func_def_4805, type, sK4246: !>[X0: $tType]:((set(X0) * set(X0) * set(X0)) > set(X0))).
% 8.42/2.11  tff(func_def_4806, type, sK4247: !>[X0: $tType]:((fun(list(X0),fun(list(X0),$o))) > X0)).
% 8.42/2.11  tff(func_def_4807, type, sK4248: !>[X0: $tType]:((fun(list(X0),fun(list(X0),$o))) > list(X0))).
% 8.42/2.11  tff(func_def_4808, type, sK4249: !>[X0: $tType]:((fun(list(X0),fun(list(X0),$o))) > list(X0))).
% 8.42/2.11  tff(func_def_4809, type, sK4250: !>[X0: $tType]:((fun(list(X0),fun(list(X0),$o))) > list(X0))).
% 8.42/2.11  tff(func_def_4810, type, sK4251: !>[X0: $tType]:((fun(list(X0),fun(list(X0),$o))) > X0)).
% 8.42/2.11  tff(func_def_4811, type, sK4252: !>[X0: $tType]:((fun(list(X0),fun(list(X0),$o))) > list(X0))).
% 8.42/2.11  tff(func_def_4812, type, sK4253: !>[X0: $tType]:((fun(list(X0),fun(list(X0),$o))) > X0)).
% 8.42/2.11  tff(func_def_4813, type, sK4254: !>[X0: $tType]:((fun(list(X0),fun(list(X0),$o))) > list(X0))).
% 8.42/2.11  tff(func_def_4814, type, sK4255: !>[X0: $tType]:((fun(list(X0),fun(list(X0),$o))) > list(X0))).
% 8.42/2.11  tff(func_def_4815, type, sK4256: !>[X0: $tType]:((fun(list(X0),fun(list(X0),$o))) > list(X0))).
% 8.42/2.11  tff(func_def_4816, type, sK4257: !>[X0: $tType]:((fun(X0,$o) * option(X0)) > X0)).
% 8.42/2.11  tff(func_def_4817, type, sK4258: !>[X0: $tType, X1: $tType]:((X1 * product_prod(X0,X1)) > X0)).
% 8.42/2.11  tff(func_def_4818, type, sK4259: !>[X0: $tType, X1: $tType]:((X0 * product_prod(X0,X1)) > X1)).
% 8.42/2.11  tff(func_def_4819, type, sK4260: !>[X0: $tType]:((fun(X0,fun(X0,$o)) * X0 * list(X0)) > X0)).
% 8.42/2.11  tff(func_def_4820, type, sK4261: !>[X0: $tType, X1: $tType]:((fun(X1,fun(X0,$o)) * filter(X1)) > fun(X1,X0))).
% 8.42/2.11  tff(func_def_4821, type, sK4262: !>[X0: $tType]:((fun(X0,fun(X0,$o)) * list(X0) * list(X0)) > X0)).
% 8.42/2.11  tff(func_def_4822, type, sK4263: !>[X0: $tType]:((fun(X0,fun(X0,$o)) * list(X0) * list(X0)) > X0)).
% 8.42/2.11  tff(func_def_4823, type, sK4264: !>[X0: $tType]:((X0 * X0 * set(product_prod(X0,X0))) > X0)).
% 8.42/2.11  tff(func_def_4824, type, sK4265: !>[X0: $tType]:((X0 * X0 * set(product_prod(X0,X0))) > X0)).
% 8.42/2.11  tff(func_def_4825, type, sK4266: !>[X0: $tType]:((set(product_prod(X0,X0)) * X0 * X0) > X0)).
% 8.42/2.11  tff(func_def_4826, type, sK4267: !>[X0: $tType]:((set(product_prod(X0,X0)) * X0 * X0) > X0)).
% 8.42/2.11  tff(func_def_4827, type, sK4268: !>[X0: $tType]:((set(product_prod(X0,X0)) * X0 * X0) > X0)).
% 8.42/2.11  tff(func_def_4828, type, sK4269: !>[X0: $tType, X1: $tType]:((fun(X0,set(X1)) * set(X0)) > X0)).
% 8.42/2.11  tff(func_def_4829, type, sK4270: !>[X0: $tType, X1: $tType]:((fun(X0,set(X1)) * set(X0)) > X0)).
% 8.42/2.11  tff(func_def_4830, type, sK4271: !>[X0: $tType]:((list(X0) * list(X0) * set(product_prod(X0,X0))) > X0)).
% 8.42/2.11  tff(func_def_4831, type, sK4272: !>[X0: $tType]:((list(X0) * list(X0) * set(product_prod(X0,X0))) > nat)).
% 8.42/2.11  tff(func_def_4832, type, sK4273: !>[X0: $tType]:((set(product_prod(X0,X0)) * set(X0) * set(X0)) > X0)).
% 8.42/2.11  tff(func_def_4833, type, sK4274: !>[X0: $tType]:((set(product_prod(X0,X0)) * set(X0) * X0) > X0)).
% 8.42/2.11  tff(func_def_4834, type, sK4275: !>[X0: $tType]:((nat * X0 * fun(X0,$o)) > X0)).
% 8.42/2.11  tff(func_def_4835, type, sK4276: !>[X0: $tType, X1: $tType]:((set(product_prod(X1,X0)) * set(product_prod(X1,X0))) > X1)).
% 8.42/2.11  tff(func_def_4836, type, sK4277: !>[X0: $tType, X1: $tType]:((set(product_prod(X1,X0)) * set(product_prod(X1,X0))) > X0)).
% 8.42/2.11  tff(func_def_4837, type, sK4278: !>[X0: $tType, X1: $tType]:((list(X0) * fun(X1,X0)) > list(X1))).
% 8.42/2.11  tff(func_def_4838, type, sK4279: !>[X0: $tType, X1: $tType]:((list(X0) * fun(X1,X0)) > X0)).
% 8.42/2.11  tff(func_def_4839, type, sK4280: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * X0) > X1)).
% 8.42/2.11  tff(func_def_4840, type, sK4281: !>[X0: $tType]:((nat * X0 * fun(X0,$o)) > X0)).
% 8.42/2.11  tff(func_def_4841, type, sK4282: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * X0) > X1)).
% 8.42/2.11  tff(func_def_4842, type, sK4283: !>[X0: $tType, X1: $tType]:((fun(X0,option(X1)) * X1) > X0)).
% 8.42/2.11  tff(func_def_4843, type, sK4284: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X1,$o)) * X0) > X1)).
% 8.42/2.11  tff(func_def_4844, type, sK4285: !>[X0: $tType]:((list(X0) * set(nat) * X0) > nat)).
% 8.42/2.11  tff(func_def_4845, type, sK4286: !>[X0: $tType]:((set(X0) * set(list(X0)) * list(X0)) > X0)).
% 8.42/2.11  tff(func_def_4846, type, sK4287: !>[X0: $tType]:((set(X0) * set(list(X0)) * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_4847, type, sK4288: !>[X0: $tType]:((set(product_prod(X0,X0)) * list(X0) * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_4848, type, sK4289: !>[X0: $tType]:((set(product_prod(X0,X0)) * list(X0) * list(X0)) > X0)).
% 8.42/2.11  tff(func_def_4849, type, sK4290: !>[X0: $tType]:((set(product_prod(X0,X0)) * list(X0) * list(X0)) > X0)).
% 8.42/2.11  tff(func_def_4850, type, sK4291: !>[X0: $tType]:((set(product_prod(X0,X0)) * list(X0) * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_4851, type, sK4292: !>[X0: $tType]:((set(product_prod(X0,X0)) * list(X0) * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_4852, type, sK4293: !>[X0: $tType]:((list(X0) * list(X0) * set(product_prod(X0,X0))) > X0)).
% 8.42/2.11  tff(func_def_4853, type, sK4294: !>[X0: $tType]:((list(X0) * list(X0) * set(product_prod(X0,X0))) > list(X0))).
% 8.42/2.11  tff(func_def_4854, type, sK4295: !>[X0: $tType]:((list(X0) * list(X0) * set(product_prod(X0,X0))) > list(X0))).
% 8.42/2.11  tff(func_def_4855, type, sK4296: !>[X0: $tType]:((list(X0) * list(X0) * set(product_prod(X0,X0))) > X0)).
% 8.42/2.11  tff(func_def_4856, type, sK4297: !>[X0: $tType]:((list(X0) * list(X0) * set(product_prod(X0,X0))) > X0)).
% 8.42/2.11  tff(func_def_4857, type, sK4298: !>[X0: $tType]:((list(X0) * list(X0) * set(product_prod(X0,X0))) > list(X0))).
% 8.42/2.11  tff(func_def_4858, type, sK4299: !>[X0: $tType]:((list(X0) * list(X0) * set(product_prod(X0,X0))) > list(X0))).
% 8.42/2.11  tff(func_def_4859, type, sK4300: !>[X0: $tType]:((set(product_prod(X0,X0)) * list(X0) * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_4860, type, sK4301: !>[X0: $tType]:((set(product_prod(X0,X0)) * list(X0) * list(X0)) > X0)).
% 8.42/2.11  tff(func_def_4861, type, sK4302: !>[X0: $tType]:((set(product_prod(X0,X0)) * list(X0) * list(X0)) > X0)).
% 8.42/2.11  tff(func_def_4862, type, sK4303: !>[X0: $tType]:((set(product_prod(X0,X0)) * list(X0) * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_4863, type, sK4304: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod(X0,product_prod(X1,X2))) > X0)).
% 8.42/2.11  tff(func_def_4864, type, sK4305: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod(X0,product_prod(X1,X2))) > X1)).
% 8.42/2.11  tff(func_def_4865, type, sK4306: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod(X0,product_prod(X1,X2))) > X2)).
% 8.42/2.11  tff(func_def_4866, type, sK4307: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X1,$o)) * set(X1) * set(X0)) > X0)).
% 8.42/2.11  tff(func_def_4867, type, sK4308: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X1,$o)) * set(X1) * set(X0)) > X0)).
% 8.42/2.11  tff(func_def_4868, type, sK4309: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X1,$o)) * set(X1) * set(X0)) > X1)).
% 8.42/2.11  tff(func_def_4869, type, sK4310: !>[X0: $tType, X1: $tType]:((set(X1) * set(X0) * fun(X0,fun(X1,$o))) > X0)).
% 8.42/2.11  tff(func_def_4870, type, sK4311: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X1,X0) * set(X1)) > set(X1))).
% 8.42/2.11  tff(func_def_4871, type, sK4312: !>[X0: $tType]:((list(X0) * fun(X0,$o) * fun(X0,$o)) > X0)).
% 8.42/2.11  tff(func_def_4872, type, sK4313: !>[X0: $tType]:((list(X0) * fun(X0,$o) * fun(X0,$o)) > X0)).
% 8.42/2.11  tff(func_def_4873, type, sK4314: !>[X0: $tType]:((list(X0) * fun(X0,$o) * fun(X0,$o)) > X0)).
% 8.42/2.11  tff(func_def_4874, type, sK4315: (nat * nat * nat) > nat).
% 8.42/2.11  tff(func_def_4875, type, sK4316: (nat * nat * nat) > nat).
% 8.42/2.11  tff(func_def_4876, type, sK4317: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * X1) > X1)).
% 8.42/2.11  tff(func_def_4877, type, sK4318: !>[X0: $tType, X1: $tType]:((fun(X1,filter(X0)) * set(X1)) > X1)).
% 8.42/2.11  tff(func_def_4878, type, sK4319: !>[X0: $tType, X1: $tType]:((fun(X1,filter(X0)) * set(X1)) > X1)).
% 8.42/2.11  tff(func_def_4879, type, sK4320: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,filter(X0)) * fun(X0,$o)) > X1)).
% 8.42/2.11  tff(func_def_4880, type, sK4321: !>[X0: $tType, X1: $tType]:((X1 * fun(X0,option(X1)) * set(X0)) > X0)).
% 8.42/2.11  tff(func_def_4881, type, sK4322: !>[X0: $tType, X1: $tType]:((fun(list(X0),fun(list(X1),$o))) > X0)).
% 8.42/2.11  tff(func_def_4882, type, sK4323: !>[X0: $tType, X1: $tType]:((fun(list(X0),fun(list(X1),$o))) > list(X0))).
% 8.42/2.11  tff(func_def_4883, type, sK4324: !>[X0: $tType, X1: $tType]:((fun(list(X0),fun(list(X1),$o))) > X1)).
% 8.42/2.11  tff(func_def_4884, type, sK4325: !>[X0: $tType, X1: $tType]:((fun(list(X0),fun(list(X1),$o))) > list(X1))).
% 8.42/2.11  tff(func_def_4885, type, sK4326: !>[X0: $tType]:((X0 * list(X0) * fun(X0,$o) * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_4886, type, sK4327: !>[X0: $tType]:((X0 * list(X0) * fun(X0,$o) * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_4887, type, sK4328: !>[X0: $tType]:((fun(X0,$o) * list(X0) * X0 * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_4888, type, sK4329: !>[X0: $tType]:((fun(X0,$o) * list(X0) * X0 * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_4889, type, sK4330: !>[X0: $tType]:((list(X0) * nat * fun(nat,X0)) > nat)).
% 8.42/2.11  tff(func_def_4890, type, sK4331: !>[X0: $tType]:((option(X0) * fun(X0,fun(X0,X0)) * option(X0) * option(X0)) > X0)).
% 8.42/2.11  tff(func_def_4891, type, sK4332: !>[X0: $tType]:((option(X0) * fun(X0,fun(X0,X0)) * option(X0) * option(X0)) > X0)).
% 8.42/2.11  tff(func_def_4892, type, sK4333: !>[X0: $tType]:((option(X0)) > X0)).
% 8.42/2.11  tff(func_def_4893, type, sK4334: !>[X0: $tType]:((fun(X0,fun(X0,X0)) * option(X0) * option(X0) * option(X0)) > X0)).
% 8.42/2.11  tff(func_def_4894, type, sK4335: !>[X0: $tType]:((fun(X0,fun(X0,X0)) * option(X0) * option(X0) * option(X0)) > X0)).
% 8.42/2.11  tff(func_def_4895, type, sK4336: !>[X0: $tType]:((fun(X0,fun(X0,X0)) * option(X0) * option(X0) * option(X0)) > X0)).
% 8.42/2.11  tff(func_def_4896, type, sK4337: !>[X0: $tType]:((fun(X0,$o) * set(product_prod(X0,X0)) * X0) > X0)).
% 8.42/2.11  tff(func_def_4897, type, sK4338: !>[X0: $tType]:((fun(X0,$o) * set(product_prod(X0,X0)) * X0) > X0)).
% 8.42/2.11  tff(func_def_4898, type, sK4339: !>[X0: $tType]:((X0 * set(product_prod(X0,X0)) * fun(X0,$o)) > X0)).
% 8.42/2.11  tff(func_def_4899, type, sK4340: !>[X0: $tType]:((fun(X0,$o) * set(product_prod(X0,X0)) * X0) > X0)).
% 8.42/2.11  tff(func_def_4900, type, sK4341: !>[X0: $tType]:((fun(X0,$o) * set(product_prod(X0,X0)) * X0) > X0)).
% 8.42/2.11  tff(func_def_4901, type, sK4342: !>[X0: $tType]:((X0 * set(product_prod(X0,X0)) * fun(X0,$o)) > X0)).
% 8.42/2.11  tff(func_def_4902, type, sK4343: !>[X0: $tType]:((fun(X0,fun(X0,$o)) * set(product_prod(X0,X0))) > X0)).
% 8.42/2.11  tff(func_def_4903, type, sK4344: !>[X0: $tType]:((fun(X0,fun(X0,$o)) * set(product_prod(X0,X0))) > X0)).
% 8.42/2.11  tff(func_def_4904, type, sK4345: !>[X0: $tType]:((fun(X0,fun(X0,$o)) * set(product_prod(X0,X0))) > X0)).
% 8.42/2.11  tff(func_def_4905, type, sK4346: !>[X0: $tType]:((set(product_prod(X0,X0)) * fun(X0,fun(X0,$o))) > X0)).
% 8.42/2.11  tff(func_def_4906, type, sK4347: !>[X0: $tType]:((set(product_prod(X0,X0)) * fun(X0,fun(X0,$o))) > X0)).
% 8.42/2.11  tff(func_def_4907, type, sK4348: !>[X0: $tType, X1: $tType]:((X0 * list(product_prod(X0,X1))) > X1)).
% 8.42/2.11  tff(func_def_4908, type, sK4349: !>[X0: $tType]:((list(X0) * X0 * list(X0) * set(product_prod(X0,X0))) > list(X0))).
% 8.42/2.11  tff(func_def_4909, type, sK4350: !>[X0: $tType]:((list(X0) * X0 * list(X0) * set(product_prod(X0,X0))) > X0)).
% 8.42/2.11  tff(func_def_4910, type, sK4351: !>[X0: $tType]:((X0 * list(X0) * list(X0) * set(product_prod(X0,X0))) > list(X0))).
% 8.42/2.11  tff(func_def_4911, type, sK4352: !>[X0: $tType]:((X0 * list(X0) * list(X0) * set(product_prod(X0,X0))) > X0)).
% 8.42/2.11  tff(func_def_4912, type, sK4353: !>[X0: $tType]:((set(product_prod(X0,X0)) * X0 * X0 * nat) > X0)).
% 8.42/2.11  tff(func_def_4913, type, sK4354: !>[X0: $tType]:((set(product_prod(X0,X0)) * X0 * X0 * nat) > nat)).
% 8.42/2.11  tff(func_def_4914, type, sK4355: !>[X0: $tType]:((set(product_prod(X0,X0)) * X0 * X0 * nat) > X0)).
% 8.42/2.11  tff(func_def_4915, type, sK4356: !>[X0: $tType]:((set(product_prod(X0,X0)) * X0 * X0 * nat) > nat)).
% 8.42/2.11  tff(func_def_4916, type, sK4357: !>[X0: $tType]:((X0 * X0 * nat * set(product_prod(X0,X0))) > X0)).
% 8.42/2.11  tff(func_def_4917, type, sK4358: !>[X0: $tType]:((X0 * X0 * nat * set(product_prod(X0,X0))) > X0)).
% 8.42/2.11  tff(func_def_4918, type, sK4359: !>[X0: $tType]:((X0 * X0 * nat * set(product_prod(X0,X0))) > X0)).
% 8.42/2.11  tff(func_def_4919, type, sK4360: !>[X0: $tType]:((set(product_prod(X0,X0))) > X0)).
% 8.42/2.11  tff(func_def_4920, type, sK4361: !>[X0: $tType, X1: $tType]:((option(X0) * option(X1) * fun(option(X1),fun(option(X0),$o))) > X1)).
% 8.42/2.11  tff(func_def_4921, type, sK4362: !>[X0: $tType, X1: $tType]:((option(X0) * option(X1) * fun(option(X1),fun(option(X0),$o))) > X0)).
% 8.42/2.11  tff(func_def_4922, type, sK4363: !>[X0: $tType]:((fun(nat,X0) * fun(nat,X0)) > nat)).
% 8.42/2.11  tff(func_def_4923, type, sK4364: !>[X0: $tType]:((set(product_prod(X0,X0))) > X0)).
% 8.42/2.11  tff(func_def_4924, type, sK4365: !>[X0: $tType]:((set(product_prod(X0,X0))) > X0)).
% 8.42/2.11  tff(func_def_4925, type, sK4366: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1) * set(X1)) > X0)).
% 8.42/2.11  tff(func_def_4926, type, sK4367: !>[X0: $tType, X1: $tType]:((set(X1) * set(X0) * fun(X1,set(X0))) > X1)).
% 8.42/2.11  tff(func_def_4927, type, sK4368: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,set(X1)) * set(X1)) > X0)).
% 8.42/2.11  tff(func_def_4928, type, sK4369: !>[X0: $tType, X1: $tType]:((list(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_4929, type, sK4370: !>[X0: $tType, X1: $tType]:((list(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_4930, type, sK4371: list(vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_4931, type, sK4372: list(vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_4932, type, sK4373: vEBT_VEBT > nat).
% 8.42/2.11  tff(func_def_4933, type, sK4374: (list(vEBT_VEBT) * nat) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_4934, type, sK4375: list(vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_4935, type, sK4376: list(vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_4936, type, sK4377: vEBT_VEBT > nat).
% 8.42/2.11  tff(func_def_4937, type, sK4378: (list(vEBT_VEBT) * nat) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_4938, type, sK4379: !>[X0: $tType, X1: $tType]:((fun(X0,$o) * fun(X0,X1) * set(X1)) > X0)).
% 8.42/2.11  tff(func_def_4939, type, sK4380: (nat * fun(nat,nat)) > nat).
% 8.42/2.11  tff(func_def_4940, type, sK4381: (nat * fun(nat,nat)) > nat).
% 8.42/2.11  tff(func_def_4941, type, sK4382: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X2,fun(X1,X0)) * fun(product_prod(X2,X1),X0)) > X2)).
% 8.42/2.11  tff(func_def_4942, type, sK4383: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X2,fun(X1,X0)) * fun(product_prod(X2,X1),X0)) > X1)).
% 8.42/2.11  tff(func_def_4943, type, sK4384: (nat * real * fun(nat,fun(real,real))) > nat).
% 8.42/2.11  tff(func_def_4944, type, sK4385: (nat * real * fun(nat,fun(real,real))) > real).
% 8.42/2.11  tff(func_def_4945, type, sK4386: !>[X0: $tType]:((list(X0) * set(product_prod(X0,X0))) > X0)).
% 8.42/2.11  tff(func_def_4946, type, sK4387: !>[X0: $tType]:((list(X0) * set(product_prod(X0,X0))) > X0)).
% 8.42/2.11  tff(func_def_4947, type, sK4388: !>[X0: $tType]:((list(X0) * set(product_prod(X0,X0))) > X0)).
% 8.42/2.11  tff(func_def_4948, type, sK4389: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(product_prod(X2,product_prod(X1,X0)),$o)) > X2)).
% 8.42/2.11  tff(func_def_4949, type, sK4390: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(product_prod(X2,product_prod(X1,X0)),$o)) > X1)).
% 8.42/2.11  tff(func_def_4950, type, sK4391: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(product_prod(X2,product_prod(X1,X0)),$o)) > X0)).
% 8.42/2.11  tff(func_def_4951, type, sK4392: !>[X0: $tType]:((fun(X0,$o) * X0 * fun(X0,nat) * nat) > X0)).
% 8.42/2.11  tff(func_def_4952, type, sK4393: !>[X0: $tType]:((fun(X0,$o) * fun(X0,nat)) > X0)).
% 8.42/2.11  tff(func_def_4953, type, sK4394: !>[X0: $tType]:((fun(X0,$o) * fun(X0,nat)) > X0)).
% 8.42/2.11  tff(func_def_4954, type, sK4395: !>[X0: $tType]:((fun(X0,$o) * fun(X0,nat) * nat) > X0)).
% 8.42/2.11  tff(func_def_4955, type, sK4396: (fun(real,real) * fun(real,real) * real * real) > real).
% 8.42/2.11  tff(func_def_4956, type, sK4397: (real * real * fun(real,real)) > real).
% 8.42/2.11  tff(func_def_4957, type, sK4398: !>[X0: $tType, X1: $tType]:((fun(list(X0),fun(list(X1),$o))) > X0)).
% 8.42/2.11  tff(func_def_4958, type, sK4399: !>[X0: $tType, X1: $tType]:((fun(list(X0),fun(list(X1),$o))) > list(X0))).
% 8.42/2.11  tff(func_def_4959, type, sK4400: !>[X0: $tType, X1: $tType]:((fun(list(X0),fun(list(X1),$o))) > X1)).
% 8.42/2.11  tff(func_def_4960, type, sK4401: !>[X0: $tType, X1: $tType]:((fun(list(X0),fun(list(X1),$o))) > list(X1))).
% 8.42/2.11  tff(func_def_4961, type, sK4402: !>[X0: $tType, X1: $tType]:((fun(list(X0),fun(list(X1),$o))) > X1)).
% 8.42/2.11  tff(func_def_4962, type, sK4403: !>[X0: $tType, X1: $tType]:((fun(list(X0),fun(list(X1),$o))) > list(X1))).
% 8.42/2.11  tff(func_def_4963, type, sK4404: !>[X0: $tType, X1: $tType]:((fun(list(X0),fun(list(X1),$o))) > X0)).
% 8.42/2.11  tff(func_def_4964, type, sK4405: !>[X0: $tType, X1: $tType]:((fun(list(X0),fun(list(X1),$o))) > list(X0))).
% 8.42/2.11  tff(func_def_4965, type, sK4406: !>[X0: $tType]:((set(X0) * fun(X0,$o) * fun(X0,$o)) > X0)).
% 8.42/2.11  tff(func_def_4966, type, sK4407: !>[X0: $tType]:((set(X0) * fun(X0,$o) * fun(X0,$o)) > X0)).
% 8.42/2.11  tff(func_def_4967, type, sK4408: !>[X0: $tType]:((fun(X0,$o) * fun(X0,fun(X0,$o))) > X0)).
% 8.42/2.11  tff(func_def_4968, type, sK4409: !>[X0: $tType]:((fun(X0,$o) * fun(X0,fun(X0,$o))) > X0)).
% 8.42/2.11  tff(func_def_4969, type, sK4410: !>[X0: $tType]:((fun(X0,$o) * fun(X0,fun(X0,$o)) * fun(X0,$o)) > X0)).
% 8.42/2.11  tff(func_def_4970, type, sK4411: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X1,X0) * set(X1)) > set(X1))).
% 8.42/2.11  tff(func_def_4971, type, sK4412: (nat * list(vEBT_VEBT)) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_4972, type, sK4413: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * option(X0) * X1) > X0)).
% 8.42/2.11  tff(func_def_4973, type, sK4414: !>[X0: $tType]:((fun(X0,$o) * list(X0)) > X0)).
% 8.42/2.11  tff(func_def_4974, type, sK4415: !>[X0: $tType]:((list(X0) * fun(X0,$o) * X0 * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_4975, type, sK4416: !>[X0: $tType]:((list(X0) * fun(X0,$o) * X0 * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_4976, type, sK4417: !>[X0: $tType]:((fun(X0,$o) * list(X0)) > X0)).
% 8.42/2.11  tff(func_def_4977, type, sK4418: !>[X0: $tType]:((list(X0) * fun(X0,$o) * X0 * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_4978, type, sK4419: !>[X0: $tType]:((list(X0) * fun(X0,$o) * X0 * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_4979, type, sK4420: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * list(X1) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_4980, type, sK4421: !>[X0: $tType, X1: $tType]:((fun(X0,$o) * fun(X1,filter(X0)) * set(X1)) > set(X1))).
% 8.42/2.11  tff(func_def_4981, type, sK4422: !>[X0: $tType]:((list(X0) * list(X0) * list(X0) * X0) > list(X0))).
% 8.42/2.11  tff(func_def_4982, type, sK4423: !>[X0: $tType]:((list(X0) * list(X0) * list(X0) * X0) > list(X0))).
% 8.42/2.11  tff(func_def_4983, type, sK4424: !>[X0: $tType]:((list(X0) * list(X0) * list(X0) * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_4984, type, sK4425: !>[X0: $tType]:((set(product_prod(X0,X0)) * nat * fun(nat,X0)) > nat)).
% 8.42/2.11  tff(func_def_4985, type, sK4426: !>[X0: $tType]:((set(product_prod(X0,X0)) * nat * X0 * X0) > fun(nat,X0))).
% 8.42/2.11  tff(func_def_4986, type, sK4427: !>[X0: $tType]:((list(X0) * set(product_prod(X0,X0))) > X0)).
% 8.42/2.11  tff(func_def_4987, type, sK4428: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * fun(set(X0),$o)) > set(X1))).
% 8.42/2.11  tff(func_def_4988, type, sK4429: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * fun(set(X0),$o)) > set(X0))).
% 8.42/2.11  tff(func_def_4989, type, sK4430: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * fun(set(X0),$o)) > set(X1))).
% 8.42/2.11  tff(func_def_4990, type, sK4431: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * fun(set(X0),$o)) > set(X0))).
% 8.42/2.11  tff(func_def_4991, type, sK4432: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * fun(set(X0),$o)) > set(X0))).
% 8.42/2.11  tff(func_def_4992, type, sK4433: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * fun(set(X0),$o)) > set(X1))).
% 8.42/2.11  tff(func_def_4993, type, sK4434: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * X0) > X1)).
% 8.42/2.11  tff(func_def_4994, type, sK4435: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X1,$o) * X0) > X1)).
% 8.42/2.11  tff(func_def_4995, type, sK4436: !>[X0: $tType, X1: $tType]:((fun(X1,$o) * fun(X1,X0) * X0) > X1)).
% 8.42/2.11  tff(func_def_4996, type, sK4437: !>[X0: $tType, X1: $tType]:((fun(X1,set(X0)) * fun(X1,$o) * X0) > X1)).
% 8.42/2.11  tff(func_def_4997, type, sK4438: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X1,X0) * set(X1)) > set(X1))).
% 8.42/2.11  tff(func_def_4998, type, sK4439: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * set(X0) * set(X1)) > X0)).
% 8.42/2.11  tff(func_def_4999, type, sK4440: !>[X0: $tType, X1: $tType]:((fun(X1,set(X0)) * fun(X1,$o) * set(X0)) > X1)).
% 8.42/2.11  tff(func_def_5000, type, sK4441: !>[X0: $tType, X1: $tType]:((fun(X1,$o) * fun(X0,fun(X1,$o)) * X0) > X1)).
% 8.42/2.11  tff(func_def_5001, type, sK4442: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X1,set(X0)) * set(X1)) > X1)).
% 8.42/2.11  tff(func_def_5002, type, sK4443: !>[X0: $tType, X1: $tType]:((fun(X0,set(X1)) * set(X0) * set(X1)) > X0)).
% 8.42/2.11  tff(func_def_5003, type, sK4444: !>[X0: $tType]:((set(product_prod(X0,X0)) * list(X0) * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_5004, type, sK4445: !>[X0: $tType]:((set(product_prod(X0,X0)) * list(X0) * list(X0)) > X0)).
% 8.42/2.11  tff(func_def_5005, type, sK4446: !>[X0: $tType]:((set(product_prod(X0,X0)) * list(X0) * list(X0)) > X0)).
% 8.42/2.11  tff(func_def_5006, type, sK4447: !>[X0: $tType]:((set(product_prod(X0,X0)) * list(X0) * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_5007, type, sK4448: !>[X0: $tType]:((set(product_prod(X0,X0)) * list(X0) * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_5008, type, sK4449: !>[X0: $tType]:((fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) * X0 * X0) > X0)).
% 8.42/2.11  tff(func_def_5009, type, sK4450: !>[X0: $tType]:((fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) * X0 * X0) > X0)).
% 8.42/2.11  tff(func_def_5010, type, sK4451: !>[X0: $tType]:((fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) * X0 * X0) > X0)).
% 8.42/2.11  tff(func_def_5011, type, sK4452: !>[X0: $tType]:((X0 * X0) > X0)).
% 8.42/2.11  tff(func_def_5012, type, sK4453: !>[X0: $tType]:((X0 * X0 * fun(X0,fun(X0,$o))) > X0)).
% 8.42/2.11  tff(func_def_5013, type, sK4454: !>[X0: $tType]:((X0 * X0 * fun(X0,fun(X0,$o))) > X0)).
% 8.42/2.11  tff(func_def_5014, type, sK4455: !>[X0: $tType]:((fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) * X0 * X0) > X0)).
% 8.42/2.11  tff(func_def_5015, type, sK4456: !>[X0: $tType]:((fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) * X0 * X0) > X0)).
% 8.42/2.11  tff(func_def_5016, type, sK4457: !>[X0: $tType]:((fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) * X0 * X0) > X0)).
% 8.42/2.11  tff(func_def_5017, type, sK4458: !>[X0: $tType]:((fun(X0,fun(X0,$o)) * nat * fun(nat,X0)) > nat)).
% 8.42/2.11  tff(func_def_5018, type, sK4459: !>[X0: $tType]:((fun(X0,fun(X0,$o)) * nat * X0 * X0) > fun(nat,X0))).
% 8.42/2.11  tff(func_def_5019, type, sK4460: !>[X0: $tType]:((list(X0) * list(X0)) > X0)).
% 8.42/2.11  tff(func_def_5020, type, sK4461: !>[X0: $tType]:((list(X0) * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_5021, type, sK4462: !>[X0: $tType]:((fun(X0,fun(X0,$o)) * list(X0) * list(X0)) > X0)).
% 8.42/2.11  tff(func_def_5022, type, sK4463: !>[X0: $tType]:((fun(X0,fun(X0,$o)) * list(X0) * list(X0)) > X0)).
% 8.42/2.11  tff(func_def_5023, type, sK4464: !>[X0: $tType]:((fun(X0,fun(X0,$o)) * list(X0) * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_5024, type, sK4465: !>[X0: $tType]:((fun(X0,fun(X0,$o)) * list(X0) * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_5025, type, sK4466: !>[X0: $tType]:((fun(list(X0),fun(list(X0),$o)) * fun(X0,fun(X0,$o)) * list(X0) * list(X0)) > X0)).
% 8.42/2.11  tff(func_def_5026, type, sK4467: !>[X0: $tType]:((fun(list(X0),fun(list(X0),$o)) * fun(X0,fun(X0,$o)) * list(X0) * list(X0)) > X0)).
% 8.42/2.11  tff(func_def_5027, type, sK4468: !>[X0: $tType]:((fun(list(X0),fun(list(X0),$o)) * fun(X0,fun(X0,$o)) * list(X0) * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_5028, type, sK4469: !>[X0: $tType]:((fun(list(X0),fun(list(X0),$o)) * fun(X0,fun(X0,$o)) * list(X0) * list(X0)) > list(X0))).
% 8.42/2.11  tff(func_def_5029, type, sK4470: !>[X0: $tType, X1: $tType]:((fun(X0,option(X1)) * X0 * X1) > X0)).
% 8.42/2.11  tff(func_def_5030, type, sK4471: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod(X0,product_prod(X1,product_prod(X2,X3)))) > X0)).
% 8.42/2.11  tff(func_def_5031, type, sK4472: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod(X0,product_prod(X1,product_prod(X2,X3)))) > X1)).
% 8.42/2.11  tff(func_def_5032, type, sK4473: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod(X0,product_prod(X1,product_prod(X2,X3)))) > X2)).
% 8.42/2.11  tff(func_def_5033, type, sK4474: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod(X0,product_prod(X1,product_prod(X2,X3)))) > X3)).
% 8.42/2.11  tff(func_def_5034, type, sK4475: !>[X0: $tType, X1: $tType]:((set(X0) * set(X1) * fun(X0,fun(X1,$o)) * nat) > X1)).
% 8.42/2.11  tff(func_def_5035, type, sK4476: !>[X0: $tType, X1: $tType]:((option(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_5036, type, sK4477: !>[X0: $tType, X1: $tType]:((list(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_5037, type, sK4478: !>[X0: $tType, X1: $tType]:((list(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_5038, type, sK4479: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod(X0,X1) * set(product_prod(X0,X2)) * set(product_prod(X2,X1))) > X0)).
% 8.42/2.11  tff(func_def_5039, type, sK4480: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod(X0,X1) * set(product_prod(X0,X2)) * set(product_prod(X2,X1))) > X2)).
% 8.42/2.11  tff(func_def_5040, type, sK4481: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod(X0,X1) * set(product_prod(X0,X2)) * set(product_prod(X2,X1))) > X1)).
% 8.42/2.11  tff(func_def_5041, type, sK4482: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod(X1,X2) * fun(X0,X1) * product_prod(X0,X2)) > X0)).
% 8.42/2.11  tff(func_def_5042, type, sK4483: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod(X1,X2) * fun(X0,X1) * product_prod(X0,X2)) > X2)).
% 8.42/2.11  tff(func_def_5043, type, sK4484: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * list(X0) * X1 * list(X1)) > X0)).
% 8.42/2.11  tff(func_def_5044, type, sK4485: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * list(X0) * X1 * list(X1)) > list(X0))).
% 8.42/2.11  tff(func_def_5045, type, sK4486: !>[X0: $tType, X1: $tType]:((X0 * list(X0) * fun(X1,X0) * list(X1)) > X1)).
% 8.42/2.11  tff(func_def_5046, type, sK4487: !>[X0: $tType, X1: $tType]:((X0 * list(X0) * fun(X1,X0) * list(X1)) > list(X1))).
% 8.42/2.11  tff(func_def_5047, type, sK4488: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 * fun(X0,fun(X2,set(X1))) * product_prod(X0,X2)) > X0)).
% 8.42/2.11  tff(func_def_5048, type, sK4489: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 * fun(X0,fun(X2,set(X1))) * product_prod(X0,X2)) > X2)).
% 8.42/2.11  tff(func_def_5049, type, sK4490: (vEBT_VEBT * nat) > nat).
% 8.42/2.11  tff(func_def_5050, type, sK4491: !>[X0: $tType]:((nat * set(product_prod(X0,X0)) * X0 * X0) > X0)).
% 8.42/2.11  tff(func_def_5051, type, sK4492: (fun(nat,real) * fun(real,fun(nat,real)) * real * real) > nat).
% 8.42/2.11  tff(func_def_5052, type, sK4493: (fun(nat,real) * fun(real,fun(nat,real)) * real * real) > real).
% 8.42/2.11  tff(func_def_5053, type, sK4494: (fun(nat,real) * fun(real,fun(nat,real)) * real * real) > real).
% 8.42/2.11  tff(func_def_5054, type, sK4495: (fun(real,fun(nat,real)) * real * real) > real).
% 8.42/2.11  tff(func_def_5055, type, sK4496: (fun(real,fun(nat,real)) * fun(real,fun(nat,real)) * real) > nat).
% 8.42/2.11  tff(func_def_5056, type, sK4497: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X0,X1) * set(X1)) > X1)).
% 8.42/2.11  tff(func_def_5057, type, sK4498: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X1,X0) * fun(X0,X1)) > X0)).
% 8.42/2.11  tff(func_def_5058, type, sK4499: !>[X0: $tType, X1: $tType]:((list(X1) * list(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_5059, type, sK4500: !>[X0: $tType, X1: $tType]:((list(X1) * list(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 8.42/2.11  tff(func_def_5060, type, sK4501: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod(X2,X1) * X0 * fun(X2,fun(X1,set(X0)))) > X2)).
% 8.42/2.11  tff(func_def_5061, type, sK4502: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod(X2,X1) * X0 * fun(X2,fun(X1,set(X0)))) > X1)).
% 8.42/2.11  tff(func_def_5062, type, sK4503: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod(X0,X1) * fun(X0,fun(X1,fun(X2,$o))) * X2) > X0)).
% 8.42/2.11  tff(func_def_5063, type, sK4504: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod(X0,X1) * fun(X0,fun(X1,fun(X2,$o))) * X2) > X1)).
% 8.42/2.11  tff(func_def_5064, type, sK4505: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),$o)) > X3)).
% 8.42/2.11  tff(func_def_5065, type, sK4506: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),$o)) > X2)).
% 8.42/2.11  tff(func_def_5066, type, sK4507: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),$o)) > X1)).
% 8.42/2.11  tff(func_def_5067, type, sK4508: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),$o)) > X0)).
% 8.42/2.11  tff(func_def_5068, type, sK4509: (fun(real,real) * fun(real,real) * real * real) > real).
% 8.42/2.11  tff(func_def_5069, type, sK4510: (fun(real,real) * fun(real,real) * real * real) > real).
% 8.42/2.11  tff(func_def_5070, type, sK4511: (fun(real,real) * real * real) > real).
% 8.42/2.11  tff(func_def_5071, type, sK4512: (fun(real,real) * real * real) > real).
% 8.42/2.11  tff(func_def_5072, type, sK4513: (real * real * fun(real,real) * fun(real,real) * fun(real,real) * fun(real,real)) > real).
% 8.42/2.11  tff(func_def_5073, type, sK4514: (fun(nat,fun(real,real)) * real * real * nat) > nat).
% 8.42/2.11  tff(func_def_5074, type, sK4515: (fun(nat,fun(real,real)) * real * real * nat) > real).
% 8.42/2.11  tff(func_def_5075, type, sK4516: (nat * fun(nat,fun(real,real)) * fun(real,real) * real * real) > real).
% 8.42/2.11  tff(func_def_5076, type, sK4517: (fun(nat,fun(real,real)) * real * real * nat) > nat).
% 8.42/2.11  tff(func_def_5077, type, sK4518: (fun(nat,fun(real,real)) * real * real * nat) > real).
% 8.42/2.11  tff(func_def_5078, type, sK4519: (nat * fun(nat,fun(real,real)) * fun(real,real) * real * real) > real).
% 8.42/2.11  tff(func_def_5079, type, sK4520: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,set(X0)) * fun(X1,set(X0))) > X1)).
% 8.42/2.11  tff(func_def_5080, type, sK4521: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,set(X0)) * fun(X1,set(X0))) > X1)).
% 8.42/2.11  tff(func_def_5081, type, sK4522: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X1,$o) * fun(X0,fun(X2,X1)) * product_prod(X0,X2)) > X0)).
% 8.42/2.11  tff(func_def_5082, type, sK4523: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X1,$o) * fun(X0,fun(X2,X1)) * product_prod(X0,X2)) > X2)).
% 8.42/2.11  tff(func_def_5083, type, sK4524: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X1,fun(X0,fun(X2,$o))) * product_prod(X1,X0) * X2) > X1)).
% 8.42/2.11  tff(func_def_5084, type, sK4525: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X1,fun(X0,fun(X2,$o))) * product_prod(X1,X0) * X2) > X0)).
% 8.42/2.11  tff(func_def_5085, type, sK4526: !>[X0: $tType]:((fun(fun(nat,fun(X0,X0)),fun(nat,fun(nat,fun(X0,$o))))) > fun(nat,fun(X0,X0)))).
% 8.42/2.11  tff(func_def_5086, type, sK4527: !>[X0: $tType]:((fun(fun(nat,fun(X0,X0)),fun(nat,fun(nat,fun(X0,$o))))) > nat)).
% 8.42/2.11  tff(func_def_5087, type, sK4528: !>[X0: $tType]:((fun(fun(nat,fun(X0,X0)),fun(nat,fun(nat,fun(X0,$o))))) > nat)).
% 8.42/2.11  tff(func_def_5088, type, sK4529: !>[X0: $tType]:((fun(fun(nat,fun(X0,X0)),fun(nat,fun(nat,fun(X0,$o))))) > X0)).
% 8.42/2.11  tff(func_def_5089, type, sK4530: !>[X0: $tType, X1: $tType]:((X0 * list(X0) * fun(X1,X0) * list(X1)) > X1)).
% 8.42/2.11  tff(func_def_5090, type, sK4531: !>[X0: $tType, X1: $tType]:((X0 * list(X0) * fun(X1,X0) * list(X1)) > list(X1))).
% 8.42/2.11  tff(func_def_5091, type, sK4532: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * list(X0) * X1 * list(X1)) > X0)).
% 8.42/2.11  tff(func_def_5092, type, sK4533: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * list(X0) * X1 * list(X1)) > list(X0))).
% 8.42/2.11  tff(func_def_5093, type, sK4534: !>[X0: $tType, X1: $tType]:((list(X0) * list(X0) * fun(X1,X0) * list(X1)) > list(X1))).
% 8.42/2.11  tff(func_def_5094, type, sK4535: !>[X0: $tType, X1: $tType]:((list(X0) * list(X0) * fun(X1,X0) * list(X1)) > list(X1))).
% 8.42/2.11  tff(func_def_5095, type, sK4536: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * list(X1) * list(X0) * list(X0)) > list(X1))).
% 8.42/2.11  tff(func_def_5096, type, sK4537: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * list(X1) * list(X0) * list(X0)) > list(X1))).
% 8.42/2.11  tff(func_def_5097, type, sK4538: !>[X0: $tType]:((fun(X0,$o) * list(X0)) > X0)).
% 8.42/2.11  tff(func_def_5098, type, sK4539: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4))))) > X0)).
% 8.42/2.11  tff(func_def_5099, type, sK4540: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4))))) > X1)).
% 8.42/2.11  tff(func_def_5100, type, sK4541: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4))))) > X2)).
% 8.42/2.11  tff(func_def_5101, type, sK4542: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4))))) > X3)).
% 8.42/2.11  tff(func_def_5102, type, sK4543: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4))))) > X4)).
% 8.42/2.11  tff(func_def_5103, type, sK4544: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X0,$o)) * fun(X1,X0) * set(X1)) > list(X1))).
% 8.42/2.11  tff(func_def_5104, type, sK4545: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(list(X1),fun(list(X0),fun(list(X2),$o)))) > X1)).
% 8.42/2.11  tff(func_def_5105, type, sK4546: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(list(X1),fun(list(X0),fun(list(X2),$o)))) > list(X1))).
% 8.42/2.11  tff(func_def_5106, type, sK4547: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(list(X1),fun(list(X0),fun(list(X2),$o)))) > X0)).
% 8.42/2.11  tff(func_def_5107, type, sK4548: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(list(X1),fun(list(X0),fun(list(X2),$o)))) > list(X0))).
% 8.42/2.11  tff(func_def_5108, type, sK4549: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(list(X1),fun(list(X0),fun(list(X2),$o)))) > X2)).
% 8.42/2.11  tff(func_def_5109, type, sK4550: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(list(X1),fun(list(X0),fun(list(X2),$o)))) > list(X2))).
% 8.42/2.11  tff(func_def_5110, type, sK4551: !>[X0: $tType, X1: $tType]:((set(X1) * set(X0) * fun(X1,fun(X0,$o)) * fun(X1,fun(X0,$o))) > X1)).
% 8.42/2.11  tff(func_def_5111, type, sK4552: !>[X0: $tType, X1: $tType]:((set(X1) * set(X0) * fun(X1,fun(X0,$o)) * fun(X1,fun(X0,$o))) > X0)).
% 8.42/2.11  tff(func_def_5112, type, sK4553: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 * X1 * set(product_prod(X0,X2)) * set(product_prod(X2,X1))) > X2)).
% 8.42/2.11  tff(func_def_5113, type, sK4554: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 * X1 * set(product_prod(X0,X2)) * set(product_prod(X2,X1))) > X2)).
% 8.42/2.11  tff(func_def_5114, type, sK4555: list(vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_5115, type, sK4556: list(vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_5116, type, sK4557: (vEBT_VEBT * list(vEBT_VEBT) * nat) > nat).
% 8.42/2.11  tff(func_def_5117, type, sK4558: (vEBT_VEBT * list(vEBT_VEBT) * nat) > nat).
% 8.42/2.11  tff(func_def_5118, type, sK4559: (list(vEBT_VEBT) * nat * nat * nat * nat) > nat).
% 8.42/2.11  tff(func_def_5119, type, sK4560: (nat * nat * nat * nat * list(vEBT_VEBT)) > nat).
% 8.42/2.11  tff(func_def_5120, type, sK4561: (list(vEBT_VEBT) * nat) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_5121, type, sK4562: list(vEBT_VEBT) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_5122, type, sK4563: list(vEBT_VEBT) > nat).
% 8.42/2.11  tff(func_def_5123, type, sK4564: (vEBT_VEBT * list(vEBT_VEBT) * nat) > nat).
% 8.42/2.11  tff(func_def_5124, type, sK4565: (vEBT_VEBT * list(vEBT_VEBT) * nat) > nat).
% 8.42/2.11  tff(func_def_5125, type, sK4566: (list(vEBT_VEBT) * nat * nat * nat * nat) > nat).
% 8.42/2.11  tff(func_def_5126, type, sK4567: (nat * nat * nat * nat * list(vEBT_VEBT)) > nat).
% 8.42/2.11  tff(func_def_5127, type, sK4568: (list(vEBT_VEBT) * nat) > vEBT_VEBT).
% 8.42/2.11  tff(func_def_5128, type, sK4569: !>[X0: $tType, X1: $tType]:((fun(X1,set(X0)) * set(X1)) > X1)).
% 8.42/2.11  tff(func_def_5129, type, sK4570: !>[X0: $tType, X1: $tType]:((fun(X1,set(X0)) * set(X1)) > X1)).
% 8.42/2.11  tff(func_def_5130, type, sK4571: !>[X0: $tType, X1: $tType, X2: $tType]:((set(X2) * fun(X2,set(X0)) * fun(X0,X1) * fun(X2,set(X1))) > X2)).
% 8.42/2.11  tff(func_def_5131, type, sK4572: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod(X2,X1) * fun(X2,fun(X1,X0)) * fun(X2,fun(X1,X0))) > X2)).
% 8.42/2.11  tff(func_def_5132, type, sK4573: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod(X2,X1) * fun(X2,fun(X1,X0)) * fun(X2,fun(X1,X0))) > X1)).
% 8.42/2.11  tff(func_def_5133, type, sK4574: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((fun(product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))),$o)) > X4)).
% 8.42/2.11  tff(func_def_5134, type, sK4575: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((fun(product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))),$o)) > X3)).
% 8.42/2.11  tff(func_def_5135, type, sK4576: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((fun(product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))),$o)) > X2)).
% 8.42/2.11  tff(func_def_5136, type, sK4577: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((fun(product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))),$o)) > X1)).
% 8.42/2.11  tff(func_def_5137, type, sK4578: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((fun(product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))),$o)) > X0)).
% 8.42/2.11  tff(func_def_5138, type, sK4579: (fun(nat,fun(real,real)) * real * real * nat) > nat).
% 8.42/2.11  tff(func_def_5139, type, sK4580: (fun(nat,fun(real,real)) * real * real * nat) > real).
% 8.42/2.11  tff(func_def_5140, type, sK4581: (nat * fun(nat,fun(real,real)) * fun(real,real) * real * real) > real).
% 8.42/2.11  tff(func_def_5141, type, sK4582: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 * X1 * set(product_prod(X0,X2)) * set(product_prod(X2,X1))) > X0)).
% 8.42/2.11  tff(func_def_5142, type, sK4583: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 * X1 * set(product_prod(X0,X2)) * set(product_prod(X2,X1))) > X2)).
% 8.42/2.11  tff(func_def_5143, type, sK4584: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 * X1 * set(product_prod(X0,X2)) * set(product_prod(X2,X1))) > X1)).
% 8.42/2.11  tff(func_def_5144, type, sK4585: !>[X0: $tType, X1: $tType, X2: $tType]:((set(product_prod(X0,X2)) * set(product_prod(X2,X1)) * X0 * X1) > X2)).
% 8.42/2.11  tff(func_def_5145, type, sK4586: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X0,$o) * fun(X2,$o) * fun(X0,fun(X2,X1)) * X1) > X0)).
% 8.42/2.11  tff(func_def_5146, type, sK4587: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X0,$o) * fun(X2,$o) * fun(X0,fun(X2,X1)) * X1) > X2)).
% 8.42/2.11  tff(func_def_5147, type, sK4588: !>[X0: $tType, X1: $tType, X2: $tType]:((set(X2) * fun(X2,X1) * fun(X2,X0) * product_prod(X1,X0)) > X2)).
% 8.42/2.11  tff(func_def_5148, type, sK4589: (vEBT_VEBT * list(vEBT_VEBT) * nat) > nat).
% 8.42/2.11  tff(func_def_5149, type, sK4590: (vEBT_VEBT * list(vEBT_VEBT) * nat) > nat).
% 8.42/2.11  tff(func_def_5150, type, sK4591: (list(vEBT_VEBT) * nat) > nat).
% 8.42/2.11  tff(func_def_5151, type, sK4592: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5)))))) > X0)).
% 8.42/2.11  tff(func_def_5152, type, sK4593: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5)))))) > X1)).
% 8.42/2.11  tff(func_def_5153, type, sK4594: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5)))))) > X2)).
% 8.42/2.11  tff(func_def_5154, type, sK4595: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5)))))) > X3)).
% 8.42/2.11  tff(func_def_5155, type, sK4596: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5)))))) > X4)).
% 8.42/2.11  tff(func_def_5156, type, sK4597: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5)))))) > X5)).
% 8.42/2.11  tff(func_def_5157, type, sK4598: !>[X0: $tType, X1: $tType]:((list(X0) * fun(X0,fun(X1,X1)) * fun(X0,fun(X1,X1))) > X1)).
% 8.42/2.11  tff(func_def_5158, type, sK4599: !>[X0: $tType, X1: $tType]:((list(X0) * fun(X0,fun(X1,X1)) * fun(X0,fun(X1,X1))) > X0)).
% 8.42/2.11  tff(func_def_5159, type, sK4600: !>[X0: $tType, X1: $tType]:((fun(X1,fun(X0,$o)) * set(product_prod(product_prod(X1,X0),product_prod(X1,X0))) * X0 * X1) > X1)).
% 8.42/2.11  tff(func_def_5160, type, sK4601: !>[X0: $tType, X1: $tType]:((fun(X1,fun(X0,$o)) * set(product_prod(product_prod(X1,X0),product_prod(X1,X0))) * X0 * X1) > X0)).
% 8.42/2.11  tff(func_def_5161, type, sK4602: !>[X0: $tType, X1: $tType]:((fun(X1,fun(X0,$o)) * set(product_prod(product_prod(X1,X0),product_prod(X1,X0))) * X0 * X1) > X1)).
% 8.42/2.11  tff(func_def_5162, type, sK4603: !>[X0: $tType, X1: $tType]:((fun(X1,fun(X0,$o)) * set(product_prod(product_prod(X1,X0),product_prod(X1,X0))) * X0 * X1) > X0)).
% 8.42/2.11  tff(func_def_5163, type, sK4604: !>[X0: $tType, X1: $tType]:((X0 * X1 * set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) * fun(X0,fun(X1,$o))) > X0)).
% 8.42/2.11  tff(func_def_5164, type, sK4605: !>[X0: $tType, X1: $tType]:((X0 * X1 * set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) * fun(X0,fun(X1,$o))) > X1)).
% 8.42/2.11  tff(func_def_5165, type, sK4606: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((fun(product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))),$o)) > X5)).
% 8.42/2.11  tff(func_def_5166, type, sK4607: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((fun(product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))),$o)) > X4)).
% 8.42/2.11  tff(func_def_5167, type, sK4608: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((fun(product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))),$o)) > X3)).
% 8.42/2.11  tff(func_def_5168, type, sK4609: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((fun(product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))),$o)) > X2)).
% 8.42/2.11  tff(func_def_5169, type, sK4610: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((fun(product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))),$o)) > X1)).
% 8.42/2.11  tff(func_def_5170, type, sK4611: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((fun(product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))),$o)) > X0)).
% 8.42/2.11  tff(func_def_5171, type, sK4612: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,product_prod(X5,X6))))))) > X0)).
% 8.42/2.11  tff(func_def_5172, type, sK4613: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,product_prod(X5,X6))))))) > X1)).
% 8.42/2.11  tff(func_def_5173, type, sK4614: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,product_prod(X5,X6))))))) > X2)).
% 8.42/2.11  tff(func_def_5174, type, sK4615: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,product_prod(X5,X6))))))) > X3)).
% 8.42/2.11  tff(func_def_5175, type, sK4616: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,product_prod(X5,X6))))))) > X4)).
% 8.42/2.11  tff(func_def_5176, type, sK4617: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,product_prod(X5,X6))))))) > X5)).
% 8.42/2.11  tff(func_def_5177, type, sK4618: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,product_prod(X5,X6))))))) > X6)).
% 8.42/2.11  tff(func_def_5178, type, sK4619: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((fun(X1,set(X0)) * fun(X2,X0) * fun(X3,set(X2)) * set(X3) * set(X1)) > X1)).
% 8.42/2.11  tff(func_def_5179, type, sK4620: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((fun(X1,set(X0)) * fun(X2,X0) * fun(X3,set(X2)) * set(X3) * set(X1) * X3) > X2)).
% 8.42/2.11  tff(func_def_5180, type, sK4621: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((fun(X1,set(X0)) * fun(X2,X0) * fun(X3,set(X2)) * set(X3) * X1) > X3)).
% 8.42/2.11  tff(func_def_5181, type, sK4622: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,set(X1))) > X0)).
% 8.42/2.11  tff(func_def_5182, type, sK4623: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,set(X1))) > X0)).
% 8.42/2.11  tff(func_def_5183, type, sK4624: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((fun(list(X3),fun(list(X2),fun(list(X1),fun(list(X0),$o))))) > X3)).
% 8.42/2.11  tff(func_def_5184, type, sK4625: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((fun(list(X3),fun(list(X2),fun(list(X1),fun(list(X0),$o))))) > list(X3))).
% 8.42/2.11  tff(func_def_5185, type, sK4626: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((fun(list(X3),fun(list(X2),fun(list(X1),fun(list(X0),$o))))) > X2)).
% 8.42/2.11  tff(func_def_5186, type, sK4627: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((fun(list(X3),fun(list(X2),fun(list(X1),fun(list(X0),$o))))) > list(X2))).
% 8.42/2.11  tff(func_def_5187, type, sK4628: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((fun(list(X3),fun(list(X2),fun(list(X1),fun(list(X0),$o))))) > X1)).
% 8.42/2.11  tff(func_def_5188, type, sK4629: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((fun(list(X3),fun(list(X2),fun(list(X1),fun(list(X0),$o))))) > list(X1))).
% 8.42/2.11  tff(func_def_5189, type, sK4630: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((fun(list(X3),fun(list(X2),fun(list(X1),fun(list(X0),$o))))) > X0)).
% 8.42/2.11  tff(func_def_5190, type, sK4631: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((fun(list(X3),fun(list(X2),fun(list(X1),fun(list(X0),$o))))) > list(X0))).
% 8.42/2.11  tff(func_def_5191, type, sK4632: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((fun(product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))),$o)) > X6)).
% 8.42/2.11  tff(func_def_5192, type, sK4633: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((fun(product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))),$o)) > X5)).
% 8.42/2.11  tff(func_def_5193, type, sK4634: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((fun(product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))),$o)) > X4)).
% 8.42/2.11  tff(func_def_5194, type, sK4635: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((fun(product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))),$o)) > X3)).
% 8.42/2.11  tff(func_def_5195, type, sK4636: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((fun(product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))),$o)) > X2)).
% 8.42/2.11  tff(func_def_5196, type, sK4637: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((fun(product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))),$o)) > X1)).
% 8.42/2.11  tff(func_def_5197, type, sK4638: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((fun(product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))),$o)) > X0)).
% 8.42/2.11  tff(func_def_5198, type, sK4639: real).
% 8.42/2.11  tff(func_def_5199, type, sK4640: nat).
% 8.42/2.11  tff(pred_def_1, type, type: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_2, type, size: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_3, type, dvd: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_4, type, one: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_5, type, idom: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_6, type, ring: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_7, type, plus: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_8, type, zero: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_9, type, numeral: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_10, type, power: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_11, type, field: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_12, type, ring_gcd: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_13, type, minus: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_14, type, abs_if: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_15, type, ring_1: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_16, type, uminus: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_17, type, bot: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_18, type, ord: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_19, type, inverse: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_20, type, semiring: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_21, type, ring_char_0: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_22, type, neg_numeral: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_23, type, order: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_24, type, comm_ring: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_25, type, mult_zero: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_26, type, semiring_Gcd: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_27, type, semiring_gcd: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_28, type, group_add: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_29, type, lattice: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_30, type, no_bot: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_31, type, no_top: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_32, type, semiring_0: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_33, type, semiring_1: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_34, type, monoid_add: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_35, type, comm_ring_1: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_36, type, idom_divide: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_37, type, idom_modulo: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_38, type, ln: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_39, type, monoid_mult: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_40, type, linorder: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_41, type, preorder: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_42, type, ring_parity: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_43, type, idom_abs_sgn: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_44, type, ordered_ring: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_45, type, zero_neq_one: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_46, type, finite_lattice: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_47, type, field_char_0: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_48, type, ab_group_add: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_49, type, semiring_char_0: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_50, type, order_bot: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_51, type, order_top: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_52, type, wellorder: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_53, type, comm_semiring: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_54, type, zero_less_one: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_55, type, division_ring: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_56, type, field_abs_sgn: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_57, type, semigroup_add: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_58, type, semiring_numeral: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_59, type, semidom_divide: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_60, type, semidom_modulo: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_61, type, semigroup_mult: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_62, type, dense_order: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_63, type, comm_semiring_0: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_64, type, comm_semiring_1: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_65, type, linordered_idom: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_66, type, linordered_ring: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_67, type, semiring_modulo: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_68, type, comm_monoid_add: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_69, type, semiring_parity: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_70, type, ordered_ring_abs: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_71, type, ordered_semiring: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_72, type, linordered_field: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_73, type, ab_semigroup_add: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_74, type, comm_monoid_diff: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_75, type, comm_monoid_mult: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_76, type, algebraic_semidom: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_77, type, semiring_1_cancel: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_78, type, ab_semigroup_mult: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_79, type, bounded_lattice: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_80, type, distrib_lattice: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_81, type, semilattice_inf: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_82, type, semilattice_sup: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_83, type, dense_linorder: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_84, type, linordered_semidom: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_85, type, ordered_semiring_0: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_86, type, real_Vector_banach: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_87, type, linordered_semiring: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_88, type, comple9053668089753744459l_ccpo: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_89, type, finite8700451911770168679attice: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_90, type, cancel_semigroup_add: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_91, type, ordered_ab_group_add: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_92, type, linord6961819062388156250ring_1: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_93, type, ordere2520102378445227354miring: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_94, type, topological_t2_space: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_95, type, bit_semiring_bits: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_96, type, bounded_lattice_bot: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_97, type, topolo1633459387980952147up_add: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_98, type, real_V6936659425649961206t_norm: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_99, type, comm_s4317794764714335236cancel: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_100, type, linord4710134922213307826strict: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_101, type, cancel1802427076303600483id_add: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_102, type, topolo6943815403480290642id_add: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_103, type, real_V7773925162809079976_field: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_104, type, ring_15535105094025558882visors: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_105, type, cancel2418104881723323429up_add: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_106, type, linord5086331880401160121up_add: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_107, type, ordere6911136660526730532id_add: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_108, type, topolo1898628316856586783d_mult: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_109, type, real_V4867850818363320053vector: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_110, type, archim2362893244070406136eiling: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_111, type, semiri6843258321239162965malize: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_112, type, ordere166539214618696060dd_abs: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_113, type, ordere6658533253407199908up_add: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_114, type, topolo1287966508704411220up_add: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_115, type, real_V7819770556892013058_space: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_116, type, real_V6157519004096292374lgebra: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_117, type, semiri3467727345109120633visors: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_118, type, boolea8198339166811842893lgebra: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_119, type, linord8928482502909563296strict: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_120, type, topolo8386298272705272623_space: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_121, type, topolo7287701948861334536_space: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_122, type, euclid5891614535332579305n_ring: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_123, type, topolo4211221413907600880p_mult: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_124, type, real_V8037385150606011577_space: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_125, type, real_V2191834092415804123ebra_1: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_126, type, linord181362715937106298miring: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_127, type, semiri2026040879449505780visors: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_128, type, topolo2564578578187576103pology: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_129, type, bit_ri3973907225187159222ations: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_130, type, comple6319245703460814977attice: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_131, type, linord4140545234300271783up_add: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_132, type, topolo5987344860129210374id_add: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_133, type, unboun7993243217541854897norder: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_134, type, linord715952674999750819strict: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_135, type, archim462609752435547400_field: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_136, type, comple5582772986160207858norder: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_137, type, topolo4987421752381908075d_mult: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_138, type, real_V5047593784448816457lgebra: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_139, type, bounde4346867609351753570nf_top: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_140, type, bounde4967611905675639751up_bot: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_141, type, real_V3459762299906320749_field: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_142, type, topolo8865339358273720382pology: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_143, type, topolo1944317154257567458pology: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_144, type, topolo4958980785337419405_space: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_145, type, euclid3725896446679973847miring: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_146, type, canoni5634975068530333245id_add: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_147, type, ordere8940638589300402666id_add: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_148, type, strict7427464778891057005id_add: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_149, type, real_V822414075346904944vector: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_150, type, linord2810124833399127020strict: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_151, type, bit_se359711467146920520ations: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_152, type, ordere2412721322843649153imp_le: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_153, type, ordere580206878836729694up_add: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_154, type, ordere1170586879665033532d_diff: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_155, type, strict9044650504122735259up_add: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_156, type, real_V5355595471888546746vector: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_157, type, real_V4412858255891104859lgebra: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_158, type, semiri6575147826004484403cancel: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_159, type, euclid8851590272496341667cancel: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_160, type, real_V2822296259951069270ebra_1: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_161, type, unique1627219031080169319umeral: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_162, type, comple592849572758109894attice: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_163, type, real_V8999393235501362500lgebra: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_164, type, topolo3112930676232923870pology: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_165, type, euclid4440199948858584721cancel: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_166, type, euclid3128863361964157862miring: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_167, type, topolo8458572112393995274pology: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_168, type, ordere1937475149494474687imp_le: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_169, type, condit5016429287641298734tinuum: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_170, type, euclid8789492081693882211th_nat: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_171, type, euclid5411537665997757685th_nat: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_172, type, counta3822494911875563373attice: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_173, type, semiri1453513574482234551roduct: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_174, type, bit_un5681908812861735899ations: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_175, type, condit1219197933456340205attice: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_176, type, condit6923001295902523014norder: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_177, type, boolea2506097494486148201lgebra: !>[X0: $tType]:((fun(X0,fun(X0,X0)) * fun(X0,fun(X0,X0)) * fun(X0,X0) * X0 * X0) > $o)).
% 8.42/2.11  tff(pred_def_178, type, boolea3799213064322606851m_diff: !>[X0: $tType]:((fun(X0,fun(X0,X0)) * fun(X0,fun(X0,X0)) * fun(X0,X0) * X0 * X0 * fun(X0,fun(X0,X0))) > $o)).
% 8.42/2.11  tff(pred_def_179, type, comple1602240252501008431_chain: !>[X0: $tType]:((fun(X0,fun(X0,$o)) * set(X0)) > $o)).
% 8.42/2.11  tff(pred_def_180, type, condit941137186595557371_above: !>[X0: $tType]:((set(X0)) > $o)).
% 8.42/2.11  tff(pred_def_181, type, condit1013018076250108175_below: !>[X0: $tType]:((set(X0)) > $o)).
% 8.42/2.11  tff(pred_def_182, type, differentiable: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * filter(X0)) > $o)).
% 8.42/2.11  tff(pred_def_183, type, has_derivative: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * fun(X0,X1) * filter(X0)) > $o)).
% 8.42/2.11  tff(pred_def_184, type, has_field_derivative: !>[X0: $tType]:((fun(X0,X0) * X0 * filter(X0)) > $o)).
% 8.42/2.11  tff(pred_def_185, type, eucl_rel_int: (int * int * product_prod(int,int)) > $o).
% 8.42/2.11  tff(pred_def_186, type, unique5940410009612947441es_aux: !>[X0: $tType]:((product_prod(X0,X0)) > $o)).
% 8.42/2.11  tff(pred_def_187, type, eventually: !>[X0: $tType]:((fun(X0,$o) * filter(X0)) > $o)).
% 8.42/2.11  tff(pred_def_188, type, filterlim: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * filter(X1) * filter(X0)) > $o)).
% 8.42/2.11  tff(pred_def_189, type, finite6289374366891150609ommute: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X1,X1))) > $o)).
% 8.42/2.11  tff(pred_def_190, type, finite_finite: !>[X0: $tType]:((set(X0)) > $o)).
% 8.42/2.11  tff(pred_def_191, type, bij_betw: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * set(X0) * set(X1)) > $o)).
% 8.42/2.11  tff(pred_def_192, type, strict_mono_on: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * set(X0)) > $o)).
% 8.42/2.11  tff(pred_def_193, type, nO_MATCH: !>[X0: $tType, X1: $tType]:((X0 * X1) > $o)).
% 8.42/2.11  tff(pred_def_194, type, semila1105856199041335345_order: !>[X0: $tType]:((fun(X0,fun(X0,X0)) * X0 * fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o))) > $o)).
% 8.42/2.11  tff(pred_def_195, type, bfun: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * filter(X0)) > $o)).
% 8.42/2.11  tff(pred_def_196, type, distinct: !>[X0: $tType]:((list(X0)) > $o)).
% 8.42/2.11  tff(pred_def_197, type, folding_insort_key: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) * set(X1) * fun(X1,X0)) > $o)).
% 8.42/2.11  tff(pred_def_198, type, lexordp: !>[X0: $tType]:((fun(X0,fun(X0,$o)) * list(X0) * list(X0)) > $o)).
% 8.42/2.11  tff(pred_def_199, type, listrel1p: !>[X0: $tType]:((fun(X0,fun(X0,$o)) * list(X0) * list(X0)) > $o)).
% 8.42/2.11  tff(pred_def_200, type, sorted_wrt: !>[X0: $tType]:((fun(X0,fun(X0,$o)) * list(X0)) > $o)).
% 8.42/2.11  tff(pred_def_201, type, ring_1_iszero: !>[X0: $tType]:((X0) > $o)).
% 8.42/2.11  tff(pred_def_202, type, order_antimono: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > $o)).
% 8.42/2.11  tff(pred_def_203, type, order_mono: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > $o)).
% 8.42/2.11  tff(pred_def_204, type, real_V3181309239436604168linear: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > $o)).
% 8.42/2.11  tff(pred_def_205, type, real_V4916620083959148203axioms: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > $o)).
% 8.42/2.11  tff(pred_def_206, type, dvd_dvd: !>[X0: $tType]:((X0 * X0) > $o)).
% 8.42/2.11  tff(pred_def_207, type, summable: !>[X0: $tType]:((fun(nat,X0)) > $o)).
% 8.42/2.11  tff(pred_def_208, type, sums: !>[X0: $tType]:((fun(nat,X0) * X0) > $o)).
% 8.42/2.11  tff(pred_def_209, type, is_singleton: !>[X0: $tType]:((set(X0)) > $o)).
% 8.42/2.11  tff(pred_def_210, type, topolo3448309680560233919inuous: !>[X0: $tType, X1: $tType]:((filter(X0) * fun(X0,X1)) > $o)).
% 8.42/2.11  tff(pred_def_211, type, topolo81223032696312382ous_on: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1)) > $o)).
% 8.42/2.11  tff(pred_def_212, type, topological_monoseq: !>[X0: $tType]:((fun(nat,X0)) > $o)).
% 8.42/2.11  tff(pred_def_213, type, topolo1002775350975398744n_open: !>[X0: $tType]:((set(X0)) > $o)).
% 8.42/2.11  tff(pred_def_214, type, topolo2193935891317330818ompact: !>[X0: $tType]:((set(X0)) > $o)).
% 8.42/2.11  tff(pred_def_215, type, topolo3814608138187158403Cauchy: !>[X0: $tType]:((fun(nat,X0)) > $o)).
% 8.42/2.11  tff(pred_def_216, type, topolo6688025880775521714ounded: !>[X0: $tType]:((set(X0)) > $o)).
% 8.42/2.11  tff(pred_def_217, type, vEBT_V5917875025757280293ildren: (nat * list(vEBT_VEBT) * nat) > $o).
% 8.42/2.11  tff(pred_def_218, type, vEBT_VEBT_membermima: (vEBT_VEBT * nat) > $o).
% 8.42/2.11  tff(pred_def_219, type, vEBT_V5719532721284313246member: (vEBT_VEBT * nat) > $o).
% 8.42/2.11  tff(pred_def_220, type, vEBT_VEBT_valid: (vEBT_VEBT * nat) > $o).
% 8.42/2.11  tff(pred_def_221, type, vEBT_invar_vebt: (vEBT_VEBT * nat) > $o).
% 8.42/2.11  tff(pred_def_222, type, vEBT_VEBT_minNull: vEBT_VEBT > $o).
% 8.42/2.11  tff(pred_def_223, type, vEBT_VEBT_greater: (option(nat) * option(nat)) > $o).
% 8.42/2.11  tff(pred_def_224, type, vEBT_VEBT_less: (option(nat) * option(nat)) > $o).
% 8.42/2.11  tff(pred_def_225, type, vEBT_VEBT_lesseq: (option(nat) * option(nat)) > $o).
% 8.42/2.11  tff(pred_def_226, type, vEBT_VEBT_max_in_set: (set(nat) * nat) > $o).
% 8.42/2.11  tff(pred_def_227, type, vEBT_VEBT_min_in_set: (set(nat) * nat) > $o).
% 8.42/2.11  tff(pred_def_228, type, vEBT_is_pred_in_set: (set(nat) * nat * nat) > $o).
% 8.42/2.11  tff(pred_def_229, type, member: !>[X0: $tType]:((X0 * set(X0)) > $o)).
% 8.42/2.11  tff(pred_def_230, type, iG246: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 8.42/2.11  tff(pred_def_231, type, iG247: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 8.42/2.11  tff(pred_def_232, type, iG248: !>[X0: $tType]:((X0 * num * X0) > $o)).
% 8.42/2.11  tff(pred_def_233, type, iG249: !>[X0: $tType]:((X0 * num * X0) > $o)).
% 8.42/2.11  tff(pred_def_234, type, iG250: !>[X0: $tType]:((num * X0 * X0) > $o)).
% 8.42/2.11  tff(pred_def_235, type, iG251: !>[X0: $tType]:((num * X0 * X0) > $o)).
% 8.42/2.11  tff(pred_def_236, type, iG252: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 8.42/2.11  tff(pred_def_237, type, iG253: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 8.42/2.11  tff(pred_def_238, type, iG254: !>[X0: $tType]:((X0 * num * X0) > $o)).
% 8.42/2.11  tff(pred_def_239, type, iG255: !>[X0: $tType]:((X0 * num * X0) > $o)).
% 8.42/2.11  tff(pred_def_240, type, iG256: !>[X0: $tType]:((num * X0 * X0) > $o)).
% 8.42/2.11  tff(pred_def_241, type, iG257: !>[X0: $tType]:((num * X0 * X0) > $o)).
% 8.42/2.11  tff(pred_def_242, type, iG558: (nat * $o) > $o).
% 8.42/2.11  tff(pred_def_243, type, iG559: (nat * $o * $o) > $o).
% 8.42/2.11  tff(pred_def_244, type, iG561: (list(vEBT_VEBT) * nat * nat) > $o).
% 8.42/2.11  tff(pred_def_245, type, iG566: (nat * $o) > $o).
% 8.42/2.11  tff(pred_def_246, type, iG567: (nat * $o * $o) > $o).
% 8.42/2.11  tff(pred_def_247, type, iG569: (list(vEBT_VEBT) * nat * nat) > $o).
% 8.42/2.11  tff(pred_def_248, type, iG573: (list(vEBT_VEBT) * nat * nat) > $o).
% 8.42/2.11  tff(pred_def_249, type, iG575: (list(vEBT_VEBT) * nat * nat) > $o).
% 8.42/2.11  tff(pred_def_250, type, iG581: (list(vEBT_VEBT) * nat * nat) > $o).
% 8.42/2.11  tff(pred_def_251, type, iG583: (list(vEBT_VEBT) * nat * nat) > $o).
% 8.42/2.11  tff(pred_def_252, type, iG598: (nat * $o) > $o).
% 8.42/2.11  tff(pred_def_253, type, iG599: (nat * $o * $o) > $o).
% 8.42/2.11  tff(pred_def_254, type, iG601: (list(vEBT_VEBT) * nat * nat) > $o).
% 8.42/2.11  tff(pred_def_255, type, iG606: (nat * $o) > $o).
% 8.42/2.11  tff(pred_def_256, type, iG607: (nat * $o * $o) > $o).
% 8.42/2.11  tff(pred_def_257, type, iG609: (list(vEBT_VEBT) * nat * nat) > $o).
% 8.42/2.11  tff(pred_def_258, type, iG611: (list(vEBT_VEBT) * nat * nat) > $o).
% 8.42/2.11  tff(pred_def_259, type, iG613: (list(vEBT_VEBT) * nat * nat) > $o).
% 8.42/2.11  tff(pred_def_260, type, iG615: (list(vEBT_VEBT) * nat * nat) > $o).
% 8.42/2.11  tff(pred_def_261, type, iG617: (list(vEBT_VEBT) * nat * nat) > $o).
% 8.42/2.11  tff(pred_def_262, type, iG661: (nat * $o) > $o).
% 8.42/2.11  tff(pred_def_263, type, iG662: (nat * $o * $o) > $o).
% 8.42/2.11  tff(pred_def_264, type, iG664: (list(vEBT_VEBT) * nat * nat) > $o).
% 8.42/2.11  tff(pred_def_265, type, iG665: (nat * nat * nat * list(vEBT_VEBT)) > $o).
% 8.42/2.11  tff(pred_def_266, type, iG666: (nat * nat * nat * nat * list(vEBT_VEBT)) > $o).
% 8.42/2.11  tff(pred_def_267, type, iG667: (nat * nat * nat * nat * list(vEBT_VEBT)) > $o).
% 8.42/2.11  tff(pred_def_268, type, iG668: (nat * nat * nat * nat * list(vEBT_VEBT)) > $o).
% 8.42/2.11  tff(pred_def_269, type, iG673: (nat * $o) > $o).
% 8.42/2.11  tff(pred_def_270, type, iG674: (nat * $o * $o) > $o).
% 8.42/2.11  tff(pred_def_271, type, iG676: (list(vEBT_VEBT) * nat * nat) > $o).
% 8.42/2.11  tff(pred_def_272, type, iG677: (nat * nat * nat * list(vEBT_VEBT)) > $o).
% 8.42/2.11  tff(pred_def_273, type, iG678: (nat * nat * nat * nat * list(vEBT_VEBT)) > $o).
% 8.42/2.11  tff(pred_def_274, type, iG679: (nat * nat * nat * nat * list(vEBT_VEBT)) > $o).
% 8.42/2.11  tff(pred_def_275, type, iG680: (nat * nat * nat * nat * list(vEBT_VEBT)) > $o).
% 8.42/2.11  tff(pred_def_276, type, iG683: (nat * $o) > $o).
% 8.42/2.11  tff(pred_def_277, type, iG684: (nat * $o * $o) > $o).
% 8.42/2.11  tff(pred_def_278, type, iG686: (list(vEBT_VEBT) * nat * nat) > $o).
% 8.42/2.11  tff(pred_def_279, type, iG687: (nat * nat * nat * list(vEBT_VEBT)) > $o).
% 8.42/2.11  tff(pred_def_280, type, iG688: (nat * nat * nat * nat * list(vEBT_VEBT)) > $o).
% 8.42/2.11  tff(pred_def_281, type, iG689: (nat * nat * nat * nat * list(vEBT_VEBT)) > $o).
% 8.42/2.11  tff(pred_def_282, type, iG690: (nat * nat * nat * nat * list(vEBT_VEBT)) > $o).
% 8.42/2.11  tff(pred_def_283, type, iG695: (nat * $o) > $o).
% 8.42/2.11  tff(pred_def_284, type, iG696: (nat * $o * $o) > $o).
% 8.42/2.11  tff(pred_def_285, type, iG698: (list(vEBT_VEBT) * nat * nat) > $o).
% 8.42/2.11  tff(pred_def_286, type, iG699: (nat * nat * nat * list(vEBT_VEBT)) > $o).
% 8.42/2.11  tff(pred_def_287, type, iG700: (nat * nat * nat * nat * list(vEBT_VEBT)) > $o).
% 8.42/2.11  tff(pred_def_288, type, iG701: (nat * nat * nat * nat * list(vEBT_VEBT)) > $o).
% 8.42/2.11  tff(pred_def_289, type, iG702: (nat * nat * nat * nat * list(vEBT_VEBT)) > $o).
% 8.42/2.11  tff(pred_def_290, type, iG711: (int * nat) > $o).
% 8.42/2.11  tff(pred_def_291, type, iG712: (int * nat) > $o).
% 8.42/2.11  tff(pred_def_292, type, iG713: (int * nat) > $o).
% 8.42/2.11  tff(pred_def_293, type, iG855: (nat * $o) > $o).
% 8.42/2.11  tff(pred_def_294, type, iG856: (nat * $o * $o) > $o).
% 8.42/2.11  tff(pred_def_295, type, iG858: (list(vEBT_VEBT) * nat * nat) > $o).
% 8.42/2.11  tff(pred_def_296, type, iG873: (list(vEBT_VEBT) * nat * nat) > $o).
% 8.42/2.11  tff(pred_def_297, type, iG875: (list(vEBT_VEBT) * nat * nat) > $o).
% 8.42/2.11  tff(pred_def_298, type, iG881: (list(vEBT_VEBT) * nat * nat) > $o).
% 8.42/2.11  tff(pred_def_299, type, iG887: (nat * $o) > $o).
% 8.42/2.11  tff(pred_def_300, type, iG888: (nat * $o * $o) > $o).
% 8.42/2.11  tff(pred_def_301, type, iG890: (list(vEBT_VEBT) * nat * nat) > $o).
% 8.42/2.11  tff(pred_def_302, type, iG891: (nat * nat * nat * list(vEBT_VEBT)) > $o).
% 8.42/2.11  tff(pred_def_303, type, iG892: (nat * nat * nat * nat * list(vEBT_VEBT)) > $o).
% 8.42/2.11  tff(pred_def_304, type, iG893: (nat * nat * nat * nat * list(vEBT_VEBT)) > $o).
% 8.42/2.11  tff(pred_def_305, type, iG894: (nat * nat * nat * nat * list(vEBT_VEBT)) > $o).
% 8.42/2.11  tff(pred_def_306, type, iG915: (nat * $o) > $o).
% 8.42/2.11  tff(pred_def_307, type, iG916: (nat * $o * $o) > $o).
% 8.42/2.11  tff(pred_def_308, type, iG960: (list(vEBT_VEBT) * nat * nat) > $o).
% 8.42/2.11  tff(pred_def_309, type, iG961: (int * int * int) > $o).
% 8.42/2.11  tff(pred_def_310, type, iG962: (int * int * int) > $o).
% 8.42/2.11  tff(pred_def_311, type, iG963: !>[X0: $tType]:((list(list(X0)) * list(X0) * list(X0)) > $o)).
% 8.42/2.11  tff(pred_def_312, type, iG1000: (list(vEBT_VEBT) * nat * nat) > $o).
% 8.42/2.11  tff(pred_def_313, type, iG1042: (list(vEBT_VEBT) * nat * nat) > $o).
% 8.42/2.11  tff(pred_def_314, type, iG1050: (real * real * real) > $o).
% 8.42/2.11  tff(pred_def_315, type, iG1051: (nat * nat * list(vEBT_VEBT) * nat * nat) > $o).
% 8.42/2.11  tff(pred_def_316, type, sP1078: (nat * nat * list(vEBT_VEBT) * nat * nat) > $o).
% 8.42/2.11  tff(pred_def_317, type, sP1079: (nat * nat * list(vEBT_VEBT) * nat * nat) > $o).
% 8.42/2.11  tff(pred_def_318, type, sP1080: vEBT_VEBT > $o).
% 8.42/2.11  tff(pred_def_319, type, sP1081: !>[X0: $tType]:((real * X0) > $o)).
% 8.42/2.11  tff(pred_def_320, type, sP1082: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_321, type, sP1083: !>[X0: $tType]:((real * X0) > $o)).
% 8.42/2.11  tff(pred_def_322, type, sP1084: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_323, type, sP1085: !>[X0: $tType]:((X0 * X0 * real) > $o)).
% 8.42/2.11  tff(pred_def_324, type, sP1086: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_325, type, sP1087: !>[X0: $tType]:((fun(nat,X0)) > $o)).
% 8.42/2.11  tff(pred_def_326, type, sP1088: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_327, type, sP1089: !>[X0: $tType]:((fun(nat,X0)) > $o)).
% 8.42/2.11  tff(pred_def_328, type, sP1090: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_329, type, sP1091: !>[X0: $tType]:((X0 * fun(nat,X0)) > $o)).
% 8.42/2.11  tff(pred_def_330, type, sP1092: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_331, type, sP1093: !>[X0: $tType]:((fun(X0,$o) * X0 * set(X0)) > $o)).
% 8.42/2.11  tff(pred_def_332, type, sP1094: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_333, type, sP1095: !>[X0: $tType]:((X0 * X0) > $o)).
% 8.42/2.11  tff(pred_def_334, type, sP1096: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_335, type, sP1097: !>[X0: $tType]:((X0 * X0) > $o)).
% 8.42/2.11  tff(pred_def_336, type, sP1098: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_337, type, sP1099: !>[X0: $tType]:((X0 * X0) > $o)).
% 8.42/2.11  tff(pred_def_338, type, sP1100: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_339, type, sP1101: !>[X0: $tType]:((X0 * X0) > $o)).
% 8.42/2.11  tff(pred_def_340, type, sP1102: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_341, type, sP1103: !>[X0: $tType]:((X0 * X0) > $o)).
% 8.42/2.11  tff(pred_def_342, type, sP1104: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_343, type, sP1105: !>[X0: $tType]:((X0 * X0) > $o)).
% 8.42/2.11  tff(pred_def_344, type, sP1106: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_345, type, sP1107: !>[X0: $tType]:((X0 * X0) > $o)).
% 8.42/2.11  tff(pred_def_346, type, sP1108: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_347, type, sP1109: !>[X0: $tType]:((X0 * X0) > $o)).
% 8.42/2.11  tff(pred_def_348, type, sP1110: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_349, type, sP1111: !>[X0: $tType]:((X0 * X0) > $o)).
% 8.42/2.11  tff(pred_def_350, type, sP1112: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_351, type, sP1113: !>[X0: $tType]:((X0 * X0) > $o)).
% 8.42/2.11  tff(pred_def_352, type, sP1114: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_353, type, sP1115: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 8.42/2.11  tff(pred_def_354, type, sP1116: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_355, type, sP1117: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 8.42/2.11  tff(pred_def_356, type, sP1118: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_357, type, sP1119: !>[X0: $tType]:((fun(nat,X0)) > $o)).
% 8.42/2.11  tff(pred_def_358, type, sP1120: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_359, type, sP1121: !>[X0: $tType]:((fun(X0,$o)) > $o)).
% 8.42/2.11  tff(pred_def_360, type, sP1122: !>[X0: $tType]:((X0 * X0) > $o)).
% 8.42/2.11  tff(pred_def_361, type, sP1123: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_362, type, sP1124: !>[X0: $tType]:((nat * X0 * X0) > $o)).
% 8.42/2.11  tff(pred_def_363, type, sP1125: !>[X0: $tType]:((nat * nat * X0) > $o)).
% 8.42/2.11  tff(pred_def_364, type, sP1126: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_365, type, sP1127: !>[X0: $tType]:((X0 * X0) > $o)).
% 8.42/2.11  tff(pred_def_366, type, sP1128: !>[X0: $tType]:((X0 * X0) > $o)).
% 8.42/2.11  tff(pred_def_367, type, sP1129: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_368, type, sP1130: !>[X0: $tType]:((X0 * X0) > $o)).
% 8.42/2.11  tff(pred_def_369, type, sP1131: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_370, type, sP1132: !>[X0: $tType]:((X0 * X0) > $o)).
% 8.42/2.11  tff(pred_def_371, type, sP1133: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_372, type, sP1134: !>[X0: $tType]:((X0 * X0) > $o)).
% 8.42/2.11  tff(pred_def_373, type, sP1135: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_374, type, sP1136: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 8.42/2.11  tff(pred_def_375, type, sP1137: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_376, type, sP1138: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 8.42/2.11  tff(pred_def_377, type, sP1139: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_378, type, sP1140: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 8.42/2.11  tff(pred_def_379, type, sP1141: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_380, type, sP1142: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 8.42/2.11  tff(pred_def_381, type, sP1143: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_382, type, sP1144: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 8.42/2.11  tff(pred_def_383, type, sP1145: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_384, type, sP1146: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 8.42/2.11  tff(pred_def_385, type, sP1147: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_386, type, sP1148: !>[X0: $tType]:((fun(real,X0) * real * real) > $o)).
% 8.42/2.11  tff(pred_def_387, type, sP1149: !>[X0: $tType]:((fun(real,X0) * real * real) > $o)).
% 8.42/2.11  tff(pred_def_388, type, sP1150: !>[X0: $tType]:((fun(real,X0) * real * real) > $o)).
% 8.42/2.11  tff(pred_def_389, type, sP1151: !>[X0: $tType]:((fun(X0,$o) * X0) > $o)).
% 8.42/2.11  tff(pred_def_390, type, sP1152: !>[X0: $tType]:((X0 * fun(X0,$o)) > $o)).
% 8.42/2.11  tff(pred_def_391, type, sP1153: !>[X0: $tType]:((fun(X0,$o) * X0) > $o)).
% 8.42/2.11  tff(pred_def_392, type, sP1154: !>[X0: $tType]:((X0 * fun(X0,$o)) > $o)).
% 8.42/2.11  tff(pred_def_393, type, sP1155: !>[X0: $tType]:((X0 * X0) > $o)).
% 8.42/2.11  tff(pred_def_394, type, sP1156: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_395, type, sP1157: !>[X0: $tType]:((X0 * X0) > $o)).
% 8.42/2.11  tff(pred_def_396, type, sP1158: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_397, type, sP1159: !>[X0: $tType]:((X0 * X0) > $o)).
% 8.42/2.11  tff(pred_def_398, type, sP1160: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_399, type, sP1161: !>[X0: $tType]:((X0 * X0) > $o)).
% 8.42/2.11  tff(pred_def_400, type, sP1162: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_401, type, sP1163: !>[X0: $tType]:((X0 * X0) > $o)).
% 8.42/2.11  tff(pred_def_402, type, sP1164: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_403, type, sP1165: !>[X0: $tType]:((X0 * X0) > $o)).
% 8.42/2.11  tff(pred_def_404, type, sP1166: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_405, type, sP1167: !>[X0: $tType]:((X0 * X0) > $o)).
% 8.42/2.11  tff(pred_def_406, type, sP1168: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_407, type, sP1169: !>[X0: $tType]:((X0 * X0) > $o)).
% 8.42/2.11  tff(pred_def_408, type, sP1170: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_409, type, sP1171: !>[X0: $tType]:((X0 * nat) > $o)).
% 8.42/2.11  tff(pred_def_410, type, sP1172: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_411, type, sP1173: !>[X0: $tType]:((X0 * nat) > $o)).
% 8.42/2.11  tff(pred_def_412, type, sP1174: !>[X0: $tType]:((X0 * num) > $o)).
% 8.42/2.11  tff(pred_def_413, type, sP1175: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_414, type, sP1176: !>[X0: $tType]:((X0 * num) > $o)).
% 8.42/2.11  tff(pred_def_415, type, sP1177: !>[X0: $tType]:((fun(nat,X0) * nat) > $o)).
% 8.42/2.11  tff(pred_def_416, type, sP1178: !>[X0: $tType]:((set(X0)) > $o)).
% 8.42/2.11  tff(pred_def_417, type, sP1179: !>[X0: $tType]:((X0 * fun(X0,$o) * X0) > $o)).
% 8.42/2.11  tff(pred_def_418, type, sP1180: !>[X0: $tType]:((fun(X0,$o) * X0) > $o)).
% 8.42/2.11  tff(pred_def_419, type, sP1181: !>[X0: $tType]:((list(X0)) > $o)).
% 8.42/2.11  tff(pred_def_420, type, sP1182: !>[X0: $tType]:((X0 * X0) > $o)).
% 8.42/2.11  tff(pred_def_421, type, sP1183: !>[X0: $tType]:((X0 * X0) > $o)).
% 8.42/2.11  tff(pred_def_422, type, sP1184: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_423, type, sP1185: !>[X0: $tType]:((set(X0) * set(set(X0))) > $o)).
% 8.42/2.11  tff(pred_def_424, type, sP1186: !>[X0: $tType]:((set(X0)) > $o)).
% 8.42/2.11  tff(pred_def_425, type, sP1187: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_426, type, sP1188: !>[X0: $tType]:((set(X0)) > $o)).
% 8.42/2.11  tff(pred_def_427, type, sP1189: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_428, type, sP1190: !>[X0: $tType]:((set(X0) * set(set(X0))) > $o)).
% 8.42/2.11  tff(pred_def_429, type, sP1191: !>[X0: $tType]:((fun(nat,X0) * X0) > $o)).
% 8.42/2.11  tff(pred_def_430, type, sP1192: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_431, type, sP1193: !>[X0: $tType]:((fun(X0,real) * set(X0)) > $o)).
% 8.42/2.11  tff(pred_def_432, type, sP1194: !>[X0: $tType]:((fun(X0,$o) * $o) > $o)).
% 8.42/2.11  tff(pred_def_433, type, sP1195: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_434, type, sP1196: !>[X0: $tType]:((fun(X0,$o) * $o) > $o)).
% 8.42/2.11  tff(pred_def_435, type, sP1197: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_436, type, sP1198: !>[X0: $tType]:((list(X0) * list(X0)) > $o)).
% 8.42/2.11  tff(pred_def_437, type, sP1199: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_438, type, sP1200: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 8.42/2.11  tff(pred_def_439, type, sP1201: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 8.42/2.11  tff(pred_def_440, type, sP1202: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 8.42/2.11  tff(pred_def_441, type, sP1203: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 8.42/2.11  tff(pred_def_442, type, sP1204: !>[X0: $tType]:((fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o)) > $o)).
% 8.42/2.11  tff(pred_def_443, type, sP1205: !>[X0: $tType]:((fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o)) > $o)).
% 8.42/2.11  tff(pred_def_444, type, sP1206: !>[X0: $tType]:((fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o)) > $o)).
% 8.42/2.11  tff(pred_def_445, type, sP1207: !>[X0: $tType]:((fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o)) > $o)).
% 8.42/2.11  tff(pred_def_446, type, sP1208: !>[X0: $tType]:((X0 * X0 * X0 * X0) > $o)).
% 8.42/2.11  tff(pred_def_447, type, sP1209: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_448, type, sP1210: !>[X0: $tType]:((X0 * X0 * X0 * X0) > $o)).
% 8.42/2.11  tff(pred_def_449, type, sP1211: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_450, type, sP1212: !>[X0: $tType]:((fun(list(X0),fun(list(X0),$o)) * list(X0) * list(X0)) > $o)).
% 8.42/2.11  tff(pred_def_451, type, sP1213: !>[X0: $tType]:((list(X0) * list(X0)) > $o)).
% 8.42/2.11  tff(pred_def_452, type, sP1214: !>[X0: $tType]:((list(X0) * list(X0) * fun(list(X0),fun(list(X0),$o))) > $o)).
% 8.42/2.11  tff(pred_def_453, type, sP1215: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_454, type, sP1216: !>[X0: $tType]:((X0 * X0 * X0 * X0) > $o)).
% 8.42/2.11  tff(pred_def_455, type, sP1217: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_456, type, sP1218: !>[X0: $tType]:((fun(nat,X0)) > $o)).
% 8.42/2.11  tff(pred_def_457, type, sP1219: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_458, type, sP1220: !>[X0: $tType]:((fun(X0,$o) * fun(X0,$o)) > $o)).
% 8.42/2.11  tff(pred_def_459, type, sP1221: !>[X0: $tType]:((X0 * X0 * X0 * X0) > $o)).
% 8.42/2.11  tff(pred_def_460, type, sP1222: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_461, type, sP1223: !>[X0: $tType]:((fun(X0,$o) * X0 * X0) > $o)).
% 8.42/2.11  tff(pred_def_462, type, sP1224: !>[X0: $tType]:((fun(X0,$o) * X0 * X0) > $o)).
% 8.42/2.11  tff(pred_def_463, type, sP1225: !>[X0: $tType]:((fun(X0,$o) * X0) > $o)).
% 8.42/2.11  tff(pred_def_464, type, sP1226: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_465, type, sP1227: !>[X0: $tType]:((fun(X0,$o) * X0) > $o)).
% 8.42/2.11  tff(pred_def_466, type, sP1228: !>[X0: $tType]:($o)).
% 8.42/2.11  tff(pred_def_467, type, sP1229: set(real) > $o).
% 8.42/2.11  tff(pred_def_468, type, sP1230: real > $o).
% 8.42/2.11  tff(pred_def_469, type, sP1231: real > $o).
% 8.42/2.11  tff(pred_def_470, type, sP1232: !>[X0: $tType, X1: $tType]:((filter(X0) * fun(X0,X1) * X1) > $o)).
% 8.42/2.11  tff(pred_def_471, type, sP1233: !>[X0: $tType, X1: $tType]:($o)).
% 8.42/2.11  tff(pred_def_472, type, sP1234: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1)) > $o)).
% 8.42/2.11  tff(pred_def_473, type, sP1235: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,X0) * set(X1)) > $o)).
% 8.42/2.11  tff(pred_def_474, type, sP1236: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,X0) * set(X1)) > $o)).
% 8.42/2.11  tff(pred_def_475, type, sP1237: !>[X0: $tType, X1: $tType]:((fun(X1,set(X0)) * set(X0) * set(X1)) > $o)).
% 8.42/2.11  tff(pred_def_476, type, sP1238: !>[X0: $tType, X1: $tType]:((fun(X0,$o) * X1 * set(X1) * fun(X0,X1)) > $o)).
% 8.42/2.11  tff(pred_def_477, type, sP1239: !>[X0: $tType, X1: $tType]:($o)).
% 8.42/2.11  tff(pred_def_478, type, sP1240: !>[X0: $tType]:((set(set(X0))) > $o)).
% 8.42/2.11  tff(pred_def_479, type, sP1241: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * set(X1)) > $o)).
% 8.42/2.11  tff(pred_def_480, type, sP1242: !>[X0: $tType]:((fun(X0,fun(X0,$o))) > $o)).
% 8.42/2.11  tff(pred_def_481, type, sP1243: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * set(X1)) > $o)).
% 8.42/2.11  tff(pred_def_482, type, sP1244: !>[X0: $tType]:((set(set(X0))) > $o)).
% 8.42/2.11  tff(pred_def_483, type, sP1245: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * set(X1)) > $o)).
% 8.42/2.11  tff(pred_def_484, type, sP1246: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * set(set(X0))) > $o)).
% 8.42/2.11  tff(pred_def_485, type, sP1247: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * set(X1)) > $o)).
% 8.42/2.11  tff(pred_def_486, type, sP1248: !>[X0: $tType]:((fun(X0,fun(X0,$o))) > $o)).
% 8.42/2.11  tff(pred_def_487, type, sP1249: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * set(X1)) > $o)).
% 8.42/2.11  tff(pred_def_488, type, sP1250: (nat * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_489, type, sP1251: (nat * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_490, type, sP1252: (nat * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_491, type, sP1253: (nat * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_492, type, sP1254: (nat * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_493, type, sP1255: (nat * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_494, type, sP1256: (nat * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_495, type, sP1257: (nat * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_496, type, sP1258: (nat * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_497, type, sP1259: (nat * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_498, type, sP1260: (nat * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_499, type, sP1261: (nat * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_500, type, sP1262: (nat * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_501, type, sP1263: (nat * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_502, type, sP1264: (nat * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_503, type, sP1265: (nat * nat * nat * list(vEBT_VEBT) * nat) > $o).
% 8.42/2.11  tff(pred_def_504, type, sP1266: (vEBT_VEBT * list(vEBT_VEBT) * nat) > $o).
% 8.42/2.11  tff(pred_def_505, type, sP1267: (nat * nat * nat * list(vEBT_VEBT) * nat) > $o).
% 8.42/2.11  tff(pred_def_506, type, sP1268: (vEBT_VEBT * list(vEBT_VEBT) * nat) > $o).
% 8.42/2.11  tff(pred_def_507, type, sP1269: (nat * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_508, type, sP1270: (nat * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_509, type, sP1271: (nat * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_510, type, sP1272: (nat * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_511, type, sP1273: (nat * list(nat)) > $o).
% 8.42/2.11  tff(pred_def_512, type, sP1274: (vEBT_VEBT * nat) > $o).
% 8.42/2.11  tff(pred_def_513, type, sP1275: (vEBT_VEBT * nat) > $o).
% 8.42/2.11  tff(pred_def_514, type, sP1276: (vEBT_VEBT * nat) > $o).
% 8.42/2.11  tff(pred_def_515, type, sP1277: !>[X0: $tType]:((list(list(X0))) > $o)).
% 8.42/2.11  tff(pred_def_516, type, sP1278: (option(nat) * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_517, type, sP1279: (option(nat) * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_518, type, sP1280: (option(nat) * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_519, type, sP1281: (option(nat) * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_520, type, sP1282: (option(nat) * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_521, type, sP1283: (option(nat) * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_522, type, sP1284: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,X0) * X1 * X1) > $o)).
% 8.42/2.11  tff(pred_def_523, type, sP1285: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,X0) * X1 * X1) > $o)).
% 8.42/2.11  tff(pred_def_524, type, sP1286: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,X0) * X1) > $o)).
% 8.42/2.11  tff(pred_def_525, type, sP1287: !>[X0: $tType, X1: $tType]:($o)).
% 8.42/2.11  tff(pred_def_526, type, sP1288: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * X0 * fun(X0,X1) * set(X0)) > $o)).
% 8.42/2.11  tff(pred_def_527, type, sP1289: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * X1 * fun(X1,X0)) > $o)).
% 8.42/2.11  tff(pred_def_528, type, sP1290: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * X0 * X0) > $o)).
% 8.42/2.11  tff(pred_def_529, type, sP1291: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * X0 * X0) > $o)).
% 8.42/2.11  tff(pred_def_530, type, sP1292: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X1,$o)) > $o)).
% 8.42/2.11  tff(pred_def_531, type, sP1293: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X0,X1) * fun(X1,$o)) > $o)).
% 8.42/2.11  tff(pred_def_532, type, sP1294: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X1,$o)) > $o)).
% 8.42/2.11  tff(pred_def_533, type, sP1295: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X0,X1) * fun(X1,$o)) > $o)).
% 8.42/2.11  tff(pred_def_534, type, sP1296: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X1,$o)) > $o)).
% 8.42/2.11  tff(pred_def_535, type, sP1297: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1)) > $o)).
% 8.42/2.11  tff(pred_def_536, type, sP1298: !>[X0: $tType, X1: $tType]:($o)).
% 8.42/2.11  tff(pred_def_537, type, sP1299: ($o * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_538, type, sP1300: ($o * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_539, type, sP1301: ($o * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_540, type, sP1302: ($o * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_541, type, sP1303: ($o * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_542, type, sP1304: ($o * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_543, type, sP1305: ($o * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_544, type, sP1306: ($o * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_545, type, sP1307: ($o * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_546, type, sP1308: (nat * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_547, type, sP1309: (nat * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_548, type, sP1310: (nat * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_549, type, sP1311: fun(real,$o) > $o).
% 8.42/2.11  tff(pred_def_550, type, sP1312: fun(int,$o) > $o).
% 8.42/2.11  tff(pred_def_551, type, sP1313: fun(nat,$o) > $o).
% 8.42/2.11  tff(pred_def_552, type, sP1314: (nat * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_553, type, sP1315: (nat * nat * nat * nat * list(vEBT_VEBT)) > $o).
% 8.42/2.11  tff(pred_def_554, type, sP1316: (list(vEBT_VEBT) * nat * nat * nat) > $o).
% 8.42/2.11  tff(pred_def_555, type, sP1317: (vEBT_VEBT * list(vEBT_VEBT) * nat) > $o).
% 8.42/2.11  tff(pred_def_556, type, sP1318: (list(vEBT_VEBT) * nat * nat) > $o).
% 8.42/2.11  tff(pred_def_557, type, sP1319: (nat * nat * nat * nat * list(vEBT_VEBT)) > $o).
% 8.42/2.11  tff(pred_def_558, type, sP1320: (list(vEBT_VEBT) * nat * nat * nat) > $o).
% 8.42/2.11  tff(pred_def_559, type, sP1321: (vEBT_VEBT * list(vEBT_VEBT) * nat) > $o).
% 8.42/2.11  tff(pred_def_560, type, sP1322: (list(vEBT_VEBT) * nat * nat) > $o).
% 8.42/2.11  tff(pred_def_561, type, sP1323: (nat * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_562, type, sP1324: (nat * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_563, type, sP1325: (nat * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_564, type, sP1326: (nat * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_565, type, sP1327: (vEBT_VEBT * nat) > $o).
% 8.42/2.11  tff(pred_def_566, type, sP1328: !>[X0: $tType]:((list(list(X0))) > $o)).
% 8.42/2.11  tff(pred_def_567, type, sP1329: !>[X0: $tType]:((list(list(X0))) > $o)).
% 8.42/2.11  tff(pred_def_568, type, sP1330: (int * int) > $o).
% 8.42/2.11  tff(pred_def_569, type, sP1331: (int * int) > $o).
% 8.42/2.11  tff(pred_def_570, type, sP1332: (int * int) > $o).
% 8.42/2.11  tff(pred_def_571, type, sP1333: !>[X0: $tType]:((set(X0)) > $o)).
% 8.42/2.11  tff(pred_def_572, type, sP1334: (nat * nat) > $o).
% 8.42/2.11  tff(pred_def_573, type, sP1335: (nat * nat) > $o).
% 8.42/2.11  tff(pred_def_574, type, sP1336: (fun(nat,$o) * nat) > $o).
% 8.42/2.11  tff(pred_def_575, type, sP1337: (fun(nat,$o) * nat) > $o).
% 8.42/2.11  tff(pred_def_576, type, sP1338: (fun(nat,$o) * nat) > $o).
% 8.42/2.11  tff(pred_def_577, type, sP1339: (fun(nat,$o) * nat) > $o).
% 8.42/2.11  tff(pred_def_578, type, sP1340: (int * int) > $o).
% 8.42/2.11  tff(pred_def_579, type, sP1341: (int * int) > $o).
% 8.42/2.11  tff(pred_def_580, type, sP1342: !>[X0: $tType, X1: $tType]:((fun(X1,set(X0)) * set(X1)) > $o)).
% 8.42/2.11  tff(pred_def_581, type, sP1343: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X0,X1) * set(X1) * set(X1)) > $o)).
% 8.42/2.11  tff(pred_def_582, type, sP1344: !>[X0: $tType, X1: $tType]:((set(X0) * set(X0) * fun(X1,X0) * set(X1) * set(X1)) > $o)).
% 8.42/2.11  tff(pred_def_583, type, sP1345: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X0,X1) * set(X1) * set(X1)) > $o)).
% 8.42/2.11  tff(pred_def_584, type, sP1346: !>[X0: $tType, X1: $tType]:((set(X0) * set(X0) * fun(X1,X0) * set(X1) * set(X1)) > $o)).
% 8.42/2.11  tff(pred_def_585, type, sP1347: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1)) > $o)).
% 8.42/2.11  tff(pred_def_586, type, sP1348: !>[X0: $tType, X1: $tType]:((fun(X1,set(X0)) * set(X1)) > $o)).
% 8.42/2.11  tff(pred_def_587, type, sP1349: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X1,X0) * fun(X0,X2) * set(X1)) > $o)).
% 8.42/2.11  tff(pred_def_588, type, sP1350: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X0,X1) * set(X1) * set(X1)) > $o)).
% 8.42/2.11  tff(pred_def_589, type, sP1351: !>[X0: $tType, X1: $tType]:((set(X0) * set(X0) * fun(X1,X0) * set(X1) * set(X1)) > $o)).
% 8.42/2.11  tff(pred_def_590, type, sP1352: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X0,X1) * set(X1) * set(X1)) > $o)).
% 8.42/2.11  tff(pred_def_591, type, sP1353: !>[X0: $tType, X1: $tType]:((set(X0) * set(X0) * fun(X1,X0) * set(X1) * set(X1)) > $o)).
% 8.42/2.11  tff(pred_def_592, type, sP1354: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1)) > $o)).
% 8.42/2.11  tff(pred_def_593, type, sP1355: !>[X0: $tType]:((fun(set(X0),$o)) > $o)).
% 8.42/2.11  tff(pred_def_594, type, sP1356: !>[X0: $tType]:((fun(X0,fun(X0,$o))) > $o)).
% 8.42/2.11  tff(pred_def_595, type, sP1357: !>[X0: $tType]:((fun(set(X0),$o) * set(X0)) > $o)).
% 8.42/2.11  tff(pred_def_596, type, sP1358: !>[X0: $tType]:((fun(X0,nat) * set(X0)) > $o)).
% 8.42/2.11  tff(pred_def_597, type, sP1359: !>[X0: $tType]:((set(X0) * fun(X0,nat)) > $o)).
% 8.42/2.11  tff(pred_def_598, type, sP1360: !>[X0: $tType]:((set(set(X0))) > $o)).
% 8.42/2.11  tff(pred_def_599, type, sP1361: (int * int * product_prod(int,int)) > $o).
% 8.42/2.11  tff(pred_def_600, type, sP1362: (int * int * product_prod(int,int)) > $o).
% 8.42/2.11  tff(pred_def_601, type, sP1363: !>[X0: $tType]:((fun(X0,fun(X0,$o)) * list(X0)) > $o)).
% 8.42/2.11  tff(pred_def_602, type, sP1364: (vEBT_VEBT * nat * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_603, type, sP1365: (vEBT_VEBT * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_604, type, sP1366: (vEBT_VEBT * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_605, type, sP1367: (nat * vEBT_VEBT * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_606, type, sP1368: (nat * vEBT_VEBT * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_607, type, sP1369: (nat * vEBT_VEBT * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_608, type, sP1370: (nat * vEBT_VEBT * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_609, type, sP1371: (num * num * num) > $o).
% 8.42/2.11  tff(pred_def_610, type, sP1372: (num * num * num) > $o).
% 8.42/2.11  tff(pred_def_611, type, sP1373: (num * num * num) > $o).
% 8.42/2.11  tff(pred_def_612, type, sP1374: (num * num * num) > $o).
% 8.42/2.11  tff(pred_def_613, type, sP1375: (num * num * num) > $o).
% 8.42/2.11  tff(pred_def_614, type, sP1376: (num * num * num) > $o).
% 8.42/2.11  tff(pred_def_615, type, sP1377: (num * num * num) > $o).
% 8.42/2.11  tff(pred_def_616, type, sP1378: (num * num * num) > $o).
% 8.42/2.11  tff(pred_def_617, type, sP1379: (num * num * num) > $o).
% 8.42/2.11  tff(pred_def_618, type, sP1380: (num * num * num) > $o).
% 8.42/2.11  tff(pred_def_619, type, sP1381: (num * num * num) > $o).
% 8.42/2.11  tff(pred_def_620, type, sP1382: (num * num * num) > $o).
% 8.42/2.11  tff(pred_def_621, type, sP1383: (num * num * num) > $o).
% 8.42/2.11  tff(pred_def_622, type, sP1384: (num * num * num) > $o).
% 8.42/2.11  tff(pred_def_623, type, sP1385: (num * num * num) > $o).
% 8.42/2.11  tff(pred_def_624, type, sP1386: (num * num * num) > $o).
% 8.42/2.11  tff(pred_def_625, type, sP1387: (option(nat) * nat * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_626, type, sP1388: (option(nat) * nat * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_627, type, sP1389: (option(nat) * nat * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_628, type, sP1390: (option(nat) * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_629, type, sP1391: (option(nat) * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_630, type, sP1392: (option(nat) * nat * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_631, type, sP1393: (option(nat) * nat * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_632, type, sP1394: (option(nat) * nat * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_633, type, sP1395: (nat * option(nat) * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_634, type, sP1396: (nat * option(nat) * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_635, type, sP1397: (nat * option(nat) * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_636, type, sP1398: (option(num) * num * num) > $o).
% 8.42/2.11  tff(pred_def_637, type, sP1399: (option(num) * num * num) > $o).
% 8.42/2.11  tff(pred_def_638, type, sP1400: (option(num) * num * num) > $o).
% 8.42/2.11  tff(pred_def_639, type, sP1401: (option(num) * num * num) > $o).
% 8.42/2.11  tff(pred_def_640, type, sP1402: (option(num) * num * num) > $o).
% 8.42/2.11  tff(pred_def_641, type, sP1403: (option(num) * num * num) > $o).
% 8.42/2.11  tff(pred_def_642, type, sP1404: (option(num) * num * num) > $o).
% 8.42/2.11  tff(pred_def_643, type, sP1405: (option(num) * num * num) > $o).
% 8.42/2.11  tff(pred_def_644, type, sP1406: !>[X0: $tType]:((list(X0) * list(X0)) > $o)).
% 8.42/2.11  tff(pred_def_645, type, sP1407: !>[X0: $tType]:((list(X0) * list(X0)) > $o)).
% 8.42/2.11  tff(pred_def_646, type, sP1408: !>[X0: $tType]:((list(X0) * list(X0)) > $o)).
% 8.42/2.11  tff(pred_def_647, type, sP1409: (option(num) * num * num) > $o).
% 8.42/2.11  tff(pred_def_648, type, sP1410: (option(num) * num * num) > $o).
% 8.42/2.11  tff(pred_def_649, type, sP1411: (option(num) * num * num) > $o).
% 8.42/2.11  tff(pred_def_650, type, sP1412: (option(num) * num * num) > $o).
% 8.42/2.11  tff(pred_def_651, type, sP1413: (option(num) * num * num) > $o).
% 8.42/2.11  tff(pred_def_652, type, sP1414: (option(num) * num * num) > $o).
% 8.42/2.11  tff(pred_def_653, type, sP1415: (option(num) * num * num) > $o).
% 8.42/2.11  tff(pred_def_654, type, sP1416: (option(num) * num * num) > $o).
% 8.42/2.11  tff(pred_def_655, type, sP1417: !>[X0: $tType]:((list(list(X0)) * list(list(X0))) > $o)).
% 8.42/2.11  tff(pred_def_656, type, sP1418: !>[X0: $tType]:((list(list(X0)) * list(list(X0))) > $o)).
% 8.42/2.11  tff(pred_def_657, type, sP1419: !>[X0: $tType]:((list(list(X0)) * list(list(X0))) > $o)).
% 8.42/2.11  tff(pred_def_658, type, sP1420: !>[X0: $tType]:((set(filter(X0))) > $o)).
% 8.42/2.11  tff(pred_def_659, type, sP1421: !>[X0: $tType]:((set(set(X0))) > $o)).
% 8.42/2.11  tff(pred_def_660, type, sP1422: (option(num) * num * num) > $o).
% 8.42/2.11  tff(pred_def_661, type, sP1423: (option(num) * num * num) > $o).
% 8.42/2.11  tff(pred_def_662, type, sP1424: (option(num) * num * num) > $o).
% 8.42/2.11  tff(pred_def_663, type, sP1425: (option(num) * num * num) > $o).
% 8.42/2.11  tff(pred_def_664, type, sP1426: (option(num) * num * num) > $o).
% 8.42/2.11  tff(pred_def_665, type, sP1427: (option(num) * num * num) > $o).
% 8.42/2.11  tff(pred_def_666, type, sP1428: (option(num) * num * num) > $o).
% 8.42/2.11  tff(pred_def_667, type, sP1429: (option(num) * num * num) > $o).
% 8.42/2.11  tff(pred_def_668, type, sP1430: (option(num) * num * num) > $o).
% 8.42/2.11  tff(pred_def_669, type, sP1431: (option(num) * num * num) > $o).
% 8.42/2.11  tff(pred_def_670, type, sP1432: (option(num) * num * num) > $o).
% 8.42/2.11  tff(pred_def_671, type, sP1433: (option(num) * num * num) > $o).
% 8.42/2.11  tff(pred_def_672, type, sP1434: (option(num) * num * num) > $o).
% 8.42/2.11  tff(pred_def_673, type, sP1435: (option(num) * num * num) > $o).
% 8.42/2.11  tff(pred_def_674, type, sP1436: (option(num) * num * num) > $o).
% 8.42/2.11  tff(pred_def_675, type, sP1437: (option(num) * num * num) > $o).
% 8.42/2.11  tff(pred_def_676, type, sP1438: (option(num) * num * num) > $o).
% 8.42/2.11  tff(pred_def_677, type, sP1439: (option(num) * num * num) > $o).
% 8.42/2.11  tff(pred_def_678, type, sP1440: (option(num) * num * num) > $o).
% 8.42/2.11  tff(pred_def_679, type, sP1441: (option(num) * num * num) > $o).
% 8.42/2.11  tff(pred_def_680, type, sP1442: (option(num) * num * num) > $o).
% 8.42/2.11  tff(pred_def_681, type, sP1443: (option(num) * num * num) > $o).
% 8.42/2.11  tff(pred_def_682, type, sP1444: (option(num) * num * num) > $o).
% 8.42/2.11  tff(pred_def_683, type, sP1445: (option(num) * num * num) > $o).
% 8.42/2.11  tff(pred_def_684, type, sP1446: (option(num) * num * num) > $o).
% 8.42/2.11  tff(pred_def_685, type, sP1447: (option(num) * num * num) > $o).
% 8.42/2.11  tff(pred_def_686, type, sP1448: (option(num) * num * num) > $o).
% 8.42/2.11  tff(pred_def_687, type, sP1449: (option(num) * num * num) > $o).
% 8.42/2.11  tff(pred_def_688, type, sP1450: (option(num) * num * num) > $o).
% 8.42/2.11  tff(pred_def_689, type, sP1451: (option(num) * num * num) > $o).
% 8.42/2.11  tff(pred_def_690, type, sP1452: (option(num) * num * num) > $o).
% 8.42/2.11  tff(pred_def_691, type, sP1453: (option(num) * num * num) > $o).
% 8.42/2.11  tff(pred_def_692, type, sP1454: (int * int * fun(int,$o)) > $o).
% 8.42/2.11  tff(pred_def_693, type, sP1455: (int * int * fun(int,$o)) > $o).
% 8.42/2.11  tff(pred_def_694, type, sP1456: (int * int * fun(int,$o)) > $o).
% 8.42/2.11  tff(pred_def_695, type, sP1457: (option(product_prod(nat,nat)) * nat * vEBT_VEBT * list(vEBT_VEBT) * nat) > $o).
% 8.42/2.11  tff(pred_def_696, type, sP1458: (nat * list(vEBT_VEBT) * vEBT_VEBT * nat * option(product_prod(nat,nat)) * $o) > $o).
% 8.42/2.11  tff(pred_def_697, type, sP1459: (nat * $o * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_698, type, sP1460: (option(product_prod(nat,nat)) * nat * vEBT_VEBT * list(vEBT_VEBT) * nat) > $o).
% 8.42/2.11  tff(pred_def_699, type, sP1461: (nat * list(vEBT_VEBT) * vEBT_VEBT * nat * option(product_prod(nat,nat)) * $o) > $o).
% 8.42/2.11  tff(pred_def_700, type, sP1462: (nat * $o * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_701, type, sP1463: (nat * $o * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_702, type, sP1464: (nat * $o * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_703, type, sP1465: (nat * $o * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_704, type, sP1466: (nat * $o * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_705, type, sP1467: (nat * $o * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_706, type, sP1468: (nat * $o * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_707, type, sP1469: (nat * nat * list(vEBT_VEBT) * nat * nat * $o) > $o).
% 8.42/2.11  tff(pred_def_708, type, sP1470: (nat * $o * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_709, type, sP1471: (nat * $o * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_710, type, sP1472: ($o * nat * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_711, type, sP1473: ($o * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_712, type, sP1474: (nat * nat * nat * $o) > $o).
% 8.42/2.11  tff(pred_def_713, type, sP1475: (nat * nat * list(vEBT_VEBT) * nat * nat * $o) > $o).
% 8.42/2.11  tff(pred_def_714, type, sP1476: (nat * $o * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_715, type, sP1477: (nat * $o * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_716, type, sP1478: (nat * $o * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_717, type, sP1479: (nat * $o * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_718, type, sP1480: (nat * $o * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_719, type, sP1481: !>[X0: $tType]:((option(X0) * option(X0)) > $o)).
% 8.42/2.11  tff(pred_def_720, type, sP1482: !>[X0: $tType]:((list(X0) * list(X0)) > $o)).
% 8.42/2.11  tff(pred_def_721, type, sP1483: (nat * $o * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_722, type, sP1484: (nat * $o * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_723, type, sP1485: ($o * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_724, type, sP1486: (nat * $o * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_725, type, sP1487: (nat * $o * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_726, type, sP1488: (nat * $o * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_727, type, sP1489: (nat * $o * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_728, type, sP1490: !>[X0: $tType]:((fun(set(X0),$o)) > $o)).
% 8.42/2.11  tff(pred_def_729, type, sP1491: (fun(nat,$o) * nat) > $o).
% 8.42/2.11  tff(pred_def_730, type, sP1492: !>[X0: $tType]:((nat * set(X0)) > $o)).
% 8.42/2.11  tff(pred_def_731, type, sP1493: !>[X0: $tType]:((fun(nat,set(X0)) * nat) > $o)).
% 8.42/2.11  tff(pred_def_732, type, sP1494: (fun(nat,nat) * nat) > $o).
% 8.42/2.11  tff(pred_def_733, type, sP1495: (fun(int,$o) * int) > $o).
% 8.42/2.11  tff(pred_def_734, type, sP1496: !>[X0: $tType]:((fun(set(X0),$o) * set(X0)) > $o)).
% 8.42/2.11  tff(pred_def_735, type, sP1497: (real * real * fun(real,real)) > $o).
% 8.42/2.11  tff(pred_def_736, type, sP1498: (fun(real,real) * real * real * real * real) > $o).
% 8.42/2.11  tff(pred_def_737, type, sP1499: (fun(real,real) * real * real) > $o).
% 8.42/2.11  tff(pred_def_738, type, sP1500: (fun(real,fun(real,$o)) * real) > $o).
% 8.42/2.11  tff(pred_def_739, type, sP1501: fun(real,fun(real,$o)) > $o).
% 8.42/2.11  tff(pred_def_740, type, sP1502: (fun(nat,$o) * nat) > $o).
% 8.42/2.11  tff(pred_def_741, type, sP1503: fun(nat,fun(nat,$o)) > $o).
% 8.42/2.11  tff(pred_def_742, type, sP1504: !>[X0: $tType]:((fun(list(list(X0)),$o)) > $o)).
% 8.42/2.11  tff(pred_def_743, type, sP1505: !>[X0: $tType]:((fun(list(list(X0)),$o)) > $o)).
% 8.42/2.11  tff(pred_def_744, type, sP1506: (fun(int,fun(int,$o)) * int * int) > $o).
% 8.42/2.11  tff(pred_def_745, type, sP1507: (int * int * fun(int,fun(int,$o))) > $o).
% 8.42/2.11  tff(pred_def_746, type, sP1508: (fun(int,fun(int,$o)) * int * int) > $o).
% 8.42/2.11  tff(pred_def_747, type, sP1509: (int * int * fun(int,fun(int,$o))) > $o).
% 8.42/2.11  tff(pred_def_748, type, sP1510: (real * nat * real) > $o).
% 8.42/2.11  tff(pred_def_749, type, sP1511: (real * nat * real) > $o).
% 8.42/2.11  tff(pred_def_750, type, sP1512: (nat * nat * set(nat)) > $o).
% 8.42/2.11  tff(pred_def_751, type, sP1513: (product_prod(int,int) * int * int) > $o).
% 8.42/2.11  tff(pred_def_752, type, sP1514: (product_prod(int,int) * int * int) > $o).
% 8.42/2.11  tff(pred_def_753, type, sP1515: (int * int * product_prod(int,int)) > $o).
% 8.42/2.11  tff(pred_def_754, type, sP1516: (nat * nat * vEBT_VEBT) > $o).
% 8.42/2.11  tff(pred_def_755, type, sP1517: !>[X0: $tType]:((fun(nat,nat) * list(X0)) > $o)).
% 8.42/2.11  tff(pred_def_756, type, sP1518: !>[X0: $tType]:((list(X0) * list(X0)) > $o)).
% 8.42/2.11  tff(pred_def_757, type, sP1519: !>[X0: $tType]:((nat * set(X0)) > $o)).
% 8.42/2.11  tff(pred_def_758, type, sP1520: (int * int * int) > $o).
% 8.42/2.11  tff(pred_def_759, type, sP1521: !>[X0: $tType]:((fun(nat,fun(X0,$o)) * nat) > $o)).
% 8.42/2.11  tff(pred_def_760, type, sP1522: !>[X0: $tType]:((fun(X0,$o) * list(X0)) > $o)).
% 8.42/2.11  tff(pred_def_761, type, sP1523: !>[X0: $tType]:((fun(X0,$o) * list(X0)) > $o)).
% 8.42/2.11  tff(pred_def_762, type, sP1524: !>[X0: $tType]:((fun(X0,$o) * list(X0)) > $o)).
% 8.42/2.11  tff(pred_def_763, type, sP1525: !>[X0: $tType]:((fun(X0,$o) * list(X0)) > $o)).
% 8.42/2.11  tff(pred_def_764, type, sP1526: (fun(int,$o) * int * int) > $o).
% 8.42/2.11  tff(pred_def_765, type, sP1527: (fun(int,$o) * int * int) > $o).
% 8.42/2.11  tff(pred_def_766, type, sP1528: (int * int * fun(int,$o)) > $o).
% 8.42/2.11  tff(pred_def_767, type, sP1529: (fun(int,$o) * int * int) > $o).
% 8.42/2.11  tff(pred_def_768, type, sP1530: (fun(int,$o) * int * int) > $o).
% 8.42/2.11  tff(pred_def_769, type, sP1531: (int * int * fun(int,$o)) > $o).
% 8.42/2.11  tff(pred_def_770, type, sP1532: (fun(nat,$o) * nat * nat) > $o).
% 8.42/2.11  tff(pred_def_771, type, sP1533: (fun(nat,$o) * nat * nat) > $o).
% 8.42/2.11  tff(pred_def_772, type, sP1534: (fun(nat,$o) * nat * nat) > $o).
% 8.42/2.11  tff(pred_def_773, type, sP1535: (fun(real,$o) * real * nat) > $o).
% 8.42/2.11  tff(pred_def_774, type, sP1536: (fun(nat,$o) * nat * nat) > $o).
% 8.42/2.11  tff(pred_def_775, type, sP1537: (fun(nat,$o) * nat * nat) > $o).
% 8.42/2.11  tff(pred_def_776, type, sP1538: (fun(int,$o) * nat * nat) > $o).
% 8.42/2.11  tff(pred_def_777, type, sP1539: ($o * int * $o * int) > $o).
% 8.42/2.11  tff(pred_def_778, type, sP1540: ($o * int * $o * int) > $o).
% 8.42/2.11  tff(pred_def_779, type, sP1541: !>[X0: $tType, X1: $tType]:((fun(X1,set(X0)) * set(X1)) > $o)).
% 8.42/2.11  tff(pred_def_780, type, sP1542: !>[X0: $tType]:((fun(set(X0),$o) * set(X0)) > $o)).
% 8.42/2.11  tff(pred_def_781, type, sP1543: !>[X0: $tType]:((fun(set(X0),$o) * set(X0)) > $o)).
% 8.42/2.11  tff(pred_def_782, type, sP1544: !>[X0: $tType]:((list(X0) * list(X0) * list(X0)) > $o)).
% 8.42/2.11  tff(pred_def_783, type, sP1545: !>[X0: $tType]:((set(list(X0)) * list(X0) * list(X0)) > $o)).
% 8.42/2.11  tff(pred_def_784, type, sP1546: !>[X0: $tType]:((set(list(X0)) * list(X0) * list(X0)) > $o)).
% 8.42/2.11  tff(pred_def_785, type, sP1547: !>[X0: $tType]:((list(X0) * set(list(X0)) * list(X0)) > $o)).
% 8.42/2.11  tff(pred_def_786, type, sP1548: !>[X0: $tType]:((list(X0) * list(X0) * list(X0)) > $o)).
% 8.42/2.11  tff(pred_def_787, type, sP1549: !>[X0: $tType]:((list(X0) * list(X0) * list(X0)) > $o)).
% 8.42/2.11  tff(pred_def_788, type, sP1550: (fun(nat,fun(real,real)) * real * nat) > $o).
% 8.42/2.11  tff(pred_def_789, type, sP1551: !>[X0: $tType]:((set(product_prod(X0,X0)) * set(X0) * set(X0)) > $o)).
% 8.42/2.11  tff(pred_def_790, type, sP1552: !>[X0: $tType]:((list(X0) * fun(X0,fun(X0,$o)) * X0 * $o) > $o)).
% 8.42/2.11  tff(pred_def_791, type, sP1553: !>[X0: $tType]:(($o * list(X0) * fun(X0,fun(X0,$o))) > $o)).
% 8.42/2.11  tff(pred_def_792, type, sP1554: !>[X0: $tType]:((list(X0) * fun(X0,fun(X0,$o)) * X0 * $o) > $o)).
% 8.42/2.11  tff(pred_def_793, type, sP1555: !>[X0: $tType]:((fun(X0,fun(X0,$o)) * $o * list(X0)) > $o)).
% 8.42/2.11  tff(pred_def_794, type, sP1556: !>[X0: $tType]:((fun(X0,fun(X0,$o)) * $o * list(X0)) > $o)).
% 8.42/2.11  tff(pred_def_795, type, sP1557: !>[X0: $tType, X1: $tType]:((fun(X1,filter(X0)) * set(X1)) > $o)).
% 8.42/2.11  tff(pred_def_796, type, sP1558: !>[X0: $tType]:((set(set(X0)) * X0 * set(X0)) > $o)).
% 8.42/2.11  tff(pred_def_797, type, sP1559: !>[X0: $tType]:((fun(X0,$o) * fun(X0,nat)) > $o)).
% 8.42/2.11  tff(pred_def_798, type, sP1560: (fun(nat,int) * nat * nat) > $o).
% 8.42/2.11  tff(pred_def_799, type, sP1561: (int * set(int) * int) > $o).
% 8.42/2.11  tff(pred_def_800, type, sP1562: (int * fun(int,$o) * set(int)) > $o).
% 8.42/2.11  tff(pred_def_801, type, sP1563: (int * fun(int,$o) * set(int)) > $o).
% 8.42/2.11  tff(pred_def_802, type, sP1564: (int * set(int) * int) > $o).
% 8.42/2.11  tff(pred_def_803, type, sP1565: (int * fun(int,$o) * set(int)) > $o).
% 8.42/2.11  tff(pred_def_804, type, sP1566: (int * fun(int,$o) * set(int)) > $o).
% 8.42/2.11  tff(pred_def_805, type, sP1567: (int * set(int) * int) > $o).
% 8.42/2.11  tff(pred_def_806, type, sP1568: (int * fun(int,$o) * set(int)) > $o).
% 8.42/2.11  tff(pred_def_807, type, sP1569: (int * fun(int,$o) * set(int)) > $o).
% 8.42/2.11  tff(pred_def_808, type, sP1570: (int * set(int) * int) > $o).
% 8.42/2.11  tff(pred_def_809, type, sP1571: (int * fun(int,$o) * set(int)) > $o).
% 8.42/2.11  tff(pred_def_810, type, sP1572: (int * fun(int,$o) * set(int)) > $o).
% 8.42/2.11  tff(pred_def_811, type, sP1573: (fun(real,fun(real,real)) * fun(real,real) * real * real) > $o).
% 8.42/2.11  tff(pred_def_812, type, sP1574: (real * fun(real,real) * real * fun(real,real)) > $o).
% 8.42/2.11  tff(pred_def_813, type, sP1575: (fun(real,real) * real * real) > $o).
% 8.42/2.11  tff(pred_def_814, type, sP1576: (fun(real,real) * real * real) > $o).
% 8.42/2.11  tff(pred_def_815, type, sP1577: (fun(real,real) * real * real) > $o).
% 8.42/2.11  tff(pred_def_816, type, sP1578: (fun(real,real) * fun(real,real) * real * real) > $o).
% 8.42/2.11  tff(pred_def_817, type, sP1579: (fun(int,$o) * set(int) * int) > $o).
% 8.42/2.11  tff(pred_def_818, type, sP1580: (int * set(int) * fun(int,$o) * fun(int,$o)) > $o).
% 8.42/2.11  tff(pred_def_819, type, sP1581: (int * fun(int,$o) * set(int)) > $o).
% 8.42/2.11  tff(pred_def_820, type, sP1582: (fun(int,$o) * set(int) * int) > $o).
% 8.42/2.11  tff(pred_def_821, type, sP1583: (int * set(int) * fun(int,$o) * fun(int,$o)) > $o).
% 8.42/2.11  tff(pred_def_822, type, sP1584: (int * fun(int,$o) * set(int)) > $o).
% 8.42/2.11  tff(pred_def_823, type, sP1585: (fun(nat,fun(real,real)) * real * nat) > $o).
% 8.42/2.11  tff(pred_def_824, type, sP1586: (fun(nat,fun(real,real)) * real * nat) > $o).
% 8.42/2.11  tff(pred_def_825, type, sP1587: (fun(nat,fun(real,real)) * real * nat) > $o).
% 8.42/2.11  tff(pred_def_826, type, sP1588: !>[X0: $tType]:((fun(list(X0),fun(list(X0),$o))) > $o)).
% 8.42/2.11  tff(pred_def_827, type, sP1589: !>[X0: $tType]:((fun(list(X0),fun(list(X0),$o))) > $o)).
% 8.42/2.11  tff(pred_def_828, type, sP1590: !>[X0: $tType]:((fun(X0,fun(X0,$o)) * list(X0) * list(X0)) > $o)).
% 8.42/2.11  tff(pred_def_829, type, sP1591: !>[X0: $tType]:((set(product_prod(X0,X0)) * X0 * X0) > $o)).
% 8.42/2.11  tff(pred_def_830, type, sP1592: !>[X0: $tType]:((X0 * X0 * set(product_prod(X0,X0))) > $o)).
% 8.42/2.11  tff(pred_def_831, type, sP1593: !>[X0: $tType]:((set(X0) * X0 * set(X0)) > $o)).
% 8.42/2.11  tff(pred_def_832, type, sP1594: !>[X0: $tType]:((set(X0) * X0 * set(X0)) > $o)).
% 8.42/2.11  tff(pred_def_833, type, sP1595: !>[X0: $tType]:((set(X0) * X0 * set(X0)) > $o)).
% 8.42/2.11  tff(pred_def_834, type, sP1596: !>[X0: $tType]:((set(X0) * X0 * set(X0)) > $o)).
% 8.42/2.11  tff(pred_def_835, type, sP1597: !>[X0: $tType]:((set(product_prod(X0,X0)) * set(X0) * set(X0)) > $o)).
% 8.42/2.11  tff(pred_def_836, type, sP1598: (nat * nat * int * int) > $o).
% 8.42/2.11  tff(pred_def_837, type, sP1599: !>[X0: $tType]:((list(X0) * list(X0) * set(product_prod(X0,X0))) > $o)).
% 8.42/2.11  tff(pred_def_838, type, sP1600: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X1,$o)) * set(X1) * set(X0)) > $o)).
% 8.42/2.11  tff(pred_def_839, type, sP1601: (nat * nat * nat) > $o).
% 8.42/2.11  tff(pred_def_840, type, sP1602: !>[X0: $tType, X1: $tType]:((fun(X1,filter(X0)) * set(X1)) > $o)).
% 8.42/2.11  tff(pred_def_841, type, sP1603: !>[X0: $tType]:((option(X0) * option(X0) * option(X0)) > $o)).
% 8.42/2.11  tff(pred_def_842, type, sP1604: !>[X0: $tType]:((option(X0) * fun(X0,fun(X0,X0)) * option(X0) * option(X0)) > $o)).
% 8.42/2.11  tff(pred_def_843, type, sP1605: !>[X0: $tType]:((fun(X0,fun(X0,X0)) * option(X0) * option(X0) * option(X0)) > $o)).
% 8.42/2.11  tff(pred_def_844, type, sP1606: !>[X0: $tType]:((fun(X0,fun(X0,X0)) * option(X0) * option(X0) * option(X0)) > $o)).
% 8.42/2.11  tff(pred_def_845, type, sP1607: !>[X0: $tType]:((fun(X0,$o) * set(product_prod(X0,X0)) * X0) > $o)).
% 8.42/2.11  tff(pred_def_846, type, sP1608: !>[X0: $tType]:((fun(X0,$o) * set(product_prod(X0,X0)) * X0) > $o)).
% 8.42/2.11  tff(pred_def_847, type, sP1609: !>[X0: $tType]:((fun(X0,fun(X0,$o)) * set(product_prod(X0,X0))) > $o)).
% 8.42/2.11  tff(pred_def_848, type, sP1610: !>[X0: $tType]:((set(product_prod(X0,X0)) * X0 * X0 * nat) > $o)).
% 8.42/2.11  tff(pred_def_849, type, sP1611: !>[X0: $tType]:((set(product_prod(X0,X0)) * X0 * X0 * nat) > $o)).
% 8.42/2.11  tff(pred_def_850, type, sP1612: !>[X0: $tType]:((list(X0) * list(X0) * list(X0) * list(X0)) > $o)).
% 8.42/2.11  tff(pred_def_851, type, sP1613: !>[X0: $tType, X1: $tType]:((option(X0) * option(X1) * fun(option(X1),fun(option(X0),$o))) > $o)).
% 8.42/2.11  tff(pred_def_852, type, sP1614: (fun(real,real) * fun(real,real) * real * real) > $o).
% 8.42/2.11  tff(pred_def_853, type, sP1615: !>[X0: $tType]:((fun(X0,$o) * fun(X0,fun(X0,$o))) > $o)).
% 8.42/2.11  tff(pred_def_854, type, sP1616: (option(product_prod(nat,nat)) * nat * vEBT_VEBT * list(vEBT_VEBT) * nat) > $o).
% 8.42/2.11  tff(pred_def_855, type, sP1617: !>[X0: $tType]:((list(X0) * fun(X0,$o) * X0 * list(X0)) > $o)).
% 8.42/2.11  tff(pred_def_856, type, sP1618: !>[X0: $tType]:((list(X0) * fun(X0,$o) * X0 * list(X0)) > $o)).
% 8.42/2.11  tff(pred_def_857, type, sP1619: !>[X0: $tType]:((list(X0) * list(X0) * list(X0) * X0) > $o)).
% 8.42/2.11  tff(pred_def_858, type, sP1620: !>[X0: $tType]:((list(X0) * list(X0) * list(X0) * X0) > $o)).
% 8.42/2.11  tff(pred_def_859, type, sP1621: !>[X0: $tType]:((list(X0) * list(X0) * list(X0) * list(X0)) > $o)).
% 8.42/2.11  tff(pred_def_860, type, sP1622: !>[X0: $tType]:((X0 * X0 * X0 * X0) > $o)).
% 8.42/2.11  tff(pred_def_861, type, sP1623: !>[X0: $tType]:((set(product_prod(X0,X0)) * nat * X0 * X0) > $o)).
% 8.42/2.11  tff(pred_def_862, type, sP1624: !>[X0: $tType]:((nat * fun(nat,X0) * fun(X0,$o) * X0) > $o)).
% 8.42/2.11  tff(pred_def_863, type, sP1625: !>[X0: $tType]:((nat * fun(nat,X0) * fun(X0,$o) * X0) > $o)).
% 8.42/2.11  tff(pred_def_864, type, sP1626: !>[X0: $tType]:((fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) * X0 * X0) > $o)).
% 8.42/2.11  tff(pred_def_865, type, sP1627: !>[X0: $tType]:((fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) * X0 * X0) > $o)).
% 8.42/2.11  tff(pred_def_866, type, sP1628: !>[X0: $tType]:((X0 * X0 * fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o))) > $o)).
% 8.42/2.11  tff(pred_def_867, type, sP1629: !>[X0: $tType]:((fun(X0,fun(X0,$o)) * nat * X0 * X0) > $o)).
% 8.42/2.11  tff(pred_def_868, type, sP1630: !>[X0: $tType]:((fun(list(X0),fun(list(X0),$o)) * fun(X0,fun(X0,$o)) * list(X0) * list(X0)) > $o)).
% 8.42/2.12  tff(pred_def_869, type, sP1631: !>[X0: $tType]:((fun(X0,fun(X0,$o)) * list(X0) * list(X0)) > $o)).
% 8.42/2.12  tff(pred_def_870, type, sP1632: !>[X0: $tType]:((list(X0) * list(X0) * fun(X0,fun(X0,$o)) * fun(list(X0),fun(list(X0),$o))) > $o)).
% 8.42/2.12  tff(pred_def_871, type, sP1633: (fun(nat,real) * fun(real,fun(nat,real)) * real * real) > $o).
% 8.42/2.12  tff(pred_def_872, type, sP1634: (fun(real,real) * real * real) > $o).
% 8.42/2.12  tff(pred_def_873, type, sP1635: (fun(real,real) * real * real) > $o).
% 8.42/2.12  tff(pred_def_874, type, sP1636: (fun(real,real) * fun(real,real) * real * real) > $o).
% 8.42/2.12  tff(pred_def_875, type, sP1637: (fun(real,real) * fun(real,real) * real * real) > $o).
% 8.42/2.12  tff(pred_def_876, type, sP1638: (fun(nat,fun(real,real)) * real * real * nat) > $o).
% 8.42/2.12  tff(pred_def_877, type, sP1639: (fun(nat,fun(real,real)) * real * real * nat) > $o).
% 8.42/2.12  tff(pred_def_878, type, sP1640: (nat * nat * list(vEBT_VEBT) * nat * nat) > $o).
% 8.42/2.12  tff(pred_def_879, type, sP1641: !>[X0: $tType]:((set(product_prod(X0,X0)) * list(X0) * list(X0) * X0 * X0) > $o)).
% 8.42/2.12  tff(pred_def_880, type, sP1642: !>[X0: $tType]:((set(product_prod(X0,X0)) * list(X0) * list(X0) * X0 * X0) > $o)).
% 8.42/2.12  tff(pred_def_881, type, sP1643: !>[X0: $tType]:((set(product_prod(X0,X0)) * list(X0) * list(X0) * X0 * X0) > $o)).
% 8.42/2.12  tff(pred_def_882, type, sP1644: !>[X0: $tType]:((set(product_prod(X0,X0)) * X0 * X0 * list(X0) * list(X0)) > $o)).
% 8.42/2.12  tff(pred_def_883, type, sP1645: !>[X0: $tType]:((fun(X0,$o) * list(X0) * X0 * list(X0) * list(X0)) > $o)).
% 8.42/2.12  tff(pred_def_884, type, sP1646: !>[X0: $tType, X1: $tType]:((option(X0) * fun(X0,X1) * fun(X1,$o) * X1) > $o)).
% 8.42/2.12  tff(pred_def_885, type, sP1647: !>[X0: $tType, X1: $tType]:((option(X0) * fun(X0,X1) * fun(X1,$o) * X1) > $o)).
% 8.42/2.12  tff(pred_def_886, type, sP1648: !>[X0: $tType]:((X0 * X0 * set(product_prod(X0,X0)) * X0 * X0) > $o)).
% 8.42/2.12  tff(pred_def_887, type, sP1649: (nat * nat * nat * nat * list(vEBT_VEBT)) > $o).
% 8.42/2.12  tff(pred_def_888, type, sP1650: (list(vEBT_VEBT) * nat * nat * nat * nat) > $o).
% 8.42/2.12  tff(pred_def_889, type, sP1651: (vEBT_VEBT * list(vEBT_VEBT) * nat) > $o).
% 8.42/2.12  tff(pred_def_890, type, sP1652: (list(vEBT_VEBT) * nat * nat) > $o).
% 8.42/2.12  tff(pred_def_891, type, sP1653: (nat * nat * nat * nat * list(vEBT_VEBT)) > $o).
% 8.42/2.12  tff(pred_def_892, type, sP1654: (list(vEBT_VEBT) * nat * nat * nat * nat) > $o).
% 8.42/2.12  tff(pred_def_893, type, sP1655: (vEBT_VEBT * list(vEBT_VEBT) * nat) > $o).
% 8.42/2.12  tff(pred_def_894, type, sP1656: (list(vEBT_VEBT) * nat * nat) > $o).
% 8.42/2.12  tff(pred_def_895, type, sP1657: !>[X0: $tType, X1: $tType]:((fun(X1,set(X0)) * set(X1)) > $o)).
% 8.42/2.12  tff(pred_def_896, type, sP1658: (fun(nat,fun(real,real)) * real * real * nat) > $o).
% 8.42/2.12  tff(pred_def_897, type, sP1659: !>[X0: $tType, X1: $tType]:((X1 * fun(X1,option(X0)) * X0 * X1 * X0) > $o)).
% 8.42/2.12  tff(pred_def_898, type, sP1660: (vEBT_VEBT * list(vEBT_VEBT) * nat) > $o).
% 8.42/2.12  tff(pred_def_899, type, sP1661: !>[X0: $tType, X1: $tType]:((fun(X1,fun(X0,$o)) * set(product_prod(product_prod(X1,X0),product_prod(X1,X0))) * X0 * X1) > $o)).
% 8.42/2.12  tff(pred_def_900, type, sP1662: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((fun(X1,set(X0)) * fun(X2,X0) * fun(X3,set(X2)) * set(X3) * set(X1)) > $o)).
% 8.42/2.12  tff(pred_def_901, type, sP1663: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((set(X2) * set(X0) * fun(X0,set(X1)) * fun(X1,X3) * fun(X2,set(X3))) > $o)).
% 8.42/2.12  tff(pred_def_902, type, sP1664: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((fun(list(X3),fun(list(X2),fun(list(X1),fun(list(X0),$o))))) > $o)).
% 8.42/2.12  tff(f63097,plain,(
% 8.42/2.12    $false),
% 8.42/2.12    inference(global_subsumption,[],[f43605,f61062,f43607,f61063,f43609,f61064,f43611,f61065,f43613,f61066,f43615,f61067,f43617,f61068,f43619,f61069,f43621,f61070,f43623,f61071,f43625,f61072,f43627,f61073,f43629,f61074,f43631,f61075,f43633,f61076,f43635,f61077,f43637,f61078,f43639,f61079,f43641,f61080,f43643,f61081,f43645,f61082,f43647,f61083,f43649,f61084,f43651,f61085,f43653,f61086,f43655,f61087,f43657,f43656,f43663,f43662,f43661,f43660,f43659,f43658,f43667,f61088,f61089,f61090,f43672,f43671,f43669,f43668,f43675,f61091,f43677,f61092,f43679,f61093,f43681,f43680,f43683,f43682,f43685,f43684,f43686,f43689,f43688,f43687,f43690,f43692,f43691,f43694,f43693,f43697,f43696,f43695,f43699,f43698,f43701,f43700,f43702,f43703,f43704,f43705,f43707,f43706,f43710,f43709,f43708,f43712,f43711,f43714,f43713,f43715,f43716,f43717,f43718,f43720,f43719,f43722,f43721,f43724,f43723,f43726,f43725,f43729,f43728,f43727,f43731,f43730,f43733,f43732,f43734,f43735,f43736,f43737,f61094,f61095,f43739,f43738,f43743,f43742,f43745,f43744,f43746,f43747,f43749,f43748,f43751,f61096,f43753,f43752,f43755,f43754,f43757,f43756,f43759,f61097,f43761,f61098,f43764,f43763,f43762,f43765,f43769,f43768,f43767,f43766,f43770,f43771,f43773,f43772,f43775,f61099,f43777,f61100,f43779,f61101,f43781,f61102,f43783,f61103,f43785,f61104,f43787,f61105,f43789,f61106,f43791,f61107,f43793,f61108,f43795,f61109,f43797,f61110,f43799,f61111,f43801,f61112,f43803,f61113,f43805,f61114,f43807,f43806,f43809,f43808,f43811,f43810,f43812,f43814,f43813,f43816,f61115,f43818,f61116,f43820,f43819,f43822,f43821,f43824,f43823,f43826,f43825,f43828,f61117,f43830,f61118,f43832,f61119,f43834,f61120,f61123,f43840,f43839,f43838,f61126,f61127,f61128,f43846,f43845,f43844,f43843,f43842,f61129,f43850,f43849,f43848,f43847,f43854,f43853,f43852,f43855,f43857,f61130,f43859,f61131,f43861,f61132,f43865,f61133,f43863,f43862,f43867,f43866,f43869,f43868,f43873,f61134,f43871,f63096,f43870,f43875,f43874,f43877,f43876,f43879,f43878,f43881,f61135,f43883,f61136,f43885,f61137,f43887,f43886,f43889,f43888,f43891,f61138,f43893,f43892,f43896,f43895,f43894,f43898,f43897,f43900,f61139,f43902,f43901,f43904,f61140,f43906,f61141,f43908,f61142,f43910,f61143,f43912,f43911,f43914,f43913,f43916,f43915,f43918,f61144,f43920,f43919,f43922,f43921,f43923,f43925,f43924,f43927,f43926,f43929,f61145,f43931,f61146,f43933,f61147,f43935,f61148,f43937,f61149,f43939,f61150,f43941,f61151,f43943,f61152,f43947,f43946,f61154,f61155,f43950,f61157,f61158,f43952,f61159,f43954,f61160,f43956,f61161,f43958,f61162,f43960,f43959,f43962,f43961,f43964,f61163,f43966,f61164,f43968,f43967,f43970,f43969,f43972,f43971,f43973,f43975,f61165,f43977,f61166,f43979,f61167,f43981,f61168,f43983,f61169,f43985,f61170,f43987,f61171,f43989,f61172,f43992,f43991,f61173,f43995,f43994,f61174,f43998,f43997,f43996,f44001,f44000,f43999,f44004,f44003,f44002,f44005,f44009,f44008,f61176,f61177,f44012,f61179,f61180,f44014,f61181,f44016,f61182,f44018,f44017,f44020,f44019,f44021,f44024,f44023,f44022,f44025,f44027,f61183,f44029,f61184,f44031,f61185,f44033,f61186,f44036,f44035,f44034,f44037,f44040,f44039,f44038,f44041,f44043,f61187,f44045,f61188,f44047,f44046,f44049,f44048,f44050,f44052,f61189,f44054,f61190,f44056,f61191,f44058,f61192,f44060,f61193,f44062,f61194,f44064,f61195,f44066,f61196,f44069,f44068,f44067,f44070,f44074,f44073,f61198,f61199,f44077,f61201,f61202,f44079,f61203,f44081,f61204,f44085,f44084,f44083,f44082,f44086,f44087,f44089,f61205,f44091,f61206,f44093,f61207,f44095,f61208,f44099,f44098,f44097,f44096,f44100,f44101,f44103,f61209,f44105,f61210,f44108,f44107,f44106,f44111,f44110,f44109,f44114,f44113,f44112,f44117,f44116,f44115,f44120,f44119,f44118,f44123,f44122,f44121,f44125,f61211,f44127,f61212,f44129,f44128,f44131,f44130,f44133,f61213,f44135,f44134,f44137,f44136,f44139,f61214,f44141,f61215,f44143,f44142,f44145,f44144,f44148,f44147,f44146,f44150,f44149,f44152,f44151,f44153,f44154,f44155,f44156,f44158,f61216,f44160,f61217,f44162,f61218,f44164,f61219,f44166,f61220,f44168,f61221,f44170,f61222,f44172,f61223,f44174,f61224,f44176,f61225,f44178,f61226,f44180,f61227,f44182,f61228,f44184,f61229,f44186,f61230,f44188,f44187,f44190,f44189,f44193,f44192,f44191,f44195,f44194,f44197,f44196,f44198,f44199,f44200,f44201,f44203,f61231,f44205,f61232,f44207,f61233,f44209,f61234,f44211,f61235,f44213,f61236,f44215,f61237,f44217,f61238,f44219,f61239,f61240,f61241,f44221,f44220,f44225,f44224,f44227,f44226,f44228,f44229,f44231,f44230,f44233,f61242,f44235,f61243,f44237,f61244,f44239,f61245,f44241,f61246,f44243,f61247,f44245,f61248,f44247,f61249,f44249,f61250,f44251,f61251,f61252,f61253,f44253,f44252,f44257,f44256,f44259,f44258,f44260,f44261,f44263,f44262,f44265,f61254,f44267,f61255,f44269,f61256,f44271,f61257,f44273,f61258,f44275,f61259,f44277,f61260,f44279,f61261,f44281,f61262,f44283,f61263,f44285,f61264,f44287,f61265,f44289,f61266,f44291,f61267,f44293,f61268,f44295,f61269,f44297,f61270,f44299,f61271,f44301,f61272,f44303,f61273,f44305,f44304,f44307,f44306,f44309,f44308,f44311,f61274,f44313,f44312,f443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817,f45818,f45819,f45820,f45821,f45822,f45823,f45824,f45825,f45826,f45827,f45828,f45829,f45830,f45831,f45832,f45833,f45834,f45835,f45836,f45837,f45838,f45839,f45840,f45841,f45842,f45843,f45844,f45845,f45846,f45847,f45848,f45849,f45850,f45851,f45852,f45853,f45854,f45855,f45856,f45857,f45858,f45859,f45860,f45861,f45862,f45863,f45864,f45865,f45866,f45867,f45868,f45869,f45870,f45871,f45872,f45873,f45874,f45875,f45876,f45877,f45878,f45879,f45880,f45881,f45882,f45883,f45884,f45885,f45886,f45887,f45888,f45889,f45890,f45891,f45892,f45893,f45894,f45895,f45896,f45897,f45898,f45899,f45900,f45901,f45902,f45903,f45904,f45905,f45906,f45907,f45908,f45909,f45910,f45911,f45912,f45913,f45914,f45915,f45916,f45917,f45918,f45919,f45920,f45921,f45922,f45923,f45924,f45925,f45926,f45927,f45928,f45929,f45930,f45931,f45932,f45933,f45934,f45935,f45936,f45937,f45938,f45939,f45940,f45941,f45942,f45943,f45944,f45945,f45946,f45947,f45948,f45949,f45950,f45951,f45952,f45953,f45954,f45955,f45956,f45957,f45958,f45959,f45960,f45961,f45962,f45963,f45964,f45965,f45966,f45967,f45968,f45969,f45970,f45971,f45972,f45973,f45974,f45975,f45976,f45977,f45978,f45979,f45980,f45981,f45982,f45983,f45984,f45985,f45986,f45987,f45988,f45989,f45990,f45991,f45992,f45993,f45994,f45995,f45996,f45997,f45998,f45999,f46000,f46001,f46002,f46003,f46004,f46005,f46006,f46007,f46008,f46009,f46010,f46011,f46012,f46013,f46014,f46015,f46016,f46017,f46018,f46019,f46020,f46021,f46022,f46023,f46024,f46025,f46026,f46027,f46028,f46029,f46030,f46031,f46032,f46033,f46034,f46035,f46036,f46037,f46038,f46039,f46040,f46041,f46042,f46043,f46044,f46045,f46046,f46047,f46048,f46049,f46050,f46051,f46052,f46053,f46054,f46055,f46056,f46057,f46058,f46059,f46060,f46061,f46062,f46063,f46064,f46065,f46066,f46067,f46068,f46069,f46070,f46071,f46072,f46073,f46074,f46075,f46076,f46077,f46078,f46079,f46080,f46081,f46082,f46083,f46084,f46085,f46086,f46087,f46088,f46089,f46090,f46091,f46092,f46093,f46094,f46095,f46096,f46097,f46098,f46099,f46100,f46101,f46102,f46103,f46104,f46105,f46106,f46107,f46108,f46109,f46110,f46111,f46112,f46113,f46114,f46115,f46116,f46117,f46118,f46119,f46120,f46121,f46122,f46123,f46124,f46125,f46126,f46127,f46128,f46129,f46130,f46131,f46132,f46133,f46135,f46136,f46137,f46139,f46140,f46141,f46143,f46144,f46145,f46146,f46148,f46149,f46151,f46152,f46153,f46154,f46155,f46157,f46158,f46159,f46161,f46162,f46163,f46164,f46165,f46166,f46167,f46168,f46169,f46170,f46171,f46172,f46173,f46174,f46175,f46176,f46177,f46178,f46179,f46180,f46181,f46182,f46183,f46184,f46185,f46186,f46187,f46188,f46189,f46190,f46191,f46192,f46193,f46194,f46195,f46196,f46197,f46198,f46199,f46200,f46201,f46202,f46203,f46204,f46205,f46206,f46207,f46208,f46209,f46210,f46211,f46212,f46213,f46214,f46215,f46216,f46217,f46218,f46219,f46220,f46221,f46222,f46223,f46224,f46225,f46226,f46227,f46228,f46229,f46230,f46231,f46232,f46233,f46234,f46235,f46236,f46237,f46238,f46239,f46240,f46241,f46242,f46243,f46244,f46245,f46246,f46247,f46248,f46249,f46250,f46251,f46252,f46253,f46254,f46255,f46256,f46257,f46258,f46259,f46260,f46261,f46262,f46263,f46264,f46265,f46266,f46267,f46268,f46269,f46270,f46271,f46272,f46273,f46274,f46275,f46276,f46277,f46278,f46279,f46280,f46281,f46282,f46283,f46284,f46285,f46286,f46287,f46288,f46289,f46290,f46291,f46292,f46293,f46294,f46295,f46296,f46297,f46298,f46299,f46300,f46301,f46314,f46315,f46316,f46317,f46318,f46319,f46320,f46321,f46322,f46323,f46324,f46325,f46326,f46327,f46328,f46329,f46330,f46331,f46332,f46333,f46334,f46335,f46336,f46337,f46338,f46339,f46340,f46341,f46342,f46343,f46344,f46345,f46346,f46347,f46348,f46349,f46350,f46351,f46352,f46353,f46354,f46355,f46356,f46357,f46358,f46359,f46360,f46361,f46362,f46363,f46364,f46365,f46366,f46367,f46368,f46369,f46370,f46371,f46372,f46373,f46374,f46375,f46376,f46377,f46378,f46379,f46380,f46381,f46382,f46383,f46384,f46385,f46386,f46387,f46388,f46389,f46390,f46391,f46392,f46393,f46394,f46395,f46396,f46397,f46398,f46399,f46400,f46401,f46402,f46403,f46404,f46405,f46406,f46407,f46408,f46409,f46410,f46411,f46412,f46413,f46414,f46415,f46416,f46417,f46418,f46420,f46422,f46423,f46424,f46425,f46426,f46427,f46428,f46429,f46430,f46431,f46432,f46433,f46434,f46435,f46436,f46437,f46438,f46439,f46440,f46441,f46442,f46443,f46444,f46445,f46446,f46447,f46448,f46449,f46450,f46451,f46452,f46453,f46454,f46455,f46456,f46457,f46458,f46459,f46460,f46461,f46462,f46463,f46464,f46465,f46466,f46467,f46468,f46469,f46470,f46471,f46472,f46473,f46474,f46475,f46476,f46477,f46478,f46479,f46480,f46481,f46482,f46483,f46484,f46485,f46486,f46487,f46488,f46489,f46490,f46491,f46492,f46493,f46494,f46495,f46496,f46497,f46498,f46499,f46500,f46501,f46502,f46503,f46504,f46505,f46506,f46507,f46508,f46509,f46510,f46511,f46512,f46513,f46514,f46515,f46516,f46517,f46518,f46519,f46520,f46521,f46522,f46523,f46524,f46525,f46526,f46527,f46528,f46529,f46530,f46531,f46532,f46533,f46534,f46535,f46536,f46537,f46538,f46539,f46540,f46541,f46542,f46543,f46544,f46545,f46546,f46547,f46548,f46549,f46550,f46551,f46552,f46553,f46554,f46555,f46556,f46557,f46558,f46559,f46560,f46561,f46562,f46563,f46564,f46565,f46566,f46567,f46568,f46569,f46570,f46571,f46572,f46573,f46574,f46575,f46576,f46577,f46578,f46579,f46580,f46581,f46582,f46583,f46584,f46585,f46586,f46587,f46588,f46589,f46591,f46590,f46593,f46592,f46595])).
% 8.42/2.12  tff(f46595,plain,(
% 8.42/2.12    (aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(za,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),vEBT_VEBT_low(za,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) = $true) | za = ma | za = mi),
% 8.42/2.12    inference(cnf_transformation,[],[f9898])).
% 8.42/2.12  tff(f9898,plain,(
% 8.42/2.12    ((aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(za,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),vEBT_VEBT_low(za,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) = $true) & (aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),vEBT_VEBT_high(za,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),treeList)) = $true)) | za = ma | za = mi),
% 8.42/2.12    inference(fool_elimination,[],[f9897])).
% 8.42/2.12  tff(f9897,plain,(
% 8.42/2.12    (aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(za,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),vEBT_VEBT_low(za,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) & aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),vEBT_VEBT_high(za,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),treeList))) | za = ma | za = mi),
% 8.42/2.12    inference(rectify,[],[f73])).
% 8.42/2.12  tff(f73,axiom,(
% 8.42/2.12    (aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(za,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),vEBT_VEBT_low(za,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) & aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),vEBT_VEBT_high(za,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),treeList))) | za = ma | za = mi),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_72__C20_C)).
% 8.42/2.12  tff(f46592,plain,(
% 8.42/2.12    (aa(nat,$o,vEBT_vebt_member(vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),mi),ma)),deg,treeList,summary)),za) = $true)),
% 8.42/2.12    inference(cnf_transformation,[],[f9896])).
% 8.42/2.12  tff(f9896,plain,(
% 8.42/2.12    (aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),za),xa) = $true) & (aa(nat,$o,vEBT_vebt_member(vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),mi),ma)),deg,treeList,summary)),za) = $true)),
% 8.42/2.12    inference(fool_elimination,[],[f9895])).
% 8.42/2.12  tff(f9895,plain,(
% 8.42/2.12    aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),za),xa) & aa(nat,$o,vEBT_vebt_member(vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),mi),ma)),deg,treeList,summary)),za)),
% 8.42/2.12    inference(rectify,[],[f186])).
% 8.42/2.12  tff(f186,axiom,(
% 8.42/2.12    aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),za),xa) & aa(nat,$o,vEBT_vebt_member(vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),mi),ma)),deg,treeList,summary)),za)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_185__092_060open_062vebt__member_A_INode_A_ISome_A_Imi_M_Ama_J_J_Adeg_AtreeList_Asummary_J_Az_A_092_060and_062_Az_A_060_Ax_092_060close_062)).
% 8.42/2.12  tff(f46593,plain,(
% 8.42/2.12    (aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),za),xa) = $true)),
% 8.42/2.12    inference(cnf_transformation,[],[f9896])).
% 8.42/2.12  tff(f46590,plain,(
% 8.42/2.12    (aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),vEBT_VEBT_high(xa,na)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na)) = $true)),
% 8.42/2.12    inference(cnf_transformation,[],[f9894])).
% 8.42/2.12  tff(f9894,plain,(
% 8.42/2.12    (aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),vEBT_VEBT_low(xa,na)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na)) = $true) & (aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),vEBT_VEBT_high(xa,na)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na)) = $true)),
% 8.42/2.12    inference(fool_elimination,[],[f9893])).
% 8.42/2.12  tff(f9893,plain,(
% 8.42/2.12    aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),vEBT_VEBT_low(xa,na)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na)) & aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),vEBT_VEBT_high(xa,na)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),
% 8.42/2.12    inference(rectify,[],[f25])).
% 8.42/2.12  tff(f25,axiom,(
% 8.42/2.12    aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),vEBT_VEBT_low(xa,na)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na)) & aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),vEBT_VEBT_high(xa,na)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_24__092_060open_062high_Ax_An_A_060_A2_A_094_An_A_092_060and_062_Alow_Ax_An_A_060_A2_A_094_An_092_060close_062)).
% 8.42/2.12  tff(f46591,plain,(
% 8.42/2.12    (aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),vEBT_VEBT_low(xa,na)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na)) = $true)),
% 8.42/2.12    inference(cnf_transformation,[],[f9894])).
% 8.42/2.12  tff(f46589,plain,(
% 8.42/2.12    vEBT_VEBT_minNull(vEBT_Leaf($false,$false))),
% 8.42/2.12    inference(cnf_transformation,[],[f9892])).
% 8.42/2.12  tff(f9892,plain,(
% 8.42/2.12    vEBT_VEBT_minNull(vEBT_Leaf($false,$false))),
% 8.42/2.12    inference(fool_elimination,[],[f880])).
% 8.42/2.12  tff(f880,axiom,(
% 8.42/2.12    vEBT_VEBT_minNull(vEBT_Leaf($false,$false))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_879_VEBT__internal_OminNull_Osimps_I1_J)).
% 8.42/2.12  tff(f46588,plain,(
% 8.42/2.12    vEBT_vebt_pred(vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),mi),ma)),deg,treeList,summary),xa) = iG101),
% 8.42/2.12    inference(cnf_transformation,[],[f9891])).
% 8.42/2.12  tff(f9891,plain,(
% 8.42/2.12    vEBT_vebt_pred(vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),mi),ma)),deg,treeList,summary),xa) = iG101),
% 8.42/2.12    inference(fool_elimination,[],[f9886,f9890,f9889,f9888,f9887])).
% 8.42/2.12  tff(f9887,plain,(
% 8.42/2.12    vEBT_vebt_pred(summary,vEBT_VEBT_high(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) = pr20),
% 8.42/2.12    introduced(fool_let_definition,[])).
% 8.42/2.12  tff(f9888,plain,(
% 8.42/2.12    (~(aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),mi),xa) = $true) => none(nat) = iG99) & ((aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),mi),xa) = $true) => aa(nat,option(nat),some(nat),mi) = iG99)),
% 8.42/2.12    introduced(fool_ite_definition,[new_symbols(definition,[iG99])])).
% 8.42/2.12  tff(f9889,plain,(
% 8.42/2.12    (~none(nat) = pr20 => aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_add,aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_mul,aa(nat,option(nat),some(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),pr20)),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(option(nat),nat,the2(nat),pr20)))) = iG100) & (none(nat) = pr20 => iG99 = iG100)),
% 8.42/2.12    introduced(fool_ite_definition,[new_symbols(definition,[iG100])])).
% 8.42/2.12  tff(f9890,plain,(
% 8.42/2.12    (~(vEBT_VEBT_greater(aa(nat,option(nat),some(nat),vEBT_VEBT_low(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))) & none(nat) != vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))) => iG100 = iG101) & ((vEBT_VEBT_greater(aa(nat,option(nat),some(nat),vEBT_VEBT_low(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))) & none(nat) != vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))) => aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_add,aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_mul,aa(nat,option(nat),some(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(nat,option(nat),some(nat),vEBT_VEBT_high(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))),vEBT_vebt_pred(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),vEBT_VEBT_low(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) = iG101)),
% 8.42/2.12    introduced(fool_ite_definition,[new_symbols(definition,[iG101])])).
% 8.42/2.12  tff(f9886,plain,(
% 8.42/2.12    vEBT_vebt_pred(vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),mi),ma)),deg,treeList,summary),xa) = $ite(vEBT_VEBT_greater(aa(nat,option(nat),some(nat),vEBT_VEBT_low(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))) & none(nat) != vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))), aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_add,aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_mul,aa(nat,option(nat),some(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(nat,option(nat),some(nat),vEBT_VEBT_high(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))),vEBT_vebt_pred(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),vEBT_VEBT_low(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),$let(pr20: option(nat), pr20 := vEBT_vebt_pred(summary,vEBT_VEBT_high(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))), $ite(none(nat) = pr20, $ite(aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),mi),xa), aa(nat,option(nat),some(nat),mi),none(nat)),aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_add,aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_mul,aa(nat,option(nat),some(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),pr20)),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(option(nat),nat,the2(nat),pr20)))))))),
% 8.42/2.12    inference(rectify,[],[f593])).
% 8.42/2.12  tff(f593,axiom,(
% 8.42/2.12    vEBT_vebt_pred(vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),mi),ma)),deg,treeList,summary),xa) = $ite(vEBT_VEBT_greater(aa(nat,option(nat),some(nat),vEBT_VEBT_low(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))) & none(nat) != vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))), aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_add,aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_mul,aa(nat,option(nat),some(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(nat,option(nat),some(nat),vEBT_VEBT_high(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))),vEBT_vebt_pred(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),vEBT_VEBT_low(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),$let(pr20: option(nat), pr20 := vEBT_vebt_pred(summary,vEBT_VEBT_high(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))), $ite(none(nat) = pr20, $ite(aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),mi),xa), aa(nat,option(nat),some(nat),mi),none(nat)),aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_add,aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_mul,aa(nat,option(nat),some(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),pr20)),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(option(nat),nat,the2(nat),pr20)))))))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_592__C1_C)).
% 8.42/2.12  tff(f46587,plain,(
% 8.42/2.12    vEBT_vebt_pred(vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),mi),ma)),deg,treeList,summary),xa) = iG98),
% 8.42/2.12    inference(cnf_transformation,[],[f9885])).
% 8.42/2.12  tff(f9885,plain,(
% 8.42/2.12    vEBT_vebt_pred(vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),mi),ma)),deg,treeList,summary),xa) = iG98),
% 8.42/2.12    inference(fool_elimination,[],[f9882,f9884,f9883])).
% 8.42/2.12  tff(f9883,plain,(
% 8.42/2.12    (~(aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),mi),xa) = $true) => none(nat) = iG97) & ((aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),mi),xa) = $true) => aa(nat,option(nat),some(nat),mi) = iG97)),
% 8.42/2.12    introduced(fool_ite_definition,[new_symbols(definition,[iG97])])).
% 8.42/2.12  tff(f9884,plain,(
% 8.42/2.12    (~vEBT_vebt_pred(summary,vEBT_VEBT_high(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) = none(nat) => aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_add,aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_mul,aa(nat,option(nat),some(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),vEBT_vebt_pred(summary,vEBT_VEBT_high(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(option(nat),nat,the2(nat),vEBT_vebt_pred(summary,vEBT_VEBT_high(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))))) = iG98) & (vEBT_vebt_pred(summary,vEBT_VEBT_high(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) = none(nat) => iG97 = iG98)),
% 8.42/2.12    introduced(fool_ite_definition,[new_symbols(definition,[iG98])])).
% 8.42/2.12  tff(f9882,plain,(
% 8.42/2.12    vEBT_vebt_pred(vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),mi),ma)),deg,treeList,summary),xa) = $ite(vEBT_vebt_pred(summary,vEBT_VEBT_high(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) = none(nat), $ite(aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),mi),xa), aa(nat,option(nat),some(nat),mi),none(nat)),aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_add,aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_mul,aa(nat,option(nat),some(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),vEBT_vebt_pred(summary,vEBT_VEBT_high(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(option(nat),nat,the2(nat),vEBT_vebt_pred(summary,vEBT_VEBT_high(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))))))),
% 8.42/2.12    inference(rectify,[],[f453])).
% 8.42/2.12  tff(f453,axiom,(
% 8.42/2.12    vEBT_vebt_pred(vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),mi),ma)),deg,treeList,summary),xa) = $ite(vEBT_vebt_pred(summary,vEBT_VEBT_high(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) = none(nat), $ite(aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),mi),xa), aa(nat,option(nat),some(nat),mi),none(nat)),aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_add,aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_mul,aa(nat,option(nat),some(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),vEBT_vebt_pred(summary,vEBT_VEBT_high(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(option(nat),nat,the2(nat),vEBT_vebt_pred(summary,vEBT_VEBT_high(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))))))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_452__C2_C)).
% 8.42/2.12  tff(f46586,plain,(
% 8.42/2.12    vEBT_vebt_buildup(aa(nat,nat,suc,zero_zero(nat))) = vEBT_Leaf($false,$false)),
% 8.42/2.12    inference(cnf_transformation,[],[f9881])).
% 8.42/2.12  tff(f9881,plain,(
% 8.42/2.12    vEBT_vebt_buildup(aa(nat,nat,suc,zero_zero(nat))) = vEBT_Leaf($false,$false)),
% 8.42/2.12    inference(fool_elimination,[],[f903])).
% 8.42/2.12  tff(f903,axiom,(
% 8.42/2.12    vEBT_vebt_buildup(aa(nat,nat,suc,zero_zero(nat))) = vEBT_Leaf($false,$false)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_902_vebt__buildup_Osimps_I2_J)).
% 8.42/2.12  tff(f46585,plain,(
% 8.42/2.12    vEBT_vebt_buildup(zero_zero(nat)) = vEBT_Leaf($false,$false)),
% 8.42/2.12    inference(cnf_transformation,[],[f9880])).
% 8.42/2.12  tff(f9880,plain,(
% 8.42/2.12    vEBT_vebt_buildup(zero_zero(nat)) = vEBT_Leaf($false,$false)),
% 8.42/2.12    inference(fool_elimination,[],[f873])).
% 8.42/2.12  tff(f873,axiom,(
% 8.42/2.12    vEBT_vebt_buildup(zero_zero(nat)) = vEBT_Leaf($false,$false)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_872_vebt__buildup_Osimps_I1_J)).
% 8.42/2.12  tff(f46584,plain,(
% 8.42/2.12    aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_add,aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_mul,aa(nat,option(nat),some(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),vEBT_vebt_pred(summary,vEBT_VEBT_high(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(option(nat),nat,the2(nat),vEBT_vebt_pred(summary,vEBT_VEBT_high(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))))) = vEBT_vebt_pred(vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),mi),ma)),deg,treeList,summary),xa)),
% 8.42/2.12    inference(cnf_transformation,[],[f454])).
% 8.42/2.12  tff(f454,axiom,(
% 8.42/2.12    aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_add,aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_mul,aa(nat,option(nat),some(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),vEBT_vebt_pred(summary,vEBT_VEBT_high(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(option(nat),nat,the2(nat),vEBT_vebt_pred(summary,vEBT_VEBT_high(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))))) = vEBT_vebt_pred(vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),mi),ma)),deg,treeList,summary),xa)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_453_fst)).
% 8.42/2.12  tff(f46583,plain,(
% 8.42/2.12    divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,aa(num,num,bit0,one2)))) = aa(real,real,aa(real,fun(real,real),plus_plus(real),aa(real,real,aa(real,fun(real,real),times_times(real),aa(num,real,numeral_numeral(real),aa(num,num,bit1,aa(num,num,bit0,one2)))),aa(real,real,arctan,divide_divide(real,one_one(real),aa(num,real,numeral_numeral(real),aa(num,num,bit1,aa(num,num,bit1,one2))))))),aa(real,real,aa(real,fun(real,real),times_times(real),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))),aa(real,real,arctan,divide_divide(real,aa(num,real,numeral_numeral(real),aa(num,num,bit1,one2)),aa(num,real,numeral_numeral(real),aa(num,num,bit1,aa(num,num,bit1,aa(num,num,bit1,aa(num,num,bit1,aa(num,num,bit0,aa(num,num,bit0,one2)))))))))))),
% 8.42/2.12    inference(cnf_transformation,[],[f2942])).
% 8.42/2.12  tff(f2942,axiom,(
% 8.42/2.12    divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,aa(num,num,bit0,one2)))) = aa(real,real,aa(real,fun(real,real),plus_plus(real),aa(real,real,aa(real,fun(real,real),times_times(real),aa(num,real,numeral_numeral(real),aa(num,num,bit1,aa(num,num,bit0,one2)))),aa(real,real,arctan,divide_divide(real,one_one(real),aa(num,real,numeral_numeral(real),aa(num,num,bit1,aa(num,num,bit1,one2))))))),aa(real,real,aa(real,fun(real,real),times_times(real),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))),aa(real,real,arctan,divide_divide(real,aa(num,real,numeral_numeral(real),aa(num,num,bit1,one2)),aa(num,real,numeral_numeral(real),aa(num,num,bit1,aa(num,num,bit1,aa(num,num,bit1,aa(num,num,bit1,aa(num,num,bit0,aa(num,num,bit0,one2)))))))))))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2941_machin__Euler)).
% 8.42/2.12  tff(f46582,plain,(
% 8.42/2.12    res = aa(option(nat),nat,the2(nat),aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_add,aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_mul,aa(nat,option(nat),some(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),vEBT_vebt_pred(summary,vEBT_VEBT_high(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(option(nat),nat,the2(nat),vEBT_vebt_pred(summary,vEBT_VEBT_high(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))))))),
% 8.42/2.12    inference(cnf_transformation,[],[f449])).
% 8.42/2.12  tff(f449,axiom,(
% 8.42/2.12    res = aa(option(nat),nat,the2(nat),aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_add,aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_mul,aa(nat,option(nat),some(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),vEBT_vebt_pred(summary,vEBT_VEBT_high(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(option(nat),nat,the2(nat),vEBT_vebt_pred(summary,vEBT_VEBT_high(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))))))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_448_snd)).
% 8.42/2.12  tff(f46581,plain,(
% 8.42/2.12    divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,aa(num,num,bit0,one2)))) = aa(real,real,aa(real,fun(real,real),minus_minus(real),aa(real,real,aa(real,fun(real,real),times_times(real),aa(num,real,numeral_numeral(real),aa(num,num,bit0,aa(num,num,bit0,one2)))),aa(real,real,arctan,divide_divide(real,one_one(real),aa(num,real,numeral_numeral(real),aa(num,num,bit1,aa(num,num,bit0,one2))))))),aa(real,real,arctan,divide_divide(real,one_one(real),aa(num,real,numeral_numeral(real),aa(num,num,bit1,aa(num,num,bit1,aa(num,num,bit1,aa(num,num,bit1,aa(num,num,bit0,aa(num,num,bit1,aa(num,num,bit1,one2)))))))))))),
% 8.42/2.12    inference(cnf_transformation,[],[f2943])).
% 8.42/2.12  tff(f2943,axiom,(
% 8.42/2.12    divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,aa(num,num,bit0,one2)))) = aa(real,real,aa(real,fun(real,real),minus_minus(real),aa(real,real,aa(real,fun(real,real),times_times(real),aa(num,real,numeral_numeral(real),aa(num,num,bit0,aa(num,num,bit0,one2)))),aa(real,real,arctan,divide_divide(real,one_one(real),aa(num,real,numeral_numeral(real),aa(num,num,bit1,aa(num,num,bit0,one2))))))),aa(real,real,arctan,divide_divide(real,one_one(real),aa(num,real,numeral_numeral(real),aa(num,num,bit1,aa(num,num,bit1,aa(num,num,bit1,aa(num,num,bit1,aa(num,num,bit0,aa(num,num,bit1,aa(num,num,bit1,one2)))))))))))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2942_machin)).
% 8.42/2.12  tff(f46580,plain,(
% 8.42/2.12    times_times(int) = aa(fun(product_prod(nat,nat),fun(product_prod(nat,nat),product_prod(nat,nat))),fun(int,fun(int,int)),map_fun(int,product_prod(nat,nat),fun(product_prod(nat,nat),product_prod(nat,nat)),fun(int,int),rep_Integ,map_fun(int,product_prod(nat,nat),product_prod(nat,nat),int,rep_Integ,abs_Integ)),aa(fun(nat,fun(nat,fun(product_prod(nat,nat),product_prod(nat,nat)))),fun(product_prod(nat,nat),fun(product_prod(nat,nat),product_prod(nat,nat))),product_case_prod(nat,nat,fun(product_prod(nat,nat),product_prod(nat,nat))),aTP_Lamp_mw(nat,fun(nat,fun(product_prod(nat,nat),product_prod(nat,nat))))))),
% 8.42/2.12    inference(cnf_transformation,[],[f5826])).
% 8.42/2.12  tff(f5826,axiom,(
% 8.42/2.12    times_times(int) = aa(fun(product_prod(nat,nat),fun(product_prod(nat,nat),product_prod(nat,nat))),fun(int,fun(int,int)),map_fun(int,product_prod(nat,nat),fun(product_prod(nat,nat),product_prod(nat,nat)),fun(int,int),rep_Integ,map_fun(int,product_prod(nat,nat),product_prod(nat,nat),int,rep_Integ,abs_Integ)),aa(fun(nat,fun(nat,fun(product_prod(nat,nat),product_prod(nat,nat)))),fun(product_prod(nat,nat),fun(product_prod(nat,nat),product_prod(nat,nat))),product_case_prod(nat,nat,fun(product_prod(nat,nat),product_prod(nat,nat))),aTP_Lamp_mw(nat,fun(nat,fun(product_prod(nat,nat),product_prod(nat,nat))))))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5825_times__int__def)).
% 8.42/2.12  tff(f46579,plain,(
% 8.42/2.12    plus_plus(int) = aa(fun(product_prod(nat,nat),fun(product_prod(nat,nat),product_prod(nat,nat))),fun(int,fun(int,int)),map_fun(int,product_prod(nat,nat),fun(product_prod(nat,nat),product_prod(nat,nat)),fun(int,int),rep_Integ,map_fun(int,product_prod(nat,nat),product_prod(nat,nat),int,rep_Integ,abs_Integ)),aa(fun(nat,fun(nat,fun(product_prod(nat,nat),product_prod(nat,nat)))),fun(product_prod(nat,nat),fun(product_prod(nat,nat),product_prod(nat,nat))),product_case_prod(nat,nat,fun(product_prod(nat,nat),product_prod(nat,nat))),aTP_Lamp_ne(nat,fun(nat,fun(product_prod(nat,nat),product_prod(nat,nat))))))),
% 8.42/2.12    inference(cnf_transformation,[],[f5828])).
% 8.42/2.12  tff(f5828,axiom,(
% 8.42/2.12    plus_plus(int) = aa(fun(product_prod(nat,nat),fun(product_prod(nat,nat),product_prod(nat,nat))),fun(int,fun(int,int)),map_fun(int,product_prod(nat,nat),fun(product_prod(nat,nat),product_prod(nat,nat)),fun(int,int),rep_Integ,map_fun(int,product_prod(nat,nat),product_prod(nat,nat),int,rep_Integ,abs_Integ)),aa(fun(nat,fun(nat,fun(product_prod(nat,nat),product_prod(nat,nat)))),fun(product_prod(nat,nat),fun(product_prod(nat,nat),product_prod(nat,nat))),product_case_prod(nat,nat,fun(product_prod(nat,nat),product_prod(nat,nat))),aTP_Lamp_ne(nat,fun(nat,fun(product_prod(nat,nat),product_prod(nat,nat))))))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5827_plus__int__def)).
% 8.42/2.12  tff(f46578,plain,(
% 8.42/2.12    minus_minus(int) = aa(fun(product_prod(nat,nat),fun(product_prod(nat,nat),product_prod(nat,nat))),fun(int,fun(int,int)),map_fun(int,product_prod(nat,nat),fun(product_prod(nat,nat),product_prod(nat,nat)),fun(int,int),rep_Integ,map_fun(int,product_prod(nat,nat),product_prod(nat,nat),int,rep_Integ,abs_Integ)),aa(fun(nat,fun(nat,fun(product_prod(nat,nat),product_prod(nat,nat)))),fun(product_prod(nat,nat),fun(product_prod(nat,nat),product_prod(nat,nat))),product_case_prod(nat,nat,fun(product_prod(nat,nat),product_prod(nat,nat))),aTP_Lamp_ng(nat,fun(nat,fun(product_prod(nat,nat),product_prod(nat,nat))))))),
% 8.42/2.12    inference(cnf_transformation,[],[f5827])).
% 8.42/2.12  tff(f5827,axiom,(
% 8.42/2.12    minus_minus(int) = aa(fun(product_prod(nat,nat),fun(product_prod(nat,nat),product_prod(nat,nat))),fun(int,fun(int,int)),map_fun(int,product_prod(nat,nat),fun(product_prod(nat,nat),product_prod(nat,nat)),fun(int,int),rep_Integ,map_fun(int,product_prod(nat,nat),product_prod(nat,nat),int,rep_Integ,abs_Integ)),aa(fun(nat,fun(nat,fun(product_prod(nat,nat),product_prod(nat,nat)))),fun(product_prod(nat,nat),fun(product_prod(nat,nat),product_prod(nat,nat))),product_case_prod(nat,nat,fun(product_prod(nat,nat),product_prod(nat,nat))),aTP_Lamp_ng(nat,fun(nat,fun(product_prod(nat,nat),product_prod(nat,nat))))))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5826_minus__int__def)).
% 8.42/2.12  tff(f46577,plain,(
% 8.42/2.12    set_or7035219750837199246ssThan(nat,zero_zero(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,one2)))))))))) = aa(set(char),set(nat),image(char,nat,comm_s6883823935334413003f_char(nat)),top_top(set(char)))),
% 8.42/2.12    inference(cnf_transformation,[],[f6367])).
% 8.42/2.12  tff(f6367,axiom,(
% 8.42/2.12    set_or7035219750837199246ssThan(nat,zero_zero(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,one2)))))))))) = aa(set(char),set(nat),image(char,nat,comm_s6883823935334413003f_char(nat)),top_top(set(char)))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6366_range__nat__of__char)).
% 8.42/2.12  tff(f46576,plain,(
% 8.42/2.12    top_top(set(char)) = aa(set(nat),set(char),image(nat,char,unique5772411509450598832har_of(nat)),set_or7035219750837199246ssThan(nat,zero_zero(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,one2)))))))))))),
% 8.42/2.12    inference(cnf_transformation,[],[f6358])).
% 8.42/2.12  tff(f6358,axiom,(
% 8.42/2.12    top_top(set(char)) = aa(set(nat),set(char),image(nat,char,unique5772411509450598832har_of(nat)),set_or7035219750837199246ssThan(nat,zero_zero(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,one2)))))))))))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6357_UNIV__char__of__nat)).
% 8.42/2.12  tff(f46575,plain,(
% 8.42/2.12    res = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),pr)),maxy)),
% 8.42/2.12    inference(cnf_transformation,[],[f183])).
% 8.42/2.12  tff(f183,axiom,(
% 8.42/2.12    res = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),pr)),maxy)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_182__092_060open_062res_A_061_A2_A_094_A_Ideg_Adiv_A2_J_A_K_Apr_A_L_Amaxy_092_060close_062)).
% 8.42/2.12  tff(f46574,plain,(
% 8.42/2.12    uminus_uminus(int) = aa(fun(product_prod(nat,nat),product_prod(nat,nat)),fun(int,int),map_fun(int,product_prod(nat,nat),product_prod(nat,nat),int,rep_Integ,abs_Integ),aa(fun(nat,fun(nat,product_prod(nat,nat))),fun(product_prod(nat,nat),product_prod(nat,nat)),product_case_prod(nat,nat,product_prod(nat,nat)),aTP_Lamp_mx(nat,fun(nat,product_prod(nat,nat)))))),
% 8.42/2.12    inference(cnf_transformation,[],[f5821])).
% 8.42/2.12  tff(f5821,axiom,(
% 8.42/2.12    uminus_uminus(int) = aa(fun(product_prod(nat,nat),product_prod(nat,nat)),fun(int,int),map_fun(int,product_prod(nat,nat),product_prod(nat,nat),int,rep_Integ,abs_Integ),aa(fun(nat,fun(nat,product_prod(nat,nat))),fun(product_prod(nat,nat),product_prod(nat,nat)),product_case_prod(nat,nat,product_prod(nat,nat)),aTP_Lamp_mx(nat,fun(nat,product_prod(nat,nat)))))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5820_uminus__int__def)).
% 8.42/2.12  tff(f46573,plain,(
% 8.42/2.12    filterlim(real,real,tan(real),at_bot(real),topolo174197925503356063within(real,aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))),aa(real,set(real),set_ord_greaterThan(real),aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))))))),
% 8.42/2.12    inference(cnf_transformation,[],[f7295])).
% 8.42/2.12  tff(f7295,axiom,(
% 8.42/2.12    filterlim(real,real,tan(real),at_bot(real),topolo174197925503356063within(real,aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))),aa(real,set(real),set_ord_greaterThan(real),aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))))))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7294_filterlim__tan__at__right)).
% 8.42/2.12  tff(f46572,plain,(
% 8.42/2.12    aa(set(char),nat,finite_card(char),top_top(set(char))) = aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,one2)))))))))),
% 8.42/2.12    inference(cnf_transformation,[],[f6357])).
% 8.42/2.12  tff(f6357,axiom,(
% 8.42/2.12    aa(set(char),nat,finite_card(char),top_top(set(char))) = aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,aa(num,num,bit0,one2)))))))))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6356_card__UNIV__char)).
% 8.42/2.12  tff(f46571,plain,(
% 8.42/2.12    divide_divide(real,aa(real,real,sqrt,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))) = sin(real,divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,aa(num,num,bit0,one2)))))),
% 8.42/2.12    inference(cnf_transformation,[],[f3254])).
% 8.42/2.12  tff(f3254,axiom,(
% 8.42/2.12    divide_divide(real,aa(real,real,sqrt,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))) = sin(real,divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,aa(num,num,bit0,one2)))))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3253_sin__45)).
% 8.42/2.12  tff(f46570,plain,(
% 8.42/2.12    cos(real,divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,aa(num,num,bit0,one2))))) = divide_divide(real,aa(real,real,sqrt,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))),
% 8.42/2.12    inference(cnf_transformation,[],[f3253])).
% 8.42/2.12  tff(f3253,axiom,(
% 8.42/2.12    cos(real,divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,aa(num,num,bit0,one2))))) = divide_divide(real,aa(real,real,sqrt,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3252_cos__45)).
% 8.42/2.12  tff(f46569,plain,(
% 8.42/2.12    cos(real,divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,aa(num,num,bit1,one2))))) = divide_divide(real,aa(real,real,sqrt,aa(num,real,numeral_numeral(real),aa(num,num,bit1,one2))),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))),
% 8.42/2.12    inference(cnf_transformation,[],[f3266])).
% 8.42/2.12  tff(f3266,axiom,(
% 8.42/2.12    cos(real,divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,aa(num,num,bit1,one2))))) = divide_divide(real,aa(real,real,sqrt,aa(num,real,numeral_numeral(real),aa(num,num,bit1,one2))),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3265_cos__30)).
% 8.42/2.12  tff(f46568,plain,(
% 8.42/2.12    aa(real,real,uminus_uminus(real),one_one(real)) = sin(real,aa(real,real,aa(real,fun(real,real),times_times(real),divide_divide(real,aa(num,real,numeral_numeral(real),aa(num,num,bit1,one2)),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))),pi))),
% 8.42/2.12    inference(cnf_transformation,[],[f2980])).
% 8.42/2.12  tff(f2980,axiom,(
% 8.42/2.12    aa(real,real,uminus_uminus(real),one_one(real)) = sin(real,aa(real,real,aa(real,fun(real,real),times_times(real),divide_divide(real,aa(num,real,numeral_numeral(real),aa(num,num,bit1,one2)),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))),pi))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2979_sin__3over2__pi)).
% 8.42/2.12  tff(f46567,plain,(
% 8.42/2.12    divide_divide(real,aa(real,real,sqrt,aa(num,real,numeral_numeral(real),aa(num,num,bit1,one2))),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))) = sin(real,divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit1,one2))))),
% 8.42/2.12    inference(cnf_transformation,[],[f3267])).
% 8.42/2.12  tff(f3267,axiom,(
% 8.42/2.12    divide_divide(real,aa(real,real,sqrt,aa(num,real,numeral_numeral(real),aa(num,num,bit1,one2))),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))) = sin(real,divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit1,one2))))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3266_sin__60)).
% 8.42/2.12  tff(f46566,plain,(
% 8.42/2.12    aa(real,real,tan(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,aa(num,num,bit1,one2))))) = divide_divide(real,one_one(real),aa(real,real,sqrt,aa(num,real,numeral_numeral(real),aa(num,num,bit1,one2))))),
% 8.42/2.12    inference(cnf_transformation,[],[f3277])).
% 8.42/2.12  tff(f3277,axiom,(
% 8.42/2.12    aa(real,real,tan(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,aa(num,num,bit1,one2))))) = divide_divide(real,one_one(real),aa(real,real,sqrt,aa(num,real,numeral_numeral(real),aa(num,num,bit1,one2))))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3276_tan__30)).
% 8.42/2.12  tff(f46565,plain,(
% 8.42/2.12    aa(nat,option(nat),some(nat),maxy) = vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(option(nat),nat,the2(nat),vEBT_vebt_pred(summary,vEBT_VEBT_high(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))))),
% 8.42/2.12    inference(cnf_transformation,[],[f424])).
% 8.42/2.12  tff(f424,axiom,(
% 8.42/2.12    aa(nat,option(nat),some(nat),maxy) = vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(option(nat),nat,the2(nat),vEBT_vebt_pred(summary,vEBT_VEBT_high(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_423__092_060open_062Some_Amaxy_A_061_Avebt__maxt_A_ItreeList_A_B_Athe_A_Ivebt__pred_Asummary_A_Ihigh_Ax_A_Ideg_Adiv_A2_J_J_J_J_092_060close_062)).
% 8.42/2.12  tff(f46564,plain,(
% 8.42/2.12    one_one(complex) = exp(complex,aa(complex,complex,aa(complex,fun(complex,complex),times_times(complex),aa(complex,complex,aa(complex,fun(complex,complex),times_times(complex),aa(num,complex,numeral_numeral(complex),aa(num,num,bit0,one2))),real_Vector_of_real(complex,pi))),imaginary_unit))),
% 8.42/2.12    inference(cnf_transformation,[],[f4066])).
% 8.42/2.12  tff(f4066,axiom,(
% 8.42/2.12    one_one(complex) = exp(complex,aa(complex,complex,aa(complex,fun(complex,complex),times_times(complex),aa(complex,complex,aa(complex,fun(complex,complex),times_times(complex),aa(num,complex,numeral_numeral(complex),aa(num,num,bit0,one2))),real_Vector_of_real(complex,pi))),imaginary_unit))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4065_exp__two__pi__i)).
% 8.42/2.12  tff(f46563,plain,(
% 8.42/2.12    one_one(complex) = exp(complex,aa(complex,complex,aa(complex,fun(complex,complex),times_times(complex),imaginary_unit),aa(complex,complex,aa(complex,fun(complex,complex),times_times(complex),real_Vector_of_real(complex,pi)),aa(num,complex,numeral_numeral(complex),aa(num,num,bit0,one2)))))),
% 8.42/2.12    inference(cnf_transformation,[],[f4065])).
% 8.42/2.12  tff(f4065,axiom,(
% 8.42/2.12    one_one(complex) = exp(complex,aa(complex,complex,aa(complex,fun(complex,complex),times_times(complex),imaginary_unit),aa(complex,complex,aa(complex,fun(complex,complex),times_times(complex),real_Vector_of_real(complex,pi)),aa(num,complex,numeral_numeral(complex),aa(num,num,bit0,one2)))))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4064_exp__two__pi__i_H)).
% 8.42/2.12  tff(f46562,plain,(
% 8.42/2.12    zero_zero(real) = cos(real,aa(real,real,aa(real,fun(real,real),times_times(real),divide_divide(real,aa(num,real,numeral_numeral(real),aa(num,num,bit1,one2)),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))),pi))),
% 8.42/2.12    inference(cnf_transformation,[],[f2979])).
% 8.42/2.12  tff(f2979,axiom,(
% 8.42/2.12    zero_zero(real) = cos(real,aa(real,real,aa(real,fun(real,real),times_times(real),divide_divide(real,aa(num,real,numeral_numeral(real),aa(num,num,bit1,one2)),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))),pi))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2978_cos__3over2__pi)).
% 8.42/2.12  tff(f46561,plain,(
% 8.42/2.12    filterlim(real,real,tan(real),at_top(real),topolo174197925503356063within(real,divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))),set_ord_lessThan(real,divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))))),
% 8.42/2.12    inference(cnf_transformation,[],[f7187])).
% 8.42/2.12  tff(f7187,axiom,(
% 8.42/2.12    filterlim(real,real,tan(real),at_top(real),topolo174197925503356063within(real,divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))),set_ord_lessThan(real,divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7186_filterlim__tan__at__left)).
% 8.42/2.12  tff(f46560,plain,(
% 8.42/2.12    vEBT_invar_vebt(vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),mi),ma)),deg,treeList,summary),deg)),
% 8.42/2.12    inference(cnf_transformation,[],[f208])).
% 8.42/2.12  tff(f208,axiom,(
% 8.42/2.12    vEBT_invar_vebt(vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),mi),ma)),deg,treeList,summary),deg)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_207_thisvalid)).
% 8.42/2.12  tff(f46559,plain,(
% 8.42/2.12    quotient_of(aa(rat,rat,uminus_uminus(rat),one_one(rat))) = aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),aa(int,int,uminus_uminus(int),one_one(int))),one_one(int))),
% 8.42/2.12    inference(cnf_transformation,[],[f4907])).
% 8.42/2.12  tff(f4907,axiom,(
% 8.42/2.12    quotient_of(aa(rat,rat,uminus_uminus(rat),one_one(rat))) = aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),aa(int,int,uminus_uminus(int),one_one(int))),one_one(int))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4906_quotient__of__number_I4_J)).
% 8.42/2.12  tff(f46558,plain,(
% 8.42/2.12    aa(real,real,uminus_uminus(real),one_one(real)) = aa(real,real,tan(real),aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,aa(num,num,bit0,one2))))))),
% 8.42/2.12    inference(cnf_transformation,[],[f3122])).
% 8.42/2.12  tff(f3122,axiom,(
% 8.42/2.12    aa(real,real,uminus_uminus(real),one_one(real)) = aa(real,real,tan(real),aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,aa(num,num,bit0,one2))))))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3121_tan__minus__45)).
% 8.42/2.12  tff(f46557,plain,(
% 8.42/2.12    divide_divide(real,one_one(real),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))) = sin(real,divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,aa(num,num,bit1,one2)))))),
% 8.42/2.12    inference(cnf_transformation,[],[f3041])).
% 8.42/2.12  tff(f3041,axiom,(
% 8.42/2.12    divide_divide(real,one_one(real),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))) = sin(real,divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,aa(num,num,bit1,one2)))))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3040_sin__30)).
% 8.42/2.12  tff(f46556,plain,(
% 8.42/2.12    csqrt(imaginary_unit) = divide_divide(complex,aa(complex,complex,aa(complex,fun(complex,complex),plus_plus(complex),one_one(complex)),imaginary_unit),real_Vector_of_real(complex,aa(real,real,sqrt,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))))),
% 8.42/2.12    inference(cnf_transformation,[],[f4098])).
% 8.42/2.12  tff(f4098,axiom,(
% 8.42/2.12    csqrt(imaginary_unit) = divide_divide(complex,aa(complex,complex,aa(complex,fun(complex,complex),plus_plus(complex),one_one(complex)),imaginary_unit),real_Vector_of_real(complex,aa(real,real,sqrt,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4097_csqrt__ii)).
% 8.42/2.12  tff(f46555,plain,(
% 8.42/2.12    aa(fun(nat,nat),fun(set(nat),nat),groups7311177749621191930dd_sum(nat,nat),aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = nat_set_encode),
% 8.42/2.12    inference(cnf_transformation,[],[f4221])).
% 8.42/2.12  tff(f4221,axiom,(
% 8.42/2.12    aa(fun(nat,nat),fun(set(nat),nat),groups7311177749621191930dd_sum(nat,nat),aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = nat_set_encode),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4220_set__encode__def)).
% 8.42/2.12  tff(f46554,plain,(
% 8.42/2.12    aa(real,real,tan(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit1,one2)))) = aa(real,real,sqrt,aa(num,real,numeral_numeral(real),aa(num,num,bit1,one2)))),
% 8.42/2.12    inference(cnf_transformation,[],[f3255])).
% 8.42/2.12  tff(f3255,axiom,(
% 8.42/2.12    aa(real,real,tan(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit1,one2)))) = aa(real,real,sqrt,aa(num,real,numeral_numeral(real),aa(num,num,bit1,one2)))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3254_tan__60)).
% 8.42/2.12  tff(f46553,plain,(
% 8.42/2.12    vEBT_VEBT_max_in_set(vEBT_VEBT_set_vebt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(option(nat),nat,the2(nat),vEBT_vebt_pred(summary,vEBT_VEBT_high(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),maxy)),
% 8.42/2.12    inference(cnf_transformation,[],[f266])).
% 8.42/2.12  tff(f266,axiom,(
% 8.42/2.12    vEBT_VEBT_max_in_set(vEBT_VEBT_set_vebt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(option(nat),nat,the2(nat),vEBT_vebt_pred(summary,vEBT_VEBT_high(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),maxy)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_265__092_060open_062max__in__set_A_Iset__vebt_H_A_ItreeList_A_B_Athe_A_Ivebt__pred_Asummary_A_Ihigh_Ax_A_Ideg_Adiv_A2_J_J_J_J_J_Amaxy_092_060close_062)).
% 8.42/2.12  tff(f46552,plain,(
% 8.42/2.12    vEBT_invar_vebt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(option(nat),nat,the2(nat),vEBT_vebt_pred(summary,vEBT_VEBT_high(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))),na)),
% 8.42/2.12    inference(cnf_transformation,[],[f305])).
% 8.42/2.12  tff(f305,axiom,(
% 8.42/2.12    vEBT_invar_vebt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(option(nat),nat,the2(nat),vEBT_vebt_pred(summary,vEBT_VEBT_high(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))),na)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_304__092_060open_062invar__vebt_A_ItreeList_A_B_Athe_A_Ivebt__pred_Asummary_A_Ihigh_Ax_A_Ideg_Adiv_A2_J_J_J_J_An_092_060close_062)).
% 8.42/2.12  tff(f46551,plain,(
% 8.42/2.12    aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na) = aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),treeList)),
% 8.42/2.12    inference(cnf_transformation,[],[f36])).
% 8.42/2.12  tff(f36,axiom,(
% 8.42/2.12    aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na) = aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),treeList)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_35__092_060open_062length_AtreeList_A_061_A2_A_094_An_092_060close_062)).
% 8.42/2.12  tff(f46550,plain,(
% 8.42/2.12    aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),m) = aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),treeList)),
% 8.42/2.12    inference(cnf_transformation,[],[f55])).
% 8.42/2.12  tff(f55,axiom,(
% 8.42/2.12    aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),m) = aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),treeList)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_54__C4_Ohyps_C_I4_J)).
% 8.42/2.12  tff(f46549,plain,(
% 8.42/2.12    aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))) = aa(real,real,arcsin,aa(real,real,uminus_uminus(real),one_one(real)))),
% 8.42/2.12    inference(cnf_transformation,[],[f3311])).
% 8.42/2.12  tff(f3311,axiom,(
% 8.42/2.12    aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))) = aa(real,real,arcsin,aa(real,real,uminus_uminus(real),one_one(real)))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3310_arcsin__minus__1)).
% 8.42/2.12  tff(f46548,plain,(
% 8.42/2.12    divide_divide(real,one_one(real),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))) = cos(real,divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit1,one2))))),
% 8.42/2.12    inference(cnf_transformation,[],[f3046])).
% 8.42/2.12  tff(f3046,axiom,(
% 8.42/2.12    divide_divide(real,one_one(real),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))) = cos(real,divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit1,one2))))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3045_cos__60)).
% 8.42/2.12  tff(f46547,plain,(
% 8.42/2.12    filterlim(real,real,artanh(real),at_bot(real),topolo174197925503356063within(real,aa(real,real,uminus_uminus(real),one_one(real)),aa(real,set(real),set_ord_greaterThan(real),aa(real,real,uminus_uminus(real),one_one(real)))))),
% 8.42/2.12    inference(cnf_transformation,[],[f7316])).
% 8.42/2.12  tff(f7316,axiom,(
% 8.42/2.12    filterlim(real,real,artanh(real),at_bot(real),topolo174197925503356063within(real,aa(real,real,uminus_uminus(real),one_one(real)),aa(real,set(real),set_ord_greaterThan(real),aa(real,real,uminus_uminus(real),one_one(real)))))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7315_artanh__real__at__right__1)).
% 8.42/2.12  tff(f46546,plain,(
% 8.42/2.12    aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)) = aa(real,real,sqrt,aa(num,real,numeral_numeral(real),aa(num,num,bit0,aa(num,num,bit0,one2))))),
% 8.42/2.12    inference(cnf_transformation,[],[f3179])).
% 8.42/2.12  tff(f3179,axiom,(
% 8.42/2.12    aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)) = aa(real,real,sqrt,aa(num,real,numeral_numeral(real),aa(num,num,bit0,aa(num,num,bit0,one2))))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3178_real__sqrt__four)).
% 8.42/2.12  tff(f46545,plain,(
% 8.42/2.12    aa(complex,complex,uminus_uminus(complex),one_one(complex)) = aa(nat,complex,aa(complex,fun(nat,complex),power_power(complex),imaginary_unit),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),
% 8.42/2.12    inference(cnf_transformation,[],[f3778])).
% 8.42/2.12  tff(f3778,axiom,(
% 8.42/2.12    aa(complex,complex,uminus_uminus(complex),one_one(complex)) = aa(nat,complex,aa(complex,fun(nat,complex),power_power(complex),imaginary_unit),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3777_power2__i)).
% 8.42/2.12  tff(f46544,plain,(
% 8.42/2.12    bot_bot(set(nat)) = aa(set(set(nat)),set(nat),complete_Inf_Inf(set(nat)),aa(set(nat),set(set(nat)),image(nat,set(nat),set_ord_greaterThan(nat)),top_top(set(nat))))),
% 8.42/2.12    inference(cnf_transformation,[],[f7328])).
% 8.42/2.12  tff(f7328,axiom,(
% 8.42/2.12    bot_bot(set(nat)) = aa(set(set(nat)),set(nat),complete_Inf_Inf(set(nat)),aa(set(nat),set(set(nat)),image(nat,set(nat),set_ord_greaterThan(nat)),top_top(set(nat))))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7327_INT__greaterThan__UNIV)).
% 8.42/2.12  tff(f46543,plain,(
% 8.42/2.12    filterlim(real,real,aTP_Lamp_xj(real,real),topolo7230453075368039082e_nhds(real,zero_zero(real)),topolo174197925503356063within(real,divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))),top_top(set(real))))),
% 8.42/2.12    inference(cnf_transformation,[],[f7001])).
% 8.42/2.12  tff(f7001,axiom,(
% 8.42/2.12    filterlim(real,real,aTP_Lamp_xj(real,real),topolo7230453075368039082e_nhds(real,zero_zero(real)),topolo174197925503356063within(real,divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))),top_top(set(real))))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7000_LIM__cos__div__sin)).
% 8.42/2.12  tff(f46542,plain,(
% 8.42/2.12    zero_zero(int) = aa(product_prod(nat,nat),int,abs_Integ,aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),zero_zero(nat)),zero_zero(nat)))),
% 8.42/2.12    inference(cnf_transformation,[],[f5787])).
% 8.42/2.12  tff(f5787,axiom,(
% 8.42/2.12    zero_zero(int) = aa(product_prod(nat,nat),int,abs_Integ,aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),zero_zero(nat)),zero_zero(nat)))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5786_zero__int__def)).
% 8.42/2.12  tff(f46541,plain,(
% 8.42/2.12    one_one(int) = aa(product_prod(nat,nat),int,abs_Integ,aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),one_one(nat)),zero_zero(nat)))),
% 8.42/2.12    inference(cnf_transformation,[],[f5790])).
% 8.42/2.12  tff(f5790,axiom,(
% 8.42/2.12    one_one(int) = aa(product_prod(nat,nat),int,abs_Integ,aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),one_one(nat)),zero_zero(nat)))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5789_one__int__def)).
% 8.42/2.12  tff(f46540,plain,(
% 8.42/2.12    aa(int,int,aa(int,fun(int,int),bit_se1065995026697491101ons_or(int),one_one(int)),aa(int,int,bit_ri4277139882892585799ns_not(int),one_one(int))) = aa(int,int,bit_ri4277139882892585799ns_not(int),zero_zero(int))),
% 8.42/2.12    inference(cnf_transformation,[],[f4818])).
% 8.42/2.12  tff(f4818,axiom,(
% 8.42/2.12    aa(int,int,aa(int,fun(int,int),bit_se1065995026697491101ons_or(int),one_one(int)),aa(int,int,bit_ri4277139882892585799ns_not(int),one_one(int))) = aa(int,int,bit_ri4277139882892585799ns_not(int),zero_zero(int))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4817_or__not__numerals_I1_J)).
% 8.42/2.12  tff(f46539,plain,(
% 8.42/2.12    pi = aa(real,real,aa(real,fun(real,real),times_times(real),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))),the(real,aTP_Lamp_jg(real,$o)))),
% 8.42/2.12    inference(cnf_transformation,[],[f4156])).
% 8.42/2.12  tff(f4156,axiom,(
% 8.42/2.12    pi = aa(real,real,aa(real,fun(real,real),times_times(real),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))),the(real,aTP_Lamp_jg(real,$o)))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4155_pi__def)).
% 8.42/2.12  tff(f46538,plain,(
% 8.42/2.12    filterlim(real,real,arctan,topolo7230453075368039082e_nhds(real,aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))),at_bot(real))),
% 8.42/2.12    inference(cnf_transformation,[],[f7272])).
% 8.42/2.12  tff(f7272,axiom,(
% 8.42/2.12    filterlim(real,real,arctan,topolo7230453075368039082e_nhds(real,aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))),at_bot(real))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7271_tendsto__arctan__at__bot)).
% 8.42/2.12  tff(f46537,plain,(
% 8.42/2.12    divide_divide(real,aa(real,real,uminus_uminus(real),pi),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))) = arg(aa(complex,complex,uminus_uminus(complex),imaginary_unit))),
% 8.42/2.12    inference(cnf_transformation,[],[f3823])).
% 8.42/2.12  tff(f3823,axiom,(
% 8.42/2.12    divide_divide(real,aa(real,real,uminus_uminus(real),pi),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))) = arg(aa(complex,complex,uminus_uminus(complex),imaginary_unit))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3822_Arg__minus__ii)).
% 8.42/2.12  tff(f46536,plain,(
% 8.42/2.12    vEBT_vebt_pred(summary,vEBT_VEBT_high(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) = aa(nat,option(nat),some(nat),pr)),
% 8.42/2.12    inference(cnf_transformation,[],[f264])).
% 8.42/2.12  tff(f264,axiom,(
% 8.42/2.12    vEBT_vebt_pred(summary,vEBT_VEBT_high(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) = aa(nat,option(nat),some(nat),pr)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_263__092_060open_062vebt__pred_Asummary_A_Ihigh_Ax_A_Ideg_Adiv_A2_J_J_A_061_ASome_Apr_092_060close_062)).
% 8.42/2.12  tff(f46535,plain,(
% 8.42/2.12    aa(complex,complex,uminus_uminus(complex),imaginary_unit) = cis(aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))))),
% 8.42/2.12    inference(cnf_transformation,[],[f3825])).
% 8.42/2.12  tff(f3825,axiom,(
% 8.42/2.12    aa(complex,complex,uminus_uminus(complex),imaginary_unit) = cis(aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3824_cis__minus__pi__half)).
% 8.42/2.12  tff(f46534,plain,(
% 8.42/2.12    zero_zero(real) = sin(real,aa(real,real,aa(real,fun(real,real),times_times(real),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))),pi))),
% 8.42/2.12    inference(cnf_transformation,[],[f2964])).
% 8.42/2.12  tff(f2964,axiom,(
% 8.42/2.12    zero_zero(real) = sin(real,aa(real,real,aa(real,fun(real,real),times_times(real),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))),pi))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2963_sin__two__pi)).
% 8.42/2.12  tff(f46533,plain,(
% 8.42/2.12    one_one(real) = cos(real,aa(real,real,aa(real,fun(real,real),times_times(real),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))),pi))),
% 8.42/2.12    inference(cnf_transformation,[],[f2966])).
% 8.42/2.12  tff(f2966,axiom,(
% 8.42/2.12    one_one(real) = cos(real,aa(real,real,aa(real,fun(real,real),times_times(real),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))),pi))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2965_cos__two__pi)).
% 8.42/2.12  tff(f46532,plain,(
% 8.42/2.12    nat_prod_encode = aa(fun(nat,fun(nat,nat)),fun(product_prod(nat,nat),nat),product_case_prod(nat,nat,nat),aTP_Lamp_nl(nat,fun(nat,nat)))),
% 8.42/2.12    inference(cnf_transformation,[],[f5820])).
% 8.42/2.12  tff(f5820,axiom,(
% 8.42/2.12    nat_prod_encode = aa(fun(nat,fun(nat,nat)),fun(product_prod(nat,nat),nat),product_case_prod(nat,nat,nat),aTP_Lamp_nl(nat,fun(nat,nat)))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5819_prod__encode__def)).
% 8.42/2.12  tff(f46531,plain,(
% 8.42/2.12    aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat))),
% 8.42/2.12    inference(cnf_transformation,[],[f413])).
% 8.42/2.12  tff(f413,axiom,(
% 8.42/2.12    aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),one_one(nat))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_412_nat__1__add__1)).
% 8.42/2.12  tff(f46530,plain,(
% 8.42/2.12    aa(num,nat,numeral_numeral(nat),aa(num,num,bit1,one2)) = aa(nat,nat,suc,aa(nat,nat,suc,aa(nat,nat,suc,zero_zero(nat))))),
% 8.42/2.12    inference(cnf_transformation,[],[f2488])).
% 8.42/2.12  tff(f2488,axiom,(
% 8.42/2.12    aa(num,nat,numeral_numeral(nat),aa(num,num,bit1,one2)) = aa(nat,nat,suc,aa(nat,nat,suc,aa(nat,nat,suc,zero_zero(nat))))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2487_numeral__3__eq__3)).
% 8.42/2.12  tff(f46529,plain,(
% 8.42/2.12    quotient_of(zero_zero(rat)) = aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),zero_zero(int)),one_one(int))),
% 8.42/2.12    inference(cnf_transformation,[],[f4903])).
% 8.42/2.12  tff(f4903,axiom,(
% 8.42/2.12    quotient_of(zero_zero(rat)) = aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),zero_zero(int)),one_one(int))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4902_rat__zero__code)).
% 8.42/2.12  tff(f46528,plain,(
% 8.42/2.12    quotient_of(one_one(rat)) = aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),one_one(int)),one_one(int))),
% 8.42/2.12    inference(cnf_transformation,[],[f4902])).
% 8.42/2.12  tff(f4902,axiom,(
% 8.42/2.12    quotient_of(one_one(rat)) = aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),one_one(int)),one_one(int))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4901_rat__one__code)).
% 8.42/2.12  tff(f46527,plain,(
% 8.42/2.12    one_one(real) = aa(real,real,tan(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,aa(num,num,bit0,one2)))))),
% 8.42/2.12    inference(cnf_transformation,[],[f3112])).
% 8.42/2.12  tff(f3112,axiom,(
% 8.42/2.12    one_one(real) = aa(real,real,tan(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,aa(num,num,bit0,one2)))))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3111_tan__45)).
% 8.42/2.12  tff(f46526,plain,(
% 8.42/2.12    one_one(complex) = cis(aa(real,real,aa(real,fun(real,real),times_times(real),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))),pi))),
% 8.42/2.12    inference(cnf_transformation,[],[f3844])).
% 8.42/2.12  tff(f3844,axiom,(
% 8.42/2.12    one_one(complex) = cis(aa(real,real,aa(real,fun(real,real),times_times(real),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))),pi))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3843_cis__2pi)).
% 8.42/2.12  tff(f46525,plain,(
% 8.42/2.12    divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,aa(num,num,bit0,one2)))) = aa(real,real,arctan,one_one(real))),
% 8.42/2.12    inference(cnf_transformation,[],[f2937])).
% 8.42/2.12  tff(f2937,axiom,(
% 8.42/2.12    divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,aa(num,num,bit0,one2)))) = aa(real,real,arctan,one_one(real))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2936_arctan__one)).
% 8.42/2.12  tff(f46524,plain,(
% 8.42/2.12    aa(complex,complex,uminus_uminus(complex),one_one(complex)) = exp(complex,aa(complex,complex,aa(complex,fun(complex,complex),times_times(complex),real_Vector_of_real(complex,pi)),imaginary_unit))),
% 8.42/2.12    inference(cnf_transformation,[],[f4062])).
% 8.42/2.12  tff(f4062,axiom,(
% 8.42/2.12    aa(complex,complex,uminus_uminus(complex),one_one(complex)) = exp(complex,aa(complex,complex,aa(complex,fun(complex,complex),times_times(complex),real_Vector_of_real(complex,pi)),imaginary_unit))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4061_exp__pi__i)).
% 8.42/2.12  tff(f46523,plain,(
% 8.42/2.12    aa(complex,complex,uminus_uminus(complex),one_one(complex)) = exp(complex,aa(complex,complex,aa(complex,fun(complex,complex),times_times(complex),imaginary_unit),real_Vector_of_real(complex,pi)))),
% 8.42/2.12    inference(cnf_transformation,[],[f4061])).
% 8.42/2.12  tff(f4061,axiom,(
% 8.42/2.12    aa(complex,complex,uminus_uminus(complex),one_one(complex)) = exp(complex,aa(complex,complex,aa(complex,fun(complex,complex),times_times(complex),imaginary_unit),real_Vector_of_real(complex,pi)))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4060_exp__pi__i_H)).
% 8.42/2.12  tff(f46522,plain,(
% 8.42/2.12    aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)) != divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))),
% 8.42/2.12    inference(cnf_transformation,[],[f2921])).
% 8.42/2.12  tff(f2921,axiom,(
% 8.42/2.12    aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)) != divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2920_pi__half__neq__two)).
% 8.42/2.12  tff(f46521,plain,(
% 8.42/2.12    vEBT_invar_vebt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),na)),
% 8.42/2.12    inference(cnf_transformation,[],[f33])).
% 8.42/2.12  tff(f33,axiom,(
% 8.42/2.12    vEBT_invar_vebt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),na)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_32__092_060open_062invar__vebt_A_ItreeList_A_B_Ahigh_Ax_A_Ideg_Adiv_A2_J_J_An_092_060close_062)).
% 8.42/2.12  tff(f46520,plain,(
% 8.42/2.12    vEBT_invar_vebt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(za,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),na)),
% 8.42/2.12    inference(cnf_transformation,[],[f32])).
% 8.42/2.12  tff(f32,axiom,(
% 8.42/2.12    vEBT_invar_vebt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(za,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),na)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_31_abc)).
% 8.42/2.12  tff(f46519,plain,(
% 8.42/2.12    divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,aa(num,num,bit0,one2)))) = suminf(real,aTP_Lamp_dk(nat,real))),
% 8.42/2.12    inference(cnf_transformation,[],[f2869])).
% 8.42/2.12  tff(f2869,axiom,(
% 8.42/2.12    divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,aa(num,num,bit0,one2)))) = suminf(real,aTP_Lamp_dk(nat,real))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2868_pi__series)).
% 8.42/2.12  tff(f46518,plain,(
% 8.42/2.12    one_one(rat) = frct(aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),one_one(int)),one_one(int)))),
% 8.42/2.12    inference(cnf_transformation,[],[f4975])).
% 8.42/2.12  tff(f4975,axiom,(
% 8.42/2.12    one_one(rat) = frct(aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),one_one(int)),one_one(int)))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4974_Frct__code__post_I3_J)).
% 8.42/2.12  tff(f46517,plain,(
% 8.42/2.12    aa(nat,nat,suc,aa(nat,nat,suc,zero_zero(nat))) = nat2(aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),
% 8.42/2.12    inference(cnf_transformation,[],[f4340])).
% 8.42/2.12  tff(f4340,axiom,(
% 8.42/2.12    aa(nat,nat,suc,aa(nat,nat,suc,zero_zero(nat))) = nat2(aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4339_nat__2)).
% 8.42/2.12  tff(f46516,plain,(
% 8.42/2.12    aa(num,option(num),some(num),one2) = aa(num,option(num),aa(num,fun(num,option(num)),bit_un7362597486090784418nd_num,one2),one2)),
% 8.42/2.12    inference(cnf_transformation,[],[f6025])).
% 8.42/2.12  tff(f6025,axiom,(
% 8.42/2.12    aa(num,option(num),some(num),one2) = aa(num,option(num),aa(num,fun(num,option(num)),bit_un7362597486090784418nd_num,one2),one2)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6024_and__num_Osimps_I1_J)).
% 8.42/2.12  tff(f46515,plain,(
% 8.42/2.12    zero_zero(int) = aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),one_one(int)),aa(int,int,bit_ri4277139882892585799ns_not(int),one_one(int)))),
% 8.42/2.12    inference(cnf_transformation,[],[f4817])).
% 8.42/2.12  tff(f4817,axiom,(
% 8.42/2.12    zero_zero(int) = aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),one_one(int)),aa(int,int,bit_ri4277139882892585799ns_not(int),one_one(int)))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4816_and__not__numerals_I1_J)).
% 8.42/2.12  tff(f46514,plain,(
% 8.42/2.12    filterlim(real,real,arcosh(real),topolo7230453075368039082e_nhds(real,zero_zero(real)),topolo174197925503356063within(real,one_one(real),aa(real,set(real),set_ord_greaterThan(real),one_one(real))))),
% 8.42/2.12    inference(cnf_transformation,[],[f7315])).
% 8.42/2.12  tff(f7315,axiom,(
% 8.42/2.12    filterlim(real,real,arcosh(real),topolo7230453075368039082e_nhds(real,zero_zero(real)),topolo174197925503356063within(real,one_one(real),aa(real,set(real),set_ord_greaterThan(real),one_one(real))))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7314_tendsto__arcosh__at__left__1)).
% 8.42/2.12  tff(f46513,plain,(
% 8.42/2.12    filterlim(real,real,arctan,topolo7230453075368039082e_nhds(real,divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))),at_top(real))),
% 8.42/2.12    inference(cnf_transformation,[],[f7189])).
% 8.42/2.12  tff(f7189,axiom,(
% 8.42/2.12    filterlim(real,real,arctan,topolo7230453075368039082e_nhds(real,divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))),at_top(real))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7188_tendsto__arctan__at__top)).
% 8.42/2.12  tff(f46512,plain,(
% 8.42/2.12    aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)) = aa(nat,nat,suc,aa(nat,nat,suc,zero_zero(nat)))),
% 8.42/2.12    inference(cnf_transformation,[],[f1266])).
% 8.42/2.12  tff(f1266,axiom,(
% 8.42/2.12    aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)) = aa(nat,nat,suc,aa(nat,nat,suc,zero_zero(nat)))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1265_numeral__2__eq__2)).
% 8.42/2.12  tff(f46511,plain,(
% 8.42/2.12    divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))) = aa(real,real,arccos,zero_zero(real))),
% 8.42/2.12    inference(cnf_transformation,[],[f3340])).
% 8.42/2.12  tff(f3340,axiom,(
% 8.42/2.12    divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))) = aa(real,real,arccos,zero_zero(real))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3339_arccos__0)).
% 8.42/2.12  tff(f46510,plain,(
% 8.42/2.12    divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))) = aa(real,real,arcsin,one_one(real))),
% 8.42/2.12    inference(cnf_transformation,[],[f3310])).
% 8.42/2.12  tff(f3310,axiom,(
% 8.42/2.12    divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))) = aa(real,real,arcsin,one_one(real))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3309_arcsin__1)).
% 8.42/2.12  tff(f46509,plain,(
% 8.42/2.12    aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)) = aa(set($o),nat,finite_card($o),top_top(set($o)))),
% 8.42/2.12    inference(cnf_transformation,[],[f6346])).
% 8.42/2.12  tff(f6346,axiom,(
% 8.42/2.12    aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)) = aa(set($o),nat,finite_card($o),top_top(set($o)))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6345_card__UNIV__bool)).
% 8.42/2.12  tff(f46508,plain,(
% 8.42/2.12    aa(num,code_integer,numeral_numeral(code_integer),aa(num,num,bit0,one2)) = aa(num,code_integer,code_integer_of_num,aa(num,num,bit0,one2))),
% 8.42/2.12    inference(cnf_transformation,[],[f5035])).
% 8.42/2.12  tff(f5035,axiom,(
% 8.42/2.12    aa(num,code_integer,numeral_numeral(code_integer),aa(num,num,bit0,one2)) = aa(num,code_integer,code_integer_of_num,aa(num,num,bit0,one2))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5034_integer__of__num__triv_I2_J)).
% 8.42/2.12  tff(f46507,plain,(
% 8.42/2.12    aa(complex,complex,uminus_uminus(complex),one_one(complex)) = aa(complex,complex,aa(complex,fun(complex,complex),times_times(complex),imaginary_unit),imaginary_unit)),
% 8.42/2.12    inference(cnf_transformation,[],[f3774])).
% 8.42/2.12  tff(f3774,axiom,(
% 8.42/2.12    aa(complex,complex,uminus_uminus(complex),one_one(complex)) = aa(complex,complex,aa(complex,fun(complex,complex),times_times(complex),imaginary_unit),imaginary_unit)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3773_i__squared)).
% 8.42/2.12  tff(f46506,plain,(
% 8.42/2.12    vEBT_is_pred_in_set(vEBT_VEBT_set_vebt(summary),vEBT_VEBT_high(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),pr)),
% 8.42/2.12    inference(cnf_transformation,[],[f35])).
% 8.42/2.12  tff(f35,axiom,(
% 8.42/2.12    vEBT_is_pred_in_set(vEBT_VEBT_set_vebt(summary),vEBT_VEBT_high(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),pr)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_34__092_060open_062is__pred__in__set_A_Iset__vebt_H_Asummary_J_A_Ihigh_Ax_A_Ideg_Adiv_A2_J_J_Apr_092_060close_062)).
% 8.42/2.12  tff(f46505,plain,(
% 8.42/2.12    divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))) = the(real,aTP_Lamp_jg(real,$o))),
% 8.42/2.12    inference(cnf_transformation,[],[f4155])).
% 8.42/2.12  tff(f4155,axiom,(
% 8.42/2.12    divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))) = the(real,aTP_Lamp_jg(real,$o))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4154_pi__half)).
% 8.42/2.12  tff(f46504,plain,(
% 8.42/2.12    code_Target_negative = aa(fun(num,int),fun(num,int),comp(int,int,num,uminus_uminus(int)),numeral_numeral(int))),
% 8.42/2.12    inference(cnf_transformation,[],[f5753])).
% 8.42/2.12  tff(f5753,axiom,(
% 8.42/2.12    code_Target_negative = aa(fun(num,int),fun(num,int),comp(int,int,num,uminus_uminus(int)),numeral_numeral(int))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5752_Code__Target__Int_Onegative__def)).
% 8.42/2.12  tff(f46503,plain,(
% 8.42/2.12    code_negative = aa(fun(num,code_integer),fun(num,code_integer),comp(code_integer,code_integer,num,uminus_uminus(code_integer)),numeral_numeral(code_integer))),
% 8.42/2.12    inference(cnf_transformation,[],[f5746])).
% 8.42/2.12  tff(f5746,axiom,(
% 8.42/2.12    code_negative = aa(fun(num,code_integer),fun(num,code_integer),comp(code_integer,code_integer,num,uminus_uminus(code_integer)),numeral_numeral(code_integer))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5745_Code__Numeral_Onegative__def)).
% 8.42/2.12  tff(f46502,plain,(
% 8.42/2.12    aa(rat,rat,uminus_uminus(rat),one_one(rat)) = fract(aa(int,int,uminus_uminus(int),one_one(int)),one_one(int))),
% 8.42/2.12    inference(cnf_transformation,[],[f6074])).
% 8.42/2.12  tff(f6074,axiom,(
% 8.42/2.12    aa(rat,rat,uminus_uminus(rat),one_one(rat)) = fract(aa(int,int,uminus_uminus(int),one_one(int)),one_one(int))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6073_rat__number__collapse_I5_J)).
% 8.42/2.12  tff(f46501,plain,(
% 8.42/2.12    aa(num,num,bit0,one2) = aa(num,num,aa(num,fun(num,num),plus_plus(num),one2),one2)),
% 8.42/2.12    inference(cnf_transformation,[],[f101])).
% 8.42/2.12  tff(f101,axiom,(
% 8.42/2.12    aa(num,num,bit0,one2) = aa(num,num,aa(num,fun(num,num),plus_plus(num),one2),one2)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_100_semiring__norm_I2_J)).
% 8.42/2.12  tff(f46500,plain,(
% 8.42/2.12    set_ord_atMost(nat,zero_zero(nat)) = aa(set(nat),set(nat),insert(nat,zero_zero(nat)),bot_bot(set(nat)))),
% 8.42/2.12    inference(cnf_transformation,[],[f4551])).
% 8.42/2.12  tff(f4551,axiom,(
% 8.42/2.12    set_ord_atMost(nat,zero_zero(nat)) = aa(set(nat),set(nat),insert(nat,zero_zero(nat)),bot_bot(set(nat)))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4550_atMost__0)).
% 8.42/2.12  tff(f46499,plain,(
% 8.42/2.12    zero_zero(real) = cos(real,divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))),
% 8.42/2.12    inference(cnf_transformation,[],[f2963])).
% 8.42/2.12  tff(f2963,axiom,(
% 8.42/2.12    zero_zero(real) = cos(real,divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2962_cos__pi__half)).
% 8.42/2.12  tff(f46498,plain,(
% 8.42/2.12    one_one(real) = sin(real,divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))),
% 8.42/2.12    inference(cnf_transformation,[],[f2965])).
% 8.42/2.12  tff(f2965,axiom,(
% 8.42/2.12    one_one(real) = sin(real,divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2964_sin__pi__half)).
% 8.42/2.12  tff(f46497,plain,(
% 8.42/2.12    vEBT_VEBT_high(za,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = pr),
% 8.42/2.12    inference(cnf_transformation,[],[f1])).
% 8.42/2.12  tff(f1,axiom,(
% 8.42/2.12    vEBT_VEBT_high(za,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = pr),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_True)).
% 8.42/2.12  tff(f46496,plain,(
% 8.42/2.12    aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)) = aa(nat,nat,suc,one_one(nat))),
% 8.42/2.12    inference(cnf_transformation,[],[f485])).
% 8.42/2.12  tff(f485,axiom,(
% 8.42/2.12    aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)) = aa(nat,nat,suc,one_one(nat))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_484_Suc__1)).
% 8.42/2.12  tff(f46495,plain,(
% 8.42/2.12    aa(nat,option(nat),some(nat),maxy) = vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),pr))),
% 8.42/2.12    inference(cnf_transformation,[],[f301])).
% 8.42/2.12  tff(f301,axiom,(
% 8.42/2.12    aa(nat,option(nat),some(nat),maxy) = vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),pr))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_300__092_060open_062Some_Amaxy_A_061_Avebt__maxt_A_ItreeList_A_B_Apr_J_092_060close_062)).
% 8.42/2.12  tff(f46494,plain,(
% 8.42/2.12    none(num) = aa(num,option(num),aa(num,fun(num,option(num)),bit_un2480387367778600638or_num,one2),one2)),
% 8.42/2.12    inference(cnf_transformation,[],[f6009])).
% 8.42/2.12  tff(f6009,axiom,(
% 8.42/2.12    none(num) = aa(num,option(num),aa(num,fun(num,option(num)),bit_un2480387367778600638or_num,one2),one2)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6008_xor__num_Osimps_I1_J)).
% 8.42/2.12  tff(f46493,plain,(
% 8.42/2.12    pr = vEBT_VEBT_high(res,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),
% 8.42/2.12    inference(cnf_transformation,[],[f9])).
% 8.42/2.12  tff(f9,axiom,(
% 8.42/2.12    pr = vEBT_VEBT_high(res,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8__092_060open_062high_Ares_A_Ideg_Adiv_A2_J_A_061_Apr_092_060close_062)).
% 8.42/2.12  tff(f46492,plain,(
% 8.42/2.12    filterlim(real,real,tanh(real),topolo7230453075368039082e_nhds(real,aa(real,real,uminus_uminus(real),one_one(real))),at_bot(real))),
% 8.42/2.12    inference(cnf_transformation,[],[f7266])).
% 8.42/2.12  tff(f7266,axiom,(
% 8.42/2.12    filterlim(real,real,tanh(real),topolo7230453075368039082e_nhds(real,aa(real,real,uminus_uminus(real),one_one(real))),at_bot(real))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7265_tanh__real__at__bot)).
% 8.42/2.12  tff(f46491,plain,(
% 8.42/2.12    divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))) = arg(imaginary_unit)),
% 8.42/2.12    inference(cnf_transformation,[],[f3824])).
% 8.42/2.12  tff(f3824,axiom,(
% 8.42/2.12    divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))) = arg(imaginary_unit)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3823_Arg__ii)).
% 8.42/2.12  tff(f46490,plain,(
% 8.42/2.12    imaginary_unit = cis(divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))),
% 8.42/2.12    inference(cnf_transformation,[],[f3843])).
% 8.42/2.12  tff(f3843,axiom,(
% 8.42/2.12    imaginary_unit = cis(divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3842_cis__pi__half)).
% 8.42/2.12  tff(f46489,plain,(
% 8.42/2.12    zero_zero(real) != divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))),
% 8.42/2.12    inference(cnf_transformation,[],[f2930])).
% 8.42/2.12  tff(f2930,axiom,(
% 8.42/2.12    zero_zero(real) != divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2929_pi__half__neq__zero)).
% 8.42/2.12  tff(f46488,plain,(
% 8.42/2.12    filterlim(real,real,artanh(real),at_top(real),topolo174197925503356063within(real,one_one(real),set_ord_lessThan(real,one_one(real))))),
% 8.42/2.12    inference(cnf_transformation,[],[f7174])).
% 8.42/2.12  tff(f7174,axiom,(
% 8.42/2.12    filterlim(real,real,artanh(real),at_top(real),topolo174197925503356063within(real,one_one(real),set_ord_lessThan(real,one_one(real))))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7173_artanh__real__at__left__1)).
% 8.42/2.12  tff(f46487,plain,(
% 8.42/2.12    topolo81223032696312382ous_on(real,real,set_or1337092689740270186AtMost(real,aa(real,real,uminus_uminus(real),one_one(real)),one_one(real)),arccos)),
% 8.42/2.12    inference(cnf_transformation,[],[f7562])).
% 8.42/2.12  tff(f7562,axiom,(
% 8.42/2.12    topolo81223032696312382ous_on(real,real,set_or1337092689740270186AtMost(real,aa(real,real,uminus_uminus(real),one_one(real)),one_one(real)),arccos)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7561_continuous__on__arccos_H)).
% 8.42/2.12  tff(f46486,plain,(
% 8.42/2.12    topolo81223032696312382ous_on(real,real,set_or1337092689740270186AtMost(real,aa(real,real,uminus_uminus(real),one_one(real)),one_one(real)),arcsin)),
% 8.42/2.12    inference(cnf_transformation,[],[f7563])).
% 8.42/2.12  tff(f7563,axiom,(
% 8.42/2.12    topolo81223032696312382ous_on(real,real,set_or1337092689740270186AtMost(real,aa(real,real,uminus_uminus(real),one_one(real)),one_one(real)),arcsin)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7562_continuous__on__arcsin_H)).
% 8.42/2.12  tff(f46485,plain,(
% 8.42/2.12    divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))) = na),
% 8.42/2.12    inference(cnf_transformation,[],[f10])).
% 8.42/2.12  tff(f10,axiom,(
% 8.42/2.12    divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))) = na),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9__092_060open_062deg_Adiv_A2_A_061_An_092_060close_062)).
% 8.42/2.12  tff(f46484,plain,(
% 8.42/2.12    field_char_0_Rats(real) = aa(fun(real,$o),set(real),collect(real),aTP_Lamp_oi(real,$o))),
% 8.42/2.12    inference(cnf_transformation,[],[f6041])).
% 8.42/2.12  tff(f6041,axiom,(
% 8.42/2.12    field_char_0_Rats(real) = aa(fun(real,$o),set(real),collect(real),aTP_Lamp_oi(real,$o))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6040_Rats__eq__int__div__nat)).
% 8.42/2.12  tff(f46483,plain,(
% 8.42/2.12    field_char_0_Rats(real) = aa(fun(real,$o),set(real),collect(real),aTP_Lamp_oj(real,$o))),
% 8.42/2.12    inference(cnf_transformation,[],[f6073])).
% 8.42/2.12  tff(f6073,axiom,(
% 8.42/2.12    field_char_0_Rats(real) = aa(fun(real,$o),set(real),collect(real),aTP_Lamp_oj(real,$o))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6072_Rats__eq__int__div__int)).
% 8.42/2.12  tff(f46482,plain,(
% 8.42/2.12    sqrt = root(aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),
% 8.42/2.12    inference(cnf_transformation,[],[f4137])).
% 8.42/2.12  tff(f4137,axiom,(
% 8.42/2.12    sqrt = root(aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4136_sqrt__def)).
% 8.42/2.12  tff(f46481,plain,(
% 8.42/2.12    zero_zero(real) != cos(real,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))),
% 8.42/2.12    inference(cnf_transformation,[],[f3016])).
% 8.42/2.12  tff(f3016,axiom,(
% 8.42/2.12    zero_zero(real) != cos(real,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3015_cos__two__neq__zero)).
% 8.42/2.12  tff(f46480,plain,(
% 8.42/2.12    deg = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),na),m)),
% 8.42/2.12    inference(cnf_transformation,[],[f51])).
% 8.42/2.12  tff(f51,axiom,(
% 8.42/2.12    deg = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),na),m)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_50__C4_Ohyps_C_I6_J)).
% 8.42/2.12  tff(f46479,plain,(
% 8.42/2.12    aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)) = suc),
% 8.42/2.12    inference(cnf_transformation,[],[f548])).
% 8.42/2.12  tff(f548,axiom,(
% 8.42/2.12    aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)) = suc),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_547_plus__1__eq__Suc)).
% 8.42/2.12  tff(f46478,plain,(
% 8.42/2.12    aa(num,nat,numeral_numeral(nat),one2) = aa(nat,nat,suc,zero_zero(nat))),
% 8.42/2.12    inference(cnf_transformation,[],[f1206])).
% 8.42/2.12  tff(f1206,axiom,(
% 8.42/2.12    aa(num,nat,numeral_numeral(nat),one2) = aa(nat,nat,suc,zero_zero(nat))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1205_numeral__1__eq__Suc__0)).
% 8.42/2.12  tff(f46477,plain,(
% 8.42/2.12    pi = aa(real,real,arccos,aa(real,real,uminus_uminus(real),one_one(real)))),
% 8.42/2.12    inference(cnf_transformation,[],[f3338])).
% 8.42/2.12  tff(f3338,axiom,(
% 8.42/2.12    pi = aa(real,real,arccos,aa(real,real,uminus_uminus(real),one_one(real)))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3337_arccos__minus__1)).
% 8.42/2.12  tff(f46476,plain,(
% 8.42/2.12    vEBT_VEBT_mul = vEBT_V2048590022279873568_shift(nat,times_times(nat))),
% 8.42/2.12    inference(cnf_transformation,[],[f463])).
% 8.42/2.12  tff(f463,axiom,(
% 8.42/2.12    vEBT_VEBT_mul = vEBT_V2048590022279873568_shift(nat,times_times(nat))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_462_mul__def)).
% 8.42/2.12  tff(f46475,plain,(
% 8.42/2.12    vEBT_VEBT_add = vEBT_V2048590022279873568_shift(nat,plus_plus(nat))),
% 8.42/2.12    inference(cnf_transformation,[],[f462])).
% 8.42/2.12  tff(f462,axiom,(
% 8.42/2.12    vEBT_VEBT_add = vEBT_V2048590022279873568_shift(nat,plus_plus(nat))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_461_add__def)).
% 8.42/2.12  tff(f46474,plain,(
% 8.42/2.12    vEBT_VEBT_power = vEBT_V2048590022279873568_shift(nat,power_power(nat))),
% 8.42/2.12    inference(cnf_transformation,[],[f445])).
% 8.42/2.12  tff(f445,axiom,(
% 8.42/2.12    vEBT_VEBT_power = vEBT_V2048590022279873568_shift(nat,power_power(nat))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_444_local_Opower__def)).
% 8.42/2.12  tff(f46473,plain,(
% 8.42/2.12    vEBT_VEBT_set_vebt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),pr)) != bot_bot(set(nat))),
% 8.42/2.12    inference(cnf_transformation,[],[f90])).
% 8.42/2.12  tff(f90,axiom,(
% 8.42/2.12    vEBT_VEBT_set_vebt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),pr)) != bot_bot(set(nat))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_89_fgh)).
% 8.42/2.12  tff(f46472,plain,(
% 8.42/2.12    filterlim(nat,real,aTP_Lamp_ye(nat,real),topolo7230453075368039082e_nhds(real,zero_zero(real)),at_top(nat))),
% 8.42/2.12    inference(cnf_transformation,[],[f7044])).
% 8.42/2.12  tff(f7044,axiom,(
% 8.42/2.12    filterlim(nat,real,aTP_Lamp_ye(nat,real),topolo7230453075368039082e_nhds(real,zero_zero(real)),at_top(nat))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7043_lim__inverse__n_H)).
% 8.42/2.12  tff(f46471,plain,(
% 8.42/2.12    filterlim(nat,real,aTP_Lamp_xx(nat,real),topolo7230453075368039082e_nhds(real,one_one(real)),at_top(nat))),
% 8.42/2.12    inference(cnf_transformation,[],[f7036])).
% 8.42/2.12  tff(f7036,axiom,(
% 8.42/2.12    filterlim(nat,real,aTP_Lamp_xx(nat,real),topolo7230453075368039082e_nhds(real,one_one(real)),at_top(nat))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7035_LIMSEQ__root)).
% 8.42/2.12  tff(f46470,plain,(
% 8.42/2.12    zero_zero(nat) = aa(set(nat),nat,complete_Sup_Sup(nat),bot_bot(set(nat)))),
% 8.42/2.12    inference(cnf_transformation,[],[f5349])).
% 8.42/2.12  tff(f5349,axiom,(
% 8.42/2.12    zero_zero(nat) = aa(set(nat),nat,complete_Sup_Sup(nat),bot_bot(set(nat)))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5348_Sup__nat__empty)).
% 8.42/2.12  tff(f46469,plain,(
% 8.42/2.12    one_one(nat) = aa(set(product_unit),nat,finite_card(product_unit),top_top(set(product_unit)))),
% 8.42/2.12    inference(cnf_transformation,[],[f6345])).
% 8.42/2.12  tff(f6345,axiom,(
% 8.42/2.12    one_one(nat) = aa(set(product_unit),nat,finite_card(product_unit),top_top(set(product_unit)))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6344_card__UNIV__unit)).
% 8.42/2.12  tff(f46468,plain,(
% 8.42/2.12    filterlim(real,real,tanh(real),topolo7230453075368039082e_nhds(real,one_one(real)),at_top(real))),
% 8.42/2.12    inference(cnf_transformation,[],[f7170])).
% 8.42/2.12  tff(f7170,axiom,(
% 8.42/2.12    filterlim(real,real,tanh(real),topolo7230453075368039082e_nhds(real,one_one(real)),at_top(real))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7169_tanh__real__at__top)).
% 8.42/2.12  tff(f46467,plain,(
% 8.42/2.12    aa(real,real,uminus_uminus(real),one_one(real)) = cos(real,pi)),
% 8.42/2.12    inference(cnf_transformation,[],[f2951])).
% 8.42/2.12  tff(f2951,axiom,(
% 8.42/2.12    aa(real,real,uminus_uminus(real),one_one(real)) = cos(real,pi)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2950_cos__pi)).
% 8.42/2.12  tff(f46466,plain,(
% 8.42/2.12    zero_zero(nat) = aa(set(nat),nat,nat_set_encode,bot_bot(set(nat)))),
% 8.42/2.12    inference(cnf_transformation,[],[f4173])).
% 8.42/2.12  tff(f4173,axiom,(
% 8.42/2.12    zero_zero(nat) = aa(set(nat),nat,nat_set_encode,bot_bot(set(nat)))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4172_set__encode__empty)).
% 8.42/2.12  tff(f46465,plain,(
% 8.42/2.12    bit_un4731106466462545111um_rel = bit_un5425074673868309765um_rel),
% 8.42/2.12    inference(cnf_transformation,[],[f6039])).
% 8.42/2.12  tff(f6039,axiom,(
% 8.42/2.12    bit_un4731106466462545111um_rel = bit_un5425074673868309765um_rel),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6038_and__num__rel__dict)).
% 8.42/2.12  tff(f46464,plain,(
% 8.42/2.12    bit_un2901131394128224187um_rel = bit_un3595099601533988841um_rel),
% 8.42/2.12    inference(cnf_transformation,[],[f6024])).
% 8.42/2.12  tff(f6024,axiom,(
% 8.42/2.12    bit_un2901131394128224187um_rel = bit_un3595099601533988841um_rel),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6023_xor__num__rel__dict)).
% 8.42/2.12  tff(f46463,plain,(
% 8.42/2.12    aa(complex,complex,uminus_uminus(complex),one_one(complex)) = cis(pi)),
% 8.42/2.12    inference(cnf_transformation,[],[f3836])).
% 8.42/2.12  tff(f3836,axiom,(
% 8.42/2.12    aa(complex,complex,uminus_uminus(complex),one_one(complex)) = cis(pi)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3835_cis__pi)).
% 8.42/2.12  tff(f46462,plain,(
% 8.42/2.12    aa(nat,nat,suc,zero_zero(nat)) = nat2(one_one(int))),
% 8.42/2.12    inference(cnf_transformation,[],[f4238])).
% 8.42/2.12  tff(f4238,axiom,(
% 8.42/2.12    aa(nat,nat,suc,zero_zero(nat)) = nat2(one_one(int))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4237_nat__1)).
% 8.42/2.12  tff(f46461,plain,(
% 8.42/2.12    one_one(int) = aa(nat,int,semiring_1_of_nat(int),one_one(nat))),
% 8.42/2.12    inference(cnf_transformation,[],[f2692])).
% 8.42/2.12  tff(f2692,axiom,(
% 8.42/2.12    one_one(int) = aa(nat,int,semiring_1_of_nat(int),one_one(nat))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2691_int__ops_I2_J)).
% 8.42/2.12  tff(f46460,plain,(
% 8.42/2.12    bot_bot(set(nat)) = set_ord_lessThan(nat,zero_zero(nat))),
% 8.42/2.12    inference(cnf_transformation,[],[f2831])).
% 8.42/2.12  tff(f2831,axiom,(
% 8.42/2.12    bot_bot(set(nat)) = set_ord_lessThan(nat,zero_zero(nat))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2830_lessThan__0)).
% 8.42/2.12  tff(f46459,plain,(
% 8.42/2.12    zero_zero(nat) = aa(num,nat,size_size(num),one2)),
% 8.42/2.12    inference(cnf_transformation,[],[f934])).
% 8.42/2.12  tff(f934,axiom,(
% 8.42/2.12    zero_zero(nat) = aa(num,nat,size_size(num),one2)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_933_num_Osize_I4_J)).
% 8.42/2.12  tff(f46458,plain,(
% 8.42/2.12    zero_zero(real) = aa(real,real,sqrt,zero_zero(real))),
% 8.42/2.12    inference(cnf_transformation,[],[f3160])).
% 8.42/2.12  tff(f3160,axiom,(
% 8.42/2.12    zero_zero(real) = aa(real,real,sqrt,zero_zero(real))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3159_real__sqrt__zero)).
% 8.42/2.12  tff(f46457,plain,(
% 8.42/2.12    zero_zero(real) = aa(real,real,arccos,one_one(real))),
% 8.42/2.12    inference(cnf_transformation,[],[f3337])).
% 8.42/2.12  tff(f3337,axiom,(
% 8.42/2.12    zero_zero(real) = aa(real,real,arccos,one_one(real))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3336_arccos__1)).
% 8.42/2.12  tff(f46456,plain,(
% 8.42/2.12    one_one(nat) = aa(nat,nat,suc,zero_zero(nat))),
% 8.42/2.12    inference(cnf_transformation,[],[f1108])).
% 8.42/2.12  tff(f1108,axiom,(
% 8.42/2.12    one_one(nat) = aa(nat,nat,suc,zero_zero(nat))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1107_One__nat__def)).
% 8.42/2.12  tff(f46455,plain,(
% 8.42/2.12    one_one(nat) = aa(num,nat,numeral_numeral(nat),one2)),
% 8.42/2.12    inference(cnf_transformation,[],[f390])).
% 8.42/2.12  tff(f390,axiom,(
% 8.42/2.12    one_one(nat) = aa(num,nat,numeral_numeral(nat),one2)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_389_numerals_I1_J)).
% 8.42/2.12  tff(f46454,plain,(
% 8.42/2.12    one_one(real) = aa(real,real,sqrt,one_one(real))),
% 8.42/2.12    inference(cnf_transformation,[],[f3164])).
% 8.42/2.12  tff(f3164,axiom,(
% 8.42/2.12    one_one(real) = aa(real,real,sqrt,one_one(real))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3163_real__sqrt__one)).
% 8.42/2.12  tff(f46453,plain,(
% 8.42/2.12    ord_max(nat) = sup_sup(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f6683])).
% 8.42/2.12  tff(f6683,axiom,(
% 8.42/2.12    ord_max(nat) = sup_sup(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6682_sup__nat__def)).
% 8.42/2.12  tff(f46452,plain,(
% 8.42/2.12    ord_max(extended_enat) = sup_sup(extended_enat)),
% 8.42/2.12    inference(cnf_transformation,[],[f6684])).
% 8.42/2.12  tff(f6684,axiom,(
% 8.42/2.12    ord_max(extended_enat) = sup_sup(extended_enat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6683_sup__enat__def)).
% 8.42/2.12  tff(f46451,plain,(
% 8.42/2.12    filterlim(real,real,sqrt,at_top(real),at_top(real))),
% 8.42/2.12    inference(cnf_transformation,[],[f7166])).
% 8.42/2.12  tff(f7166,axiom,(
% 8.42/2.12    filterlim(real,real,sqrt,at_top(real),at_top(real))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7165_sqrt__at__top)).
% 8.42/2.12  tff(f46450,plain,(
% 8.42/2.12    aa(num,num,bit0,one2) = inc(one2)),
% 8.42/2.12    inference(cnf_transformation,[],[f4429])).
% 8.42/2.12  tff(f4429,axiom,(
% 8.42/2.12    aa(num,num,bit0,one2) = inc(one2)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4428_inc_Osimps_I1_J)).
% 8.42/2.12  tff(f46449,plain,(
% 8.42/2.12    bot_bot(set(nat)) = nat_set_decode(zero_zero(nat))),
% 8.42/2.12    inference(cnf_transformation,[],[f1822])).
% 8.42/2.12  tff(f1822,axiom,(
% 8.42/2.12    bot_bot(set(nat)) = nat_set_decode(zero_zero(nat))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1821_set__decode__zero)).
% 8.42/2.12  tff(f46448,plain,(
% 8.42/2.12    zero_zero(rat) = fract(zero_zero(int),one_one(int))),
% 8.42/2.12    inference(cnf_transformation,[],[f6068])).
% 8.42/2.12  tff(f6068,axiom,(
% 8.42/2.12    zero_zero(rat) = fract(zero_zero(int),one_one(int))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6067_Zero__rat__def)).
% 8.42/2.12  tff(f46447,plain,(
% 8.42/2.12    one_one(complex) = complex2(one_one(real),zero_zero(real))),
% 8.42/2.12    inference(cnf_transformation,[],[f3105])).
% 8.42/2.12  tff(f3105,axiom,(
% 8.42/2.12    one_one(complex) = complex2(one_one(real),zero_zero(real))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3104_one__complex_Ocode)).
% 8.42/2.12  tff(f46446,plain,(
% 8.42/2.12    one_one(code_integer) = aa(num,code_integer,code_integer_of_num,one2)),
% 8.42/2.12    inference(cnf_transformation,[],[f5032])).
% 8.42/2.12  tff(f5032,axiom,(
% 8.42/2.12    one_one(code_integer) = aa(num,code_integer,code_integer_of_num,one2)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5031_integer__of__num__triv_I1_J)).
% 8.42/2.12  tff(f46445,plain,(
% 8.42/2.12    one_one(rat) = fract(one_one(int),one_one(int))),
% 8.42/2.12    inference(cnf_transformation,[],[f6065])).
% 8.42/2.12  tff(f6065,axiom,(
% 8.42/2.12    one_one(rat) = fract(one_one(int),one_one(int))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6064_One__rat__def)).
% 8.42/2.12  tff(f46444,plain,(
% 8.42/2.12    bit_un2480387367778600638or_num = bit_un6178654185764691216or_num),
% 8.42/2.12    inference(cnf_transformation,[],[f6040])).
% 8.42/2.12  tff(f6040,axiom,(
% 8.42/2.12    bit_un2480387367778600638or_num = bit_un6178654185764691216or_num),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6039_xor__num__dict)).
% 8.42/2.12  tff(f46443,plain,(
% 8.42/2.12    bit_un7362597486090784418nd_num = bit_un1837492267222099188nd_num),
% 8.42/2.12    inference(cnf_transformation,[],[f6038])).
% 8.42/2.12  tff(f6038,axiom,(
% 8.42/2.12    bit_un7362597486090784418nd_num = bit_un1837492267222099188nd_num),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6037_and__num__dict)).
% 8.42/2.12  tff(f46442,plain,(
% 8.42/2.12    sums(real,aTP_Lamp_ev(nat,real),one_one(real))),
% 8.42/2.12    inference(cnf_transformation,[],[f3259])).
% 8.42/2.12  tff(f3259,axiom,(
% 8.42/2.12    sums(real,aTP_Lamp_ev(nat,real),one_one(real))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3258_power__half__series)).
% 8.42/2.12  tff(f46441,plain,(
% 8.42/2.12    none(num) = bit_and_not_num(one2,one2)),
% 8.42/2.12    inference(cnf_transformation,[],[f5939])).
% 8.42/2.12  tff(f5939,axiom,(
% 8.42/2.12    none(num) = bit_and_not_num(one2,one2)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5938_and__not__num_Osimps_I1_J)).
% 8.42/2.12  tff(f46440,plain,(
% 8.42/2.12    imaginary_unit = complex2(zero_zero(real),one_one(real))),
% 8.42/2.12    inference(cnf_transformation,[],[f3807])).
% 8.42/2.12  tff(f3807,axiom,(
% 8.42/2.12    imaginary_unit = complex2(zero_zero(real),one_one(real))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3806_imaginary__unit_Ocode)).
% 8.42/2.12  tff(f46439,plain,(
% 8.42/2.12    zero_zero(real) = im(one_one(complex))),
% 8.42/2.12    inference(cnf_transformation,[],[f5146])).
% 8.42/2.12  tff(f5146,axiom,(
% 8.42/2.12    zero_zero(real) = im(one_one(complex))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5145_one__complex_Osimps_I2_J)).
% 8.42/2.12  tff(f46438,plain,(
% 8.42/2.12    numeral_numeral(int) = code_Target_positive),
% 8.42/2.12    inference(cnf_transformation,[],[f4998])).
% 8.42/2.12  tff(f4998,axiom,(
% 8.42/2.12    numeral_numeral(int) = code_Target_positive),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4997_Code__Target__Int_Opositive__def)).
% 8.42/2.12  tff(f46437,plain,(
% 8.42/2.12    numeral_numeral(code_integer) = code_integer_of_num),
% 8.42/2.12    inference(cnf_transformation,[],[f5030])).
% 8.42/2.12  tff(f5030,axiom,(
% 8.42/2.12    numeral_numeral(code_integer) = code_integer_of_num),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5029_integer__of__num__def)).
% 8.42/2.12  tff(f46436,plain,(
% 8.42/2.12    numeral_numeral(code_integer) = code_positive),
% 8.42/2.12    inference(cnf_transformation,[],[f5014])).
% 8.42/2.12  tff(f5014,axiom,(
% 8.42/2.12    numeral_numeral(code_integer) = code_positive),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5013_Code__Numeral_Opositive__def)).
% 8.42/2.12  tff(f46435,plain,(
% 8.42/2.12    one_one(nat) = nat2(one_one(int))),
% 8.42/2.12    inference(cnf_transformation,[],[f4289])).
% 8.42/2.12  tff(f4289,axiom,(
% 8.42/2.12    one_one(nat) = nat2(one_one(int))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4288_nat__one__as__int)).
% 8.42/2.12  tff(f46434,plain,(
% 8.42/2.12    one_one(nat) = code_nat_of_integer(one_one(code_integer))),
% 8.42/2.12    inference(cnf_transformation,[],[f5041])).
% 8.42/2.12  tff(f5041,axiom,(
% 8.42/2.12    one_one(nat) = code_nat_of_integer(one_one(code_integer))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5040_nat__of__integer__code__post_I2_J)).
% 8.42/2.12  tff(f46433,plain,(
% 8.42/2.12    one_one(real) = real_V7770717601297561774m_norm(complex,imaginary_unit)),
% 8.42/2.12    inference(cnf_transformation,[],[f3771])).
% 8.42/2.12  tff(f3771,axiom,(
% 8.42/2.12    one_one(real) = real_V7770717601297561774m_norm(complex,imaginary_unit)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3770_norm__ii)).
% 8.42/2.12  tff(f46432,plain,(
% 8.42/2.12    one_one(real) = re(one_one(complex))),
% 8.42/2.12    inference(cnf_transformation,[],[f5064])).
% 8.42/2.12  tff(f5064,axiom,(
% 8.42/2.12    one_one(real) = re(one_one(complex))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5063_one__complex_Osimps_I1_J)).
% 8.42/2.12  tff(f46431,plain,(
% 8.42/2.12    one_one(real) = cos_coeff(zero_zero(nat))),
% 8.42/2.12    inference(cnf_transformation,[],[f2873])).
% 8.42/2.12  tff(f2873,axiom,(
% 8.42/2.12    one_one(real) = cos_coeff(zero_zero(nat))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2872_cos__coeff__0)).
% 8.42/2.12  tff(f46430,plain,(
% 8.42/2.12    one_one(int) = code_int_of_integer(one_one(code_integer))),
% 8.42/2.12    inference(cnf_transformation,[],[f5026])).
% 8.42/2.12  tff(f5026,axiom,(
% 8.42/2.12    one_one(int) = code_int_of_integer(one_one(code_integer))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5025_one__integer_Orep__eq)).
% 8.42/2.12  tff(f46429,plain,(
% 8.42/2.12    one_one(complex) = cnj(one_one(complex))),
% 8.42/2.12    inference(cnf_transformation,[],[f5216])).
% 8.42/2.12  tff(f5216,axiom,(
% 8.42/2.12    one_one(complex) = cnj(one_one(complex))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5215_complex__cnj__one)).
% 8.42/2.12  tff(f46428,plain,(
% 8.42/2.12    one_one(complex) = cis(zero_zero(real))),
% 8.42/2.12    inference(cnf_transformation,[],[f3829])).
% 8.42/2.12  tff(f3829,axiom,(
% 8.42/2.12    one_one(complex) = cis(zero_zero(real))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3828_cis__zero)).
% 8.42/2.12  tff(f46427,plain,(
% 8.42/2.12    one_one(complex) = csqrt(one_one(complex))),
% 8.42/2.12    inference(cnf_transformation,[],[f4104])).
% 8.42/2.12  tff(f4104,axiom,(
% 8.42/2.12    one_one(complex) = csqrt(one_one(complex))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4103_csqrt__1)).
% 8.42/2.12  tff(f46426,plain,(
% 8.42/2.12    one_one(code_integer) = code_integer_of_int(one_one(int))),
% 8.42/2.12    inference(cnf_transformation,[],[f5017])).
% 8.42/2.12  tff(f5017,axiom,(
% 8.42/2.12    one_one(code_integer) = code_integer_of_int(one_one(int))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5016_one__integer__def)).
% 8.42/2.12  tff(f46425,plain,(
% 8.42/2.12    zero_zero(nat) = bot_bot(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f1672])).
% 8.42/2.12  tff(f1672,axiom,(
% 8.42/2.12    zero_zero(nat) = bot_bot(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1671_bot__nat__def)).
% 8.42/2.12  tff(f46424,plain,(
% 8.42/2.12    zero_zero(nat) = pred_numeral(one2)),
% 8.42/2.12    inference(cnf_transformation,[],[f2530])).
% 8.42/2.12  tff(f2530,axiom,(
% 8.42/2.12    zero_zero(nat) = pred_numeral(one2)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2529_pred__numeral__simps_I1_J)).
% 8.42/2.12  tff(f46423,plain,(
% 8.42/2.12    zero_zero(nat) = size_num(one2)),
% 8.42/2.12    inference(cnf_transformation,[],[f4209])).
% 8.42/2.12  tff(f4209,axiom,(
% 8.42/2.12    zero_zero(nat) = size_num(one2)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4208_num_Osize__gen_I1_J)).
% 8.42/2.12  tff(f46422,plain,(
% 8.42/2.12    zero_zero(extended_enat) = bot_bot(extended_enat)),
% 8.42/2.12    inference(cnf_transformation,[],[f1673])).
% 8.42/2.12  tff(f1673,axiom,(
% 8.42/2.12    zero_zero(extended_enat) = bot_bot(extended_enat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1672_bot__enat__def)).
% 8.42/2.12  tff(f46420,plain,(
% 8.42/2.12    one_one(real) = im(imaginary_unit)),
% 8.42/2.12    inference(cnf_transformation,[],[f5145])).
% 8.42/2.12  tff(f5145,axiom,(
% 8.42/2.12    one_one(real) = im(imaginary_unit)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5144_imaginary__unit_Osimps_I2_J)).
% 8.42/2.12  tff(f46418,plain,(
% 8.42/2.12    one2 = bit_or_not_num_neg(one2,one2)),
% 8.42/2.12    inference(cnf_transformation,[],[f4676])).
% 8.42/2.12  tff(f4676,axiom,(
% 8.42/2.12    one2 = bit_or_not_num_neg(one2,one2)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4675_or__not__num__neg_Osimps_I1_J)).
% 8.42/2.12  tff(f46417,plain,(
% 8.42/2.12    one2 = num_of_nat(zero_zero(nat))),
% 8.42/2.12    inference(cnf_transformation,[],[f5865])).
% 8.42/2.12  tff(f5865,axiom,(
% 8.42/2.12    one2 = num_of_nat(zero_zero(nat))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5864_num__of__nat_Osimps_I1_J)).
% 8.42/2.12  tff(f46416,plain,(
% 8.42/2.12    zero_zero(extended_enat) != one_one(extended_enat)),
% 8.42/2.12    inference(cnf_transformation,[],[f1444])).
% 8.42/2.12  tff(f1444,axiom,(
% 8.42/2.12    zero_zero(extended_enat) != one_one(extended_enat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1443_zero__one__enat__neq_I1_J)).
% 8.42/2.12  tff(f46415,plain,(
% 8.42/2.12    order_mono(nat,nat,suc)),
% 8.42/2.12    inference(cnf_transformation,[],[f7674])).
% 8.42/2.12  tff(f7674,axiom,(
% 8.42/2.12    order_mono(nat,nat,suc)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7673_mono__Suc)).
% 8.42/2.12  tff(f46414,plain,(
% 8.42/2.12    one2 = bitM(one2)),
% 8.42/2.12    inference(cnf_transformation,[],[f3636])).
% 8.42/2.12  tff(f3636,axiom,(
% 8.42/2.12    one2 = bitM(one2)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3635_semiring__norm_I26_J)).
% 8.42/2.12  tff(f46413,plain,(
% 8.42/2.12    one2 = sqr(one2)),
% 8.42/2.12    inference(cnf_transformation,[],[f5886])).
% 8.42/2.12  tff(f5886,axiom,(
% 8.42/2.12    one2 = sqr(one2)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5885_sqr_Osimps_I1_J)).
% 8.42/2.12  tff(f46412,plain,(
% 8.42/2.12    one_one(complex) != imaginary_unit),
% 8.42/2.12    inference(cnf_transformation,[],[f3788])).
% 8.42/2.12  tff(f3788,axiom,(
% 8.42/2.12    one_one(complex) != imaginary_unit),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3787_complex__i__not__one)).
% 8.42/2.12  tff(f46411,plain,(
% 8.42/2.12    vEBT_invar_vebt(summary,m)),
% 8.42/2.12    inference(cnf_transformation,[],[f44])).
% 8.42/2.12  tff(f44,axiom,(
% 8.42/2.12    vEBT_invar_vebt(summary,m)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_43__C4_Ohyps_C_I2_J)).
% 8.42/2.12  tff(f46410,plain,(
% 8.42/2.12    na = m),
% 8.42/2.12    inference(cnf_transformation,[],[f17])).
% 8.42/2.12  tff(f17,axiom,(
% 8.42/2.12    na = m),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_16__C4_Ohyps_C_I5_J)).
% 8.42/2.12  tff(f46409,plain,(
% 8.42/2.12    za != ma),
% 8.42/2.12    inference(cnf_transformation,[],[f52])).
% 8.42/2.12  tff(f52,axiom,(
% 8.42/2.12    za != ma),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_51__092_060open_062z_A_092_060noteq_062_Ama_092_060close_062)).
% 8.42/2.12  tff(f46408,plain,(
% 8.42/2.12    za != mi),
% 8.42/2.12    inference(cnf_transformation,[],[f4])).
% 8.42/2.12  tff(f4,axiom,(
% 8.42/2.12    za != mi),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_False)).
% 8.42/2.12  tff(f46407,plain,(
% 8.42/2.12    mi != ma),
% 8.42/2.12    inference(cnf_transformation,[],[f53])).
% 8.42/2.12  tff(f53,axiom,(
% 8.42/2.12    mi != ma),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_52__092_060open_062mi_A_092_060noteq_062_Ama_092_060close_062)).
% 8.42/2.12  tff(f46406,plain,(
% 8.42/2.12    order(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9285])).
% 8.42/2.12  tff(f9285,axiom,(
% 8.42/2.12    order(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Orderings_Oorder_91)).
% 8.42/2.12  tff(f46405,plain,(
% 8.42/2.12    order(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9563])).
% 8.42/2.12  tff(f9563,axiom,(
% 8.42/2.12    order(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Orderings_Oorder_334)).
% 8.42/2.12  tff(f46404,plain,(
% 8.42/2.12    order($o)),
% 8.42/2.12    inference(cnf_transformation,[],[f9446])).
% 8.42/2.12  tff(f9446,axiom,(
% 8.42/2.12    order($o)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_HOL_Obool___Orderings_Oorder_240)).
% 8.42/2.12  tff(f46403,plain,(
% 8.42/2.12    order(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9183])).
% 8.42/2.12  tff(f9183,axiom,(
% 8.42/2.12    order(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Orderings_Oorder_7)).
% 8.42/2.12  tff(f46402,plain,(
% 8.42/2.12    order(num)),
% 8.42/2.12    inference(cnf_transformation,[],[f9299])).
% 8.42/2.12  tff(f9299,axiom,(
% 8.42/2.12    order(num)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Num_Onum___Orderings_Oorder_104)).
% 8.42/2.12  tff(f46401,plain,(
% 8.42/2.12    order(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9850])).
% 8.42/2.12  tff(f9850,axiom,(
% 8.42/2.12    order(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Orderings_Oorder_620)).
% 8.42/2.12  tff(f46400,plain,(
% 8.42/2.12    order(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9382])).
% 8.42/2.12  tff(f9382,axiom,(
% 8.42/2.12    order(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Orderings_Oorder_178)).
% 8.42/2.12  tff(f46399,plain,(
% 8.42/2.12    order(extended_enat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9728])).
% 8.42/2.12  tff(f9728,axiom,(
% 8.42/2.12    order(extended_enat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Orderings_Oorder_498)).
% 8.42/2.12  tff(f46398,plain,(
% 8.42/2.12    order(product_unit)),
% 8.42/2.12    inference(cnf_transformation,[],[f9763])).
% 8.42/2.12  tff(f9763,axiom,(
% 8.42/2.12    order(product_unit)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Orderings_Oorder_533)).
% 8.42/2.12  tff(f46397,plain,(
% 8.42/2.12    preorder(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9274])).
% 8.42/2.12  tff(f9274,axiom,(
% 8.42/2.12    preorder(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Orderings_Opreorder_80)).
% 8.42/2.12  tff(f46396,plain,(
% 8.42/2.12    preorder(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9548])).
% 8.42/2.12  tff(f9548,axiom,(
% 8.42/2.12    preorder(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Orderings_Opreorder_320)).
% 8.42/2.12  tff(f46395,plain,(
% 8.42/2.12    preorder($o)),
% 8.42/2.12    inference(cnf_transformation,[],[f9443])).
% 8.42/2.12  tff(f9443,axiom,(
% 8.42/2.12    preorder($o)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_HOL_Obool___Orderings_Opreorder_237)).
% 8.42/2.12  tff(f46394,plain,(
% 8.42/2.12    preorder(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9166])).
% 8.42/2.12  tff(f9166,axiom,(
% 8.42/2.12    preorder(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Orderings_Opreorder_5)).
% 8.42/2.12  tff(f46393,plain,(
% 8.42/2.12    preorder(num)),
% 8.42/2.12    inference(cnf_transformation,[],[f9297])).
% 8.42/2.12  tff(f9297,axiom,(
% 8.42/2.12    preorder(num)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Num_Onum___Orderings_Opreorder_102)).
% 8.42/2.12  tff(f46392,plain,(
% 8.42/2.12    preorder(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9838])).
% 8.42/2.12  tff(f9838,axiom,(
% 8.42/2.12    preorder(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Orderings_Opreorder_608)).
% 8.42/2.12  tff(f46391,plain,(
% 8.42/2.12    preorder(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9368])).
% 8.42/2.12  tff(f9368,axiom,(
% 8.42/2.12    preorder(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Orderings_Opreorder_164)).
% 8.42/2.12  tff(f46390,plain,(
% 8.42/2.12    preorder(extended_enat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9720])).
% 8.42/2.12  tff(f9720,axiom,(
% 8.42/2.12    preorder(extended_enat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Orderings_Opreorder_490)).
% 8.42/2.12  tff(f46389,plain,(
% 8.42/2.12    preorder(product_unit)),
% 8.42/2.12    inference(cnf_transformation,[],[f9760])).
% 8.42/2.12  tff(f9760,axiom,(
% 8.42/2.12    preorder(product_unit)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Orderings_Opreorder_530)).
% 8.42/2.12  tff(f46388,plain,(
% 8.42/2.12    ord(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9287])).
% 8.42/2.12  tff(f9287,axiom,(
% 8.42/2.12    ord(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Orderings_Oord_93)).
% 8.42/2.12  tff(f46387,plain,(
% 8.42/2.12    ord(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9568])).
% 8.42/2.12  tff(f9568,axiom,(
% 8.42/2.12    ord(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Orderings_Oord_339)).
% 8.42/2.12  tff(f46386,plain,(
% 8.42/2.12    ord($o)),
% 8.42/2.12    inference(cnf_transformation,[],[f9447])).
% 8.42/2.12  tff(f9447,axiom,(
% 8.42/2.12    ord($o)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_HOL_Obool___Orderings_Oord_241)).
% 8.42/2.12  tff(f46385,plain,(
% 8.42/2.12    ord(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9187])).
% 8.42/2.12  tff(f9187,axiom,(
% 8.42/2.12    ord(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Orderings_Oord_8)).
% 8.42/2.12  tff(f46384,plain,(
% 8.42/2.12    ord(num)),
% 8.42/2.12    inference(cnf_transformation,[],[f9300])).
% 8.42/2.12  tff(f9300,axiom,(
% 8.42/2.12    ord(num)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Num_Onum___Orderings_Oord_105)).
% 8.42/2.12  tff(f46383,plain,(
% 8.42/2.12    ord(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9854])).
% 8.42/2.12  tff(f9854,axiom,(
% 8.42/2.12    ord(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Orderings_Oord_624)).
% 8.42/2.12  tff(f46382,plain,(
% 8.42/2.12    ord(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9387])).
% 8.42/2.12  tff(f9387,axiom,(
% 8.42/2.12    ord(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Orderings_Oord_182)).
% 8.42/2.12  tff(f46381,plain,(
% 8.42/2.12    ord(extended_enat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9730])).
% 8.42/2.12  tff(f9730,axiom,(
% 8.42/2.12    ord(extended_enat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Orderings_Oord_500)).
% 8.42/2.12  tff(f46380,plain,(
% 8.42/2.12    ord(product_unit)),
% 8.42/2.12    inference(cnf_transformation,[],[f9764])).
% 8.42/2.12  tff(f9764,axiom,(
% 8.42/2.12    ord(product_unit)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Orderings_Oord_534)).
% 8.42/2.12  tff(f46379,plain,(
% 8.42/2.12    minus(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9289])).
% 8.42/2.12  tff(f9289,axiom,(
% 8.42/2.12    minus(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Ominus_95)).
% 8.42/2.12  tff(f46378,plain,(
% 8.42/2.12    minus(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9572])).
% 8.42/2.12  tff(f9572,axiom,(
% 8.42/2.12    minus(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Ominus_343)).
% 8.42/2.12  tff(f46377,plain,(
% 8.42/2.12    minus($o)),
% 8.42/2.12    inference(cnf_transformation,[],[f9450])).
% 8.42/2.12  tff(f9450,axiom,(
% 8.42/2.12    minus($o)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_HOL_Obool___Groups_Ominus_244)).
% 8.42/2.12  tff(f46376,plain,(
% 8.42/2.12    minus(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9191])).
% 8.42/2.12  tff(f9191,axiom,(
% 8.42/2.12    minus(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Ominus_10)).
% 8.42/2.12  tff(f46375,plain,(
% 8.42/2.12    minus(complex)),
% 8.42/2.12    inference(cnf_transformation,[],[f9670])).
% 8.42/2.12  tff(f9670,axiom,(
% 8.42/2.12    minus(complex)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Ominus_441)).
% 8.42/2.12  tff(f46374,plain,(
% 8.42/2.12    minus(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9858])).
% 8.42/2.12  tff(f9858,axiom,(
% 8.42/2.12    minus(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Ominus_628)).
% 8.42/2.12  tff(f46373,plain,(
% 8.42/2.12    minus(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9391])).
% 8.42/2.12  tff(f9391,axiom,(
% 8.42/2.12    minus(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Ominus_186)).
% 8.42/2.12  tff(f46372,plain,(
% 8.42/2.12    minus(extended_enat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9732])).
% 8.42/2.12  tff(f9732,axiom,(
% 8.42/2.12    minus(extended_enat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Ominus_502)).
% 8.42/2.12  tff(f46371,plain,(
% 8.42/2.12    minus(product_unit)),
% 8.42/2.12    inference(cnf_transformation,[],[f9767])).
% 8.42/2.12  tff(f9767,axiom,(
% 8.42/2.12    minus(product_unit)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Groups_Ominus_537)).
% 8.42/2.12  tff(f46370,plain,(
% 8.42/2.12    semilattice_sup(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9248])).
% 8.42/2.12  tff(f9248,axiom,(
% 8.42/2.12    semilattice_sup(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Lattices_Osemilattice__sup_56)).
% 8.42/2.12  tff(f46369,plain,(
% 8.42/2.12    semilattice_sup(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9518])).
% 8.42/2.12  tff(f9518,axiom,(
% 8.42/2.12    semilattice_sup(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Lattices_Osemilattice__sup_290)).
% 8.42/2.12  tff(f46368,plain,(
% 8.42/2.12    semilattice_sup($o)),
% 8.42/2.12    inference(cnf_transformation,[],[f9437])).
% 8.42/2.12  tff(f9437,axiom,(
% 8.42/2.12    semilattice_sup($o)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_HOL_Obool___Lattices_Osemilattice__sup_231)).
% 8.42/2.12  tff(f46367,plain,(
% 8.42/2.12    semilattice_sup(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9136])).
% 8.42/2.12  tff(f9136,axiom,(
% 8.42/2.12    semilattice_sup(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Lattices_Osemilattice__sup_2)).
% 8.42/2.12  tff(f46366,plain,(
% 8.42/2.12    semilattice_sup(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9338])).
% 8.42/2.12  tff(f9338,axiom,(
% 8.42/2.12    semilattice_sup(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Lattices_Osemilattice__sup_139)).
% 8.42/2.12  tff(f46365,plain,(
% 8.42/2.12    semilattice_sup(extended_enat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9699])).
% 8.42/2.12  tff(f9699,axiom,(
% 8.42/2.12    semilattice_sup(extended_enat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Lattices_Osemilattice__sup_469)).
% 8.42/2.12  tff(f46364,plain,(
% 8.42/2.12    semilattice_sup(product_unit)),
% 8.42/2.12    inference(cnf_transformation,[],[f9753])).
% 8.42/2.12  tff(f9753,axiom,(
% 8.42/2.12    semilattice_sup(product_unit)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Lattices_Osemilattice__sup_523)).
% 8.42/2.12  tff(f46363,plain,(
% 8.42/2.12    semilattice_inf(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9249])).
% 8.42/2.12  tff(f9249,axiom,(
% 8.42/2.12    semilattice_inf(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Lattices_Osemilattice__inf_57)).
% 8.42/2.12  tff(f46362,plain,(
% 8.42/2.12    semilattice_inf(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9519])).
% 8.42/2.12  tff(f9519,axiom,(
% 8.42/2.12    semilattice_inf(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Lattices_Osemilattice__inf_291)).
% 8.42/2.12  tff(f46361,plain,(
% 8.42/2.12    semilattice_inf($o)),
% 8.42/2.12    inference(cnf_transformation,[],[f9438])).
% 8.42/2.12  tff(f9438,axiom,(
% 8.42/2.12    semilattice_inf($o)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_HOL_Obool___Lattices_Osemilattice__inf_232)).
% 8.42/2.12  tff(f46360,plain,(
% 8.42/2.12    semilattice_inf(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9137])).
% 8.42/2.12  tff(f9137,axiom,(
% 8.42/2.12    semilattice_inf(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Lattices_Osemilattice__inf_3)).
% 8.42/2.12  tff(f46359,plain,(
% 8.42/2.12    semilattice_inf(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9339])).
% 8.42/2.12  tff(f9339,axiom,(
% 8.42/2.12    semilattice_inf(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Lattices_Osemilattice__inf_140)).
% 8.42/2.12  tff(f46358,plain,(
% 8.42/2.12    semilattice_inf(extended_enat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9700])).
% 8.42/2.12  tff(f9700,axiom,(
% 8.42/2.12    semilattice_inf(extended_enat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Lattices_Osemilattice__inf_470)).
% 8.42/2.12  tff(f46357,plain,(
% 8.42/2.12    semilattice_inf(product_unit)),
% 8.42/2.12    inference(cnf_transformation,[],[f9754])).
% 8.42/2.12  tff(f9754,axiom,(
% 8.42/2.12    semilattice_inf(product_unit)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Lattices_Osemilattice__inf_524)).
% 8.42/2.12  tff(f46356,plain,(
% 8.42/2.12    lattice(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9281])).
% 8.42/2.12  tff(f9281,axiom,(
% 8.42/2.12    lattice(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Lattices_Olattice_87)).
% 8.42/2.12  tff(f46355,plain,(
% 8.42/2.12    lattice(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9559])).
% 8.42/2.12  tff(f9559,axiom,(
% 8.42/2.12    lattice(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Lattices_Olattice_330)).
% 8.42/2.12  tff(f46354,plain,(
% 8.42/2.12    lattice($o)),
% 8.42/2.12    inference(cnf_transformation,[],[f9445])).
% 8.42/2.12  tff(f9445,axiom,(
% 8.42/2.12    lattice($o)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_HOL_Obool___Lattices_Olattice_239)).
% 8.42/2.12  tff(f46353,plain,(
% 8.42/2.12    lattice(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9177])).
% 8.42/2.12  tff(f9177,axiom,(
% 8.42/2.12    lattice(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Lattices_Olattice_6)).
% 8.42/2.12  tff(f46352,plain,(
% 8.42/2.12    lattice(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9378])).
% 8.42/2.12  tff(f9378,axiom,(
% 8.42/2.12    lattice(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Lattices_Olattice_174)).
% 8.42/2.12  tff(f46351,plain,(
% 8.42/2.12    lattice(extended_enat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9726])).
% 8.42/2.12  tff(f9726,axiom,(
% 8.42/2.12    lattice(extended_enat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Lattices_Olattice_496)).
% 8.42/2.12  tff(f46350,plain,(
% 8.42/2.12    lattice(product_unit)),
% 8.42/2.12    inference(cnf_transformation,[],[f9762])).
% 8.42/2.12  tff(f9762,axiom,(
% 8.42/2.12    lattice(product_unit)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Lattices_Olattice_532)).
% 8.42/2.12  tff(f46349,plain,(
% 8.42/2.12    distrib_lattice(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9250])).
% 8.42/2.12  tff(f9250,axiom,(
% 8.42/2.12    distrib_lattice(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Lattices_Odistrib__lattice_58)).
% 8.42/2.12  tff(f46348,plain,(
% 8.42/2.12    distrib_lattice(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9520])).
% 8.42/2.12  tff(f9520,axiom,(
% 8.42/2.12    distrib_lattice(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Lattices_Odistrib__lattice_292)).
% 8.42/2.12  tff(f46347,plain,(
% 8.42/2.12    distrib_lattice($o)),
% 8.42/2.12    inference(cnf_transformation,[],[f9439])).
% 8.42/2.12  tff(f9439,axiom,(
% 8.42/2.12    distrib_lattice($o)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_HOL_Obool___Lattices_Odistrib__lattice_233)).
% 8.42/2.12  tff(f46346,plain,(
% 8.42/2.12    distrib_lattice(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9138])).
% 8.42/2.12  tff(f9138,axiom,(
% 8.42/2.12    distrib_lattice(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Lattices_Odistrib__lattice_4)).
% 8.42/2.12  tff(f46345,plain,(
% 8.42/2.12    distrib_lattice(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9340])).
% 8.42/2.12  tff(f9340,axiom,(
% 8.42/2.12    distrib_lattice(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Lattices_Odistrib__lattice_141)).
% 8.42/2.12  tff(f46344,plain,(
% 8.42/2.12    distrib_lattice(extended_enat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9701])).
% 8.42/2.12  tff(f9701,axiom,(
% 8.42/2.12    distrib_lattice(extended_enat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Lattices_Odistrib__lattice_471)).
% 8.42/2.12  tff(f46343,plain,(
% 8.42/2.12    distrib_lattice(product_unit)),
% 8.42/2.12    inference(cnf_transformation,[],[f9755])).
% 8.42/2.12  tff(f9755,axiom,(
% 8.42/2.12    distrib_lattice(product_unit)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Lattices_Odistrib__lattice_525)).
% 8.42/2.12  tff(f46342,plain,(
% 8.42/2.12    linorder(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9275])).
% 8.42/2.12  tff(f9275,axiom,(
% 8.42/2.12    linorder(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Orderings_Olinorder_81)).
% 8.42/2.12  tff(f46341,plain,(
% 8.42/2.12    linorder(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9549])).
% 8.42/2.12  tff(f9549,axiom,(
% 8.42/2.12    linorder(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Orderings_Olinorder_321)).
% 8.42/2.12  tff(f46340,plain,(
% 8.42/2.12    linorder($o)),
% 8.42/2.12    inference(cnf_transformation,[],[f9444])).
% 8.42/2.12  tff(f9444,axiom,(
% 8.42/2.12    linorder($o)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_HOL_Obool___Orderings_Olinorder_238)).
% 8.42/2.12  tff(f46339,plain,(
% 8.42/2.12    linorder(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9167])).
% 8.42/2.12  tff(f9167,axiom,(
% 8.42/2.12    linorder(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Orderings_Olinorder)).
% 8.42/2.12  tff(f46338,plain,(
% 8.42/2.12    linorder(num)),
% 8.42/2.12    inference(cnf_transformation,[],[f9298])).
% 8.42/2.12  tff(f9298,axiom,(
% 8.42/2.12    linorder(num)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Num_Onum___Orderings_Olinorder_103)).
% 8.42/2.12  tff(f46337,plain,(
% 8.42/2.12    linorder(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9839])).
% 8.42/2.12  tff(f9839,axiom,(
% 8.42/2.12    linorder(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Orderings_Olinorder_609)).
% 8.42/2.12  tff(f46336,plain,(
% 8.42/2.12    linorder(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9369])).
% 8.42/2.12  tff(f9369,axiom,(
% 8.42/2.12    linorder(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Orderings_Olinorder_165)).
% 8.42/2.12  tff(f46335,plain,(
% 8.42/2.12    linorder(extended_enat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9721])).
% 8.42/2.12  tff(f9721,axiom,(
% 8.42/2.12    linorder(extended_enat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Orderings_Olinorder_491)).
% 8.42/2.12  tff(f46334,plain,(
% 8.42/2.12    linorder(product_unit)),
% 8.42/2.12    inference(cnf_transformation,[],[f9761])).
% 8.42/2.12  tff(f9761,axiom,(
% 8.42/2.12    linorder(product_unit)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Orderings_Olinorder_531)).
% 8.42/2.12  tff(f46333,plain,(
% 8.42/2.12    condit1219197933456340205attice(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9202])).
% 8.42/2.12  tff(f9202,axiom,(
% 8.42/2.12    condit1219197933456340205attice(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Conditionally__Complete__Lattices_Oconditionally__complete__lattice_12)).
% 8.42/2.12  tff(f46332,plain,(
% 8.42/2.12    condit1219197933456340205attice(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9453])).
% 8.42/2.12  tff(f9453,axiom,(
% 8.42/2.12    condit1219197933456340205attice(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Conditionally__Complete__Lattices_Oconditionally__complete__lattice_247)).
% 8.42/2.12  tff(f46331,plain,(
% 8.42/2.12    condit1219197933456340205attice($o)),
% 8.42/2.12    inference(cnf_transformation,[],[f9423])).
% 8.42/2.12  tff(f9423,axiom,(
% 8.42/2.12    condit1219197933456340205attice($o)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_HOL_Obool___Conditionally__Complete__Lattices_Oconditionally__complete__lattice_217)).
% 8.42/2.12  tff(f46330,plain,(
% 8.42/2.12    condit1219197933456340205attice(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9081])).
% 8.42/2.12  tff(f9081,axiom,(
% 8.42/2.12    condit1219197933456340205attice(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Conditionally__Complete__Lattices_Oconditionally__complete__lattice_1)).
% 8.42/2.12  tff(f46329,plain,(
% 8.42/2.12    condit1219197933456340205attice(extended_enat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9681])).
% 8.42/2.12  tff(f9681,axiom,(
% 8.42/2.12    condit1219197933456340205attice(extended_enat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Conditionally__Complete__Lattices_Oconditionally__complete__lattice_452)).
% 8.42/2.12  tff(f46328,plain,(
% 8.42/2.12    condit1219197933456340205attice(product_unit)),
% 8.42/2.12    inference(cnf_transformation,[],[f9743])).
% 8.42/2.12  tff(f9743,axiom,(
% 8.42/2.12    condit1219197933456340205attice(product_unit)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Conditionally__Complete__Lattices_Oconditionally__complete__lattice_513)).
% 8.42/2.12  tff(f46327,plain,(
% 8.42/2.12    uminus(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9569])).
% 8.42/2.12  tff(f9569,axiom,(
% 8.42/2.12    uminus(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Ouminus_340)).
% 8.42/2.12  tff(f46326,plain,(
% 8.42/2.12    uminus($o)),
% 8.42/2.12    inference(cnf_transformation,[],[f9449])).
% 8.42/2.12  tff(f9449,axiom,(
% 8.42/2.12    uminus($o)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_HOL_Obool___Groups_Ouminus_243)).
% 8.42/2.12  tff(f46325,plain,(
% 8.42/2.12    uminus(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9188])).
% 8.42/2.12  tff(f9188,axiom,(
% 8.42/2.12    uminus(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Ouminus_9)).
% 8.42/2.12  tff(f46324,plain,(
% 8.42/2.12    uminus(complex)),
% 8.42/2.12    inference(cnf_transformation,[],[f9668])).
% 8.42/2.12  tff(f9668,axiom,(
% 8.42/2.12    uminus(complex)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Ouminus_439)).
% 8.42/2.12  tff(f46323,plain,(
% 8.42/2.12    uminus(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9855])).
% 8.42/2.12  tff(f9855,axiom,(
% 8.42/2.12    uminus(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Ouminus_625)).
% 8.42/2.12  tff(f46322,plain,(
% 8.42/2.12    uminus(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9388])).
% 8.42/2.12  tff(f9388,axiom,(
% 8.42/2.12    uminus(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Ouminus_183)).
% 8.42/2.12  tff(f46321,plain,(
% 8.42/2.12    uminus(product_unit)),
% 8.42/2.12    inference(cnf_transformation,[],[f9766])).
% 8.42/2.12  tff(f9766,axiom,(
% 8.42/2.12    uminus(product_unit)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Groups_Ouminus_536)).
% 8.42/2.12  tff(f46320,plain,(
% 8.42/2.12    semiring_1(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9278])).
% 8.42/2.12  tff(f9278,axiom,(
% 8.42/2.12    semiring_1(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Osemiring__1_84)).
% 8.42/2.12  tff(f46319,plain,(
% 8.42/2.12    semiring_1(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9555])).
% 8.42/2.12  tff(f9555,axiom,(
% 8.42/2.12    semiring_1(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Osemiring__1_326)).
% 8.42/2.12  tff(f46318,plain,(
% 8.42/2.12    semiring_1(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9173])).
% 8.42/2.12  tff(f9173,axiom,(
% 8.42/2.12    semiring_1(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Osemiring__1)).
% 8.42/2.12  tff(f46317,plain,(
% 8.42/2.12    semiring_1(complex)),
% 8.42/2.12    inference(cnf_transformation,[],[f9659])).
% 8.42/2.12  tff(f9659,axiom,(
% 8.42/2.12    semiring_1(complex)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Osemiring__1_430)).
% 8.42/2.12  tff(f46316,plain,(
% 8.42/2.12    semiring_1(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9845])).
% 8.42/2.12  tff(f9845,axiom,(
% 8.42/2.12    semiring_1(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Osemiring__1_615)).
% 8.42/2.12  tff(f46315,plain,(
% 8.42/2.12    semiring_1(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9374])).
% 8.42/2.12  tff(f9374,axiom,(
% 8.42/2.12    semiring_1(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Osemiring__1_170)).
% 8.42/2.12  tff(f46314,plain,(
% 8.42/2.12    semiring_1(extended_enat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9724])).
% 8.42/2.12  tff(f9724,axiom,(
% 8.42/2.12    semiring_1(extended_enat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Rings_Osemiring__1_494)).
% 8.42/2.12  tff(f46301,plain,(
% 8.42/2.12    comm_monoid_mult(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9254])).
% 8.42/2.12  tff(f9254,axiom,(
% 8.42/2.12    comm_monoid_mult(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Ocomm__monoid__mult_62)).
% 8.42/2.12  tff(f46300,plain,(
% 8.42/2.12    comm_monoid_mult(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9523])).
% 8.42/2.12  tff(f9523,axiom,(
% 8.42/2.12    comm_monoid_mult(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Ocomm__monoid__mult_295)).
% 8.42/2.12  tff(f46299,plain,(
% 8.42/2.12    comm_monoid_mult(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9142])).
% 8.42/2.12  tff(f9142,axiom,(
% 8.42/2.12    comm_monoid_mult(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Ocomm__monoid__mult)).
% 8.42/2.12  tff(f46298,plain,(
% 8.42/2.12    comm_monoid_mult(complex)),
% 8.42/2.12    inference(cnf_transformation,[],[f9638])).
% 8.42/2.12  tff(f9638,axiom,(
% 8.42/2.12    comm_monoid_mult(complex)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Ocomm__monoid__mult_409)).
% 8.42/2.12  tff(f46297,plain,(
% 8.42/2.12    comm_monoid_mult(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9814])).
% 8.42/2.12  tff(f9814,axiom,(
% 8.42/2.12    comm_monoid_mult(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Ocomm__monoid__mult_584)).
% 8.42/2.12  tff(f46296,plain,(
% 8.42/2.12    comm_monoid_mult(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9343])).
% 8.42/2.12  tff(f9343,axiom,(
% 8.42/2.12    comm_monoid_mult(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Ocomm__monoid__mult_144)).
% 8.42/2.12  tff(f46295,plain,(
% 8.42/2.12    comm_monoid_mult(extended_enat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9704])).
% 8.42/2.12  tff(f9704,axiom,(
% 8.42/2.12    comm_monoid_mult(extended_enat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Ocomm__monoid__mult_474)).
% 8.42/2.12  tff(f46294,plain,(
% 8.42/2.12    comm_monoid_add(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9259])).
% 8.42/2.12  tff(f9259,axiom,(
% 8.42/2.12    comm_monoid_add(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Ocomm__monoid__add_66)).
% 8.42/2.12  tff(f46293,plain,(
% 8.42/2.12    comm_monoid_add(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9528])).
% 8.42/2.12  tff(f9528,axiom,(
% 8.42/2.12    comm_monoid_add(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Ocomm__monoid__add_300)).
% 8.42/2.12  tff(f46292,plain,(
% 8.42/2.12    comm_monoid_add(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9147])).
% 8.42/2.12  tff(f9147,axiom,(
% 8.42/2.12    comm_monoid_add(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Ocomm__monoid__add)).
% 8.42/2.12  tff(f46291,plain,(
% 8.42/2.12    comm_monoid_add(complex)),
% 8.42/2.12    inference(cnf_transformation,[],[f9640])).
% 8.42/2.12  tff(f9640,axiom,(
% 8.42/2.12    comm_monoid_add(complex)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Ocomm__monoid__add_411)).
% 8.42/2.12  tff(f46290,plain,(
% 8.42/2.12    comm_monoid_add(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9819])).
% 8.42/2.12  tff(f9819,axiom,(
% 8.42/2.12    comm_monoid_add(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Ocomm__monoid__add_589)).
% 8.42/2.12  tff(f46289,plain,(
% 8.42/2.12    comm_monoid_add(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9348])).
% 8.42/2.12  tff(f9348,axiom,(
% 8.42/2.12    comm_monoid_add(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Ocomm__monoid__add_148)).
% 8.42/2.12  tff(f46288,plain,(
% 8.42/2.12    comm_monoid_add(extended_enat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9707])).
% 8.42/2.12  tff(f9707,axiom,(
% 8.42/2.12    comm_monoid_add(extended_enat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Ocomm__monoid__add_477)).
% 8.42/2.12  tff(f46287,plain,(
% 8.42/2.12    monoid_mult(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9276])).
% 8.42/2.12  tff(f9276,axiom,(
% 8.42/2.12    monoid_mult(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Omonoid__mult_82)).
% 8.42/2.12  tff(f46286,plain,(
% 8.42/2.12    monoid_mult(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9550])).
% 8.42/2.12  tff(f9550,axiom,(
% 8.42/2.12    monoid_mult(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Omonoid__mult_322)).
% 8.42/2.12  tff(f46285,plain,(
% 8.42/2.12    monoid_mult(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9168])).
% 8.42/2.12  tff(f9168,axiom,(
% 8.42/2.12    monoid_mult(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Omonoid__mult)).
% 8.42/2.12  tff(f46284,plain,(
% 8.42/2.12    monoid_mult(complex)),
% 8.42/2.12    inference(cnf_transformation,[],[f9655])).
% 8.42/2.12  tff(f9655,axiom,(
% 8.42/2.12    monoid_mult(complex)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Omonoid__mult_426)).
% 8.42/2.12  tff(f46283,plain,(
% 8.42/2.12    monoid_mult(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9840])).
% 8.42/2.12  tff(f9840,axiom,(
% 8.42/2.12    monoid_mult(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Omonoid__mult_610)).
% 8.42/2.12  tff(f46282,plain,(
% 8.42/2.12    monoid_mult(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9370])).
% 8.42/2.12  tff(f9370,axiom,(
% 8.42/2.12    monoid_mult(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Omonoid__mult_166)).
% 8.42/2.12  tff(f46281,plain,(
% 8.42/2.12    monoid_mult(extended_enat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9722])).
% 8.42/2.12  tff(f9722,axiom,(
% 8.42/2.12    monoid_mult(extended_enat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Omonoid__mult_492)).
% 8.42/2.12  tff(f46280,plain,(
% 8.42/2.12    comm_semiring_1(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9261])).
% 8.42/2.12  tff(f9261,axiom,(
% 8.42/2.12    comm_semiring_1(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Ocomm__semiring__1_68)).
% 8.42/2.12  tff(f46279,plain,(
% 8.42/2.12    comm_semiring_1(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9531])).
% 8.42/2.12  tff(f9531,axiom,(
% 8.42/2.12    comm_semiring_1(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Ocomm__semiring__1_303)).
% 8.42/2.12  tff(f46278,plain,(
% 8.42/2.12    comm_semiring_1(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9151])).
% 8.42/2.12  tff(f9151,axiom,(
% 8.42/2.12    comm_semiring_1(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Ocomm__semiring__1)).
% 8.42/2.12  tff(f46277,plain,(
% 8.42/2.12    comm_semiring_1(complex)),
% 8.42/2.12    inference(cnf_transformation,[],[f9641])).
% 8.42/2.12  tff(f9641,axiom,(
% 8.42/2.12    comm_semiring_1(complex)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Ocomm__semiring__1_412)).
% 8.42/2.12  tff(f46276,plain,(
% 8.42/2.12    comm_semiring_1(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9823])).
% 8.42/2.12  tff(f9823,axiom,(
% 8.42/2.12    comm_semiring_1(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Ocomm__semiring__1_593)).
% 8.42/2.12  tff(f46275,plain,(
% 8.42/2.12    comm_semiring_1(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9351])).
% 8.42/2.12  tff(f9351,axiom,(
% 8.42/2.12    comm_semiring_1(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Ocomm__semiring__1_151)).
% 8.42/2.12  tff(f46274,plain,(
% 8.42/2.12    comm_semiring_1(extended_enat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9708])).
% 8.42/2.12  tff(f9708,axiom,(
% 8.42/2.12    comm_semiring_1(extended_enat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Rings_Ocomm__semiring__1_478)).
% 8.42/2.12  tff(f46273,plain,(
% 8.42/2.12    semiring_char_0(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9272])).
% 8.42/2.12  tff(f9272,axiom,(
% 8.42/2.12    semiring_char_0(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Nat_Osemiring__char__0_78)).
% 8.42/2.12  tff(f46272,plain,(
% 8.42/2.12    semiring_char_0(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9542])).
% 8.42/2.12  tff(f9542,axiom,(
% 8.42/2.12    semiring_char_0(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Nat_Osemiring__char__0_314)).
% 8.42/2.12  tff(f46271,plain,(
% 8.42/2.12    semiring_char_0(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9160])).
% 8.42/2.12  tff(f9160,axiom,(
% 8.42/2.12    semiring_char_0(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Nat_Osemiring__char__0)).
% 8.42/2.12  tff(f46270,plain,(
% 8.42/2.12    semiring_char_0(complex)),
% 8.42/2.12    inference(cnf_transformation,[],[f9650])).
% 8.42/2.12  tff(f9650,axiom,(
% 8.42/2.12    semiring_char_0(complex)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Nat_Osemiring__char__0_421)).
% 8.42/2.12  tff(f46269,plain,(
% 8.42/2.12    semiring_char_0(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9832])).
% 8.42/2.12  tff(f9832,axiom,(
% 8.42/2.12    semiring_char_0(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Nat_Osemiring__char__0_602)).
% 8.42/2.12  tff(f46268,plain,(
% 8.42/2.12    semiring_char_0(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9362])).
% 8.42/2.12  tff(f9362,axiom,(
% 8.42/2.12    semiring_char_0(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Nat_Osemiring__char__0_159)).
% 8.42/2.12  tff(f46267,plain,(
% 8.42/2.12    semiring_char_0(extended_enat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9718])).
% 8.42/2.12  tff(f9718,axiom,(
% 8.42/2.12    semiring_char_0(extended_enat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Nat_Osemiring__char__0_488)).
% 8.42/2.12  tff(f46266,plain,(
% 8.42/2.12    numeral(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9291])).
% 8.42/2.12  tff(f9291,axiom,(
% 8.42/2.12    numeral(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Num_Onumeral_97)).
% 8.42/2.12  tff(f46265,plain,(
% 8.42/2.12    numeral(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9575])).
% 8.42/2.12  tff(f9575,axiom,(
% 8.42/2.12    numeral(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Num_Onumeral_346)).
% 8.42/2.12  tff(f46264,plain,(
% 8.42/2.12    numeral(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9194])).
% 8.42/2.12  tff(f9194,axiom,(
% 8.42/2.12    numeral(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Num_Onumeral)).
% 8.42/2.12  tff(f46263,plain,(
% 8.42/2.12    numeral(complex)),
% 8.42/2.12    inference(cnf_transformation,[],[f9673])).
% 8.42/2.12  tff(f9673,axiom,(
% 8.42/2.12    numeral(complex)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Num_Onumeral_444)).
% 8.42/2.12  tff(f46262,plain,(
% 8.42/2.12    numeral(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9860])).
% 8.42/2.12  tff(f9860,axiom,(
% 8.42/2.12    numeral(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Num_Onumeral_630)).
% 8.42/2.12  tff(f46261,plain,(
% 8.42/2.12    numeral(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9394])).
% 8.42/2.12  tff(f9394,axiom,(
% 8.42/2.12    numeral(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Num_Onumeral_188)).
% 8.42/2.12  tff(f46260,plain,(
% 8.42/2.12    numeral(extended_enat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9734])).
% 8.42/2.12  tff(f9734,axiom,(
% 8.42/2.12    numeral(extended_enat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Num_Onumeral_504)).
% 8.42/2.12  tff(f46259,plain,(
% 8.42/2.12    order_bot(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9271])).
% 8.42/2.12  tff(f9271,axiom,(
% 8.42/2.12    order_bot(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Orderings_Oorder__bot_77)).
% 8.42/2.12  tff(f46258,plain,(
% 8.42/2.12    order_bot($o)),
% 8.42/2.12    inference(cnf_transformation,[],[f9442])).
% 8.42/2.12  tff(f9442,axiom,(
% 8.42/2.12    order_bot($o)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_HOL_Obool___Orderings_Oorder__bot_236)).
% 8.42/2.12  tff(f46257,plain,(
% 8.42/2.12    order_bot(extended_enat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9717])).
% 8.42/2.12  tff(f9717,axiom,(
% 8.42/2.12    order_bot(extended_enat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Orderings_Oorder__bot_487)).
% 8.42/2.12  tff(f46256,plain,(
% 8.42/2.12    order_bot(product_unit)),
% 8.42/2.12    inference(cnf_transformation,[],[f9759])).
% 8.42/2.12  tff(f9759,axiom,(
% 8.42/2.12    order_bot(product_unit)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Orderings_Oorder__bot_529)).
% 8.42/2.12  tff(f46255,plain,(
% 8.42/2.12    dvd(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9295])).
% 8.42/2.12  tff(f9295,axiom,(
% 8.42/2.12    dvd(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Odvd_101)).
% 8.42/2.12  tff(f46254,plain,(
% 8.42/2.12    dvd(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9581])).
% 8.42/2.12  tff(f9581,axiom,(
% 8.42/2.12    dvd(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Odvd_352)).
% 8.42/2.12  tff(f46253,plain,(
% 8.42/2.12    dvd(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9200])).
% 8.42/2.12  tff(f9200,axiom,(
% 8.42/2.12    dvd(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Odvd)).
% 8.42/2.12  tff(f46252,plain,(
% 8.42/2.12    dvd(complex)),
% 8.42/2.12    inference(cnf_transformation,[],[f9679])).
% 8.42/2.12  tff(f9679,axiom,(
% 8.42/2.12    dvd(complex)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Odvd_450)).
% 8.42/2.12  tff(f46251,plain,(
% 8.42/2.12    dvd(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9866])).
% 8.42/2.12  tff(f9866,axiom,(
% 8.42/2.12    dvd(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Odvd_636)).
% 8.42/2.12  tff(f46250,plain,(
% 8.42/2.12    dvd(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9400])).
% 8.42/2.12  tff(f9400,axiom,(
% 8.42/2.12    dvd(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Odvd_194)).
% 8.42/2.12  tff(f46249,plain,(
% 8.42/2.12    dvd(extended_enat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9738])).
% 8.42/2.12  tff(f9738,axiom,(
% 8.42/2.12    dvd(extended_enat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Rings_Odvd_508)).
% 8.42/2.12  tff(f46248,plain,(
% 8.42/2.12    semiring_0(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9279])).
% 8.42/2.12  tff(f9279,axiom,(
% 8.42/2.12    semiring_0(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Osemiring__0_85)).
% 8.42/2.12  tff(f46247,plain,(
% 8.42/2.12    power(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9290])).
% 8.42/2.12  tff(f9290,axiom,(
% 8.42/2.12    power(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Power_Opower_96)).
% 8.42/2.12  tff(f46246,plain,(
% 8.42/2.12    semiring_numeral(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9266])).
% 8.42/2.12  tff(f9266,axiom,(
% 8.42/2.12    semiring_numeral(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Num_Osemiring__numeral_73)).
% 8.42/2.12  tff(f46245,plain,(
% 8.42/2.12    semiring_0(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9556])).
% 8.42/2.12  tff(f9556,axiom,(
% 8.42/2.12    semiring_0(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Osemiring__0_327)).
% 8.42/2.12  tff(f46244,plain,(
% 8.42/2.12    power(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9574])).
% 8.42/2.12  tff(f9574,axiom,(
% 8.42/2.12    power(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Power_Opower_345)).
% 8.42/2.12  tff(f46243,plain,(
% 8.42/2.12    semiring_numeral(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9536])).
% 8.42/2.12  tff(f9536,axiom,(
% 8.42/2.12    semiring_numeral(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Num_Osemiring__numeral_308)).
% 8.42/2.12  tff(f46242,plain,(
% 8.42/2.12    power(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9193])).
% 8.42/2.12  tff(f9193,axiom,(
% 8.42/2.12    power(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Power_Opower)).
% 8.42/2.12  tff(f46241,plain,(
% 8.42/2.12    semiring_numeral(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9156])).
% 8.42/2.12  tff(f9156,axiom,(
% 8.42/2.12    semiring_numeral(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Num_Osemiring__numeral)).
% 8.42/2.12  tff(f46240,plain,(
% 8.42/2.12    semiring_0(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9174])).
% 8.42/2.12  tff(f9174,axiom,(
% 8.42/2.12    semiring_0(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Osemiring__0)).
% 8.42/2.12  tff(f46239,plain,(
% 8.42/2.12    power(complex)),
% 8.42/2.12    inference(cnf_transformation,[],[f9672])).
% 8.42/2.12  tff(f9672,axiom,(
% 8.42/2.12    power(complex)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Power_Opower_443)).
% 8.42/2.12  tff(f46238,plain,(
% 8.42/2.12    semiring_0(complex)),
% 8.42/2.12    inference(cnf_transformation,[],[f9660])).
% 8.42/2.12  tff(f9660,axiom,(
% 8.42/2.12    semiring_0(complex)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Osemiring__0_431)).
% 8.42/2.12  tff(f46237,plain,(
% 8.42/2.12    semiring_numeral(complex)),
% 8.42/2.12    inference(cnf_transformation,[],[f9645])).
% 8.42/2.12  tff(f9645,axiom,(
% 8.42/2.12    semiring_numeral(complex)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Num_Osemiring__numeral_416)).
% 8.42/2.12  tff(f46236,plain,(
% 8.42/2.12    semiring_0(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9846])).
% 8.42/2.12  tff(f9846,axiom,(
% 8.42/2.12    semiring_0(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Osemiring__0_616)).
% 8.42/2.12  tff(f46235,plain,(
% 8.42/2.12    semiring_numeral(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9828])).
% 8.42/2.12  tff(f9828,axiom,(
% 8.42/2.12    semiring_numeral(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Num_Osemiring__numeral_598)).
% 8.42/2.12  tff(f46234,plain,(
% 8.42/2.12    power(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9859])).
% 8.42/2.12  tff(f9859,axiom,(
% 8.42/2.12    power(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Power_Opower_629)).
% 8.42/2.12  tff(f46233,plain,(
% 8.42/2.12    power(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9393])).
% 8.42/2.12  tff(f9393,axiom,(
% 8.42/2.12    power(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Power_Opower_187)).
% 8.42/2.12  tff(f46232,plain,(
% 8.42/2.12    semiring_0(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9375])).
% 8.42/2.12  tff(f9375,axiom,(
% 8.42/2.12    semiring_0(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Osemiring__0_171)).
% 8.42/2.12  tff(f46231,plain,(
% 8.42/2.12    semiring_numeral(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9356])).
% 8.42/2.12  tff(f9356,axiom,(
% 8.42/2.12    semiring_numeral(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Num_Osemiring__numeral_155)).
% 8.42/2.12  tff(f46230,plain,(
% 8.42/2.12    power(extended_enat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9733])).
% 8.42/2.12  tff(f9733,axiom,(
% 8.42/2.12    power(extended_enat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Power_Opower_503)).
% 8.42/2.12  tff(f46229,plain,(
% 8.42/2.12    semiring_0(extended_enat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9725])).
% 8.42/2.12  tff(f9725,axiom,(
% 8.42/2.12    semiring_0(extended_enat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Rings_Osemiring__0_495)).
% 8.42/2.12  tff(f46228,plain,(
% 8.42/2.12    semiring_numeral(extended_enat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9711])).
% 8.42/2.12  tff(f9711,axiom,(
% 8.42/2.12    semiring_numeral(extended_enat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Num_Osemiring__numeral_481)).
% 8.42/2.12  tff(f46227,plain,(
% 8.42/2.12    monoid_add(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9277])).
% 8.42/2.12  tff(f9277,axiom,(
% 8.42/2.12    monoid_add(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Omonoid__add_83)).
% 8.42/2.12  tff(f46226,plain,(
% 8.42/2.12    monoid_add(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9554])).
% 8.42/2.12  tff(f9554,axiom,(
% 8.42/2.12    monoid_add(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Omonoid__add_325)).
% 8.42/2.12  tff(f46225,plain,(
% 8.42/2.12    monoid_add(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9172])).
% 8.42/2.12  tff(f9172,axiom,(
% 8.42/2.12    monoid_add(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Omonoid__add)).
% 8.42/2.12  tff(f46224,plain,(
% 8.42/2.12    monoid_add(complex)),
% 8.42/2.12    inference(cnf_transformation,[],[f9658])).
% 8.42/2.12  tff(f9658,axiom,(
% 8.42/2.12    monoid_add(complex)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Omonoid__add_429)).
% 8.42/2.12  tff(f46223,plain,(
% 8.42/2.12    monoid_add(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9844])).
% 8.42/2.12  tff(f9844,axiom,(
% 8.42/2.12    monoid_add(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Omonoid__add_614)).
% 8.42/2.12  tff(f46222,plain,(
% 8.42/2.12    monoid_add(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9373])).
% 8.42/2.12  tff(f9373,axiom,(
% 8.42/2.12    monoid_add(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Omonoid__add_169)).
% 8.42/2.12  tff(f46221,plain,(
% 8.42/2.12    monoid_add(extended_enat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9723])).
% 8.42/2.12  tff(f9723,axiom,(
% 8.42/2.12    monoid_add(extended_enat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Omonoid__add_493)).
% 8.42/2.12  tff(f46220,plain,(
% 8.42/2.12    ab_semigroup_mult(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9251])).
% 8.42/2.12  tff(f9251,axiom,(
% 8.42/2.12    ab_semigroup_mult(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Oab__semigroup__mult_59)).
% 8.42/2.12  tff(f46219,plain,(
% 8.42/2.12    semiring(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9286])).
% 8.42/2.12  tff(f9286,axiom,(
% 8.42/2.12    semiring(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Osemiring_92)).
% 8.42/2.12  tff(f46218,plain,(
% 8.42/2.12    semiring(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9566])).
% 8.42/2.12  tff(f9566,axiom,(
% 8.42/2.12    semiring(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Osemiring_337)).
% 8.42/2.12  tff(f46217,plain,(
% 8.42/2.12    ab_semigroup_mult(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9521])).
% 8.42/2.12  tff(f9521,axiom,(
% 8.42/2.12    ab_semigroup_mult(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Oab__semigroup__mult_293)).
% 8.42/2.12  tff(f46216,plain,(
% 8.42/2.12    ab_semigroup_mult(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9139])).
% 8.42/2.12  tff(f9139,axiom,(
% 8.42/2.12    ab_semigroup_mult(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Oab__semigroup__mult)).
% 8.42/2.12  tff(f46215,plain,(
% 8.42/2.12    semiring(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9186])).
% 8.42/2.12  tff(f9186,axiom,(
% 8.42/2.12    semiring(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Osemiring)).
% 8.42/2.12  tff(f46214,plain,(
% 8.42/2.12    semiring(complex)),
% 8.42/2.12    inference(cnf_transformation,[],[f9666])).
% 8.42/2.12  tff(f9666,axiom,(
% 8.42/2.12    semiring(complex)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Osemiring_437)).
% 8.42/2.12  tff(f46213,plain,(
% 8.42/2.12    ab_semigroup_mult(complex)),
% 8.42/2.12    inference(cnf_transformation,[],[f9636])).
% 8.42/2.12  tff(f9636,axiom,(
% 8.42/2.12    ab_semigroup_mult(complex)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Oab__semigroup__mult_407)).
% 8.42/2.12  tff(f46212,plain,(
% 8.42/2.12    semiring(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9853])).
% 8.42/2.12  tff(f9853,axiom,(
% 8.42/2.12    semiring(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Osemiring_623)).
% 8.42/2.12  tff(f46211,plain,(
% 8.42/2.12    ab_semigroup_mult(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9811])).
% 8.42/2.12  tff(f9811,axiom,(
% 8.42/2.12    ab_semigroup_mult(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Oab__semigroup__mult_581)).
% 8.42/2.12  tff(f46210,plain,(
% 8.42/2.12    semiring(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9385])).
% 8.42/2.12  tff(f9385,axiom,(
% 8.42/2.12    semiring(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Osemiring_181)).
% 8.42/2.12  tff(f46209,plain,(
% 8.42/2.12    ab_semigroup_mult(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9341])).
% 8.42/2.12  tff(f9341,axiom,(
% 8.42/2.12    ab_semigroup_mult(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Oab__semigroup__mult_142)).
% 8.42/2.12  tff(f46208,plain,(
% 8.42/2.12    ab_semigroup_mult(extended_enat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9703])).
% 8.42/2.12  tff(f9703,axiom,(
% 8.42/2.12    ab_semigroup_mult(extended_enat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Oab__semigroup__mult_473)).
% 8.42/2.12  tff(f46207,plain,(
% 8.42/2.12    semiring(extended_enat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9729])).
% 8.42/2.12  tff(f9729,axiom,(
% 8.42/2.12    semiring(extended_enat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Rings_Osemiring_499)).
% 8.42/2.12  tff(f46206,plain,(
% 8.42/2.12    zero_neq_one(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9273])).
% 8.42/2.12  tff(f9273,axiom,(
% 8.42/2.12    zero_neq_one(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Ozero__neq__one_79)).
% 8.42/2.12  tff(f46205,plain,(
% 8.42/2.12    zero_neq_one(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9545])).
% 8.42/2.12  tff(f9545,axiom,(
% 8.42/2.12    zero_neq_one(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Ozero__neq__one_317)).
% 8.42/2.12  tff(f46204,plain,(
% 8.42/2.12    zero_neq_one(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9162])).
% 8.42/2.12  tff(f9162,axiom,(
% 8.42/2.12    zero_neq_one(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Ozero__neq__one)).
% 8.42/2.12  tff(f46203,plain,(
% 8.42/2.12    zero_neq_one(complex)),
% 8.42/2.12    inference(cnf_transformation,[],[f9653])).
% 8.42/2.12  tff(f9653,axiom,(
% 8.42/2.12    zero_neq_one(complex)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Ozero__neq__one_424)).
% 8.42/2.12  tff(f46202,plain,(
% 8.42/2.12    zero_neq_one(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9834])).
% 8.42/2.12  tff(f9834,axiom,(
% 8.42/2.12    zero_neq_one(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Ozero__neq__one_604)).
% 8.42/2.12  tff(f46201,plain,(
% 8.42/2.12    zero_neq_one(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9365])).
% 8.42/2.12  tff(f9365,axiom,(
% 8.42/2.12    zero_neq_one(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Ozero__neq__one_161)).
% 8.42/2.12  tff(f46200,plain,(
% 8.42/2.12    zero_neq_one(extended_enat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9719])).
% 8.42/2.12  tff(f9719,axiom,(
% 8.42/2.12    zero_neq_one(extended_enat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Rings_Ozero__neq__one_489)).
% 8.42/2.12  tff(f46199,plain,(
% 8.42/2.12    zero(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9292])).
% 8.42/2.12  tff(f9292,axiom,(
% 8.42/2.12    zero(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Ozero_98)).
% 8.42/2.12  tff(f46198,plain,(
% 8.42/2.12    comm_semiring_0(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9262])).
% 8.42/2.12  tff(f9262,axiom,(
% 8.42/2.12    comm_semiring_0(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Ocomm__semiring__0_69)).
% 8.42/2.12  tff(f46197,plain,(
% 8.42/2.12    mult_zero(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9284])).
% 8.42/2.12  tff(f9284,axiom,(
% 8.42/2.12    mult_zero(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Omult__zero_90)).
% 8.42/2.12  tff(f46196,plain,(
% 8.42/2.12    zero(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9576])).
% 8.42/2.12  tff(f9576,axiom,(
% 8.42/2.12    zero(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Ozero_347)).
% 8.42/2.12  tff(f46195,plain,(
% 8.42/2.12    comm_semiring_0(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9532])).
% 8.42/2.12  tff(f9532,axiom,(
% 8.42/2.12    comm_semiring_0(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Ocomm__semiring__0_304)).
% 8.42/2.12  tff(f46194,plain,(
% 8.42/2.12    mult_zero(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9561])).
% 8.42/2.12  tff(f9561,axiom,(
% 8.42/2.12    mult_zero(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Omult__zero_332)).
% 8.42/2.12  tff(f46193,plain,(
% 8.42/2.12    comm_semiring_0(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9152])).
% 8.42/2.12  tff(f9152,axiom,(
% 8.42/2.12    comm_semiring_0(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Ocomm__semiring__0)).
% 8.42/2.12  tff(f46192,plain,(
% 8.42/2.12    mult_zero(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9181])).
% 8.42/2.12  tff(f9181,axiom,(
% 8.42/2.12    mult_zero(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Omult__zero)).
% 8.42/2.12  tff(f46191,plain,(
% 8.42/2.12    zero(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9195])).
% 8.42/2.12  tff(f9195,axiom,(
% 8.42/2.12    zero(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Ozero)).
% 8.42/2.12  tff(f46190,plain,(
% 8.42/2.12    zero(complex)),
% 8.42/2.12    inference(cnf_transformation,[],[f9674])).
% 8.42/2.12  tff(f9674,axiom,(
% 8.42/2.12    zero(complex)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Ozero_445)).
% 8.42/2.12  tff(f46189,plain,(
% 8.42/2.12    comm_semiring_0(complex)),
% 8.42/2.12    inference(cnf_transformation,[],[f9642])).
% 8.42/2.12  tff(f9642,axiom,(
% 8.42/2.12    comm_semiring_0(complex)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Ocomm__semiring__0_413)).
% 8.42/2.12  tff(f46188,plain,(
% 8.42/2.12    mult_zero(complex)),
% 8.42/2.12    inference(cnf_transformation,[],[f9662])).
% 8.42/2.12  tff(f9662,axiom,(
% 8.42/2.12    mult_zero(complex)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Omult__zero_433)).
% 8.42/2.12  tff(f46187,plain,(
% 8.42/2.12    mult_zero(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9848])).
% 8.42/2.12  tff(f9848,axiom,(
% 8.42/2.12    mult_zero(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Omult__zero_618)).
% 8.42/2.12  tff(f46186,plain,(
% 8.42/2.12    comm_semiring_0(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9824])).
% 8.42/2.12  tff(f9824,axiom,(
% 8.42/2.12    comm_semiring_0(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Ocomm__semiring__0_594)).
% 8.42/2.12  tff(f46185,plain,(
% 8.42/2.12    zero(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9861])).
% 8.42/2.12  tff(f9861,axiom,(
% 8.42/2.12    zero(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Ozero_631)).
% 8.42/2.12  tff(f46184,plain,(
% 8.42/2.12    zero(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9395])).
% 8.42/2.12  tff(f9395,axiom,(
% 8.42/2.12    zero(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Ozero_189)).
% 8.42/2.12  tff(f46183,plain,(
% 8.42/2.12    comm_semiring_0(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9352])).
% 8.42/2.12  tff(f9352,axiom,(
% 8.42/2.12    comm_semiring_0(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Ocomm__semiring__0_152)).
% 8.42/2.12  tff(f46182,plain,(
% 8.42/2.12    mult_zero(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9380])).
% 8.42/2.12  tff(f9380,axiom,(
% 8.42/2.12    mult_zero(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Omult__zero_176)).
% 8.42/2.12  tff(f46181,plain,(
% 8.42/2.12    mult_zero(extended_enat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9727])).
% 8.42/2.12  tff(f9727,axiom,(
% 8.42/2.12    mult_zero(extended_enat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Rings_Omult__zero_497)).
% 8.42/2.12  tff(f46180,plain,(
% 8.42/2.12    zero(extended_enat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9735])).
% 8.42/2.12  tff(f9735,axiom,(
% 8.42/2.12    zero(extended_enat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Ozero_505)).
% 8.42/2.12  tff(f46179,plain,(
% 8.42/2.12    comm_semiring_0(extended_enat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9709])).
% 8.42/2.12  tff(f9709,axiom,(
% 8.42/2.12    comm_semiring_0(extended_enat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Rings_Ocomm__semiring__0_479)).
% 8.42/2.12  tff(f46178,plain,(
% 8.42/2.12    semiri3467727345109120633visors(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9232])).
% 8.42/2.12  tff(f9232,axiom,(
% 8.42/2.12    semiri3467727345109120633visors(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Osemiring__no__zero__divisors_40)).
% 8.42/2.12  tff(f46177,plain,(
% 8.42/2.12    semiri3467727345109120633visors(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9489])).
% 8.42/2.12  tff(f9489,axiom,(
% 8.42/2.12    semiri3467727345109120633visors(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Osemiring__no__zero__divisors_269)).
% 8.42/2.12  tff(f46176,plain,(
% 8.42/2.12    semiri3467727345109120633visors(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9114])).
% 8.42/2.12  tff(f9114,axiom,(
% 8.42/2.12    semiri3467727345109120633visors(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Osemiring__no__zero__divisors)).
% 8.42/2.12  tff(f46175,plain,(
% 8.42/2.12    semiri3467727345109120633visors(complex)),
% 8.42/2.12    inference(cnf_transformation,[],[f9620])).
% 8.42/2.12  tff(f9620,axiom,(
% 8.42/2.12    semiri3467727345109120633visors(complex)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Osemiring__no__zero__divisors_391)).
% 8.42/2.12  tff(f46174,plain,(
% 8.42/2.12    semiri3467727345109120633visors(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9793])).
% 8.42/2.12  tff(f9793,axiom,(
% 8.42/2.12    semiri3467727345109120633visors(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Osemiring__no__zero__divisors_563)).
% 8.42/2.12  tff(f46173,plain,(
% 8.42/2.12    semiri3467727345109120633visors(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9319])).
% 8.42/2.12  tff(f9319,axiom,(
% 8.42/2.12    semiri3467727345109120633visors(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Osemiring__no__zero__divisors_122)).
% 8.42/2.12  tff(f46172,plain,(
% 8.42/2.12    semiri3467727345109120633visors(extended_enat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9693])).
% 8.42/2.12  tff(f9693,axiom,(
% 8.42/2.12    semiri3467727345109120633visors(extended_enat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Rings_Osemiring__no__zero__divisors_463)).
% 8.42/2.12  tff(f46171,plain,(
% 8.42/2.12    bot(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9288])).
% 8.42/2.12  tff(f9288,axiom,(
% 8.42/2.12    bot(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Orderings_Obot_94)).
% 8.42/2.12  tff(f46170,plain,(
% 8.42/2.12    ab_semigroup_add(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9256])).
% 8.42/2.12  tff(f9256,axiom,(
% 8.42/2.12    ab_semigroup_add(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Oab__semigroup__add_63)).
% 8.42/2.12  tff(f46169,plain,(
% 8.42/2.12    ab_semigroup_add(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9524])).
% 8.42/2.12  tff(f9524,axiom,(
% 8.42/2.12    ab_semigroup_add(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Oab__semigroup__add_296)).
% 8.42/2.12  tff(f46168,plain,(
% 8.42/2.12    bot($o)),
% 8.42/2.12    inference(cnf_transformation,[],[f9448])).
% 8.42/2.12  tff(f9448,axiom,(
% 8.42/2.12    bot($o)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_HOL_Obool___Orderings_Obot_242)).
% 8.42/2.12  tff(f46167,plain,(
% 8.42/2.12    ab_semigroup_add(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9143])).
% 8.42/2.12  tff(f9143,axiom,(
% 8.42/2.12    ab_semigroup_add(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Oab__semigroup__add)).
% 8.42/2.12  tff(f46166,plain,(
% 8.42/2.12    ab_semigroup_add(complex)),
% 8.42/2.12    inference(cnf_transformation,[],[f9639])).
% 8.42/2.12  tff(f9639,axiom,(
% 8.42/2.12    ab_semigroup_add(complex)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Oab__semigroup__add_410)).
% 8.42/2.12  tff(f46165,plain,(
% 8.42/2.12    ab_semigroup_add(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9815])).
% 8.42/2.12  tff(f9815,axiom,(
% 8.42/2.12    ab_semigroup_add(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Oab__semigroup__add_585)).
% 8.42/2.12  tff(f46164,plain,(
% 8.42/2.12    ab_semigroup_add(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9344])).
% 8.42/2.12  tff(f9344,axiom,(
% 8.42/2.12    ab_semigroup_add(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Oab__semigroup__add_145)).
% 8.42/2.12  tff(f46163,plain,(
% 8.42/2.12    ab_semigroup_add(extended_enat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9705])).
% 8.42/2.12  tff(f9705,axiom,(
% 8.42/2.12    ab_semigroup_add(extended_enat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Oab__semigroup__add_475)).
% 8.42/2.12  tff(f46162,plain,(
% 8.42/2.12    bot(extended_enat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9731])).
% 8.42/2.12  tff(f9731,axiom,(
% 8.42/2.12    bot(extended_enat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Orderings_Obot_501)).
% 8.42/2.12  tff(f46161,plain,(
% 8.42/2.12    bot(product_unit)),
% 8.42/2.12    inference(cnf_transformation,[],[f9765])).
% 8.42/2.12  tff(f9765,axiom,(
% 8.42/2.12    bot(product_unit)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Orderings_Obot_535)).
% 8.42/2.12  tff(f46159,plain,(
% 8.42/2.12    comm_semiring(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9269])).
% 8.42/2.12  tff(f9269,axiom,(
% 8.42/2.12    comm_semiring(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Ocomm__semiring_76)).
% 8.42/2.12  tff(f46158,plain,(
% 8.42/2.12    semigroup_mult(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9263])).
% 8.42/2.12  tff(f9263,axiom,(
% 8.42/2.12    semigroup_mult(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Osemigroup__mult_70)).
% 8.42/2.12  tff(f46157,plain,(
% 8.42/2.12    semigroup_add(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9267])).
% 8.42/2.12  tff(f9267,axiom,(
% 8.42/2.12    semigroup_add(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Osemigroup__add_74)).
% 8.42/2.12  tff(f46155,plain,(
% 8.42/2.12    semigroup_mult(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9534])).
% 8.42/2.12  tff(f9534,axiom,(
% 8.42/2.12    semigroup_mult(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Osemigroup__mult_306)).
% 8.42/2.12  tff(f46154,plain,(
% 8.42/2.12    comm_semiring(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9541])).
% 8.42/2.12  tff(f9541,axiom,(
% 8.42/2.12    comm_semiring(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Ocomm__semiring_313)).
% 8.42/2.12  tff(f46153,plain,(
% 8.42/2.12    semigroup_add(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9537])).
% 8.42/2.12  tff(f9537,axiom,(
% 8.42/2.12    semigroup_add(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Osemigroup__add_309)).
% 8.42/2.12  tff(f46152,plain,(
% 8.42/2.12    semigroup_mult(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9153])).
% 8.42/2.12  tff(f9153,axiom,(
% 8.42/2.12    semigroup_mult(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Osemigroup__mult)).
% 8.42/2.12  tff(f46151,plain,(
% 8.42/2.12    comm_semiring(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9159])).
% 8.42/2.12  tff(f9159,axiom,(
% 8.42/2.12    comm_semiring(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Ocomm__semiring)).
% 8.42/2.12  tff(f46149,plain,(
% 8.42/2.12    semigroup_add(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9157])).
% 8.42/2.12  tff(f9157,axiom,(
% 8.42/2.12    semigroup_add(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Osemigroup__add)).
% 8.42/2.12  tff(f46148,plain,(
% 8.42/2.12    comm_semiring(complex)),
% 8.42/2.12    inference(cnf_transformation,[],[f9649])).
% 8.42/2.12  tff(f9649,axiom,(
% 8.42/2.12    comm_semiring(complex)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Ocomm__semiring_420)).
% 8.42/2.12  tff(f46146,plain,(
% 8.42/2.12    semigroup_mult(complex)),
% 8.42/2.12    inference(cnf_transformation,[],[f9643])).
% 8.42/2.12  tff(f9643,axiom,(
% 8.42/2.12    semigroup_mult(complex)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Osemigroup__mult_414)).
% 8.42/2.12  tff(f46145,plain,(
% 8.42/2.12    semigroup_add(complex)),
% 8.42/2.12    inference(cnf_transformation,[],[f9646])).
% 8.42/2.12  tff(f9646,axiom,(
% 8.42/2.12    semigroup_add(complex)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Osemigroup__add_417)).
% 8.42/2.12  tff(f46144,plain,(
% 8.42/2.12    comm_semiring(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9831])).
% 8.42/2.12  tff(f9831,axiom,(
% 8.42/2.12    comm_semiring(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Ocomm__semiring_601)).
% 8.42/2.12  tff(f46143,plain,(
% 8.42/2.12    semigroup_add(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9829])).
% 8.42/2.12  tff(f9829,axiom,(
% 8.42/2.12    semigroup_add(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Osemigroup__add_599)).
% 8.42/2.12  tff(f46141,plain,(
% 8.42/2.12    semigroup_mult(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9825])).
% 8.42/2.12  tff(f9825,axiom,(
% 8.42/2.12    semigroup_mult(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Osemigroup__mult_595)).
% 8.42/2.12  tff(f46140,plain,(
% 8.42/2.12    comm_semiring(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9361])).
% 8.42/2.12  tff(f9361,axiom,(
% 8.42/2.12    comm_semiring(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Ocomm__semiring_158)).
% 8.42/2.12  tff(f46139,plain,(
% 8.42/2.12    semigroup_add(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9357])).
% 8.42/2.12  tff(f9357,axiom,(
% 8.42/2.12    semigroup_add(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Osemigroup__add_156)).
% 8.42/2.12  tff(f46137,plain,(
% 8.42/2.12    semigroup_mult(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9354])).
% 8.42/2.12  tff(f9354,axiom,(
% 8.42/2.12    semigroup_mult(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Osemigroup__mult_153)).
% 8.42/2.12  tff(f46136,plain,(
% 8.42/2.12    semigroup_add(extended_enat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9712])).
% 8.42/2.12  tff(f9712,axiom,(
% 8.42/2.12    semigroup_add(extended_enat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Osemigroup__add_482)).
% 8.42/2.12  tff(f46135,plain,(
% 8.42/2.12    comm_semiring(extended_enat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9714])).
% 8.42/2.12  tff(f9714,axiom,(
% 8.42/2.12    comm_semiring(extended_enat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Rings_Ocomm__semiring_484)).
% 8.42/2.12  tff(f46133,plain,(
% 8.42/2.12    semigroup_mult(extended_enat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9710])).
% 8.42/2.12  tff(f9710,axiom,(
% 8.42/2.12    semigroup_mult(extended_enat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Osemigroup__mult_480)).
% 8.42/2.12  tff(f46132,plain,(
% 8.42/2.12    topolo4958980785337419405_space(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9221])).
% 8.42/2.12  tff(f9221,axiom,(
% 8.42/2.12    topolo4958980785337419405_space(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Topological__Spaces_Otopological__space_29)).
% 8.42/2.12  tff(f46131,plain,(
% 8.42/2.12    topolo4958980785337419405_space(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9471])).
% 8.42/2.12  tff(f9471,axiom,(
% 8.42/2.12    topolo4958980785337419405_space(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Topological__Spaces_Otopological__space_257)).
% 8.42/2.12  tff(f46130,plain,(
% 8.42/2.12    topolo4958980785337419405_space($o)),
% 8.42/2.12    inference(cnf_transformation,[],[f9426])).
% 8.42/2.12  tff(f9426,axiom,(
% 8.42/2.12    topolo4958980785337419405_space($o)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_HOL_Obool___Topological__Spaces_Otopological__space_220)).
% 8.42/2.12  tff(f46129,plain,(
% 8.42/2.12    topolo4958980785337419405_space(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9100])).
% 8.42/2.12  tff(f9100,axiom,(
% 8.42/2.12    topolo4958980785337419405_space(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Topological__Spaces_Otopological__space)).
% 8.42/2.12  tff(f46128,plain,(
% 8.42/2.12    topolo4958980785337419405_space(complex)),
% 8.42/2.12    inference(cnf_transformation,[],[f9610])).
% 8.42/2.12  tff(f9610,axiom,(
% 8.42/2.12    topolo4958980785337419405_space(complex)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Topological__Spaces_Otopological__space_381)).
% 8.42/2.12  tff(f46127,plain,(
% 8.42/2.12    comple6319245703460814977attice($o)),
% 8.42/2.12    inference(cnf_transformation,[],[f9431])).
% 8.42/2.12  tff(f9431,axiom,(
% 8.42/2.12    comple6319245703460814977attice($o)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_HOL_Obool___Complete__Lattices_Ocomplete__lattice_225)).
% 8.42/2.12  tff(f46126,plain,(
% 8.42/2.12    comple6319245703460814977attice(extended_enat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9691])).
% 8.42/2.12  tff(f9691,axiom,(
% 8.42/2.12    comple6319245703460814977attice(extended_enat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Complete__Lattices_Ocomplete__lattice_461)).
% 8.42/2.12  tff(f46125,plain,(
% 8.42/2.12    comple6319245703460814977attice(product_unit)),
% 8.42/2.12    inference(cnf_transformation,[],[f9749])).
% 8.42/2.12  tff(f9749,axiom,(
% 8.42/2.12    comple6319245703460814977attice(product_unit)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Complete__Lattices_Ocomplete__lattice_519)).
% 8.42/2.12  tff(f46124,plain,(
% 8.42/2.12    topological_t2_space(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9242])).
% 8.42/2.12  tff(f9242,axiom,(
% 8.42/2.12    topological_t2_space(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Topological__Spaces_Ot2__space_50)).
% 8.42/2.12  tff(f46123,plain,(
% 8.42/2.12    topological_t2_space(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9508])).
% 8.42/2.12  tff(f9508,axiom,(
% 8.42/2.12    topological_t2_space(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Topological__Spaces_Ot2__space_281)).
% 8.42/2.12  tff(f46122,plain,(
% 8.42/2.12    topological_t2_space($o)),
% 8.42/2.12    inference(cnf_transformation,[],[f9435])).
% 8.42/2.12  tff(f9435,axiom,(
% 8.42/2.12    topological_t2_space($o)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_HOL_Obool___Topological__Spaces_Ot2__space_229)).
% 8.42/2.12  tff(f46121,plain,(
% 8.42/2.12    topological_t2_space(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9128])).
% 8.42/2.12  tff(f9128,axiom,(
% 8.42/2.12    topological_t2_space(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Topological__Spaces_Ot2__space)).
% 8.42/2.12  tff(f46120,plain,(
% 8.42/2.12    topological_t2_space(complex)),
% 8.42/2.12    inference(cnf_transformation,[],[f9633])).
% 8.42/2.12  tff(f9633,axiom,(
% 8.42/2.12    topological_t2_space(complex)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Topological__Spaces_Ot2__space_404)).
% 8.42/2.12  tff(f46119,plain,(
% 8.42/2.12    linord181362715937106298miring(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9229])).
% 8.42/2.12  tff(f9229,axiom,(
% 8.42/2.12    linord181362715937106298miring(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Olinordered__nonzero__semiring_37)).
% 8.42/2.12  tff(f46118,plain,(
% 8.42/2.12    ordere6911136660526730532id_add(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9236])).
% 8.42/2.12  tff(f9236,axiom,(
% 8.42/2.12    ordere6911136660526730532id_add(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Oordered__comm__monoid__add_44)).
% 8.42/2.12  tff(f46117,plain,(
% 8.42/2.12    linord181362715937106298miring(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9482])).
% 8.42/2.12  tff(f9482,axiom,(
% 8.42/2.12    linord181362715937106298miring(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Olinordered__nonzero__semiring_266)).
% 8.42/2.12  tff(f46116,plain,(
% 8.42/2.12    ordere6911136660526730532id_add(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9497])).
% 8.42/2.12  tff(f9497,axiom,(
% 8.42/2.12    ordere6911136660526730532id_add(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Oordered__comm__monoid__add_273)).
% 8.42/2.12  tff(f46115,plain,(
% 8.42/2.12    linord181362715937106298miring(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9110])).
% 8.42/2.12  tff(f9110,axiom,(
% 8.42/2.12    linord181362715937106298miring(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Olinordered__nonzero__semiring)).
% 8.42/2.12  tff(f46114,plain,(
% 8.42/2.12    ordere6911136660526730532id_add(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9119])).
% 8.42/2.12  tff(f9119,axiom,(
% 8.42/2.12    ordere6911136660526730532id_add(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Oordered__comm__monoid__add)).
% 8.42/2.12  tff(f46113,plain,(
% 8.42/2.12    linord181362715937106298miring(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9790])).
% 8.42/2.12  tff(f9790,axiom,(
% 8.42/2.12    linord181362715937106298miring(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Olinordered__nonzero__semiring_560)).
% 8.42/2.12  tff(f46112,plain,(
% 8.42/2.12    ordere6911136660526730532id_add(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9796])).
% 8.42/2.12  tff(f9796,axiom,(
% 8.42/2.12    ordere6911136660526730532id_add(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Oordered__comm__monoid__add_566)).
% 8.42/2.12  tff(f46111,plain,(
% 8.42/2.12    ordere6911136660526730532id_add(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9323])).
% 8.42/2.12  tff(f9323,axiom,(
% 8.42/2.12    ordere6911136660526730532id_add(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Oordered__comm__monoid__add_125)).
% 8.42/2.12  tff(f46110,plain,(
% 8.42/2.12    linord181362715937106298miring(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9317])).
% 8.42/2.12  tff(f9317,axiom,(
% 8.42/2.12    linord181362715937106298miring(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Olinordered__nonzero__semiring_120)).
% 8.42/2.12  tff(f46109,plain,(
% 8.42/2.12    ordere6911136660526730532id_add(extended_enat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9695])).
% 8.42/2.12  tff(f9695,axiom,(
% 8.42/2.12    ordere6911136660526730532id_add(extended_enat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Oordered__comm__monoid__add_465)).
% 8.42/2.12  tff(f46108,plain,(
% 8.42/2.12    linord181362715937106298miring(extended_enat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9692])).
% 8.42/2.12  tff(f9692,axiom,(
% 8.42/2.12    linord181362715937106298miring(extended_enat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Rings_Olinordered__nonzero__semiring_462)).
% 8.42/2.12  tff(f46107,plain,(
% 8.42/2.12    semidom_divide(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9265])).
% 8.42/2.12  tff(f9265,axiom,(
% 8.42/2.12    semidom_divide(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Osemidom__divide_72)).
% 8.42/2.12  tff(f46106,plain,(
% 8.42/2.12    semidom_divide(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9535])).
% 8.42/2.12  tff(f9535,axiom,(
% 8.42/2.12    semidom_divide(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Osemidom__divide_307)).
% 8.42/2.12  tff(f46105,plain,(
% 8.42/2.12    counta3822494911875563373attice($o)),
% 8.42/2.12    inference(cnf_transformation,[],[f9424])).
% 8.42/2.12  tff(f9424,axiom,(
% 8.42/2.12    counta3822494911875563373attice($o)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_HOL_Obool___Countable__Complete__Lattices_Ocountable__complete__lattice_218)).
% 8.42/2.12  tff(f46104,plain,(
% 8.42/2.12    semidom_divide(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9155])).
% 8.42/2.12  tff(f9155,axiom,(
% 8.42/2.12    semidom_divide(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Osemidom__divide)).
% 8.42/2.12  tff(f46103,plain,(
% 8.42/2.12    semidom_divide(complex)),
% 8.42/2.12    inference(cnf_transformation,[],[f9644])).
% 8.42/2.12  tff(f9644,axiom,(
% 8.42/2.12    semidom_divide(complex)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Osemidom__divide_415)).
% 8.42/2.12  tff(f46102,plain,(
% 8.42/2.12    semidom_divide(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9827])).
% 8.42/2.12  tff(f9827,axiom,(
% 8.42/2.12    semidom_divide(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Osemidom__divide_597)).
% 8.42/2.12  tff(f46101,plain,(
% 8.42/2.12    semidom_divide(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9355])).
% 8.42/2.12  tff(f9355,axiom,(
% 8.42/2.12    semidom_divide(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Osemidom__divide_154)).
% 8.42/2.12  tff(f46100,plain,(
% 8.42/2.12    counta3822494911875563373attice(extended_enat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9682])).
% 8.42/2.12  tff(f9682,axiom,(
% 8.42/2.12    counta3822494911875563373attice(extended_enat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Countable__Complete__Lattices_Ocountable__complete__lattice_453)).
% 8.42/2.12  tff(f46099,plain,(
% 8.42/2.12    counta3822494911875563373attice(product_unit)),
% 8.42/2.12    inference(cnf_transformation,[],[f9744])).
% 8.42/2.12  tff(f9744,axiom,(
% 8.42/2.12    counta3822494911875563373attice(product_unit)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Countable__Complete__Lattices_Ocountable__complete__lattice_514)).
% 8.42/2.12  tff(f46098,plain,(
% 8.42/2.12    bounde4967611905675639751up_bot($o)),
% 8.42/2.12    inference(cnf_transformation,[],[f9429])).
% 8.42/2.12  tff(f9429,axiom,(
% 8.42/2.12    bounde4967611905675639751up_bot($o)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_HOL_Obool___Lattices_Obounded__semilattice__sup__bot_223)).
% 8.42/2.12  tff(f46097,plain,(
% 8.42/2.12    order_top($o)),
% 8.42/2.12    inference(cnf_transformation,[],[f9441])).
% 8.42/2.12  tff(f9441,axiom,(
% 8.42/2.12    order_top($o)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_HOL_Obool___Orderings_Oorder__top_235)).
% 8.42/2.12  tff(f46096,plain,(
% 8.42/2.12    bounde4967611905675639751up_bot(extended_enat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9687])).
% 8.42/2.12  tff(f9687,axiom,(
% 8.42/2.12    bounde4967611905675639751up_bot(extended_enat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Lattices_Obounded__semilattice__sup__bot_458)).
% 8.42/2.12  tff(f46095,plain,(
% 8.42/2.12    order_top(extended_enat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9716])).
% 8.42/2.12  tff(f9716,axiom,(
% 8.42/2.12    order_top(extended_enat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Orderings_Oorder__top_486)).
% 8.42/2.12  tff(f46094,plain,(
% 8.42/2.12    bounde4967611905675639751up_bot(product_unit)),
% 8.42/2.12    inference(cnf_transformation,[],[f9746])).
% 8.42/2.12  tff(f9746,axiom,(
% 8.42/2.12    bounde4967611905675639751up_bot(product_unit)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Lattices_Obounded__semilattice__sup__bot_516)).
% 8.42/2.12  tff(f46093,plain,(
% 8.42/2.12    order_top(product_unit)),
% 8.42/2.12    inference(cnf_transformation,[],[f9758])).
% 8.42/2.12  tff(f9758,axiom,(
% 8.42/2.12    order_top(product_unit)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Orderings_Oorder__top_528)).
% 8.42/2.12  tff(f46092,plain,(
% 8.42/2.12    ordere6658533253407199908up_add(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9233])).
% 8.42/2.12  tff(f9233,axiom,(
% 8.42/2.12    ordere6658533253407199908up_add(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Oordered__ab__semigroup__add_41)).
% 8.42/2.12  tff(f46091,plain,(
% 8.42/2.12    ordere6658533253407199908up_add(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9493])).
% 8.42/2.12  tff(f9493,axiom,(
% 8.42/2.12    ordere6658533253407199908up_add(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Oordered__ab__semigroup__add_270)).
% 8.42/2.12  tff(f46090,plain,(
% 8.42/2.12    ordere6658533253407199908up_add(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9115])).
% 8.42/2.12  tff(f9115,axiom,(
% 8.42/2.12    ordere6658533253407199908up_add(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Oordered__ab__semigroup__add)).
% 8.42/2.12  tff(f46089,plain,(
% 8.42/2.12    ordere6658533253407199908up_add(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9794])).
% 8.42/2.12  tff(f9794,axiom,(
% 8.42/2.12    ordere6658533253407199908up_add(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Oordered__ab__semigroup__add_564)).
% 8.42/2.12  tff(f46088,plain,(
% 8.42/2.12    ordere6658533253407199908up_add(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9320])).
% 8.42/2.12  tff(f9320,axiom,(
% 8.42/2.12    ordere6658533253407199908up_add(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Oordered__ab__semigroup__add_123)).
% 8.42/2.12  tff(f46087,plain,(
% 8.42/2.12    ordere6658533253407199908up_add(extended_enat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9694])).
% 8.42/2.12  tff(f9694,axiom,(
% 8.42/2.12    ordere6658533253407199908up_add(extended_enat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Oordered__ab__semigroup__add_464)).
% 8.42/2.12  tff(f46086,plain,(
% 8.42/2.12    comm_s4317794764714335236cancel(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9240])).
% 8.42/2.12  tff(f9240,axiom,(
% 8.42/2.12    comm_s4317794764714335236cancel(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Ocomm__semiring__1__cancel_48)).
% 8.42/2.12  tff(f46085,plain,(
% 8.42/2.12    cancel1802427076303600483id_add(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9239])).
% 8.42/2.12  tff(f9239,axiom,(
% 8.42/2.12    cancel1802427076303600483id_add(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Ocancel__comm__monoid__add_47)).
% 8.42/2.12  tff(f46084,plain,(
% 8.42/2.12    cancel1802427076303600483id_add(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9503])).
% 8.42/2.12  tff(f9503,axiom,(
% 8.42/2.12    cancel1802427076303600483id_add(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Ocancel__comm__monoid__add_278)).
% 8.42/2.12  tff(f46083,plain,(
% 8.42/2.12    comm_s4317794764714335236cancel(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9505])).
% 8.42/2.12  tff(f9505,axiom,(
% 8.42/2.12    comm_s4317794764714335236cancel(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Ocomm__semiring__1__cancel_280)).
% 8.42/2.12  tff(f46082,plain,(
% 8.42/2.12    comm_s4317794764714335236cancel(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9126])).
% 8.42/2.12  tff(f9126,axiom,(
% 8.42/2.12    comm_s4317794764714335236cancel(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Ocomm__semiring__1__cancel)).
% 8.42/2.12  tff(f46081,plain,(
% 8.42/2.12    cancel1802427076303600483id_add(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9124])).
% 8.42/2.12  tff(f9124,axiom,(
% 8.42/2.12    cancel1802427076303600483id_add(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Ocancel__comm__monoid__add)).
% 8.42/2.12  tff(f46080,plain,(
% 8.42/2.12    cancel1802427076303600483id_add(complex)),
% 8.42/2.12    inference(cnf_transformation,[],[f9629])).
% 8.42/2.12  tff(f9629,axiom,(
% 8.42/2.12    cancel1802427076303600483id_add(complex)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Ocancel__comm__monoid__add_400)).
% 8.42/2.12  tff(f46079,plain,(
% 8.42/2.12    comm_s4317794764714335236cancel(complex)),
% 8.42/2.12    inference(cnf_transformation,[],[f9630])).
% 8.42/2.12  tff(f9630,axiom,(
% 8.42/2.12    comm_s4317794764714335236cancel(complex)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Ocomm__semiring__1__cancel_401)).
% 8.42/2.12  tff(f46078,plain,(
% 8.42/2.12    cancel1802427076303600483id_add(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9800])).
% 8.42/2.12  tff(f9800,axiom,(
% 8.42/2.12    cancel1802427076303600483id_add(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Ocancel__comm__monoid__add_570)).
% 8.42/2.12  tff(f46077,plain,(
% 8.42/2.12    comm_s4317794764714335236cancel(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9802])).
% 8.42/2.12  tff(f9802,axiom,(
% 8.42/2.12    comm_s4317794764714335236cancel(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Ocomm__semiring__1__cancel_572)).
% 8.42/2.12  tff(f46076,plain,(
% 8.42/2.12    cancel1802427076303600483id_add(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9327])).
% 8.42/2.12  tff(f9327,axiom,(
% 8.42/2.12    cancel1802427076303600483id_add(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Ocancel__comm__monoid__add_129)).
% 8.42/2.12  tff(f46075,plain,(
% 8.42/2.12    comm_s4317794764714335236cancel(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9329])).
% 8.42/2.12  tff(f9329,axiom,(
% 8.42/2.12    comm_s4317794764714335236cancel(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Ocomm__semiring__1__cancel_131)).
% 8.42/2.12  tff(f46074,plain,(
% 8.42/2.12    comple9053668089753744459l_ccpo($o)),
% 8.42/2.12    inference(cnf_transformation,[],[f9436])).
% 8.42/2.12  tff(f9436,axiom,(
% 8.42/2.12    comple9053668089753744459l_ccpo($o)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_HOL_Obool___Complete__Partial__Order_Occpo_230)).
% 8.42/2.12  tff(f46073,plain,(
% 8.42/2.12    comple9053668089753744459l_ccpo(extended_enat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9698])).
% 8.42/2.12  tff(f9698,axiom,(
% 8.42/2.12    comple9053668089753744459l_ccpo(extended_enat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Complete__Partial__Order_Occpo_468)).
% 8.42/2.12  tff(f46072,plain,(
% 8.42/2.12    comple9053668089753744459l_ccpo(product_unit)),
% 8.42/2.12    inference(cnf_transformation,[],[f9752])).
% 8.42/2.12  tff(f9752,axiom,(
% 8.42/2.12    comple9053668089753744459l_ccpo(product_unit)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Complete__Partial__Order_Occpo_522)).
% 8.42/2.12  tff(f46071,plain,(
% 8.42/2.12    cancel2418104881723323429up_add(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9237])).
% 8.42/2.12  tff(f9237,axiom,(
% 8.42/2.12    cancel2418104881723323429up_add(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Ocancel__ab__semigroup__add_45)).
% 8.42/2.12  tff(f46070,plain,(
% 8.42/2.12    cancel2418104881723323429up_add(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9499])).
% 8.42/2.12  tff(f9499,axiom,(
% 8.42/2.12    cancel2418104881723323429up_add(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Ocancel__ab__semigroup__add_275)).
% 8.42/2.12  tff(f46069,plain,(
% 8.42/2.12    cancel2418104881723323429up_add(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9121])).
% 8.42/2.12  tff(f9121,axiom,(
% 8.42/2.12    cancel2418104881723323429up_add(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Ocancel__ab__semigroup__add)).
% 8.42/2.12  tff(f46068,plain,(
% 8.42/2.12    cancel2418104881723323429up_add(complex)),
% 8.42/2.12    inference(cnf_transformation,[],[f9625])).
% 8.42/2.12  tff(f9625,axiom,(
% 8.42/2.12    cancel2418104881723323429up_add(complex)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Ocancel__ab__semigroup__add_396)).
% 8.42/2.12  tff(f46067,plain,(
% 8.42/2.12    cancel2418104881723323429up_add(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9798])).
% 8.42/2.12  tff(f9798,axiom,(
% 8.42/2.12    cancel2418104881723323429up_add(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Ocancel__ab__semigroup__add_568)).
% 8.42/2.12  tff(f46066,plain,(
% 8.42/2.12    cancel2418104881723323429up_add(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9325])).
% 8.42/2.12  tff(f9325,axiom,(
% 8.42/2.12    cancel2418104881723323429up_add(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Ocancel__ab__semigroup__add_127)).
% 8.42/2.12  tff(f46065,plain,(
% 8.42/2.12    cancel_semigroup_add(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9244])).
% 8.42/2.12  tff(f9244,axiom,(
% 8.42/2.12    cancel_semigroup_add(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Ocancel__semigroup__add_52)).
% 8.42/2.12  tff(f46064,plain,(
% 8.42/2.12    ordered_semiring(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9257])).
% 8.42/2.12  tff(f9257,axiom,(
% 8.42/2.12    ordered_semiring(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Oordered__semiring_64)).
% 8.42/2.12  tff(f46063,plain,(
% 8.42/2.12    ordered_semiring(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9526])).
% 8.42/2.12  tff(f9526,axiom,(
% 8.42/2.12    ordered_semiring(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Oordered__semiring_298)).
% 8.42/2.12  tff(f46062,plain,(
% 8.42/2.12    cancel_semigroup_add(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9512])).
% 8.42/2.12  tff(f9512,axiom,(
% 8.42/2.12    cancel_semigroup_add(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Ocancel__semigroup__add_285)).
% 8.42/2.12  tff(f46061,plain,(
% 8.42/2.12    bounded_lattice($o)),
% 8.42/2.12    inference(cnf_transformation,[],[f9440])).
% 8.42/2.12  tff(f9440,axiom,(
% 8.42/2.12    bounded_lattice($o)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_HOL_Obool___Lattices_Obounded__lattice_234)).
% 8.42/2.12  tff(f46060,plain,(
% 8.42/2.12    ordered_semiring(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9144])).
% 8.42/2.12  tff(f9144,axiom,(
% 8.42/2.12    ordered_semiring(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Oordered__semiring)).
% 8.42/2.12  tff(f46059,plain,(
% 8.42/2.12    cancel_semigroup_add(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9132])).
% 8.42/2.12  tff(f9132,axiom,(
% 8.42/2.12    cancel_semigroup_add(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Ocancel__semigroup__add)).
% 8.42/2.12  tff(f46058,plain,(
% 8.42/2.12    cancel_semigroup_add(complex)),
% 8.42/2.12    inference(cnf_transformation,[],[f9634])).
% 8.42/2.12  tff(f9634,axiom,(
% 8.42/2.12    cancel_semigroup_add(complex)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Ocancel__semigroup__add_405)).
% 8.42/2.12  tff(f46057,plain,(
% 8.42/2.12    cancel_semigroup_add(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9807])).
% 8.42/2.12  tff(f9807,axiom,(
% 8.42/2.12    cancel_semigroup_add(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Ocancel__semigroup__add_577)).
% 8.42/2.12  tff(f46056,plain,(
% 8.42/2.12    ordered_semiring(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9816])).
% 8.42/2.12  tff(f9816,axiom,(
% 8.42/2.12    ordered_semiring(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Oordered__semiring_586)).
% 8.42/2.12  tff(f46055,plain,(
% 8.42/2.12    cancel_semigroup_add(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9333])).
% 8.42/2.12  tff(f9333,axiom,(
% 8.42/2.12    cancel_semigroup_add(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Ocancel__semigroup__add_135)).
% 8.42/2.12  tff(f46054,plain,(
% 8.42/2.12    ordered_semiring(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9346])).
% 8.42/2.12  tff(f9346,axiom,(
% 8.42/2.12    ordered_semiring(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Oordered__semiring_146)).
% 8.42/2.12  tff(f46053,plain,(
% 8.42/2.12    ordered_semiring(extended_enat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9706])).
% 8.42/2.12  tff(f9706,axiom,(
% 8.42/2.12    ordered_semiring(extended_enat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Rings_Oordered__semiring_476)).
% 8.42/2.12  tff(f46052,plain,(
% 8.42/2.12    bounded_lattice(extended_enat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9702])).
% 8.42/2.12  tff(f9702,axiom,(
% 8.42/2.12    bounded_lattice(extended_enat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Lattices_Obounded__lattice_472)).
% 8.42/2.12  tff(f46051,plain,(
% 8.42/2.12    bounded_lattice(product_unit)),
% 8.42/2.12    inference(cnf_transformation,[],[f9756])).
% 8.42/2.12  tff(f9756,axiom,(
% 8.42/2.12    bounded_lattice(product_unit)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Lattices_Obounded__lattice_526)).
% 8.42/2.12  tff(f46050,plain,(
% 8.42/2.12    semiri6575147826004484403cancel(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9210])).
% 8.42/2.12  tff(f9210,axiom,(
% 8.42/2.12    semiri6575147826004484403cancel(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Osemiring__no__zero__divisors__cancel_20)).
% 8.42/2.12  tff(f46049,plain,(
% 8.42/2.12    semiri1453513574482234551roduct(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9204])).
% 8.42/2.12  tff(f9204,axiom,(
% 8.42/2.12    semiri1453513574482234551roduct(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct_14)).
% 8.42/2.12  tff(f46048,plain,(
% 8.42/2.12    semiri1453513574482234551roduct(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9454])).
% 8.42/2.12  tff(f9454,axiom,(
% 8.42/2.12    semiri1453513574482234551roduct(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct_248)).
% 8.42/2.12  tff(f46047,plain,(
% 8.42/2.12    semiri6575147826004484403cancel(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9461])).
% 8.42/2.12  tff(f9461,axiom,(
% 8.42/2.12    semiri6575147826004484403cancel(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Osemiring__no__zero__divisors__cancel_250)).
% 8.42/2.12  tff(f46046,plain,(
% 8.42/2.12    semiri6575147826004484403cancel(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9091])).
% 8.42/2.12  tff(f9091,axiom,(
% 8.42/2.12    semiri6575147826004484403cancel(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Osemiring__no__zero__divisors__cancel)).
% 8.42/2.12  tff(f46045,plain,(
% 8.42/2.12    semiri1453513574482234551roduct(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9083])).
% 8.42/2.12  tff(f9083,axiom,(
% 8.42/2.12    semiri1453513574482234551roduct(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct)).
% 8.42/2.12  tff(f46044,plain,(
% 8.42/2.12    semiri6575147826004484403cancel(complex)),
% 8.42/2.12    inference(cnf_transformation,[],[f9607])).
% 8.42/2.12  tff(f9607,axiom,(
% 8.42/2.12    semiri6575147826004484403cancel(complex)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Osemiring__no__zero__divisors__cancel_378)).
% 8.42/2.12  tff(f46043,plain,(
% 8.42/2.12    semiri1453513574482234551roduct(complex)),
% 8.42/2.12    inference(cnf_transformation,[],[f9603])).
% 8.42/2.12  tff(f9603,axiom,(
% 8.42/2.12    semiri1453513574482234551roduct(complex)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct_374)).
% 8.42/2.12  tff(f46042,plain,(
% 8.42/2.12    semiri6575147826004484403cancel(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9777])).
% 8.42/2.12  tff(f9777,axiom,(
% 8.42/2.12    semiri6575147826004484403cancel(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Osemiring__no__zero__divisors__cancel_547)).
% 8.42/2.12  tff(f46041,plain,(
% 8.42/2.12    semiri1453513574482234551roduct(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9769])).
% 8.42/2.12  tff(f9769,axiom,(
% 8.42/2.12    semiri1453513574482234551roduct(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct_539)).
% 8.42/2.12  tff(f46040,plain,(
% 8.42/2.12    semiri1453513574482234551roduct(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9303])).
% 8.42/2.12  tff(f9303,axiom,(
% 8.42/2.12    semiri1453513574482234551roduct(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct_108)).
% 8.42/2.12  tff(f46039,plain,(
% 8.42/2.12    semiri6575147826004484403cancel(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9305])).
% 8.42/2.12  tff(f9305,axiom,(
% 8.42/2.12    semiri6575147826004484403cancel(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Osemiring__no__zero__divisors__cancel_110)).
% 8.42/2.12  tff(f46038,plain,(
% 8.42/2.12    semiri2026040879449505780visors(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9228])).
% 8.42/2.12  tff(f9228,axiom,(
% 8.42/2.12    semiri2026040879449505780visors(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Osemiring__1__no__zero__divisors_36)).
% 8.42/2.12  tff(f46037,plain,(
% 8.42/2.12    semiri2026040879449505780visors(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9481])).
% 8.42/2.12  tff(f9481,axiom,(
% 8.42/2.12    semiri2026040879449505780visors(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Osemiring__1__no__zero__divisors_265)).
% 8.42/2.12  tff(f46036,plain,(
% 8.42/2.12    semiri2026040879449505780visors(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9109])).
% 8.42/2.12  tff(f9109,axiom,(
% 8.42/2.12    semiri2026040879449505780visors(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Osemiring__1__no__zero__divisors)).
% 8.42/2.12  tff(f46035,plain,(
% 8.42/2.12    semiri2026040879449505780visors(complex)),
% 8.42/2.12    inference(cnf_transformation,[],[f9614])).
% 8.42/2.12  tff(f9614,axiom,(
% 8.42/2.12    semiri2026040879449505780visors(complex)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Osemiring__1__no__zero__divisors_385)).
% 8.42/2.12  tff(f46034,plain,(
% 8.42/2.12    semiri2026040879449505780visors(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9789])).
% 8.42/2.12  tff(f9789,axiom,(
% 8.42/2.12    semiri2026040879449505780visors(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Osemiring__1__no__zero__divisors_559)).
% 8.42/2.12  tff(f46033,plain,(
% 8.42/2.12    semiri2026040879449505780visors(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9316])).
% 8.42/2.12  tff(f9316,axiom,(
% 8.42/2.12    semiri2026040879449505780visors(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Osemiring__1__no__zero__divisors_119)).
% 8.42/2.12  tff(f46032,plain,(
% 8.42/2.12    strict9044650504122735259up_add(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9211])).
% 8.42/2.12  tff(f9211,axiom,(
% 8.42/2.12    strict9044650504122735259up_add(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Ostrict__ordered__ab__semigroup__add_21)).
% 8.42/2.12  tff(f46031,plain,(
% 8.42/2.12    linord4140545234300271783up_add(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9226])).
% 8.42/2.12  tff(f9226,axiom,(
% 8.42/2.12    linord4140545234300271783up_add(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Olinordered__ab__semigroup__add_34)).
% 8.42/2.12  tff(f46030,plain,(
% 8.42/2.12    zero_less_one(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9268])).
% 8.42/2.12  tff(f9268,axiom,(
% 8.42/2.12    zero_less_one(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Ozero__less__one_75)).
% 8.42/2.12  tff(f46029,plain,(
% 8.42/2.12    strict7427464778891057005id_add(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9217])).
% 8.42/2.12  tff(f9217,axiom,(
% 8.42/2.12    strict7427464778891057005id_add(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Ostrict__ordered__comm__monoid__add_26)).
% 8.42/2.12  tff(f46028,plain,(
% 8.42/2.12    linord4140545234300271783up_add(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9479])).
% 8.42/2.12  tff(f9479,axiom,(
% 8.42/2.12    linord4140545234300271783up_add(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Olinordered__ab__semigroup__add_263)).
% 8.42/2.12  tff(f46027,plain,(
% 8.42/2.12    strict9044650504122735259up_add(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9464])).
% 8.42/2.12  tff(f9464,axiom,(
% 8.42/2.12    strict9044650504122735259up_add(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Ostrict__ordered__ab__semigroup__add_251)).
% 8.42/2.12  tff(f46026,plain,(
% 8.42/2.12    strict7427464778891057005id_add(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9469])).
% 8.42/2.12  tff(f9469,axiom,(
% 8.42/2.12    strict7427464778891057005id_add(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Ostrict__ordered__comm__monoid__add_255)).
% 8.42/2.12  tff(f46025,plain,(
% 8.42/2.12    zero_less_one(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9540])).
% 8.42/2.12  tff(f9540,axiom,(
% 8.42/2.12    zero_less_one(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Ozero__less__one_312)).
% 8.42/2.12  tff(f46024,plain,(
% 8.42/2.12    bounded_lattice_bot($o)),
% 8.42/2.12    inference(cnf_transformation,[],[f9434])).
% 8.42/2.12  tff(f9434,axiom,(
% 8.42/2.12    bounded_lattice_bot($o)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_HOL_Obool___Lattices_Obounded__lattice__bot_228)).
% 8.42/2.12  tff(f46023,plain,(
% 8.42/2.12    strict7427464778891057005id_add(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9097])).
% 8.42/2.12  tff(f9097,axiom,(
% 8.42/2.12    strict7427464778891057005id_add(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Ostrict__ordered__comm__monoid__add)).
% 8.42/2.12  tff(f46022,plain,(
% 8.42/2.12    strict9044650504122735259up_add(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9092])).
% 8.42/2.12  tff(f9092,axiom,(
% 8.42/2.12    strict9044650504122735259up_add(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Ostrict__ordered__ab__semigroup__add)).
% 8.42/2.12  tff(f46021,plain,(
% 8.42/2.12    linord4140545234300271783up_add(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9106])).
% 8.42/2.12  tff(f9106,axiom,(
% 8.42/2.12    linord4140545234300271783up_add(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Olinordered__ab__semigroup__add)).
% 8.42/2.12  tff(f46020,plain,(
% 8.42/2.12    zero_less_one(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9158])).
% 8.42/2.12  tff(f9158,axiom,(
% 8.42/2.12    zero_less_one(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Ozero__less__one)).
% 8.42/2.12  tff(f46019,plain,(
% 8.42/2.12    strict9044650504122735259up_add(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9778])).
% 8.42/2.12  tff(f9778,axiom,(
% 8.42/2.12    strict9044650504122735259up_add(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Ostrict__ordered__ab__semigroup__add_548)).
% 8.42/2.12  tff(f46018,plain,(
% 8.42/2.12    strict7427464778891057005id_add(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9783])).
% 8.42/2.12  tff(f9783,axiom,(
% 8.42/2.12    strict7427464778891057005id_add(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Ostrict__ordered__comm__monoid__add_553)).
% 8.42/2.12  tff(f46017,plain,(
% 8.42/2.12    zero_less_one(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9830])).
% 8.42/2.12  tff(f9830,axiom,(
% 8.42/2.12    zero_less_one(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Ozero__less__one_600)).
% 8.42/2.12  tff(f46016,plain,(
% 8.42/2.12    linord4140545234300271783up_add(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9787])).
% 8.42/2.12  tff(f9787,axiom,(
% 8.42/2.12    linord4140545234300271783up_add(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Olinordered__ab__semigroup__add_557)).
% 8.42/2.12  tff(f46015,plain,(
% 8.42/2.12    linord4140545234300271783up_add(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9315])).
% 8.42/2.12  tff(f9315,axiom,(
% 8.42/2.12    linord4140545234300271783up_add(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Olinordered__ab__semigroup__add_118)).
% 8.42/2.12  tff(f46014,plain,(
% 8.42/2.12    strict7427464778891057005id_add(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9310])).
% 8.42/2.12  tff(f9310,axiom,(
% 8.42/2.12    strict7427464778891057005id_add(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Ostrict__ordered__comm__monoid__add_115)).
% 8.42/2.12  tff(f46013,plain,(
% 8.42/2.12    strict9044650504122735259up_add(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9306])).
% 8.42/2.12  tff(f9306,axiom,(
% 8.42/2.12    strict9044650504122735259up_add(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Ostrict__ordered__ab__semigroup__add_111)).
% 8.42/2.12  tff(f46012,plain,(
% 8.42/2.12    zero_less_one(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9360])).
% 8.42/2.12  tff(f9360,axiom,(
% 8.42/2.12    zero_less_one(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Ozero__less__one_157)).
% 8.42/2.12  tff(f46011,plain,(
% 8.42/2.12    bounded_lattice_bot(extended_enat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9696])).
% 8.42/2.12  tff(f9696,axiom,(
% 8.42/2.12    bounded_lattice_bot(extended_enat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Lattices_Obounded__lattice__bot_466)).
% 8.42/2.12  tff(f46010,plain,(
% 8.42/2.12    zero_less_one(extended_enat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9713])).
% 8.42/2.12  tff(f9713,axiom,(
% 8.42/2.12    zero_less_one(extended_enat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Rings_Ozero__less__one_483)).
% 8.42/2.12  tff(f46009,plain,(
% 8.42/2.12    linord4140545234300271783up_add(extended_enat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9690])).
% 8.42/2.12  tff(f9690,axiom,(
% 8.42/2.12    linord4140545234300271783up_add(extended_enat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Olinordered__ab__semigroup__add_460)).
% 8.42/2.12  tff(f46008,plain,(
% 8.42/2.12    strict9044650504122735259up_add(extended_enat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9684])).
% 8.42/2.12  tff(f9684,axiom,(
% 8.42/2.12    strict9044650504122735259up_add(extended_enat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Ostrict__ordered__ab__semigroup__add_455)).
% 8.42/2.12  tff(f46007,plain,(
% 8.42/2.12    strict7427464778891057005id_add(extended_enat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9685])).
% 8.42/2.12  tff(f9685,axiom,(
% 8.42/2.12    strict7427464778891057005id_add(extended_enat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Ostrict__ordered__comm__monoid__add_456)).
% 8.42/2.12  tff(f46006,plain,(
% 8.42/2.12    bounded_lattice_bot(product_unit)),
% 8.42/2.12    inference(cnf_transformation,[],[f9751])).
% 8.42/2.12  tff(f9751,axiom,(
% 8.42/2.12    bounded_lattice_bot(product_unit)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Lattices_Obounded__lattice__bot_521)).
% 8.42/2.12  tff(f46005,plain,(
% 8.42/2.12    ordere2520102378445227354miring(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9243])).
% 8.42/2.12  tff(f9243,axiom,(
% 8.42/2.12    ordere2520102378445227354miring(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Oordered__comm__semiring_51)).
% 8.42/2.12  tff(f46004,plain,(
% 8.42/2.12    semiring_1_cancel(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9252])).
% 8.42/2.12  tff(f9252,axiom,(
% 8.42/2.12    semiring_1_cancel(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Osemiring__1__cancel_60)).
% 8.42/2.12  tff(f46003,plain,(
% 8.42/2.12    ordere2520102378445227354miring(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9509])).
% 8.42/2.12  tff(f9509,axiom,(
% 8.42/2.12    ordere2520102378445227354miring(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Oordered__comm__semiring_282)).
% 8.42/2.12  tff(f46002,plain,(
% 8.42/2.12    semiring_1_cancel(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9522])).
% 8.42/2.12  tff(f9522,axiom,(
% 8.42/2.12    semiring_1_cancel(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Osemiring__1__cancel_294)).
% 8.42/2.12  tff(f46001,plain,(
% 8.42/2.12    semiring_1_cancel(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9140])).
% 8.42/2.12  tff(f9140,axiom,(
% 8.42/2.12    semiring_1_cancel(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Osemiring__1__cancel)).
% 8.42/2.12  tff(f46000,plain,(
% 8.42/2.12    ordere2520102378445227354miring(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9129])).
% 8.42/2.12  tff(f9129,axiom,(
% 8.42/2.12    ordere2520102378445227354miring(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Oordered__comm__semiring)).
% 8.42/2.12  tff(f45999,plain,(
% 8.42/2.12    semiring_1_cancel(complex)),
% 8.42/2.12    inference(cnf_transformation,[],[f9637])).
% 8.42/2.12  tff(f9637,axiom,(
% 8.42/2.12    semiring_1_cancel(complex)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Osemiring__1__cancel_408)).
% 8.42/2.12  tff(f45998,plain,(
% 8.42/2.12    ordere2520102378445227354miring(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9804])).
% 8.42/2.12  tff(f9804,axiom,(
% 8.42/2.12    ordere2520102378445227354miring(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Oordered__comm__semiring_574)).
% 8.42/2.12  tff(f45997,plain,(
% 8.42/2.12    semiring_1_cancel(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9812])).
% 8.42/2.12  tff(f9812,axiom,(
% 8.42/2.12    semiring_1_cancel(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Osemiring__1__cancel_582)).
% 8.42/2.12  tff(f45996,plain,(
% 8.42/2.12    ordere2520102378445227354miring(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9330])).
% 8.42/2.12  tff(f9330,axiom,(
% 8.42/2.12    ordere2520102378445227354miring(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Oordered__comm__semiring_132)).
% 8.42/2.12  tff(f45995,plain,(
% 8.42/2.12    semiring_1_cancel(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9342])).
% 8.42/2.12  tff(f9342,axiom,(
% 8.42/2.12    semiring_1_cancel(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Osemiring__1__cancel_143)).
% 8.42/2.12  tff(f45994,plain,(
% 8.42/2.12    ordere2520102378445227354miring(extended_enat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9697])).
% 8.42/2.12  tff(f9697,axiom,(
% 8.42/2.12    ordere2520102378445227354miring(extended_enat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Rings_Oordered__comm__semiring_467)).
% 8.42/2.12  tff(f45993,plain,(
% 8.42/2.12    ring_1(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9570])).
% 8.42/2.12  tff(f9570,axiom,(
% 8.42/2.12    ring_1(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Oring__1_341)).
% 8.42/2.12  tff(f45992,plain,(
% 8.42/2.12    ring_1(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9189])).
% 8.42/2.12  tff(f9189,axiom,(
% 8.42/2.12    ring_1(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Oring__1)).
% 8.42/2.12  tff(f45991,plain,(
% 8.42/2.12    ring_1(complex)),
% 8.42/2.12    inference(cnf_transformation,[],[f9669])).
% 8.42/2.12  tff(f9669,axiom,(
% 8.42/2.12    ring_1(complex)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Oring__1_440)).
% 8.42/2.12  tff(f45990,plain,(
% 8.42/2.12    ring_1(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9856])).
% 8.42/2.12  tff(f9856,axiom,(
% 8.42/2.12    ring_1(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Oring__1_626)).
% 8.42/2.12  tff(f45989,plain,(
% 8.42/2.12    ring_1(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9389])).
% 8.42/2.12  tff(f9389,axiom,(
% 8.42/2.12    ring_1(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Oring__1_184)).
% 8.42/2.12  tff(f45988,plain,(
% 8.42/2.12    linordered_semidom(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9247])).
% 8.42/2.12  tff(f9247,axiom,(
% 8.42/2.12    linordered_semidom(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Olinordered__semidom_55)).
% 8.42/2.12  tff(f45987,plain,(
% 8.42/2.12    linordered_semidom(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9516])).
% 8.42/2.12  tff(f9516,axiom,(
% 8.42/2.12    linordered_semidom(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Olinordered__semidom_288)).
% 8.42/2.12  tff(f45986,plain,(
% 8.42/2.12    linordered_semidom(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9135])).
% 8.42/2.12  tff(f9135,axiom,(
% 8.42/2.12    linordered_semidom(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Olinordered__semidom)).
% 8.42/2.12  tff(f45985,plain,(
% 8.42/2.12    linordered_semidom(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9810])).
% 8.42/2.12  tff(f9810,axiom,(
% 8.42/2.12    linordered_semidom(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Olinordered__semidom_580)).
% 8.42/2.12  tff(f45984,plain,(
% 8.42/2.12    linordered_semidom(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9336])).
% 8.42/2.12  tff(f9336,axiom,(
% 8.42/2.12    linordered_semidom(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Olinordered__semidom_138)).
% 8.42/2.12  tff(f45983,plain,(
% 8.42/2.12    neg_numeral(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9564])).
% 8.42/2.12  tff(f9564,axiom,(
% 8.42/2.12    neg_numeral(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Num_Oneg__numeral_335)).
% 8.42/2.12  tff(f45982,plain,(
% 8.42/2.12    neg_numeral(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9184])).
% 8.42/2.12  tff(f9184,axiom,(
% 8.42/2.12    neg_numeral(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Num_Oneg__numeral)).
% 8.42/2.12  tff(f45981,plain,(
% 8.42/2.12    neg_numeral(complex)),
% 8.42/2.12    inference(cnf_transformation,[],[f9664])).
% 8.42/2.12  tff(f9664,axiom,(
% 8.42/2.12    neg_numeral(complex)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Num_Oneg__numeral_435)).
% 8.42/2.12  tff(f45980,plain,(
% 8.42/2.12    neg_numeral(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9851])).
% 8.42/2.12  tff(f9851,axiom,(
% 8.42/2.12    neg_numeral(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Num_Oneg__numeral_621)).
% 8.42/2.12  tff(f45979,plain,(
% 8.42/2.12    neg_numeral(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9383])).
% 8.42/2.12  tff(f9383,axiom,(
% 8.42/2.12    neg_numeral(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Num_Oneg__numeral_179)).
% 8.42/2.12  tff(f45978,plain,(
% 8.42/2.12    ab_group_add(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9543])).
% 8.42/2.12  tff(f9543,axiom,(
% 8.42/2.12    ab_group_add(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Oab__group__add_315)).
% 8.42/2.12  tff(f45977,plain,(
% 8.42/2.12    ab_group_add(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9161])).
% 8.42/2.12  tff(f9161,axiom,(
% 8.42/2.12    ab_group_add(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Oab__group__add)).
% 8.42/2.12  tff(f45976,plain,(
% 8.42/2.12    ab_group_add(complex)),
% 8.42/2.12    inference(cnf_transformation,[],[f9651])).
% 8.42/2.12  tff(f9651,axiom,(
% 8.42/2.12    ab_group_add(complex)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Oab__group__add_422)).
% 8.42/2.12  tff(f45975,plain,(
% 8.42/2.12    ab_group_add(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9833])).
% 8.42/2.12  tff(f9833,axiom,(
% 8.42/2.12    ab_group_add(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Oab__group__add_603)).
% 8.42/2.12  tff(f45974,plain,(
% 8.42/2.12    ab_group_add(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9363])).
% 8.42/2.12  tff(f9363,axiom,(
% 8.42/2.12    ab_group_add(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Oab__group__add_160)).
% 8.42/2.12  tff(f45973,plain,(
% 8.42/2.12    group_add(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9560])).
% 8.42/2.12  tff(f9560,axiom,(
% 8.42/2.12    group_add(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Ogroup__add_331)).
% 8.42/2.12  tff(f45972,plain,(
% 8.42/2.12    group_add(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9178])).
% 8.42/2.12  tff(f9178,axiom,(
% 8.42/2.12    group_add(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Ogroup__add)).
% 8.42/2.12  tff(f45971,plain,(
% 8.42/2.12    group_add(complex)),
% 8.42/2.12    inference(cnf_transformation,[],[f9661])).
% 8.42/2.12  tff(f9661,axiom,(
% 8.42/2.12    group_add(complex)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Ogroup__add_432)).
% 8.42/2.12  tff(f45970,plain,(
% 8.42/2.12    group_add(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9847])).
% 8.42/2.12  tff(f9847,axiom,(
% 8.42/2.12    group_add(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Ogroup__add_617)).
% 8.42/2.12  tff(f45969,plain,(
% 8.42/2.12    group_add(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9379])).
% 8.42/2.12  tff(f9379,axiom,(
% 8.42/2.12    group_add(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Ogroup__add_175)).
% 8.42/2.12  tff(f45968,plain,(
% 8.42/2.12    condit6923001295902523014norder(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9201])).
% 8.42/2.12  tff(f9201,axiom,(
% 8.42/2.12    condit6923001295902523014norder(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Conditionally__Complete__Lattices_Oconditionally__complete__linorder_11)).
% 8.42/2.12  tff(f45967,plain,(
% 8.42/2.12    idom(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9579])).
% 8.42/2.12  tff(f9579,axiom,(
% 8.42/2.12    idom(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Oidom_350)).
% 8.42/2.12  tff(f45966,plain,(
% 8.42/2.12    condit6923001295902523014norder(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9452])).
% 8.42/2.12  tff(f9452,axiom,(
% 8.42/2.12    condit6923001295902523014norder(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Conditionally__Complete__Lattices_Oconditionally__complete__linorder_246)).
% 8.42/2.12  tff(f45965,plain,(
% 8.42/2.12    condit6923001295902523014norder(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9080])).
% 8.42/2.12  tff(f9080,axiom,(
% 8.42/2.12    condit6923001295902523014norder(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Conditionally__Complete__Lattices_Oconditionally__complete__linorder)).
% 8.42/2.12  tff(f45964,plain,(
% 8.42/2.12    idom(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9198])).
% 8.42/2.12  tff(f9198,axiom,(
% 8.42/2.12    idom(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Oidom)).
% 8.42/2.12  tff(f45963,plain,(
% 8.42/2.12    idom(complex)),
% 8.42/2.12    inference(cnf_transformation,[],[f9677])).
% 8.42/2.12  tff(f9677,axiom,(
% 8.42/2.12    idom(complex)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Oidom_448)).
% 8.42/2.12  tff(f45962,plain,(
% 8.42/2.12    idom(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9864])).
% 8.42/2.12  tff(f9864,axiom,(
% 8.42/2.12    idom(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Oidom_634)).
% 8.42/2.12  tff(f45961,plain,(
% 8.42/2.12    idom(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9398])).
% 8.42/2.12  tff(f9398,axiom,(
% 8.42/2.12    idom(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Oidom_192)).
% 8.42/2.12  tff(f45960,plain,(
% 8.42/2.12    condit6923001295902523014norder(extended_enat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9680])).
% 8.42/2.12  tff(f9680,axiom,(
% 8.42/2.12    condit6923001295902523014norder(extended_enat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Conditionally__Complete__Lattices_Oconditionally__complete__linorder_451)).
% 8.42/2.12  tff(f45959,plain,(
% 8.42/2.12    condit6923001295902523014norder(product_unit)),
% 8.42/2.12    inference(cnf_transformation,[],[f9742])).
% 8.42/2.12  tff(f9742,axiom,(
% 8.42/2.12    condit6923001295902523014norder(product_unit)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Conditionally__Complete__Lattices_Oconditionally__complete__linorder_512)).
% 8.42/2.12  tff(f45958,plain,(
% 8.42/2.12    comm_ring(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9562])).
% 8.42/2.12  tff(f9562,axiom,(
% 8.42/2.12    comm_ring(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Ocomm__ring_333)).
% 8.42/2.12  tff(f45957,plain,(
% 8.42/2.12    comm_ring(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9182])).
% 8.42/2.12  tff(f9182,axiom,(
% 8.42/2.12    comm_ring(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Ocomm__ring)).
% 8.42/2.12  tff(f45956,plain,(
% 8.42/2.12    comm_ring(complex)),
% 8.42/2.12    inference(cnf_transformation,[],[f9663])).
% 8.42/2.12  tff(f9663,axiom,(
% 8.42/2.12    comm_ring(complex)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Ocomm__ring_434)).
% 8.42/2.12  tff(f45955,plain,(
% 8.42/2.12    comm_ring(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9849])).
% 8.42/2.12  tff(f9849,axiom,(
% 8.42/2.12    comm_ring(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Ocomm__ring_619)).
% 8.42/2.12  tff(f45954,plain,(
% 8.42/2.12    comm_ring(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9381])).
% 8.42/2.12  tff(f9381,axiom,(
% 8.42/2.12    comm_ring(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Ocomm__ring_177)).
% 8.42/2.12  tff(f45953,plain,(
% 8.42/2.12    ring_char_0(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9565])).
% 8.42/2.12  tff(f9565,axiom,(
% 8.42/2.12    ring_char_0(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Nat_Oring__char__0_336)).
% 8.42/2.12  tff(f45952,plain,(
% 8.42/2.12    ring_char_0(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9185])).
% 8.42/2.12  tff(f9185,axiom,(
% 8.42/2.12    ring_char_0(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Nat_Oring__char__0)).
% 8.42/2.12  tff(f45951,plain,(
% 8.42/2.12    ring_char_0(complex)),
% 8.42/2.12    inference(cnf_transformation,[],[f9665])).
% 8.42/2.12  tff(f9665,axiom,(
% 8.42/2.12    ring_char_0(complex)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Nat_Oring__char__0_436)).
% 8.42/2.12  tff(f45950,plain,(
% 8.42/2.12    ring_char_0(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9852])).
% 8.42/2.12  tff(f9852,axiom,(
% 8.42/2.12    ring_char_0(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Nat_Oring__char__0_622)).
% 8.42/2.12  tff(f45949,plain,(
% 8.42/2.12    ring_char_0(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9384])).
% 8.42/2.12  tff(f9384,axiom,(
% 8.42/2.12    ring_char_0(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Nat_Oring__char__0_180)).
% 8.42/2.12  tff(f45948,plain,(
% 8.42/2.12    comm_ring_1(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9553])).
% 8.42/2.12  tff(f9553,axiom,(
% 8.42/2.12    comm_ring_1(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Ocomm__ring__1_324)).
% 8.42/2.12  tff(f45947,plain,(
% 8.42/2.12    comm_ring_1(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9171])).
% 8.42/2.12  tff(f9171,axiom,(
% 8.42/2.12    comm_ring_1(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Ocomm__ring__1)).
% 8.42/2.12  tff(f45946,plain,(
% 8.42/2.12    comm_ring_1(complex)),
% 8.42/2.12    inference(cnf_transformation,[],[f9657])).
% 8.42/2.12  tff(f9657,axiom,(
% 8.42/2.12    comm_ring_1(complex)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Ocomm__ring__1_428)).
% 8.42/2.12  tff(f45945,plain,(
% 8.42/2.12    comm_ring_1(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9843])).
% 8.42/2.12  tff(f9843,axiom,(
% 8.42/2.12    comm_ring_1(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Ocomm__ring__1_613)).
% 8.42/2.12  tff(f45944,plain,(
% 8.42/2.12    comm_ring_1(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9372])).
% 8.42/2.12  tff(f9372,axiom,(
% 8.42/2.12    comm_ring_1(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Ocomm__ring__1_168)).
% 8.42/2.12  tff(f45943,plain,(
% 8.42/2.12    ring(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9578])).
% 8.42/2.12  tff(f9578,axiom,(
% 8.42/2.12    ring(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Oring_349)).
% 8.42/2.12  tff(f45942,plain,(
% 8.42/2.12    ring(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9197])).
% 8.42/2.12  tff(f9197,axiom,(
% 8.42/2.12    ring(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Oring)).
% 8.42/2.12  tff(f45941,plain,(
% 8.42/2.12    ring(complex)),
% 8.42/2.12    inference(cnf_transformation,[],[f9676])).
% 8.42/2.12  tff(f9676,axiom,(
% 8.42/2.12    ring(complex)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Oring_447)).
% 8.42/2.12  tff(f45940,plain,(
% 8.42/2.12    ring(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9863])).
% 8.42/2.12  tff(f9863,axiom,(
% 8.42/2.12    ring(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Oring_633)).
% 8.42/2.12  tff(f45939,plain,(
% 8.42/2.12    ring(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9397])).
% 8.42/2.12  tff(f9397,axiom,(
% 8.42/2.12    ring(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Oring_191)).
% 8.42/2.12  tff(f45938,plain,(
% 8.42/2.12    linord8928482502909563296strict(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9231])).
% 8.42/2.12  tff(f9231,axiom,(
% 8.42/2.12    linord8928482502909563296strict(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Olinordered__semiring__strict_39)).
% 8.42/2.12  tff(f45937,plain,(
% 8.42/2.12    linord8928482502909563296strict(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9488])).
% 8.42/2.12  tff(f9488,axiom,(
% 8.42/2.12    linord8928482502909563296strict(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Olinordered__semiring__strict_268)).
% 8.42/2.12  tff(f45936,plain,(
% 8.42/2.12    linord8928482502909563296strict(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9113])).
% 8.42/2.12  tff(f9113,axiom,(
% 8.42/2.12    linord8928482502909563296strict(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Olinordered__semiring__strict)).
% 8.42/2.12  tff(f45935,plain,(
% 8.42/2.12    linord8928482502909563296strict(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9792])).
% 8.42/2.12  tff(f9792,axiom,(
% 8.42/2.12    linord8928482502909563296strict(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Olinordered__semiring__strict_562)).
% 8.42/2.12  tff(f45934,plain,(
% 8.42/2.12    linord8928482502909563296strict(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9318])).
% 8.42/2.12  tff(f9318,axiom,(
% 8.42/2.12    linord8928482502909563296strict(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Olinordered__semiring__strict_121)).
% 8.42/2.12  tff(f45933,plain,(
% 8.42/2.12    ordere2412721322843649153imp_le(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9214])).
% 8.42/2.12  tff(f9214,axiom,(
% 8.42/2.12    ordere2412721322843649153imp_le(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Oordered__ab__semigroup__add__imp__le_23)).
% 8.42/2.12  tff(f45932,plain,(
% 8.42/2.12    ordere2412721322843649153imp_le(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9466])).
% 8.42/2.12  tff(f9466,axiom,(
% 8.42/2.12    ordere2412721322843649153imp_le(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Oordered__ab__semigroup__add__imp__le_253)).
% 8.42/2.12  tff(f45931,plain,(
% 8.42/2.12    ordere2412721322843649153imp_le(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9094])).
% 8.42/2.12  tff(f9094,axiom,(
% 8.42/2.12    ordere2412721322843649153imp_le(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Oordered__ab__semigroup__add__imp__le)).
% 8.42/2.12  tff(f45930,plain,(
% 8.42/2.12    ordere2412721322843649153imp_le(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9780])).
% 8.42/2.12  tff(f9780,axiom,(
% 8.42/2.12    ordere2412721322843649153imp_le(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Oordered__ab__semigroup__add__imp__le_550)).
% 8.42/2.12  tff(f45929,plain,(
% 8.42/2.12    ordere2412721322843649153imp_le(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9308])).
% 8.42/2.12  tff(f9308,axiom,(
% 8.42/2.12    ordere2412721322843649153imp_le(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Oordered__ab__semigroup__add__imp__le_113)).
% 8.42/2.12  tff(f45928,plain,(
% 8.42/2.12    ordere580206878836729694up_add(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9213])).
% 8.42/2.12  tff(f9213,axiom,(
% 8.42/2.12    ordere580206878836729694up_add(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Oordered__cancel__ab__semigroup__add_22)).
% 8.42/2.12  tff(f45927,plain,(
% 8.42/2.12    ordere580206878836729694up_add(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9465])).
% 8.42/2.12  tff(f9465,axiom,(
% 8.42/2.12    ordere580206878836729694up_add(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Oordered__cancel__ab__semigroup__add_252)).
% 8.42/2.12  tff(f45926,plain,(
% 8.42/2.12    ordere580206878836729694up_add(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9093])).
% 8.42/2.12  tff(f9093,axiom,(
% 8.42/2.12    ordere580206878836729694up_add(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Oordered__cancel__ab__semigroup__add)).
% 8.42/2.12  tff(f45925,plain,(
% 8.42/2.12    ordere580206878836729694up_add(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9779])).
% 8.42/2.12  tff(f9779,axiom,(
% 8.42/2.12    ordere580206878836729694up_add(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Oordered__cancel__ab__semigroup__add_549)).
% 8.42/2.12  tff(f45924,plain,(
% 8.42/2.12    ordere580206878836729694up_add(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9307])).
% 8.42/2.12  tff(f9307,axiom,(
% 8.42/2.12    ordere580206878836729694up_add(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Oordered__cancel__ab__semigroup__add_112)).
% 8.42/2.12  tff(f45923,plain,(
% 8.42/2.12    ordere1937475149494474687imp_le(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9206])).
% 8.42/2.12  tff(f9206,axiom,(
% 8.42/2.12    ordere1937475149494474687imp_le(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Oordered__ab__semigroup__monoid__add__imp__le_16)).
% 8.42/2.12  tff(f45922,plain,(
% 8.42/2.12    ordere8940638589300402666id_add(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9218])).
% 8.42/2.12  tff(f9218,axiom,(
% 8.42/2.12    ordere8940638589300402666id_add(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Oordered__cancel__comm__monoid__add_27)).
% 8.42/2.12  tff(f45921,plain,(
% 8.42/2.12    ordere8940638589300402666id_add(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9470])).
% 8.42/2.12  tff(f9470,axiom,(
% 8.42/2.12    ordere8940638589300402666id_add(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Oordered__cancel__comm__monoid__add_256)).
% 8.42/2.12  tff(f45920,plain,(
% 8.42/2.12    ordere1937475149494474687imp_le(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9456])).
% 8.42/2.12  tff(f9456,axiom,(
% 8.42/2.12    ordere1937475149494474687imp_le(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Oordered__ab__semigroup__monoid__add__imp__le_249)).
% 8.42/2.12  tff(f45919,plain,(
% 8.42/2.12    ordere8940638589300402666id_add(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9098])).
% 8.42/2.12  tff(f9098,axiom,(
% 8.42/2.12    ordere8940638589300402666id_add(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Oordered__cancel__comm__monoid__add)).
% 8.42/2.12  tff(f45918,plain,(
% 8.42/2.12    ordere1937475149494474687imp_le(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9086])).
% 8.42/2.12  tff(f9086,axiom,(
% 8.42/2.12    ordere1937475149494474687imp_le(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Oordered__ab__semigroup__monoid__add__imp__le)).
% 8.42/2.12  tff(f45917,plain,(
% 8.42/2.12    ordere8940638589300402666id_add(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9784])).
% 8.42/2.12  tff(f9784,axiom,(
% 8.42/2.12    ordere8940638589300402666id_add(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Oordered__cancel__comm__monoid__add_554)).
% 8.42/2.12  tff(f45916,plain,(
% 8.42/2.12    ordere1937475149494474687imp_le(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9772])).
% 8.42/2.12  tff(f9772,axiom,(
% 8.42/2.12    ordere1937475149494474687imp_le(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Oordered__ab__semigroup__monoid__add__imp__le_542)).
% 8.42/2.12  tff(f45915,plain,(
% 8.42/2.12    ordere8940638589300402666id_add(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9311])).
% 8.42/2.12  tff(f9311,axiom,(
% 8.42/2.12    ordere8940638589300402666id_add(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Oordered__cancel__comm__monoid__add_116)).
% 8.42/2.12  tff(f45914,plain,(
% 8.42/2.12    ordere1937475149494474687imp_le(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9304])).
% 8.42/2.12  tff(f9304,axiom,(
% 8.42/2.12    ordere1937475149494474687imp_le(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Oordered__ab__semigroup__monoid__add__imp__le_109)).
% 8.42/2.12  tff(f45913,plain,(
% 8.42/2.12    idom_abs_sgn(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9547])).
% 8.42/2.12  tff(f9547,axiom,(
% 8.42/2.12    idom_abs_sgn(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Oidom__abs__sgn_319)).
% 8.42/2.12  tff(f45912,plain,(
% 8.42/2.12    idom_abs_sgn(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9164])).
% 8.42/2.12  tff(f9164,axiom,(
% 8.42/2.12    idom_abs_sgn(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Oidom__abs__sgn)).
% 8.42/2.12  tff(f45911,plain,(
% 8.42/2.12    idom_abs_sgn(complex)),
% 8.42/2.12    inference(cnf_transformation,[],[f9654])).
% 8.42/2.12  tff(f9654,axiom,(
% 8.42/2.12    idom_abs_sgn(complex)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Oidom__abs__sgn_425)).
% 8.42/2.12  tff(f45910,plain,(
% 8.42/2.12    idom_abs_sgn(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9836])).
% 8.42/2.12  tff(f9836,axiom,(
% 8.42/2.12    idom_abs_sgn(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Oidom__abs__sgn_606)).
% 8.42/2.12  tff(f45909,plain,(
% 8.42/2.12    idom_abs_sgn(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9367])).
% 8.42/2.12  tff(f9367,axiom,(
% 8.42/2.12    idom_abs_sgn(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Oidom__abs__sgn_163)).
% 8.42/2.12  tff(f45908,plain,(
% 8.42/2.12    ring_15535105094025558882visors(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9500])).
% 8.42/2.12  tff(f9500,axiom,(
% 8.42/2.12    ring_15535105094025558882visors(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Oring__1__no__zero__divisors_276)).
% 8.42/2.12  tff(f45907,plain,(
% 8.42/2.12    ring_15535105094025558882visors(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9122])).
% 8.42/2.12  tff(f9122,axiom,(
% 8.42/2.12    ring_15535105094025558882visors(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Oring__1__no__zero__divisors)).
% 8.42/2.12  tff(f45906,plain,(
% 8.42/2.12    ring_15535105094025558882visors(complex)),
% 8.42/2.12    inference(cnf_transformation,[],[f9626])).
% 8.42/2.12  tff(f9626,axiom,(
% 8.42/2.12    ring_15535105094025558882visors(complex)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Oring__1__no__zero__divisors_397)).
% 8.42/2.12  tff(f45905,plain,(
% 8.42/2.12    ring_15535105094025558882visors(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9799])).
% 8.42/2.12  tff(f9799,axiom,(
% 8.42/2.12    ring_15535105094025558882visors(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Oring__1__no__zero__divisors_569)).
% 8.42/2.12  tff(f45904,plain,(
% 8.42/2.12    ring_15535105094025558882visors(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9326])).
% 8.42/2.12  tff(f9326,axiom,(
% 8.42/2.12    ring_15535105094025558882visors(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Oring__1__no__zero__divisors_128)).
% 8.42/2.12  tff(f45903,plain,(
% 8.42/2.12    ordered_semiring_0(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9246])).
% 8.42/2.12  tff(f9246,axiom,(
% 8.42/2.12    ordered_semiring_0(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Oordered__semiring__0_54)).
% 8.42/2.12  tff(f45902,plain,(
% 8.42/2.12    ordered_semiring_0(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9515])).
% 8.42/2.12  tff(f9515,axiom,(
% 8.42/2.12    ordered_semiring_0(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Oordered__semiring__0_287)).
% 8.42/2.12  tff(f45901,plain,(
% 8.42/2.12    ordered_semiring_0(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9134])).
% 8.42/2.12  tff(f9134,axiom,(
% 8.42/2.12    ordered_semiring_0(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Oordered__semiring__0)).
% 8.42/2.12  tff(f45900,plain,(
% 8.42/2.12    ordered_semiring_0(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9809])).
% 8.42/2.12  tff(f9809,axiom,(
% 8.42/2.12    ordered_semiring_0(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Oordered__semiring__0_579)).
% 8.42/2.12  tff(f45899,plain,(
% 8.42/2.12    ordered_semiring_0(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9335])).
% 8.42/2.12  tff(f9335,axiom,(
% 8.42/2.12    ordered_semiring_0(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Oordered__semiring__0_137)).
% 8.42/2.12  tff(f45898,plain,(
% 8.42/2.12    comple592849572758109894attice($o)),
% 8.42/2.12    inference(cnf_transformation,[],[f9425])).
% 8.42/2.12  tff(f9425,axiom,(
% 8.42/2.12    comple592849572758109894attice($o)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_HOL_Obool___Complete__Lattices_Ocomplete__distrib__lattice_219)).
% 8.42/2.12  tff(f45897,plain,(
% 8.42/2.12    comple592849572758109894attice(extended_enat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9683])).
% 8.42/2.12  tff(f9683,axiom,(
% 8.42/2.12    comple592849572758109894attice(extended_enat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Complete__Lattices_Ocomplete__distrib__lattice_454)).
% 8.42/2.12  tff(f45896,plain,(
% 8.42/2.12    comple592849572758109894attice(product_unit)),
% 8.42/2.12    inference(cnf_transformation,[],[f9745])).
% 8.42/2.12  tff(f9745,axiom,(
% 8.42/2.12    comple592849572758109894attice(product_unit)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Complete__Lattices_Ocomplete__distrib__lattice_515)).
% 8.42/2.12  tff(f45895,plain,(
% 8.42/2.12    idom_divide(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9552])).
% 8.42/2.12  tff(f9552,axiom,(
% 8.42/2.12    idom_divide(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Oidom__divide_323)).
% 8.42/2.12  tff(f45894,plain,(
% 8.42/2.12    idom_divide(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9170])).
% 8.42/2.12  tff(f9170,axiom,(
% 8.42/2.12    idom_divide(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Oidom__divide)).
% 8.42/2.12  tff(f45893,plain,(
% 8.42/2.12    idom_divide(complex)),
% 8.42/2.12    inference(cnf_transformation,[],[f9656])).
% 8.42/2.12  tff(f9656,axiom,(
% 8.42/2.12    idom_divide(complex)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Oidom__divide_427)).
% 8.42/2.12  tff(f45892,plain,(
% 8.42/2.12    idom_divide(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9842])).
% 8.42/2.12  tff(f9842,axiom,(
% 8.42/2.12    idom_divide(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Oidom__divide_612)).
% 8.42/2.12  tff(f45891,plain,(
% 8.42/2.12    idom_divide(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9371])).
% 8.42/2.12  tff(f9371,axiom,(
% 8.42/2.12    idom_divide(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Oidom__divide_167)).
% 8.42/2.12  tff(f45890,plain,(
% 8.42/2.12    linord2810124833399127020strict(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9216])).
% 8.42/2.12  tff(f9216,axiom,(
% 8.42/2.12    linord2810124833399127020strict(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Olinordered__comm__semiring__strict_25)).
% 8.42/2.12  tff(f45889,plain,(
% 8.42/2.12    linordered_semiring(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9245])).
% 8.42/2.12  tff(f9245,axiom,(
% 8.42/2.12    linordered_semiring(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Olinordered__semiring_53)).
% 8.42/2.12  tff(f45888,plain,(
% 8.42/2.12    linordered_semiring(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9513])).
% 8.42/2.12  tff(f9513,axiom,(
% 8.42/2.12    linordered_semiring(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Olinordered__semiring_286)).
% 8.42/2.12  tff(f45887,plain,(
% 8.42/2.12    linord2810124833399127020strict(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9467])).
% 8.42/2.12  tff(f9467,axiom,(
% 8.42/2.12    linord2810124833399127020strict(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Olinordered__comm__semiring__strict_254)).
% 8.42/2.12  tff(f45886,plain,(
% 8.42/2.12    linordered_semiring(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9133])).
% 8.42/2.12  tff(f9133,axiom,(
% 8.42/2.12    linordered_semiring(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Olinordered__semiring)).
% 8.42/2.12  tff(f45885,plain,(
% 8.42/2.12    linord2810124833399127020strict(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9096])).
% 8.42/2.12  tff(f9096,axiom,(
% 8.42/2.12    linord2810124833399127020strict(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Olinordered__comm__semiring__strict)).
% 8.42/2.12  tff(f45884,plain,(
% 8.42/2.12    linordered_semiring(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9808])).
% 8.42/2.12  tff(f9808,axiom,(
% 8.42/2.12    linordered_semiring(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Olinordered__semiring_578)).
% 8.42/2.12  tff(f45883,plain,(
% 8.42/2.12    linord2810124833399127020strict(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9782])).
% 8.42/2.12  tff(f9782,axiom,(
% 8.42/2.12    linord2810124833399127020strict(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Olinordered__comm__semiring__strict_552)).
% 8.42/2.12  tff(f45882,plain,(
% 8.42/2.12    linord2810124833399127020strict(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9309])).
% 8.42/2.12  tff(f9309,axiom,(
% 8.42/2.12    linord2810124833399127020strict(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Olinordered__comm__semiring__strict_114)).
% 8.42/2.12  tff(f45881,plain,(
% 8.42/2.12    linordered_semiring(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9334])).
% 8.42/2.12  tff(f9334,axiom,(
% 8.42/2.12    linordered_semiring(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Olinordered__semiring_136)).
% 8.42/2.12  tff(f45880,plain,(
% 8.42/2.12    linordered_idom(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9530])).
% 8.42/2.12  tff(f9530,axiom,(
% 8.42/2.12    linordered_idom(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Olinordered__idom_302)).
% 8.42/2.12  tff(f45879,plain,(
% 8.42/2.12    linordered_idom(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9150])).
% 8.42/2.12  tff(f9150,axiom,(
% 8.42/2.12    linordered_idom(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Olinordered__idom)).
% 8.42/2.12  tff(f45878,plain,(
% 8.42/2.12    linordered_idom(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9822])).
% 8.42/2.12  tff(f9822,axiom,(
% 8.42/2.12    linordered_idom(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Olinordered__idom_592)).
% 8.42/2.12  tff(f45877,plain,(
% 8.42/2.12    linordered_idom(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9350])).
% 8.42/2.12  tff(f9350,axiom,(
% 8.42/2.12    linordered_idom(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Olinordered__idom_150)).
% 8.42/2.12  tff(f45876,plain,(
% 8.42/2.12    topolo1944317154257567458pology(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9222])).
% 8.42/2.12  tff(f9222,axiom,(
% 8.42/2.12    topolo1944317154257567458pology(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Topological__Spaces_Olinorder__topology_30)).
% 8.42/2.12  tff(f45875,plain,(
% 8.42/2.12    topolo1944317154257567458pology(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9472])).
% 8.42/2.12  tff(f9472,axiom,(
% 8.42/2.12    topolo1944317154257567458pology(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Topological__Spaces_Olinorder__topology_258)).
% 8.42/2.12  tff(f45874,plain,(
% 8.42/2.12    topolo1944317154257567458pology($o)),
% 8.42/2.12    inference(cnf_transformation,[],[f9427])).
% 8.42/2.12  tff(f9427,axiom,(
% 8.42/2.12    topolo1944317154257567458pology($o)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_HOL_Obool___Topological__Spaces_Olinorder__topology_221)).
% 8.42/2.12  tff(f45873,plain,(
% 8.42/2.12    topolo1944317154257567458pology(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9101])).
% 8.42/2.12  tff(f9101,axiom,(
% 8.42/2.12    topolo1944317154257567458pology(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Topological__Spaces_Olinorder__topology)).
% 8.42/2.12  tff(f45872,plain,(
% 8.42/2.12    ordere166539214618696060dd_abs(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9494])).
% 8.42/2.12  tff(f9494,axiom,(
% 8.42/2.12    ordere166539214618696060dd_abs(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Oordered__ab__group__add__abs_271)).
% 8.42/2.12  tff(f45871,plain,(
% 8.42/2.12    ordere166539214618696060dd_abs(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9116])).
% 8.42/2.12  tff(f9116,axiom,(
% 8.42/2.12    ordere166539214618696060dd_abs(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Oordered__ab__group__add__abs)).
% 8.42/2.12  tff(f45870,plain,(
% 8.42/2.12    ordere166539214618696060dd_abs(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9795])).
% 8.42/2.12  tff(f9795,axiom,(
% 8.42/2.12    ordere166539214618696060dd_abs(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Oordered__ab__group__add__abs_565)).
% 8.42/2.12  tff(f45869,plain,(
% 8.42/2.12    ordere166539214618696060dd_abs(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9321])).
% 8.42/2.12  tff(f9321,axiom,(
% 8.42/2.12    ordere166539214618696060dd_abs(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Oordered__ab__group__add__abs_124)).
% 8.42/2.12  tff(f45868,plain,(
% 8.42/2.12    topolo2564578578187576103pology(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9227])).
% 8.42/2.12  tff(f9227,axiom,(
% 8.42/2.12    topolo2564578578187576103pology(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Topological__Spaces_Oorder__topology_35)).
% 8.42/2.12  tff(f45867,plain,(
% 8.42/2.12    topolo2564578578187576103pology(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9480])).
% 8.42/2.12  tff(f9480,axiom,(
% 8.42/2.12    topolo2564578578187576103pology(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Topological__Spaces_Oorder__topology_264)).
% 8.42/2.12  tff(f45866,plain,(
% 8.42/2.12    topolo2564578578187576103pology($o)),
% 8.42/2.12    inference(cnf_transformation,[],[f9432])).
% 8.42/2.12  tff(f9432,axiom,(
% 8.42/2.12    topolo2564578578187576103pology($o)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_HOL_Obool___Topological__Spaces_Oorder__topology_226)).
% 8.42/2.12  tff(f45865,plain,(
% 8.42/2.12    topolo2564578578187576103pology(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9108])).
% 8.42/2.12  tff(f9108,axiom,(
% 8.42/2.12    topolo2564578578187576103pology(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Topological__Spaces_Oorder__topology)).
% 8.42/2.12  tff(f45864,plain,(
% 8.42/2.12    ordered_ab_group_add(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9511])).
% 8.42/2.12  tff(f9511,axiom,(
% 8.42/2.12    ordered_ab_group_add(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Oordered__ab__group__add_284)).
% 8.42/2.12  tff(f45863,plain,(
% 8.42/2.12    boolea8198339166811842893lgebra($o)),
% 8.42/2.12    inference(cnf_transformation,[],[f9433])).
% 8.42/2.12  tff(f9433,axiom,(
% 8.42/2.12    boolea8198339166811842893lgebra($o)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_HOL_Obool___Boolean__Algebras_Oboolean__algebra_227)).
% 8.42/2.12  tff(f45862,plain,(
% 8.42/2.12    ordered_ab_group_add(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9131])).
% 8.42/2.12  tff(f9131,axiom,(
% 8.42/2.12    ordered_ab_group_add(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Oordered__ab__group__add)).
% 8.42/2.12  tff(f45861,plain,(
% 8.42/2.12    ordered_ab_group_add(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9806])).
% 8.42/2.12  tff(f9806,axiom,(
% 8.42/2.12    ordered_ab_group_add(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Oordered__ab__group__add_576)).
% 8.42/2.12  tff(f45860,plain,(
% 8.42/2.12    ordered_ab_group_add(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9332])).
% 8.42/2.12  tff(f9332,axiom,(
% 8.42/2.12    ordered_ab_group_add(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Oordered__ab__group__add_134)).
% 8.42/2.12  tff(f45859,plain,(
% 8.42/2.12    boolea8198339166811842893lgebra(product_unit)),
% 8.42/2.12    inference(cnf_transformation,[],[f9750])).
% 8.42/2.12  tff(f9750,axiom,(
% 8.42/2.12    boolea8198339166811842893lgebra(product_unit)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Boolean__Algebras_Oboolean__algebra_520)).
% 8.42/2.12  tff(f45858,plain,(
% 8.42/2.12    topolo4211221413907600880p_mult(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9230])).
% 8.42/2.12  tff(f9230,axiom,(
% 8.42/2.12    topolo4211221413907600880p_mult(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Limits_Otopological__semigroup__mult_38)).
% 8.42/2.12  tff(f45857,plain,(
% 8.42/2.12    topolo4211221413907600880p_mult(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9485])).
% 8.42/2.12  tff(f9485,axiom,(
% 8.42/2.12    topolo4211221413907600880p_mult(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Limits_Otopological__semigroup__mult_267)).
% 8.42/2.12  tff(f45856,plain,(
% 8.42/2.12    linord4710134922213307826strict(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9504])).
% 8.42/2.12  tff(f9504,axiom,(
% 8.42/2.12    linord4710134922213307826strict(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Olinordered__ring__strict_279)).
% 8.42/2.12  tff(f45855,plain,(
% 8.42/2.12    topolo4211221413907600880p_mult(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9111])).
% 8.42/2.12  tff(f9111,axiom,(
% 8.42/2.12    topolo4211221413907600880p_mult(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Limits_Otopological__semigroup__mult)).
% 8.42/2.12  tff(f45854,plain,(
% 8.42/2.12    linord4710134922213307826strict(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9125])).
% 8.42/2.12  tff(f9125,axiom,(
% 8.42/2.12    linord4710134922213307826strict(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Olinordered__ring__strict)).
% 8.42/2.12  tff(f45853,plain,(
% 8.42/2.12    topolo4211221413907600880p_mult(complex)),
% 8.42/2.12    inference(cnf_transformation,[],[f9617])).
% 8.42/2.12  tff(f9617,axiom,(
% 8.42/2.12    topolo4211221413907600880p_mult(complex)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Limits_Otopological__semigroup__mult_388)).
% 8.42/2.12  tff(f45852,plain,(
% 8.42/2.12    linord4710134922213307826strict(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9801])).
% 8.42/2.12  tff(f9801,axiom,(
% 8.42/2.12    linord4710134922213307826strict(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Olinordered__ring__strict_571)).
% 8.42/2.12  tff(f45851,plain,(
% 8.42/2.12    linord4710134922213307826strict(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9328])).
% 8.42/2.12  tff(f9328,axiom,(
% 8.42/2.12    linord4710134922213307826strict(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Olinordered__ring__strict_130)).
% 8.42/2.12  tff(f45850,plain,(
% 8.42/2.12    linord5086331880401160121up_add(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9498])).
% 8.42/2.12  tff(f9498,axiom,(
% 8.42/2.12    linord5086331880401160121up_add(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Olinordered__ab__group__add_274)).
% 8.42/2.12  tff(f45849,plain,(
% 8.42/2.12    linord5086331880401160121up_add(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9120])).
% 8.42/2.12  tff(f9120,axiom,(
% 8.42/2.12    linord5086331880401160121up_add(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Olinordered__ab__group__add)).
% 8.42/2.12  tff(f45848,plain,(
% 8.42/2.12    linord5086331880401160121up_add(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9797])).
% 8.42/2.12  tff(f9797,axiom,(
% 8.42/2.12    linord5086331880401160121up_add(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Olinordered__ab__group__add_567)).
% 8.42/2.12  tff(f45847,plain,(
% 8.42/2.12    linord5086331880401160121up_add(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9324])).
% 8.42/2.12  tff(f9324,axiom,(
% 8.42/2.12    linord5086331880401160121up_add(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Olinordered__ab__group__add_126)).
% 8.42/2.12  tff(f45846,plain,(
% 8.42/2.12    no_top(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9280])).
% 8.42/2.12  tff(f9280,axiom,(
% 8.42/2.12    no_top(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Orderings_Ono__top_86)).
% 8.42/2.12  tff(f45845,plain,(
% 8.42/2.12    no_top(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9557])).
% 8.42/2.12  tff(f9557,axiom,(
% 8.42/2.12    no_top(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Orderings_Ono__top_328)).
% 8.42/2.12  tff(f45844,plain,(
% 8.42/2.12    no_top(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9175])).
% 8.42/2.12  tff(f9175,axiom,(
% 8.42/2.12    no_top(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Orderings_Ono__top)).
% 8.42/2.12  tff(f45843,plain,(
% 8.42/2.12    no_top(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9376])).
% 8.42/2.12  tff(f9376,axiom,(
% 8.42/2.12    no_top(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Orderings_Ono__top_172)).
% 8.42/2.12  tff(f45842,plain,(
% 8.42/2.12    topolo6943815403480290642id_add(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9238])).
% 8.42/2.12  tff(f9238,axiom,(
% 8.42/2.12    topolo6943815403480290642id_add(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Limits_Otopological__monoid__add_46)).
% 8.42/2.12  tff(f45841,plain,(
% 8.42/2.12    ordered_ring(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9546])).
% 8.42/2.12  tff(f9546,axiom,(
% 8.42/2.12    ordered_ring(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Oordered__ring_318)).
% 8.42/2.12  tff(f45840,plain,(
% 8.42/2.12    topolo6943815403480290642id_add(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9502])).
% 8.42/2.12  tff(f9502,axiom,(
% 8.42/2.12    topolo6943815403480290642id_add(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Limits_Otopological__monoid__add_277)).
% 8.42/2.12  tff(f45839,plain,(
% 8.42/2.12    ordered_ring(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9163])).
% 8.42/2.12  tff(f9163,axiom,(
% 8.42/2.12    ordered_ring(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Oordered__ring)).
% 8.42/2.12  tff(f45838,plain,(
% 8.42/2.12    topolo6943815403480290642id_add(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9123])).
% 8.42/2.12  tff(f9123,axiom,(
% 8.42/2.12    topolo6943815403480290642id_add(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Limits_Otopological__monoid__add)).
% 8.42/2.12  tff(f45837,plain,(
% 8.42/2.12    topolo6943815403480290642id_add(complex)),
% 8.42/2.12    inference(cnf_transformation,[],[f9628])).
% 8.42/2.12  tff(f9628,axiom,(
% 8.42/2.12    topolo6943815403480290642id_add(complex)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Limits_Otopological__monoid__add_399)).
% 8.42/2.12  tff(f45836,plain,(
% 8.42/2.12    ordered_ring(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9835])).
% 8.42/2.12  tff(f9835,axiom,(
% 8.42/2.12    ordered_ring(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Oordered__ring_605)).
% 8.42/2.12  tff(f45835,plain,(
% 8.42/2.12    ordered_ring(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9366])).
% 8.42/2.12  tff(f9366,axiom,(
% 8.42/2.12    ordered_ring(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Oordered__ring_162)).
% 8.42/2.12  tff(f45834,plain,(
% 8.42/2.12    topolo5987344860129210374id_add(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9225])).
% 8.42/2.12  tff(f9225,axiom,(
% 8.42/2.12    topolo5987344860129210374id_add(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Limits_Otopological__comm__monoid__add_33)).
% 8.42/2.12  tff(f45833,plain,(
% 8.42/2.12    linordered_ring(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9529])).
% 8.42/2.12  tff(f9529,axiom,(
% 8.42/2.12    linordered_ring(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Olinordered__ring_301)).
% 8.42/2.12  tff(f45832,plain,(
% 8.42/2.12    topolo5987344860129210374id_add(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9478])).
% 8.42/2.12  tff(f9478,axiom,(
% 8.42/2.12    topolo5987344860129210374id_add(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Limits_Otopological__comm__monoid__add_262)).
% 8.42/2.12  tff(f45831,plain,(
% 8.42/2.12    topolo5987344860129210374id_add(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9105])).
% 8.42/2.12  tff(f9105,axiom,(
% 8.42/2.12    topolo5987344860129210374id_add(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Limits_Otopological__comm__monoid__add)).
% 8.42/2.12  tff(f45830,plain,(
% 8.42/2.12    linordered_ring(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9149])).
% 8.42/2.12  tff(f9149,axiom,(
% 8.42/2.12    linordered_ring(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Olinordered__ring)).
% 8.42/2.12  tff(f45829,plain,(
% 8.42/2.12    topolo5987344860129210374id_add(complex)),
% 8.42/2.12    inference(cnf_transformation,[],[f9613])).
% 8.42/2.12  tff(f9613,axiom,(
% 8.42/2.12    topolo5987344860129210374id_add(complex)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Limits_Otopological__comm__monoid__add_384)).
% 8.42/2.12  tff(f45828,plain,(
% 8.42/2.12    linordered_ring(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9821])).
% 8.42/2.12  tff(f9821,axiom,(
% 8.42/2.12    linordered_ring(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Olinordered__ring_591)).
% 8.42/2.12  tff(f45827,plain,(
% 8.42/2.12    linordered_ring(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9349])).
% 8.42/2.12  tff(f9349,axiom,(
% 8.42/2.12    linordered_ring(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Olinordered__ring_149)).
% 8.42/2.12  tff(f45826,plain,(
% 8.42/2.12    abs_if(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9571])).
% 8.42/2.12  tff(f9571,axiom,(
% 8.42/2.12    abs_if(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Oabs__if_342)).
% 8.42/2.12  tff(f45825,plain,(
% 8.42/2.12    abs_if(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9190])).
% 8.42/2.12  tff(f9190,axiom,(
% 8.42/2.12    abs_if(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Oabs__if)).
% 8.42/2.12  tff(f45824,plain,(
% 8.42/2.12    abs_if(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9857])).
% 8.42/2.12  tff(f9857,axiom,(
% 8.42/2.12    abs_if(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Oabs__if_627)).
% 8.42/2.12  tff(f45823,plain,(
% 8.42/2.12    abs_if(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9390])).
% 8.42/2.12  tff(f9390,axiom,(
% 8.42/2.12    abs_if(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Oabs__if_185)).
% 8.42/2.12  tff(f45822,plain,(
% 8.42/2.12    linord715952674999750819strict(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9476])).
% 8.42/2.12  tff(f9476,axiom,(
% 8.42/2.12    linord715952674999750819strict(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Olinordered__semiring__1__strict_260)).
% 8.42/2.12  tff(f45821,plain,(
% 8.42/2.12    ordered_ring_abs(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9527])).
% 8.42/2.12  tff(f9527,axiom,(
% 8.42/2.12    ordered_ring_abs(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Oordered__ring__abs_299)).
% 8.42/2.12  tff(f45820,plain,(
% 8.42/2.12    linord6961819062388156250ring_1(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9510])).
% 8.42/2.12  tff(f9510,axiom,(
% 8.42/2.12    linord6961819062388156250ring_1(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Olinordered__semiring__1_283)).
% 8.42/2.12  tff(f45819,plain,(
% 8.42/2.12    ordered_ring_abs(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9145])).
% 8.42/2.12  tff(f9145,axiom,(
% 8.42/2.12    ordered_ring_abs(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Oordered__ring__abs)).
% 8.42/2.12  tff(f45818,plain,(
% 8.42/2.12    linord715952674999750819strict(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9104])).
% 8.42/2.12  tff(f9104,axiom,(
% 8.42/2.12    linord715952674999750819strict(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Olinordered__semiring__1__strict)).
% 8.42/2.12  tff(f45817,plain,(
% 8.42/2.12    linord6961819062388156250ring_1(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9130])).
% 8.42/2.12  tff(f9130,axiom,(
% 8.42/2.12    linord6961819062388156250ring_1(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Olinordered__semiring__1)).
% 8.42/2.12  tff(f45816,plain,(
% 8.42/2.12    linord6961819062388156250ring_1(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9805])).
% 8.42/2.12  tff(f9805,axiom,(
% 8.42/2.12    linord6961819062388156250ring_1(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Olinordered__semiring__1_575)).
% 8.42/2.12  tff(f45815,plain,(
% 8.42/2.12    ordered_ring_abs(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9817])).
% 8.42/2.12  tff(f9817,axiom,(
% 8.42/2.12    ordered_ring_abs(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Oordered__ring__abs_587)).
% 8.42/2.12  tff(f45814,plain,(
% 8.42/2.12    linord715952674999750819strict(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9786])).
% 8.42/2.12  tff(f9786,axiom,(
% 8.42/2.12    linord715952674999750819strict(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Olinordered__semiring__1__strict_556)).
% 8.42/2.12  tff(f45813,plain,(
% 8.42/2.12    ordered_ring_abs(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9347])).
% 8.42/2.12  tff(f9347,axiom,(
% 8.42/2.12    ordered_ring_abs(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Oordered__ring__abs_147)).
% 8.42/2.12  tff(f45812,plain,(
% 8.42/2.12    linord6961819062388156250ring_1(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9331])).
% 8.42/2.12  tff(f9331,axiom,(
% 8.42/2.12    linord6961819062388156250ring_1(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Olinordered__semiring__1_133)).
% 8.42/2.12  tff(f45811,plain,(
% 8.42/2.12    linord715952674999750819strict(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9313])).
% 8.42/2.12  tff(f9313,axiom,(
% 8.42/2.12    linord715952674999750819strict(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Olinordered__semiring__1__strict_117)).
% 8.42/2.12  tff(f45810,plain,(
% 8.42/2.12    bit_se359711467146920520ations(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9215])).
% 8.42/2.12  tff(f9215,axiom,(
% 8.42/2.12    bit_se359711467146920520ations(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Bit__Operations_Osemiring__bit__operations_24)).
% 8.42/2.12  tff(f45809,plain,(
% 8.42/2.12    bit_se359711467146920520ations(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9095])).
% 8.42/2.12  tff(f9095,axiom,(
% 8.42/2.12    bit_se359711467146920520ations(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Bit__Operations_Osemiring__bit__operations)).
% 8.42/2.12  tff(f45808,plain,(
% 8.42/2.12    bit_se359711467146920520ations(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9781])).
% 8.42/2.12  tff(f9781,axiom,(
% 8.42/2.12    bit_se359711467146920520ations(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Bit__Operations_Osemiring__bit__operations_551)).
% 8.42/2.12  tff(f45807,plain,(
% 8.42/2.12    division_ring(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9539])).
% 8.42/2.12  tff(f9539,axiom,(
% 8.42/2.12    division_ring(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Fields_Odivision__ring_311)).
% 8.42/2.12  tff(f45806,plain,(
% 8.42/2.12    division_ring(complex)),
% 8.42/2.12    inference(cnf_transformation,[],[f9648])).
% 8.42/2.12  tff(f9648,axiom,(
% 8.42/2.12    division_ring(complex)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Fields_Odivision__ring_419)).
% 8.42/2.12  tff(f45805,plain,(
% 8.42/2.12    division_ring(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9359])).
% 8.42/2.12  tff(f9359,axiom,(
% 8.42/2.12    division_ring(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Fields_Odivision__ring)).
% 8.42/2.12  tff(f45804,plain,(
% 8.42/2.12    bit_un5681908812861735899ations(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9203])).
% 8.42/2.12  tff(f9203,axiom,(
% 8.42/2.12    bit_un5681908812861735899ations(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Bit__Operations_Ounique__euclidean__semiring__with__bit__operations_13)).
% 8.42/2.12  tff(f45803,plain,(
% 8.42/2.12    bit_un5681908812861735899ations(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9082])).
% 8.42/2.12  tff(f9082,axiom,(
% 8.42/2.12    bit_un5681908812861735899ations(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Bit__Operations_Ounique__euclidean__semiring__with__bit__operations)).
% 8.42/2.12  tff(f45802,plain,(
% 8.42/2.12    bit_un5681908812861735899ations(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9768])).
% 8.42/2.12  tff(f9768,axiom,(
% 8.42/2.12    bit_un5681908812861735899ations(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Bit__Operations_Ounique__euclidean__semiring__with__bit__operations_538)).
% 8.42/2.12  tff(f45801,plain,(
% 8.42/2.12    field(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9573])).
% 8.42/2.12  tff(f9573,axiom,(
% 8.42/2.12    field(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Fields_Ofield_344)).
% 8.42/2.12  tff(f45800,plain,(
% 8.42/2.12    field(complex)),
% 8.42/2.12    inference(cnf_transformation,[],[f9671])).
% 8.42/2.12  tff(f9671,axiom,(
% 8.42/2.12    field(complex)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Fields_Ofield_442)).
% 8.42/2.12  tff(f45799,plain,(
% 8.42/2.12    field(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9392])).
% 8.42/2.12  tff(f9392,axiom,(
% 8.42/2.12    field(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Fields_Ofield)).
% 8.42/2.12  tff(f45798,plain,(
% 8.42/2.12    field_char_0(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9544])).
% 8.42/2.12  tff(f9544,axiom,(
% 8.42/2.12    field_char_0(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Fields_Ofield__char__0_316)).
% 8.42/2.12  tff(f45797,plain,(
% 8.42/2.12    field_char_0(complex)),
% 8.42/2.12    inference(cnf_transformation,[],[f9652])).
% 8.42/2.12  tff(f9652,axiom,(
% 8.42/2.12    field_char_0(complex)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Fields_Ofield__char__0_423)).
% 8.42/2.12  tff(f45796,plain,(
% 8.42/2.12    field_char_0(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9364])).
% 8.42/2.12  tff(f9364,axiom,(
% 8.42/2.12    field_char_0(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Fields_Ofield__char__0)).
% 8.42/2.12  tff(f45795,plain,(
% 8.42/2.12    algebraic_semidom(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9253])).
% 8.42/2.12  tff(f9253,axiom,(
% 8.42/2.12    algebraic_semidom(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Oalgebraic__semidom_61)).
% 8.42/2.12  tff(f45794,plain,(
% 8.42/2.12    algebraic_semidom(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9141])).
% 8.42/2.12  tff(f9141,axiom,(
% 8.42/2.12    algebraic_semidom(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Oalgebraic__semidom)).
% 8.42/2.12  tff(f45793,plain,(
% 8.42/2.12    algebraic_semidom(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9813])).
% 8.42/2.12  tff(f9813,axiom,(
% 8.42/2.12    algebraic_semidom(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Oalgebraic__semidom_583)).
% 8.42/2.12  tff(f45792,plain,(
% 8.42/2.12    unique1627219031080169319umeral(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9209])).
% 8.42/2.12  tff(f9209,axiom,(
% 8.42/2.12    unique1627219031080169319umeral(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Divides_Ounique__euclidean__semiring__numeral_19)).
% 8.42/2.12  tff(f45791,plain,(
% 8.42/2.12    unique1627219031080169319umeral(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9089])).
% 8.42/2.12  tff(f9089,axiom,(
% 8.42/2.12    unique1627219031080169319umeral(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Divides_Ounique__euclidean__semiring__numeral)).
% 8.42/2.12  tff(f45790,plain,(
% 8.42/2.12    unique1627219031080169319umeral(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9775])).
% 8.42/2.12  tff(f9775,axiom,(
% 8.42/2.12    unique1627219031080169319umeral(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Divides_Ounique__euclidean__semiring__numeral_545)).
% 8.42/2.12  tff(f45789,plain,(
% 8.42/2.12    euclid4440199948858584721cancel(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9208])).
% 8.42/2.12  tff(f9208,axiom,(
% 8.42/2.12    euclid4440199948858584721cancel(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Euclidean__Division_Oeuclidean__semiring__cancel_18)).
% 8.42/2.12  tff(f45788,plain,(
% 8.42/2.12    euclid4440199948858584721cancel(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9088])).
% 8.42/2.12  tff(f9088,axiom,(
% 8.42/2.12    euclid4440199948858584721cancel(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Euclidean__Division_Oeuclidean__semiring__cancel)).
% 8.42/2.12  tff(f45787,plain,(
% 8.42/2.12    euclid4440199948858584721cancel(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9774])).
% 8.42/2.12  tff(f9774,axiom,(
% 8.42/2.12    euclid4440199948858584721cancel(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Euclidean__Division_Oeuclidean__semiring__cancel_544)).
% 8.42/2.12  tff(f45786,plain,(
% 8.42/2.12    bit_semiring_bits(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9241])).
% 8.42/2.12  tff(f9241,axiom,(
% 8.42/2.12    bit_semiring_bits(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Bit__Operations_Osemiring__bits_49)).
% 8.42/2.12  tff(f45785,plain,(
% 8.42/2.12    bit_semiring_bits(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9127])).
% 8.42/2.12  tff(f9127,axiom,(
% 8.42/2.12    bit_semiring_bits(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Bit__Operations_Osemiring__bits)).
% 8.42/2.12  tff(f45784,plain,(
% 8.42/2.12    bit_semiring_bits(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9803])).
% 8.42/2.12  tff(f9803,axiom,(
% 8.42/2.12    bit_semiring_bits(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Bit__Operations_Osemiring__bits_573)).
% 8.42/2.12  tff(f45783,plain,(
% 8.42/2.12    semiring_parity(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9258])).
% 8.42/2.12  tff(f9258,axiom,(
% 8.42/2.12    semiring_parity(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Parity_Osemiring__parity_65)).
% 8.42/2.12  tff(f45782,plain,(
% 8.42/2.12    semiring_parity(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9146])).
% 8.42/2.12  tff(f9146,axiom,(
% 8.42/2.12    semiring_parity(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Parity_Osemiring__parity)).
% 8.42/2.12  tff(f45781,plain,(
% 8.42/2.12    semiring_parity(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9818])).
% 8.42/2.12  tff(f9818,axiom,(
% 8.42/2.12    semiring_parity(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Parity_Osemiring__parity_588)).
% 8.42/2.12  tff(f45780,plain,(
% 8.42/2.12    euclid5411537665997757685th_nat(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9205])).
% 8.42/2.12  tff(f9205,axiom,(
% 8.42/2.12    euclid5411537665997757685th_nat(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Euclidean__Division_Ounique__euclidean__semiring__with__nat_15)).
% 8.42/2.12  tff(f45779,plain,(
% 8.42/2.12    euclid5411537665997757685th_nat(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9084])).
% 8.42/2.12  tff(f9084,axiom,(
% 8.42/2.12    euclid5411537665997757685th_nat(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Euclidean__Division_Ounique__euclidean__semiring__with__nat)).
% 8.42/2.12  tff(f45778,plain,(
% 8.42/2.12    euclid5411537665997757685th_nat(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9770])).
% 8.42/2.12  tff(f9770,axiom,(
% 8.42/2.12    euclid5411537665997757685th_nat(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Euclidean__Division_Ounique__euclidean__semiring__with__nat_540)).
% 8.42/2.12  tff(f45777,plain,(
% 8.42/2.12    no_bot(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9558])).
% 8.42/2.12  tff(f9558,axiom,(
% 8.42/2.12    no_bot(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Orderings_Ono__bot_329)).
% 8.42/2.12  tff(f45776,plain,(
% 8.42/2.12    no_bot(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9176])).
% 8.42/2.12  tff(f9176,axiom,(
% 8.42/2.12    no_bot(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Orderings_Ono__bot)).
% 8.42/2.12  tff(f45775,plain,(
% 8.42/2.12    no_bot(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9377])).
% 8.42/2.12  tff(f9377,axiom,(
% 8.42/2.12    no_bot(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Orderings_Ono__bot_173)).
% 8.42/2.12  tff(f45774,plain,(
% 8.42/2.12    semiring_modulo(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9260])).
% 8.42/2.12  tff(f9260,axiom,(
% 8.42/2.12    semiring_modulo(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Osemiring__modulo_67)).
% 8.42/2.12  tff(f45773,plain,(
% 8.42/2.12    semiring_modulo(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9148])).
% 8.42/2.12  tff(f9148,axiom,(
% 8.42/2.12    semiring_modulo(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Osemiring__modulo)).
% 8.42/2.12  tff(f45772,plain,(
% 8.42/2.12    semiring_modulo(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9820])).
% 8.42/2.12  tff(f9820,axiom,(
% 8.42/2.12    semiring_modulo(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Osemiring__modulo_590)).
% 8.42/2.12  tff(f45771,plain,(
% 8.42/2.12    semidom_modulo(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9264])).
% 8.42/2.12  tff(f9264,axiom,(
% 8.42/2.12    semidom_modulo(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Osemidom__modulo_71)).
% 8.42/2.12  tff(f45770,plain,(
% 8.42/2.12    semidom_modulo(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9154])).
% 8.42/2.12  tff(f9154,axiom,(
% 8.42/2.12    semidom_modulo(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Osemidom__modulo)).
% 8.42/2.12  tff(f45769,plain,(
% 8.42/2.12    semidom_modulo(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9826])).
% 8.42/2.12  tff(f9826,axiom,(
% 8.42/2.12    semidom_modulo(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Osemidom__modulo_596)).
% 8.42/2.12  tff(f45768,plain,(
% 8.42/2.12    wellorder(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9270])).
% 8.42/2.12  tff(f9270,axiom,(
% 8.42/2.12    wellorder(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Orderings_Owellorder)).
% 8.42/2.12  tff(f45767,plain,(
% 8.42/2.12    field_abs_sgn(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9538])).
% 8.42/2.12  tff(f9538,axiom,(
% 8.42/2.12    field_abs_sgn(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Fields_Ofield__abs__sgn_310)).
% 8.42/2.12  tff(f45766,plain,(
% 8.42/2.12    field_abs_sgn(complex)),
% 8.42/2.12    inference(cnf_transformation,[],[f9647])).
% 8.42/2.12  tff(f9647,axiom,(
% 8.42/2.12    field_abs_sgn(complex)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Fields_Ofield__abs__sgn_418)).
% 8.42/2.12  tff(f45765,plain,(
% 8.42/2.12    field_abs_sgn(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9358])).
% 8.42/2.12  tff(f9358,axiom,(
% 8.42/2.12    field_abs_sgn(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Fields_Ofield__abs__sgn)).
% 8.42/2.12  tff(f45764,plain,(
% 8.42/2.12    wellorder(extended_enat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9715])).
% 8.42/2.12  tff(f9715,axiom,(
% 8.42/2.12    wellorder(extended_enat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Orderings_Owellorder_485)).
% 8.42/2.12  tff(f45763,plain,(
% 8.42/2.12    wellorder(product_unit)),
% 8.42/2.12    inference(cnf_transformation,[],[f9757])).
% 8.42/2.12  tff(f9757,axiom,(
% 8.42/2.12    wellorder(product_unit)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Orderings_Owellorder_527)).
% 8.42/2.12  tff(f45762,plain,(
% 8.42/2.12    inverse(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9567])).
% 8.42/2.12  tff(f9567,axiom,(
% 8.42/2.12    inverse(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Fields_Oinverse_338)).
% 8.42/2.12  tff(f45761,plain,(
% 8.42/2.12    inverse(complex)),
% 8.42/2.12    inference(cnf_transformation,[],[f9667])).
% 8.42/2.12  tff(f9667,axiom,(
% 8.42/2.12    inverse(complex)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Fields_Oinverse_438)).
% 8.42/2.12  tff(f45760,plain,(
% 8.42/2.12    inverse(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9386])).
% 8.42/2.12  tff(f9386,axiom,(
% 8.42/2.12    inverse(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Fields_Oinverse)).
% 8.42/2.12  tff(f45759,plain,(
% 8.42/2.12    euclid3128863361964157862miring(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9207])).
% 8.42/2.12  tff(f9207,axiom,(
% 8.42/2.12    euclid3128863361964157862miring(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Euclidean__Division_Ounique__euclidean__semiring_17)).
% 8.42/2.12  tff(f45758,plain,(
% 8.42/2.12    euclid3725896446679973847miring(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9220])).
% 8.42/2.12  tff(f9220,axiom,(
% 8.42/2.12    euclid3725896446679973847miring(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Euclidean__Division_Oeuclidean__semiring_28)).
% 8.42/2.12  tff(f45757,plain,(
% 8.42/2.12    euclid3725896446679973847miring(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9099])).
% 8.42/2.12  tff(f9099,axiom,(
% 8.42/2.12    euclid3725896446679973847miring(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Euclidean__Division_Oeuclidean__semiring)).
% 8.42/2.12  tff(f45756,plain,(
% 8.42/2.12    euclid3128863361964157862miring(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9087])).
% 8.42/2.12  tff(f9087,axiom,(
% 8.42/2.12    euclid3128863361964157862miring(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Euclidean__Division_Ounique__euclidean__semiring)).
% 8.42/2.12  tff(f45755,plain,(
% 8.42/2.12    euclid3725896446679973847miring(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9785])).
% 8.42/2.12  tff(f9785,axiom,(
% 8.42/2.12    euclid3725896446679973847miring(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Euclidean__Division_Oeuclidean__semiring_555)).
% 8.42/2.12  tff(f45754,plain,(
% 8.42/2.12    euclid3128863361964157862miring(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9773])).
% 8.42/2.12  tff(f9773,axiom,(
% 8.42/2.12    euclid3128863361964157862miring(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Euclidean__Division_Ounique__euclidean__semiring_543)).
% 8.42/2.12  tff(f45753,plain,(
% 8.42/2.12    topolo8865339358273720382pology(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9223])).
% 8.42/2.12  tff(f9223,axiom,(
% 8.42/2.12    topolo8865339358273720382pology(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Topological__Spaces_Odiscrete__topology_31)).
% 8.42/2.12  tff(f45752,plain,(
% 8.42/2.12    topolo8865339358273720382pology($o)),
% 8.42/2.12    inference(cnf_transformation,[],[f9428])).
% 8.42/2.12  tff(f9428,axiom,(
% 8.42/2.12    topolo8865339358273720382pology($o)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_HOL_Obool___Topological__Spaces_Odiscrete__topology_222)).
% 8.42/2.12  tff(f45751,plain,(
% 8.42/2.12    topolo8865339358273720382pology(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9102])).
% 8.42/2.12  tff(f9102,axiom,(
% 8.42/2.12    topolo8865339358273720382pology(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Topological__Spaces_Odiscrete__topology)).
% 8.42/2.12  tff(f45750,plain,(
% 8.42/2.12    real_V822414075346904944vector(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9468])).
% 8.42/2.12  tff(f9468,axiom,(
% 8.42/2.12    real_V822414075346904944vector(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Real__Vector__Spaces_Oreal__normed__vector)).
% 8.42/2.12  tff(f45749,plain,(
% 8.42/2.12    real_V822414075346904944vector(complex)),
% 8.42/2.12    inference(cnf_transformation,[],[f9609])).
% 8.42/2.12  tff(f9609,axiom,(
% 8.42/2.12    real_V822414075346904944vector(complex)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Real__Vector__Spaces_Oreal__normed__vector_380)).
% 8.42/2.12  tff(f45748,plain,(
% 8.42/2.12    real_V3459762299906320749_field(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9473])).
% 8.42/2.12  tff(f9473,axiom,(
% 8.42/2.12    real_V3459762299906320749_field(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Real__Vector__Spaces_Oreal__normed__field)).
% 8.42/2.12  tff(f45747,plain,(
% 8.42/2.12    real_V3459762299906320749_field(complex)),
% 8.42/2.12    inference(cnf_transformation,[],[f9611])).
% 8.42/2.12  tff(f9611,axiom,(
% 8.42/2.12    real_V3459762299906320749_field(complex)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Real__Vector__Spaces_Oreal__normed__field_382)).
% 8.42/2.12  tff(f45746,plain,(
% 8.42/2.12    real_Vector_banach(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9514])).
% 8.42/2.12  tff(f9514,axiom,(
% 8.42/2.12    real_Vector_banach(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Real__Vector__Spaces_Obanach)).
% 8.42/2.12  tff(f45745,plain,(
% 8.42/2.12    real_Vector_banach(complex)),
% 8.42/2.12    inference(cnf_transformation,[],[f9635])).
% 8.42/2.12  tff(f9635,axiom,(
% 8.42/2.12    real_Vector_banach(complex)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Real__Vector__Spaces_Obanach_406)).
% 8.42/2.12  tff(f45744,plain,(
% 8.42/2.12    linordered_field(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9525])).
% 8.42/2.12  tff(f9525,axiom,(
% 8.42/2.12    linordered_field(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Fields_Olinordered__field_297)).
% 8.42/2.12  tff(f45743,plain,(
% 8.42/2.12    linordered_field(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9345])).
% 8.42/2.12  tff(f9345,axiom,(
% 8.42/2.12    linordered_field(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Fields_Olinordered__field)).
% 8.42/2.12  tff(f45742,plain,(
% 8.42/2.12    archim2362893244070406136eiling(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9495])).
% 8.42/2.12  tff(f9495,axiom,(
% 8.42/2.12    archim2362893244070406136eiling(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Archimedean__Field_Ofloor__ceiling_272)).
% 8.42/2.12  tff(f45741,plain,(
% 8.42/2.12    archim2362893244070406136eiling(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9322])).
% 8.42/2.12  tff(f9322,axiom,(
% 8.42/2.12    archim2362893244070406136eiling(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Archimedean__Field_Ofloor__ceiling)).
% 8.42/2.12  tff(f45740,plain,(
% 8.42/2.12    bit_ri3973907225187159222ations(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9107])).
% 8.42/2.12  tff(f9107,axiom,(
% 8.42/2.12    bit_ri3973907225187159222ations(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Bit__Operations_Oring__bit__operations)).
% 8.42/2.12  tff(f45739,plain,(
% 8.42/2.12    bit_ri3973907225187159222ations(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9788])).
% 8.42/2.12  tff(f9788,axiom,(
% 8.42/2.12    bit_ri3973907225187159222ations(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Bit__Operations_Oring__bit__operations_558)).
% 8.42/2.12  tff(f45738,plain,(
% 8.42/2.12    real_V2822296259951069270ebra_1(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9460])).
% 8.42/2.12  tff(f9460,axiom,(
% 8.42/2.12    real_V2822296259951069270ebra_1(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Real__Vector__Spaces_Oreal__normed__algebra__1)).
% 8.42/2.12  tff(f45737,plain,(
% 8.42/2.12    real_V2822296259951069270ebra_1(complex)),
% 8.42/2.12    inference(cnf_transformation,[],[f9606])).
% 8.42/2.12  tff(f9606,axiom,(
% 8.42/2.12    real_V2822296259951069270ebra_1(complex)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Real__Vector__Spaces_Oreal__normed__algebra__1_377)).
% 8.42/2.12  tff(f45736,plain,(
% 8.42/2.12    real_V8999393235501362500lgebra(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9459])).
% 8.42/2.12  tff(f9459,axiom,(
% 8.42/2.12    real_V8999393235501362500lgebra(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Real__Vector__Spaces_Oreal__normed__div__algebra)).
% 8.42/2.12  tff(f45735,plain,(
% 8.42/2.12    real_V4412858255891104859lgebra(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9462])).
% 8.42/2.12  tff(f9462,axiom,(
% 8.42/2.12    real_V4412858255891104859lgebra(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Real__Vector__Spaces_Oreal__normed__algebra)).
% 8.42/2.12  tff(f45734,plain,(
% 8.42/2.12    real_V8999393235501362500lgebra(complex)),
% 8.42/2.12    inference(cnf_transformation,[],[f9605])).
% 8.42/2.12  tff(f9605,axiom,(
% 8.42/2.12    real_V8999393235501362500lgebra(complex)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Real__Vector__Spaces_Oreal__normed__div__algebra_376)).
% 8.42/2.12  tff(f45733,plain,(
% 8.42/2.12    real_V4412858255891104859lgebra(complex)),
% 8.42/2.12    inference(cnf_transformation,[],[f9608])).
% 8.42/2.12  tff(f9608,axiom,(
% 8.42/2.12    real_V4412858255891104859lgebra(complex)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Real__Vector__Spaces_Oreal__normed__algebra_379)).
% 8.42/2.12  tff(f45732,plain,(
% 8.42/2.12    real_V7819770556892013058_space(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9491])).
% 8.42/2.12  tff(f9491,axiom,(
% 8.42/2.12    real_V7819770556892013058_space(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Real__Vector__Spaces_Ometric__space)).
% 8.42/2.12  tff(f45731,plain,(
% 8.42/2.12    real_V7819770556892013058_space(complex)),
% 8.42/2.12    inference(cnf_transformation,[],[f9622])).
% 8.42/2.12  tff(f9622,axiom,(
% 8.42/2.12    real_V7819770556892013058_space(complex)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Real__Vector__Spaces_Ometric__space_393)).
% 8.42/2.12  tff(f45730,plain,(
% 8.42/2.12    dense_linorder(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9517])).
% 8.42/2.12  tff(f9517,axiom,(
% 8.42/2.12    dense_linorder(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Orderings_Odense__linorder_289)).
% 8.42/2.12  tff(f45729,plain,(
% 8.42/2.12    dense_linorder(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9337])).
% 8.42/2.12  tff(f9337,axiom,(
% 8.42/2.12    dense_linorder(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Orderings_Odense__linorder)).
% 8.42/2.12  tff(f45728,plain,(
% 8.42/2.12    real_V2191834092415804123ebra_1(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9483])).
% 8.42/2.12  tff(f9483,axiom,(
% 8.42/2.12    real_V2191834092415804123ebra_1(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Real__Vector__Spaces_Oreal__algebra__1)).
% 8.42/2.12  tff(f45727,plain,(
% 8.42/2.12    real_V4867850818363320053vector(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9496])).
% 8.42/2.12  tff(f9496,axiom,(
% 8.42/2.12    real_V4867850818363320053vector(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Real__Vector__Spaces_Oreal__vector)).
% 8.42/2.12  tff(f45726,plain,(
% 8.42/2.12    real_V2191834092415804123ebra_1(complex)),
% 8.42/2.12    inference(cnf_transformation,[],[f9615])).
% 8.42/2.12  tff(f9615,axiom,(
% 8.42/2.12    real_V2191834092415804123ebra_1(complex)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Real__Vector__Spaces_Oreal__algebra__1_386)).
% 8.42/2.12  tff(f45725,plain,(
% 8.42/2.12    real_V4867850818363320053vector(complex)),
% 8.42/2.12    inference(cnf_transformation,[],[f9624])).
% 8.42/2.12  tff(f9624,axiom,(
% 8.42/2.12    real_V4867850818363320053vector(complex)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Real__Vector__Spaces_Oreal__vector_395)).
% 8.42/2.12  tff(f45724,plain,(
% 8.42/2.12    comple5582772986160207858norder(extended_enat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9689])).
% 8.42/2.12  tff(f9689,axiom,(
% 8.42/2.12    comple5582772986160207858norder(extended_enat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Complete__Lattices_Ocomplete__linorder)).
% 8.42/2.12  tff(f45723,plain,(
% 8.42/2.12    comple5582772986160207858norder(product_unit)),
% 8.42/2.12    inference(cnf_transformation,[],[f9748])).
% 8.42/2.12  tff(f9748,axiom,(
% 8.42/2.12    comple5582772986160207858norder(product_unit)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Complete__Lattices_Ocomplete__linorder_518)).
% 8.42/2.12  tff(f45722,plain,(
% 8.42/2.12    canoni5634975068530333245id_add(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9219])).
% 8.42/2.12  tff(f9219,axiom,(
% 8.42/2.12    canoni5634975068530333245id_add(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Ocanonically__ordered__monoid__add)).
% 8.42/2.12  tff(f45721,plain,(
% 8.42/2.12    canoni5634975068530333245id_add(extended_enat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9686])).
% 8.42/2.12  tff(f9686,axiom,(
% 8.42/2.12    canoni5634975068530333245id_add(extended_enat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Ocanonically__ordered__monoid__add_457)).
% 8.42/2.12  tff(f45720,plain,(
% 8.42/2.12    euclid8851590272496341667cancel(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9090])).
% 8.42/2.12  tff(f9090,axiom,(
% 8.42/2.12    euclid8851590272496341667cancel(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Euclidean__Division_Oeuclidean__ring__cancel)).
% 8.42/2.12  tff(f45719,plain,(
% 8.42/2.12    euclid8851590272496341667cancel(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9776])).
% 8.42/2.12  tff(f9776,axiom,(
% 8.42/2.12    euclid8851590272496341667cancel(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Euclidean__Division_Oeuclidean__ring__cancel_546)).
% 8.42/2.12  tff(f45718,plain,(
% 8.42/2.12    semiring_gcd(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9282])).
% 8.42/2.12  tff(f9282,axiom,(
% 8.42/2.12    semiring_gcd(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___GCD_Osemiring__gcd_88)).
% 8.42/2.12  tff(f45717,plain,(
% 8.42/2.12    semiring_gcd(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9179])).
% 8.42/2.12  tff(f9179,axiom,(
% 8.42/2.12    semiring_gcd(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___GCD_Osemiring__gcd)).
% 8.42/2.12  tff(f45716,plain,(
% 8.42/2.12    topolo3112930676232923870pology(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9458])).
% 8.42/2.12  tff(f9458,axiom,(
% 8.42/2.12    topolo3112930676232923870pology(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Topological__Spaces_Ofirst__countable__topology)).
% 8.42/2.12  tff(f45715,plain,(
% 8.42/2.12    topolo3112930676232923870pology(complex)),
% 8.42/2.12    inference(cnf_transformation,[],[f9604])).
% 8.42/2.12  tff(f9604,axiom,(
% 8.42/2.12    topolo3112930676232923870pology(complex)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Topological__Spaces_Ofirst__countable__topology_375)).
% 8.42/2.12  tff(f45714,plain,(
% 8.42/2.12    archim462609752435547400_field(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9475])).
% 8.42/2.12  tff(f9475,axiom,(
% 8.42/2.12    archim462609752435547400_field(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Archimedean__Field_Oarchimedean__field_259)).
% 8.42/2.12  tff(f45713,plain,(
% 8.42/2.12    archim462609752435547400_field(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9312])).
% 8.42/2.12  tff(f9312,axiom,(
% 8.42/2.12    archim462609752435547400_field(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Archimedean__Field_Oarchimedean__field)).
% 8.42/2.12  tff(f45712,plain,(
% 8.42/2.12    topolo1633459387980952147up_add(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9507])).
% 8.42/2.12  tff(f9507,axiom,(
% 8.42/2.12    topolo1633459387980952147up_add(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Limits_Otopological__group__add)).
% 8.42/2.12  tff(f45711,plain,(
% 8.42/2.12    topolo1633459387980952147up_add(complex)),
% 8.42/2.12    inference(cnf_transformation,[],[f9632])).
% 8.42/2.12  tff(f9632,axiom,(
% 8.42/2.12    topolo1633459387980952147up_add(complex)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Limits_Otopological__group__add_403)).
% 8.42/2.12  tff(f45710,plain,(
% 8.42/2.12    topolo1898628316856586783d_mult(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9235])).
% 8.42/2.12  tff(f9235,axiom,(
% 8.42/2.12    topolo1898628316856586783d_mult(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Limits_Otopological__monoid__mult_43)).
% 8.42/2.12  tff(f45709,plain,(
% 8.42/2.12    unboun7993243217541854897norder(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9477])).
% 8.42/2.12  tff(f9477,axiom,(
% 8.42/2.12    unboun7993243217541854897norder(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Orderings_Ounbounded__dense__linorder_261)).
% 8.42/2.12  tff(f45708,plain,(
% 8.42/2.12    topolo1898628316856586783d_mult(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9118])).
% 8.42/2.12  tff(f9118,axiom,(
% 8.42/2.12    topolo1898628316856586783d_mult(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Limits_Otopological__monoid__mult)).
% 8.42/2.12  tff(f45707,plain,(
% 8.42/2.12    unboun7993243217541854897norder(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9314])).
% 8.42/2.12  tff(f9314,axiom,(
% 8.42/2.12    unboun7993243217541854897norder(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Orderings_Ounbounded__dense__linorder)).
% 8.42/2.12  tff(f45706,plain,(
% 8.42/2.12    semiring_Gcd(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9283])).
% 8.42/2.12  tff(f9283,axiom,(
% 8.42/2.12    semiring_Gcd(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___GCD_Osemiring__Gcd_89)).
% 8.42/2.12  tff(f45705,plain,(
% 8.42/2.12    semiring_Gcd(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9180])).
% 8.42/2.12  tff(f9180,axiom,(
% 8.42/2.12    semiring_Gcd(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___GCD_Osemiring__Gcd)).
% 8.42/2.12  tff(f45704,plain,(
% 8.42/2.12    real_V7773925162809079976_field(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9501])).
% 8.42/2.12  tff(f9501,axiom,(
% 8.42/2.12    real_V7773925162809079976_field(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Real__Vector__Spaces_Oreal__field)).
% 8.42/2.12  tff(f45703,plain,(
% 8.42/2.12    real_V7773925162809079976_field(complex)),
% 8.42/2.12    inference(cnf_transformation,[],[f9627])).
% 8.42/2.12  tff(f9627,axiom,(
% 8.42/2.12    real_V7773925162809079976_field(complex)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Real__Vector__Spaces_Oreal__field_398)).
% 8.42/2.12  tff(f45702,plain,(
% 8.42/2.12    topolo4987421752381908075d_mult(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9224])).
% 8.42/2.12  tff(f9224,axiom,(
% 8.42/2.12    topolo4987421752381908075d_mult(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Limits_Otopological__comm__monoid__mult_32)).
% 8.42/2.12  tff(f45701,plain,(
% 8.42/2.12    topolo1287966508704411220up_add(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9492])).
% 8.42/2.12  tff(f9492,axiom,(
% 8.42/2.12    topolo1287966508704411220up_add(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Limits_Otopological__ab__group__add)).
% 8.42/2.12  tff(f45700,plain,(
% 8.42/2.12    topolo4987421752381908075d_mult(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9103])).
% 8.42/2.12  tff(f9103,axiom,(
% 8.42/2.12    topolo4987421752381908075d_mult(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Limits_Otopological__comm__monoid__mult)).
% 8.42/2.12  tff(f45699,plain,(
% 8.42/2.12    topolo1287966508704411220up_add(complex)),
% 8.42/2.12    inference(cnf_transformation,[],[f9623])).
% 8.42/2.12  tff(f9623,axiom,(
% 8.42/2.12    topolo1287966508704411220up_add(complex)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Limits_Otopological__ab__group__add_394)).
% 8.42/2.12  tff(f45698,plain,(
% 8.42/2.12    topolo7287701948861334536_space(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9486])).
% 8.42/2.12  tff(f9486,axiom,(
% 8.42/2.12    topolo7287701948861334536_space(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Topological__Spaces_Ouniform__space)).
% 8.42/2.12  tff(f45697,plain,(
% 8.42/2.12    dense_order(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9533])).
% 8.42/2.12  tff(f9533,axiom,(
% 8.42/2.12    dense_order(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Orderings_Odense__order_305)).
% 8.42/2.12  tff(f45696,plain,(
% 8.42/2.12    topolo8386298272705272623_space(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9487])).
% 8.42/2.12  tff(f9487,axiom,(
% 8.42/2.12    topolo8386298272705272623_space(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Topological__Spaces_Operfect__space)).
% 8.42/2.12  tff(f45695,plain,(
% 8.42/2.12    real_V8037385150606011577_space(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9484])).
% 8.42/2.12  tff(f9484,axiom,(
% 8.42/2.12    real_V8037385150606011577_space(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Real__Vector__Spaces_Ocomplete__space)).
% 8.42/2.12  tff(f45694,plain,(
% 8.42/2.12    real_V6157519004096292374lgebra(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9490])).
% 8.42/2.12  tff(f9490,axiom,(
% 8.42/2.12    real_V6157519004096292374lgebra(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Real__Vector__Spaces_Oreal__algebra)).
% 8.42/2.12  tff(f45693,plain,(
% 8.42/2.12    euclid8789492081693882211th_nat(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9085])).
% 8.42/2.12  tff(f9085,axiom,(
% 8.42/2.12    euclid8789492081693882211th_nat(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Euclidean__Division_Ounique__euclidean__ring__with__nat)).
% 8.42/2.12  tff(f45692,plain,(
% 8.42/2.12    ring_parity(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9165])).
% 8.42/2.12  tff(f9165,axiom,(
% 8.42/2.12    ring_parity(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Parity_Oring__parity)).
% 8.42/2.12  tff(f45691,plain,(
% 8.42/2.12    topolo8386298272705272623_space(complex)),
% 8.42/2.12    inference(cnf_transformation,[],[f9619])).
% 8.42/2.12  tff(f9619,axiom,(
% 8.42/2.12    topolo8386298272705272623_space(complex)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Topological__Spaces_Operfect__space_390)).
% 8.42/2.12  tff(f45690,plain,(
% 8.42/2.12    topolo7287701948861334536_space(complex)),
% 8.42/2.12    inference(cnf_transformation,[],[f9618])).
% 8.42/2.12  tff(f9618,axiom,(
% 8.42/2.12    topolo7287701948861334536_space(complex)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Topological__Spaces_Ouniform__space_389)).
% 8.42/2.12  tff(f45689,plain,(
% 8.42/2.12    real_V8037385150606011577_space(complex)),
% 8.42/2.12    inference(cnf_transformation,[],[f9616])).
% 8.42/2.12  tff(f9616,axiom,(
% 8.42/2.12    real_V8037385150606011577_space(complex)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Real__Vector__Spaces_Ocomplete__space_387)).
% 8.42/2.12  tff(f45688,plain,(
% 8.42/2.12    real_V6157519004096292374lgebra(complex)),
% 8.42/2.12    inference(cnf_transformation,[],[f9621])).
% 8.42/2.12  tff(f9621,axiom,(
% 8.42/2.12    real_V6157519004096292374lgebra(complex)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Real__Vector__Spaces_Oreal__algebra_392)).
% 8.42/2.12  tff(f45687,plain,(
% 8.42/2.12    ring_parity(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9837])).
% 8.42/2.12  tff(f9837,axiom,(
% 8.42/2.12    ring_parity(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Parity_Oring__parity_607)).
% 8.42/2.12  tff(f45686,plain,(
% 8.42/2.12    euclid8789492081693882211th_nat(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9771])).
% 8.42/2.12  tff(f9771,axiom,(
% 8.42/2.12    euclid8789492081693882211th_nat(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Euclidean__Division_Ounique__euclidean__ring__with__nat_541)).
% 8.42/2.12  tff(f45685,plain,(
% 8.42/2.12    dense_order(rat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9353])).
% 8.42/2.12  tff(f9353,axiom,(
% 8.42/2.12    dense_order(rat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Orderings_Odense__order)).
% 8.42/2.12  tff(f45684,plain,(
% 8.42/2.12    semiri6843258321239162965malize(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9234])).
% 8.42/2.12  tff(f9234,axiom,(
% 8.42/2.12    semiri6843258321239162965malize(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___GCD_Osemiring__gcd__mult__normalize_42)).
% 8.42/2.12  tff(f45683,plain,(
% 8.42/2.12    real_V6936659425649961206t_norm(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9506])).
% 8.42/2.12  tff(f9506,axiom,(
% 8.42/2.12    real_V6936659425649961206t_norm(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Real__Vector__Spaces_Odist__norm)).
% 8.42/2.12  tff(f45682,plain,(
% 8.42/2.12    real_V5047593784448816457lgebra(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9474])).
% 8.42/2.12  tff(f9474,axiom,(
% 8.42/2.12    real_V5047593784448816457lgebra(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Real__Vector__Spaces_Oreal__div__algebra)).
% 8.42/2.12  tff(f45681,plain,(
% 8.42/2.12    idom_modulo(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9169])).
% 8.42/2.12  tff(f9169,axiom,(
% 8.42/2.12    idom_modulo(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Oidom__modulo)).
% 8.42/2.12  tff(f45680,plain,(
% 8.42/2.12    euclid5891614535332579305n_ring(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9112])).
% 8.42/2.12  tff(f9112,axiom,(
% 8.42/2.12    euclid5891614535332579305n_ring(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Euclidean__Division_Oeuclidean__ring)).
% 8.42/2.12  tff(f45679,plain,(
% 8.42/2.12    semiri6843258321239162965malize(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9117])).
% 8.42/2.12  tff(f9117,axiom,(
% 8.42/2.12    semiri6843258321239162965malize(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___GCD_Osemiring__gcd__mult__normalize)).
% 8.42/2.12  tff(f45678,plain,(
% 8.42/2.12    real_V6936659425649961206t_norm(complex)),
% 8.42/2.12    inference(cnf_transformation,[],[f9631])).
% 8.42/2.12  tff(f9631,axiom,(
% 8.42/2.12    real_V6936659425649961206t_norm(complex)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Real__Vector__Spaces_Odist__norm_402)).
% 8.42/2.12  tff(f45677,plain,(
% 8.42/2.12    real_V5047593784448816457lgebra(complex)),
% 8.42/2.12    inference(cnf_transformation,[],[f9612])).
% 8.42/2.12  tff(f9612,axiom,(
% 8.42/2.12    real_V5047593784448816457lgebra(complex)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Real__Vector__Spaces_Oreal__div__algebra_383)).
% 8.42/2.12  tff(f45676,plain,(
% 8.42/2.12    idom_modulo(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9841])).
% 8.42/2.12  tff(f9841,axiom,(
% 8.42/2.12    idom_modulo(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Oidom__modulo_611)).
% 8.42/2.12  tff(f45675,plain,(
% 8.42/2.12    euclid5891614535332579305n_ring(code_integer)),
% 8.42/2.12    inference(cnf_transformation,[],[f9791])).
% 8.42/2.12  tff(f9791,axiom,(
% 8.42/2.12    euclid5891614535332579305n_ring(code_integer)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Euclidean__Division_Oeuclidean__ring_561)).
% 8.42/2.12  tff(f45674,plain,(
% 8.42/2.12    real_V5355595471888546746vector(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9463])).
% 8.42/2.12  tff(f9463,axiom,(
% 8.42/2.12    real_V5355595471888546746vector(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Real__Vector__Spaces_Oordered__real__vector)).
% 8.42/2.12  tff(f45673,plain,(
% 8.42/2.12    ordere1170586879665033532d_diff(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9212])).
% 8.42/2.12  tff(f9212,axiom,(
% 8.42/2.12    ordere1170586879665033532d_diff(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Oordered__cancel__comm__monoid__diff)).
% 8.42/2.12  tff(f45672,plain,(
% 8.42/2.12    ln(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9551])).
% 8.42/2.12  tff(f9551,axiom,(
% 8.42/2.12    ln(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Transcendental_Oln)).
% 8.42/2.12  tff(f45671,plain,(
% 8.42/2.12    topolo8458572112393995274pology(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9457])).
% 8.42/2.12  tff(f9457,axiom,(
% 8.42/2.12    topolo8458572112393995274pology(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Topological__Spaces_Olinear__continuum__topology)).
% 8.42/2.12  tff(f45670,plain,(
% 8.42/2.12    ring_gcd(int)),
% 8.42/2.12    inference(cnf_transformation,[],[f9192])).
% 8.42/2.12  tff(f9192,axiom,(
% 8.42/2.12    ring_gcd(int)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___GCD_Oring__gcd)).
% 8.42/2.12  tff(f45669,plain,(
% 8.42/2.12    comm_monoid_diff(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f9255])).
% 8.42/2.12  tff(f9255,axiom,(
% 8.42/2.12    comm_monoid_diff(nat)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Ocomm__monoid__diff)).
% 8.42/2.12  tff(f45668,plain,(
% 8.42/2.12    condit5016429287641298734tinuum(real)),
% 8.42/2.12    inference(cnf_transformation,[],[f9455])).
% 8.42/2.12  tff(f9455,axiom,(
% 8.42/2.12    condit5016429287641298734tinuum(real)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Conditionally__Complete__Lattices_Olinear__continuum)).
% 8.42/2.12  tff(f45667,plain,(
% 8.42/2.12    semiring_1(a)),
% 8.42/2.12    inference(cnf_transformation,[],[f9873])).
% 8.42/2.12  tff(f9873,axiom,(
% 8.42/2.12    semiring_1(a)),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_0)).
% 8.42/2.12  tff(f45666,plain,(
% 8.42/2.12    (aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(za,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),vEBT_VEBT_low(za,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) != $true)),
% 8.42/2.12    inference(cnf_transformation,[],[f21084])).
% 8.42/2.12  tff(f21084,plain,(
% 8.42/2.12    (aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(za,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),vEBT_VEBT_low(za,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) != $true)),
% 8.42/2.12    inference(flattening,[],[f9879])).
% 8.42/2.12  tff(f9879,plain,(
% 8.42/2.12    ~(aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(za,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),vEBT_VEBT_low(za,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) = $true)),
% 8.42/2.12    inference(fool_elimination,[],[f9878])).
% 8.42/2.12  tff(f9878,plain,(
% 8.42/2.12    ~aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(za,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),vEBT_VEBT_low(za,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),
% 8.42/2.12    inference(rectify,[],[f9875])).
% 8.42/2.12  tff(f9875,negated_conjecture,(
% 8.42/2.12    ~aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(za,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),vEBT_VEBT_low(za,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),
% 8.42/2.12    inference(negated_conjecture,[],[f9874])).
% 8.42/2.12  tff(f9874,conjecture,(
% 8.42/2.12    aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(za,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),vEBT_VEBT_low(za,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),
% 8.42/2.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 8.42/2.12  tff(f9876,plain,(
% 8.42/2.12    ($true != $false)),
% 8.42/2.12    introduced(fool_axiom,[])).
% 8.42/2.12  tff(f9877,plain,(
% 8.42/2.12    ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 8.42/2.12    introduced(fool_axiom,[])).
% 8.42/2.12  tff(f45664,plain,(
% 8.42/2.12    aa(nat,option(nat),some(nat),mi) = iG97 | (aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),mi),xa) != $true)),
% 8.42/2.12    inference(cnf_transformation,[],[f26426])).
% 8.42/2.12  tff(f26426,plain,(
% 8.42/2.12    (none(nat) = iG97 | (aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),mi),xa) = $true)) & (aa(nat,option(nat),some(nat),mi) = iG97 | (aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),mi),xa) != $true))),
% 8.42/2.12    inference(ennf_transformation,[],[f21083])).
% 8.42/2.12  tff(f21083,plain,(
% 8.42/2.12    ((aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),mi),xa) != $true) => none(nat) = iG97) & ((aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),mi),xa) = $true) => aa(nat,option(nat),some(nat),mi) = iG97)),
% 8.42/2.12    inference(flattening,[],[f9883])).
% 8.42/2.12  tff(f45665,plain,(
% 8.42/2.12    none(nat) = iG97 | (aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),mi),xa) = $true)),
% 8.42/2.12    inference(cnf_transformation,[],[f26426])).
% 8.42/2.12  tff(f45662,plain,(
% 8.42/2.12    iG97 = iG98 | vEBT_vebt_pred(summary,vEBT_VEBT_high(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) != none(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f26425])).
% 8.42/2.12  tff(f26425,plain,(
% 8.42/2.12    (aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_add,aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_mul,aa(nat,option(nat),some(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),vEBT_vebt_pred(summary,vEBT_VEBT_high(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(option(nat),nat,the2(nat),vEBT_vebt_pred(summary,vEBT_VEBT_high(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))))) = iG98 | vEBT_vebt_pred(summary,vEBT_VEBT_high(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) = none(nat)) & (iG97 = iG98 | vEBT_vebt_pred(summary,vEBT_VEBT_high(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) != none(nat))),
% 8.42/2.12    inference(ennf_transformation,[],[f21082])).
% 8.42/2.12  tff(f21082,plain,(
% 8.42/2.12    (vEBT_vebt_pred(summary,vEBT_VEBT_high(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) != none(nat) => aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_add,aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_mul,aa(nat,option(nat),some(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),vEBT_vebt_pred(summary,vEBT_VEBT_high(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(option(nat),nat,the2(nat),vEBT_vebt_pred(summary,vEBT_VEBT_high(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))))) = iG98) & (vEBT_vebt_pred(summary,vEBT_VEBT_high(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) = none(nat) => iG97 = iG98)),
% 8.42/2.12    inference(flattening,[],[f9884])).
% 8.42/2.12  tff(f45663,plain,(
% 8.42/2.12    aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_add,aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_mul,aa(nat,option(nat),some(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),vEBT_vebt_pred(summary,vEBT_VEBT_high(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(option(nat),nat,the2(nat),vEBT_vebt_pred(summary,vEBT_VEBT_high(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))))) = iG98 | vEBT_vebt_pred(summary,vEBT_VEBT_high(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) = none(nat)),
% 8.42/2.12    inference(cnf_transformation,[],[f26425])).
% 8.42/2.12  tff(f45661,plain,(
% 8.42/2.12    vEBT_vebt_pred(summary,vEBT_VEBT_high(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) = pr20),
% 8.42/2.12    inference(cnf_transformation,[],[f9887])).
% 8.42/2.12  tff(f45659,plain,(
% 8.42/2.12    aa(nat,option(nat),some(nat),mi) = iG99 | (aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),mi),xa) != $true)),
% 8.42/2.12    inference(cnf_transformation,[],[f26424])).
% 8.42/2.12  tff(f26424,plain,(
% 8.42/2.12    (none(nat) = iG99 | (aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),mi),xa) = $true)) & (aa(nat,option(nat),some(nat),mi) = iG99 | (aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),mi),xa) != $true))),
% 8.42/2.12    inference(ennf_transformation,[],[f21081])).
% 8.42/2.12  tff(f21081,plain,(
% 8.42/2.12    ((aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),mi),xa) != $true) => none(nat) = iG99) & ((aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),mi),xa) = $true) => aa(nat,option(nat),some(nat),mi) = iG99)),
% 8.42/2.12    inference(flattening,[],[f9888])).
% 8.42/2.12  tff(f45660,plain,(
% 8.42/2.12    none(nat) = iG99 | (aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),mi),xa) = $true)),
% 8.42/2.12    inference(cnf_transformation,[],[f26424])).
% 8.42/2.12  tff(f45657,plain,(
% 8.42/2.12    iG99 = iG100 | none(nat) != pr20),
% 8.42/2.12    inference(cnf_transformation,[],[f26423])).
% 8.42/2.12  tff(f26423,plain,(
% 8.42/2.12    (aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_add,aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_mul,aa(nat,option(nat),some(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),pr20)),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(option(nat),nat,the2(nat),pr20)))) = iG100 | none(nat) = pr20) & (iG99 = iG100 | none(nat) != pr20)),
% 8.42/2.12    inference(ennf_transformation,[],[f21080])).
% 8.42/2.12  tff(f21080,plain,(
% 8.42/2.12    (none(nat) != pr20 => aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_add,aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_mul,aa(nat,option(nat),some(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),pr20)),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(option(nat),nat,the2(nat),pr20)))) = iG100) & (none(nat) = pr20 => iG99 = iG100)),
% 8.42/2.12    inference(flattening,[],[f9889])).
% 8.42/2.12  tff(f45658,plain,(
% 8.42/2.12    aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_add,aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_mul,aa(nat,option(nat),some(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),pr20)),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(option(nat),nat,the2(nat),pr20)))) = iG100 | none(nat) = pr20),
% 8.42/2.12    inference(cnf_transformation,[],[f26423])).
% 8.42/2.12  tff(f45654,plain,(
% 8.42/2.12    aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_add,aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_mul,aa(nat,option(nat),some(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(nat,option(nat),some(nat),vEBT_VEBT_high(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))),vEBT_vebt_pred(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),vEBT_VEBT_low(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) = iG101 | ~vEBT_VEBT_greater(aa(nat,option(nat),some(nat),vEBT_VEBT_low(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))) | none(nat) = vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))),
% 8.42/2.12    inference(cnf_transformation,[],[f26422])).
% 8.42/2.12  tff(f26422,plain,(
% 8.42/2.12    (iG100 = iG101 | (vEBT_VEBT_greater(aa(nat,option(nat),some(nat),vEBT_VEBT_low(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))) & none(nat) != vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))) & (aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_add,aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_mul,aa(nat,option(nat),some(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(nat,option(nat),some(nat),vEBT_VEBT_high(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))),vEBT_vebt_pred(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),vEBT_VEBT_low(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) = iG101 | ~vEBT_VEBT_greater(aa(nat,option(nat),some(nat),vEBT_VEBT_low(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))) | none(nat) = vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.42/2.12    inference(flattening,[],[f26421])).
% 8.42/2.12  tff(f26421,plain,(
% 8.42/2.12    (iG100 = iG101 | (vEBT_VEBT_greater(aa(nat,option(nat),some(nat),vEBT_VEBT_low(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))) & none(nat) != vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))) & (aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_add,aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_mul,aa(nat,option(nat),some(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(nat,option(nat),some(nat),vEBT_VEBT_high(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))),vEBT_vebt_pred(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),vEBT_VEBT_low(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) = iG101 | (~vEBT_VEBT_greater(aa(nat,option(nat),some(nat),vEBT_VEBT_low(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))) | none(nat) = vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))))),
% 8.42/2.12    inference(ennf_transformation,[],[f9890])).
% 8.42/2.12  tff(f45655,plain,(
% 8.42/2.12    iG100 = iG101 | none(nat) != vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))),
% 8.42/2.12    inference(cnf_transformation,[],[f26422])).
% 8.42/2.12  tff(f45656,plain,(
% 8.42/2.12    iG100 = iG101 | vEBT_VEBT_greater(aa(nat,option(nat),some(nat),vEBT_VEBT_low(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(xa,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.42/2.12    inference(cnf_transformation,[],[f26422])).
% 8.42/2.12  tff(f61662,plain,(
% 8.42/2.12    ($true = bG102($true))),
% 8.42/2.12    inference(equality_resolution,[],[f45652])).
% 8.42/2.12  tff(f45652,plain,(
% 8.42/2.12    ( ! [X0 : $o] : (($true = bG102(X0)) | ($true != X0)) )),
% 8.42/2.12    inference(cnf_transformation,[],[f36484])).
% 8.42/2.12  tff(f36484,plain,(
% 8.42/2.12    ! [X0 : $o] : ((($true = X0) | ($true != bG102(X0))) & (($true = bG102(X0)) | ($true != X0)))),
% 8.42/2.12    inference(nnf_transformation,[],[f9910])).
% 8.42/2.12  tff(f9910,plain,(
% 8.42/2.12    ! [X0 : $o] : (($true = X0) <=> ($true = bG102(X0)))),
% 8.42/2.12    introduced(fool_formula_definition,[new_symbols(definition,[bG102])])).
% 8.42/2.12  tff(f45653,plain,(
% 8.42/2.12    ( ! [X0 : $o] : (($true = X0) | ($true != bG102(X0))) )),
% 8.42/2.12    inference(cnf_transformation,[],[f36484])).
% 8.42/2.12  tff(f61661,plain,(
% 8.42/2.12    ($true = bG103($true))),
% 8.42/2.12    inference(equality_resolution,[],[f45650])).
% 8.42/2.12  tff(f45650,plain,(
% 8.42/2.12    ( ! [X0 : $o] : (($true = bG103(X0)) | ($true != X0)) )),
% 8.42/2.12    inference(cnf_transformation,[],[f36483])).
% 8.42/2.12  tff(f36483,plain,(
% 8.42/2.12    ! [X0 : $o] : ((($true = X0) | ($true != bG103(X0))) & (($true = bG103(X0)) | ($true != X0)))),
% 8.42/2.12    inference(nnf_transformation,[],[f9913])).
% 8.42/2.12  tff(f9913,plain,(
% 8.42/2.12    ! [X0 : $o] : (($true = X0) <=> ($true = bG103(X0)))),
% 8.42/2.12    introduced(fool_formula_definition,[new_symbols(definition,[bG103])])).
% 8.42/2.12  tff(f45651,plain,(
% 8.42/2.12    ( ! [X0 : $o] : (($true = X0) | ($true != bG103(X0))) )),
% 8.42/2.12    inference(cnf_transformation,[],[f36483])).
% 8.42/2.12  tff(f61660,plain,(
% 8.42/2.12    aa($o,product_prod(code_integer,$o),aa(code_integer,fun($o,product_prod(code_integer,$o)),product_Pair(code_integer,$o),zero_zero(code_integer)),$false) = iG104(zero_zero(code_integer))),
% 8.42/2.12    inference(equality_resolution,[],[f45648])).
% 8.42/2.12  tff(f45648,plain,(
% 8.42/2.12    ( ! [X1 : code_integer] : (aa($o,product_prod(code_integer,$o),aa(code_integer,fun($o,product_prod(code_integer,$o)),product_Pair(code_integer,$o),zero_zero(code_integer)),$false) = iG104(X1) | zero_zero(code_integer) != X1) )),
% 8.42/2.12    inference(cnf_transformation,[],[f26420])).
% 8.42/2.12  tff(f26420,plain,(
% 8.42/2.12    ! [X0 : code_integer] : (aa(product_prod(code_integer,code_integer),product_prod(code_integer,$o),aa(fun(code_integer,fun(code_integer,product_prod(code_integer,$o))),fun(product_prod(code_integer,code_integer),product_prod(code_integer,$o)),product_case_prod(code_integer,code_integer,product_prod(code_integer,$o)),aTP_Lamp_lb(code_integer,fun(code_integer,fun(code_integer,product_prod(code_integer,$o))),X0)),code_divmod_abs(X0,aa(num,code_integer,numeral_numeral(code_integer),aa(num,num,bit0,one2)))) = iG104(X0) | zero_zero(code_integer) = X0) & ! [X1 : code_integer] : (aa($o,product_prod(code_integer,$o),aa(code_integer,fun($o,product_prod(code_integer,$o)),product_Pair(code_integer,$o),zero_zero(code_integer)),$false) = iG104(X1) | zero_zero(code_integer) != X1)),
% 8.42/2.12    inference(ennf_transformation,[],[f21079])).
% 8.42/2.12  tff(f21079,plain,(
% 8.42/2.12    ! [X0 : code_integer] : (zero_zero(code_integer) != X0 => aa(product_prod(code_integer,code_integer),product_prod(code_integer,$o),aa(fun(code_integer,fun(code_integer,product_prod(code_integer,$o))),fun(product_prod(code_integer,code_integer),product_prod(code_integer,$o)),product_case_prod(code_integer,code_integer,product_prod(code_integer,$o)),aTP_Lamp_lb(code_integer,fun(code_integer,fun(code_integer,product_prod(code_integer,$o))),X0)),code_divmod_abs(X0,aa(num,code_integer,numeral_numeral(code_integer),aa(num,num,bit0,one2)))) = iG104(X0)) & ! [X1 : code_integer] : (zero_zero(code_integer) = X1 => aa($o,product_prod(code_integer,$o),aa(code_integer,fun($o,product_prod(code_integer,$o)),product_Pair(code_integer,$o),zero_zero(code_integer)),$false) = iG104(X1))),
% 8.42/2.12    inference(flattening,[],[f21078])).
% 8.42/2.12  tff(f21078,plain,(
% 8.42/2.12    ! [X0 : code_integer] : (~zero_zero(code_integer) = X0 => aa(product_prod(code_integer,code_integer),product_prod(code_integer,$o),aa(fun(code_integer,fun(code_integer,product_prod(code_integer,$o))),fun(product_prod(code_integer,code_integer),product_prod(code_integer,$o)),product_case_prod(code_integer,code_integer,product_prod(code_integer,$o)),aTP_Lamp_lb(code_integer,fun(code_integer,fun(code_integer,product_prod(code_integer,$o))),X0)),code_divmod_abs(X0,aa(num,code_integer,numeral_numeral(code_integer),aa(num,num,bit0,one2)))) = iG104(X0)) & ! [X1 : code_integer] : (zero_zero(code_integer) = X1 => aa($o,product_prod(code_integer,$o),aa(code_integer,fun($o,product_prod(code_integer,$o)),product_Pair(code_integer,$o),zero_zero(code_integer)),$false) = iG104(X1))),
% 8.42/2.12    inference(rectify,[],[f9916])).
% 8.42/2.12  tff(f9916,plain,(
% 8.42/2.12    ! [X0 : code_integer] : (~zero_zero(code_integer) = X0 => aa(product_prod(code_integer,code_integer),product_prod(code_integer,$o),aa(fun(code_integer,fun(code_integer,product_prod(code_integer,$o))),fun(product_prod(code_integer,code_integer),product_prod(code_integer,$o)),product_case_prod(code_integer,code_integer,product_prod(code_integer,$o)),aTP_Lamp_lb(code_integer,fun(code_integer,fun(code_integer,product_prod(code_integer,$o))),X0)),code_divmod_abs(X0,aa(num,code_integer,numeral_numeral(code_integer),aa(num,num,bit0,one2)))) = iG104(X0)) & ! [X0 : code_integer] : (zero_zero(code_integer) = X0 => aa($o,product_prod(code_integer,$o),aa(code_integer,fun($o,product_prod(code_integer,$o)),product_Pair(code_integer,$o),zero_zero(code_integer)),$false) = iG104(X0))),
% 8.42/2.12    introduced(fool_ite_definition,[new_symbols(definition,[iG104])])).
% 8.42/2.12  tff(f45649,plain,(
% 8.42/2.12    ( ! [X0 : code_integer] : (aa(product_prod(code_integer,code_integer),product_prod(code_integer,$o),aa(fun(code_integer,fun(code_integer,product_prod(code_integer,$o))),fun(product_prod(code_integer,code_integer),product_prod(code_integer,$o)),product_case_prod(code_integer,code_integer,product_prod(code_integer,$o)),aTP_Lamp_lb(code_integer,fun(code_integer,fun(code_integer,product_prod(code_integer,$o))),X0)),code_divmod_abs(X0,aa(num,code_integer,numeral_numeral(code_integer),aa(num,num,bit0,one2)))) = iG104(X0) | zero_zero(code_integer) = X0) )),
% 8.42/2.12    inference(cnf_transformation,[],[f26420])).
% 8.42/2.12  tff(f45646,plain,(
% 8.42/2.12    ( ! [X1 : code_integer] : (one2 = iG105(X1) | ($true != aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less_eq(code_integer),X1),one_one(code_integer)))) )),
% 8.42/2.12    inference(cnf_transformation,[],[f26419])).
% 8.42/2.12  tff(f26419,plain,(
% 8.42/2.12    ! [X0 : code_integer] : (aa(product_prod(code_integer,code_integer),num,aa(fun(code_integer,fun(code_integer,num)),fun(product_prod(code_integer,code_integer),num),product_case_prod(code_integer,code_integer,num),aTP_Lamp_kz(code_integer,fun(code_integer,num))),code_divmod_integer(X0,aa(num,code_integer,numeral_numeral(code_integer),aa(num,num,bit0,one2)))) = iG105(X0) | ($true = aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less_eq(code_integer),X0),one_one(code_integer)))) & ! [X1 : code_integer] : (one2 = iG105(X1) | ($true != aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less_eq(code_integer),X1),one_one(code_integer))))),
% 8.42/2.12    inference(ennf_transformation,[],[f21077])).
% 8.42/2.12  tff(f21077,plain,(
% 8.42/2.12    ! [X0 : code_integer] : (($true != aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less_eq(code_integer),X0),one_one(code_integer))) => aa(product_prod(code_integer,code_integer),num,aa(fun(code_integer,fun(code_integer,num)),fun(product_prod(code_integer,code_integer),num),product_case_prod(code_integer,code_integer,num),aTP_Lamp_kz(code_integer,fun(code_integer,num))),code_divmod_integer(X0,aa(num,code_integer,numeral_numeral(code_integer),aa(num,num,bit0,one2)))) = iG105(X0)) & ! [X1 : code_integer] : (($true = aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less_eq(code_integer),X1),one_one(code_integer))) => one2 = iG105(X1))),
% 8.42/2.12    inference(flattening,[],[f21076])).
% 8.42/2.12  tff(f21076,plain,(
% 8.42/2.12    ! [X0 : code_integer] : (~($true = aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less_eq(code_integer),X0),one_one(code_integer))) => aa(product_prod(code_integer,code_integer),num,aa(fun(code_integer,fun(code_integer,num)),fun(product_prod(code_integer,code_integer),num),product_case_prod(code_integer,code_integer,num),aTP_Lamp_kz(code_integer,fun(code_integer,num))),code_divmod_integer(X0,aa(num,code_integer,numeral_numeral(code_integer),aa(num,num,bit0,one2)))) = iG105(X0)) & ! [X1 : code_integer] : (($true = aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less_eq(code_integer),X1),one_one(code_integer))) => one2 = iG105(X1))),
% 8.42/2.12    inference(rectify,[],[f9919])).
% 8.42/2.12  tff(f9919,plain,(
% 8.42/2.12    ! [X0 : code_integer] : (~($true = aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less_eq(code_integer),X0),one_one(code_integer))) => aa(product_prod(code_integer,code_integer),num,aa(fun(code_integer,fun(code_integer,num)),fun(product_prod(code_integer,code_integer),num),product_case_prod(code_integer,code_integer,num),aTP_Lamp_kz(code_integer,fun(code_integer,num))),code_divmod_integer(X0,aa(num,code_integer,numeral_numeral(code_integer),aa(num,num,bit0,one2)))) = iG105(X0)) & ! [X0 : code_integer] : (($true = aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less_eq(code_integer),X0),one_one(code_integer))) => one2 = iG105(X0))),
% 8.42/2.12    introduced(fool_ite_definition,[new_symbols(definition,[iG105])])).
% 8.42/2.12  tff(f45647,plain,(
% 8.42/2.12    ( ! [X0 : code_integer] : (aa(product_prod(code_integer,code_integer),num,aa(fun(code_integer,fun(code_integer,num)),fun(product_prod(code_integer,code_integer),num),product_case_prod(code_integer,code_integer,num),aTP_Lamp_kz(code_integer,fun(code_integer,num))),code_divmod_integer(X0,aa(num,code_integer,numeral_numeral(code_integer),aa(num,num,bit0,one2)))) = iG105(X0) | ($true = aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less_eq(code_integer),X0),one_one(code_integer)))) )),
% 8.42/2.12    inference(cnf_transformation,[],[f26419])).
% 8.42/2.12  tff(f45644,plain,(
% 8.42/2.12    ( ! [X0 : code_integer] : (($true = bG106(X0)) | dvd_dvd(code_integer,aa(num,code_integer,numeral_numeral(code_integer),aa(num,num,bit0,one2)),X0)) )),
% 8.42/2.12    inference(cnf_transformation,[],[f36482])).
% 8.42/2.12  tff(f36482,plain,(
% 8.42/2.12    ! [X0 : code_integer] : ((~dvd_dvd(code_integer,aa(num,code_integer,numeral_numeral(code_integer),aa(num,num,bit0,one2)),X0) | ($true != bG106(X0))) & (($true = bG106(X0)) | dvd_dvd(code_integer,aa(num,code_integer,numeral_numeral(code_integer),aa(num,num,bit0,one2)),X0)))),
% 8.42/2.12    inference(nnf_transformation,[],[f9922])).
% 8.42/2.12  tff(f9922,plain,(
% 8.42/2.12    ! [X0 : code_integer] : (~dvd_dvd(code_integer,aa(num,code_integer,numeral_numeral(code_integer),aa(num,num,bit0,one2)),X0) <=> ($true = bG106(X0)))),
% 8.42/2.12    introduced(fool_formula_definition,[new_symbols(definition,[bG106])])).
% 8.42/2.12  tff(f45645,plain,(
% 8.42/2.12    ( ! [X0 : code_integer] : (~dvd_dvd(code_integer,aa(num,code_integer,numeral_numeral(code_integer),aa(num,num,bit0,one2)),X0) | ($true != bG106(X0))) )),
% 8.42/2.12    inference(cnf_transformation,[],[f36482])).
% 8.42/2.12  tff(f45642,plain,(
% 8.42/2.12    ( ! [X1 : nat] : (zero_zero(real) = iG107(X1) | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1)) )),
% 8.42/2.12    inference(cnf_transformation,[],[f26418])).
% 8.42/2.12  tff(f26418,plain,(
% 8.42/2.12    ! [X0 : nat] : (divide_divide(real,aa(nat,real,aa(real,fun(nat,real),power_power(real),aa(real,real,uminus_uminus(real),one_one(real))),divide_divide(nat,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),aa(nat,nat,suc,zero_zero(nat))),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),semiring_char_0_fact(real,X0)) = iG107(X0) | dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0)) & ! [X1 : nat] : (zero_zero(real) = iG107(X1) | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1))),
% 8.42/2.12    inference(ennf_transformation,[],[f21075])).
% 8.42/2.12  tff(f21075,plain,(
% 8.42/2.12    ! [X0 : nat] : (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) => divide_divide(real,aa(nat,real,aa(real,fun(nat,real),power_power(real),aa(real,real,uminus_uminus(real),one_one(real))),divide_divide(nat,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),aa(nat,nat,suc,zero_zero(nat))),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),semiring_char_0_fact(real,X0)) = iG107(X0)) & ! [X1 : nat] : (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1) => zero_zero(real) = iG107(X1))),
% 8.42/2.12    inference(flattening,[],[f21074])).
% 8.42/2.12  tff(f21074,plain,(
% 8.42/2.12    ! [X0 : nat] : (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) => divide_divide(real,aa(nat,real,aa(real,fun(nat,real),power_power(real),aa(real,real,uminus_uminus(real),one_one(real))),divide_divide(nat,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),aa(nat,nat,suc,zero_zero(nat))),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),semiring_char_0_fact(real,X0)) = iG107(X0)) & ! [X1 : nat] : (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1) => zero_zero(real) = iG107(X1))),
% 8.42/2.12    inference(rectify,[],[f9925])).
% 8.42/2.12  tff(f9925,plain,(
% 8.42/2.12    ! [X0 : nat] : (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) => divide_divide(real,aa(nat,real,aa(real,fun(nat,real),power_power(real),aa(real,real,uminus_uminus(real),one_one(real))),divide_divide(nat,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),aa(nat,nat,suc,zero_zero(nat))),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),semiring_char_0_fact(real,X0)) = iG107(X0)) & ! [X0 : nat] : (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) => zero_zero(real) = iG107(X0))),
% 8.42/2.12    introduced(fool_ite_definition,[new_symbols(definition,[iG107])])).
% 8.42/2.12  tff(f45643,plain,(
% 8.42/2.12    ( ! [X0 : nat] : (divide_divide(real,aa(nat,real,aa(real,fun(nat,real),power_power(real),aa(real,real,uminus_uminus(real),one_one(real))),divide_divide(nat,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),aa(nat,nat,suc,zero_zero(nat))),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),semiring_char_0_fact(real,X0)) = iG107(X0) | dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0)) )),
% 8.42/2.12    inference(cnf_transformation,[],[f26418])).
% 8.42/2.12  tff(f45640,plain,(
% 8.42/2.12    ( ! [X1 : code_integer] : (zero_zero(nat) = iG108(X1) | ($true != aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less_eq(code_integer),X1),zero_zero(code_integer)))) )),
% 8.42/2.12    inference(cnf_transformation,[],[f26417])).
% 8.42/2.12  tff(f26417,plain,(
% 8.42/2.12    ! [X0 : code_integer] : (aa(product_prod(code_integer,code_integer),nat,aa(fun(code_integer,fun(code_integer,nat)),fun(product_prod(code_integer,code_integer),nat),product_case_prod(code_integer,code_integer,nat),aTP_Lamp_la(code_integer,fun(code_integer,nat))),code_divmod_integer(X0,aa(num,code_integer,numeral_numeral(code_integer),aa(num,num,bit0,one2)))) = iG108(X0) | ($true = aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less_eq(code_integer),X0),zero_zero(code_integer)))) & ! [X1 : code_integer] : (zero_zero(nat) = iG108(X1) | ($true != aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less_eq(code_integer),X1),zero_zero(code_integer))))),
% 8.42/2.12    inference(ennf_transformation,[],[f21073])).
% 8.42/2.12  tff(f21073,plain,(
% 8.42/2.12    ! [X0 : code_integer] : (($true != aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less_eq(code_integer),X0),zero_zero(code_integer))) => aa(product_prod(code_integer,code_integer),nat,aa(fun(code_integer,fun(code_integer,nat)),fun(product_prod(code_integer,code_integer),nat),product_case_prod(code_integer,code_integer,nat),aTP_Lamp_la(code_integer,fun(code_integer,nat))),code_divmod_integer(X0,aa(num,code_integer,numeral_numeral(code_integer),aa(num,num,bit0,one2)))) = iG108(X0)) & ! [X1 : code_integer] : (($true = aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less_eq(code_integer),X1),zero_zero(code_integer))) => zero_zero(nat) = iG108(X1))),
% 8.42/2.12    inference(flattening,[],[f21072])).
% 8.42/2.12  tff(f21072,plain,(
% 8.42/2.12    ! [X0 : code_integer] : (~($true = aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less_eq(code_integer),X0),zero_zero(code_integer))) => aa(product_prod(code_integer,code_integer),nat,aa(fun(code_integer,fun(code_integer,nat)),fun(product_prod(code_integer,code_integer),nat),product_case_prod(code_integer,code_integer,nat),aTP_Lamp_la(code_integer,fun(code_integer,nat))),code_divmod_integer(X0,aa(num,code_integer,numeral_numeral(code_integer),aa(num,num,bit0,one2)))) = iG108(X0)) & ! [X1 : code_integer] : (($true = aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less_eq(code_integer),X1),zero_zero(code_integer))) => zero_zero(nat) = iG108(X1))),
% 8.42/2.12    inference(rectify,[],[f9928])).
% 8.42/2.12  tff(f9928,plain,(
% 8.42/2.12    ! [X0 : code_integer] : (~($true = aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less_eq(code_integer),X0),zero_zero(code_integer))) => aa(product_prod(code_integer,code_integer),nat,aa(fun(code_integer,fun(code_integer,nat)),fun(product_prod(code_integer,code_integer),nat),product_case_prod(code_integer,code_integer,nat),aTP_Lamp_la(code_integer,fun(code_integer,nat))),code_divmod_integer(X0,aa(num,code_integer,numeral_numeral(code_integer),aa(num,num,bit0,one2)))) = iG108(X0)) & ! [X0 : code_integer] : (($true = aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less_eq(code_integer),X0),zero_zero(code_integer))) => zero_zero(nat) = iG108(X0))),
% 8.42/2.12    introduced(fool_ite_definition,[new_symbols(definition,[iG108])])).
% 8.42/2.12  tff(f45641,plain,(
% 8.42/2.12    ( ! [X0 : code_integer] : (aa(product_prod(code_integer,code_integer),nat,aa(fun(code_integer,fun(code_integer,nat)),fun(product_prod(code_integer,code_integer),nat),product_case_prod(code_integer,code_integer,nat),aTP_Lamp_la(code_integer,fun(code_integer,nat))),code_divmod_integer(X0,aa(num,code_integer,numeral_numeral(code_integer),aa(num,num,bit0,one2)))) = iG108(X0) | ($true = aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less_eq(code_integer),X0),zero_zero(code_integer)))) )),
% 8.42/2.12    inference(cnf_transformation,[],[f26417])).
% 8.42/2.12  tff(f45638,plain,(
% 8.42/2.12    ( ! [X1 : nat] : (divide_divide(real,aa(nat,real,aa(real,fun(nat,real),power_power(real),aa(real,real,uminus_uminus(real),one_one(real))),divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),semiring_char_0_fact(real,X1)) = iG109(X1) | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1)) )),
% 8.42/2.12    inference(cnf_transformation,[],[f26416])).
% 8.42/2.12  tff(f26416,plain,(
% 8.42/2.12    ! [X0 : nat] : (zero_zero(real) = iG109(X0) | dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0)) & ! [X1 : nat] : (divide_divide(real,aa(nat,real,aa(real,fun(nat,real),power_power(real),aa(real,real,uminus_uminus(real),one_one(real))),divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),semiring_char_0_fact(real,X1)) = iG109(X1) | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1))),
% 8.42/2.12    inference(ennf_transformation,[],[f21071])).
% 8.42/2.12  tff(f21071,plain,(
% 8.42/2.12    ! [X0 : nat] : (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) => zero_zero(real) = iG109(X0)) & ! [X1 : nat] : (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1) => divide_divide(real,aa(nat,real,aa(real,fun(nat,real),power_power(real),aa(real,real,uminus_uminus(real),one_one(real))),divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),semiring_char_0_fact(real,X1)) = iG109(X1))),
% 8.42/2.12    inference(flattening,[],[f21070])).
% 8.42/2.12  tff(f21070,plain,(
% 8.42/2.12    ! [X0 : nat] : (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) => zero_zero(real) = iG109(X0)) & ! [X1 : nat] : (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1) => divide_divide(real,aa(nat,real,aa(real,fun(nat,real),power_power(real),aa(real,real,uminus_uminus(real),one_one(real))),divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),semiring_char_0_fact(real,X1)) = iG109(X1))),
% 8.42/2.12    inference(rectify,[],[f9931])).
% 8.42/2.12  tff(f9931,plain,(
% 8.42/2.12    ! [X0 : nat] : (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) => zero_zero(real) = iG109(X0)) & ! [X0 : nat] : (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) => divide_divide(real,aa(nat,real,aa(real,fun(nat,real),power_power(real),aa(real,real,uminus_uminus(real),one_one(real))),divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),semiring_char_0_fact(real,X0)) = iG109(X0))),
% 8.42/2.12    introduced(fool_ite_definition,[new_symbols(definition,[iG109])])).
% 8.42/2.12  tff(f45639,plain,(
% 8.42/2.12    ( ! [X0 : nat] : (zero_zero(real) = iG109(X0) | dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0)) )),
% 8.42/2.12    inference(cnf_transformation,[],[f26416])).
% 8.42/2.12  tff(f45637,plain,(
% 8.42/2.12    ( ! [X0 : product_prod(int,int)] : (gcd_gcd(int,aa(product_prod(int,int),int,product_fst(int,int),X0),aa(product_prod(int,int),int,product_snd(int,int),X0)) = lG110(X0)) )),
% 8.42/2.12    inference(cnf_transformation,[],[f9934])).
% 8.42/2.12  tff(f9934,plain,(
% 8.42/2.12    ! [X0 : product_prod(int,int)] : gcd_gcd(int,aa(product_prod(int,int),int,product_fst(int,int),X0),aa(product_prod(int,int),int,product_snd(int,int),X0)) = lG110(X0)),
% 8.42/2.12    introduced(fool_let_definition,[new_symbols(definition,[lG110])])).
% 8.42/2.12  tff(f45636,plain,(
% 8.42/2.12    ( ! [X0 : product_prod(int,int)] : (aa(int,int,uminus_uminus(int),gcd_gcd(int,aa(product_prod(int,int),int,product_fst(int,int),X0),aa(product_prod(int,int),int,product_snd(int,int),X0))) = lG111(X0)) )),
% 8.42/2.12    inference(cnf_transformation,[],[f9935])).
% 8.42/2.12  tff(f9935,plain,(
% 8.42/2.12    ! [X0 : product_prod(int,int)] : aa(int,int,uminus_uminus(int),gcd_gcd(int,aa(product_prod(int,int),int,product_fst(int,int),X0),aa(product_prod(int,int),int,product_snd(int,int),X0))) = lG111(X0)),
% 8.42/2.12    introduced(fool_let_definition,[new_symbols(definition,[lG111])])).
% 8.42/2.12  tff(f45634,plain,(
% 8.42/2.12    ( ! [X1 : product_prod(int,int)] : (aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),zero_zero(int)),one_one(int)) = iG112(X1) | zero_zero(int) != aa(product_prod(int,int),int,product_snd(int,int),X1)) )),
% 8.42/2.12    inference(cnf_transformation,[],[f26415])).
% 8.42/2.12  tff(f26415,plain,(
% 8.42/2.12    ! [X0 : product_prod(int,int)] : (aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),divide_divide(int,aa(product_prod(int,int),int,product_fst(int,int),X0),lG111(X0))),divide_divide(int,aa(product_prod(int,int),int,product_snd(int,int),X0),lG111(X0))) = iG112(X0) | zero_zero(int) = aa(product_prod(int,int),int,product_snd(int,int),X0)) & ! [X1 : product_prod(int,int)] : (aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),zero_zero(int)),one_one(int)) = iG112(X1) | zero_zero(int) != aa(product_prod(int,int),int,product_snd(int,int),X1))),
% 8.42/2.12    inference(ennf_transformation,[],[f21069])).
% 8.42/2.12  tff(f21069,plain,(
% 8.42/2.12    ! [X0 : product_prod(int,int)] : (zero_zero(int) != aa(product_prod(int,int),int,product_snd(int,int),X0) => aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),divide_divide(int,aa(product_prod(int,int),int,product_fst(int,int),X0),lG111(X0))),divide_divide(int,aa(product_prod(int,int),int,product_snd(int,int),X0),lG111(X0))) = iG112(X0)) & ! [X1 : product_prod(int,int)] : (zero_zero(int) = aa(product_prod(int,int),int,product_snd(int,int),X1) => aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),zero_zero(int)),one_one(int)) = iG112(X1))),
% 8.42/2.12    inference(flattening,[],[f21068])).
% 8.42/2.12  tff(f21068,plain,(
% 8.42/2.12    ! [X0 : product_prod(int,int)] : (~zero_zero(int) = aa(product_prod(int,int),int,product_snd(int,int),X0) => aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),divide_divide(int,aa(product_prod(int,int),int,product_fst(int,int),X0),lG111(X0))),divide_divide(int,aa(product_prod(int,int),int,product_snd(int,int),X0),lG111(X0))) = iG112(X0)) & ! [X1 : product_prod(int,int)] : (zero_zero(int) = aa(product_prod(int,int),int,product_snd(int,int),X1) => aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),zero_zero(int)),one_one(int)) = iG112(X1))),
% 8.42/2.12    inference(rectify,[],[f9936])).
% 8.42/2.12  tff(f9936,plain,(
% 8.42/2.12    ! [X0 : product_prod(int,int)] : (~zero_zero(int) = aa(product_prod(int,int),int,product_snd(int,int),X0) => aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),divide_divide(int,aa(product_prod(int,int),int,product_fst(int,int),X0),lG111(X0))),divide_divide(int,aa(product_prod(int,int),int,product_snd(int,int),X0),lG111(X0))) = iG112(X0)) & ! [X0 : product_prod(int,int)] : (zero_zero(int) = aa(product_prod(int,int),int,product_snd(int,int),X0) => aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),zero_zero(int)),one_one(int)) = iG112(X0))),
% 8.42/2.12    introduced(fool_ite_definition,[new_symbols(definition,[iG112])])).
% 8.42/2.12  tff(f45635,plain,(
% 8.42/2.12    ( ! [X0 : product_prod(int,int)] : (aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),divide_divide(int,aa(product_prod(int,int),int,product_fst(int,int),X0),lG111(X0))),divide_divide(int,aa(product_prod(int,int),int,product_snd(int,int),X0),lG111(X0))) = iG112(X0) | zero_zero(int) = aa(product_prod(int,int),int,product_snd(int,int),X0)) )),
% 8.42/2.12    inference(cnf_transformation,[],[f26415])).
% 8.42/2.12  tff(f45632,plain,(
% 8.42/2.12    ( ! [X1 : product_prod(int,int)] : (aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),divide_divide(int,aa(product_prod(int,int),int,product_fst(int,int),X1),lG110(X1))),divide_divide(int,aa(product_prod(int,int),int,product_snd(int,int),X1),lG110(X1))) = iG113(X1) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),zero_zero(int)),aa(product_prod(int,int),int,product_snd(int,int),X1)))) )),
% 8.42/2.12    inference(cnf_transformation,[],[f26414])).
% 8.42/2.12  tff(f26414,plain,(
% 8.42/2.12    ! [X0 : product_prod(int,int)] : (iG112(X0) = iG113(X0) | ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),zero_zero(int)),aa(product_prod(int,int),int,product_snd(int,int),X0)))) & ! [X1 : product_prod(int,int)] : (aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),divide_divide(int,aa(product_prod(int,int),int,product_fst(int,int),X1),lG110(X1))),divide_divide(int,aa(product_prod(int,int),int,product_snd(int,int),X1),lG110(X1))) = iG113(X1) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),zero_zero(int)),aa(product_prod(int,int),int,product_snd(int,int),X1))))),
% 8.42/2.12    inference(ennf_transformation,[],[f21067])).
% 8.42/2.12  tff(f21067,plain,(
% 8.42/2.12    ! [X0 : product_prod(int,int)] : (($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),zero_zero(int)),aa(product_prod(int,int),int,product_snd(int,int),X0))) => iG112(X0) = iG113(X0)) & ! [X1 : product_prod(int,int)] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),zero_zero(int)),aa(product_prod(int,int),int,product_snd(int,int),X1))) => aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),divide_divide(int,aa(product_prod(int,int),int,product_fst(int,int),X1),lG110(X1))),divide_divide(int,aa(product_prod(int,int),int,product_snd(int,int),X1),lG110(X1))) = iG113(X1))),
% 8.42/2.12    inference(flattening,[],[f21066])).
% 8.42/2.12  tff(f21066,plain,(
% 8.42/2.12    ! [X0 : product_prod(int,int)] : (~($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),zero_zero(int)),aa(product_prod(int,int),int,product_snd(int,int),X0))) => iG112(X0) = iG113(X0)) & ! [X1 : product_prod(int,int)] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),zero_zero(int)),aa(product_prod(int,int),int,product_snd(int,int),X1))) => aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),divide_divide(int,aa(product_prod(int,int),int,product_fst(int,int),X1),lG110(X1))),divide_divide(int,aa(product_prod(int,int),int,product_snd(int,int),X1),lG110(X1))) = iG113(X1))),
% 8.42/2.12    inference(rectify,[],[f9937])).
% 8.42/2.12  tff(f9937,plain,(
% 8.42/2.12    ! [X0 : product_prod(int,int)] : (~($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),zero_zero(int)),aa(product_prod(int,int),int,product_snd(int,int),X0))) => iG112(X0) = iG113(X0)) & ! [X0 : product_prod(int,int)] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),zero_zero(int)),aa(product_prod(int,int),int,product_snd(int,int),X0))) => aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),divide_divide(int,aa(product_prod(int,int),int,product_fst(int,int),X0),lG110(X0))),divide_divide(int,aa(product_prod(int,int),int,product_snd(int,int),X0),lG110(X0))) = iG113(X0))),
% 8.42/2.12    introduced(fool_ite_definition,[new_symbols(definition,[iG113])])).
% 8.42/2.12  tff(f45633,plain,(
% 8.42/2.12    ( ! [X0 : product_prod(int,int)] : (iG112(X0) = iG113(X0) | ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),zero_zero(int)),aa(product_prod(int,int),int,product_snd(int,int),X0)))) )),
% 8.42/2.12    inference(cnf_transformation,[],[f26414])).
% 8.42/2.12  tff(f61659,plain,(
% 8.42/2.12    zero_zero(real) = iG114(zero_zero(complex))),
% 8.42/2.12    inference(equality_resolution,[],[f45630])).
% 8.42/2.12  tff(f45630,plain,(
% 8.42/2.12    ( ! [X1 : complex] : (zero_zero(real) = iG114(X1) | zero_zero(complex) != X1) )),
% 8.42/2.12    inference(cnf_transformation,[],[f26413])).
% 8.42/2.12  tff(f26413,plain,(
% 8.42/2.12    ! [X0 : complex] : (fChoice(real,aTP_Lamp_jh(complex,fun(real,$o),X0)) = iG114(X0) | zero_zero(complex) = X0) & ! [X1 : complex] : (zero_zero(real) = iG114(X1) | zero_zero(complex) != X1)),
% 8.42/2.12    inference(ennf_transformation,[],[f21065])).
% 8.42/2.12  tff(f21065,plain,(
% 8.42/2.12    ! [X0 : complex] : (zero_zero(complex) != X0 => fChoice(real,aTP_Lamp_jh(complex,fun(real,$o),X0)) = iG114(X0)) & ! [X1 : complex] : (zero_zero(complex) = X1 => zero_zero(real) = iG114(X1))),
% 8.42/2.12    inference(flattening,[],[f21064])).
% 8.42/2.12  tff(f21064,plain,(
% 8.42/2.12    ! [X0 : complex] : (~zero_zero(complex) = X0 => fChoice(real,aTP_Lamp_jh(complex,fun(real,$o),X0)) = iG114(X0)) & ! [X1 : complex] : (zero_zero(complex) = X1 => zero_zero(real) = iG114(X1))),
% 8.42/2.12    inference(rectify,[],[f9940])).
% 8.42/2.12  tff(f9940,plain,(
% 8.42/2.12    ! [X0 : complex] : (~zero_zero(complex) = X0 => fChoice(real,aTP_Lamp_jh(complex,fun(real,$o),X0)) = iG114(X0)) & ! [X0 : complex] : (zero_zero(complex) = X0 => zero_zero(real) = iG114(X0))),
% 8.42/2.12    introduced(fool_ite_definition,[new_symbols(definition,[iG114])])).
% 8.42/2.12  tff(f45631,plain,(
% 8.42/2.12    ( ! [X0 : complex] : (fChoice(real,aTP_Lamp_jh(complex,fun(real,$o),X0)) = iG114(X0) | zero_zero(complex) = X0) )),
% 8.42/2.12    inference(cnf_transformation,[],[f26413])).
% 8.42/2.12  tff(f45629,plain,(
% 8.42/2.12    ( ! [X0 : int] : (aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),times_times(code_integer),aa(num,code_integer,numeral_numeral(code_integer),aa(num,num,bit0,one2))),code_integer_of_int(divide_divide(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))))) = lG115(X0)) )),
% 8.42/2.12    inference(cnf_transformation,[],[f9943])).
% 8.42/2.12  tff(f9943,plain,(
% 8.42/2.12    ! [X0 : int] : aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),times_times(code_integer),aa(num,code_integer,numeral_numeral(code_integer),aa(num,num,bit0,one2))),code_integer_of_int(divide_divide(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))))) = lG115(X0)),
% 8.42/2.12    introduced(fool_let_definition,[new_symbols(definition,[lG115])])).
% 8.42/2.12  tff(f45627,plain,(
% 8.42/2.12    ( ! [X1 : int] : (lG115(X1) = iG116(X1) | zero_zero(int) != modulo_modulo(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))) )),
% 8.42/2.12    inference(cnf_transformation,[],[f26412])).
% 8.42/2.12  tff(f26412,plain,(
% 8.42/2.12    ! [X0 : int] : (aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),plus_plus(code_integer),lG115(X0)),one_one(code_integer)) = iG116(X0) | zero_zero(int) = modulo_modulo(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))) & ! [X1 : int] : (lG115(X1) = iG116(X1) | zero_zero(int) != modulo_modulo(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))))),
% 8.42/2.12    inference(ennf_transformation,[],[f21063])).
% 8.42/2.12  tff(f21063,plain,(
% 8.42/2.12    ! [X0 : int] : (zero_zero(int) != modulo_modulo(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))) => aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),plus_plus(code_integer),lG115(X0)),one_one(code_integer)) = iG116(X0)) & ! [X1 : int] : (zero_zero(int) = modulo_modulo(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))) => lG115(X1) = iG116(X1))),
% 8.42/2.12    inference(flattening,[],[f21062])).
% 8.42/2.12  tff(f21062,plain,(
% 8.42/2.12    ! [X0 : int] : (~zero_zero(int) = modulo_modulo(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))) => aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),plus_plus(code_integer),lG115(X0)),one_one(code_integer)) = iG116(X0)) & ! [X1 : int] : (zero_zero(int) = modulo_modulo(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))) => lG115(X1) = iG116(X1))),
% 8.42/2.12    inference(rectify,[],[f9944])).
% 8.42/2.12  tff(f9944,plain,(
% 8.42/2.12    ! [X0 : int] : (~zero_zero(int) = modulo_modulo(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))) => aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),plus_plus(code_integer),lG115(X0)),one_one(code_integer)) = iG116(X0)) & ! [X0 : int] : (zero_zero(int) = modulo_modulo(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))) => lG115(X0) = iG116(X0))),
% 8.42/2.12    introduced(fool_ite_definition,[new_symbols(definition,[iG116])])).
% 8.42/2.12  tff(f45628,plain,(
% 8.42/2.12    ( ! [X0 : int] : (aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),plus_plus(code_integer),lG115(X0)),one_one(code_integer)) = iG116(X0) | zero_zero(int) = modulo_modulo(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))) )),
% 8.42/2.12    inference(cnf_transformation,[],[f26412])).
% 8.42/2.12  tff(f61658,plain,(
% 8.42/2.12    zero_zero(code_integer) = iG117(zero_zero(int))),
% 8.42/2.12    inference(equality_resolution,[],[f45625])).
% 8.42/2.12  tff(f45625,plain,(
% 8.42/2.12    ( ! [X1 : int] : (zero_zero(code_integer) = iG117(X1) | zero_zero(int) != X1) )),
% 8.42/2.12    inference(cnf_transformation,[],[f26411])).
% 8.42/2.12  tff(f26411,plain,(
% 8.42/2.12    ! [X0 : int] : (iG116(X0) = iG117(X0) | zero_zero(int) = X0) & ! [X1 : int] : (zero_zero(code_integer) = iG117(X1) | zero_zero(int) != X1)),
% 8.42/2.12    inference(ennf_transformation,[],[f21061])).
% 8.42/2.12  tff(f21061,plain,(
% 8.42/2.12    ! [X0 : int] : (zero_zero(int) != X0 => iG116(X0) = iG117(X0)) & ! [X1 : int] : (zero_zero(int) = X1 => zero_zero(code_integer) = iG117(X1))),
% 8.42/2.12    inference(flattening,[],[f21060])).
% 8.42/2.12  tff(f21060,plain,(
% 8.42/2.12    ! [X0 : int] : (~zero_zero(int) = X0 => iG116(X0) = iG117(X0)) & ! [X1 : int] : (zero_zero(int) = X1 => zero_zero(code_integer) = iG117(X1))),
% 8.42/2.12    inference(rectify,[],[f9945])).
% 8.42/2.12  tff(f9945,plain,(
% 8.42/2.12    ! [X0 : int] : (~zero_zero(int) = X0 => iG116(X0) = iG117(X0)) & ! [X0 : int] : (zero_zero(int) = X0 => zero_zero(code_integer) = iG117(X0))),
% 8.42/2.12    introduced(fool_ite_definition,[new_symbols(definition,[iG117])])).
% 8.42/2.12  tff(f45626,plain,(
% 8.42/2.12    ( ! [X0 : int] : (iG116(X0) = iG117(X0) | zero_zero(int) = X0) )),
% 8.42/2.12    inference(cnf_transformation,[],[f26411])).
% 8.42/2.12  tff(f45623,plain,(
% 8.42/2.12    ( ! [X1 : int] : (aa(code_integer,code_integer,uminus_uminus(code_integer),code_integer_of_int(aa(int,int,uminus_uminus(int),X1))) = iG118(X1) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X1),zero_zero(int)))) )),
% 8.42/2.12    inference(cnf_transformation,[],[f26410])).
% 8.42/2.12  tff(f26410,plain,(
% 8.42/2.12    ! [X0 : int] : (iG117(X0) = iG118(X0) | ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X0),zero_zero(int)))) & ! [X1 : int] : (aa(code_integer,code_integer,uminus_uminus(code_integer),code_integer_of_int(aa(int,int,uminus_uminus(int),X1))) = iG118(X1) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X1),zero_zero(int))))),
% 8.42/2.12    inference(ennf_transformation,[],[f21059])).
% 8.42/2.12  tff(f21059,plain,(
% 8.42/2.12    ! [X0 : int] : (($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X0),zero_zero(int))) => iG117(X0) = iG118(X0)) & ! [X1 : int] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X1),zero_zero(int))) => aa(code_integer,code_integer,uminus_uminus(code_integer),code_integer_of_int(aa(int,int,uminus_uminus(int),X1))) = iG118(X1))),
% 8.42/2.12    inference(flattening,[],[f21058])).
% 8.42/2.12  tff(f21058,plain,(
% 8.42/2.12    ! [X0 : int] : (~($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X0),zero_zero(int))) => iG117(X0) = iG118(X0)) & ! [X1 : int] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X1),zero_zero(int))) => aa(code_integer,code_integer,uminus_uminus(code_integer),code_integer_of_int(aa(int,int,uminus_uminus(int),X1))) = iG118(X1))),
% 8.42/2.12    inference(rectify,[],[f9946])).
% 8.42/2.12  tff(f9946,plain,(
% 8.42/2.12    ! [X0 : int] : (~($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X0),zero_zero(int))) => iG117(X0) = iG118(X0)) & ! [X0 : int] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X0),zero_zero(int))) => aa(code_integer,code_integer,uminus_uminus(code_integer),code_integer_of_int(aa(int,int,uminus_uminus(int),X0))) = iG118(X0))),
% 8.42/2.12    introduced(fool_ite_definition,[new_symbols(definition,[iG118])])).
% 8.42/2.12  tff(f45624,plain,(
% 8.42/2.12    ( ! [X0 : int] : (iG117(X0) = iG118(X0) | ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X0),zero_zero(int)))) )),
% 8.42/2.12    inference(cnf_transformation,[],[f26410])).
% 8.42/2.12  tff(f61657,plain,(
% 8.42/2.12    zero_zero(int) = iG119(zero_zero(code_integer))),
% 8.42/2.12    inference(equality_resolution,[],[f45621])).
% 8.42/2.12  tff(f45621,plain,(
% 8.42/2.12    ( ! [X1 : code_integer] : (zero_zero(int) = iG119(X1) | zero_zero(code_integer) != X1) )),
% 8.42/2.12    inference(cnf_transformation,[],[f26409])).
% 8.42/2.12  tff(f26409,plain,(
% 8.42/2.12    ! [X0 : code_integer] : (aa(product_prod(code_integer,code_integer),int,aa(fun(code_integer,fun(code_integer,int)),fun(product_prod(code_integer,code_integer),int),product_case_prod(code_integer,code_integer,int),aTP_Lamp_ky(code_integer,fun(code_integer,int))),code_divmod_integer(X0,aa(num,code_integer,numeral_numeral(code_integer),aa(num,num,bit0,one2)))) = iG119(X0) | zero_zero(code_integer) = X0) & ! [X1 : code_integer] : (zero_zero(int) = iG119(X1) | zero_zero(code_integer) != X1)),
% 8.42/2.12    inference(ennf_transformation,[],[f21057])).
% 8.42/2.12  tff(f21057,plain,(
% 8.42/2.12    ! [X0 : code_integer] : (zero_zero(code_integer) != X0 => aa(product_prod(code_integer,code_integer),int,aa(fun(code_integer,fun(code_integer,int)),fun(product_prod(code_integer,code_integer),int),product_case_prod(code_integer,code_integer,int),aTP_Lamp_ky(code_integer,fun(code_integer,int))),code_divmod_integer(X0,aa(num,code_integer,numeral_numeral(code_integer),aa(num,num,bit0,one2)))) = iG119(X0)) & ! [X1 : code_integer] : (zero_zero(code_integer) = X1 => zero_zero(int) = iG119(X1))),
% 8.42/2.12    inference(flattening,[],[f21056])).
% 8.42/2.12  tff(f21056,plain,(
% 8.42/2.12    ! [X0 : code_integer] : (~zero_zero(code_integer) = X0 => aa(product_prod(code_integer,code_integer),int,aa(fun(code_integer,fun(code_integer,int)),fun(product_prod(code_integer,code_integer),int),product_case_prod(code_integer,code_integer,int),aTP_Lamp_ky(code_integer,fun(code_integer,int))),code_divmod_integer(X0,aa(num,code_integer,numeral_numeral(code_integer),aa(num,num,bit0,one2)))) = iG119(X0)) & ! [X1 : code_integer] : (zero_zero(code_integer) = X1 => zero_zero(int) = iG119(X1))),
% 8.42/2.12    inference(rectify,[],[f9949])).
% 8.42/2.12  tff(f9949,plain,(
% 8.42/2.12    ! [X0 : code_integer] : (~zero_zero(code_integer) = X0 => aa(product_prod(code_integer,code_integer),int,aa(fun(code_integer,fun(code_integer,int)),fun(product_prod(code_integer,code_integer),int),product_case_prod(code_integer,code_integer,int),aTP_Lamp_ky(code_integer,fun(code_integer,int))),code_divmod_integer(X0,aa(num,code_integer,numeral_numeral(code_integer),aa(num,num,bit0,one2)))) = iG119(X0)) & ! [X0 : code_integer] : (zero_zero(code_integer) = X0 => zero_zero(int) = iG119(X0))),
% 8.42/2.12    introduced(fool_ite_definition,[new_symbols(definition,[iG119])])).
% 8.42/2.12  tff(f45622,plain,(
% 8.42/2.12    ( ! [X0 : code_integer] : (aa(product_prod(code_integer,code_integer),int,aa(fun(code_integer,fun(code_integer,int)),fun(product_prod(code_integer,code_integer),int),product_case_prod(code_integer,code_integer,int),aTP_Lamp_ky(code_integer,fun(code_integer,int))),code_divmod_integer(X0,aa(num,code_integer,numeral_numeral(code_integer),aa(num,num,bit0,one2)))) = iG119(X0) | zero_zero(code_integer) = X0) )),
% 8.42/2.12    inference(cnf_transformation,[],[f26409])).
% 8.42/2.12  tff(f45619,plain,(
% 8.42/2.12    ( ! [X1 : code_integer] : (aa(int,int,uminus_uminus(int),code_int_of_integer(aa(code_integer,code_integer,uminus_uminus(code_integer),X1))) = iG120(X1) | ($true != aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),X1),zero_zero(code_integer)))) )),
% 8.42/2.12    inference(cnf_transformation,[],[f26408])).
% 8.42/2.12  tff(f26408,plain,(
% 8.42/2.12    ! [X0 : code_integer] : (iG119(X0) = iG120(X0) | ($true = aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),X0),zero_zero(code_integer)))) & ! [X1 : code_integer] : (aa(int,int,uminus_uminus(int),code_int_of_integer(aa(code_integer,code_integer,uminus_uminus(code_integer),X1))) = iG120(X1) | ($true != aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),X1),zero_zero(code_integer))))),
% 8.42/2.12    inference(ennf_transformation,[],[f21055])).
% 8.42/2.12  tff(f21055,plain,(
% 8.42/2.12    ! [X0 : code_integer] : (($true != aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),X0),zero_zero(code_integer))) => iG119(X0) = iG120(X0)) & ! [X1 : code_integer] : (($true = aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),X1),zero_zero(code_integer))) => aa(int,int,uminus_uminus(int),code_int_of_integer(aa(code_integer,code_integer,uminus_uminus(code_integer),X1))) = iG120(X1))),
% 8.42/2.12    inference(flattening,[],[f21054])).
% 8.42/2.12  tff(f21054,plain,(
% 8.42/2.12    ! [X0 : code_integer] : (~($true = aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),X0),zero_zero(code_integer))) => iG119(X0) = iG120(X0)) & ! [X1 : code_integer] : (($true = aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),X1),zero_zero(code_integer))) => aa(int,int,uminus_uminus(int),code_int_of_integer(aa(code_integer,code_integer,uminus_uminus(code_integer),X1))) = iG120(X1))),
% 8.42/2.12    inference(rectify,[],[f9950])).
% 8.42/2.12  tff(f9950,plain,(
% 8.42/2.12    ! [X0 : code_integer] : (~($true = aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),X0),zero_zero(code_integer))) => iG119(X0) = iG120(X0)) & ! [X0 : code_integer] : (($true = aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),X0),zero_zero(code_integer))) => aa(int,int,uminus_uminus(int),code_int_of_integer(aa(code_integer,code_integer,uminus_uminus(code_integer),X0))) = iG120(X0))),
% 8.42/2.12    introduced(fool_ite_definition,[new_symbols(definition,[iG120])])).
% 8.42/2.12  tff(f45620,plain,(
% 8.42/2.12    ( ! [X0 : code_integer] : (iG119(X0) = iG120(X0) | ($true = aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),X0),zero_zero(code_integer)))) )),
% 8.42/2.12    inference(cnf_transformation,[],[f26408])).
% 8.42/2.12  tff(f45617,plain,(
% 8.42/2.12    ( ! [X1 : complex] : (one_one(real) = iG121(X1) | zero_zero(real) != im(X1)) )),
% 8.42/2.12    inference(cnf_transformation,[],[f26407])).
% 8.42/2.12  tff(f26407,plain,(
% 8.42/2.12    ! [X0 : complex] : (aa(real,real,sgn_sgn(real),im(X0)) = iG121(X0) | zero_zero(real) = im(X0)) & ! [X1 : complex] : (one_one(real) = iG121(X1) | zero_zero(real) != im(X1))),
% 8.42/2.12    inference(ennf_transformation,[],[f21053])).
% 8.42/2.12  tff(f21053,plain,(
% 8.42/2.12    ! [X0 : complex] : (zero_zero(real) != im(X0) => aa(real,real,sgn_sgn(real),im(X0)) = iG121(X0)) & ! [X1 : complex] : (zero_zero(real) = im(X1) => one_one(real) = iG121(X1))),
% 8.42/2.12    inference(flattening,[],[f21052])).
% 8.42/2.12  tff(f21052,plain,(
% 8.42/2.12    ! [X0 : complex] : (~zero_zero(real) = im(X0) => aa(real,real,sgn_sgn(real),im(X0)) = iG121(X0)) & ! [X1 : complex] : (zero_zero(real) = im(X1) => one_one(real) = iG121(X1))),
% 8.42/2.12    inference(rectify,[],[f9953])).
% 8.42/2.12  tff(f9953,plain,(
% 8.42/2.12    ! [X0 : complex] : (~zero_zero(real) = im(X0) => aa(real,real,sgn_sgn(real),im(X0)) = iG121(X0)) & ! [X0 : complex] : (zero_zero(real) = im(X0) => one_one(real) = iG121(X0))),
% 8.42/2.12    introduced(fool_ite_definition,[new_symbols(definition,[iG121])])).
% 8.42/2.13  tff(f45618,plain,(
% 8.42/2.13    ( ! [X0 : complex] : (aa(real,real,sgn_sgn(real),im(X0)) = iG121(X0) | zero_zero(real) = im(X0)) )),
% 8.42/2.13    inference(cnf_transformation,[],[f26407])).
% 8.42/2.13  tff(f45615,plain,(
% 8.42/2.13    ( ! [X1 : complex] : (one_one(real) = iG122(X1) | zero_zero(real) != im(X1)) )),
% 8.42/2.13    inference(cnf_transformation,[],[f26406])).
% 8.42/2.13  tff(f26406,plain,(
% 8.42/2.13    ! [X0 : complex] : (aa(real,real,sgn_sgn(real),im(X0)) = iG122(X0) | zero_zero(real) = im(X0)) & ! [X1 : complex] : (one_one(real) = iG122(X1) | zero_zero(real) != im(X1))),
% 8.42/2.13    inference(ennf_transformation,[],[f21051])).
% 8.42/2.13  tff(f21051,plain,(
% 8.42/2.13    ! [X0 : complex] : (zero_zero(real) != im(X0) => aa(real,real,sgn_sgn(real),im(X0)) = iG122(X0)) & ! [X1 : complex] : (zero_zero(real) = im(X1) => one_one(real) = iG122(X1))),
% 8.42/2.13    inference(flattening,[],[f21050])).
% 8.42/2.13  tff(f21050,plain,(
% 8.42/2.13    ! [X0 : complex] : (~zero_zero(real) = im(X0) => aa(real,real,sgn_sgn(real),im(X0)) = iG122(X0)) & ! [X1 : complex] : (zero_zero(real) = im(X1) => one_one(real) = iG122(X1))),
% 8.42/2.13    inference(rectify,[],[f9956])).
% 8.42/2.13  tff(f9956,plain,(
% 8.42/2.13    ! [X0 : complex] : (~zero_zero(real) = im(X0) => aa(real,real,sgn_sgn(real),im(X0)) = iG122(X0)) & ! [X0 : complex] : (zero_zero(real) = im(X0) => one_one(real) = iG122(X0))),
% 8.42/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG122])])).
% 8.42/2.13  tff(f45616,plain,(
% 8.42/2.13    ( ! [X0 : complex] : (aa(real,real,sgn_sgn(real),im(X0)) = iG122(X0) | zero_zero(real) = im(X0)) )),
% 8.42/2.13    inference(cnf_transformation,[],[f26406])).
% 8.42/2.13  tff(f45613,plain,(
% 8.42/2.13    ( ! [X1 : nat] : (inc(num_of_nat(X1)) = iG123(X1) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),zero_zero(nat)),X1))) )),
% 8.42/2.13    inference(cnf_transformation,[],[f26405])).
% 8.42/2.13  tff(f26405,plain,(
% 8.42/2.13    ! [X0 : nat] : (one2 = iG123(X0) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),zero_zero(nat)),X0))) & ! [X1 : nat] : (inc(num_of_nat(X1)) = iG123(X1) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),zero_zero(nat)),X1)))),
% 8.42/2.13    inference(ennf_transformation,[],[f21049])).
% 8.42/2.13  tff(f21049,plain,(
% 8.42/2.13    ! [X0 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),zero_zero(nat)),X0)) => one2 = iG123(X0)) & ! [X1 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),zero_zero(nat)),X1)) => inc(num_of_nat(X1)) = iG123(X1))),
% 8.42/2.13    inference(flattening,[],[f21048])).
% 8.42/2.13  tff(f21048,plain,(
% 8.42/2.13    ! [X0 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),zero_zero(nat)),X0)) => one2 = iG123(X0)) & ! [X1 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),zero_zero(nat)),X1)) => inc(num_of_nat(X1)) = iG123(X1))),
% 8.42/2.13    inference(rectify,[],[f9959])).
% 8.42/2.13  tff(f9959,plain,(
% 8.42/2.13    ! [X0 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),zero_zero(nat)),X0)) => one2 = iG123(X0)) & ! [X0 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),zero_zero(nat)),X0)) => inc(num_of_nat(X0)) = iG123(X0))),
% 8.42/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG123])])).
% 8.42/2.13  tff(f45614,plain,(
% 8.42/2.13    ( ! [X0 : nat] : (one2 = iG123(X0) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),zero_zero(nat)),X0))) )),
% 8.42/2.13    inference(cnf_transformation,[],[f26405])).
% 8.42/2.13  tff(f45611,plain,(
% 8.42/2.13    ( ! [X1 : rat] : (one_one(rat) = iG124(X1) | ($true != aa(rat,$o,aa(rat,fun(rat,$o),ord_less(rat),zero_zero(rat)),X1))) )),
% 8.42/2.13    inference(cnf_transformation,[],[f26404])).
% 8.42/2.13  tff(f26404,plain,(
% 8.42/2.13    ! [X0 : rat] : (aa(rat,rat,uminus_uminus(rat),one_one(rat)) = iG124(X0) | ($true = aa(rat,$o,aa(rat,fun(rat,$o),ord_less(rat),zero_zero(rat)),X0))) & ! [X1 : rat] : (one_one(rat) = iG124(X1) | ($true != aa(rat,$o,aa(rat,fun(rat,$o),ord_less(rat),zero_zero(rat)),X1)))),
% 8.42/2.13    inference(ennf_transformation,[],[f21047])).
% 8.42/2.13  tff(f21047,plain,(
% 8.42/2.13    ! [X0 : rat] : (($true != aa(rat,$o,aa(rat,fun(rat,$o),ord_less(rat),zero_zero(rat)),X0)) => aa(rat,rat,uminus_uminus(rat),one_one(rat)) = iG124(X0)) & ! [X1 : rat] : (($true = aa(rat,$o,aa(rat,fun(rat,$o),ord_less(rat),zero_zero(rat)),X1)) => one_one(rat) = iG124(X1))),
% 8.42/2.13    inference(flattening,[],[f21046])).
% 8.42/2.13  tff(f21046,plain,(
% 8.42/2.13    ! [X0 : rat] : (~($true = aa(rat,$o,aa(rat,fun(rat,$o),ord_less(rat),zero_zero(rat)),X0)) => aa(rat,rat,uminus_uminus(rat),one_one(rat)) = iG124(X0)) & ! [X1 : rat] : (($true = aa(rat,$o,aa(rat,fun(rat,$o),ord_less(rat),zero_zero(rat)),X1)) => one_one(rat) = iG124(X1))),
% 8.42/2.13    inference(rectify,[],[f9962])).
% 8.42/2.13  tff(f9962,plain,(
% 8.42/2.13    ! [X0 : rat] : (~($true = aa(rat,$o,aa(rat,fun(rat,$o),ord_less(rat),zero_zero(rat)),X0)) => aa(rat,rat,uminus_uminus(rat),one_one(rat)) = iG124(X0)) & ! [X0 : rat] : (($true = aa(rat,$o,aa(rat,fun(rat,$o),ord_less(rat),zero_zero(rat)),X0)) => one_one(rat) = iG124(X0))),
% 8.42/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG124])])).
% 8.42/2.13  tff(f45612,plain,(
% 8.42/2.13    ( ! [X0 : rat] : (aa(rat,rat,uminus_uminus(rat),one_one(rat)) = iG124(X0) | ($true = aa(rat,$o,aa(rat,fun(rat,$o),ord_less(rat),zero_zero(rat)),X0))) )),
% 8.42/2.13    inference(cnf_transformation,[],[f26404])).
% 8.42/2.13  tff(f61656,plain,(
% 8.42/2.13    zero_zero(rat) = iG125(zero_zero(rat))),
% 8.42/2.13    inference(equality_resolution,[],[f45609])).
% 8.42/2.13  tff(f45609,plain,(
% 8.42/2.13    ( ! [X1 : rat] : (zero_zero(rat) = iG125(X1) | zero_zero(rat) != X1) )),
% 8.42/2.13    inference(cnf_transformation,[],[f26403])).
% 8.42/2.13  tff(f26403,plain,(
% 8.42/2.13    ! [X0 : rat] : (iG124(X0) = iG125(X0) | zero_zero(rat) = X0) & ! [X1 : rat] : (zero_zero(rat) = iG125(X1) | zero_zero(rat) != X1)),
% 8.42/2.13    inference(ennf_transformation,[],[f21045])).
% 8.42/2.13  tff(f21045,plain,(
% 8.42/2.13    ! [X0 : rat] : (zero_zero(rat) != X0 => iG124(X0) = iG125(X0)) & ! [X1 : rat] : (zero_zero(rat) = X1 => zero_zero(rat) = iG125(X1))),
% 8.42/2.13    inference(flattening,[],[f21044])).
% 8.42/2.13  tff(f21044,plain,(
% 8.42/2.13    ! [X0 : rat] : (~zero_zero(rat) = X0 => iG124(X0) = iG125(X0)) & ! [X1 : rat] : (zero_zero(rat) = X1 => zero_zero(rat) = iG125(X1))),
% 8.42/2.13    inference(rectify,[],[f9963])).
% 8.42/2.13  tff(f9963,plain,(
% 8.42/2.13    ! [X0 : rat] : (~zero_zero(rat) = X0 => iG124(X0) = iG125(X0)) & ! [X0 : rat] : (zero_zero(rat) = X0 => zero_zero(rat) = iG125(X0))),
% 8.42/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG125])])).
% 8.42/2.13  tff(f45610,plain,(
% 8.42/2.13    ( ! [X0 : rat] : (iG124(X0) = iG125(X0) | zero_zero(rat) = X0) )),
% 8.42/2.13    inference(cnf_transformation,[],[f26403])).
% 8.42/2.13  tff(f45607,plain,(
% 8.42/2.13    ( ! [X1 : code_integer] : (aa(code_integer,code_integer,uminus_uminus(code_integer),one_one(code_integer)) = iG126(X1) | ($true != aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),X1),zero_zero(code_integer)))) )),
% 8.42/2.13    inference(cnf_transformation,[],[f26402])).
% 8.42/2.13  tff(f26402,plain,(
% 8.42/2.13    ! [X0 : code_integer] : (one_one(code_integer) = iG126(X0) | ($true = aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),X0),zero_zero(code_integer)))) & ! [X1 : code_integer] : (aa(code_integer,code_integer,uminus_uminus(code_integer),one_one(code_integer)) = iG126(X1) | ($true != aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),X1),zero_zero(code_integer))))),
% 8.42/2.13    inference(ennf_transformation,[],[f21043])).
% 8.42/2.13  tff(f21043,plain,(
% 8.42/2.13    ! [X0 : code_integer] : (($true != aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),X0),zero_zero(code_integer))) => one_one(code_integer) = iG126(X0)) & ! [X1 : code_integer] : (($true = aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),X1),zero_zero(code_integer))) => aa(code_integer,code_integer,uminus_uminus(code_integer),one_one(code_integer)) = iG126(X1))),
% 8.42/2.13    inference(flattening,[],[f21042])).
% 8.42/2.13  tff(f21042,plain,(
% 8.42/2.13    ! [X0 : code_integer] : (~($true = aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),X0),zero_zero(code_integer))) => one_one(code_integer) = iG126(X0)) & ! [X1 : code_integer] : (($true = aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),X1),zero_zero(code_integer))) => aa(code_integer,code_integer,uminus_uminus(code_integer),one_one(code_integer)) = iG126(X1))),
% 8.42/2.13    inference(rectify,[],[f9966])).
% 8.42/2.13  tff(f9966,plain,(
% 8.42/2.13    ! [X0 : code_integer] : (~($true = aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),X0),zero_zero(code_integer))) => one_one(code_integer) = iG126(X0)) & ! [X0 : code_integer] : (($true = aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),X0),zero_zero(code_integer))) => aa(code_integer,code_integer,uminus_uminus(code_integer),one_one(code_integer)) = iG126(X0))),
% 8.42/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG126])])).
% 8.42/2.13  tff(f45608,plain,(
% 8.42/2.13    ( ! [X0 : code_integer] : (one_one(code_integer) = iG126(X0) | ($true = aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),X0),zero_zero(code_integer)))) )),
% 8.42/2.13    inference(cnf_transformation,[],[f26402])).
% 8.42/2.13  tff(f61655,plain,(
% 8.42/2.13    zero_zero(code_integer) = iG127(zero_zero(code_integer))),
% 8.42/2.13    inference(equality_resolution,[],[f45605])).
% 8.42/2.13  tff(f45605,plain,(
% 8.42/2.13    ( ! [X1 : code_integer] : (zero_zero(code_integer) = iG127(X1) | zero_zero(code_integer) != X1) )),
% 8.42/2.13    inference(cnf_transformation,[],[f26401])).
% 8.42/2.13  tff(f26401,plain,(
% 8.42/2.13    ! [X0 : code_integer] : (iG126(X0) = iG127(X0) | zero_zero(code_integer) = X0) & ! [X1 : code_integer] : (zero_zero(code_integer) = iG127(X1) | zero_zero(code_integer) != X1)),
% 8.42/2.13    inference(ennf_transformation,[],[f21041])).
% 8.42/2.13  tff(f21041,plain,(
% 8.42/2.13    ! [X0 : code_integer] : (zero_zero(code_integer) != X0 => iG126(X0) = iG127(X0)) & ! [X1 : code_integer] : (zero_zero(code_integer) = X1 => zero_zero(code_integer) = iG127(X1))),
% 8.42/2.13    inference(flattening,[],[f21040])).
% 8.42/2.13  tff(f21040,plain,(
% 8.42/2.13    ! [X0 : code_integer] : (~zero_zero(code_integer) = X0 => iG126(X0) = iG127(X0)) & ! [X1 : code_integer] : (zero_zero(code_integer) = X1 => zero_zero(code_integer) = iG127(X1))),
% 8.42/2.13    inference(rectify,[],[f9967])).
% 8.42/2.13  tff(f9967,plain,(
% 8.42/2.13    ! [X0 : code_integer] : (~zero_zero(code_integer) = X0 => iG126(X0) = iG127(X0)) & ! [X0 : code_integer] : (zero_zero(code_integer) = X0 => zero_zero(code_integer) = iG127(X0))),
% 8.42/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG127])])).
% 8.42/2.13  tff(f45606,plain,(
% 8.42/2.13    ( ! [X0 : code_integer] : (iG126(X0) = iG127(X0) | zero_zero(code_integer) = X0) )),
% 8.42/2.13    inference(cnf_transformation,[],[f26401])).
% 8.42/2.13  tff(f45603,plain,(
% 8.42/2.13    ( ! [X1 : int] : (one_one(int) = iG128(X1) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),zero_zero(int)),X1))) )),
% 8.42/2.13    inference(cnf_transformation,[],[f26400])).
% 8.42/2.13  tff(f26400,plain,(
% 8.42/2.13    ! [X0 : int] : (aa(int,int,uminus_uminus(int),one_one(int)) = iG128(X0) | ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),zero_zero(int)),X0))) & ! [X1 : int] : (one_one(int) = iG128(X1) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),zero_zero(int)),X1)))),
% 8.42/2.13    inference(ennf_transformation,[],[f21039])).
% 8.42/2.13  tff(f21039,plain,(
% 8.42/2.13    ! [X0 : int] : (($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),zero_zero(int)),X0)) => aa(int,int,uminus_uminus(int),one_one(int)) = iG128(X0)) & ! [X1 : int] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),zero_zero(int)),X1)) => one_one(int) = iG128(X1))),
% 8.42/2.13    inference(flattening,[],[f21038])).
% 8.42/2.13  tff(f21038,plain,(
% 8.42/2.13    ! [X0 : int] : (~($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),zero_zero(int)),X0)) => aa(int,int,uminus_uminus(int),one_one(int)) = iG128(X0)) & ! [X1 : int] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),zero_zero(int)),X1)) => one_one(int) = iG128(X1))),
% 8.42/2.13    inference(rectify,[],[f9970])).
% 8.42/2.13  tff(f9970,plain,(
% 8.42/2.13    ! [X0 : int] : (~($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),zero_zero(int)),X0)) => aa(int,int,uminus_uminus(int),one_one(int)) = iG128(X0)) & ! [X0 : int] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),zero_zero(int)),X0)) => one_one(int) = iG128(X0))),
% 8.42/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG128])])).
% 8.42/2.13  tff(f45604,plain,(
% 8.42/2.13    ( ! [X0 : int] : (aa(int,int,uminus_uminus(int),one_one(int)) = iG128(X0) | ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),zero_zero(int)),X0))) )),
% 8.42/2.13    inference(cnf_transformation,[],[f26400])).
% 8.42/2.13  tff(f61654,plain,(
% 8.42/2.13    zero_zero(int) = iG129(zero_zero(int))),
% 8.42/2.13    inference(equality_resolution,[],[f45601])).
% 8.42/2.13  tff(f45601,plain,(
% 8.42/2.13    ( ! [X1 : int] : (zero_zero(int) = iG129(X1) | zero_zero(int) != X1) )),
% 8.42/2.13    inference(cnf_transformation,[],[f26399])).
% 8.42/2.13  tff(f26399,plain,(
% 8.42/2.13    ! [X0 : int] : (iG128(X0) = iG129(X0) | zero_zero(int) = X0) & ! [X1 : int] : (zero_zero(int) = iG129(X1) | zero_zero(int) != X1)),
% 8.42/2.13    inference(ennf_transformation,[],[f21037])).
% 8.42/2.13  tff(f21037,plain,(
% 8.42/2.13    ! [X0 : int] : (zero_zero(int) != X0 => iG128(X0) = iG129(X0)) & ! [X1 : int] : (zero_zero(int) = X1 => zero_zero(int) = iG129(X1))),
% 8.42/2.13    inference(flattening,[],[f21036])).
% 8.42/2.13  tff(f21036,plain,(
% 8.42/2.13    ! [X0 : int] : (~zero_zero(int) = X0 => iG128(X0) = iG129(X0)) & ! [X1 : int] : (zero_zero(int) = X1 => zero_zero(int) = iG129(X1))),
% 8.42/2.13    inference(rectify,[],[f9971])).
% 8.42/2.13  tff(f9971,plain,(
% 8.42/2.13    ! [X0 : int] : (~zero_zero(int) = X0 => iG128(X0) = iG129(X0)) & ! [X0 : int] : (zero_zero(int) = X0 => zero_zero(int) = iG129(X0))),
% 8.42/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG129])])).
% 8.42/2.13  tff(f45602,plain,(
% 8.42/2.13    ( ! [X0 : int] : (iG128(X0) = iG129(X0) | zero_zero(int) = X0) )),
% 8.42/2.13    inference(cnf_transformation,[],[f26399])).
% 8.42/2.13  tff(f45599,plain,(
% 8.42/2.13    ( ! [X0 : int] : (($true = bG130(X0)) | ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0)) )),
% 8.42/2.13    inference(cnf_transformation,[],[f36481])).
% 8.42/2.13  tff(f36481,plain,(
% 8.42/2.13    ! [X0 : int] : ((dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | ($true != bG130(X0))) & (($true = bG130(X0)) | ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0)))),
% 8.42/2.13    inference(nnf_transformation,[],[f9974])).
% 8.42/2.13  tff(f9974,plain,(
% 8.42/2.13    ! [X0 : int] : (dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) <=> ($true = bG130(X0)))),
% 8.42/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG130])])).
% 8.42/2.13  tff(f45600,plain,(
% 8.42/2.13    ( ! [X0 : int] : (dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | ($true != bG130(X0))) )),
% 8.42/2.13    inference(cnf_transformation,[],[f36481])).
% 8.42/2.13  tff(f45597,plain,(
% 8.42/2.13    ( ! [X1 : real] : (one_one(real) = iG131(X1) | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X1))) )),
% 8.42/2.13    inference(cnf_transformation,[],[f26398])).
% 8.42/2.13  tff(f26398,plain,(
% 8.42/2.13    ! [X0 : real] : (aa(real,real,uminus_uminus(real),one_one(real)) = iG131(X0) | ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X0))) & ! [X1 : real] : (one_one(real) = iG131(X1) | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X1)))),
% 8.42/2.13    inference(ennf_transformation,[],[f21035])).
% 8.42/2.13  tff(f21035,plain,(
% 8.42/2.13    ! [X0 : real] : (($true != aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X0)) => aa(real,real,uminus_uminus(real),one_one(real)) = iG131(X0)) & ! [X1 : real] : (($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X1)) => one_one(real) = iG131(X1))),
% 8.42/2.13    inference(flattening,[],[f21034])).
% 8.42/2.13  tff(f21034,plain,(
% 8.42/2.13    ! [X0 : real] : (~($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X0)) => aa(real,real,uminus_uminus(real),one_one(real)) = iG131(X0)) & ! [X1 : real] : (($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X1)) => one_one(real) = iG131(X1))),
% 8.42/2.13    inference(rectify,[],[f9977])).
% 8.42/2.13  tff(f9977,plain,(
% 8.42/2.13    ! [X0 : real] : (~($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X0)) => aa(real,real,uminus_uminus(real),one_one(real)) = iG131(X0)) & ! [X0 : real] : (($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X0)) => one_one(real) = iG131(X0))),
% 8.42/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG131])])).
% 8.42/2.13  tff(f45598,plain,(
% 8.42/2.13    ( ! [X0 : real] : (aa(real,real,uminus_uminus(real),one_one(real)) = iG131(X0) | ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),zero_zero(real)),X0))) )),
% 8.42/2.13    inference(cnf_transformation,[],[f26398])).
% 8.42/2.13  tff(f61653,plain,(
% 8.42/2.13    zero_zero(real) = iG132(zero_zero(real))),
% 8.42/2.13    inference(equality_resolution,[],[f45595])).
% 8.42/2.13  tff(f45595,plain,(
% 8.42/2.13    ( ! [X1 : real] : (zero_zero(real) = iG132(X1) | zero_zero(real) != X1) )),
% 8.42/2.13    inference(cnf_transformation,[],[f26397])).
% 8.42/2.13  tff(f26397,plain,(
% 8.42/2.13    ! [X0 : real] : (iG131(X0) = iG132(X0) | zero_zero(real) = X0) & ! [X1 : real] : (zero_zero(real) = iG132(X1) | zero_zero(real) != X1)),
% 8.42/2.13    inference(ennf_transformation,[],[f21033])).
% 8.42/2.13  tff(f21033,plain,(
% 8.42/2.13    ! [X0 : real] : (zero_zero(real) != X0 => iG131(X0) = iG132(X0)) & ! [X1 : real] : (zero_zero(real) = X1 => zero_zero(real) = iG132(X1))),
% 8.42/2.13    inference(flattening,[],[f21032])).
% 8.42/2.13  tff(f21032,plain,(
% 8.42/2.13    ! [X0 : real] : (~zero_zero(real) = X0 => iG131(X0) = iG132(X0)) & ! [X1 : real] : (zero_zero(real) = X1 => zero_zero(real) = iG132(X1))),
% 8.42/2.13    inference(rectify,[],[f9978])).
% 8.42/2.13  tff(f9978,plain,(
% 8.42/2.13    ! [X0 : real] : (~zero_zero(real) = X0 => iG131(X0) = iG132(X0)) & ! [X0 : real] : (zero_zero(real) = X0 => zero_zero(real) = iG132(X0))),
% 8.42/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG132])])).
% 8.42/2.13  tff(f45596,plain,(
% 8.42/2.13    ( ! [X0 : real] : (iG131(X0) = iG132(X0) | zero_zero(real) = X0) )),
% 8.42/2.13    inference(cnf_transformation,[],[f26397])).
% 8.42/2.13  tff(f45593,plain,(
% 8.42/2.13    ( ! [X1 : real] : (aa(real,real,uminus_uminus(real),X1) = iG133(X1) | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less(real),X1),zero_zero(real)))) )),
% 8.42/2.13    inference(cnf_transformation,[],[f26396])).
% 8.42/2.13  tff(f26396,plain,(
% 8.42/2.13    ! [X0 : real] : (iG133(X0) = X0 | ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X0),zero_zero(real)))) & ! [X1 : real] : (aa(real,real,uminus_uminus(real),X1) = iG133(X1) | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less(real),X1),zero_zero(real))))),
% 8.42/2.13    inference(ennf_transformation,[],[f21031])).
% 8.42/2.13  tff(f21031,plain,(
% 8.42/2.13    ! [X0 : real] : (($true != aa(real,$o,aa(real,fun(real,$o),ord_less(real),X0),zero_zero(real))) => iG133(X0) = X0) & ! [X1 : real] : (($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X1),zero_zero(real))) => aa(real,real,uminus_uminus(real),X1) = iG133(X1))),
% 8.42/2.13    inference(flattening,[],[f21030])).
% 8.42/2.13  tff(f21030,plain,(
% 8.42/2.13    ! [X0 : real] : (~($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X0),zero_zero(real))) => iG133(X0) = X0) & ! [X1 : real] : (($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X1),zero_zero(real))) => aa(real,real,uminus_uminus(real),X1) = iG133(X1))),
% 8.42/2.13    inference(rectify,[],[f9981])).
% 8.42/2.13  tff(f9981,plain,(
% 8.42/2.13    ! [X0 : real] : (~($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X0),zero_zero(real))) => iG133(X0) = X0) & ! [X0 : real] : (($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X0),zero_zero(real))) => aa(real,real,uminus_uminus(real),X0) = iG133(X0))),
% 8.42/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG133])])).
% 8.42/2.13  tff(f45594,plain,(
% 8.42/2.13    ( ! [X0 : real] : (iG133(X0) = X0 | ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X0),zero_zero(real)))) )),
% 8.42/2.13    inference(cnf_transformation,[],[f26396])).
% 8.42/2.13  tff(f45591,plain,(
% 8.42/2.13    ( ! [X1 : int] : (iG134(X1) = X1 | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X1))) )),
% 8.42/2.13    inference(cnf_transformation,[],[f26395])).
% 8.42/2.13  tff(f26395,plain,(
% 8.42/2.13    ! [X0 : int] : (zero_zero(int) = iG134(X0) | ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0))) & ! [X1 : int] : (iG134(X1) = X1 | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X1)))),
% 8.42/2.13    inference(ennf_transformation,[],[f21029])).
% 8.42/2.13  tff(f21029,plain,(
% 8.42/2.13    ! [X0 : int] : (($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0)) => zero_zero(int) = iG134(X0)) & ! [X1 : int] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X1)) => iG134(X1) = X1)),
% 8.42/2.13    inference(flattening,[],[f21028])).
% 8.42/2.13  tff(f21028,plain,(
% 8.42/2.13    ! [X0 : int] : (~($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0)) => zero_zero(int) = iG134(X0)) & ! [X1 : int] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X1)) => iG134(X1) = X1)),
% 8.42/2.13    inference(rectify,[],[f9984])).
% 8.42/2.13  tff(f9984,plain,(
% 8.42/2.13    ! [X0 : int] : (~($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0)) => zero_zero(int) = iG134(X0)) & ! [X0 : int] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0)) => iG134(X0) = X0)),
% 8.42/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG134])])).
% 8.42/2.13  tff(f45592,plain,(
% 8.42/2.13    ( ! [X0 : int] : (zero_zero(int) = iG134(X0) | ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0))) )),
% 8.42/2.13    inference(cnf_transformation,[],[f26395])).
% 8.42/2.13  tff(f61652,plain,(
% 8.42/2.13    zero_zero(nat) = iG135(bot_bot(set(nat)))),
% 8.42/2.13    inference(equality_resolution,[],[f45589])).
% 8.42/2.13  tff(f45589,plain,(
% 8.42/2.13    ( ! [X1 : set(nat)] : (zero_zero(nat) = iG135(X1) | bot_bot(set(nat)) != X1) )),
% 8.42/2.13    inference(cnf_transformation,[],[f26394])).
% 8.42/2.13  tff(f26394,plain,(
% 8.42/2.13    ! [X0 : set(nat)] : (aa(set(nat),nat,lattic643756798349783984er_Max(nat),X0) = iG135(X0) | bot_bot(set(nat)) = X0) & ! [X1 : set(nat)] : (zero_zero(nat) = iG135(X1) | bot_bot(set(nat)) != X1)),
% 8.42/2.13    inference(ennf_transformation,[],[f21027])).
% 8.42/2.13  tff(f21027,plain,(
% 8.42/2.13    ! [X0 : set(nat)] : (bot_bot(set(nat)) != X0 => aa(set(nat),nat,lattic643756798349783984er_Max(nat),X0) = iG135(X0)) & ! [X1 : set(nat)] : (bot_bot(set(nat)) = X1 => zero_zero(nat) = iG135(X1))),
% 8.42/2.13    inference(flattening,[],[f21026])).
% 8.42/2.13  tff(f21026,plain,(
% 8.42/2.13    ! [X0 : set(nat)] : (~bot_bot(set(nat)) = X0 => aa(set(nat),nat,lattic643756798349783984er_Max(nat),X0) = iG135(X0)) & ! [X1 : set(nat)] : (bot_bot(set(nat)) = X1 => zero_zero(nat) = iG135(X1))),
% 8.42/2.13    inference(rectify,[],[f9987])).
% 8.42/2.13  tff(f9987,plain,(
% 8.42/2.13    ! [X0 : set(nat)] : (~bot_bot(set(nat)) = X0 => aa(set(nat),nat,lattic643756798349783984er_Max(nat),X0) = iG135(X0)) & ! [X0 : set(nat)] : (bot_bot(set(nat)) = X0 => zero_zero(nat) = iG135(X0))),
% 8.42/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG135])])).
% 8.42/2.13  tff(f45590,plain,(
% 8.42/2.13    ( ! [X0 : set(nat)] : (aa(set(nat),nat,lattic643756798349783984er_Max(nat),X0) = iG135(X0) | bot_bot(set(nat)) = X0) )),
% 8.42/2.13    inference(cnf_transformation,[],[f26394])).
% 8.42/2.13  tff(f61651,plain,(
% 8.42/2.13    ($true = bG136(zero_zero(nat)))),
% 8.42/2.13    inference(equality_resolution,[],[f45587])).
% 8.42/2.13  tff(f45587,plain,(
% 8.42/2.13    ( ! [X0 : nat] : (($true = bG136(X0)) | zero_zero(nat) != X0) )),
% 8.42/2.13    inference(cnf_transformation,[],[f36480])).
% 8.42/2.13  tff(f36480,plain,(
% 8.42/2.13    ! [X0 : nat] : ((zero_zero(nat) = X0 | ($true != bG136(X0))) & (($true = bG136(X0)) | zero_zero(nat) != X0))),
% 8.42/2.13    inference(nnf_transformation,[],[f9990])).
% 8.42/2.13  tff(f9990,plain,(
% 8.42/2.13    ! [X0 : nat] : (zero_zero(nat) = X0 <=> ($true = bG136(X0)))),
% 8.42/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG136])])).
% 8.42/2.13  tff(f45588,plain,(
% 8.42/2.13    ( ! [X0 : nat] : (zero_zero(nat) = X0 | ($true != bG136(X0))) )),
% 8.42/2.13    inference(cnf_transformation,[],[f36480])).
% 8.42/2.13  tff(f45585,plain,(
% 8.42/2.13    ( ! [X0 : nat] : (($true = bG137(X0)) | aa(nat,nat,suc,zero_zero(nat)) = X0) )),
% 8.42/2.13    inference(cnf_transformation,[],[f36479])).
% 8.42/2.13  tff(f36479,plain,(
% 8.42/2.13    ! [X0 : nat] : ((aa(nat,nat,suc,zero_zero(nat)) != X0 | ($true != bG137(X0))) & (($true = bG137(X0)) | aa(nat,nat,suc,zero_zero(nat)) = X0))),
% 8.42/2.13    inference(nnf_transformation,[],[f9993])).
% 8.42/2.13  tff(f9993,plain,(
% 8.42/2.13    ! [X0 : nat] : (aa(nat,nat,suc,zero_zero(nat)) != X0 <=> ($true = bG137(X0)))),
% 8.42/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG137])])).
% 8.42/2.13  tff(f61650,plain,(
% 8.42/2.13    ($true != bG137(aa(nat,nat,suc,zero_zero(nat))))),
% 8.42/2.13    inference(equality_resolution,[],[f45586])).
% 8.42/2.13  tff(f45586,plain,(
% 8.42/2.13    ( ! [X0 : nat] : (aa(nat,nat,suc,zero_zero(nat)) != X0 | ($true != bG137(X0))) )),
% 8.42/2.13    inference(cnf_transformation,[],[f36479])).
% 8.42/2.13  tff(f45584,plain,(
% 8.42/2.13    ( ! [X0 : num] : (aa(num,code_integer,code_integer_of_num,X0) = lG138(X0)) )),
% 8.42/2.13    inference(cnf_transformation,[],[f9996])).
% 8.42/2.13  tff(f9996,plain,(
% 8.42/2.13    ! [X0 : num] : aa(num,code_integer,code_integer_of_num,X0) = lG138(X0)),
% 8.42/2.13    introduced(fool_let_definition,[new_symbols(definition,[lG138])])).
% 8.42/2.13  tff(f45583,plain,(
% 8.42/2.13    ( ! [X0 : num] : (aa(num,code_integer,code_integer_of_num,X0) = lG139(X0)) )),
% 8.42/2.13    inference(cnf_transformation,[],[f9999])).
% 8.42/2.13  tff(f9999,plain,(
% 8.42/2.13    ! [X0 : num] : aa(num,code_integer,code_integer_of_num,X0) = lG139(X0)),
% 8.42/2.13    introduced(fool_let_definition,[new_symbols(definition,[lG139])])).
% 8.42/2.13  tff(f45582,plain,(
% 8.42/2.13    ( ! [X0 : nat] : (divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X0)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))) = lG140(X0)) )),
% 8.42/2.13    inference(cnf_transformation,[],[f10002])).
% 8.42/2.13  tff(f10002,plain,(
% 8.42/2.13    ! [X0 : nat] : divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X0)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))) = lG140(X0)),
% 8.42/2.13    introduced(fool_let_definition,[new_symbols(definition,[lG140])])).
% 8.42/2.13  tff(f45581,plain,(
% 8.42/2.13    ( ! [X0 : nat] : (divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X0)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))) = lG141(X0)) )),
% 8.42/2.13    inference(cnf_transformation,[],[f10003])).
% 8.42/2.13  tff(f10003,plain,(
% 8.42/2.13    ! [X0 : nat] : divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X0)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))) = lG141(X0)),
% 8.42/2.13    introduced(fool_let_definition,[new_symbols(definition,[lG141])])).
% 8.42/2.13  tff(f45579,plain,(
% 8.42/2.13    ( ! [X1 : nat] : (vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,aa(nat,nat,suc,X1)),replicate(vEBT_VEBT,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),lG140(X1)),vEBT_vebt_buildup(lG140(X1))),vEBT_vebt_buildup(lG140(X1))) = iG142(X1) | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),aa(nat,nat,suc,aa(nat,nat,suc,X1)))) )),
% 8.42/2.13    inference(cnf_transformation,[],[f26393])).
% 8.42/2.13  tff(f26393,plain,(
% 8.42/2.13    ! [X0 : nat] : (vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,aa(nat,nat,suc,X0)),replicate(vEBT_VEBT,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,suc,lG141(X0))),vEBT_vebt_buildup(lG141(X0))),vEBT_vebt_buildup(aa(nat,nat,suc,lG141(X0)))) = iG142(X0) | dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),aa(nat,nat,suc,aa(nat,nat,suc,X0)))) & ! [X1 : nat] : (vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,aa(nat,nat,suc,X1)),replicate(vEBT_VEBT,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),lG140(X1)),vEBT_vebt_buildup(lG140(X1))),vEBT_vebt_buildup(lG140(X1))) = iG142(X1) | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),aa(nat,nat,suc,aa(nat,nat,suc,X1))))),
% 8.42/2.13    inference(ennf_transformation,[],[f21025])).
% 8.42/2.13  tff(f21025,plain,(
% 8.42/2.13    ! [X0 : nat] : (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),aa(nat,nat,suc,aa(nat,nat,suc,X0))) => vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,aa(nat,nat,suc,X0)),replicate(vEBT_VEBT,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,suc,lG141(X0))),vEBT_vebt_buildup(lG141(X0))),vEBT_vebt_buildup(aa(nat,nat,suc,lG141(X0)))) = iG142(X0)) & ! [X1 : nat] : (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),aa(nat,nat,suc,aa(nat,nat,suc,X1))) => vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,aa(nat,nat,suc,X1)),replicate(vEBT_VEBT,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),lG140(X1)),vEBT_vebt_buildup(lG140(X1))),vEBT_vebt_buildup(lG140(X1))) = iG142(X1))),
% 8.42/2.13    inference(flattening,[],[f21024])).
% 8.42/2.13  tff(f21024,plain,(
% 8.42/2.13    ! [X0 : nat] : (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),aa(nat,nat,suc,aa(nat,nat,suc,X0))) => vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,aa(nat,nat,suc,X0)),replicate(vEBT_VEBT,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,suc,lG141(X0))),vEBT_vebt_buildup(lG141(X0))),vEBT_vebt_buildup(aa(nat,nat,suc,lG141(X0)))) = iG142(X0)) & ! [X1 : nat] : (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),aa(nat,nat,suc,aa(nat,nat,suc,X1))) => vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,aa(nat,nat,suc,X1)),replicate(vEBT_VEBT,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),lG140(X1)),vEBT_vebt_buildup(lG140(X1))),vEBT_vebt_buildup(lG140(X1))) = iG142(X1))),
% 8.42/2.13    inference(rectify,[],[f10004])).
% 8.42/2.13  tff(f10004,plain,(
% 8.42/2.13    ! [X0 : nat] : (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),aa(nat,nat,suc,aa(nat,nat,suc,X0))) => vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,aa(nat,nat,suc,X0)),replicate(vEBT_VEBT,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,suc,lG141(X0))),vEBT_vebt_buildup(lG141(X0))),vEBT_vebt_buildup(aa(nat,nat,suc,lG141(X0)))) = iG142(X0)) & ! [X0 : nat] : (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),aa(nat,nat,suc,aa(nat,nat,suc,X0))) => vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,aa(nat,nat,suc,X0)),replicate(vEBT_VEBT,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),lG140(X0)),vEBT_vebt_buildup(lG140(X0))),vEBT_vebt_buildup(lG140(X0))) = iG142(X0))),
% 8.42/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG142])])).
% 8.42/2.13  tff(f45580,plain,(
% 8.42/2.13    ( ! [X0 : nat] : (vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,aa(nat,nat,suc,X0)),replicate(vEBT_VEBT,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,suc,lG141(X0))),vEBT_vebt_buildup(lG141(X0))),vEBT_vebt_buildup(aa(nat,nat,suc,lG141(X0)))) = iG142(X0) | dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),aa(nat,nat,suc,aa(nat,nat,suc,X0)))) )),
% 8.42/2.13    inference(cnf_transformation,[],[f26393])).
% 8.42/2.13  tff(f45577,plain,(
% 8.42/2.13    ( ! [X1 : int] : (one_one(real) = iG143(X1) | ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)) )),
% 8.42/2.13    inference(cnf_transformation,[],[f26392])).
% 8.42/2.13  tff(f26392,plain,(
% 8.42/2.13    ! [X0 : int] : (aa(real,real,uminus_uminus(real),one_one(real)) = iG143(X0) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0)) & ! [X1 : int] : (one_one(real) = iG143(X1) | ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1))),
% 8.42/2.13    inference(ennf_transformation,[],[f21023])).
% 8.42/2.13  tff(f21023,plain,(
% 8.42/2.13    ! [X0 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) => aa(real,real,uminus_uminus(real),one_one(real)) = iG143(X0)) & ! [X1 : int] : (dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1) => one_one(real) = iG143(X1))),
% 8.42/2.13    inference(flattening,[],[f21022])).
% 8.42/2.13  tff(f21022,plain,(
% 8.42/2.13    ! [X0 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) => aa(real,real,uminus_uminus(real),one_one(real)) = iG143(X0)) & ! [X1 : int] : (dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1) => one_one(real) = iG143(X1))),
% 8.42/2.13    inference(rectify,[],[f10007])).
% 8.42/2.13  tff(f10007,plain,(
% 8.42/2.13    ! [X0 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) => aa(real,real,uminus_uminus(real),one_one(real)) = iG143(X0)) & ! [X0 : int] : (dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) => one_one(real) = iG143(X0))),
% 8.42/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG143])])).
% 8.42/2.13  tff(f45578,plain,(
% 8.42/2.13    ( ! [X0 : int] : (aa(real,real,uminus_uminus(real),one_one(real)) = iG143(X0) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0)) )),
% 8.42/2.13    inference(cnf_transformation,[],[f26392])).
% 8.42/2.13  tff(f45575,plain,(
% 8.42/2.13    ( ! [X0 : nat] : (($true = bG144(X0)) | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0)) )),
% 8.42/2.13    inference(cnf_transformation,[],[f36478])).
% 8.42/2.13  tff(f36478,plain,(
% 8.42/2.13    ! [X0 : nat] : ((dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) | ($true != bG144(X0))) & (($true = bG144(X0)) | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0)))),
% 8.42/2.13    inference(nnf_transformation,[],[f10010])).
% 8.42/2.13  tff(f10010,plain,(
% 8.42/2.13    ! [X0 : nat] : (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) <=> ($true = bG144(X0)))),
% 8.42/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG144])])).
% 8.42/2.13  tff(f45576,plain,(
% 8.42/2.13    ( ! [X0 : nat] : (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) | ($true != bG144(X0))) )),
% 8.42/2.13    inference(cnf_transformation,[],[f36478])).
% 8.42/2.13  tff(f45573,plain,(
% 8.42/2.13    ( ! [X0 : nat] : (($true = bG145(X0)) | dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0)) )),
% 8.42/2.13    inference(cnf_transformation,[],[f36477])).
% 8.42/2.13  tff(f36477,plain,(
% 8.42/2.13    ! [X0 : nat] : ((~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) | ($true != bG145(X0))) & (($true = bG145(X0)) | dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0)))),
% 8.42/2.13    inference(nnf_transformation,[],[f10011])).
% 8.42/2.13  tff(f10011,plain,(
% 8.42/2.13    ! [X0 : nat] : (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) <=> ($true = bG145(X0)))),
% 8.42/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG145])])).
% 8.42/2.13  tff(f45574,plain,(
% 8.42/2.13    ( ! [X0 : nat] : (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) | ($true != bG145(X0))) )),
% 8.42/2.13    inference(cnf_transformation,[],[f36477])).
% 8.42/2.13  tff(f45571,plain,(
% 8.42/2.13    ( ! [X0 : nat] : (($true = bG146(X0)) | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0)) )),
% 8.42/2.13    inference(cnf_transformation,[],[f36476])).
% 8.42/2.13  tff(f36476,plain,(
% 8.42/2.13    ! [X0 : nat] : ((dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) | ($true != bG146(X0))) & (($true = bG146(X0)) | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0)))),
% 8.42/2.13    inference(nnf_transformation,[],[f10014])).
% 8.42/2.13  tff(f10014,plain,(
% 8.42/2.13    ! [X0 : nat] : (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) <=> ($true = bG146(X0)))),
% 8.42/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG146])])).
% 8.42/2.13  tff(f45572,plain,(
% 8.42/2.13    ( ! [X0 : nat] : (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) | ($true != bG146(X0))) )),
% 8.42/2.13    inference(cnf_transformation,[],[f36476])).
% 8.42/2.13  tff(f45569,plain,(
% 8.42/2.13    ( ! [X0 : nat] : (($true = bG147(X0)) | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0)) )),
% 8.42/2.13    inference(cnf_transformation,[],[f36475])).
% 8.42/2.13  tff(f36475,plain,(
% 8.42/2.13    ! [X0 : nat] : ((dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) | ($true != bG147(X0))) & (($true = bG147(X0)) | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0)))),
% 8.42/2.13    inference(nnf_transformation,[],[f10017])).
% 8.42/2.13  tff(f10017,plain,(
% 8.42/2.13    ! [X0 : nat] : (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) <=> ($true = bG147(X0)))),
% 8.42/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG147])])).
% 8.42/2.13  tff(f45570,plain,(
% 8.42/2.13    ( ! [X0 : nat] : (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) | ($true != bG147(X0))) )),
% 8.42/2.13    inference(cnf_transformation,[],[f36475])).
% 8.42/2.13  tff(f45567,plain,(
% 8.42/2.13    ( ! [X0 : nat] : (($true = bG148(X0)) | dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0)) )),
% 8.42/2.13    inference(cnf_transformation,[],[f36474])).
% 8.42/2.13  tff(f36474,plain,(
% 8.42/2.13    ! [X0 : nat] : ((~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) | ($true != bG148(X0))) & (($true = bG148(X0)) | dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f10018])).
% 8.48/2.13  tff(f10018,plain,(
% 8.48/2.13    ! [X0 : nat] : (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) <=> ($true = bG148(X0)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG148])])).
% 8.48/2.13  tff(f45568,plain,(
% 8.48/2.13    ( ! [X0 : nat] : (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) | ($true != bG148(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36474])).
% 8.48/2.13  tff(f45565,plain,(
% 8.48/2.13    ( ! [X0 : nat] : (($true = bG149(X0)) | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36473])).
% 8.48/2.13  tff(f36473,plain,(
% 8.48/2.13    ! [X0 : nat] : ((dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) | ($true != bG149(X0))) & (($true = bG149(X0)) | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f10021])).
% 8.48/2.13  tff(f10021,plain,(
% 8.48/2.13    ! [X0 : nat] : (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) <=> ($true = bG149(X0)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG149])])).
% 8.48/2.13  tff(f45566,plain,(
% 8.48/2.13    ( ! [X0 : nat] : (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) | ($true != bG149(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36473])).
% 8.48/2.13  tff(f61649,plain,(
% 8.48/2.13    aa(set(real),set(real),insert(real,zero_zero(real)),bot_bot(set(real))) = iG150(zero_zero(real))),
% 8.48/2.13    inference(equality_resolution,[],[f45563])).
% 8.48/2.13  tff(f45563,plain,(
% 8.48/2.13    ( ! [X1 : real] : (aa(set(real),set(real),insert(real,zero_zero(real)),bot_bot(set(real))) = iG150(X1) | zero_zero(real) != X1) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26391])).
% 8.48/2.13  tff(f26391,plain,(
% 8.48/2.13    ! [X0 : real] : (top_top(set(real)) = iG150(X0) | zero_zero(real) = X0) & ! [X1 : real] : (aa(set(real),set(real),insert(real,zero_zero(real)),bot_bot(set(real))) = iG150(X1) | zero_zero(real) != X1)),
% 8.48/2.13    inference(ennf_transformation,[],[f21021])).
% 8.48/2.13  tff(f21021,plain,(
% 8.48/2.13    ! [X0 : real] : (zero_zero(real) != X0 => top_top(set(real)) = iG150(X0)) & ! [X1 : real] : (zero_zero(real) = X1 => aa(set(real),set(real),insert(real,zero_zero(real)),bot_bot(set(real))) = iG150(X1))),
% 8.48/2.13    inference(flattening,[],[f21020])).
% 8.48/2.13  tff(f21020,plain,(
% 8.48/2.13    ! [X0 : real] : (~zero_zero(real) = X0 => top_top(set(real)) = iG150(X0)) & ! [X1 : real] : (zero_zero(real) = X1 => aa(set(real),set(real),insert(real,zero_zero(real)),bot_bot(set(real))) = iG150(X1))),
% 8.48/2.13    inference(rectify,[],[f10024])).
% 8.48/2.13  tff(f10024,plain,(
% 8.48/2.13    ! [X0 : real] : (~zero_zero(real) = X0 => top_top(set(real)) = iG150(X0)) & ! [X0 : real] : (zero_zero(real) = X0 => aa(set(real),set(real),insert(real,zero_zero(real)),bot_bot(set(real))) = iG150(X0))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG150])])).
% 8.48/2.13  tff(f45564,plain,(
% 8.48/2.13    ( ! [X0 : real] : (top_top(set(real)) = iG150(X0) | zero_zero(real) = X0) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26391])).
% 8.48/2.13  tff(f61648,plain,(
% 8.48/2.13    ($true = bG151($true))),
% 8.48/2.13    inference(equality_resolution,[],[f45561])).
% 8.48/2.13  tff(f45561,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = bG151(X0)) | ($true != X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36472])).
% 8.48/2.13  tff(f36472,plain,(
% 8.48/2.13    ! [X0 : $o] : ((($true = X0) | ($true != bG151(X0))) & (($true = bG151(X0)) | ($true != X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f10033])).
% 8.48/2.13  tff(f10033,plain,(
% 8.48/2.13    ! [X0 : $o] : (($true = X0) <=> ($true = bG151(X0)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG151])])).
% 8.48/2.13  tff(f45562,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = X0) | ($true != bG151(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36472])).
% 8.48/2.13  tff(f61647,plain,(
% 8.48/2.13    ($true = bG152($true))),
% 8.48/2.13    inference(equality_resolution,[],[f45559])).
% 8.48/2.13  tff(f45559,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = bG152(X0)) | ($true != X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36471])).
% 8.48/2.13  tff(f36471,plain,(
% 8.48/2.13    ! [X0 : $o] : ((($true = X0) | ($true != bG152(X0))) & (($true = bG152(X0)) | ($true != X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f10036])).
% 8.48/2.13  tff(f10036,plain,(
% 8.48/2.13    ! [X0 : $o] : (($true = X0) <=> ($true = bG152(X0)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG152])])).
% 8.48/2.13  tff(f45560,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = X0) | ($true != bG152(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36471])).
% 8.48/2.13  tff(f61646,plain,(
% 8.48/2.13    ($true = bG153($true))),
% 8.48/2.13    inference(equality_resolution,[],[f45557])).
% 8.48/2.13  tff(f45557,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = bG153(X0)) | ($true != X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36470])).
% 8.48/2.13  tff(f36470,plain,(
% 8.48/2.13    ! [X0 : $o] : ((($true = X0) | ($true != bG153(X0))) & (($true = bG153(X0)) | ($true != X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f21019])).
% 8.48/2.13  tff(f21019,plain,(
% 8.48/2.13    ! [X0 : $o] : (($true = X0) <=> ($true = bG153(X0)))),
% 8.48/2.13    inference(rectify,[],[f10041])).
% 8.48/2.13  tff(f10041,plain,(
% 8.48/2.13    ! [X1 : $o] : (($true = X1) <=> ($true = bG153(X1)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG153])])).
% 8.48/2.13  tff(f45558,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = X0) | ($true != bG153(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36470])).
% 8.48/2.13  tff(f61645,plain,(
% 8.48/2.13    ($true = bG154($true))),
% 8.48/2.13    inference(equality_resolution,[],[f45555])).
% 8.48/2.13  tff(f45555,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = bG154(X0)) | ($true != X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36469])).
% 8.48/2.13  tff(f36469,plain,(
% 8.48/2.13    ! [X0 : $o] : ((($true = X0) | ($true != bG154(X0))) & (($true = bG154(X0)) | ($true != X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f21018])).
% 8.48/2.13  tff(f21018,plain,(
% 8.48/2.13    ! [X0 : $o] : (($true = X0) <=> ($true = bG154(X0)))),
% 8.48/2.13    inference(rectify,[],[f10042])).
% 8.48/2.13  tff(f10042,plain,(
% 8.48/2.13    ! [X2 : $o] : (($true = X2) <=> ($true = bG154(X2)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG154])])).
% 8.48/2.13  tff(f45556,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = X0) | ($true != bG154(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36469])).
% 8.48/2.13  tff(f61644,plain,(
% 8.48/2.13    ($true = bG155($true))),
% 8.48/2.13    inference(equality_resolution,[],[f45553])).
% 8.48/2.13  tff(f45553,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = bG155(X0)) | ($true != X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36468])).
% 8.48/2.13  tff(f36468,plain,(
% 8.48/2.13    ! [X0 : $o] : ((($true = X0) | ($true != bG155(X0))) & (($true = bG155(X0)) | ($true != X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f21017])).
% 8.48/2.13  tff(f21017,plain,(
% 8.48/2.13    ! [X0 : $o] : (($true = X0) <=> ($true = bG155(X0)))),
% 8.48/2.13    inference(rectify,[],[f10045])).
% 8.48/2.13  tff(f10045,plain,(
% 8.48/2.13    ! [X1 : $o] : (($true = X1) <=> ($true = bG155(X1)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG155])])).
% 8.48/2.13  tff(f45554,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = X0) | ($true != bG155(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36468])).
% 8.48/2.13  tff(f61643,plain,(
% 8.48/2.13    ($true = bG156($true))),
% 8.48/2.13    inference(equality_resolution,[],[f45551])).
% 8.48/2.13  tff(f45551,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = bG156(X0)) | ($true != X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36467])).
% 8.48/2.13  tff(f36467,plain,(
% 8.48/2.13    ! [X0 : $o] : ((($true = X0) | ($true != bG156(X0))) & (($true = bG156(X0)) | ($true != X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f21016])).
% 8.48/2.13  tff(f21016,plain,(
% 8.48/2.13    ! [X0 : $o] : (($true = X0) <=> ($true = bG156(X0)))),
% 8.48/2.13    inference(rectify,[],[f10046])).
% 8.48/2.13  tff(f10046,plain,(
% 8.48/2.13    ! [X1 : $o] : (($true = X1) <=> ($true = bG156(X1)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG156])])).
% 8.48/2.13  tff(f45552,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = X0) | ($true != bG156(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36467])).
% 8.48/2.13  tff(f61642,plain,(
% 8.48/2.13    ($true = bG157($true))),
% 8.48/2.13    inference(equality_resolution,[],[f45549])).
% 8.48/2.13  tff(f45549,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = bG157(X0)) | ($true != X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36466])).
% 8.48/2.13  tff(f36466,plain,(
% 8.48/2.13    ! [X0 : $o] : ((($true = X0) | ($true != bG157(X0))) & (($true = bG157(X0)) | ($true != X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f21015])).
% 8.48/2.13  tff(f21015,plain,(
% 8.48/2.13    ! [X0 : $o] : (($true = X0) <=> ($true = bG157(X0)))),
% 8.48/2.13    inference(rectify,[],[f10047])).
% 8.48/2.13  tff(f10047,plain,(
% 8.48/2.13    ! [X2 : $o] : (($true = X2) <=> ($true = bG157(X2)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG157])])).
% 8.48/2.13  tff(f45550,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = X0) | ($true != bG157(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36466])).
% 8.48/2.13  tff(f61641,plain,(
% 8.48/2.13    ($true = bG158($true))),
% 8.48/2.13    inference(equality_resolution,[],[f45547])).
% 8.48/2.13  tff(f45547,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = bG158(X0)) | ($true != X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36465])).
% 8.48/2.13  tff(f36465,plain,(
% 8.48/2.13    ! [X0 : $o] : ((($true = X0) | ($true != bG158(X0))) & (($true = bG158(X0)) | ($true != X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f21014])).
% 8.48/2.13  tff(f21014,plain,(
% 8.48/2.13    ! [X0 : $o] : (($true = X0) <=> ($true = bG158(X0)))),
% 8.48/2.13    inference(rectify,[],[f10048])).
% 8.48/2.13  tff(f10048,plain,(
% 8.48/2.13    ! [X2 : $o] : (($true = X2) <=> ($true = bG158(X2)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG158])])).
% 8.48/2.13  tff(f45548,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = X0) | ($true != bG158(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36465])).
% 8.48/2.13  tff(f61640,plain,(
% 8.48/2.13    ( ! [X2 : $tType] : (zero_zero(X2) = iG159(X2,zero_zero(X2))) )),
% 8.48/2.13    inference(equality_resolution,[],[f45545])).
% 8.48/2.13  tff(f45545,plain,(
% 8.48/2.13    ( ! [X2 : $tType,X3 : X2] : (zero_zero(X2) = iG159(X2,X3) | zero_zero(X2) != X3) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26390])).
% 8.48/2.13  tff(f26390,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0] : (one_one(X0) = iG159(X0,X1) | zero_zero(X0) = X1) & ! [X2 : $tType,X3 : X2] : (zero_zero(X2) = iG159(X2,X3) | zero_zero(X2) != X3)),
% 8.48/2.13    inference(ennf_transformation,[],[f21013])).
% 8.48/2.13  tff(f21013,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0] : (zero_zero(X0) != X1 => one_one(X0) = iG159(X0,X1)) & ! [X2 : $tType,X3 : X2] : (zero_zero(X2) = X3 => zero_zero(X2) = iG159(X2,X3))),
% 8.48/2.13    inference(flattening,[],[f21012])).
% 8.48/2.13  tff(f21012,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0] : (~zero_zero(X0) = X1 => one_one(X0) = iG159(X0,X1)) & ! [X2 : $tType,X3 : X2] : (zero_zero(X2) = X3 => zero_zero(X2) = iG159(X2,X3))),
% 8.48/2.13    inference(rectify,[],[f10065])).
% 8.48/2.13  tff(f10065,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0] : (~zero_zero(X0) = X1 => one_one(X0) = iG159(X0,X1)) & ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = X1 => zero_zero(X0) = iG159(X0,X1))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG159])])).
% 8.48/2.13  tff(f45546,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X1 : X0] : (one_one(X0) = iG159(X0,X1) | zero_zero(X0) = X1) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26390])).
% 8.48/2.13  tff(f61639,plain,(
% 8.48/2.13    ( ! [X3 : $tType,X5 : X3] : (zero_zero(X3) = iG160(X3,zero_zero(X3),X5)) )),
% 8.48/2.13    inference(equality_resolution,[],[f45543])).
% 8.48/2.13  tff(f45543,plain,(
% 8.48/2.13    ( ! [X3 : $tType,X4 : X3,X5 : X3] : (zero_zero(X3) = iG160(X3,X4,X5) | zero_zero(X3) != X4) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26389])).
% 8.48/2.13  tff(f26389,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0] : (exp(X0,aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X2),aa(X0,X0,ln_ln(X0),X1))) = iG160(X0,X1,X2) | zero_zero(X0) = X1) & ! [X3 : $tType,X4 : X3,X5 : X3] : (zero_zero(X3) = iG160(X3,X4,X5) | zero_zero(X3) != X4)),
% 8.48/2.13    inference(ennf_transformation,[],[f21011])).
% 8.48/2.13  tff(f21011,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0] : (zero_zero(X0) != X1 => exp(X0,aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X2),aa(X0,X0,ln_ln(X0),X1))) = iG160(X0,X1,X2)) & ! [X3 : $tType,X4 : X3,X5 : X3] : (zero_zero(X3) = X4 => zero_zero(X3) = iG160(X3,X4,X5))),
% 8.48/2.13    inference(flattening,[],[f21010])).
% 8.48/2.13  tff(f21010,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0] : (~zero_zero(X0) = X1 => exp(X0,aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X2),aa(X0,X0,ln_ln(X0),X1))) = iG160(X0,X1,X2)) & ! [X3 : $tType,X4 : X3,X5 : X3] : (zero_zero(X3) = X4 => zero_zero(X3) = iG160(X3,X4,X5))),
% 8.48/2.13    inference(rectify,[],[f10068])).
% 8.48/2.13  tff(f10068,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0] : (~zero_zero(X0) = X1 => exp(X0,aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X2),aa(X0,X0,ln_ln(X0),X1))) = iG160(X0,X1,X2)) & ! [X0 : $tType,X1 : X0,X2 : X0] : (zero_zero(X0) = X1 => zero_zero(X0) = iG160(X0,X1,X2))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG160])])).
% 8.48/2.13  tff(f45544,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : X0,X1 : X0] : (exp(X0,aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X2),aa(X0,X0,ln_ln(X0),X1))) = iG160(X0,X1,X2) | zero_zero(X0) = X1) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26389])).
% 8.48/2.13  tff(f61638,plain,(
% 8.48/2.13    ( ! [X3 : $tType,X5 : X3] : (aa(X3,X3,uminus_uminus(X3),modulo_modulo(X3,X5,aa(num,X3,numeral_numeral(X3),aa(num,num,bit0,one2)))) = iG161(X3,zero_zero(nat),X5)) )),
% 8.48/2.13    inference(equality_resolution,[],[f45541])).
% 8.48/2.13  tff(f45541,plain,(
% 8.48/2.13    ( ! [X3 : $tType,X4 : nat,X5 : X3] : (aa(X3,X3,uminus_uminus(X3),modulo_modulo(X3,X5,aa(num,X3,numeral_numeral(X3),aa(num,num,bit0,one2)))) = iG161(X3,X4,X5) | zero_zero(nat) != X4) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26388])).
% 8.48/2.13  tff(f26388,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),modulo_modulo(X0,X2,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)))),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))),aa(X0,X0,bit_ri4674362597316999326ke_bit(X0,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat))),divide_divide(X0,X2,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)))))) = iG161(X0,X1,X2) | zero_zero(nat) = X1) & ! [X3 : $tType,X4 : nat,X5 : X3] : (aa(X3,X3,uminus_uminus(X3),modulo_modulo(X3,X5,aa(num,X3,numeral_numeral(X3),aa(num,num,bit0,one2)))) = iG161(X3,X4,X5) | zero_zero(nat) != X4)),
% 8.48/2.13    inference(ennf_transformation,[],[f21009])).
% 8.48/2.13  tff(f21009,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : X0] : (zero_zero(nat) != X1 => aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),modulo_modulo(X0,X2,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)))),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))),aa(X0,X0,bit_ri4674362597316999326ke_bit(X0,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat))),divide_divide(X0,X2,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)))))) = iG161(X0,X1,X2)) & ! [X3 : $tType,X4 : nat,X5 : X3] : (zero_zero(nat) = X4 => aa(X3,X3,uminus_uminus(X3),modulo_modulo(X3,X5,aa(num,X3,numeral_numeral(X3),aa(num,num,bit0,one2)))) = iG161(X3,X4,X5))),
% 8.48/2.13    inference(flattening,[],[f21008])).
% 8.48/2.13  tff(f21008,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : X0] : (~zero_zero(nat) = X1 => aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),modulo_modulo(X0,X2,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)))),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))),aa(X0,X0,bit_ri4674362597316999326ke_bit(X0,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat))),divide_divide(X0,X2,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)))))) = iG161(X0,X1,X2)) & ! [X3 : $tType,X4 : nat,X5 : X3] : (zero_zero(nat) = X4 => aa(X3,X3,uminus_uminus(X3),modulo_modulo(X3,X5,aa(num,X3,numeral_numeral(X3),aa(num,num,bit0,one2)))) = iG161(X3,X4,X5))),
% 8.48/2.13    inference(rectify,[],[f10355])).
% 8.48/2.13  tff(f10355,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : X0] : (~zero_zero(nat) = X1 => aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),modulo_modulo(X0,X2,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)))),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))),aa(X0,X0,bit_ri4674362597316999326ke_bit(X0,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat))),divide_divide(X0,X2,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)))))) = iG161(X0,X1,X2)) & ! [X0 : $tType,X1 : nat,X2 : X0] : (zero_zero(nat) = X1 => aa(X0,X0,uminus_uminus(X0),modulo_modulo(X0,X2,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)))) = iG161(X0,X1,X2))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG161])])).
% 8.48/2.13  tff(f45542,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : X0,X1 : nat] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),modulo_modulo(X0,X2,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)))),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))),aa(X0,X0,bit_ri4674362597316999326ke_bit(X0,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat))),divide_divide(X0,X2,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)))))) = iG161(X0,X1,X2) | zero_zero(nat) = X1) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26388])).
% 8.48/2.13  tff(f45540,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : X0,X1 : nat] : (aa(X0,X0,bit_se2584673776208193580ke_bit(X0,aa(nat,nat,suc,X1)),X2) = lG162(X0,X1,X2)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f10358])).
% 8.48/2.13  tff(f10358,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : X0] : aa(X0,X0,bit_se2584673776208193580ke_bit(X0,aa(nat,nat,suc,X1)),X2) = lG162(X0,X1,X2)),
% 8.48/2.13    introduced(fool_let_definition,[new_symbols(definition,[lG162])])).
% 8.48/2.13  tff(f45538,plain,(
% 8.48/2.13    ( ! [X3 : $tType,X4 : nat,X5 : X3] : (aa(X3,X3,aa(X3,fun(X3,X3),plus_plus(X3),lG162(X3,X4,X5)),bit_se4730199178511100633sh_bit(X3,aa(nat,nat,suc,X4),aa(X3,X3,uminus_uminus(X3),one_one(X3)))) = iG163(X3,X4,X5) | ($true != aa(nat,$o,bit_se5641148757651400278ts_bit(X3,lG162(X3,X4,X5)),X4))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26387])).
% 8.48/2.13  tff(f26387,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : X0] : (lG162(X0,X1,X2) = iG163(X0,X1,X2) | ($true = aa(nat,$o,bit_se5641148757651400278ts_bit(X0,lG162(X0,X1,X2)),X1))) & ! [X3 : $tType,X4 : nat,X5 : X3] : (aa(X3,X3,aa(X3,fun(X3,X3),plus_plus(X3),lG162(X3,X4,X5)),bit_se4730199178511100633sh_bit(X3,aa(nat,nat,suc,X4),aa(X3,X3,uminus_uminus(X3),one_one(X3)))) = iG163(X3,X4,X5) | ($true != aa(nat,$o,bit_se5641148757651400278ts_bit(X3,lG162(X3,X4,X5)),X4)))),
% 8.48/2.13    inference(ennf_transformation,[],[f21007])).
% 8.48/2.13  tff(f21007,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : X0] : (($true != aa(nat,$o,bit_se5641148757651400278ts_bit(X0,lG162(X0,X1,X2)),X1)) => lG162(X0,X1,X2) = iG163(X0,X1,X2)) & ! [X3 : $tType,X4 : nat,X5 : X3] : (($true = aa(nat,$o,bit_se5641148757651400278ts_bit(X3,lG162(X3,X4,X5)),X4)) => aa(X3,X3,aa(X3,fun(X3,X3),plus_plus(X3),lG162(X3,X4,X5)),bit_se4730199178511100633sh_bit(X3,aa(nat,nat,suc,X4),aa(X3,X3,uminus_uminus(X3),one_one(X3)))) = iG163(X3,X4,X5))),
% 8.48/2.13    inference(flattening,[],[f21006])).
% 8.48/2.13  tff(f21006,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : X0] : (~($true = aa(nat,$o,bit_se5641148757651400278ts_bit(X0,lG162(X0,X1,X2)),X1)) => lG162(X0,X1,X2) = iG163(X0,X1,X2)) & ! [X3 : $tType,X4 : nat,X5 : X3] : (($true = aa(nat,$o,bit_se5641148757651400278ts_bit(X3,lG162(X3,X4,X5)),X4)) => aa(X3,X3,aa(X3,fun(X3,X3),plus_plus(X3),lG162(X3,X4,X5)),bit_se4730199178511100633sh_bit(X3,aa(nat,nat,suc,X4),aa(X3,X3,uminus_uminus(X3),one_one(X3)))) = iG163(X3,X4,X5))),
% 8.48/2.13    inference(rectify,[],[f10359])).
% 8.48/2.13  tff(f10359,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : X0] : (~($true = aa(nat,$o,bit_se5641148757651400278ts_bit(X0,lG162(X0,X1,X2)),X1)) => lG162(X0,X1,X2) = iG163(X0,X1,X2)) & ! [X0 : $tType,X1 : nat,X2 : X0] : (($true = aa(nat,$o,bit_se5641148757651400278ts_bit(X0,lG162(X0,X1,X2)),X1)) => aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),lG162(X0,X1,X2)),bit_se4730199178511100633sh_bit(X0,aa(nat,nat,suc,X1),aa(X0,X0,uminus_uminus(X0),one_one(X0)))) = iG163(X0,X1,X2))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG163])])).
% 8.48/2.13  tff(f45539,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : X0,X1 : nat] : (lG162(X0,X1,X2) = iG163(X0,X1,X2) | ($true = aa(nat,$o,bit_se5641148757651400278ts_bit(X0,lG162(X0,X1,X2)),X1))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26387])).
% 8.48/2.13  tff(f45536,plain,(
% 8.48/2.13    ( ! [X3 : $tType,X4 : nat,X5 : nat] : (bit_se2584673776208193580ke_bit(X3,X5) = iG164(X3,X4,X5) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X5),X4))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26386])).
% 8.48/2.13  tff(f26386,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat] : (bit_ri4674362597316999326ke_bit(X0,X1) = iG164(X0,X1,X2) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X2),X1))) & ! [X3 : $tType,X4 : nat,X5 : nat] : (bit_se2584673776208193580ke_bit(X3,X5) = iG164(X3,X4,X5) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X5),X4)))),
% 8.48/2.13    inference(ennf_transformation,[],[f21005])).
% 8.48/2.13  tff(f21005,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X2),X1)) => bit_ri4674362597316999326ke_bit(X0,X1) = iG164(X0,X1,X2)) & ! [X3 : $tType,X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X5),X4)) => bit_se2584673776208193580ke_bit(X3,X5) = iG164(X3,X4,X5))),
% 8.48/2.13    inference(flattening,[],[f21004])).
% 8.48/2.13  tff(f21004,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X2),X1)) => bit_ri4674362597316999326ke_bit(X0,X1) = iG164(X0,X1,X2)) & ! [X3 : $tType,X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X5),X4)) => bit_se2584673776208193580ke_bit(X3,X5) = iG164(X3,X4,X5))),
% 8.48/2.13    inference(rectify,[],[f10372])).
% 8.48/2.13  tff(f10372,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X2),X1)) => bit_ri4674362597316999326ke_bit(X0,X1) = iG164(X0,X1,X2)) & ! [X0 : $tType,X1 : nat,X2 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X2),X1)) => bit_se2584673776208193580ke_bit(X0,X2) = iG164(X0,X1,X2))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG164])])).
% 8.48/2.13  tff(f45537,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : nat,X1 : nat] : (bit_ri4674362597316999326ke_bit(X0,X1) = iG164(X0,X1,X2) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X2),X1))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26386])).
% 8.48/2.13  tff(f45534,plain,(
% 8.48/2.13    ( ! [X3 : $tType,X2 : X3] : (archimedean_ceiling(X3,X2) = iG165(X3,X2) | ($true != aa(X3,$o,aa(X3,fun(X3,$o),ord_less_eq(X3),divide_divide(X3,one_one(X3),aa(num,X3,numeral_numeral(X3),aa(num,num,bit0,one2)))),archimedean_frac(X3,X2)))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26385])).
% 8.48/2.13  tff(f26385,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType] : (archim6421214686448440834_floor(X1,X0) = iG165(X1,X0) | ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less_eq(X1),divide_divide(X1,one_one(X1),aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)))),archimedean_frac(X1,X0)))) & ! [X2 : X3,X3 : $tType] : (archimedean_ceiling(X3,X2) = iG165(X3,X2) | ($true != aa(X3,$o,aa(X3,fun(X3,$o),ord_less_eq(X3),divide_divide(X3,one_one(X3),aa(num,X3,numeral_numeral(X3),aa(num,num,bit0,one2)))),archimedean_frac(X3,X2))))),
% 8.48/2.13    inference(ennf_transformation,[],[f21003])).
% 8.48/2.13  tff(f21003,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType] : (($true != aa(X1,$o,aa(X1,fun(X1,$o),ord_less_eq(X1),divide_divide(X1,one_one(X1),aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)))),archimedean_frac(X1,X0))) => archim6421214686448440834_floor(X1,X0) = iG165(X1,X0)) & ! [X2 : X3,X3 : $tType] : (($true = aa(X3,$o,aa(X3,fun(X3,$o),ord_less_eq(X3),divide_divide(X3,one_one(X3),aa(num,X3,numeral_numeral(X3),aa(num,num,bit0,one2)))),archimedean_frac(X3,X2))) => archimedean_ceiling(X3,X2) = iG165(X3,X2))),
% 8.48/2.13    inference(flattening,[],[f21002])).
% 8.48/2.13  tff(f21002,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType] : (~($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less_eq(X1),divide_divide(X1,one_one(X1),aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)))),archimedean_frac(X1,X0))) => archim6421214686448440834_floor(X1,X0) = iG165(X1,X0)) & ! [X2 : X3,X3 : $tType] : (($true = aa(X3,$o,aa(X3,fun(X3,$o),ord_less_eq(X3),divide_divide(X3,one_one(X3),aa(num,X3,numeral_numeral(X3),aa(num,num,bit0,one2)))),archimedean_frac(X3,X2))) => archimedean_ceiling(X3,X2) = iG165(X3,X2))),
% 8.48/2.13    inference(rectify,[],[f10377])).
% 8.48/2.13  tff(f10377,plain,(
% 8.48/2.13    ! [X1 : X0,X0 : $tType] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),divide_divide(X0,one_one(X0),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)))),archimedean_frac(X0,X1))) => archim6421214686448440834_floor(X0,X1) = iG165(X0,X1)) & ! [X1 : X0,X0 : $tType] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),divide_divide(X0,one_one(X0),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)))),archimedean_frac(X0,X1))) => archimedean_ceiling(X0,X1) = iG165(X0,X1))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG165])])).
% 8.48/2.13  tff(f45535,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X0 : X1] : (archim6421214686448440834_floor(X1,X0) = iG165(X1,X0) | ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less_eq(X1),divide_divide(X1,one_one(X1),aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)))),archimedean_frac(X1,X0)))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26385])).
% 8.48/2.13  tff(f45532,plain,(
% 8.48/2.13    ( ! [X3 : $tType,X2 : X3] : (archim6421214686448440834_floor(X3,X2) = iG166(X3,X2) | ring_1_of_int(X3,archim6421214686448440834_floor(X3,X2)) != X2) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26384])).
% 8.48/2.13  tff(f26384,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),archim6421214686448440834_floor(X1,X0)),one_one(int)) = iG166(X1,X0) | ring_1_of_int(X1,archim6421214686448440834_floor(X1,X0)) = X0) & ! [X2 : X3,X3 : $tType] : (archim6421214686448440834_floor(X3,X2) = iG166(X3,X2) | ring_1_of_int(X3,archim6421214686448440834_floor(X3,X2)) != X2)),
% 8.48/2.13    inference(ennf_transformation,[],[f21001])).
% 8.48/2.13  tff(f21001,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType] : (ring_1_of_int(X1,archim6421214686448440834_floor(X1,X0)) != X0 => aa(int,int,aa(int,fun(int,int),plus_plus(int),archim6421214686448440834_floor(X1,X0)),one_one(int)) = iG166(X1,X0)) & ! [X2 : X3,X3 : $tType] : (ring_1_of_int(X3,archim6421214686448440834_floor(X3,X2)) = X2 => archim6421214686448440834_floor(X3,X2) = iG166(X3,X2))),
% 8.48/2.13    inference(flattening,[],[f21000])).
% 8.48/2.13  tff(f21000,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType] : (~ring_1_of_int(X1,archim6421214686448440834_floor(X1,X0)) = X0 => aa(int,int,aa(int,fun(int,int),plus_plus(int),archim6421214686448440834_floor(X1,X0)),one_one(int)) = iG166(X1,X0)) & ! [X2 : X3,X3 : $tType] : (ring_1_of_int(X3,archim6421214686448440834_floor(X3,X2)) = X2 => archim6421214686448440834_floor(X3,X2) = iG166(X3,X2))),
% 8.48/2.13    inference(rectify,[],[f10380])).
% 8.48/2.13  tff(f10380,plain,(
% 8.48/2.13    ! [X1 : X0,X0 : $tType] : (~ring_1_of_int(X0,archim6421214686448440834_floor(X0,X1)) = X1 => aa(int,int,aa(int,fun(int,int),plus_plus(int),archim6421214686448440834_floor(X0,X1)),one_one(int)) = iG166(X0,X1)) & ! [X1 : X0,X0 : $tType] : (ring_1_of_int(X0,archim6421214686448440834_floor(X0,X1)) = X1 => archim6421214686448440834_floor(X0,X1) = iG166(X0,X1))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG166])])).
% 8.48/2.13  tff(f45533,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X0 : X1] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),archim6421214686448440834_floor(X1,X0)),one_one(int)) = iG166(X1,X0) | ring_1_of_int(X1,archim6421214686448440834_floor(X1,X0)) = X0) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26384])).
% 8.48/2.13  tff(f45530,plain,(
% 8.48/2.13    ( ! [X2 : $tType,X3 : X2] : (zero_zero(X2) = iG167(X2,X3) | ~member(X2,X3,ring_1_Ints(X2))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26383])).
% 8.48/2.13  tff(f26383,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),one_one(X0)),archimedean_frac(X0,X1)) = iG167(X0,X1) | member(X0,X1,ring_1_Ints(X0))) & ! [X2 : $tType,X3 : X2] : (zero_zero(X2) = iG167(X2,X3) | ~member(X2,X3,ring_1_Ints(X2)))),
% 8.48/2.13    inference(ennf_transformation,[],[f20999])).
% 8.48/2.13  tff(f20999,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0] : (~member(X0,X1,ring_1_Ints(X0)) => aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),one_one(X0)),archimedean_frac(X0,X1)) = iG167(X0,X1)) & ! [X2 : $tType,X3 : X2] : (member(X2,X3,ring_1_Ints(X2)) => zero_zero(X2) = iG167(X2,X3))),
% 8.48/2.13    inference(flattening,[],[f20998])).
% 8.48/2.13  tff(f20998,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0] : (~member(X0,X1,ring_1_Ints(X0)) => aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),one_one(X0)),archimedean_frac(X0,X1)) = iG167(X0,X1)) & ! [X2 : $tType,X3 : X2] : (member(X2,X3,ring_1_Ints(X2)) => zero_zero(X2) = iG167(X2,X3))),
% 8.48/2.13    inference(rectify,[],[f10383])).
% 8.48/2.13  tff(f10383,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0] : (~member(X0,X1,ring_1_Ints(X0)) => aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),one_one(X0)),archimedean_frac(X0,X1)) = iG167(X0,X1)) & ! [X0 : $tType,X1 : X0] : (member(X0,X1,ring_1_Ints(X0)) => zero_zero(X0) = iG167(X0,X1))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG167])])).
% 8.48/2.13  tff(f45531,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),one_one(X0)),archimedean_frac(X0,X1)) = iG167(X0,X1) | member(X0,X1,ring_1_Ints(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26383])).
% 8.48/2.13  tff(f45528,plain,(
% 8.48/2.13    ( ! [X3 : $tType,X4 : X3,X5 : X3] : (aa(X3,X3,aa(X3,fun(X3,X3),plus_plus(X3),archimedean_frac(X3,X5)),archimedean_frac(X3,X4)) = iG168(X3,X4,X5) | ($true != aa(X3,$o,aa(X3,fun(X3,$o),ord_less(X3),aa(X3,X3,aa(X3,fun(X3,X3),plus_plus(X3),archimedean_frac(X3,X5)),archimedean_frac(X3,X4))),one_one(X3)))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26382])).
% 8.48/2.13  tff(f26382,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),archimedean_frac(X0,X2)),archimedean_frac(X0,X1))),one_one(X0)) = iG168(X0,X1,X2) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),archimedean_frac(X0,X2)),archimedean_frac(X0,X1))),one_one(X0)))) & ! [X3 : $tType,X4 : X3,X5 : X3] : (aa(X3,X3,aa(X3,fun(X3,X3),plus_plus(X3),archimedean_frac(X3,X5)),archimedean_frac(X3,X4)) = iG168(X3,X4,X5) | ($true != aa(X3,$o,aa(X3,fun(X3,$o),ord_less(X3),aa(X3,X3,aa(X3,fun(X3,X3),plus_plus(X3),archimedean_frac(X3,X5)),archimedean_frac(X3,X4))),one_one(X3))))),
% 8.48/2.13    inference(ennf_transformation,[],[f20997])).
% 8.48/2.13  tff(f20997,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),archimedean_frac(X0,X2)),archimedean_frac(X0,X1))),one_one(X0))) => aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),archimedean_frac(X0,X2)),archimedean_frac(X0,X1))),one_one(X0)) = iG168(X0,X1,X2)) & ! [X3 : $tType,X4 : X3,X5 : X3] : (($true = aa(X3,$o,aa(X3,fun(X3,$o),ord_less(X3),aa(X3,X3,aa(X3,fun(X3,X3),plus_plus(X3),archimedean_frac(X3,X5)),archimedean_frac(X3,X4))),one_one(X3))) => aa(X3,X3,aa(X3,fun(X3,X3),plus_plus(X3),archimedean_frac(X3,X5)),archimedean_frac(X3,X4)) = iG168(X3,X4,X5))),
% 8.48/2.13    inference(flattening,[],[f20996])).
% 8.48/2.13  tff(f20996,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),archimedean_frac(X0,X2)),archimedean_frac(X0,X1))),one_one(X0))) => aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),archimedean_frac(X0,X2)),archimedean_frac(X0,X1))),one_one(X0)) = iG168(X0,X1,X2)) & ! [X3 : $tType,X4 : X3,X5 : X3] : (($true = aa(X3,$o,aa(X3,fun(X3,$o),ord_less(X3),aa(X3,X3,aa(X3,fun(X3,X3),plus_plus(X3),archimedean_frac(X3,X5)),archimedean_frac(X3,X4))),one_one(X3))) => aa(X3,X3,aa(X3,fun(X3,X3),plus_plus(X3),archimedean_frac(X3,X5)),archimedean_frac(X3,X4)) = iG168(X3,X4,X5))),
% 8.48/2.13    inference(rectify,[],[f10460])).
% 8.48/2.13  tff(f10460,plain,(
% 8.48/2.13    ! [X0 : $tType,X2 : X0,X1 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),archimedean_frac(X0,X1)),archimedean_frac(X0,X2))),one_one(X0))) => aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),archimedean_frac(X0,X1)),archimedean_frac(X0,X2))),one_one(X0)) = iG168(X0,X2,X1)) & ! [X0 : $tType,X2 : X0,X1 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),archimedean_frac(X0,X1)),archimedean_frac(X0,X2))),one_one(X0))) => aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),archimedean_frac(X0,X1)),archimedean_frac(X0,X2)) = iG168(X0,X2,X1))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG168])])).
% 8.48/2.13  tff(f45529,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : X0,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),archimedean_frac(X0,X2)),archimedean_frac(X0,X1))),one_one(X0)) = iG168(X0,X1,X2) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),archimedean_frac(X0,X2)),archimedean_frac(X0,X1))),one_one(X0)))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26382])).
% 8.48/2.13  tff(f45526,plain,(
% 8.48/2.13    ( ! [X3 : $tType,X4 : X3,X5 : X3] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),archim6421214686448440834_floor(X3,X5)),archim6421214686448440834_floor(X3,X4)) = iG169(X3,X4,X5) | ($true != aa(X3,$o,aa(X3,fun(X3,$o),ord_less(X3),aa(X3,X3,aa(X3,fun(X3,X3),plus_plus(X3),archimedean_frac(X3,X5)),archimedean_frac(X3,X4))),one_one(X3)))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26381])).
% 8.48/2.13  tff(f26381,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),plus_plus(int),archim6421214686448440834_floor(X0,X2)),archim6421214686448440834_floor(X0,X1))),one_one(int)) = iG169(X0,X1,X2) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),archimedean_frac(X0,X2)),archimedean_frac(X0,X1))),one_one(X0)))) & ! [X3 : $tType,X4 : X3,X5 : X3] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),archim6421214686448440834_floor(X3,X5)),archim6421214686448440834_floor(X3,X4)) = iG169(X3,X4,X5) | ($true != aa(X3,$o,aa(X3,fun(X3,$o),ord_less(X3),aa(X3,X3,aa(X3,fun(X3,X3),plus_plus(X3),archimedean_frac(X3,X5)),archimedean_frac(X3,X4))),one_one(X3))))),
% 8.48/2.13    inference(ennf_transformation,[],[f20995])).
% 8.48/2.13  tff(f20995,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),archimedean_frac(X0,X2)),archimedean_frac(X0,X1))),one_one(X0))) => aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),plus_plus(int),archim6421214686448440834_floor(X0,X2)),archim6421214686448440834_floor(X0,X1))),one_one(int)) = iG169(X0,X1,X2)) & ! [X3 : $tType,X4 : X3,X5 : X3] : (($true = aa(X3,$o,aa(X3,fun(X3,$o),ord_less(X3),aa(X3,X3,aa(X3,fun(X3,X3),plus_plus(X3),archimedean_frac(X3,X5)),archimedean_frac(X3,X4))),one_one(X3))) => aa(int,int,aa(int,fun(int,int),plus_plus(int),archim6421214686448440834_floor(X3,X5)),archim6421214686448440834_floor(X3,X4)) = iG169(X3,X4,X5))),
% 8.48/2.13    inference(flattening,[],[f20994])).
% 8.48/2.13  tff(f20994,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),archimedean_frac(X0,X2)),archimedean_frac(X0,X1))),one_one(X0))) => aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),plus_plus(int),archim6421214686448440834_floor(X0,X2)),archim6421214686448440834_floor(X0,X1))),one_one(int)) = iG169(X0,X1,X2)) & ! [X3 : $tType,X4 : X3,X5 : X3] : (($true = aa(X3,$o,aa(X3,fun(X3,$o),ord_less(X3),aa(X3,X3,aa(X3,fun(X3,X3),plus_plus(X3),archimedean_frac(X3,X5)),archimedean_frac(X3,X4))),one_one(X3))) => aa(int,int,aa(int,fun(int,int),plus_plus(int),archim6421214686448440834_floor(X3,X5)),archim6421214686448440834_floor(X3,X4)) = iG169(X3,X4,X5))),
% 8.48/2.13    inference(rectify,[],[f10463])).
% 8.48/2.13  tff(f10463,plain,(
% 8.48/2.13    ! [X0 : $tType,X2 : X0,X1 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),archimedean_frac(X0,X1)),archimedean_frac(X0,X2))),one_one(X0))) => aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),plus_plus(int),archim6421214686448440834_floor(X0,X1)),archim6421214686448440834_floor(X0,X2))),one_one(int)) = iG169(X0,X2,X1)) & ! [X0 : $tType,X2 : X0,X1 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),archimedean_frac(X0,X1)),archimedean_frac(X0,X2))),one_one(X0))) => aa(int,int,aa(int,fun(int,int),plus_plus(int),archim6421214686448440834_floor(X0,X1)),archim6421214686448440834_floor(X0,X2)) = iG169(X0,X2,X1))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG169])])).
% 8.48/2.13  tff(f45527,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : X0,X1 : X0] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),plus_plus(int),archim6421214686448440834_floor(X0,X2)),archim6421214686448440834_floor(X0,X1))),one_one(int)) = iG169(X0,X1,X2) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),archimedean_frac(X0,X2)),archimedean_frac(X0,X1))),one_one(X0)))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26381])).
% 8.48/2.13  tff(f45524,plain,(
% 8.48/2.13    ( ! [X4 : $tType,X6 : X4,X7 : X4,X5 : X4] : (set_or1337092689740270186AtMost(X4,aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),X6),X5),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),X7),X5)) = iG170(X4,X5,X6,X7) | ($true != aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),zero_zero(X4)),X5))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26380])).
% 8.48/2.13  tff(f26380,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : (set_or1337092689740270186AtMost(X0,aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X1),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X2),X1)) = iG170(X0,X1,X2,X3) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X1))) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : (set_or1337092689740270186AtMost(X4,aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),X6),X5),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),X7),X5)) = iG170(X4,X5,X6,X7) | ($true != aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),zero_zero(X4)),X5)))),
% 8.48/2.13    inference(ennf_transformation,[],[f20993])).
% 8.48/2.13  tff(f20993,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X1)) => set_or1337092689740270186AtMost(X0,aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X1),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X2),X1)) = iG170(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : (($true = aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),zero_zero(X4)),X5)) => set_or1337092689740270186AtMost(X4,aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),X6),X5),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),X7),X5)) = iG170(X4,X5,X6,X7))),
% 8.48/2.13    inference(flattening,[],[f20992])).
% 8.48/2.13  tff(f20992,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X1)) => set_or1337092689740270186AtMost(X0,aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X1),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X2),X1)) = iG170(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : (($true = aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),zero_zero(X4)),X5)) => set_or1337092689740270186AtMost(X4,aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),X6),X5),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),X7),X5)) = iG170(X4,X5,X6,X7))),
% 8.48/2.13    inference(rectify,[],[f10724])).
% 8.48/2.13  tff(f10724,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X1)) => set_or1337092689740270186AtMost(X0,aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X1),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X2),X1)) = iG170(X0,X1,X2,X3)) & ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X1)) => set_or1337092689740270186AtMost(X0,aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X2),X1),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X1)) = iG170(X0,X1,X2,X3))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG170])])).
% 8.48/2.13  tff(f45525,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (set_or1337092689740270186AtMost(X0,aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X1),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X2),X1)) = iG170(X0,X1,X2,X3) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X1))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26380])).
% 8.48/2.13  tff(f45522,plain,(
% 8.48/2.13    ( ! [X4 : $tType,X6 : X4,X7 : X4,X5 : X4] : (iG170(X4,X7,X6,X5) = iG171(X4,X5,X6,X7) | ($true != aa(X4,$o,aa(X4,fun(X4,$o),ord_less_eq(X4),X6),X5))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26379])).
% 8.48/2.13  tff(f26379,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : (bot_bot(set(X0)) = iG171(X0,X1,X2,X3) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X1))) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : (iG170(X4,X7,X6,X5) = iG171(X4,X5,X6,X7) | ($true != aa(X4,$o,aa(X4,fun(X4,$o),ord_less_eq(X4),X6),X5)))),
% 8.48/2.13    inference(ennf_transformation,[],[f20991])).
% 8.48/2.13  tff(f20991,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X1)) => bot_bot(set(X0)) = iG171(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : (($true = aa(X4,$o,aa(X4,fun(X4,$o),ord_less_eq(X4),X6),X5)) => iG170(X4,X7,X6,X5) = iG171(X4,X5,X6,X7))),
% 8.48/2.13    inference(flattening,[],[f20990])).
% 8.48/2.13  tff(f20990,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X1)) => bot_bot(set(X0)) = iG171(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : (($true = aa(X4,$o,aa(X4,fun(X4,$o),ord_less_eq(X4),X6),X5)) => iG170(X4,X7,X6,X5) = iG171(X4,X5,X6,X7))),
% 8.48/2.13    inference(rectify,[],[f10725])).
% 8.48/2.13  tff(f10725,plain,(
% 8.48/2.13    ! [X0 : $tType,X3 : X0,X2 : X0,X1 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X3)) => bot_bot(set(X0)) = iG171(X0,X3,X2,X1)) & ! [X0 : $tType,X3 : X0,X2 : X0,X1 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X3)) => iG170(X0,X1,X2,X3) = iG171(X0,X3,X2,X1))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG171])])).
% 8.48/2.13  tff(f45523,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (bot_bot(set(X0)) = iG171(X0,X1,X2,X3) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X1))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26379])).
% 8.48/2.13  tff(f45520,plain,(
% 8.48/2.13    ( ! [X4 : $tType,X6 : X4,X7 : X4,X5 : X4] : (set_or1337092689740270186AtMost(X4,aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),X7),X5),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),X7),X6)) = iG172(X4,X5,X6,X7) | ($true != aa(X4,$o,aa(X4,fun(X4,$o),ord_less_eq(X4),X6),X5))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26378])).
% 8.48/2.13  tff(f26378,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : (bot_bot(set(X0)) = iG172(X0,X1,X2,X3) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X1))) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : (set_or1337092689740270186AtMost(X4,aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),X7),X5),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),X7),X6)) = iG172(X4,X5,X6,X7) | ($true != aa(X4,$o,aa(X4,fun(X4,$o),ord_less_eq(X4),X6),X5)))),
% 8.48/2.13    inference(ennf_transformation,[],[f20989])).
% 8.48/2.13  tff(f20989,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X1)) => bot_bot(set(X0)) = iG172(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : (($true = aa(X4,$o,aa(X4,fun(X4,$o),ord_less_eq(X4),X6),X5)) => set_or1337092689740270186AtMost(X4,aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),X7),X5),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),X7),X6)) = iG172(X4,X5,X6,X7))),
% 8.48/2.13    inference(flattening,[],[f20988])).
% 8.48/2.13  tff(f20988,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X1)) => bot_bot(set(X0)) = iG172(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : (($true = aa(X4,$o,aa(X4,fun(X4,$o),ord_less_eq(X4),X6),X5)) => set_or1337092689740270186AtMost(X4,aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),X7),X5),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),X7),X6)) = iG172(X4,X5,X6,X7))),
% 8.48/2.13    inference(rectify,[],[f10728])).
% 8.48/2.13  tff(f10728,plain,(
% 8.48/2.13    ! [X0 : $tType,X3 : X0,X2 : X0,X1 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X3)) => bot_bot(set(X0)) = iG172(X0,X3,X2,X1)) & ! [X0 : $tType,X3 : X0,X2 : X0,X1 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X3)) => set_or1337092689740270186AtMost(X0,aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)) = iG172(X0,X3,X2,X1))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG172])])).
% 8.48/2.13  tff(f45521,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (bot_bot(set(X0)) = iG172(X0,X1,X2,X3) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X1))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26378])).
% 8.48/2.13  tff(f45518,plain,(
% 8.48/2.13    ( ! [X4 : $tType,X6 : X4,X7 : X4,X5 : X4] : (set_or1337092689740270186AtMost(X4,aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),X5),X7),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),X5),X6)) = iG173(X4,X5,X6,X7) | ($true != aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),zero_zero(X4)),X5))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26377])).
% 8.48/2.13  tff(f26377,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : (iG172(X0,X2,X3,X1) = iG173(X0,X1,X2,X3) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X1))) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : (set_or1337092689740270186AtMost(X4,aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),X5),X7),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),X5),X6)) = iG173(X4,X5,X6,X7) | ($true != aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),zero_zero(X4)),X5)))),
% 8.48/2.13    inference(ennf_transformation,[],[f20987])).
% 8.48/2.13  tff(f20987,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X1)) => iG172(X0,X2,X3,X1) = iG173(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : (($true = aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),zero_zero(X4)),X5)) => set_or1337092689740270186AtMost(X4,aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),X5),X7),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),X5),X6)) = iG173(X4,X5,X6,X7))),
% 8.48/2.13    inference(flattening,[],[f20986])).
% 8.48/2.13  tff(f20986,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X1)) => iG172(X0,X2,X3,X1) = iG173(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : (($true = aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),zero_zero(X4)),X5)) => set_or1337092689740270186AtMost(X4,aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),X5),X7),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),X5),X6)) = iG173(X4,X5,X6,X7))),
% 8.48/2.13    inference(rectify,[],[f10729])).
% 8.48/2.13  tff(f10729,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X3 : X0,X2 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X1)) => iG172(X0,X3,X2,X1) = iG173(X0,X1,X3,X2)) & ! [X0 : $tType,X1 : X0,X3 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X1)) => set_or1337092689740270186AtMost(X0,aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3)) = iG173(X0,X1,X3,X2))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG173])])).
% 8.48/2.13  tff(f45519,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (iG172(X0,X2,X3,X1) = iG173(X0,X1,X2,X3) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X1))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26377])).
% 8.48/2.13  tff(f45516,plain,(
% 8.48/2.13    ( ! [X4 : $tType,X6 : X4,X7 : X4,X5 : X4] : ((aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),X7),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),X6),X5)) = iG174(X4,X5,X6,X7)) | ($true != aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),X5),zero_zero(X4)))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26376])).
% 8.48/2.13  tff(f26376,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0)) = iG174(X0,X1,X2,X3)) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0)))) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : ((aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),X7),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),X6),X5)) = iG174(X4,X5,X6,X7)) | ($true != aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),X5),zero_zero(X4))))),
% 8.48/2.13    inference(ennf_transformation,[],[f20985])).
% 8.48/2.13  tff(f20985,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0))) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0)) = iG174(X0,X1,X2,X3))) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : (($true = aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),X5),zero_zero(X4))) => (aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),X7),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),X6),X5)) = iG174(X4,X5,X6,X7)))),
% 8.48/2.13    inference(flattening,[],[f20984])).
% 8.48/2.13  tff(f20984,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0))) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0)) = iG174(X0,X1,X2,X3))) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : (($true = aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),X5),zero_zero(X4))) => (aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),X7),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),X6),X5)) = iG174(X4,X5,X6,X7)))),
% 8.48/2.13    inference(rectify,[],[f10794])).
% 8.48/2.13  tff(f10794,plain,(
% 8.48/2.13    ! [X0 : $tType,X3 : X0,X1 : X0,X2 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),zero_zero(X0))) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0)) = iG174(X0,X3,X1,X2))) & ! [X0 : $tType,X3 : X0,X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),zero_zero(X0))) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3)) = iG174(X0,X3,X1,X2)))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG174])])).
% 8.48/2.13  tff(f45517,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0)) = iG174(X0,X1,X2,X3)) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0)))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26376])).
% 8.48/2.13  tff(f45514,plain,(
% 8.48/2.13    ( ! [X5 : $tType,X6 : X5,X7 : X5,X4 : X5] : ((aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4)),X7) = iG175(X5,X4,X6,X7)) | ($true != aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),zero_zero(X5)),X4))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26375])).
% 8.48/2.13  tff(f26375,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : X1,X3 : X1] : ((iG174(X1,X0,X2,X3) = iG175(X1,X0,X2,X3)) | ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),zero_zero(X1)),X0))) & ! [X4 : X5,X5 : $tType,X6 : X5,X7 : X5] : ((aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4)),X7) = iG175(X5,X4,X6,X7)) | ($true != aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),zero_zero(X5)),X4)))),
% 8.48/2.13    inference(ennf_transformation,[],[f20983])).
% 8.48/2.13  tff(f20983,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : X1,X3 : X1] : (($true != aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),zero_zero(X1)),X0)) => (iG174(X1,X0,X2,X3) = iG175(X1,X0,X2,X3))) & ! [X4 : X5,X5 : $tType,X6 : X5,X7 : X5] : (($true = aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),zero_zero(X5)),X4)) => (aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4)),X7) = iG175(X5,X4,X6,X7)))),
% 8.48/2.13    inference(flattening,[],[f20982])).
% 8.48/2.13  tff(f20982,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : X1,X3 : X1] : (~($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),zero_zero(X1)),X0)) => (iG174(X1,X0,X2,X3) = iG175(X1,X0,X2,X3))) & ! [X4 : X5,X5 : $tType,X6 : X5,X7 : X5] : (($true = aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),zero_zero(X5)),X4)) => (aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4)),X7) = iG175(X5,X4,X6,X7)))),
% 8.48/2.13    inference(rectify,[],[f10795])).
% 8.48/2.13  tff(f10795,plain,(
% 8.48/2.13    ! [X3 : X0,X0 : $tType,X1 : X0,X2 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X3)) => (iG174(X0,X3,X1,X2) = iG175(X0,X3,X1,X2))) & ! [X3 : X0,X0 : $tType,X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X3)) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3)),X2) = iG175(X0,X3,X1,X2)))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG175])])).
% 8.48/2.13  tff(f45515,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : X1] : ((iG174(X1,X0,X2,X3) = iG175(X1,X0,X2,X3)) | ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),zero_zero(X1)),X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26375])).
% 8.48/2.13  tff(f45512,plain,(
% 8.48/2.13    ( ! [X4 : $tType,X6 : X4,X7 : X4,X5 : X4] : ((aa(X4,$o,aa(X4,fun(X4,$o),ord_less_eq(X4),X7),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),X6),X5)) = iG176(X4,X5,X6,X7)) | ($true != aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),X5),zero_zero(X4)))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26374])).
% 8.48/2.13  tff(f26374,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),zero_zero(X0)) = iG176(X0,X1,X2,X3)) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0)))) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : ((aa(X4,$o,aa(X4,fun(X4,$o),ord_less_eq(X4),X7),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),X6),X5)) = iG176(X4,X5,X6,X7)) | ($true != aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),X5),zero_zero(X4))))),
% 8.48/2.13    inference(ennf_transformation,[],[f20981])).
% 8.48/2.13  tff(f20981,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0))) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),zero_zero(X0)) = iG176(X0,X1,X2,X3))) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : (($true = aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),X5),zero_zero(X4))) => (aa(X4,$o,aa(X4,fun(X4,$o),ord_less_eq(X4),X7),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),X6),X5)) = iG176(X4,X5,X6,X7)))),
% 8.48/2.13    inference(flattening,[],[f20980])).
% 8.48/2.13  tff(f20980,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0))) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),zero_zero(X0)) = iG176(X0,X1,X2,X3))) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : (($true = aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),X5),zero_zero(X4))) => (aa(X4,$o,aa(X4,fun(X4,$o),ord_less_eq(X4),X7),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),X6),X5)) = iG176(X4,X5,X6,X7)))),
% 8.48/2.13    inference(rectify,[],[f10798])).
% 8.48/2.13  tff(f10798,plain,(
% 8.48/2.13    ! [X0 : $tType,X3 : X0,X1 : X0,X2 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),zero_zero(X0))) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),zero_zero(X0)) = iG176(X0,X3,X1,X2))) & ! [X0 : $tType,X3 : X0,X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),zero_zero(X0))) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3)) = iG176(X0,X3,X1,X2)))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG176])])).
% 8.48/2.13  tff(f45513,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),zero_zero(X0)) = iG176(X0,X1,X2,X3)) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0)))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26374])).
% 8.48/2.13  tff(f45510,plain,(
% 8.48/2.13    ( ! [X5 : $tType,X6 : X5,X7 : X5,X4 : X5] : ((aa(X5,$o,aa(X5,fun(X5,$o),ord_less_eq(X5),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4)),X7) = iG177(X5,X4,X6,X7)) | ($true != aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),zero_zero(X5)),X4))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26373])).
% 8.48/2.13  tff(f26373,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : X1,X3 : X1] : ((iG176(X1,X0,X2,X3) = iG177(X1,X0,X2,X3)) | ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),zero_zero(X1)),X0))) & ! [X4 : X5,X5 : $tType,X6 : X5,X7 : X5] : ((aa(X5,$o,aa(X5,fun(X5,$o),ord_less_eq(X5),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4)),X7) = iG177(X5,X4,X6,X7)) | ($true != aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),zero_zero(X5)),X4)))),
% 8.48/2.13    inference(ennf_transformation,[],[f20979])).
% 8.48/2.13  tff(f20979,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : X1,X3 : X1] : (($true != aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),zero_zero(X1)),X0)) => (iG176(X1,X0,X2,X3) = iG177(X1,X0,X2,X3))) & ! [X4 : X5,X5 : $tType,X6 : X5,X7 : X5] : (($true = aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),zero_zero(X5)),X4)) => (aa(X5,$o,aa(X5,fun(X5,$o),ord_less_eq(X5),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4)),X7) = iG177(X5,X4,X6,X7)))),
% 8.48/2.13    inference(flattening,[],[f20978])).
% 8.48/2.13  tff(f20978,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : X1,X3 : X1] : (~($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),zero_zero(X1)),X0)) => (iG176(X1,X0,X2,X3) = iG177(X1,X0,X2,X3))) & ! [X4 : X5,X5 : $tType,X6 : X5,X7 : X5] : (($true = aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),zero_zero(X5)),X4)) => (aa(X5,$o,aa(X5,fun(X5,$o),ord_less_eq(X5),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4)),X7) = iG177(X5,X4,X6,X7)))),
% 8.48/2.13    inference(rectify,[],[f10799])).
% 8.48/2.13  tff(f10799,plain,(
% 8.48/2.13    ! [X3 : X0,X0 : $tType,X1 : X0,X2 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X3)) => (iG176(X0,X3,X1,X2) = iG177(X0,X3,X1,X2))) & ! [X3 : X0,X0 : $tType,X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X3)) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3)),X2) = iG177(X0,X3,X1,X2)))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG177])])).
% 8.48/2.13  tff(f45511,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : X1] : ((iG176(X1,X0,X2,X3) = iG177(X1,X0,X2,X3)) | ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),zero_zero(X1)),X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26373])).
% 8.48/2.13  tff(f45508,plain,(
% 8.48/2.13    ( ! [X4 : $tType,X6 : X4,X7 : X4,X5 : X4] : ((aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),X6),X5)),X7) = iG178(X4,X5,X6,X7)) | ($true != aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),X5),zero_zero(X4)))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26372])).
% 8.48/2.13  tff(f26372,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2) = iG178(X0,X1,X2,X3)) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0)))) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : ((aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),X6),X5)),X7) = iG178(X4,X5,X6,X7)) | ($true != aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),X5),zero_zero(X4))))),
% 8.48/2.13    inference(ennf_transformation,[],[f20977])).
% 8.48/2.13  tff(f20977,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0))) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2) = iG178(X0,X1,X2,X3))) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : (($true = aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),X5),zero_zero(X4))) => (aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),X6),X5)),X7) = iG178(X4,X5,X6,X7)))),
% 8.48/2.13    inference(flattening,[],[f20976])).
% 8.48/2.13  tff(f20976,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0))) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2) = iG178(X0,X1,X2,X3))) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : (($true = aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),X5),zero_zero(X4))) => (aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),X6),X5)),X7) = iG178(X4,X5,X6,X7)))),
% 8.48/2.13    inference(rectify,[],[f10802])).
% 8.48/2.13  tff(f10802,plain,(
% 8.48/2.13    ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0))) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X3) = iG178(X0,X2,X3,X1))) & ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0))) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X2)),X1) = iG178(X0,X2,X3,X1)))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG178])])).
% 8.48/2.13  tff(f45509,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2) = iG178(X0,X1,X2,X3)) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0)))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26372])).
% 8.48/2.13  tff(f45506,plain,(
% 8.48/2.13    ( ! [X5 : $tType,X6 : X5,X7 : X5,X4 : X5] : ((aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),X7),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4)) = iG179(X5,X4,X6,X7)) | ($true != aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),zero_zero(X5)),X4))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26371])).
% 8.48/2.13  tff(f26371,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : X1,X3 : X1] : ((iG178(X1,X0,X2,X3) = iG179(X1,X0,X2,X3)) | ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),zero_zero(X1)),X0))) & ! [X4 : X5,X5 : $tType,X6 : X5,X7 : X5] : ((aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),X7),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4)) = iG179(X5,X4,X6,X7)) | ($true != aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),zero_zero(X5)),X4)))),
% 8.48/2.13    inference(ennf_transformation,[],[f20975])).
% 8.48/2.13  tff(f20975,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : X1,X3 : X1] : (($true != aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),zero_zero(X1)),X0)) => (iG178(X1,X0,X2,X3) = iG179(X1,X0,X2,X3))) & ! [X4 : X5,X5 : $tType,X6 : X5,X7 : X5] : (($true = aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),zero_zero(X5)),X4)) => (aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),X7),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4)) = iG179(X5,X4,X6,X7)))),
% 8.48/2.13    inference(flattening,[],[f20974])).
% 8.48/2.13  tff(f20974,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : X1,X3 : X1] : (~($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),zero_zero(X1)),X0)) => (iG178(X1,X0,X2,X3) = iG179(X1,X0,X2,X3))) & ! [X4 : X5,X5 : $tType,X6 : X5,X7 : X5] : (($true = aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),zero_zero(X5)),X4)) => (aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),X7),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4)) = iG179(X5,X4,X6,X7)))),
% 8.48/2.13    inference(rectify,[],[f10803])).
% 8.48/2.13  tff(f10803,plain,(
% 8.48/2.13    ! [X2 : X0,X0 : $tType,X3 : X0,X1 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2)) => (iG178(X0,X2,X3,X1) = iG179(X0,X2,X3,X1))) & ! [X2 : X0,X0 : $tType,X3 : X0,X1 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2)) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X2)) = iG179(X0,X2,X3,X1)))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG179])])).
% 8.48/2.13  tff(f45507,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : X1] : ((iG178(X1,X0,X2,X3) = iG179(X1,X0,X2,X3)) | ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),zero_zero(X1)),X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26371])).
% 8.48/2.13  tff(f45504,plain,(
% 8.48/2.13    ( ! [X4 : $tType,X6 : X4,X7 : X4,X5 : X4] : ((aa(X4,$o,aa(X4,fun(X4,$o),ord_less_eq(X4),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),X6),X5)),X7) = iG180(X4,X5,X6,X7)) | ($true != aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),X5),zero_zero(X4)))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26370])).
% 8.48/2.13  tff(f26370,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X2) = iG180(X0,X1,X2,X3)) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0)))) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : ((aa(X4,$o,aa(X4,fun(X4,$o),ord_less_eq(X4),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),X6),X5)),X7) = iG180(X4,X5,X6,X7)) | ($true != aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),X5),zero_zero(X4))))),
% 8.48/2.13    inference(ennf_transformation,[],[f20973])).
% 8.48/2.13  tff(f20973,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0))) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X2) = iG180(X0,X1,X2,X3))) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : (($true = aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),X5),zero_zero(X4))) => (aa(X4,$o,aa(X4,fun(X4,$o),ord_less_eq(X4),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),X6),X5)),X7) = iG180(X4,X5,X6,X7)))),
% 8.48/2.13    inference(flattening,[],[f20972])).
% 8.48/2.13  tff(f20972,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0))) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X2) = iG180(X0,X1,X2,X3))) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : (($true = aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),X5),zero_zero(X4))) => (aa(X4,$o,aa(X4,fun(X4,$o),ord_less_eq(X4),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),X6),X5)),X7) = iG180(X4,X5,X6,X7)))),
% 8.48/2.13    inference(rectify,[],[f10806])).
% 8.48/2.13  tff(f10806,plain,(
% 8.48/2.13    ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0))) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X3) = iG180(X0,X2,X3,X1))) & ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0))) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X2)),X1) = iG180(X0,X2,X3,X1)))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG180])])).
% 8.48/2.13  tff(f45505,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X2) = iG180(X0,X1,X2,X3)) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0)))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26370])).
% 8.48/2.13  tff(f45502,plain,(
% 8.48/2.13    ( ! [X5 : $tType,X6 : X5,X7 : X5,X4 : X5] : ((aa(X5,$o,aa(X5,fun(X5,$o),ord_less_eq(X5),X7),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4)) = iG181(X5,X4,X6,X7)) | ($true != aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),zero_zero(X5)),X4))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26369])).
% 8.48/2.13  tff(f26369,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : X1,X3 : X1] : ((iG180(X1,X0,X2,X3) = iG181(X1,X0,X2,X3)) | ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),zero_zero(X1)),X0))) & ! [X4 : X5,X5 : $tType,X6 : X5,X7 : X5] : ((aa(X5,$o,aa(X5,fun(X5,$o),ord_less_eq(X5),X7),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4)) = iG181(X5,X4,X6,X7)) | ($true != aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),zero_zero(X5)),X4)))),
% 8.48/2.13    inference(ennf_transformation,[],[f20971])).
% 8.48/2.13  tff(f20971,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : X1,X3 : X1] : (($true != aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),zero_zero(X1)),X0)) => (iG180(X1,X0,X2,X3) = iG181(X1,X0,X2,X3))) & ! [X4 : X5,X5 : $tType,X6 : X5,X7 : X5] : (($true = aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),zero_zero(X5)),X4)) => (aa(X5,$o,aa(X5,fun(X5,$o),ord_less_eq(X5),X7),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4)) = iG181(X5,X4,X6,X7)))),
% 8.48/2.13    inference(flattening,[],[f20970])).
% 8.48/2.13  tff(f20970,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : X1,X3 : X1] : (~($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),zero_zero(X1)),X0)) => (iG180(X1,X0,X2,X3) = iG181(X1,X0,X2,X3))) & ! [X4 : X5,X5 : $tType,X6 : X5,X7 : X5] : (($true = aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),zero_zero(X5)),X4)) => (aa(X5,$o,aa(X5,fun(X5,$o),ord_less_eq(X5),X7),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4)) = iG181(X5,X4,X6,X7)))),
% 8.48/2.13    inference(rectify,[],[f10807])).
% 8.48/2.13  tff(f10807,plain,(
% 8.48/2.13    ! [X2 : X0,X0 : $tType,X3 : X0,X1 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2)) => (iG180(X0,X2,X3,X1) = iG181(X0,X2,X3,X1))) & ! [X2 : X0,X0 : $tType,X3 : X0,X1 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2)) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X2)) = iG181(X0,X2,X3,X1)))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG181])])).
% 8.48/2.13  tff(f45503,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : X1] : ((iG180(X1,X0,X2,X3) = iG181(X1,X0,X2,X3)) | ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),zero_zero(X1)),X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26369])).
% 8.48/2.13  tff(f45500,plain,(
% 8.48/2.13    ( ! [X4 : $tType,X6 : num,X7 : X4,X5 : X4] : ((aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),aa(num,X4,numeral_numeral(X4),X6)),X5)),X7) = iG182(X4,X5,X6,X7)) | ($true != aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),X5),zero_zero(X4)))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26368])).
% 8.48/2.13  tff(f26368,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : num,X3 : X0] : ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),aa(num,X0,numeral_numeral(X0),X2)) = iG182(X0,X1,X2,X3)) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0)))) & ! [X4 : $tType,X5 : X4,X6 : num,X7 : X4] : ((aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),aa(num,X4,numeral_numeral(X4),X6)),X5)),X7) = iG182(X4,X5,X6,X7)) | ($true != aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),X5),zero_zero(X4))))),
% 8.48/2.13    inference(ennf_transformation,[],[f20969])).
% 8.48/2.13  tff(f20969,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : num,X3 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0))) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),aa(num,X0,numeral_numeral(X0),X2)) = iG182(X0,X1,X2,X3))) & ! [X4 : $tType,X5 : X4,X6 : num,X7 : X4] : (($true = aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),X5),zero_zero(X4))) => (aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),aa(num,X4,numeral_numeral(X4),X6)),X5)),X7) = iG182(X4,X5,X6,X7)))),
% 8.48/2.13    inference(flattening,[],[f20968])).
% 8.48/2.13  tff(f20968,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : num,X3 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0))) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),aa(num,X0,numeral_numeral(X0),X2)) = iG182(X0,X1,X2,X3))) & ! [X4 : $tType,X5 : X4,X6 : num,X7 : X4] : (($true = aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),X5),zero_zero(X4))) => (aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),aa(num,X4,numeral_numeral(X4),X6)),X5)),X7) = iG182(X4,X5,X6,X7)))),
% 8.48/2.13    inference(rectify,[],[f10818])).
% 8.48/2.13  tff(f10818,plain,(
% 8.48/2.13    ! [X0 : $tType,X2 : X0,X3 : num,X1 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0))) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),aa(num,X0,numeral_numeral(X0),X3)) = iG182(X0,X2,X3,X1))) & ! [X0 : $tType,X2 : X0,X3 : num,X1 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0))) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),X3)),X2)),X1) = iG182(X0,X2,X3,X1)))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG182])])).
% 8.48/2.13  tff(f45501,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : num,X3 : X0,X1 : X0] : ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),aa(num,X0,numeral_numeral(X0),X2)) = iG182(X0,X1,X2,X3)) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0)))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26368])).
% 8.48/2.13  tff(f45498,plain,(
% 8.48/2.13    ( ! [X5 : $tType,X6 : num,X7 : X5,X4 : X5] : ((aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),X7),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),aa(num,X5,numeral_numeral(X5),X6)),X4)) = iG183(X5,X4,X6,X7)) | ($true != aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),zero_zero(X5)),X4))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26367])).
% 8.48/2.13  tff(f26367,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : num,X3 : X1] : ((iG182(X1,X0,X2,X3) = iG183(X1,X0,X2,X3)) | ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),zero_zero(X1)),X0))) & ! [X4 : X5,X5 : $tType,X6 : num,X7 : X5] : ((aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),X7),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),aa(num,X5,numeral_numeral(X5),X6)),X4)) = iG183(X5,X4,X6,X7)) | ($true != aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),zero_zero(X5)),X4)))),
% 8.48/2.13    inference(ennf_transformation,[],[f20967])).
% 8.48/2.13  tff(f20967,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : num,X3 : X1] : (($true != aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),zero_zero(X1)),X0)) => (iG182(X1,X0,X2,X3) = iG183(X1,X0,X2,X3))) & ! [X4 : X5,X5 : $tType,X6 : num,X7 : X5] : (($true = aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),zero_zero(X5)),X4)) => (aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),X7),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),aa(num,X5,numeral_numeral(X5),X6)),X4)) = iG183(X5,X4,X6,X7)))),
% 8.48/2.13    inference(flattening,[],[f20966])).
% 8.48/2.13  tff(f20966,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : num,X3 : X1] : (~($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),zero_zero(X1)),X0)) => (iG182(X1,X0,X2,X3) = iG183(X1,X0,X2,X3))) & ! [X4 : X5,X5 : $tType,X6 : num,X7 : X5] : (($true = aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),zero_zero(X5)),X4)) => (aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),X7),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),aa(num,X5,numeral_numeral(X5),X6)),X4)) = iG183(X5,X4,X6,X7)))),
% 8.48/2.13    inference(rectify,[],[f10819])).
% 8.48/2.13  tff(f10819,plain,(
% 8.48/2.13    ! [X2 : X0,X0 : $tType,X3 : num,X1 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2)) => (iG182(X0,X2,X3,X1) = iG183(X0,X2,X3,X1))) & ! [X2 : X0,X0 : $tType,X3 : num,X1 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2)) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),X3)),X2)) = iG183(X0,X2,X3,X1)))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG183])])).
% 8.48/2.13  tff(f45499,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X2 : num,X3 : X1,X0 : X1] : ((iG182(X1,X0,X2,X3) = iG183(X1,X0,X2,X3)) | ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),zero_zero(X1)),X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26367])).
% 8.48/2.13  tff(f45496,plain,(
% 8.48/2.13    ( ! [X4 : $tType,X6 : num,X7 : X4,X5 : X4] : ((aa(X4,$o,aa(X4,fun(X4,$o),ord_less_eq(X4),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),aa(num,X4,numeral_numeral(X4),X6)),X5)),X7) = iG184(X4,X5,X6,X7)) | ($true != aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),X5),zero_zero(X4)))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26366])).
% 8.48/2.13  tff(f26366,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : num,X3 : X0] : ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),aa(num,X0,numeral_numeral(X0),X2)) = iG184(X0,X1,X2,X3)) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0)))) & ! [X4 : $tType,X5 : X4,X6 : num,X7 : X4] : ((aa(X4,$o,aa(X4,fun(X4,$o),ord_less_eq(X4),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),aa(num,X4,numeral_numeral(X4),X6)),X5)),X7) = iG184(X4,X5,X6,X7)) | ($true != aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),X5),zero_zero(X4))))),
% 8.48/2.13    inference(ennf_transformation,[],[f20965])).
% 8.48/2.13  tff(f20965,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : num,X3 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0))) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),aa(num,X0,numeral_numeral(X0),X2)) = iG184(X0,X1,X2,X3))) & ! [X4 : $tType,X5 : X4,X6 : num,X7 : X4] : (($true = aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),X5),zero_zero(X4))) => (aa(X4,$o,aa(X4,fun(X4,$o),ord_less_eq(X4),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),aa(num,X4,numeral_numeral(X4),X6)),X5)),X7) = iG184(X4,X5,X6,X7)))),
% 8.48/2.13    inference(flattening,[],[f20964])).
% 8.48/2.13  tff(f20964,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : num,X3 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0))) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),aa(num,X0,numeral_numeral(X0),X2)) = iG184(X0,X1,X2,X3))) & ! [X4 : $tType,X5 : X4,X6 : num,X7 : X4] : (($true = aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),X5),zero_zero(X4))) => (aa(X4,$o,aa(X4,fun(X4,$o),ord_less_eq(X4),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),aa(num,X4,numeral_numeral(X4),X6)),X5)),X7) = iG184(X4,X5,X6,X7)))),
% 8.48/2.13    inference(rectify,[],[f10822])).
% 8.48/2.13  tff(f10822,plain,(
% 8.48/2.13    ! [X0 : $tType,X2 : X0,X3 : num,X1 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0))) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),aa(num,X0,numeral_numeral(X0),X3)) = iG184(X0,X2,X3,X1))) & ! [X0 : $tType,X2 : X0,X3 : num,X1 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0))) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),X3)),X2)),X1) = iG184(X0,X2,X3,X1)))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG184])])).
% 8.48/2.13  tff(f45497,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : num,X3 : X0,X1 : X0] : ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),aa(num,X0,numeral_numeral(X0),X2)) = iG184(X0,X1,X2,X3)) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0)))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26366])).
% 8.48/2.13  tff(f45494,plain,(
% 8.48/2.13    ( ! [X5 : $tType,X6 : num,X7 : X5,X4 : X5] : ((aa(X5,$o,aa(X5,fun(X5,$o),ord_less_eq(X5),X7),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),aa(num,X5,numeral_numeral(X5),X6)),X4)) = iG185(X5,X4,X6,X7)) | ($true != aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),zero_zero(X5)),X4))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26365])).
% 8.48/2.13  tff(f26365,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : num,X3 : X1] : ((iG184(X1,X0,X2,X3) = iG185(X1,X0,X2,X3)) | ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),zero_zero(X1)),X0))) & ! [X4 : X5,X5 : $tType,X6 : num,X7 : X5] : ((aa(X5,$o,aa(X5,fun(X5,$o),ord_less_eq(X5),X7),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),aa(num,X5,numeral_numeral(X5),X6)),X4)) = iG185(X5,X4,X6,X7)) | ($true != aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),zero_zero(X5)),X4)))),
% 8.48/2.13    inference(ennf_transformation,[],[f20963])).
% 8.48/2.13  tff(f20963,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : num,X3 : X1] : (($true != aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),zero_zero(X1)),X0)) => (iG184(X1,X0,X2,X3) = iG185(X1,X0,X2,X3))) & ! [X4 : X5,X5 : $tType,X6 : num,X7 : X5] : (($true = aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),zero_zero(X5)),X4)) => (aa(X5,$o,aa(X5,fun(X5,$o),ord_less_eq(X5),X7),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),aa(num,X5,numeral_numeral(X5),X6)),X4)) = iG185(X5,X4,X6,X7)))),
% 8.48/2.13    inference(flattening,[],[f20962])).
% 8.48/2.13  tff(f20962,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : num,X3 : X1] : (~($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),zero_zero(X1)),X0)) => (iG184(X1,X0,X2,X3) = iG185(X1,X0,X2,X3))) & ! [X4 : X5,X5 : $tType,X6 : num,X7 : X5] : (($true = aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),zero_zero(X5)),X4)) => (aa(X5,$o,aa(X5,fun(X5,$o),ord_less_eq(X5),X7),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),aa(num,X5,numeral_numeral(X5),X6)),X4)) = iG185(X5,X4,X6,X7)))),
% 8.48/2.13    inference(rectify,[],[f10823])).
% 8.48/2.13  tff(f10823,plain,(
% 8.48/2.13    ! [X2 : X0,X0 : $tType,X3 : num,X1 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2)) => (iG184(X0,X2,X3,X1) = iG185(X0,X2,X3,X1))) & ! [X2 : X0,X0 : $tType,X3 : num,X1 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2)) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),X3)),X2)) = iG185(X0,X2,X3,X1)))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG185])])).
% 8.48/2.13  tff(f45495,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X2 : num,X3 : X1,X0 : X1] : ((iG184(X1,X0,X2,X3) = iG185(X1,X0,X2,X3)) | ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),zero_zero(X1)),X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26365])).
% 8.48/2.13  tff(f45492,plain,(
% 8.48/2.13    ( ! [X4 : $tType,X6 : num,X7 : X4,X5 : X4] : ((aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),X7),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),aa(num,X4,numeral_numeral(X4),X6)),X5)) = iG186(X4,X5,X6,X7)) | ($true != aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),X5),zero_zero(X4)))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26364])).
% 8.48/2.13  tff(f26364,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : num,X3 : X0] : ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),aa(num,X0,numeral_numeral(X0),X2)),zero_zero(X0)) = iG186(X0,X1,X2,X3)) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0)))) & ! [X4 : $tType,X5 : X4,X6 : num,X7 : X4] : ((aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),X7),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),aa(num,X4,numeral_numeral(X4),X6)),X5)) = iG186(X4,X5,X6,X7)) | ($true != aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),X5),zero_zero(X4))))),
% 8.48/2.13    inference(ennf_transformation,[],[f20961])).
% 8.48/2.13  tff(f20961,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : num,X3 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0))) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),aa(num,X0,numeral_numeral(X0),X2)),zero_zero(X0)) = iG186(X0,X1,X2,X3))) & ! [X4 : $tType,X5 : X4,X6 : num,X7 : X4] : (($true = aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),X5),zero_zero(X4))) => (aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),X7),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),aa(num,X4,numeral_numeral(X4),X6)),X5)) = iG186(X4,X5,X6,X7)))),
% 8.48/2.13    inference(flattening,[],[f20960])).
% 8.48/2.13  tff(f20960,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : num,X3 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0))) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),aa(num,X0,numeral_numeral(X0),X2)),zero_zero(X0)) = iG186(X0,X1,X2,X3))) & ! [X4 : $tType,X5 : X4,X6 : num,X7 : X4] : (($true = aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),X5),zero_zero(X4))) => (aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),X7),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),aa(num,X4,numeral_numeral(X4),X6)),X5)) = iG186(X4,X5,X6,X7)))),
% 8.48/2.13    inference(rectify,[],[f10826])).
% 8.48/2.13  tff(f10826,plain,(
% 8.48/2.13    ! [X0 : $tType,X3 : X0,X1 : num,X2 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),zero_zero(X0))) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),aa(num,X0,numeral_numeral(X0),X1)),zero_zero(X0)) = iG186(X0,X3,X1,X2))) & ! [X0 : $tType,X3 : X0,X1 : num,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),zero_zero(X0))) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),X1)),X3)) = iG186(X0,X3,X1,X2)))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG186])])).
% 8.48/2.13  tff(f45493,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : num,X3 : X0,X1 : X0] : ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),aa(num,X0,numeral_numeral(X0),X2)),zero_zero(X0)) = iG186(X0,X1,X2,X3)) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0)))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26364])).
% 8.48/2.13  tff(f45490,plain,(
% 8.48/2.13    ( ! [X5 : $tType,X6 : num,X7 : X5,X4 : X5] : ((aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),aa(num,X5,numeral_numeral(X5),X6)),X4)),X7) = iG187(X5,X4,X6,X7)) | ($true != aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),zero_zero(X5)),X4))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26363])).
% 8.48/2.13  tff(f26363,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : num,X3 : X1] : ((iG186(X1,X0,X2,X3) = iG187(X1,X0,X2,X3)) | ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),zero_zero(X1)),X0))) & ! [X4 : X5,X5 : $tType,X6 : num,X7 : X5] : ((aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),aa(num,X5,numeral_numeral(X5),X6)),X4)),X7) = iG187(X5,X4,X6,X7)) | ($true != aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),zero_zero(X5)),X4)))),
% 8.48/2.13    inference(ennf_transformation,[],[f20959])).
% 8.48/2.13  tff(f20959,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : num,X3 : X1] : (($true != aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),zero_zero(X1)),X0)) => (iG186(X1,X0,X2,X3) = iG187(X1,X0,X2,X3))) & ! [X4 : X5,X5 : $tType,X6 : num,X7 : X5] : (($true = aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),zero_zero(X5)),X4)) => (aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),aa(num,X5,numeral_numeral(X5),X6)),X4)),X7) = iG187(X5,X4,X6,X7)))),
% 8.48/2.13    inference(flattening,[],[f20958])).
% 8.48/2.13  tff(f20958,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : num,X3 : X1] : (~($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),zero_zero(X1)),X0)) => (iG186(X1,X0,X2,X3) = iG187(X1,X0,X2,X3))) & ! [X4 : X5,X5 : $tType,X6 : num,X7 : X5] : (($true = aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),zero_zero(X5)),X4)) => (aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),aa(num,X5,numeral_numeral(X5),X6)),X4)),X7) = iG187(X5,X4,X6,X7)))),
% 8.48/2.13    inference(rectify,[],[f10827])).
% 8.48/2.13  tff(f10827,plain,(
% 8.48/2.13    ! [X3 : X0,X0 : $tType,X1 : num,X2 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X3)) => (iG186(X0,X3,X1,X2) = iG187(X0,X3,X1,X2))) & ! [X3 : X0,X0 : $tType,X1 : num,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X3)) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),X1)),X3)),X2) = iG187(X0,X3,X1,X2)))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG187])])).
% 8.48/2.13  tff(f45491,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X2 : num,X3 : X1,X0 : X1] : ((iG186(X1,X0,X2,X3) = iG187(X1,X0,X2,X3)) | ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),zero_zero(X1)),X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26363])).
% 8.48/2.13  tff(f45488,plain,(
% 8.48/2.13    ( ! [X4 : $tType,X6 : num,X7 : X4,X5 : X4] : ((aa(X4,$o,aa(X4,fun(X4,$o),ord_less_eq(X4),X7),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),aa(num,X4,numeral_numeral(X4),X6)),X5)) = iG188(X4,X5,X6,X7)) | ($true != aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),X5),zero_zero(X4)))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26362])).
% 8.48/2.13  tff(f26362,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : num,X3 : X0] : ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(num,X0,numeral_numeral(X0),X2)),zero_zero(X0)) = iG188(X0,X1,X2,X3)) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0)))) & ! [X4 : $tType,X5 : X4,X6 : num,X7 : X4] : ((aa(X4,$o,aa(X4,fun(X4,$o),ord_less_eq(X4),X7),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),aa(num,X4,numeral_numeral(X4),X6)),X5)) = iG188(X4,X5,X6,X7)) | ($true != aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),X5),zero_zero(X4))))),
% 8.48/2.13    inference(ennf_transformation,[],[f20957])).
% 8.48/2.13  tff(f20957,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : num,X3 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0))) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(num,X0,numeral_numeral(X0),X2)),zero_zero(X0)) = iG188(X0,X1,X2,X3))) & ! [X4 : $tType,X5 : X4,X6 : num,X7 : X4] : (($true = aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),X5),zero_zero(X4))) => (aa(X4,$o,aa(X4,fun(X4,$o),ord_less_eq(X4),X7),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),aa(num,X4,numeral_numeral(X4),X6)),X5)) = iG188(X4,X5,X6,X7)))),
% 8.48/2.13    inference(flattening,[],[f20956])).
% 8.48/2.13  tff(f20956,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : num,X3 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0))) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(num,X0,numeral_numeral(X0),X2)),zero_zero(X0)) = iG188(X0,X1,X2,X3))) & ! [X4 : $tType,X5 : X4,X6 : num,X7 : X4] : (($true = aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),X5),zero_zero(X4))) => (aa(X4,$o,aa(X4,fun(X4,$o),ord_less_eq(X4),X7),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),aa(num,X4,numeral_numeral(X4),X6)),X5)) = iG188(X4,X5,X6,X7)))),
% 8.48/2.13    inference(rectify,[],[f10830])).
% 8.48/2.13  tff(f10830,plain,(
% 8.48/2.13    ! [X0 : $tType,X3 : X0,X1 : num,X2 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),zero_zero(X0))) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(num,X0,numeral_numeral(X0),X1)),zero_zero(X0)) = iG188(X0,X3,X1,X2))) & ! [X0 : $tType,X3 : X0,X1 : num,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),zero_zero(X0))) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),X1)),X3)) = iG188(X0,X3,X1,X2)))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG188])])).
% 8.48/2.13  tff(f45489,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : num,X3 : X0,X1 : X0] : ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(num,X0,numeral_numeral(X0),X2)),zero_zero(X0)) = iG188(X0,X1,X2,X3)) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0)))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26362])).
% 8.48/2.13  tff(f45486,plain,(
% 8.48/2.13    ( ! [X5 : $tType,X6 : num,X7 : X5,X4 : X5] : ((aa(X5,$o,aa(X5,fun(X5,$o),ord_less_eq(X5),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),aa(num,X5,numeral_numeral(X5),X6)),X4)),X7) = iG189(X5,X4,X6,X7)) | ($true != aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),zero_zero(X5)),X4))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26361])).
% 8.48/2.13  tff(f26361,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : num,X3 : X1] : ((iG188(X1,X0,X2,X3) = iG189(X1,X0,X2,X3)) | ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),zero_zero(X1)),X0))) & ! [X4 : X5,X5 : $tType,X6 : num,X7 : X5] : ((aa(X5,$o,aa(X5,fun(X5,$o),ord_less_eq(X5),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),aa(num,X5,numeral_numeral(X5),X6)),X4)),X7) = iG189(X5,X4,X6,X7)) | ($true != aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),zero_zero(X5)),X4)))),
% 8.48/2.13    inference(ennf_transformation,[],[f20955])).
% 8.48/2.13  tff(f20955,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : num,X3 : X1] : (($true != aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),zero_zero(X1)),X0)) => (iG188(X1,X0,X2,X3) = iG189(X1,X0,X2,X3))) & ! [X4 : X5,X5 : $tType,X6 : num,X7 : X5] : (($true = aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),zero_zero(X5)),X4)) => (aa(X5,$o,aa(X5,fun(X5,$o),ord_less_eq(X5),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),aa(num,X5,numeral_numeral(X5),X6)),X4)),X7) = iG189(X5,X4,X6,X7)))),
% 8.48/2.13    inference(flattening,[],[f20954])).
% 8.48/2.13  tff(f20954,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : num,X3 : X1] : (~($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),zero_zero(X1)),X0)) => (iG188(X1,X0,X2,X3) = iG189(X1,X0,X2,X3))) & ! [X4 : X5,X5 : $tType,X6 : num,X7 : X5] : (($true = aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),zero_zero(X5)),X4)) => (aa(X5,$o,aa(X5,fun(X5,$o),ord_less_eq(X5),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),aa(num,X5,numeral_numeral(X5),X6)),X4)),X7) = iG189(X5,X4,X6,X7)))),
% 8.48/2.13    inference(rectify,[],[f10831])).
% 8.48/2.13  tff(f10831,plain,(
% 8.48/2.13    ! [X3 : X0,X0 : $tType,X1 : num,X2 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X3)) => (iG188(X0,X3,X1,X2) = iG189(X0,X3,X1,X2))) & ! [X3 : X0,X0 : $tType,X1 : num,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X3)) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),X1)),X3)),X2) = iG189(X0,X3,X1,X2)))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG189])])).
% 8.48/2.13  tff(f45487,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X2 : num,X3 : X1,X0 : X1] : ((iG188(X1,X0,X2,X3) = iG189(X1,X0,X2,X3)) | ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),zero_zero(X1)),X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26361])).
% 8.48/2.13  tff(f45484,plain,(
% 8.48/2.13    ( ! [X4 : $tType,X6 : X4,X7 : X4,X5 : X4] : ((aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),aa(X4,X4,uminus_uminus(X4),X7)),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),X6),X5)) = iG190(X4,X5,X6,X7)) | ($true != aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),X5),zero_zero(X4)))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26360])).
% 8.48/2.13  tff(f26360,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0)) = iG190(X0,X1,X2,X3)) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0)))) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : ((aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),aa(X4,X4,uminus_uminus(X4),X7)),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),X6),X5)) = iG190(X4,X5,X6,X7)) | ($true != aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),X5),zero_zero(X4))))),
% 8.48/2.13    inference(ennf_transformation,[],[f20953])).
% 8.48/2.13  tff(f20953,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0))) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0)) = iG190(X0,X1,X2,X3))) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : (($true = aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),X5),zero_zero(X4))) => (aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),aa(X4,X4,uminus_uminus(X4),X7)),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),X6),X5)) = iG190(X4,X5,X6,X7)))),
% 8.48/2.13    inference(flattening,[],[f20952])).
% 8.48/2.13  tff(f20952,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0))) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0)) = iG190(X0,X1,X2,X3))) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : (($true = aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),X5),zero_zero(X4))) => (aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),aa(X4,X4,uminus_uminus(X4),X7)),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),X6),X5)) = iG190(X4,X5,X6,X7)))),
% 8.48/2.13    inference(rectify,[],[f10838])).
% 8.48/2.13  tff(f10838,plain,(
% 8.48/2.13    ! [X0 : $tType,X3 : X0,X1 : X0,X2 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),zero_zero(X0))) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0)) = iG190(X0,X3,X1,X2))) & ! [X0 : $tType,X3 : X0,X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),zero_zero(X0))) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),aa(X0,X0,uminus_uminus(X0),X2)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3)) = iG190(X0,X3,X1,X2)))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG190])])).
% 8.48/2.13  tff(f45485,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0)) = iG190(X0,X1,X2,X3)) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0)))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26360])).
% 8.48/2.13  tff(f45482,plain,(
% 8.48/2.13    ( ! [X5 : $tType,X6 : X5,X7 : X5,X4 : X5] : ((aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4)),aa(X5,X5,uminus_uminus(X5),X7)) = iG191(X5,X4,X6,X7)) | ($true != aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),zero_zero(X5)),X4))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26359])).
% 8.48/2.13  tff(f26359,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : X1,X3 : X1] : ((iG190(X1,X0,X2,X3) = iG191(X1,X0,X2,X3)) | ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),zero_zero(X1)),X0))) & ! [X4 : X5,X5 : $tType,X6 : X5,X7 : X5] : ((aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4)),aa(X5,X5,uminus_uminus(X5),X7)) = iG191(X5,X4,X6,X7)) | ($true != aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),zero_zero(X5)),X4)))),
% 8.48/2.13    inference(ennf_transformation,[],[f20951])).
% 8.48/2.13  tff(f20951,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : X1,X3 : X1] : (($true != aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),zero_zero(X1)),X0)) => (iG190(X1,X0,X2,X3) = iG191(X1,X0,X2,X3))) & ! [X4 : X5,X5 : $tType,X6 : X5,X7 : X5] : (($true = aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),zero_zero(X5)),X4)) => (aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4)),aa(X5,X5,uminus_uminus(X5),X7)) = iG191(X5,X4,X6,X7)))),
% 8.48/2.13    inference(flattening,[],[f20950])).
% 8.48/2.13  tff(f20950,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : X1,X3 : X1] : (~($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),zero_zero(X1)),X0)) => (iG190(X1,X0,X2,X3) = iG191(X1,X0,X2,X3))) & ! [X4 : X5,X5 : $tType,X6 : X5,X7 : X5] : (($true = aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),zero_zero(X5)),X4)) => (aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4)),aa(X5,X5,uminus_uminus(X5),X7)) = iG191(X5,X4,X6,X7)))),
% 8.48/2.13    inference(rectify,[],[f10839])).
% 8.48/2.13  tff(f10839,plain,(
% 8.48/2.13    ! [X3 : X0,X0 : $tType,X1 : X0,X2 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X3)) => (iG190(X0,X3,X1,X2) = iG191(X0,X3,X1,X2))) & ! [X3 : X0,X0 : $tType,X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X3)) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3)),aa(X0,X0,uminus_uminus(X0),X2)) = iG191(X0,X3,X1,X2)))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG191])])).
% 8.48/2.13  tff(f45483,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : X1] : ((iG190(X1,X0,X2,X3) = iG191(X1,X0,X2,X3)) | ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),zero_zero(X1)),X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26359])).
% 8.48/2.13  tff(f45480,plain,(
% 8.48/2.13    ( ! [X4 : $tType,X6 : X4,X7 : X4,X5 : X4] : ((aa(X4,$o,aa(X4,fun(X4,$o),ord_less_eq(X4),aa(X4,X4,uminus_uminus(X4),X7)),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),X6),X5)) = iG192(X4,X5,X6,X7)) | ($true != aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),X5),zero_zero(X4)))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26358])).
% 8.48/2.13  tff(f26358,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),zero_zero(X0)) = iG192(X0,X1,X2,X3)) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0)))) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : ((aa(X4,$o,aa(X4,fun(X4,$o),ord_less_eq(X4),aa(X4,X4,uminus_uminus(X4),X7)),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),X6),X5)) = iG192(X4,X5,X6,X7)) | ($true != aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),X5),zero_zero(X4))))),
% 8.48/2.13    inference(ennf_transformation,[],[f20949])).
% 8.48/2.13  tff(f20949,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0))) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),zero_zero(X0)) = iG192(X0,X1,X2,X3))) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : (($true = aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),X5),zero_zero(X4))) => (aa(X4,$o,aa(X4,fun(X4,$o),ord_less_eq(X4),aa(X4,X4,uminus_uminus(X4),X7)),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),X6),X5)) = iG192(X4,X5,X6,X7)))),
% 8.48/2.13    inference(flattening,[],[f20948])).
% 8.48/2.13  tff(f20948,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0))) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),zero_zero(X0)) = iG192(X0,X1,X2,X3))) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : (($true = aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),X5),zero_zero(X4))) => (aa(X4,$o,aa(X4,fun(X4,$o),ord_less_eq(X4),aa(X4,X4,uminus_uminus(X4),X7)),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),X6),X5)) = iG192(X4,X5,X6,X7)))),
% 8.48/2.13    inference(rectify,[],[f10842])).
% 8.48/2.13  tff(f10842,plain,(
% 8.48/2.13    ! [X0 : $tType,X3 : X0,X1 : X0,X2 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),zero_zero(X0))) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),zero_zero(X0)) = iG192(X0,X3,X1,X2))) & ! [X0 : $tType,X3 : X0,X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),zero_zero(X0))) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(X0,X0,uminus_uminus(X0),X2)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3)) = iG192(X0,X3,X1,X2)))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG192])])).
% 8.48/2.13  tff(f45481,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),zero_zero(X0)) = iG192(X0,X1,X2,X3)) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0)))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26358])).
% 8.48/2.13  tff(f45478,plain,(
% 8.48/2.13    ( ! [X5 : $tType,X6 : X5,X7 : X5,X4 : X5] : ((aa(X5,$o,aa(X5,fun(X5,$o),ord_less_eq(X5),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4)),aa(X5,X5,uminus_uminus(X5),X7)) = iG193(X5,X4,X6,X7)) | ($true != aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),zero_zero(X5)),X4))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26357])).
% 8.48/2.13  tff(f26357,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : X1,X3 : X1] : ((iG192(X1,X0,X2,X3) = iG193(X1,X0,X2,X3)) | ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),zero_zero(X1)),X0))) & ! [X4 : X5,X5 : $tType,X6 : X5,X7 : X5] : ((aa(X5,$o,aa(X5,fun(X5,$o),ord_less_eq(X5),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4)),aa(X5,X5,uminus_uminus(X5),X7)) = iG193(X5,X4,X6,X7)) | ($true != aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),zero_zero(X5)),X4)))),
% 8.48/2.13    inference(ennf_transformation,[],[f20947])).
% 8.48/2.13  tff(f20947,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : X1,X3 : X1] : (($true != aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),zero_zero(X1)),X0)) => (iG192(X1,X0,X2,X3) = iG193(X1,X0,X2,X3))) & ! [X4 : X5,X5 : $tType,X6 : X5,X7 : X5] : (($true = aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),zero_zero(X5)),X4)) => (aa(X5,$o,aa(X5,fun(X5,$o),ord_less_eq(X5),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4)),aa(X5,X5,uminus_uminus(X5),X7)) = iG193(X5,X4,X6,X7)))),
% 8.48/2.13    inference(flattening,[],[f20946])).
% 8.48/2.13  tff(f20946,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : X1,X3 : X1] : (~($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),zero_zero(X1)),X0)) => (iG192(X1,X0,X2,X3) = iG193(X1,X0,X2,X3))) & ! [X4 : X5,X5 : $tType,X6 : X5,X7 : X5] : (($true = aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),zero_zero(X5)),X4)) => (aa(X5,$o,aa(X5,fun(X5,$o),ord_less_eq(X5),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4)),aa(X5,X5,uminus_uminus(X5),X7)) = iG193(X5,X4,X6,X7)))),
% 8.48/2.13    inference(rectify,[],[f10843])).
% 8.48/2.13  tff(f10843,plain,(
% 8.48/2.13    ! [X3 : X0,X0 : $tType,X1 : X0,X2 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X3)) => (iG192(X0,X3,X1,X2) = iG193(X0,X3,X1,X2))) & ! [X3 : X0,X0 : $tType,X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X3)) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3)),aa(X0,X0,uminus_uminus(X0),X2)) = iG193(X0,X3,X1,X2)))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG193])])).
% 8.48/2.13  tff(f45479,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : X1] : ((iG192(X1,X0,X2,X3) = iG193(X1,X0,X2,X3)) | ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),zero_zero(X1)),X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26357])).
% 8.48/2.13  tff(f45476,plain,(
% 8.48/2.13    ( ! [X4 : $tType,X6 : X4,X7 : X4,X5 : X4] : ((aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),X6),X5)),aa(X4,X4,uminus_uminus(X4),X7)) = iG194(X4,X5,X6,X7)) | ($true != aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),X5),zero_zero(X4)))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26356])).
% 8.48/2.13  tff(f26356,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2) = iG194(X0,X1,X2,X3)) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0)))) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : ((aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),X6),X5)),aa(X4,X4,uminus_uminus(X4),X7)) = iG194(X4,X5,X6,X7)) | ($true != aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),X5),zero_zero(X4))))),
% 8.48/2.13    inference(ennf_transformation,[],[f20945])).
% 8.48/2.13  tff(f20945,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0))) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2) = iG194(X0,X1,X2,X3))) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : (($true = aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),X5),zero_zero(X4))) => (aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),X6),X5)),aa(X4,X4,uminus_uminus(X4),X7)) = iG194(X4,X5,X6,X7)))),
% 8.48/2.13    inference(flattening,[],[f20944])).
% 8.48/2.13  tff(f20944,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0))) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2) = iG194(X0,X1,X2,X3))) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : (($true = aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),X5),zero_zero(X4))) => (aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),X6),X5)),aa(X4,X4,uminus_uminus(X4),X7)) = iG194(X4,X5,X6,X7)))),
% 8.48/2.13    inference(rectify,[],[f10846])).
% 8.48/2.13  tff(f10846,plain,(
% 8.48/2.13    ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0))) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X3) = iG194(X0,X2,X3,X1))) & ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0))) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X2)),aa(X0,X0,uminus_uminus(X0),X1)) = iG194(X0,X2,X3,X1)))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG194])])).
% 8.48/2.13  tff(f45477,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2) = iG194(X0,X1,X2,X3)) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0)))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26356])).
% 8.48/2.13  tff(f45474,plain,(
% 8.48/2.13    ( ! [X5 : $tType,X6 : X5,X7 : X5,X4 : X5] : ((aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),aa(X5,X5,uminus_uminus(X5),X7)),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4)) = iG195(X5,X4,X6,X7)) | ($true != aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),zero_zero(X5)),X4))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26355])).
% 8.48/2.13  tff(f26355,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : X1,X3 : X1] : ((iG194(X1,X0,X2,X3) = iG195(X1,X0,X2,X3)) | ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),zero_zero(X1)),X0))) & ! [X4 : X5,X5 : $tType,X6 : X5,X7 : X5] : ((aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),aa(X5,X5,uminus_uminus(X5),X7)),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4)) = iG195(X5,X4,X6,X7)) | ($true != aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),zero_zero(X5)),X4)))),
% 8.48/2.13    inference(ennf_transformation,[],[f20943])).
% 8.48/2.13  tff(f20943,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : X1,X3 : X1] : (($true != aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),zero_zero(X1)),X0)) => (iG194(X1,X0,X2,X3) = iG195(X1,X0,X2,X3))) & ! [X4 : X5,X5 : $tType,X6 : X5,X7 : X5] : (($true = aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),zero_zero(X5)),X4)) => (aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),aa(X5,X5,uminus_uminus(X5),X7)),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4)) = iG195(X5,X4,X6,X7)))),
% 8.48/2.13    inference(flattening,[],[f20942])).
% 8.48/2.13  tff(f20942,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : X1,X3 : X1] : (~($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),zero_zero(X1)),X0)) => (iG194(X1,X0,X2,X3) = iG195(X1,X0,X2,X3))) & ! [X4 : X5,X5 : $tType,X6 : X5,X7 : X5] : (($true = aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),zero_zero(X5)),X4)) => (aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),aa(X5,X5,uminus_uminus(X5),X7)),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4)) = iG195(X5,X4,X6,X7)))),
% 8.48/2.13    inference(rectify,[],[f10847])).
% 8.48/2.13  tff(f10847,plain,(
% 8.48/2.13    ! [X2 : X0,X0 : $tType,X3 : X0,X1 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2)) => (iG194(X0,X2,X3,X1) = iG195(X0,X2,X3,X1))) & ! [X2 : X0,X0 : $tType,X3 : X0,X1 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2)) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),aa(X0,X0,uminus_uminus(X0),X1)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X2)) = iG195(X0,X2,X3,X1)))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG195])])).
% 8.48/2.13  tff(f45475,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : X1] : ((iG194(X1,X0,X2,X3) = iG195(X1,X0,X2,X3)) | ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),zero_zero(X1)),X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26355])).
% 8.48/2.13  tff(f45472,plain,(
% 8.48/2.13    ( ! [X4 : $tType,X6 : X4,X7 : X4,X5 : X4] : ((aa(X4,$o,aa(X4,fun(X4,$o),ord_less_eq(X4),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),X6),X5)),aa(X4,X4,uminus_uminus(X4),X7)) = iG196(X4,X5,X6,X7)) | ($true != aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),X5),zero_zero(X4)))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26354])).
% 8.48/2.13  tff(f26354,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X2) = iG196(X0,X1,X2,X3)) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0)))) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : ((aa(X4,$o,aa(X4,fun(X4,$o),ord_less_eq(X4),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),X6),X5)),aa(X4,X4,uminus_uminus(X4),X7)) = iG196(X4,X5,X6,X7)) | ($true != aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),X5),zero_zero(X4))))),
% 8.48/2.13    inference(ennf_transformation,[],[f20941])).
% 8.48/2.13  tff(f20941,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0))) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X2) = iG196(X0,X1,X2,X3))) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : (($true = aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),X5),zero_zero(X4))) => (aa(X4,$o,aa(X4,fun(X4,$o),ord_less_eq(X4),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),X6),X5)),aa(X4,X4,uminus_uminus(X4),X7)) = iG196(X4,X5,X6,X7)))),
% 8.48/2.13    inference(flattening,[],[f20940])).
% 8.48/2.13  tff(f20940,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0))) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X2) = iG196(X0,X1,X2,X3))) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : (($true = aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),X5),zero_zero(X4))) => (aa(X4,$o,aa(X4,fun(X4,$o),ord_less_eq(X4),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),X6),X5)),aa(X4,X4,uminus_uminus(X4),X7)) = iG196(X4,X5,X6,X7)))),
% 8.48/2.13    inference(rectify,[],[f10850])).
% 8.48/2.13  tff(f10850,plain,(
% 8.48/2.13    ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0))) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X3) = iG196(X0,X2,X3,X1))) & ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0))) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X2)),aa(X0,X0,uminus_uminus(X0),X1)) = iG196(X0,X2,X3,X1)))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG196])])).
% 8.48/2.13  tff(f45473,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X2) = iG196(X0,X1,X2,X3)) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0)))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26354])).
% 8.48/2.13  tff(f45470,plain,(
% 8.48/2.13    ( ! [X5 : $tType,X6 : X5,X7 : X5,X4 : X5] : ((aa(X5,$o,aa(X5,fun(X5,$o),ord_less_eq(X5),aa(X5,X5,uminus_uminus(X5),X7)),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4)) = iG197(X5,X4,X6,X7)) | ($true != aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),zero_zero(X5)),X4))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26353])).
% 8.48/2.13  tff(f26353,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : X1,X3 : X1] : ((iG196(X1,X0,X2,X3) = iG197(X1,X0,X2,X3)) | ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),zero_zero(X1)),X0))) & ! [X4 : X5,X5 : $tType,X6 : X5,X7 : X5] : ((aa(X5,$o,aa(X5,fun(X5,$o),ord_less_eq(X5),aa(X5,X5,uminus_uminus(X5),X7)),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4)) = iG197(X5,X4,X6,X7)) | ($true != aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),zero_zero(X5)),X4)))),
% 8.48/2.13    inference(ennf_transformation,[],[f20939])).
% 8.48/2.13  tff(f20939,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : X1,X3 : X1] : (($true != aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),zero_zero(X1)),X0)) => (iG196(X1,X0,X2,X3) = iG197(X1,X0,X2,X3))) & ! [X4 : X5,X5 : $tType,X6 : X5,X7 : X5] : (($true = aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),zero_zero(X5)),X4)) => (aa(X5,$o,aa(X5,fun(X5,$o),ord_less_eq(X5),aa(X5,X5,uminus_uminus(X5),X7)),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4)) = iG197(X5,X4,X6,X7)))),
% 8.48/2.13    inference(flattening,[],[f20938])).
% 8.48/2.13  tff(f20938,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : X1,X3 : X1] : (~($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),zero_zero(X1)),X0)) => (iG196(X1,X0,X2,X3) = iG197(X1,X0,X2,X3))) & ! [X4 : X5,X5 : $tType,X6 : X5,X7 : X5] : (($true = aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),zero_zero(X5)),X4)) => (aa(X5,$o,aa(X5,fun(X5,$o),ord_less_eq(X5),aa(X5,X5,uminus_uminus(X5),X7)),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4)) = iG197(X5,X4,X6,X7)))),
% 8.48/2.13    inference(rectify,[],[f10851])).
% 8.48/2.13  tff(f10851,plain,(
% 8.48/2.13    ! [X2 : X0,X0 : $tType,X3 : X0,X1 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2)) => (iG196(X0,X2,X3,X1) = iG197(X0,X2,X3,X1))) & ! [X2 : X0,X0 : $tType,X3 : X0,X1 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2)) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(X0,X0,uminus_uminus(X0),X1)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X2)) = iG197(X0,X2,X3,X1)))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG197])])).
% 8.48/2.13  tff(f45471,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : X1] : ((iG196(X1,X0,X2,X3) = iG197(X1,X0,X2,X3)) | ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),zero_zero(X1)),X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26353])).
% 8.48/2.13  tff(f45468,plain,(
% 8.48/2.13    ( ! [X4 : $tType,X6 : num,X7 : X4,X5 : X4] : ((aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),aa(X4,X4,uminus_uminus(X4),aa(num,X4,numeral_numeral(X4),X6))),X5)),X7) = iG198(X4,X5,X6,X7)) | ($true != aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),X5),zero_zero(X4)))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26352])).
% 8.48/2.13  tff(f26352,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : num,X3 : X0] : ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X2))) = iG198(X0,X1,X2,X3)) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0)))) & ! [X4 : $tType,X5 : X4,X6 : num,X7 : X4] : ((aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),aa(X4,X4,uminus_uminus(X4),aa(num,X4,numeral_numeral(X4),X6))),X5)),X7) = iG198(X4,X5,X6,X7)) | ($true != aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),X5),zero_zero(X4))))),
% 8.48/2.13    inference(ennf_transformation,[],[f20937])).
% 8.48/2.13  tff(f20937,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : num,X3 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0))) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X2))) = iG198(X0,X1,X2,X3))) & ! [X4 : $tType,X5 : X4,X6 : num,X7 : X4] : (($true = aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),X5),zero_zero(X4))) => (aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),aa(X4,X4,uminus_uminus(X4),aa(num,X4,numeral_numeral(X4),X6))),X5)),X7) = iG198(X4,X5,X6,X7)))),
% 8.48/2.13    inference(flattening,[],[f20936])).
% 8.48/2.13  tff(f20936,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : num,X3 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0))) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X2))) = iG198(X0,X1,X2,X3))) & ! [X4 : $tType,X5 : X4,X6 : num,X7 : X4] : (($true = aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),X5),zero_zero(X4))) => (aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),aa(X4,X4,uminus_uminus(X4),aa(num,X4,numeral_numeral(X4),X6))),X5)),X7) = iG198(X4,X5,X6,X7)))),
% 8.48/2.13    inference(rectify,[],[f10858])).
% 8.48/2.13  tff(f10858,plain,(
% 8.48/2.13    ! [X0 : $tType,X2 : X0,X3 : num,X1 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0))) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X3))) = iG198(X0,X2,X3,X1))) & ! [X0 : $tType,X2 : X0,X3 : num,X1 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0))) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X3))),X2)),X1) = iG198(X0,X2,X3,X1)))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG198])])).
% 8.48/2.13  tff(f45469,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : num,X3 : X0,X1 : X0] : ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X2))) = iG198(X0,X1,X2,X3)) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0)))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26352])).
% 8.48/2.13  tff(f45466,plain,(
% 8.48/2.13    ( ! [X5 : $tType,X6 : num,X7 : X5,X4 : X5] : ((aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),X7),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),aa(X5,X5,uminus_uminus(X5),aa(num,X5,numeral_numeral(X5),X6))),X4)) = iG199(X5,X4,X6,X7)) | ($true != aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),zero_zero(X5)),X4))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26351])).
% 8.48/2.13  tff(f26351,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : num,X3 : X1] : ((iG198(X1,X0,X2,X3) = iG199(X1,X0,X2,X3)) | ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),zero_zero(X1)),X0))) & ! [X4 : X5,X5 : $tType,X6 : num,X7 : X5] : ((aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),X7),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),aa(X5,X5,uminus_uminus(X5),aa(num,X5,numeral_numeral(X5),X6))),X4)) = iG199(X5,X4,X6,X7)) | ($true != aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),zero_zero(X5)),X4)))),
% 8.48/2.13    inference(ennf_transformation,[],[f20935])).
% 8.48/2.13  tff(f20935,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : num,X3 : X1] : (($true != aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),zero_zero(X1)),X0)) => (iG198(X1,X0,X2,X3) = iG199(X1,X0,X2,X3))) & ! [X4 : X5,X5 : $tType,X6 : num,X7 : X5] : (($true = aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),zero_zero(X5)),X4)) => (aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),X7),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),aa(X5,X5,uminus_uminus(X5),aa(num,X5,numeral_numeral(X5),X6))),X4)) = iG199(X5,X4,X6,X7)))),
% 8.48/2.13    inference(flattening,[],[f20934])).
% 8.48/2.13  tff(f20934,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : num,X3 : X1] : (~($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),zero_zero(X1)),X0)) => (iG198(X1,X0,X2,X3) = iG199(X1,X0,X2,X3))) & ! [X4 : X5,X5 : $tType,X6 : num,X7 : X5] : (($true = aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),zero_zero(X5)),X4)) => (aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),X7),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),aa(X5,X5,uminus_uminus(X5),aa(num,X5,numeral_numeral(X5),X6))),X4)) = iG199(X5,X4,X6,X7)))),
% 8.48/2.13    inference(rectify,[],[f10859])).
% 8.48/2.13  tff(f10859,plain,(
% 8.48/2.13    ! [X2 : X0,X0 : $tType,X3 : num,X1 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2)) => (iG198(X0,X2,X3,X1) = iG199(X0,X2,X3,X1))) & ! [X2 : X0,X0 : $tType,X3 : num,X1 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2)) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X3))),X2)) = iG199(X0,X2,X3,X1)))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG199])])).
% 8.48/2.13  tff(f45467,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X2 : num,X3 : X1,X0 : X1] : ((iG198(X1,X0,X2,X3) = iG199(X1,X0,X2,X3)) | ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),zero_zero(X1)),X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26351])).
% 8.48/2.13  tff(f45464,plain,(
% 8.48/2.13    ( ! [X4 : $tType,X6 : num,X7 : X4,X5 : X4] : ((aa(X4,$o,aa(X4,fun(X4,$o),ord_less_eq(X4),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),aa(X4,X4,uminus_uminus(X4),aa(num,X4,numeral_numeral(X4),X6))),X5)),X7) = iG200(X4,X5,X6,X7)) | ($true != aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),X5),zero_zero(X4)))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26350])).
% 8.48/2.13  tff(f26350,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : num,X3 : X0] : ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X2))) = iG200(X0,X1,X2,X3)) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0)))) & ! [X4 : $tType,X5 : X4,X6 : num,X7 : X4] : ((aa(X4,$o,aa(X4,fun(X4,$o),ord_less_eq(X4),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),aa(X4,X4,uminus_uminus(X4),aa(num,X4,numeral_numeral(X4),X6))),X5)),X7) = iG200(X4,X5,X6,X7)) | ($true != aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),X5),zero_zero(X4))))),
% 8.48/2.13    inference(ennf_transformation,[],[f20933])).
% 8.48/2.13  tff(f20933,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : num,X3 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0))) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X2))) = iG200(X0,X1,X2,X3))) & ! [X4 : $tType,X5 : X4,X6 : num,X7 : X4] : (($true = aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),X5),zero_zero(X4))) => (aa(X4,$o,aa(X4,fun(X4,$o),ord_less_eq(X4),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),aa(X4,X4,uminus_uminus(X4),aa(num,X4,numeral_numeral(X4),X6))),X5)),X7) = iG200(X4,X5,X6,X7)))),
% 8.48/2.13    inference(flattening,[],[f20932])).
% 8.48/2.13  tff(f20932,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : num,X3 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0))) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X2))) = iG200(X0,X1,X2,X3))) & ! [X4 : $tType,X5 : X4,X6 : num,X7 : X4] : (($true = aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),X5),zero_zero(X4))) => (aa(X4,$o,aa(X4,fun(X4,$o),ord_less_eq(X4),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),aa(X4,X4,uminus_uminus(X4),aa(num,X4,numeral_numeral(X4),X6))),X5)),X7) = iG200(X4,X5,X6,X7)))),
% 8.48/2.13    inference(rectify,[],[f10862])).
% 8.48/2.13  tff(f10862,plain,(
% 8.48/2.13    ! [X0 : $tType,X2 : X0,X3 : num,X1 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0))) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X3))) = iG200(X0,X2,X3,X1))) & ! [X0 : $tType,X2 : X0,X3 : num,X1 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),zero_zero(X0))) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X3))),X2)),X1) = iG200(X0,X2,X3,X1)))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG200])])).
% 8.48/2.13  tff(f45465,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : num,X3 : X0,X1 : X0] : ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X2))) = iG200(X0,X1,X2,X3)) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0)))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26350])).
% 8.48/2.13  tff(f45462,plain,(
% 8.48/2.13    ( ! [X5 : $tType,X6 : num,X7 : X5,X4 : X5] : ((aa(X5,$o,aa(X5,fun(X5,$o),ord_less_eq(X5),X7),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),aa(X5,X5,uminus_uminus(X5),aa(num,X5,numeral_numeral(X5),X6))),X4)) = iG201(X5,X4,X6,X7)) | ($true != aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),zero_zero(X5)),X4))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26349])).
% 8.48/2.13  tff(f26349,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : num,X3 : X1] : ((iG200(X1,X0,X2,X3) = iG201(X1,X0,X2,X3)) | ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),zero_zero(X1)),X0))) & ! [X4 : X5,X5 : $tType,X6 : num,X7 : X5] : ((aa(X5,$o,aa(X5,fun(X5,$o),ord_less_eq(X5),X7),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),aa(X5,X5,uminus_uminus(X5),aa(num,X5,numeral_numeral(X5),X6))),X4)) = iG201(X5,X4,X6,X7)) | ($true != aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),zero_zero(X5)),X4)))),
% 8.48/2.13    inference(ennf_transformation,[],[f20931])).
% 8.48/2.13  tff(f20931,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : num,X3 : X1] : (($true != aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),zero_zero(X1)),X0)) => (iG200(X1,X0,X2,X3) = iG201(X1,X0,X2,X3))) & ! [X4 : X5,X5 : $tType,X6 : num,X7 : X5] : (($true = aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),zero_zero(X5)),X4)) => (aa(X5,$o,aa(X5,fun(X5,$o),ord_less_eq(X5),X7),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),aa(X5,X5,uminus_uminus(X5),aa(num,X5,numeral_numeral(X5),X6))),X4)) = iG201(X5,X4,X6,X7)))),
% 8.48/2.13    inference(flattening,[],[f20930])).
% 8.48/2.13  tff(f20930,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : num,X3 : X1] : (~($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),zero_zero(X1)),X0)) => (iG200(X1,X0,X2,X3) = iG201(X1,X0,X2,X3))) & ! [X4 : X5,X5 : $tType,X6 : num,X7 : X5] : (($true = aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),zero_zero(X5)),X4)) => (aa(X5,$o,aa(X5,fun(X5,$o),ord_less_eq(X5),X7),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),aa(X5,X5,uminus_uminus(X5),aa(num,X5,numeral_numeral(X5),X6))),X4)) = iG201(X5,X4,X6,X7)))),
% 8.48/2.13    inference(rectify,[],[f10863])).
% 8.48/2.13  tff(f10863,plain,(
% 8.48/2.13    ! [X2 : X0,X0 : $tType,X3 : num,X1 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2)) => (iG200(X0,X2,X3,X1) = iG201(X0,X2,X3,X1))) & ! [X2 : X0,X0 : $tType,X3 : num,X1 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X2)) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X3))),X2)) = iG201(X0,X2,X3,X1)))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG201])])).
% 8.48/2.13  tff(f45463,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X2 : num,X3 : X1,X0 : X1] : ((iG200(X1,X0,X2,X3) = iG201(X1,X0,X2,X3)) | ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),zero_zero(X1)),X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26349])).
% 8.48/2.13  tff(f45460,plain,(
% 8.48/2.13    ( ! [X4 : $tType,X6 : num,X7 : X4,X5 : X4] : ((aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),X7),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),aa(X4,X4,uminus_uminus(X4),aa(num,X4,numeral_numeral(X4),X6))),X5)) = iG202(X4,X5,X6,X7)) | ($true != aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),X5),zero_zero(X4)))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26348])).
% 8.48/2.13  tff(f26348,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : num,X3 : X0] : ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X2))),zero_zero(X0)) = iG202(X0,X1,X2,X3)) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0)))) & ! [X4 : $tType,X5 : X4,X6 : num,X7 : X4] : ((aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),X7),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),aa(X4,X4,uminus_uminus(X4),aa(num,X4,numeral_numeral(X4),X6))),X5)) = iG202(X4,X5,X6,X7)) | ($true != aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),X5),zero_zero(X4))))),
% 8.48/2.13    inference(ennf_transformation,[],[f20929])).
% 8.48/2.13  tff(f20929,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : num,X3 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0))) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X2))),zero_zero(X0)) = iG202(X0,X1,X2,X3))) & ! [X4 : $tType,X5 : X4,X6 : num,X7 : X4] : (($true = aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),X5),zero_zero(X4))) => (aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),X7),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),aa(X4,X4,uminus_uminus(X4),aa(num,X4,numeral_numeral(X4),X6))),X5)) = iG202(X4,X5,X6,X7)))),
% 8.48/2.13    inference(flattening,[],[f20928])).
% 8.48/2.13  tff(f20928,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : num,X3 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0))) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X2))),zero_zero(X0)) = iG202(X0,X1,X2,X3))) & ! [X4 : $tType,X5 : X4,X6 : num,X7 : X4] : (($true = aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),X5),zero_zero(X4))) => (aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),X7),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),aa(X4,X4,uminus_uminus(X4),aa(num,X4,numeral_numeral(X4),X6))),X5)) = iG202(X4,X5,X6,X7)))),
% 8.48/2.13    inference(rectify,[],[f10866])).
% 8.48/2.13  tff(f10866,plain,(
% 8.48/2.13    ! [X0 : $tType,X3 : X0,X1 : num,X2 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),zero_zero(X0))) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X1))),zero_zero(X0)) = iG202(X0,X3,X1,X2))) & ! [X0 : $tType,X3 : X0,X1 : num,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),zero_zero(X0))) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X1))),X3)) = iG202(X0,X3,X1,X2)))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG202])])).
% 8.48/2.13  tff(f45461,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : num,X3 : X0,X1 : X0] : ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X2))),zero_zero(X0)) = iG202(X0,X1,X2,X3)) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0)))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26348])).
% 8.48/2.13  tff(f45458,plain,(
% 8.48/2.13    ( ! [X5 : $tType,X6 : num,X7 : X5,X4 : X5] : ((aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),aa(X5,X5,uminus_uminus(X5),aa(num,X5,numeral_numeral(X5),X6))),X4)),X7) = iG203(X5,X4,X6,X7)) | ($true != aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),zero_zero(X5)),X4))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26347])).
% 8.48/2.13  tff(f26347,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : num,X3 : X1] : ((iG202(X1,X0,X2,X3) = iG203(X1,X0,X2,X3)) | ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),zero_zero(X1)),X0))) & ! [X4 : X5,X5 : $tType,X6 : num,X7 : X5] : ((aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),aa(X5,X5,uminus_uminus(X5),aa(num,X5,numeral_numeral(X5),X6))),X4)),X7) = iG203(X5,X4,X6,X7)) | ($true != aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),zero_zero(X5)),X4)))),
% 8.48/2.13    inference(ennf_transformation,[],[f20927])).
% 8.48/2.13  tff(f20927,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : num,X3 : X1] : (($true != aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),zero_zero(X1)),X0)) => (iG202(X1,X0,X2,X3) = iG203(X1,X0,X2,X3))) & ! [X4 : X5,X5 : $tType,X6 : num,X7 : X5] : (($true = aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),zero_zero(X5)),X4)) => (aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),aa(X5,X5,uminus_uminus(X5),aa(num,X5,numeral_numeral(X5),X6))),X4)),X7) = iG203(X5,X4,X6,X7)))),
% 8.48/2.13    inference(flattening,[],[f20926])).
% 8.48/2.13  tff(f20926,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : num,X3 : X1] : (~($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),zero_zero(X1)),X0)) => (iG202(X1,X0,X2,X3) = iG203(X1,X0,X2,X3))) & ! [X4 : X5,X5 : $tType,X6 : num,X7 : X5] : (($true = aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),zero_zero(X5)),X4)) => (aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),aa(X5,X5,uminus_uminus(X5),aa(num,X5,numeral_numeral(X5),X6))),X4)),X7) = iG203(X5,X4,X6,X7)))),
% 8.48/2.13    inference(rectify,[],[f10867])).
% 8.48/2.13  tff(f10867,plain,(
% 8.48/2.13    ! [X3 : X0,X0 : $tType,X1 : num,X2 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X3)) => (iG202(X0,X3,X1,X2) = iG203(X0,X3,X1,X2))) & ! [X3 : X0,X0 : $tType,X1 : num,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X3)) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X1))),X3)),X2) = iG203(X0,X3,X1,X2)))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG203])])).
% 8.48/2.13  tff(f45459,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X2 : num,X3 : X1,X0 : X1] : ((iG202(X1,X0,X2,X3) = iG203(X1,X0,X2,X3)) | ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),zero_zero(X1)),X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26347])).
% 8.48/2.13  tff(f45456,plain,(
% 8.48/2.13    ( ! [X4 : $tType,X6 : num,X7 : X4,X5 : X4] : ((aa(X4,$o,aa(X4,fun(X4,$o),ord_less_eq(X4),X7),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),aa(X4,X4,uminus_uminus(X4),aa(num,X4,numeral_numeral(X4),X6))),X5)) = iG204(X4,X5,X6,X7)) | ($true != aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),X5),zero_zero(X4)))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26346])).
% 8.48/2.13  tff(f26346,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : num,X3 : X0] : ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X2))),zero_zero(X0)) = iG204(X0,X1,X2,X3)) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0)))) & ! [X4 : $tType,X5 : X4,X6 : num,X7 : X4] : ((aa(X4,$o,aa(X4,fun(X4,$o),ord_less_eq(X4),X7),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),aa(X4,X4,uminus_uminus(X4),aa(num,X4,numeral_numeral(X4),X6))),X5)) = iG204(X4,X5,X6,X7)) | ($true != aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),X5),zero_zero(X4))))),
% 8.48/2.13    inference(ennf_transformation,[],[f20925])).
% 8.48/2.13  tff(f20925,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : num,X3 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0))) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X2))),zero_zero(X0)) = iG204(X0,X1,X2,X3))) & ! [X4 : $tType,X5 : X4,X6 : num,X7 : X4] : (($true = aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),X5),zero_zero(X4))) => (aa(X4,$o,aa(X4,fun(X4,$o),ord_less_eq(X4),X7),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),aa(X4,X4,uminus_uminus(X4),aa(num,X4,numeral_numeral(X4),X6))),X5)) = iG204(X4,X5,X6,X7)))),
% 8.48/2.13    inference(flattening,[],[f20924])).
% 8.48/2.13  tff(f20924,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : num,X3 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0))) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X2))),zero_zero(X0)) = iG204(X0,X1,X2,X3))) & ! [X4 : $tType,X5 : X4,X6 : num,X7 : X4] : (($true = aa(X4,$o,aa(X4,fun(X4,$o),ord_less(X4),X5),zero_zero(X4))) => (aa(X4,$o,aa(X4,fun(X4,$o),ord_less_eq(X4),X7),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),aa(X4,X4,uminus_uminus(X4),aa(num,X4,numeral_numeral(X4),X6))),X5)) = iG204(X4,X5,X6,X7)))),
% 8.48/2.13    inference(rectify,[],[f10870])).
% 8.48/2.13  tff(f10870,plain,(
% 8.48/2.13    ! [X0 : $tType,X3 : X0,X1 : num,X2 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),zero_zero(X0))) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X1))),zero_zero(X0)) = iG204(X0,X3,X1,X2))) & ! [X0 : $tType,X3 : X0,X1 : num,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X3),zero_zero(X0))) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X1))),X3)) = iG204(X0,X3,X1,X2)))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG204])])).
% 8.48/2.13  tff(f45457,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : num,X3 : X0,X1 : X0] : ((aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X2))),zero_zero(X0)) = iG204(X0,X1,X2,X3)) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0)))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26346])).
% 8.48/2.13  tff(f45454,plain,(
% 8.48/2.13    ( ! [X5 : $tType,X6 : num,X7 : X5,X4 : X5] : ((aa(X5,$o,aa(X5,fun(X5,$o),ord_less_eq(X5),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),aa(X5,X5,uminus_uminus(X5),aa(num,X5,numeral_numeral(X5),X6))),X4)),X7) = iG205(X5,X4,X6,X7)) | ($true != aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),zero_zero(X5)),X4))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26345])).
% 8.48/2.13  tff(f26345,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : num,X3 : X1] : ((iG204(X1,X0,X2,X3) = iG205(X1,X0,X2,X3)) | ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),zero_zero(X1)),X0))) & ! [X4 : X5,X5 : $tType,X6 : num,X7 : X5] : ((aa(X5,$o,aa(X5,fun(X5,$o),ord_less_eq(X5),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),aa(X5,X5,uminus_uminus(X5),aa(num,X5,numeral_numeral(X5),X6))),X4)),X7) = iG205(X5,X4,X6,X7)) | ($true != aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),zero_zero(X5)),X4)))),
% 8.48/2.13    inference(ennf_transformation,[],[f20923])).
% 8.48/2.13  tff(f20923,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : num,X3 : X1] : (($true != aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),zero_zero(X1)),X0)) => (iG204(X1,X0,X2,X3) = iG205(X1,X0,X2,X3))) & ! [X4 : X5,X5 : $tType,X6 : num,X7 : X5] : (($true = aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),zero_zero(X5)),X4)) => (aa(X5,$o,aa(X5,fun(X5,$o),ord_less_eq(X5),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),aa(X5,X5,uminus_uminus(X5),aa(num,X5,numeral_numeral(X5),X6))),X4)),X7) = iG205(X5,X4,X6,X7)))),
% 8.48/2.13    inference(flattening,[],[f20922])).
% 8.48/2.13  tff(f20922,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : num,X3 : X1] : (~($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),zero_zero(X1)),X0)) => (iG204(X1,X0,X2,X3) = iG205(X1,X0,X2,X3))) & ! [X4 : X5,X5 : $tType,X6 : num,X7 : X5] : (($true = aa(X5,$o,aa(X5,fun(X5,$o),ord_less(X5),zero_zero(X5)),X4)) => (aa(X5,$o,aa(X5,fun(X5,$o),ord_less_eq(X5),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),aa(X5,X5,uminus_uminus(X5),aa(num,X5,numeral_numeral(X5),X6))),X4)),X7) = iG205(X5,X4,X6,X7)))),
% 8.48/2.13    inference(rectify,[],[f10871])).
% 8.48/2.13  tff(f10871,plain,(
% 8.48/2.13    ! [X3 : X0,X0 : $tType,X1 : num,X2 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X3)) => (iG204(X0,X3,X1,X2) = iG205(X0,X3,X1,X2))) & ! [X3 : X0,X0 : $tType,X1 : num,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X3)) => (aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X1))),X3)),X2) = iG205(X0,X3,X1,X2)))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG205])])).
% 8.48/2.13  tff(f45455,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X2 : num,X3 : X1,X0 : X1] : ((iG204(X1,X0,X2,X3) = iG205(X1,X0,X2,X3)) | ($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less(X1),zero_zero(X1)),X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26345])).
% 8.48/2.13  tff(f45452,plain,(
% 8.48/2.13    ( ! [X5 : $tType,X8 : X5,X6 : X5,X9 : X5,X7 : X5] : (set_or1337092689740270186AtMost(X5,aa(X5,X5,aa(X5,fun(X5,X5),minus_minus(X5),divide_divide(X5,X8,X6)),X7),aa(X5,X5,aa(X5,fun(X5,X5),minus_minus(X5),divide_divide(X5,X9,X6)),X7)) = iG206(X5,X6,X7,X8,X9) | ($true != aa(X5,$o,aa(X5,fun(X5,$o),ord_less_eq(X5),zero_zero(X5)),X6))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26344])).
% 8.48/2.13  tff(f26344,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0,X4 : X0] : (set_or1337092689740270186AtMost(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),divide_divide(X0,X4,X1)),X2),aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),divide_divide(X0,X3,X1)),X2)) = iG206(X0,X1,X2,X3,X4) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X1))) & ! [X5 : $tType,X6 : X5,X7 : X5,X8 : X5,X9 : X5] : (set_or1337092689740270186AtMost(X5,aa(X5,X5,aa(X5,fun(X5,X5),minus_minus(X5),divide_divide(X5,X8,X6)),X7),aa(X5,X5,aa(X5,fun(X5,X5),minus_minus(X5),divide_divide(X5,X9,X6)),X7)) = iG206(X5,X6,X7,X8,X9) | ($true != aa(X5,$o,aa(X5,fun(X5,$o),ord_less_eq(X5),zero_zero(X5)),X6)))),
% 8.48/2.13    inference(ennf_transformation,[],[f20921])).
% 8.48/2.13  tff(f20921,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0,X4 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X1)) => set_or1337092689740270186AtMost(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),divide_divide(X0,X4,X1)),X2),aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),divide_divide(X0,X3,X1)),X2)) = iG206(X0,X1,X2,X3,X4)) & ! [X5 : $tType,X6 : X5,X7 : X5,X8 : X5,X9 : X5] : (($true = aa(X5,$o,aa(X5,fun(X5,$o),ord_less_eq(X5),zero_zero(X5)),X6)) => set_or1337092689740270186AtMost(X5,aa(X5,X5,aa(X5,fun(X5,X5),minus_minus(X5),divide_divide(X5,X8,X6)),X7),aa(X5,X5,aa(X5,fun(X5,X5),minus_minus(X5),divide_divide(X5,X9,X6)),X7)) = iG206(X5,X6,X7,X8,X9))),
% 8.48/2.13    inference(flattening,[],[f20920])).
% 8.48/2.13  tff(f20920,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0,X4 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X1)) => set_or1337092689740270186AtMost(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),divide_divide(X0,X4,X1)),X2),aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),divide_divide(X0,X3,X1)),X2)) = iG206(X0,X1,X2,X3,X4)) & ! [X5 : $tType,X6 : X5,X7 : X5,X8 : X5,X9 : X5] : (($true = aa(X5,$o,aa(X5,fun(X5,$o),ord_less_eq(X5),zero_zero(X5)),X6)) => set_or1337092689740270186AtMost(X5,aa(X5,X5,aa(X5,fun(X5,X5),minus_minus(X5),divide_divide(X5,X8,X6)),X7),aa(X5,X5,aa(X5,fun(X5,X5),minus_minus(X5),divide_divide(X5,X9,X6)),X7)) = iG206(X5,X6,X7,X8,X9))),
% 8.48/2.13    inference(rectify,[],[f10878])).
% 8.48/2.13  tff(f10878,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0,X4 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X1)) => set_or1337092689740270186AtMost(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),divide_divide(X0,X4,X1)),X2),aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),divide_divide(X0,X3,X1)),X2)) = iG206(X0,X1,X2,X3,X4)) & ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0,X4 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X1)) => set_or1337092689740270186AtMost(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),divide_divide(X0,X3,X1)),X2),aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),divide_divide(X0,X4,X1)),X2)) = iG206(X0,X1,X2,X3,X4))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG206])])).
% 8.48/2.13  tff(f45453,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0,X4 : X0] : (set_or1337092689740270186AtMost(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),divide_divide(X0,X4,X1)),X2),aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),divide_divide(X0,X3,X1)),X2)) = iG206(X0,X1,X2,X3,X4) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X1))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26344])).
% 8.48/2.13  tff(f45450,plain,(
% 8.48/2.13    ( ! [X5 : $tType,X8 : X5,X6 : X5,X9 : X5,X7 : X5] : (bot_bot(set(X5)) = iG207(X5,X6,X7,X8,X9) | bot_bot(set(X5)) != set_or1337092689740270186AtMost(X5,X7,X6)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26343])).
% 8.48/2.13  tff(f26343,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0,X4 : X0] : (iG206(X0,X3,X4,X2,X1) = iG207(X0,X1,X2,X3,X4) | bot_bot(set(X0)) = set_or1337092689740270186AtMost(X0,X2,X1)) & ! [X5 : $tType,X6 : X5,X7 : X5,X8 : X5,X9 : X5] : (bot_bot(set(X5)) = iG207(X5,X6,X7,X8,X9) | bot_bot(set(X5)) != set_or1337092689740270186AtMost(X5,X7,X6))),
% 8.48/2.13    inference(ennf_transformation,[],[f20919])).
% 8.48/2.13  tff(f20919,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0,X4 : X0] : (bot_bot(set(X0)) != set_or1337092689740270186AtMost(X0,X2,X1) => iG206(X0,X3,X4,X2,X1) = iG207(X0,X1,X2,X3,X4)) & ! [X5 : $tType,X6 : X5,X7 : X5,X8 : X5,X9 : X5] : (bot_bot(set(X5)) = set_or1337092689740270186AtMost(X5,X7,X6) => bot_bot(set(X5)) = iG207(X5,X6,X7,X8,X9))),
% 8.48/2.13    inference(flattening,[],[f20918])).
% 8.48/2.13  tff(f20918,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0,X4 : X0] : (~bot_bot(set(X0)) = set_or1337092689740270186AtMost(X0,X2,X1) => iG206(X0,X3,X4,X2,X1) = iG207(X0,X1,X2,X3,X4)) & ! [X5 : $tType,X6 : X5,X7 : X5,X8 : X5,X9 : X5] : (bot_bot(set(X5)) = set_or1337092689740270186AtMost(X5,X7,X6) => bot_bot(set(X5)) = iG207(X5,X6,X7,X8,X9))),
% 8.48/2.13    inference(rectify,[],[f10879])).
% 8.48/2.13  tff(f10879,plain,(
% 8.48/2.13    ! [X0 : $tType,X4 : X0,X3 : X0,X1 : X0,X2 : X0] : (~bot_bot(set(X0)) = set_or1337092689740270186AtMost(X0,X3,X4) => iG206(X0,X1,X2,X3,X4) = iG207(X0,X4,X3,X1,X2)) & ! [X0 : $tType,X4 : X0,X3 : X0,X1 : X0,X2 : X0] : (bot_bot(set(X0)) = set_or1337092689740270186AtMost(X0,X3,X4) => bot_bot(set(X0)) = iG207(X0,X4,X3,X1,X2))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG207])])).
% 8.48/2.13  tff(f45451,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0,X4 : X0] : (iG206(X0,X3,X4,X2,X1) = iG207(X0,X1,X2,X3,X4) | bot_bot(set(X0)) = set_or1337092689740270186AtMost(X0,X2,X1)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26343])).
% 8.48/2.13  tff(f45448,plain,(
% 8.48/2.13    ( ! [X5 : $tType,X8 : X5,X6 : X5,X9 : X5,X7 : X5] : (set_or1337092689740270186AtMost(X5,aa(X5,X5,aa(X5,fun(X5,X5),plus_plus(X5),divide_divide(X5,X8,X6)),X7),aa(X5,X5,aa(X5,fun(X5,X5),plus_plus(X5),divide_divide(X5,X9,X6)),X7)) = iG208(X5,X6,X7,X8,X9) | ($true != aa(X5,$o,aa(X5,fun(X5,$o),ord_less_eq(X5),zero_zero(X5)),X6))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26342])).
% 8.48/2.13  tff(f26342,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0,X4 : X0] : (set_or1337092689740270186AtMost(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),divide_divide(X0,X4,X1)),X2),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),divide_divide(X0,X3,X1)),X2)) = iG208(X0,X1,X2,X3,X4) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X1))) & ! [X5 : $tType,X6 : X5,X7 : X5,X8 : X5,X9 : X5] : (set_or1337092689740270186AtMost(X5,aa(X5,X5,aa(X5,fun(X5,X5),plus_plus(X5),divide_divide(X5,X8,X6)),X7),aa(X5,X5,aa(X5,fun(X5,X5),plus_plus(X5),divide_divide(X5,X9,X6)),X7)) = iG208(X5,X6,X7,X8,X9) | ($true != aa(X5,$o,aa(X5,fun(X5,$o),ord_less_eq(X5),zero_zero(X5)),X6)))),
% 8.48/2.13    inference(ennf_transformation,[],[f20917])).
% 8.48/2.13  tff(f20917,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0,X4 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X1)) => set_or1337092689740270186AtMost(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),divide_divide(X0,X4,X1)),X2),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),divide_divide(X0,X3,X1)),X2)) = iG208(X0,X1,X2,X3,X4)) & ! [X5 : $tType,X6 : X5,X7 : X5,X8 : X5,X9 : X5] : (($true = aa(X5,$o,aa(X5,fun(X5,$o),ord_less_eq(X5),zero_zero(X5)),X6)) => set_or1337092689740270186AtMost(X5,aa(X5,X5,aa(X5,fun(X5,X5),plus_plus(X5),divide_divide(X5,X8,X6)),X7),aa(X5,X5,aa(X5,fun(X5,X5),plus_plus(X5),divide_divide(X5,X9,X6)),X7)) = iG208(X5,X6,X7,X8,X9))),
% 8.48/2.13    inference(flattening,[],[f20916])).
% 8.48/2.13  tff(f20916,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0,X4 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X1)) => set_or1337092689740270186AtMost(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),divide_divide(X0,X4,X1)),X2),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),divide_divide(X0,X3,X1)),X2)) = iG208(X0,X1,X2,X3,X4)) & ! [X5 : $tType,X6 : X5,X7 : X5,X8 : X5,X9 : X5] : (($true = aa(X5,$o,aa(X5,fun(X5,$o),ord_less_eq(X5),zero_zero(X5)),X6)) => set_or1337092689740270186AtMost(X5,aa(X5,X5,aa(X5,fun(X5,X5),plus_plus(X5),divide_divide(X5,X8,X6)),X7),aa(X5,X5,aa(X5,fun(X5,X5),plus_plus(X5),divide_divide(X5,X9,X6)),X7)) = iG208(X5,X6,X7,X8,X9))),
% 8.48/2.13    inference(rectify,[],[f10882])).
% 8.48/2.13  tff(f10882,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0,X4 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X1)) => set_or1337092689740270186AtMost(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),divide_divide(X0,X4,X1)),X2),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),divide_divide(X0,X3,X1)),X2)) = iG208(X0,X1,X2,X3,X4)) & ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0,X4 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X1)) => set_or1337092689740270186AtMost(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),divide_divide(X0,X3,X1)),X2),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),divide_divide(X0,X4,X1)),X2)) = iG208(X0,X1,X2,X3,X4))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG208])])).
% 8.48/2.13  tff(f45449,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0,X4 : X0] : (set_or1337092689740270186AtMost(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),divide_divide(X0,X4,X1)),X2),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),divide_divide(X0,X3,X1)),X2)) = iG208(X0,X1,X2,X3,X4) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X1))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26342])).
% 8.48/2.13  tff(f45446,plain,(
% 8.48/2.13    ( ! [X5 : $tType,X8 : X5,X6 : X5,X9 : X5,X7 : X5] : (bot_bot(set(X5)) = iG209(X5,X6,X7,X8,X9) | bot_bot(set(X5)) != set_or1337092689740270186AtMost(X5,X7,X6)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26341])).
% 8.48/2.13  tff(f26341,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0,X4 : X0] : (iG208(X0,X3,X4,X2,X1) = iG209(X0,X1,X2,X3,X4) | bot_bot(set(X0)) = set_or1337092689740270186AtMost(X0,X2,X1)) & ! [X5 : $tType,X6 : X5,X7 : X5,X8 : X5,X9 : X5] : (bot_bot(set(X5)) = iG209(X5,X6,X7,X8,X9) | bot_bot(set(X5)) != set_or1337092689740270186AtMost(X5,X7,X6))),
% 8.48/2.13    inference(ennf_transformation,[],[f20915])).
% 8.48/2.13  tff(f20915,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0,X4 : X0] : (bot_bot(set(X0)) != set_or1337092689740270186AtMost(X0,X2,X1) => iG208(X0,X3,X4,X2,X1) = iG209(X0,X1,X2,X3,X4)) & ! [X5 : $tType,X6 : X5,X7 : X5,X8 : X5,X9 : X5] : (bot_bot(set(X5)) = set_or1337092689740270186AtMost(X5,X7,X6) => bot_bot(set(X5)) = iG209(X5,X6,X7,X8,X9))),
% 8.48/2.13    inference(flattening,[],[f20914])).
% 8.48/2.13  tff(f20914,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0,X4 : X0] : (~bot_bot(set(X0)) = set_or1337092689740270186AtMost(X0,X2,X1) => iG208(X0,X3,X4,X2,X1) = iG209(X0,X1,X2,X3,X4)) & ! [X5 : $tType,X6 : X5,X7 : X5,X8 : X5,X9 : X5] : (bot_bot(set(X5)) = set_or1337092689740270186AtMost(X5,X7,X6) => bot_bot(set(X5)) = iG209(X5,X6,X7,X8,X9))),
% 8.48/2.13    inference(rectify,[],[f10883])).
% 8.48/2.13  tff(f10883,plain,(
% 8.48/2.13    ! [X0 : $tType,X4 : X0,X3 : X0,X1 : X0,X2 : X0] : (~bot_bot(set(X0)) = set_or1337092689740270186AtMost(X0,X3,X4) => iG208(X0,X1,X2,X3,X4) = iG209(X0,X4,X3,X1,X2)) & ! [X0 : $tType,X4 : X0,X3 : X0,X1 : X0,X2 : X0] : (bot_bot(set(X0)) = set_or1337092689740270186AtMost(X0,X3,X4) => bot_bot(set(X0)) = iG209(X0,X4,X3,X1,X2))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG209])])).
% 8.48/2.13  tff(f45447,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0,X4 : X0] : (iG208(X0,X3,X4,X2,X1) = iG209(X0,X1,X2,X3,X4) | bot_bot(set(X0)) = set_or1337092689740270186AtMost(X0,X2,X1)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26341])).
% 8.48/2.13  tff(f45444,plain,(
% 8.48/2.13    ( ! [X5 : $tType,X8 : X5,X6 : X5,X9 : X5,X7 : X5] : (set_or1337092689740270186AtMost(X5,aa(X5,X5,aa(X5,fun(X5,X5),minus_minus(X5),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X8)),X7),aa(X5,X5,aa(X5,fun(X5,X5),minus_minus(X5),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X9)),X7)) = iG210(X5,X6,X7,X8,X9) | ($true != aa(X5,$o,aa(X5,fun(X5,$o),ord_less_eq(X5),zero_zero(X5)),X6))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26340])).
% 8.48/2.13  tff(f26340,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0,X4 : X0] : (set_or1337092689740270186AtMost(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X4)),X2),aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3)),X2)) = iG210(X0,X1,X2,X3,X4) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X1))) & ! [X5 : $tType,X6 : X5,X7 : X5,X8 : X5,X9 : X5] : (set_or1337092689740270186AtMost(X5,aa(X5,X5,aa(X5,fun(X5,X5),minus_minus(X5),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X8)),X7),aa(X5,X5,aa(X5,fun(X5,X5),minus_minus(X5),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X9)),X7)) = iG210(X5,X6,X7,X8,X9) | ($true != aa(X5,$o,aa(X5,fun(X5,$o),ord_less_eq(X5),zero_zero(X5)),X6)))),
% 8.48/2.13    inference(ennf_transformation,[],[f20913])).
% 8.48/2.13  tff(f20913,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0,X4 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X1)) => set_or1337092689740270186AtMost(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X4)),X2),aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3)),X2)) = iG210(X0,X1,X2,X3,X4)) & ! [X5 : $tType,X6 : X5,X7 : X5,X8 : X5,X9 : X5] : (($true = aa(X5,$o,aa(X5,fun(X5,$o),ord_less_eq(X5),zero_zero(X5)),X6)) => set_or1337092689740270186AtMost(X5,aa(X5,X5,aa(X5,fun(X5,X5),minus_minus(X5),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X8)),X7),aa(X5,X5,aa(X5,fun(X5,X5),minus_minus(X5),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X9)),X7)) = iG210(X5,X6,X7,X8,X9))),
% 8.48/2.13    inference(flattening,[],[f20912])).
% 8.48/2.13  tff(f20912,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0,X4 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X1)) => set_or1337092689740270186AtMost(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X4)),X2),aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3)),X2)) = iG210(X0,X1,X2,X3,X4)) & ! [X5 : $tType,X6 : X5,X7 : X5,X8 : X5,X9 : X5] : (($true = aa(X5,$o,aa(X5,fun(X5,$o),ord_less_eq(X5),zero_zero(X5)),X6)) => set_or1337092689740270186AtMost(X5,aa(X5,X5,aa(X5,fun(X5,X5),minus_minus(X5),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X8)),X7),aa(X5,X5,aa(X5,fun(X5,X5),minus_minus(X5),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X9)),X7)) = iG210(X5,X6,X7,X8,X9))),
% 8.48/2.13    inference(rectify,[],[f10886])).
% 8.48/2.13  tff(f10886,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0,X4 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X1)) => set_or1337092689740270186AtMost(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X4)),X2),aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3)),X2)) = iG210(X0,X1,X2,X3,X4)) & ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0,X4 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X1)) => set_or1337092689740270186AtMost(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3)),X2),aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X4)),X2)) = iG210(X0,X1,X2,X3,X4))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG210])])).
% 8.48/2.13  tff(f45445,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0,X4 : X0] : (set_or1337092689740270186AtMost(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X4)),X2),aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3)),X2)) = iG210(X0,X1,X2,X3,X4) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X1))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26340])).
% 8.48/2.13  tff(f45442,plain,(
% 8.48/2.13    ( ! [X5 : $tType,X8 : X5,X6 : X5,X9 : X5,X7 : X5] : (bot_bot(set(X5)) = iG211(X5,X6,X7,X8,X9) | bot_bot(set(X5)) != set_or1337092689740270186AtMost(X5,X7,X6)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26339])).
% 8.48/2.13  tff(f26339,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0,X4 : X0] : (iG210(X0,X3,X4,X2,X1) = iG211(X0,X1,X2,X3,X4) | bot_bot(set(X0)) = set_or1337092689740270186AtMost(X0,X2,X1)) & ! [X5 : $tType,X6 : X5,X7 : X5,X8 : X5,X9 : X5] : (bot_bot(set(X5)) = iG211(X5,X6,X7,X8,X9) | bot_bot(set(X5)) != set_or1337092689740270186AtMost(X5,X7,X6))),
% 8.48/2.13    inference(ennf_transformation,[],[f20911])).
% 8.48/2.13  tff(f20911,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0,X4 : X0] : (bot_bot(set(X0)) != set_or1337092689740270186AtMost(X0,X2,X1) => iG210(X0,X3,X4,X2,X1) = iG211(X0,X1,X2,X3,X4)) & ! [X5 : $tType,X6 : X5,X7 : X5,X8 : X5,X9 : X5] : (bot_bot(set(X5)) = set_or1337092689740270186AtMost(X5,X7,X6) => bot_bot(set(X5)) = iG211(X5,X6,X7,X8,X9))),
% 8.48/2.13    inference(flattening,[],[f20910])).
% 8.48/2.13  tff(f20910,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0,X4 : X0] : (~bot_bot(set(X0)) = set_or1337092689740270186AtMost(X0,X2,X1) => iG210(X0,X3,X4,X2,X1) = iG211(X0,X1,X2,X3,X4)) & ! [X5 : $tType,X6 : X5,X7 : X5,X8 : X5,X9 : X5] : (bot_bot(set(X5)) = set_or1337092689740270186AtMost(X5,X7,X6) => bot_bot(set(X5)) = iG211(X5,X6,X7,X8,X9))),
% 8.48/2.13    inference(rectify,[],[f10887])).
% 8.48/2.13  tff(f10887,plain,(
% 8.48/2.13    ! [X0 : $tType,X4 : X0,X3 : X0,X1 : X0,X2 : X0] : (~bot_bot(set(X0)) = set_or1337092689740270186AtMost(X0,X3,X4) => iG210(X0,X1,X2,X3,X4) = iG211(X0,X4,X3,X1,X2)) & ! [X0 : $tType,X4 : X0,X3 : X0,X1 : X0,X2 : X0] : (bot_bot(set(X0)) = set_or1337092689740270186AtMost(X0,X3,X4) => bot_bot(set(X0)) = iG211(X0,X4,X3,X1,X2))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG211])])).
% 8.48/2.13  tff(f45443,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0,X4 : X0] : (iG210(X0,X3,X4,X2,X1) = iG211(X0,X1,X2,X3,X4) | bot_bot(set(X0)) = set_or1337092689740270186AtMost(X0,X2,X1)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26339])).
% 8.48/2.13  tff(f45440,plain,(
% 8.48/2.13    ( ! [X5 : $tType,X8 : X5,X6 : X5,X9 : X5,X7 : X5] : (set_or1337092689740270186AtMost(X5,aa(X5,X5,aa(X5,fun(X5,X5),plus_plus(X5),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X8)),X7),aa(X5,X5,aa(X5,fun(X5,X5),plus_plus(X5),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X9)),X7)) = iG212(X5,X6,X7,X8,X9) | ($true != aa(X5,$o,aa(X5,fun(X5,$o),ord_less_eq(X5),zero_zero(X5)),X6))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26338])).
% 8.48/2.13  tff(f26338,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0,X4 : X0] : (set_or1337092689740270186AtMost(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X4)),X2),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3)),X2)) = iG212(X0,X1,X2,X3,X4) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X1))) & ! [X5 : $tType,X6 : X5,X7 : X5,X8 : X5,X9 : X5] : (set_or1337092689740270186AtMost(X5,aa(X5,X5,aa(X5,fun(X5,X5),plus_plus(X5),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X8)),X7),aa(X5,X5,aa(X5,fun(X5,X5),plus_plus(X5),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X9)),X7)) = iG212(X5,X6,X7,X8,X9) | ($true != aa(X5,$o,aa(X5,fun(X5,$o),ord_less_eq(X5),zero_zero(X5)),X6)))),
% 8.48/2.13    inference(ennf_transformation,[],[f20909])).
% 8.48/2.13  tff(f20909,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0,X4 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X1)) => set_or1337092689740270186AtMost(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X4)),X2),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3)),X2)) = iG212(X0,X1,X2,X3,X4)) & ! [X5 : $tType,X6 : X5,X7 : X5,X8 : X5,X9 : X5] : (($true = aa(X5,$o,aa(X5,fun(X5,$o),ord_less_eq(X5),zero_zero(X5)),X6)) => set_or1337092689740270186AtMost(X5,aa(X5,X5,aa(X5,fun(X5,X5),plus_plus(X5),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X8)),X7),aa(X5,X5,aa(X5,fun(X5,X5),plus_plus(X5),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X9)),X7)) = iG212(X5,X6,X7,X8,X9))),
% 8.48/2.13    inference(flattening,[],[f20908])).
% 8.48/2.13  tff(f20908,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0,X4 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X1)) => set_or1337092689740270186AtMost(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X4)),X2),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3)),X2)) = iG212(X0,X1,X2,X3,X4)) & ! [X5 : $tType,X6 : X5,X7 : X5,X8 : X5,X9 : X5] : (($true = aa(X5,$o,aa(X5,fun(X5,$o),ord_less_eq(X5),zero_zero(X5)),X6)) => set_or1337092689740270186AtMost(X5,aa(X5,X5,aa(X5,fun(X5,X5),plus_plus(X5),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X8)),X7),aa(X5,X5,aa(X5,fun(X5,X5),plus_plus(X5),aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X9)),X7)) = iG212(X5,X6,X7,X8,X9))),
% 8.48/2.13    inference(rectify,[],[f10890])).
% 8.48/2.13  tff(f10890,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0,X4 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X1)) => set_or1337092689740270186AtMost(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X4)),X2),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3)),X2)) = iG212(X0,X1,X2,X3,X4)) & ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0,X4 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X1)) => set_or1337092689740270186AtMost(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3)),X2),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X4)),X2)) = iG212(X0,X1,X2,X3,X4))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG212])])).
% 8.48/2.13  tff(f45441,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0,X4 : X0] : (set_or1337092689740270186AtMost(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X4)),X2),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3)),X2)) = iG212(X0,X1,X2,X3,X4) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),zero_zero(X0)),X1))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26338])).
% 8.48/2.13  tff(f45438,plain,(
% 8.48/2.13    ( ! [X5 : $tType,X8 : X5,X6 : X5,X9 : X5,X7 : X5] : (bot_bot(set(X5)) = iG213(X5,X6,X7,X8,X9) | bot_bot(set(X5)) != set_or1337092689740270186AtMost(X5,X7,X6)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26337])).
% 8.48/2.13  tff(f26337,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0,X4 : X0] : (iG212(X0,X3,X4,X2,X1) = iG213(X0,X1,X2,X3,X4) | bot_bot(set(X0)) = set_or1337092689740270186AtMost(X0,X2,X1)) & ! [X5 : $tType,X6 : X5,X7 : X5,X8 : X5,X9 : X5] : (bot_bot(set(X5)) = iG213(X5,X6,X7,X8,X9) | bot_bot(set(X5)) != set_or1337092689740270186AtMost(X5,X7,X6))),
% 8.48/2.13    inference(ennf_transformation,[],[f20907])).
% 8.48/2.13  tff(f20907,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0,X4 : X0] : (bot_bot(set(X0)) != set_or1337092689740270186AtMost(X0,X2,X1) => iG212(X0,X3,X4,X2,X1) = iG213(X0,X1,X2,X3,X4)) & ! [X5 : $tType,X6 : X5,X7 : X5,X8 : X5,X9 : X5] : (bot_bot(set(X5)) = set_or1337092689740270186AtMost(X5,X7,X6) => bot_bot(set(X5)) = iG213(X5,X6,X7,X8,X9))),
% 8.48/2.13    inference(flattening,[],[f20906])).
% 8.48/2.13  tff(f20906,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0,X4 : X0] : (~bot_bot(set(X0)) = set_or1337092689740270186AtMost(X0,X2,X1) => iG212(X0,X3,X4,X2,X1) = iG213(X0,X1,X2,X3,X4)) & ! [X5 : $tType,X6 : X5,X7 : X5,X8 : X5,X9 : X5] : (bot_bot(set(X5)) = set_or1337092689740270186AtMost(X5,X7,X6) => bot_bot(set(X5)) = iG213(X5,X6,X7,X8,X9))),
% 8.48/2.13    inference(rectify,[],[f10891])).
% 8.48/2.13  tff(f10891,plain,(
% 8.48/2.13    ! [X0 : $tType,X4 : X0,X3 : X0,X1 : X0,X2 : X0] : (~bot_bot(set(X0)) = set_or1337092689740270186AtMost(X0,X3,X4) => iG212(X0,X1,X2,X3,X4) = iG213(X0,X4,X3,X1,X2)) & ! [X0 : $tType,X4 : X0,X3 : X0,X1 : X0,X2 : X0] : (bot_bot(set(X0)) = set_or1337092689740270186AtMost(X0,X3,X4) => bot_bot(set(X0)) = iG213(X0,X4,X3,X1,X2))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG213])])).
% 8.48/2.13  tff(f45439,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0,X4 : X0] : (iG212(X0,X3,X4,X2,X1) = iG213(X0,X1,X2,X3,X4) | bot_bot(set(X0)) = set_or1337092689740270186AtMost(X0,X2,X1)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26337])).
% 8.48/2.13  tff(f61637,plain,(
% 8.48/2.13    ( ! [X3 : $tType] : (zero_zero(real) = iG214(X3,zero_zero(X3))) )),
% 8.48/2.13    inference(equality_resolution,[],[f45436])).
% 8.48/2.13  tff(f45436,plain,(
% 8.48/2.13    ( ! [X3 : $tType,X2 : X3] : (zero_zero(real) = iG214(X3,X2) | zero_zero(X3) != X2) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26336])).
% 8.48/2.13  tff(f26336,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType] : (one_one(real) = iG214(X1,X0) | zero_zero(X1) = X0) & ! [X2 : X3,X3 : $tType] : (zero_zero(real) = iG214(X3,X2) | zero_zero(X3) != X2)),
% 8.48/2.13    inference(ennf_transformation,[],[f20905])).
% 8.48/2.13  tff(f20905,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType] : (zero_zero(X1) != X0 => one_one(real) = iG214(X1,X0)) & ! [X2 : X3,X3 : $tType] : (zero_zero(X3) = X2 => zero_zero(real) = iG214(X3,X2))),
% 8.48/2.13    inference(flattening,[],[f20904])).
% 8.48/2.13  tff(f20904,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType] : (~zero_zero(X1) = X0 => one_one(real) = iG214(X1,X0)) & ! [X2 : X3,X3 : $tType] : (zero_zero(X3) = X2 => zero_zero(real) = iG214(X3,X2))),
% 8.48/2.13    inference(rectify,[],[f10940])).
% 8.48/2.13  tff(f10940,plain,(
% 8.48/2.13    ! [X1 : X0,X0 : $tType] : (~zero_zero(X0) = X1 => one_one(real) = iG214(X0,X1)) & ! [X1 : X0,X0 : $tType] : (zero_zero(X0) = X1 => zero_zero(real) = iG214(X0,X1))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG214])])).
% 8.48/2.13  tff(f45437,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X0 : X1] : (one_one(real) = iG214(X1,X0) | zero_zero(X1) = X0) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26336])).
% 8.48/2.13  tff(f61636,plain,(
% 8.48/2.13    ($true = bG215(zero_zero(nat)))),
% 8.48/2.13    inference(equality_resolution,[],[f45434])).
% 8.48/2.13  tff(f45434,plain,(
% 8.48/2.13    ( ! [X0 : nat] : (($true = bG215(X0)) | zero_zero(nat) != X0) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36464])).
% 8.48/2.13  tff(f36464,plain,(
% 8.48/2.13    ! [X0 : nat] : ((zero_zero(nat) = X0 | ($true != bG215(X0))) & (($true = bG215(X0)) | zero_zero(nat) != X0))),
% 8.48/2.13    inference(nnf_transformation,[],[f20903])).
% 8.48/2.13  tff(f20903,plain,(
% 8.48/2.13    ! [X0 : nat] : (zero_zero(nat) = X0 <=> ($true = bG215(X0)))),
% 8.48/2.13    inference(rectify,[],[f11045])).
% 8.48/2.13  tff(f11045,plain,(
% 8.48/2.13    ! [X1 : nat] : (zero_zero(nat) = X1 <=> ($true = bG215(X1)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG215])])).
% 8.48/2.13  tff(f45435,plain,(
% 8.48/2.13    ( ! [X0 : nat] : (zero_zero(nat) = X0 | ($true != bG215(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36464])).
% 8.48/2.13  tff(f61635,plain,(
% 8.48/2.13    ($true = bG216($true))),
% 8.48/2.13    inference(equality_resolution,[],[f45432])).
% 8.48/2.13  tff(f45432,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = bG216(X0)) | ($true != X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36463])).
% 8.48/2.13  tff(f36463,plain,(
% 8.48/2.13    ! [X0 : $o] : ((($true = X0) | ($true != bG216(X0))) & (($true = bG216(X0)) | ($true != X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20902])).
% 8.48/2.13  tff(f20902,plain,(
% 8.48/2.13    ! [X0 : $o] : (($true = X0) <=> ($true = bG216(X0)))),
% 8.48/2.13    inference(rectify,[],[f11048])).
% 8.48/2.13  tff(f11048,plain,(
% 8.48/2.13    ! [X1 : $o] : (($true = X1) <=> ($true = bG216(X1)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG216])])).
% 8.48/2.13  tff(f45433,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = X0) | ($true != bG216(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36463])).
% 8.48/2.13  tff(f45430,plain,(
% 8.48/2.13    ( ! [X2 : $tType,X3 : X2] : (zero_zero(X2) = iG217(X2,X3) | ~dvd_dvd(X2,aa(num,X2,numeral_numeral(X2),aa(num,num,bit0,one2)),X3)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26335])).
% 8.48/2.13  tff(f26335,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0] : (one_one(X0) = iG217(X0,X1) | dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),X1)) & ! [X2 : $tType,X3 : X2] : (zero_zero(X2) = iG217(X2,X3) | ~dvd_dvd(X2,aa(num,X2,numeral_numeral(X2),aa(num,num,bit0,one2)),X3))),
% 8.48/2.13    inference(ennf_transformation,[],[f20901])).
% 8.48/2.13  tff(f20901,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0] : (~dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),X1) => one_one(X0) = iG217(X0,X1)) & ! [X2 : $tType,X3 : X2] : (dvd_dvd(X2,aa(num,X2,numeral_numeral(X2),aa(num,num,bit0,one2)),X3) => zero_zero(X2) = iG217(X2,X3))),
% 8.48/2.13    inference(flattening,[],[f20900])).
% 8.48/2.13  tff(f20900,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0] : (~dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),X1) => one_one(X0) = iG217(X0,X1)) & ! [X2 : $tType,X3 : X2] : (dvd_dvd(X2,aa(num,X2,numeral_numeral(X2),aa(num,num,bit0,one2)),X3) => zero_zero(X2) = iG217(X2,X3))),
% 8.48/2.13    inference(rectify,[],[f11053])).
% 8.48/2.13  tff(f11053,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0] : (~dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),X1) => one_one(X0) = iG217(X0,X1)) & ! [X0 : $tType,X1 : X0] : (dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),X1) => zero_zero(X0) = iG217(X0,X1))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG217])])).
% 8.48/2.13  tff(f45431,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X1 : X0] : (one_one(X0) = iG217(X0,X1) | dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),X1)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26335])).
% 8.48/2.13  tff(f45428,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X0 : X1] : (($true = bG218(X1,X0)) | dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36462])).
% 8.48/2.13  tff(f36462,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType] : ((~dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0) | ($true != bG218(X1,X0))) & (($true = bG218(X1,X0)) | dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20899])).
% 8.48/2.13  tff(f20899,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType] : (~dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0) <=> ($true = bG218(X1,X0)))),
% 8.48/2.13    inference(rectify,[],[f11056])).
% 8.48/2.13  tff(f11056,plain,(
% 8.48/2.13    ! [X1 : X0,X0 : $tType] : (~dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),X1) <=> ($true = bG218(X0,X1)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG218])])).
% 8.48/2.13  tff(f45429,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X0 : X1] : (~dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0) | ($true != bG218(X1,X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36462])).
% 8.48/2.13  tff(f61634,plain,(
% 8.48/2.13    ($true = bG219($true))),
% 8.48/2.13    inference(equality_resolution,[],[f45426])).
% 8.48/2.13  tff(f45426,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = bG219(X0)) | ($true != X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36461])).
% 8.48/2.13  tff(f36461,plain,(
% 8.48/2.13    ! [X0 : $o] : ((($true = X0) | ($true != bG219(X0))) & (($true = bG219(X0)) | ($true != X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20898])).
% 8.48/2.13  tff(f20898,plain,(
% 8.48/2.13    ! [X0 : $o] : (($true = X0) <=> ($true = bG219(X0)))),
% 8.48/2.13    inference(rectify,[],[f11059])).
% 8.48/2.13  tff(f11059,plain,(
% 8.48/2.13    ! [X1 : $o] : (($true = X1) <=> ($true = bG219(X1)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG219])])).
% 8.48/2.13  tff(f45427,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = X0) | ($true != bG219(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36461])).
% 8.48/2.13  tff(f61633,plain,(
% 8.48/2.13    ($true = bG220(zero_zero(nat)))),
% 8.48/2.13    inference(equality_resolution,[],[f45424])).
% 8.48/2.13  tff(f45424,plain,(
% 8.48/2.13    ( ! [X0 : nat] : (($true = bG220(X0)) | zero_zero(nat) != X0) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36460])).
% 8.48/2.13  tff(f36460,plain,(
% 8.48/2.13    ! [X0 : nat] : ((zero_zero(nat) = X0 | ($true != bG220(X0))) & (($true = bG220(X0)) | zero_zero(nat) != X0))),
% 8.48/2.13    inference(nnf_transformation,[],[f20897])).
% 8.48/2.13  tff(f20897,plain,(
% 8.48/2.13    ! [X0 : nat] : (zero_zero(nat) = X0 <=> ($true = bG220(X0)))),
% 8.48/2.13    inference(rectify,[],[f11064])).
% 8.48/2.13  tff(f11064,plain,(
% 8.48/2.13    ! [X1 : nat] : (zero_zero(nat) = X1 <=> ($true = bG220(X1)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG220])])).
% 8.48/2.13  tff(f45425,plain,(
% 8.48/2.13    ( ! [X0 : nat] : (zero_zero(nat) = X0 | ($true != bG220(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36460])).
% 8.48/2.13  tff(f45421,plain,(
% 8.48/2.13    ( ! [X2 : $tType,X0 : nat,X1 : nat] : (($true = bG221(X2,X0,X1)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X0)) | zero_zero(X2) = aa(nat,X2,aa(X2,fun(nat,X2),power_power(X2),aa(num,X2,numeral_numeral(X2),aa(num,num,bit0,one2))),X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36459])).
% 8.48/2.13  tff(f36459,plain,(
% 8.48/2.13    ! [X0 : nat,X1 : nat,X2 : $tType] : (((($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X0)) & zero_zero(X2) != aa(nat,X2,aa(X2,fun(nat,X2),power_power(X2),aa(num,X2,numeral_numeral(X2),aa(num,num,bit0,one2))),X0)) | ($true != bG221(X2,X0,X1))) & (($true = bG221(X2,X0,X1)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X0)) | zero_zero(X2) = aa(nat,X2,aa(X2,fun(nat,X2),power_power(X2),aa(num,X2,numeral_numeral(X2),aa(num,num,bit0,one2))),X0)))),
% 8.48/2.13    inference(flattening,[],[f36458])).
% 8.48/2.13  tff(f36458,plain,(
% 8.48/2.13    ! [X0 : nat,X1 : nat,X2 : $tType] : (((($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X0)) & zero_zero(X2) != aa(nat,X2,aa(X2,fun(nat,X2),power_power(X2),aa(num,X2,numeral_numeral(X2),aa(num,num,bit0,one2))),X0)) | ($true != bG221(X2,X0,X1))) & (($true = bG221(X2,X0,X1)) | (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X0)) | zero_zero(X2) = aa(nat,X2,aa(X2,fun(nat,X2),power_power(X2),aa(num,X2,numeral_numeral(X2),aa(num,num,bit0,one2))),X0))))),
% 8.48/2.13    inference(nnf_transformation,[],[f20896])).
% 8.48/2.13  tff(f20896,plain,(
% 8.48/2.13    ! [X0 : nat,X1 : nat,X2 : $tType] : ((($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X0)) & zero_zero(X2) != aa(nat,X2,aa(X2,fun(nat,X2),power_power(X2),aa(num,X2,numeral_numeral(X2),aa(num,num,bit0,one2))),X0)) <=> ($true = bG221(X2,X0,X1)))),
% 8.48/2.13    inference(rectify,[],[f11073])).
% 8.48/2.13  tff(f11073,plain,(
% 8.48/2.13    ! [X1 : nat,X2 : nat,X0 : $tType] : ((($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X2),X1)) & zero_zero(X0) != aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))),X1)) <=> ($true = bG221(X0,X1,X2)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG221])])).
% 8.48/2.13  tff(f45422,plain,(
% 8.48/2.13    ( ! [X2 : $tType,X0 : nat,X1 : nat] : (zero_zero(X2) != aa(nat,X2,aa(X2,fun(nat,X2),power_power(X2),aa(num,X2,numeral_numeral(X2),aa(num,num,bit0,one2))),X0) | ($true != bG221(X2,X0,X1))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36459])).
% 8.48/2.13  tff(f45423,plain,(
% 8.48/2.13    ( ! [X2 : $tType,X0 : nat,X1 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X0)) | ($true != bG221(X2,X0,X1))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36459])).
% 8.48/2.13  tff(f61632,plain,(
% 8.48/2.13    ($true = bG222($true))),
% 8.48/2.13    inference(equality_resolution,[],[f45419])).
% 8.48/2.13  tff(f45419,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = bG222(X0)) | ($true != X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36457])).
% 8.48/2.13  tff(f36457,plain,(
% 8.48/2.13    ! [X0 : $o] : ((($true = X0) | ($true != bG222(X0))) & (($true = bG222(X0)) | ($true != X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20895])).
% 8.48/2.13  tff(f20895,plain,(
% 8.48/2.13    ! [X0 : $o] : (($true = X0) <=> ($true = bG222(X0)))),
% 8.48/2.13    inference(rectify,[],[f11088])).
% 8.48/2.13  tff(f11088,plain,(
% 8.48/2.13    ! [X5 : $o] : (($true = X5) <=> ($true = bG222(X5)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG222])])).
% 8.48/2.13  tff(f45420,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = X0) | ($true != bG222(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36457])).
% 8.48/2.13  tff(f61631,plain,(
% 8.48/2.13    ($true = bG223($true))),
% 8.48/2.13    inference(equality_resolution,[],[f45417])).
% 8.48/2.13  tff(f45417,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = bG223(X0)) | ($true != X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36456])).
% 8.48/2.13  tff(f36456,plain,(
% 8.48/2.13    ! [X0 : $o] : ((($true = X0) | ($true != bG223(X0))) & (($true = bG223(X0)) | ($true != X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20894])).
% 8.48/2.13  tff(f20894,plain,(
% 8.48/2.13    ! [X0 : $o] : (($true = X0) <=> ($true = bG223(X0)))),
% 8.48/2.13    inference(rectify,[],[f11089])).
% 8.48/2.13  tff(f11089,plain,(
% 8.48/2.13    ! [X5 : $o] : (($true = X5) <=> ($true = bG223(X5)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG223])])).
% 8.48/2.13  tff(f45418,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = X0) | ($true != bG223(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36456])).
% 8.48/2.13  tff(f45415,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X0 : X1] : (($true = bG224(X1,X0)) | dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36455])).
% 8.48/2.13  tff(f36455,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType] : ((~dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0) | ($true != bG224(X1,X0))) & (($true = bG224(X1,X0)) | dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20893])).
% 8.48/2.13  tff(f20893,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType] : (~dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0) <=> ($true = bG224(X1,X0)))),
% 8.48/2.13    inference(rectify,[],[f11096])).
% 8.48/2.13  tff(f11096,plain,(
% 8.48/2.13    ! [X1 : X0,X0 : $tType] : (~dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),X1) <=> ($true = bG224(X0,X1)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG224])])).
% 8.48/2.13  tff(f45416,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X0 : X1] : (~dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0) | ($true != bG224(X1,X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36455])).
% 8.48/2.13  tff(f61630,plain,(
% 8.48/2.13    ( ! [X4 : $tType,X5 : X4] : ((bG224(X4,X5) = iG225(X4,zero_zero(nat),X5))) )),
% 8.48/2.13    inference(equality_resolution,[],[f45413])).
% 8.48/2.13  tff(f45413,plain,(
% 8.48/2.13    ( ! [X4 : $tType,X3 : nat,X5 : X4] : ((bG224(X4,X5) = iG225(X4,X3,X5)) | zero_zero(nat) != X3) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26334])).
% 8.48/2.13  tff(f26334,plain,(
% 8.48/2.13    ! [X0 : nat,X1 : $tType,X2 : X1] : ((aa(nat,$o,bit_se5641148757651400278ts_bit(X1,divide_divide(X1,X2,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),one_one(nat))) = iG225(X1,X0,X2)) | zero_zero(nat) = X0) & ! [X3 : nat,X4 : $tType,X5 : X4] : ((bG224(X4,X5) = iG225(X4,X3,X5)) | zero_zero(nat) != X3)),
% 8.48/2.13    inference(ennf_transformation,[],[f20892])).
% 8.48/2.13  tff(f20892,plain,(
% 8.48/2.13    ! [X0 : nat,X1 : $tType,X2 : X1] : (zero_zero(nat) != X0 => (aa(nat,$o,bit_se5641148757651400278ts_bit(X1,divide_divide(X1,X2,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),one_one(nat))) = iG225(X1,X0,X2))) & ! [X3 : nat,X4 : $tType,X5 : X4] : (zero_zero(nat) = X3 => (bG224(X4,X5) = iG225(X4,X3,X5)))),
% 8.48/2.13    inference(flattening,[],[f20891])).
% 8.48/2.13  tff(f20891,plain,(
% 8.48/2.13    ! [X0 : nat,X1 : $tType,X2 : X1] : (~zero_zero(nat) = X0 => (aa(nat,$o,bit_se5641148757651400278ts_bit(X1,divide_divide(X1,X2,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),one_one(nat))) = iG225(X1,X0,X2))) & ! [X3 : nat,X4 : $tType,X5 : X4] : (zero_zero(nat) = X3 => (bG224(X4,X5) = iG225(X4,X3,X5)))),
% 8.48/2.13    inference(rectify,[],[f11097])).
% 8.48/2.13  tff(f11097,plain,(
% 8.48/2.13    ! [X2 : nat,X0 : $tType,X1 : X0] : (~zero_zero(nat) = X2 => (aa(nat,$o,bit_se5641148757651400278ts_bit(X0,divide_divide(X0,X1,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X2),one_one(nat))) = iG225(X0,X2,X1))) & ! [X2 : nat,X0 : $tType,X1 : X0] : (zero_zero(nat) = X2 => (bG224(X0,X1) = iG225(X0,X2,X1)))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG225])])).
% 8.48/2.13  tff(f45414,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X2 : X1,X0 : nat] : ((aa(nat,$o,bit_se5641148757651400278ts_bit(X1,divide_divide(X1,X2,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),one_one(nat))) = iG225(X1,X0,X2)) | zero_zero(nat) = X0) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26334])).
% 8.48/2.13  tff(f61629,plain,(
% 8.48/2.13    ($true = bG226($true))),
% 8.48/2.13    inference(equality_resolution,[],[f45411])).
% 8.48/2.13  tff(f45411,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = bG226(X0)) | ($true != X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36454])).
% 8.48/2.13  tff(f36454,plain,(
% 8.48/2.13    ! [X0 : $o] : ((($true = X0) | ($true != bG226(X0))) & (($true = bG226(X0)) | ($true != X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20890])).
% 8.48/2.13  tff(f20890,plain,(
% 8.48/2.13    ! [X0 : $o] : (($true = X0) <=> ($true = bG226(X0)))),
% 8.48/2.13    inference(rectify,[],[f11104])).
% 8.48/2.13  tff(f11104,plain,(
% 8.48/2.13    ! [X1 : $o] : (($true = X1) <=> ($true = bG226(X1)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG226])])).
% 8.48/2.13  tff(f45412,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = X0) | ($true != bG226(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36454])).
% 8.48/2.13  tff(f61628,plain,(
% 8.48/2.13    ( ! [X4 : $tType,X6 : X4,X7 : X4] : (zero_zero(X4) = iG227(X4,zero_zero(X4),X6,X7)) )),
% 8.48/2.13    inference(equality_resolution,[],[f45409])).
% 8.48/2.13  tff(f45409,plain,(
% 8.48/2.13    ( ! [X4 : $tType,X6 : X4,X7 : X4,X5 : X4] : (zero_zero(X4) = iG227(X4,X5,X6,X7) | zero_zero(X4) != X5) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26333])).
% 8.48/2.13  tff(f26333,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : (divide_divide(X0,X3,X2) = iG227(X0,X1,X2,X3) | zero_zero(X0) = X1) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : (zero_zero(X4) = iG227(X4,X5,X6,X7) | zero_zero(X4) != X5)),
% 8.48/2.13    inference(ennf_transformation,[],[f20889])).
% 8.48/2.13  tff(f20889,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : (zero_zero(X0) != X1 => divide_divide(X0,X3,X2) = iG227(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : (zero_zero(X4) = X5 => zero_zero(X4) = iG227(X4,X5,X6,X7))),
% 8.48/2.13    inference(flattening,[],[f20888])).
% 8.48/2.13  tff(f20888,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : (~zero_zero(X0) = X1 => divide_divide(X0,X3,X2) = iG227(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : (zero_zero(X4) = X5 => zero_zero(X4) = iG227(X4,X5,X6,X7))),
% 8.48/2.13    inference(rectify,[],[f11113])).
% 8.48/2.13  tff(f11113,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X3 : X0,X2 : X0] : (~zero_zero(X0) = X1 => divide_divide(X0,X2,X3) = iG227(X0,X1,X3,X2)) & ! [X0 : $tType,X1 : X0,X3 : X0,X2 : X0] : (zero_zero(X0) = X1 => zero_zero(X0) = iG227(X0,X1,X3,X2))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG227])])).
% 8.48/2.13  tff(f45410,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (divide_divide(X0,X3,X2) = iG227(X0,X1,X2,X3) | zero_zero(X0) = X1) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26333])).
% 8.48/2.13  tff(f45407,plain,(
% 8.48/2.13    ( ! [X4 : $tType,X6 : nat,X7 : X4,X5 : nat] : (aa(nat,X4,aa(X4,fun(nat,X4),power_power(X4),X7),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X5),X6)) = iG228(X4,X5,X6,X7) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X6),X5))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26332])).
% 8.48/2.13  tff(f26332,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : X0] : (divide_divide(X0,one_one(X0),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X3),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X2),X1))) = iG228(X0,X1,X2,X3) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X2),X1))) & ! [X4 : $tType,X5 : nat,X6 : nat,X7 : X4] : (aa(nat,X4,aa(X4,fun(nat,X4),power_power(X4),X7),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X5),X6)) = iG228(X4,X5,X6,X7) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X6),X5)))),
% 8.48/2.13    inference(ennf_transformation,[],[f20887])).
% 8.48/2.13  tff(f20887,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : X0] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X2),X1)) => divide_divide(X0,one_one(X0),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X3),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X2),X1))) = iG228(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : nat,X6 : nat,X7 : X4] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X6),X5)) => aa(nat,X4,aa(X4,fun(nat,X4),power_power(X4),X7),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X5),X6)) = iG228(X4,X5,X6,X7))),
% 8.48/2.13    inference(flattening,[],[f20886])).
% 8.48/2.13  tff(f20886,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : X0] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X2),X1)) => divide_divide(X0,one_one(X0),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X3),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X2),X1))) = iG228(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : nat,X6 : nat,X7 : X4] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X6),X5)) => aa(nat,X4,aa(X4,fun(nat,X4),power_power(X4),X7),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X5),X6)) = iG228(X4,X5,X6,X7))),
% 8.48/2.13    inference(rectify,[],[f11116])).
% 8.48/2.13  tff(f11116,plain,(
% 8.48/2.13    ! [X0 : $tType,X2 : nat,X3 : nat,X1 : X0] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),X2)) => divide_divide(X0,one_one(X0),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),X2))) = iG228(X0,X2,X3,X1)) & ! [X0 : $tType,X2 : nat,X3 : nat,X1 : X0] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),X2)) => aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X2),X3)) = iG228(X0,X2,X3,X1))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG228])])).
% 8.48/2.13  tff(f45408,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : nat,X3 : X0,X1 : nat] : (divide_divide(X0,one_one(X0),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X3),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X2),X1))) = iG228(X0,X1,X2,X3) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X2),X1))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26332])).
% 8.48/2.13  tff(f45405,plain,(
% 8.48/2.13    ( ! [X3 : $tType,X4 : num,X5 : num] : (aa(X3,product_prod(X3,X3),aa(X3,fun(X3,product_prod(X3,X3)),product_Pair(X3,X3),zero_zero(X3)),aa(num,X3,numeral_numeral(X3),X5)) = iG229(X3,X4,X5) | ($true != aa(num,$o,aa(num,fun(num,$o),ord_less(num),X5),X4))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26331])).
% 8.48/2.13  tff(f26331,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : num,X2 : num] : (unique1321980374590559556d_step(X0,X1,unique8689654367752047608divmod(X0,X2,aa(num,num,bit0,X1))) = iG229(X0,X1,X2) | ($true = aa(num,$o,aa(num,fun(num,$o),ord_less(num),X2),X1))) & ! [X3 : $tType,X4 : num,X5 : num] : (aa(X3,product_prod(X3,X3),aa(X3,fun(X3,product_prod(X3,X3)),product_Pair(X3,X3),zero_zero(X3)),aa(num,X3,numeral_numeral(X3),X5)) = iG229(X3,X4,X5) | ($true != aa(num,$o,aa(num,fun(num,$o),ord_less(num),X5),X4)))),
% 8.48/2.13    inference(ennf_transformation,[],[f20885])).
% 8.48/2.13  tff(f20885,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : num,X2 : num] : (($true != aa(num,$o,aa(num,fun(num,$o),ord_less(num),X2),X1)) => unique1321980374590559556d_step(X0,X1,unique8689654367752047608divmod(X0,X2,aa(num,num,bit0,X1))) = iG229(X0,X1,X2)) & ! [X3 : $tType,X4 : num,X5 : num] : (($true = aa(num,$o,aa(num,fun(num,$o),ord_less(num),X5),X4)) => aa(X3,product_prod(X3,X3),aa(X3,fun(X3,product_prod(X3,X3)),product_Pair(X3,X3),zero_zero(X3)),aa(num,X3,numeral_numeral(X3),X5)) = iG229(X3,X4,X5))),
% 8.48/2.13    inference(flattening,[],[f20884])).
% 8.48/2.13  tff(f20884,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : num,X2 : num] : (~($true = aa(num,$o,aa(num,fun(num,$o),ord_less(num),X2),X1)) => unique1321980374590559556d_step(X0,X1,unique8689654367752047608divmod(X0,X2,aa(num,num,bit0,X1))) = iG229(X0,X1,X2)) & ! [X3 : $tType,X4 : num,X5 : num] : (($true = aa(num,$o,aa(num,fun(num,$o),ord_less(num),X5),X4)) => aa(X3,product_prod(X3,X3),aa(X3,fun(X3,product_prod(X3,X3)),product_Pair(X3,X3),zero_zero(X3)),aa(num,X3,numeral_numeral(X3),X5)) = iG229(X3,X4,X5))),
% 8.48/2.13    inference(rectify,[],[f11119])).
% 8.48/2.13  tff(f11119,plain,(
% 8.48/2.13    ! [X0 : $tType,X2 : num,X1 : num] : (~($true = aa(num,$o,aa(num,fun(num,$o),ord_less(num),X1),X2)) => unique1321980374590559556d_step(X0,X2,unique8689654367752047608divmod(X0,X1,aa(num,num,bit0,X2))) = iG229(X0,X2,X1)) & ! [X0 : $tType,X2 : num,X1 : num] : (($true = aa(num,$o,aa(num,fun(num,$o),ord_less(num),X1),X2)) => aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),zero_zero(X0)),aa(num,X0,numeral_numeral(X0),X1)) = iG229(X0,X2,X1))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG229])])).
% 8.48/2.13  tff(f45406,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : num,X1 : num] : (unique1321980374590559556d_step(X0,X1,unique8689654367752047608divmod(X0,X2,aa(num,num,bit0,X1))) = iG229(X0,X1,X2) | ($true = aa(num,$o,aa(num,fun(num,$o),ord_less(num),X2),X1))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26331])).
% 8.48/2.13  tff(f45403,plain,(
% 8.48/2.13    ( ! [X3 : $tType,X4 : num,X5 : num] : (aa(X3,product_prod(X3,X3),aa(X3,fun(X3,product_prod(X3,X3)),product_Pair(X3,X3),zero_zero(X3)),aa(num,X3,numeral_numeral(X3),aa(num,num,bit1,X5))) = iG230(X3,X4,X5) | ($true != aa(num,$o,aa(num,fun(num,$o),ord_less(num),X5),X4))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26330])).
% 8.48/2.13  tff(f26330,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : num,X2 : num] : (unique1321980374590559556d_step(X0,aa(num,num,bit1,X1),unique8689654367752047608divmod(X0,aa(num,num,bit1,X2),aa(num,num,bit0,aa(num,num,bit1,X1)))) = iG230(X0,X1,X2) | ($true = aa(num,$o,aa(num,fun(num,$o),ord_less(num),X2),X1))) & ! [X3 : $tType,X4 : num,X5 : num] : (aa(X3,product_prod(X3,X3),aa(X3,fun(X3,product_prod(X3,X3)),product_Pair(X3,X3),zero_zero(X3)),aa(num,X3,numeral_numeral(X3),aa(num,num,bit1,X5))) = iG230(X3,X4,X5) | ($true != aa(num,$o,aa(num,fun(num,$o),ord_less(num),X5),X4)))),
% 8.48/2.13    inference(ennf_transformation,[],[f20883])).
% 8.48/2.13  tff(f20883,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : num,X2 : num] : (($true != aa(num,$o,aa(num,fun(num,$o),ord_less(num),X2),X1)) => unique1321980374590559556d_step(X0,aa(num,num,bit1,X1),unique8689654367752047608divmod(X0,aa(num,num,bit1,X2),aa(num,num,bit0,aa(num,num,bit1,X1)))) = iG230(X0,X1,X2)) & ! [X3 : $tType,X4 : num,X5 : num] : (($true = aa(num,$o,aa(num,fun(num,$o),ord_less(num),X5),X4)) => aa(X3,product_prod(X3,X3),aa(X3,fun(X3,product_prod(X3,X3)),product_Pair(X3,X3),zero_zero(X3)),aa(num,X3,numeral_numeral(X3),aa(num,num,bit1,X5))) = iG230(X3,X4,X5))),
% 8.48/2.13    inference(flattening,[],[f20882])).
% 8.48/2.13  tff(f20882,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : num,X2 : num] : (~($true = aa(num,$o,aa(num,fun(num,$o),ord_less(num),X2),X1)) => unique1321980374590559556d_step(X0,aa(num,num,bit1,X1),unique8689654367752047608divmod(X0,aa(num,num,bit1,X2),aa(num,num,bit0,aa(num,num,bit1,X1)))) = iG230(X0,X1,X2)) & ! [X3 : $tType,X4 : num,X5 : num] : (($true = aa(num,$o,aa(num,fun(num,$o),ord_less(num),X5),X4)) => aa(X3,product_prod(X3,X3),aa(X3,fun(X3,product_prod(X3,X3)),product_Pair(X3,X3),zero_zero(X3)),aa(num,X3,numeral_numeral(X3),aa(num,num,bit1,X5))) = iG230(X3,X4,X5))),
% 8.48/2.13    inference(rectify,[],[f11122])).
% 8.48/2.13  tff(f11122,plain,(
% 8.48/2.13    ! [X0 : $tType,X2 : num,X1 : num] : (~($true = aa(num,$o,aa(num,fun(num,$o),ord_less(num),X1),X2)) => unique1321980374590559556d_step(X0,aa(num,num,bit1,X2),unique8689654367752047608divmod(X0,aa(num,num,bit1,X1),aa(num,num,bit0,aa(num,num,bit1,X2)))) = iG230(X0,X2,X1)) & ! [X0 : $tType,X2 : num,X1 : num] : (($true = aa(num,$o,aa(num,fun(num,$o),ord_less(num),X1),X2)) => aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),zero_zero(X0)),aa(num,X0,numeral_numeral(X0),aa(num,num,bit1,X1))) = iG230(X0,X2,X1))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG230])])).
% 8.48/2.13  tff(f45404,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : num,X1 : num] : (unique1321980374590559556d_step(X0,aa(num,num,bit1,X1),unique8689654367752047608divmod(X0,aa(num,num,bit1,X2),aa(num,num,bit0,aa(num,num,bit1,X1)))) = iG230(X0,X1,X2) | ($true = aa(num,$o,aa(num,fun(num,$o),ord_less(num),X2),X1))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26330])).
% 8.48/2.13  tff(f45401,plain,(
% 8.48/2.13    ( ! [X3 : $tType,X4 : num,X5 : num] : (aa(X3,product_prod(X3,X3),aa(X3,fun(X3,product_prod(X3,X3)),product_Pair(X3,X3),zero_zero(X3)),aa(num,X3,numeral_numeral(X3),aa(num,num,bit0,X5))) = iG231(X3,X4,X5) | ($true != aa(num,$o,aa(num,fun(num,$o),ord_less_eq(num),X5),X4))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26329])).
% 8.48/2.13  tff(f26329,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : num,X2 : num] : (unique1321980374590559556d_step(X0,aa(num,num,bit1,X1),unique8689654367752047608divmod(X0,aa(num,num,bit0,X2),aa(num,num,bit0,aa(num,num,bit1,X1)))) = iG231(X0,X1,X2) | ($true = aa(num,$o,aa(num,fun(num,$o),ord_less_eq(num),X2),X1))) & ! [X3 : $tType,X4 : num,X5 : num] : (aa(X3,product_prod(X3,X3),aa(X3,fun(X3,product_prod(X3,X3)),product_Pair(X3,X3),zero_zero(X3)),aa(num,X3,numeral_numeral(X3),aa(num,num,bit0,X5))) = iG231(X3,X4,X5) | ($true != aa(num,$o,aa(num,fun(num,$o),ord_less_eq(num),X5),X4)))),
% 8.48/2.13    inference(ennf_transformation,[],[f20881])).
% 8.48/2.13  tff(f20881,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : num,X2 : num] : (($true != aa(num,$o,aa(num,fun(num,$o),ord_less_eq(num),X2),X1)) => unique1321980374590559556d_step(X0,aa(num,num,bit1,X1),unique8689654367752047608divmod(X0,aa(num,num,bit0,X2),aa(num,num,bit0,aa(num,num,bit1,X1)))) = iG231(X0,X1,X2)) & ! [X3 : $tType,X4 : num,X5 : num] : (($true = aa(num,$o,aa(num,fun(num,$o),ord_less_eq(num),X5),X4)) => aa(X3,product_prod(X3,X3),aa(X3,fun(X3,product_prod(X3,X3)),product_Pair(X3,X3),zero_zero(X3)),aa(num,X3,numeral_numeral(X3),aa(num,num,bit0,X5))) = iG231(X3,X4,X5))),
% 8.48/2.13    inference(flattening,[],[f20880])).
% 8.48/2.13  tff(f20880,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : num,X2 : num] : (~($true = aa(num,$o,aa(num,fun(num,$o),ord_less_eq(num),X2),X1)) => unique1321980374590559556d_step(X0,aa(num,num,bit1,X1),unique8689654367752047608divmod(X0,aa(num,num,bit0,X2),aa(num,num,bit0,aa(num,num,bit1,X1)))) = iG231(X0,X1,X2)) & ! [X3 : $tType,X4 : num,X5 : num] : (($true = aa(num,$o,aa(num,fun(num,$o),ord_less_eq(num),X5),X4)) => aa(X3,product_prod(X3,X3),aa(X3,fun(X3,product_prod(X3,X3)),product_Pair(X3,X3),zero_zero(X3)),aa(num,X3,numeral_numeral(X3),aa(num,num,bit0,X5))) = iG231(X3,X4,X5))),
% 8.48/2.13    inference(rectify,[],[f11125])).
% 8.48/2.13  tff(f11125,plain,(
% 8.48/2.13    ! [X0 : $tType,X2 : num,X1 : num] : (~($true = aa(num,$o,aa(num,fun(num,$o),ord_less_eq(num),X1),X2)) => unique1321980374590559556d_step(X0,aa(num,num,bit1,X2),unique8689654367752047608divmod(X0,aa(num,num,bit0,X1),aa(num,num,bit0,aa(num,num,bit1,X2)))) = iG231(X0,X2,X1)) & ! [X0 : $tType,X2 : num,X1 : num] : (($true = aa(num,$o,aa(num,fun(num,$o),ord_less_eq(num),X1),X2)) => aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),zero_zero(X0)),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,X1))) = iG231(X0,X2,X1))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG231])])).
% 8.48/2.13  tff(f45402,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : num,X1 : num] : (unique1321980374590559556d_step(X0,aa(num,num,bit1,X1),unique8689654367752047608divmod(X0,aa(num,num,bit0,X2),aa(num,num,bit0,aa(num,num,bit1,X1)))) = iG231(X0,X1,X2) | ($true = aa(num,$o,aa(num,fun(num,$o),ord_less_eq(num),X2),X1))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26329])).
% 8.48/2.13  tff(f45399,plain,(
% 8.48/2.13    ( ! [X4 : $tType,X6 : num,X7 : X4,X5 : X4] : (aa(X4,product_prod(X4,X4),aa(X4,fun(X4,product_prod(X4,X4)),product_Pair(X4,X4),aa(X4,X4,aa(X4,fun(X4,X4),plus_plus(X4),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),aa(num,X4,numeral_numeral(X4),aa(num,num,bit0,one2))),X7)),one_one(X4))),aa(X4,X4,aa(X4,fun(X4,X4),minus_minus(X4),X5),aa(num,X4,numeral_numeral(X4),X6))) = iG232(X4,X5,X6,X7) | ($true != aa(X4,$o,aa(X4,fun(X4,$o),ord_less_eq(X4),aa(num,X4,numeral_numeral(X4),X6)),X5))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26328])).
% 8.48/2.13  tff(f26328,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : num,X3 : X0] : (aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))),X3)),X1) = iG232(X0,X1,X2,X3) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(num,X0,numeral_numeral(X0),X2)),X1))) & ! [X4 : $tType,X5 : X4,X6 : num,X7 : X4] : (aa(X4,product_prod(X4,X4),aa(X4,fun(X4,product_prod(X4,X4)),product_Pair(X4,X4),aa(X4,X4,aa(X4,fun(X4,X4),plus_plus(X4),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),aa(num,X4,numeral_numeral(X4),aa(num,num,bit0,one2))),X7)),one_one(X4))),aa(X4,X4,aa(X4,fun(X4,X4),minus_minus(X4),X5),aa(num,X4,numeral_numeral(X4),X6))) = iG232(X4,X5,X6,X7) | ($true != aa(X4,$o,aa(X4,fun(X4,$o),ord_less_eq(X4),aa(num,X4,numeral_numeral(X4),X6)),X5)))),
% 8.48/2.13    inference(ennf_transformation,[],[f20879])).
% 8.48/2.13  tff(f20879,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : num,X3 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(num,X0,numeral_numeral(X0),X2)),X1)) => aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))),X3)),X1) = iG232(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : X4,X6 : num,X7 : X4] : (($true = aa(X4,$o,aa(X4,fun(X4,$o),ord_less_eq(X4),aa(num,X4,numeral_numeral(X4),X6)),X5)) => aa(X4,product_prod(X4,X4),aa(X4,fun(X4,product_prod(X4,X4)),product_Pair(X4,X4),aa(X4,X4,aa(X4,fun(X4,X4),plus_plus(X4),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),aa(num,X4,numeral_numeral(X4),aa(num,num,bit0,one2))),X7)),one_one(X4))),aa(X4,X4,aa(X4,fun(X4,X4),minus_minus(X4),X5),aa(num,X4,numeral_numeral(X4),X6))) = iG232(X4,X5,X6,X7))),
% 8.48/2.13    inference(flattening,[],[f20878])).
% 8.48/2.13  tff(f20878,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : num,X3 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(num,X0,numeral_numeral(X0),X2)),X1)) => aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))),X3)),X1) = iG232(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : X4,X6 : num,X7 : X4] : (($true = aa(X4,$o,aa(X4,fun(X4,$o),ord_less_eq(X4),aa(num,X4,numeral_numeral(X4),X6)),X5)) => aa(X4,product_prod(X4,X4),aa(X4,fun(X4,product_prod(X4,X4)),product_Pair(X4,X4),aa(X4,X4,aa(X4,fun(X4,X4),plus_plus(X4),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),aa(num,X4,numeral_numeral(X4),aa(num,num,bit0,one2))),X7)),one_one(X4))),aa(X4,X4,aa(X4,fun(X4,X4),minus_minus(X4),X5),aa(num,X4,numeral_numeral(X4),X6))) = iG232(X4,X5,X6,X7))),
% 8.48/2.13    inference(rectify,[],[f11152])).
% 8.48/2.13  tff(f11152,plain,(
% 8.48/2.13    ! [X0 : $tType,X3 : X0,X1 : num,X2 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(num,X0,numeral_numeral(X0),X1)),X3)) => aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))),X2)),X3) = iG232(X0,X3,X1,X2)) & ! [X0 : $tType,X3 : X0,X1 : num,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(num,X0,numeral_numeral(X0),X1)),X3)) => aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))),X2)),one_one(X0))),aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X3),aa(num,X0,numeral_numeral(X0),X1))) = iG232(X0,X3,X1,X2))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG232])])).
% 8.48/2.13  tff(f45400,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : num,X3 : X0,X1 : X0] : (aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))),X3)),X1) = iG232(X0,X1,X2,X3) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(num,X0,numeral_numeral(X0),X2)),X1))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26328])).
% 8.48/2.13  tff(f45397,plain,(
% 8.48/2.13    ( ! [X4 : $tType,X6 : num,X7 : X4,X5 : X4] : (aa(X4,product_prod(X4,X4),aa(X4,fun(X4,product_prod(X4,X4)),product_Pair(X4,X4),aa(X4,X4,aa(X4,fun(X4,X4),plus_plus(X4),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),aa(num,X4,numeral_numeral(X4),aa(num,num,bit0,one2))),X7)),one_one(X4))),aa(X4,X4,aa(X4,fun(X4,X4),minus_minus(X4),X5),aa(num,X4,numeral_numeral(X4),X6))) = iG233(X4,X5,X6,X7) | ($true != aa(X4,$o,aa(X4,fun(X4,$o),ord_less_eq(X4),aa(num,X4,numeral_numeral(X4),X6)),X5))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26327])).
% 8.48/2.13  tff(f26327,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : num,X3 : X0] : (aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))),X3)),X1) = iG233(X0,X1,X2,X3) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(num,X0,numeral_numeral(X0),X2)),X1))) & ! [X4 : $tType,X5 : X4,X6 : num,X7 : X4] : (aa(X4,product_prod(X4,X4),aa(X4,fun(X4,product_prod(X4,X4)),product_Pair(X4,X4),aa(X4,X4,aa(X4,fun(X4,X4),plus_plus(X4),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),aa(num,X4,numeral_numeral(X4),aa(num,num,bit0,one2))),X7)),one_one(X4))),aa(X4,X4,aa(X4,fun(X4,X4),minus_minus(X4),X5),aa(num,X4,numeral_numeral(X4),X6))) = iG233(X4,X5,X6,X7) | ($true != aa(X4,$o,aa(X4,fun(X4,$o),ord_less_eq(X4),aa(num,X4,numeral_numeral(X4),X6)),X5)))),
% 8.48/2.13    inference(ennf_transformation,[],[f20877])).
% 8.48/2.13  tff(f20877,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : num,X3 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(num,X0,numeral_numeral(X0),X2)),X1)) => aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))),X3)),X1) = iG233(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : X4,X6 : num,X7 : X4] : (($true = aa(X4,$o,aa(X4,fun(X4,$o),ord_less_eq(X4),aa(num,X4,numeral_numeral(X4),X6)),X5)) => aa(X4,product_prod(X4,X4),aa(X4,fun(X4,product_prod(X4,X4)),product_Pair(X4,X4),aa(X4,X4,aa(X4,fun(X4,X4),plus_plus(X4),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),aa(num,X4,numeral_numeral(X4),aa(num,num,bit0,one2))),X7)),one_one(X4))),aa(X4,X4,aa(X4,fun(X4,X4),minus_minus(X4),X5),aa(num,X4,numeral_numeral(X4),X6))) = iG233(X4,X5,X6,X7))),
% 8.48/2.13    inference(flattening,[],[f20876])).
% 8.48/2.13  tff(f20876,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : num,X3 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(num,X0,numeral_numeral(X0),X2)),X1)) => aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))),X3)),X1) = iG233(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : X4,X6 : num,X7 : X4] : (($true = aa(X4,$o,aa(X4,fun(X4,$o),ord_less_eq(X4),aa(num,X4,numeral_numeral(X4),X6)),X5)) => aa(X4,product_prod(X4,X4),aa(X4,fun(X4,product_prod(X4,X4)),product_Pair(X4,X4),aa(X4,X4,aa(X4,fun(X4,X4),plus_plus(X4),aa(X4,X4,aa(X4,fun(X4,X4),times_times(X4),aa(num,X4,numeral_numeral(X4),aa(num,num,bit0,one2))),X7)),one_one(X4))),aa(X4,X4,aa(X4,fun(X4,X4),minus_minus(X4),X5),aa(num,X4,numeral_numeral(X4),X6))) = iG233(X4,X5,X6,X7))),
% 8.48/2.13    inference(rectify,[],[f11155])).
% 8.48/2.13  tff(f11155,plain,(
% 8.48/2.13    ! [X0 : $tType,X3 : X0,X1 : num,X2 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(num,X0,numeral_numeral(X0),X1)),X3)) => aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))),X2)),X3) = iG233(X0,X3,X1,X2)) & ! [X0 : $tType,X3 : X0,X1 : num,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(num,X0,numeral_numeral(X0),X1)),X3)) => aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))),X2)),one_one(X0))),aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X3),aa(num,X0,numeral_numeral(X0),X1))) = iG233(X0,X3,X1,X2))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG233])])).
% 8.48/2.13  tff(f45398,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : num,X3 : X0,X1 : X0] : (aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))),X3)),X1) = iG233(X0,X1,X2,X3) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(num,X0,numeral_numeral(X0),X2)),X1))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26327])).
% 8.48/2.13  tff(f61627,plain,(
% 8.48/2.13    ( ! [X3 : $tType,X5 : X3] : (one_one(X3) = iG234(X3,zero_zero(nat),X5)) )),
% 8.48/2.13    inference(equality_resolution,[],[f45395])).
% 8.48/2.13  tff(f45395,plain,(
% 8.48/2.13    ( ! [X3 : $tType,X4 : nat,X5 : X3] : (one_one(X3) = iG234(X3,X4,X5) | zero_zero(nat) != X4) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26326])).
% 8.48/2.13  tff(f26326,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : X0] : (divide_divide(X0,set_fo6178422350223883121st_nat(X0,aTP_Lamp_fk(X0,fun(nat,fun(X0,X0)),X2),zero_zero(nat),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat)),one_one(X0)),semiring_char_0_fact(X0,X1)) = iG234(X0,X1,X2) | zero_zero(nat) = X1) & ! [X3 : $tType,X4 : nat,X5 : X3] : (one_one(X3) = iG234(X3,X4,X5) | zero_zero(nat) != X4)),
% 8.48/2.13    inference(ennf_transformation,[],[f20875])).
% 8.48/2.13  tff(f20875,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : X0] : (zero_zero(nat) != X1 => divide_divide(X0,set_fo6178422350223883121st_nat(X0,aTP_Lamp_fk(X0,fun(nat,fun(X0,X0)),X2),zero_zero(nat),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat)),one_one(X0)),semiring_char_0_fact(X0,X1)) = iG234(X0,X1,X2)) & ! [X3 : $tType,X4 : nat,X5 : X3] : (zero_zero(nat) = X4 => one_one(X3) = iG234(X3,X4,X5))),
% 8.48/2.13    inference(flattening,[],[f20874])).
% 8.48/2.13  tff(f20874,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : X0] : (~zero_zero(nat) = X1 => divide_divide(X0,set_fo6178422350223883121st_nat(X0,aTP_Lamp_fk(X0,fun(nat,fun(X0,X0)),X2),zero_zero(nat),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat)),one_one(X0)),semiring_char_0_fact(X0,X1)) = iG234(X0,X1,X2)) & ! [X3 : $tType,X4 : nat,X5 : X3] : (zero_zero(nat) = X4 => one_one(X3) = iG234(X3,X4,X5))),
% 8.48/2.13    inference(rectify,[],[f11164])).
% 8.48/2.13  tff(f11164,plain,(
% 8.48/2.13    ! [X0 : $tType,X2 : nat,X1 : X0] : (~zero_zero(nat) = X2 => divide_divide(X0,set_fo6178422350223883121st_nat(X0,aTP_Lamp_fk(X0,fun(nat,fun(X0,X0)),X1),zero_zero(nat),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X2),one_one(nat)),one_one(X0)),semiring_char_0_fact(X0,X2)) = iG234(X0,X2,X1)) & ! [X0 : $tType,X2 : nat,X1 : X0] : (zero_zero(nat) = X2 => one_one(X0) = iG234(X0,X2,X1))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG234])])).
% 8.48/2.13  tff(f45396,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : X0,X1 : nat] : (divide_divide(X0,set_fo6178422350223883121st_nat(X0,aTP_Lamp_fk(X0,fun(nat,fun(X0,X0)),X2),zero_zero(nat),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat)),one_one(X0)),semiring_char_0_fact(X0,X1)) = iG234(X0,X1,X2) | zero_zero(nat) = X1) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26326])).
% 8.48/2.13  tff(f61626,plain,(
% 8.48/2.13    ( ! [X4 : $tType,X6 : X4,X7 : X4] : (zero_zero(X4) = iG235(X4,zero_zero(X4),X6,X7)) )),
% 8.48/2.13    inference(equality_resolution,[],[f45393])).
% 8.48/2.13  tff(f45393,plain,(
% 8.48/2.13    ( ! [X4 : $tType,X6 : X4,X7 : X4,X5 : X4] : (zero_zero(X4) = iG235(X4,X5,X6,X7) | zero_zero(X4) != X5) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26325])).
% 8.48/2.13  tff(f26325,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : (divide_divide(X0,X3,X2) = iG235(X0,X1,X2,X3) | zero_zero(X0) = X1) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : (zero_zero(X4) = iG235(X4,X5,X6,X7) | zero_zero(X4) != X5)),
% 8.48/2.13    inference(ennf_transformation,[],[f20873])).
% 8.48/2.13  tff(f20873,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : (zero_zero(X0) != X1 => divide_divide(X0,X3,X2) = iG235(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : (zero_zero(X4) = X5 => zero_zero(X4) = iG235(X4,X5,X6,X7))),
% 8.48/2.13    inference(flattening,[],[f20872])).
% 8.48/2.13  tff(f20872,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : (~zero_zero(X0) = X1 => divide_divide(X0,X3,X2) = iG235(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : (zero_zero(X4) = X5 => zero_zero(X4) = iG235(X4,X5,X6,X7))),
% 8.48/2.13    inference(rectify,[],[f11191])).
% 8.48/2.13  tff(f11191,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X3 : X0,X2 : X0] : (~zero_zero(X0) = X1 => divide_divide(X0,X2,X3) = iG235(X0,X1,X3,X2)) & ! [X0 : $tType,X1 : X0,X3 : X0,X2 : X0] : (zero_zero(X0) = X1 => zero_zero(X0) = iG235(X0,X1,X3,X2))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG235])])).
% 8.48/2.13  tff(f45394,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (divide_divide(X0,X3,X2) = iG235(X0,X1,X2,X3) | zero_zero(X0) = X1) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26325])).
% 8.48/2.13  tff(f45390,plain,(
% 8.48/2.13    ( ! [X4 : $tType,X6 : fun(nat,X4),X7 : fun(nat,X4),X5 : set(nat)] : (divide_divide(X4,aa(nat,X4,X7,zero_zero(nat)),aa(nat,X4,X6,zero_zero(nat))) = iG236(X4,X5,X6,X7) | ~member(nat,zero_zero(nat),X5) | ~finite_finite(nat,X5)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26324])).
% 8.48/2.13  tff(f26324,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : set(nat),X2 : fun(nat,X0),X3 : fun(nat,X0)] : (zero_zero(X0) = iG236(X0,X1,X2,X3) | (member(nat,zero_zero(nat),X1) & finite_finite(nat,X1))) & ! [X4 : $tType,X5 : set(nat),X6 : fun(nat,X4),X7 : fun(nat,X4)] : (divide_divide(X4,aa(nat,X4,X7,zero_zero(nat)),aa(nat,X4,X6,zero_zero(nat))) = iG236(X4,X5,X6,X7) | ~member(nat,zero_zero(nat),X5) | ~finite_finite(nat,X5))),
% 8.48/2.13    inference(flattening,[],[f26323])).
% 8.48/2.13  tff(f26323,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : set(nat),X2 : fun(nat,X0),X3 : fun(nat,X0)] : (zero_zero(X0) = iG236(X0,X1,X2,X3) | (member(nat,zero_zero(nat),X1) & finite_finite(nat,X1))) & ! [X4 : $tType,X5 : set(nat),X6 : fun(nat,X4),X7 : fun(nat,X4)] : (divide_divide(X4,aa(nat,X4,X7,zero_zero(nat)),aa(nat,X4,X6,zero_zero(nat))) = iG236(X4,X5,X6,X7) | (~member(nat,zero_zero(nat),X5) | ~finite_finite(nat,X5)))),
% 8.48/2.13    inference(ennf_transformation,[],[f20871])).
% 8.48/2.13  tff(f20871,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : set(nat),X2 : fun(nat,X0),X3 : fun(nat,X0)] : (~(member(nat,zero_zero(nat),X1) & finite_finite(nat,X1)) => zero_zero(X0) = iG236(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : set(nat),X6 : fun(nat,X4),X7 : fun(nat,X4)] : ((member(nat,zero_zero(nat),X5) & finite_finite(nat,X5)) => divide_divide(X4,aa(nat,X4,X7,zero_zero(nat)),aa(nat,X4,X6,zero_zero(nat))) = iG236(X4,X5,X6,X7))),
% 8.48/2.13    inference(rectify,[],[f11194])).
% 8.48/2.13  tff(f11194,plain,(
% 8.48/2.13    ! [X0 : $tType,X3 : set(nat),X2 : fun(nat,X0),X1 : fun(nat,X0)] : (~(member(nat,zero_zero(nat),X3) & finite_finite(nat,X3)) => zero_zero(X0) = iG236(X0,X3,X2,X1)) & ! [X0 : $tType,X3 : set(nat),X2 : fun(nat,X0),X1 : fun(nat,X0)] : ((member(nat,zero_zero(nat),X3) & finite_finite(nat,X3)) => divide_divide(X0,aa(nat,X0,X1,zero_zero(nat)),aa(nat,X0,X2,zero_zero(nat))) = iG236(X0,X3,X2,X1))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG236])])).
% 8.48/2.13  tff(f45391,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : fun(nat,X0),X3 : fun(nat,X0),X1 : set(nat)] : (zero_zero(X0) = iG236(X0,X1,X2,X3) | finite_finite(nat,X1)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26324])).
% 8.48/2.13  tff(f45392,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : fun(nat,X0),X3 : fun(nat,X0),X1 : set(nat)] : (zero_zero(X0) = iG236(X0,X1,X2,X3) | member(nat,zero_zero(nat),X1)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26324])).
% 8.48/2.13  tff(f45388,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X0 : X1] : (($true = bG237(X1,X0)) | dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36453])).
% 8.48/2.13  tff(f36453,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType] : ((~dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0) | ($true != bG237(X1,X0))) & (($true = bG237(X1,X0)) | dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20870])).
% 8.48/2.13  tff(f20870,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType] : (~dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0) <=> ($true = bG237(X1,X0)))),
% 8.48/2.13    inference(rectify,[],[f11197])).
% 8.48/2.13  tff(f11197,plain,(
% 8.48/2.13    ! [X1 : X0,X0 : $tType] : (~dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),X1) <=> ($true = bG237(X0,X1)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG237])])).
% 8.48/2.13  tff(f45389,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X0 : X1] : (~dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0) | ($true != bG237(X1,X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36453])).
% 8.48/2.13  tff(f61625,plain,(
% 8.48/2.13    ( ! [X2 : $tType] : (zero_zero(X2) = iG238(X2,zero_zero(X2))) )),
% 8.48/2.13    inference(equality_resolution,[],[f45386])).
% 8.48/2.13  tff(f45386,plain,(
% 8.48/2.13    ( ! [X2 : $tType,X3 : X2] : (zero_zero(X2) = iG238(X2,X3) | zero_zero(X2) != X3) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26322])).
% 8.48/2.13  tff(f26322,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0] : (one_one(X0) = iG238(X0,X1) | zero_zero(X0) = X1) & ! [X2 : $tType,X3 : X2] : (zero_zero(X2) = iG238(X2,X3) | zero_zero(X2) != X3)),
% 8.48/2.13    inference(ennf_transformation,[],[f20869])).
% 8.48/2.13  tff(f20869,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0] : (zero_zero(X0) != X1 => one_one(X0) = iG238(X0,X1)) & ! [X2 : $tType,X3 : X2] : (zero_zero(X2) = X3 => zero_zero(X2) = iG238(X2,X3))),
% 8.48/2.13    inference(flattening,[],[f20868])).
% 8.48/2.13  tff(f20868,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0] : (~zero_zero(X0) = X1 => one_one(X0) = iG238(X0,X1)) & ! [X2 : $tType,X3 : X2] : (zero_zero(X2) = X3 => zero_zero(X2) = iG238(X2,X3))),
% 8.48/2.13    inference(rectify,[],[f11222])).
% 8.48/2.13  tff(f11222,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0] : (~zero_zero(X0) = X1 => one_one(X0) = iG238(X0,X1)) & ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = X1 => zero_zero(X0) = iG238(X0,X1))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG238])])).
% 8.48/2.13  tff(f45387,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X1 : X0] : (one_one(X0) = iG238(X0,X1) | zero_zero(X0) = X1) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26322])).
% 8.48/2.13  tff(f45383,plain,(
% 8.48/2.13    ( ! [X3 : $tType,X4 : set(nat),X5 : fun(nat,X3)] : (aa(nat,X3,X5,zero_zero(nat)) = iG239(X3,X4,X5) | ~member(nat,zero_zero(nat),X4) | ~finite_finite(nat,X4)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26321])).
% 8.48/2.13  tff(f26321,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : set(nat),X2 : fun(nat,X0)] : (zero_zero(X0) = iG239(X0,X1,X2) | (member(nat,zero_zero(nat),X1) & finite_finite(nat,X1))) & ! [X3 : $tType,X4 : set(nat),X5 : fun(nat,X3)] : (aa(nat,X3,X5,zero_zero(nat)) = iG239(X3,X4,X5) | ~member(nat,zero_zero(nat),X4) | ~finite_finite(nat,X4))),
% 8.48/2.13    inference(flattening,[],[f26320])).
% 8.48/2.13  tff(f26320,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : set(nat),X2 : fun(nat,X0)] : (zero_zero(X0) = iG239(X0,X1,X2) | (member(nat,zero_zero(nat),X1) & finite_finite(nat,X1))) & ! [X3 : $tType,X4 : set(nat),X5 : fun(nat,X3)] : (aa(nat,X3,X5,zero_zero(nat)) = iG239(X3,X4,X5) | (~member(nat,zero_zero(nat),X4) | ~finite_finite(nat,X4)))),
% 8.48/2.13    inference(ennf_transformation,[],[f20867])).
% 8.48/2.13  tff(f20867,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : set(nat),X2 : fun(nat,X0)] : (~(member(nat,zero_zero(nat),X1) & finite_finite(nat,X1)) => zero_zero(X0) = iG239(X0,X1,X2)) & ! [X3 : $tType,X4 : set(nat),X5 : fun(nat,X3)] : ((member(nat,zero_zero(nat),X4) & finite_finite(nat,X4)) => aa(nat,X3,X5,zero_zero(nat)) = iG239(X3,X4,X5))),
% 8.48/2.13    inference(rectify,[],[f11225])).
% 8.48/2.13  tff(f11225,plain,(
% 8.48/2.13    ! [X0 : $tType,X2 : set(nat),X1 : fun(nat,X0)] : (~(member(nat,zero_zero(nat),X2) & finite_finite(nat,X2)) => zero_zero(X0) = iG239(X0,X2,X1)) & ! [X0 : $tType,X2 : set(nat),X1 : fun(nat,X0)] : ((member(nat,zero_zero(nat),X2) & finite_finite(nat,X2)) => aa(nat,X0,X1,zero_zero(nat)) = iG239(X0,X2,X1))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG239])])).
% 8.48/2.13  tff(f45384,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : fun(nat,X0),X1 : set(nat)] : (zero_zero(X0) = iG239(X0,X1,X2) | finite_finite(nat,X1)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26321])).
% 8.48/2.13  tff(f45385,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : fun(nat,X0),X1 : set(nat)] : (zero_zero(X0) = iG239(X0,X1,X2) | member(nat,zero_zero(nat),X1)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26321])).
% 8.48/2.13  tff(f61624,plain,(
% 8.48/2.13    ( ! [X4 : $tType,X6 : X4,X7 : X4] : (iG240(X4,zero_zero(X4),X6,X7) = X7) )),
% 8.48/2.13    inference(equality_resolution,[],[f45381])).
% 8.48/2.13  tff(f45381,plain,(
% 8.48/2.13    ( ! [X4 : $tType,X6 : X4,X7 : X4,X5 : X4] : (iG240(X4,X5,X6,X7) = X7 | zero_zero(X4) != X5) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26319])).
% 8.48/2.13  tff(f26319,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : (divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X1)),X2),X1) = iG240(X0,X1,X2,X3) | zero_zero(X0) = X1) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : (iG240(X4,X5,X6,X7) = X7 | zero_zero(X4) != X5)),
% 8.48/2.13    inference(ennf_transformation,[],[f20866])).
% 8.48/2.13  tff(f20866,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : (zero_zero(X0) != X1 => divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X1)),X2),X1) = iG240(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : (zero_zero(X4) = X5 => iG240(X4,X5,X6,X7) = X7)),
% 8.48/2.13    inference(flattening,[],[f20865])).
% 8.48/2.13  tff(f20865,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : (~zero_zero(X0) = X1 => divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X1)),X2),X1) = iG240(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : (zero_zero(X4) = X5 => iG240(X4,X5,X6,X7) = X7)),
% 8.48/2.13    inference(rectify,[],[f11228])).
% 8.48/2.13  tff(f11228,plain,(
% 8.48/2.13    ! [X0 : $tType,X3 : X0,X2 : X0,X1 : X0] : (~zero_zero(X0) = X3 => divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3)),X2),X3) = iG240(X0,X3,X2,X1)) & ! [X0 : $tType,X3 : X0,X2 : X0,X1 : X0] : (zero_zero(X0) = X3 => iG240(X0,X3,X2,X1) = X1)),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG240])])).
% 8.48/2.13  tff(f45382,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X1)),X2),X1) = iG240(X0,X1,X2,X3) | zero_zero(X0) = X1) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26319])).
% 8.48/2.13  tff(f61623,plain,(
% 8.48/2.13    ( ! [X4 : $tType,X6 : X4,X7 : X4] : (iG241(X4,zero_zero(X4),X6,X7) = X7) )),
% 8.48/2.13    inference(equality_resolution,[],[f45379])).
% 8.48/2.13  tff(f45379,plain,(
% 8.48/2.13    ( ! [X4 : $tType,X6 : X4,X7 : X4,X5 : X4] : (iG241(X4,X5,X6,X7) = X7 | zero_zero(X4) != X5) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26318])).
% 8.48/2.13  tff(f26318,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : (divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X1)),X2),X1) = iG241(X0,X1,X2,X3) | zero_zero(X0) = X1) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : (iG241(X4,X5,X6,X7) = X7 | zero_zero(X4) != X5)),
% 8.48/2.13    inference(ennf_transformation,[],[f20864])).
% 8.48/2.13  tff(f20864,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : (zero_zero(X0) != X1 => divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X1)),X2),X1) = iG241(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : (zero_zero(X4) = X5 => iG241(X4,X5,X6,X7) = X7)),
% 8.48/2.13    inference(flattening,[],[f20863])).
% 8.48/2.13  tff(f20863,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : (~zero_zero(X0) = X1 => divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X1)),X2),X1) = iG241(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : (zero_zero(X4) = X5 => iG241(X4,X5,X6,X7) = X7)),
% 8.48/2.13    inference(rectify,[],[f11231])).
% 8.48/2.13  tff(f11231,plain,(
% 8.48/2.13    ! [X0 : $tType,X3 : X0,X2 : X0,X1 : X0] : (~zero_zero(X0) = X3 => divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3)),X2),X3) = iG241(X0,X3,X2,X1)) & ! [X0 : $tType,X3 : X0,X2 : X0,X1 : X0] : (zero_zero(X0) = X3 => iG241(X0,X3,X2,X1) = X1)),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG241])])).
% 8.48/2.13  tff(f45380,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X1)),X2),X1) = iG241(X0,X1,X2,X3) | zero_zero(X0) = X1) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26318])).
% 8.48/2.13  tff(f61622,plain,(
% 8.48/2.13    ( ! [X4 : $tType,X6 : X4,X7 : X4] : (aa(X4,X4,uminus_uminus(X4),X6) = iG242(X4,zero_zero(X4),X6,X7)) )),
% 8.48/2.13    inference(equality_resolution,[],[f45377])).
% 8.48/2.13  tff(f45377,plain,(
% 8.48/2.13    ( ! [X4 : $tType,X6 : X4,X7 : X4,X5 : X4] : (aa(X4,X4,uminus_uminus(X4),X6) = iG242(X4,X5,X6,X7) | zero_zero(X4) != X5) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26317])).
% 8.48/2.13  tff(f26317,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : (divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X3),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X2),X1)),X1) = iG242(X0,X1,X2,X3) | zero_zero(X0) = X1) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : (aa(X4,X4,uminus_uminus(X4),X6) = iG242(X4,X5,X6,X7) | zero_zero(X4) != X5)),
% 8.48/2.13    inference(ennf_transformation,[],[f20862])).
% 8.48/2.13  tff(f20862,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : (zero_zero(X0) != X1 => divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X3),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X2),X1)),X1) = iG242(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : (zero_zero(X4) = X5 => aa(X4,X4,uminus_uminus(X4),X6) = iG242(X4,X5,X6,X7))),
% 8.48/2.13    inference(flattening,[],[f20861])).
% 8.48/2.13  tff(f20861,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : (~zero_zero(X0) = X1 => divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X3),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X2),X1)),X1) = iG242(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : (zero_zero(X4) = X5 => aa(X4,X4,uminus_uminus(X4),X6) = iG242(X4,X5,X6,X7))),
% 8.48/2.13    inference(rectify,[],[f11234])).
% 8.48/2.13  tff(f11234,plain,(
% 8.48/2.13    ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (~zero_zero(X0) = X2 => divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X1),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X2)),X2) = iG242(X0,X2,X3,X1)) & ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (zero_zero(X0) = X2 => aa(X0,X0,uminus_uminus(X0),X3) = iG242(X0,X2,X3,X1))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG242])])).
% 8.48/2.13  tff(f45378,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X3),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X2),X1)),X1) = iG242(X0,X1,X2,X3) | zero_zero(X0) = X1) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26317])).
% 8.48/2.13  tff(f61621,plain,(
% 8.48/2.13    ( ! [X4 : $tType,X6 : X4,X7 : X4] : (iG243(X4,zero_zero(X4),X6,X7) = X6) )),
% 8.48/2.13    inference(equality_resolution,[],[f45375])).
% 8.48/2.13  tff(f45375,plain,(
% 8.48/2.13    ( ! [X4 : $tType,X6 : X4,X7 : X4,X5 : X4] : (iG243(X4,X5,X6,X7) = X6 | zero_zero(X4) != X5) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26316])).
% 8.48/2.13  tff(f26316,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : (divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X3),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X2),X1)),X1) = iG243(X0,X1,X2,X3) | zero_zero(X0) = X1) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : (iG243(X4,X5,X6,X7) = X6 | zero_zero(X4) != X5)),
% 8.48/2.13    inference(ennf_transformation,[],[f20860])).
% 8.48/2.13  tff(f20860,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : (zero_zero(X0) != X1 => divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X3),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X2),X1)),X1) = iG243(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : (zero_zero(X4) = X5 => iG243(X4,X5,X6,X7) = X6)),
% 8.48/2.13    inference(flattening,[],[f20859])).
% 8.48/2.13  tff(f20859,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : (~zero_zero(X0) = X1 => divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X3),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X2),X1)),X1) = iG243(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : (zero_zero(X4) = X5 => iG243(X4,X5,X6,X7) = X6)),
% 8.48/2.13    inference(rectify,[],[f11237])).
% 8.48/2.13  tff(f11237,plain,(
% 8.48/2.13    ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (~zero_zero(X0) = X2 => divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X2)),X2) = iG243(X0,X2,X3,X1)) & ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (zero_zero(X0) = X2 => iG243(X0,X2,X3,X1) = X3)),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG243])])).
% 8.48/2.13  tff(f45376,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X3),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X2),X1)),X1) = iG243(X0,X1,X2,X3) | zero_zero(X0) = X1) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26316])).
% 8.48/2.13  tff(f61620,plain,(
% 8.48/2.13    ( ! [X4 : $tType,X6 : X4,X7 : X4] : (aa(X4,X4,uminus_uminus(X4),X6) = iG244(X4,zero_zero(X4),X6,X7)) )),
% 8.48/2.13    inference(equality_resolution,[],[f45373])).
% 8.48/2.13  tff(f45373,plain,(
% 8.48/2.13    ( ! [X4 : $tType,X6 : X4,X7 : X4,X5 : X4] : (aa(X4,X4,uminus_uminus(X4),X6) = iG244(X4,X5,X6,X7) | zero_zero(X4) != X5) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26315])).
% 8.48/2.13  tff(f26315,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : (divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),aa(X0,X0,uminus_uminus(X0),X3)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X2),X1)),X1) = iG244(X0,X1,X2,X3) | zero_zero(X0) = X1) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : (aa(X4,X4,uminus_uminus(X4),X6) = iG244(X4,X5,X6,X7) | zero_zero(X4) != X5)),
% 8.48/2.13    inference(ennf_transformation,[],[f20858])).
% 8.48/2.13  tff(f20858,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : (zero_zero(X0) != X1 => divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),aa(X0,X0,uminus_uminus(X0),X3)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X2),X1)),X1) = iG244(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : (zero_zero(X4) = X5 => aa(X4,X4,uminus_uminus(X4),X6) = iG244(X4,X5,X6,X7))),
% 8.48/2.13    inference(flattening,[],[f20857])).
% 8.48/2.13  tff(f20857,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : (~zero_zero(X0) = X1 => divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),aa(X0,X0,uminus_uminus(X0),X3)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X2),X1)),X1) = iG244(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : (zero_zero(X4) = X5 => aa(X4,X4,uminus_uminus(X4),X6) = iG244(X4,X5,X6,X7))),
% 8.48/2.13    inference(rectify,[],[f11240])).
% 8.48/2.13  tff(f11240,plain,(
% 8.48/2.13    ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (~zero_zero(X0) = X2 => divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),aa(X0,X0,uminus_uminus(X0),X1)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X2)),X2) = iG244(X0,X2,X3,X1)) & ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (zero_zero(X0) = X2 => aa(X0,X0,uminus_uminus(X0),X3) = iG244(X0,X2,X3,X1))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG244])])).
% 8.48/2.13  tff(f45374,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),aa(X0,X0,uminus_uminus(X0),X3)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X2),X1)),X1) = iG244(X0,X1,X2,X3) | zero_zero(X0) = X1) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26315])).
% 8.48/2.13  tff(f61619,plain,(
% 8.48/2.13    ( ! [X4 : $tType,X6 : X4,X7 : X4] : (iG245(X4,zero_zero(X4),X6,X7) = X6) )),
% 8.48/2.13    inference(equality_resolution,[],[f45371])).
% 8.48/2.13  tff(f45371,plain,(
% 8.48/2.13    ( ! [X4 : $tType,X6 : X4,X7 : X4,X5 : X4] : (iG245(X4,X5,X6,X7) = X6 | zero_zero(X4) != X5) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26314])).
% 8.48/2.13  tff(f26314,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : (divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X0,X0,uminus_uminus(X0),X3)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X2),X1)),X1) = iG245(X0,X1,X2,X3) | zero_zero(X0) = X1) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : (iG245(X4,X5,X6,X7) = X6 | zero_zero(X4) != X5)),
% 8.48/2.13    inference(ennf_transformation,[],[f20856])).
% 8.48/2.13  tff(f20856,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : (zero_zero(X0) != X1 => divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X0,X0,uminus_uminus(X0),X3)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X2),X1)),X1) = iG245(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : (zero_zero(X4) = X5 => iG245(X4,X5,X6,X7) = X6)),
% 8.48/2.13    inference(flattening,[],[f20855])).
% 8.48/2.13  tff(f20855,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0] : (~zero_zero(X0) = X1 => divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X0,X0,uminus_uminus(X0),X3)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X2),X1)),X1) = iG245(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : X4] : (zero_zero(X4) = X5 => iG245(X4,X5,X6,X7) = X6)),
% 8.48/2.13    inference(rectify,[],[f11243])).
% 8.48/2.13  tff(f11243,plain,(
% 8.48/2.13    ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (~zero_zero(X0) = X2 => divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X0,X0,uminus_uminus(X0),X1)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X2)),X2) = iG245(X0,X2,X3,X1)) & ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (zero_zero(X0) = X2 => iG245(X0,X2,X3,X1) = X3)),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG245])])).
% 8.48/2.13  tff(f45372,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X0,X0,uminus_uminus(X0),X3)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X2),X1)),X1) = iG245(X0,X1,X2,X3) | zero_zero(X0) = X1) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26314])).
% 8.48/2.13  tff(f45367,plain,(
% 8.48/2.13    ( ! [X5 : $tType,X6 : X5,X7 : X5,X4 : X5] : (aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4) = X7 | ~iG246(X5,X4,X6,X7) | zero_zero(X5) = X4) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36452])).
% 8.48/2.13  tff(f36452,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : X1,X3 : X1] : (((iG246(X1,X0,X2,X3) | zero_zero(X1) != X2) & (zero_zero(X1) = X2 | ~iG246(X1,X0,X2,X3))) | zero_zero(X1) != X0) & ! [X4 : X5,X5 : $tType,X6 : X5,X7 : X5] : (((iG246(X5,X4,X6,X7) | aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4) != X7) & (aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4) = X7 | ~iG246(X5,X4,X6,X7))) | zero_zero(X5) = X4)),
% 8.48/2.13    inference(nnf_transformation,[],[f26313])).
% 8.48/2.13  tff(f26313,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : X1,X3 : X1] : ((iG246(X1,X0,X2,X3) <=> zero_zero(X1) = X2) | zero_zero(X1) != X0) & ! [X4 : X5,X5 : $tType,X6 : X5,X7 : X5] : ((iG246(X5,X4,X6,X7) <=> aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4) = X7) | zero_zero(X5) = X4)),
% 8.48/2.13    inference(ennf_transformation,[],[f20854])).
% 8.48/2.13  tff(f20854,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : X1,X3 : X1] : (zero_zero(X1) = X0 => (iG246(X1,X0,X2,X3) <=> zero_zero(X1) = X2)) & ! [X4 : X5,X5 : $tType,X6 : X5,X7 : X5] : (zero_zero(X5) != X4 => (iG246(X5,X4,X6,X7) <=> aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4) = X7))),
% 8.48/2.13    inference(flattening,[],[f20853])).
% 8.48/2.13  tff(f20853,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : X1,X3 : X1] : (~zero_zero(X1) != X0 => (iG246(X1,X0,X2,X3) <=> zero_zero(X1) = X2)) & ! [X4 : X5,X5 : $tType,X6 : X5,X7 : X5] : (zero_zero(X5) != X4 => (iG246(X5,X4,X6,X7) <=> aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4) = X7))),
% 8.48/2.13    inference(rectify,[],[f11248])).
% 8.48/2.13  tff(f11248,plain,(
% 8.48/2.13    ! [X2 : X0,X0 : $tType,X3 : X0,X1 : X0] : (~zero_zero(X0) != X2 => (iG246(X0,X2,X3,X1) <=> zero_zero(X0) = X3)) & ! [X2 : X0,X0 : $tType,X3 : X0,X1 : X0] : (zero_zero(X0) != X2 => (iG246(X0,X2,X3,X1) <=> aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X2) = X1))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG246])])).
% 8.48/2.13  tff(f61618,plain,(
% 8.48/2.13    ( ! [X5 : $tType,X6 : X5,X4 : X5] : (iG246(X5,X4,X6,aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4)) | zero_zero(X5) = X4) )),
% 8.48/2.13    inference(equality_resolution,[],[f45368])).
% 8.48/2.13  tff(f45368,plain,(
% 8.48/2.13    ( ! [X5 : $tType,X6 : X5,X7 : X5,X4 : X5] : (iG246(X5,X4,X6,X7) | aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4) != X7 | zero_zero(X5) = X4) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36452])).
% 8.48/2.13  tff(f61617,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X2 : X1,X3 : X1] : (zero_zero(X1) = X2 | ~iG246(X1,zero_zero(X1),X2,X3)) )),
% 8.48/2.13    inference(equality_resolution,[],[f45369])).
% 8.48/2.13  tff(f45369,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : X1] : (zero_zero(X1) = X2 | ~iG246(X1,X0,X2,X3) | zero_zero(X1) != X0) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36452])).
% 8.48/2.13  tff(f61616,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X3 : X1] : (iG246(X1,zero_zero(X1),zero_zero(X1),X3)) )),
% 8.48/2.13    inference(equality_resolution,[],[f61615])).
% 8.48/2.13  tff(f61615,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X3 : X1,X0 : X1] : (iG246(X1,X0,zero_zero(X1),X3) | zero_zero(X1) != X0) )),
% 8.48/2.13    inference(equality_resolution,[],[f45370])).
% 8.48/2.13  tff(f45370,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : X1] : (iG246(X1,X0,X2,X3) | zero_zero(X1) != X2 | zero_zero(X1) != X0) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36452])).
% 8.48/2.13  tff(f45363,plain,(
% 8.48/2.13    ( ! [X5 : $tType,X6 : X5,X7 : X5,X4 : X5] : (aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4) = X7 | ~iG247(X5,X4,X6,X7) | zero_zero(X5) = X4) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36451])).
% 8.48/2.13  tff(f36451,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : X1,X3 : X1] : (((iG247(X1,X0,X2,X3) | zero_zero(X1) != X2) & (zero_zero(X1) = X2 | ~iG247(X1,X0,X2,X3))) | zero_zero(X1) != X0) & ! [X4 : X5,X5 : $tType,X6 : X5,X7 : X5] : (((iG247(X5,X4,X6,X7) | aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4) != X7) & (aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4) = X7 | ~iG247(X5,X4,X6,X7))) | zero_zero(X5) = X4)),
% 8.48/2.13    inference(nnf_transformation,[],[f26312])).
% 8.48/2.13  tff(f26312,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : X1,X3 : X1] : ((iG247(X1,X0,X2,X3) <=> zero_zero(X1) = X2) | zero_zero(X1) != X0) & ! [X4 : X5,X5 : $tType,X6 : X5,X7 : X5] : ((iG247(X5,X4,X6,X7) <=> aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4) = X7) | zero_zero(X5) = X4)),
% 8.48/2.13    inference(ennf_transformation,[],[f20852])).
% 8.48/2.13  tff(f20852,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : X1,X3 : X1] : (zero_zero(X1) = X0 => (iG247(X1,X0,X2,X3) <=> zero_zero(X1) = X2)) & ! [X4 : X5,X5 : $tType,X6 : X5,X7 : X5] : (zero_zero(X5) != X4 => (iG247(X5,X4,X6,X7) <=> aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4) = X7))),
% 8.48/2.13    inference(flattening,[],[f20851])).
% 8.48/2.13  tff(f20851,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : X1,X3 : X1] : (~zero_zero(X1) != X0 => (iG247(X1,X0,X2,X3) <=> zero_zero(X1) = X2)) & ! [X4 : X5,X5 : $tType,X6 : X5,X7 : X5] : (zero_zero(X5) != X4 => (iG247(X5,X4,X6,X7) <=> aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4) = X7))),
% 8.48/2.13    inference(rectify,[],[f11251])).
% 8.48/2.13  tff(f11251,plain,(
% 8.48/2.13    ! [X3 : X0,X0 : $tType,X1 : X0,X2 : X0] : (~zero_zero(X0) != X3 => (iG247(X0,X3,X1,X2) <=> zero_zero(X0) = X1)) & ! [X3 : X0,X0 : $tType,X1 : X0,X2 : X0] : (zero_zero(X0) != X3 => (iG247(X0,X3,X1,X2) <=> aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3) = X2))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG247])])).
% 8.48/2.13  tff(f61614,plain,(
% 8.48/2.13    ( ! [X5 : $tType,X6 : X5,X4 : X5] : (iG247(X5,X4,X6,aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4)) | zero_zero(X5) = X4) )),
% 8.48/2.13    inference(equality_resolution,[],[f45364])).
% 8.48/2.13  tff(f45364,plain,(
% 8.48/2.13    ( ! [X5 : $tType,X6 : X5,X7 : X5,X4 : X5] : (iG247(X5,X4,X6,X7) | aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4) != X7 | zero_zero(X5) = X4) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36451])).
% 8.48/2.13  tff(f61613,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X2 : X1,X3 : X1] : (zero_zero(X1) = X2 | ~iG247(X1,zero_zero(X1),X2,X3)) )),
% 8.48/2.13    inference(equality_resolution,[],[f45365])).
% 8.48/2.13  tff(f45365,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : X1] : (zero_zero(X1) = X2 | ~iG247(X1,X0,X2,X3) | zero_zero(X1) != X0) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36451])).
% 8.48/2.13  tff(f61612,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X3 : X1] : (iG247(X1,zero_zero(X1),zero_zero(X1),X3)) )),
% 8.48/2.13    inference(equality_resolution,[],[f61611])).
% 8.48/2.13  tff(f61611,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X3 : X1,X0 : X1] : (iG247(X1,X0,zero_zero(X1),X3) | zero_zero(X1) != X0) )),
% 8.48/2.13    inference(equality_resolution,[],[f45366])).
% 8.48/2.13  tff(f45366,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : X1] : (iG247(X1,X0,X2,X3) | zero_zero(X1) != X2 | zero_zero(X1) != X0) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36451])).
% 8.48/2.13  tff(f45359,plain,(
% 8.48/2.13    ( ! [X5 : $tType,X6 : num,X7 : X5,X4 : X5] : (aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),aa(num,X5,numeral_numeral(X5),X6)),X4) = X7 | ~iG248(X5,X4,X6,X7) | zero_zero(X5) = X4) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36450])).
% 8.48/2.13  tff(f36450,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : num,X3 : X1] : (((iG248(X1,X0,X2,X3) | zero_zero(X1) != aa(num,X1,numeral_numeral(X1),X2)) & (zero_zero(X1) = aa(num,X1,numeral_numeral(X1),X2) | ~iG248(X1,X0,X2,X3))) | zero_zero(X1) != X0) & ! [X4 : X5,X5 : $tType,X6 : num,X7 : X5] : (((iG248(X5,X4,X6,X7) | aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),aa(num,X5,numeral_numeral(X5),X6)),X4) != X7) & (aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),aa(num,X5,numeral_numeral(X5),X6)),X4) = X7 | ~iG248(X5,X4,X6,X7))) | zero_zero(X5) = X4)),
% 8.48/2.13    inference(nnf_transformation,[],[f26311])).
% 8.48/2.13  tff(f26311,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : num,X3 : X1] : ((iG248(X1,X0,X2,X3) <=> zero_zero(X1) = aa(num,X1,numeral_numeral(X1),X2)) | zero_zero(X1) != X0) & ! [X4 : X5,X5 : $tType,X6 : num,X7 : X5] : ((iG248(X5,X4,X6,X7) <=> aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),aa(num,X5,numeral_numeral(X5),X6)),X4) = X7) | zero_zero(X5) = X4)),
% 8.48/2.13    inference(ennf_transformation,[],[f20850])).
% 8.48/2.13  tff(f20850,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : num,X3 : X1] : (zero_zero(X1) = X0 => (iG248(X1,X0,X2,X3) <=> zero_zero(X1) = aa(num,X1,numeral_numeral(X1),X2))) & ! [X4 : X5,X5 : $tType,X6 : num,X7 : X5] : (zero_zero(X5) != X4 => (iG248(X5,X4,X6,X7) <=> aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),aa(num,X5,numeral_numeral(X5),X6)),X4) = X7))),
% 8.48/2.13    inference(flattening,[],[f20849])).
% 8.48/2.13  tff(f20849,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : num,X3 : X1] : (~zero_zero(X1) != X0 => (iG248(X1,X0,X2,X3) <=> zero_zero(X1) = aa(num,X1,numeral_numeral(X1),X2))) & ! [X4 : X5,X5 : $tType,X6 : num,X7 : X5] : (zero_zero(X5) != X4 => (iG248(X5,X4,X6,X7) <=> aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),aa(num,X5,numeral_numeral(X5),X6)),X4) = X7))),
% 8.48/2.13    inference(rectify,[],[f11254])).
% 8.48/2.13  tff(f11254,plain,(
% 8.48/2.13    ! [X2 : X0,X0 : $tType,X3 : num,X1 : X0] : (~zero_zero(X0) != X2 => (iG248(X0,X2,X3,X1) <=> zero_zero(X0) = aa(num,X0,numeral_numeral(X0),X3))) & ! [X2 : X0,X0 : $tType,X3 : num,X1 : X0] : (zero_zero(X0) != X2 => (iG248(X0,X2,X3,X1) <=> aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),X3)),X2) = X1))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG248])])).
% 8.48/2.13  tff(f61610,plain,(
% 8.48/2.13    ( ! [X5 : $tType,X6 : num,X4 : X5] : (iG248(X5,X4,X6,aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),aa(num,X5,numeral_numeral(X5),X6)),X4)) | zero_zero(X5) = X4) )),
% 8.48/2.13    inference(equality_resolution,[],[f45360])).
% 8.48/2.13  tff(f45360,plain,(
% 8.48/2.13    ( ! [X5 : $tType,X6 : num,X7 : X5,X4 : X5] : (iG248(X5,X4,X6,X7) | aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),aa(num,X5,numeral_numeral(X5),X6)),X4) != X7 | zero_zero(X5) = X4) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36450])).
% 8.48/2.13  tff(f61609,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X2 : num,X3 : X1] : (zero_zero(X1) = aa(num,X1,numeral_numeral(X1),X2) | ~iG248(X1,zero_zero(X1),X2,X3)) )),
% 8.48/2.13    inference(equality_resolution,[],[f45361])).
% 8.48/2.13  tff(f45361,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X2 : num,X3 : X1,X0 : X1] : (zero_zero(X1) = aa(num,X1,numeral_numeral(X1),X2) | ~iG248(X1,X0,X2,X3) | zero_zero(X1) != X0) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36450])).
% 8.48/2.13  tff(f61608,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X2 : num,X3 : X1] : (iG248(X1,zero_zero(X1),X2,X3) | zero_zero(X1) != aa(num,X1,numeral_numeral(X1),X2)) )),
% 8.48/2.13    inference(equality_resolution,[],[f45362])).
% 8.48/2.13  tff(f45362,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X2 : num,X3 : X1,X0 : X1] : (iG248(X1,X0,X2,X3) | zero_zero(X1) != aa(num,X1,numeral_numeral(X1),X2) | zero_zero(X1) != X0) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36450])).
% 8.48/2.13  tff(f45355,plain,(
% 8.48/2.13    ( ! [X5 : $tType,X6 : num,X7 : X5,X4 : X5] : (aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),aa(num,X5,numeral_numeral(X5),X6)),X4) = X7 | ~iG249(X5,X4,X6,X7) | zero_zero(X5) = X4) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36449])).
% 8.48/2.13  tff(f36449,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : num,X3 : X1] : (((iG249(X1,X0,X2,X3) | zero_zero(X1) != aa(num,X1,numeral_numeral(X1),X2)) & (zero_zero(X1) = aa(num,X1,numeral_numeral(X1),X2) | ~iG249(X1,X0,X2,X3))) | zero_zero(X1) != X0) & ! [X4 : X5,X5 : $tType,X6 : num,X7 : X5] : (((iG249(X5,X4,X6,X7) | aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),aa(num,X5,numeral_numeral(X5),X6)),X4) != X7) & (aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),aa(num,X5,numeral_numeral(X5),X6)),X4) = X7 | ~iG249(X5,X4,X6,X7))) | zero_zero(X5) = X4)),
% 8.48/2.13    inference(nnf_transformation,[],[f26310])).
% 8.48/2.13  tff(f26310,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : num,X3 : X1] : ((iG249(X1,X0,X2,X3) <=> zero_zero(X1) = aa(num,X1,numeral_numeral(X1),X2)) | zero_zero(X1) != X0) & ! [X4 : X5,X5 : $tType,X6 : num,X7 : X5] : ((iG249(X5,X4,X6,X7) <=> aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),aa(num,X5,numeral_numeral(X5),X6)),X4) = X7) | zero_zero(X5) = X4)),
% 8.48/2.13    inference(ennf_transformation,[],[f20848])).
% 8.48/2.13  tff(f20848,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : num,X3 : X1] : (zero_zero(X1) = X0 => (iG249(X1,X0,X2,X3) <=> zero_zero(X1) = aa(num,X1,numeral_numeral(X1),X2))) & ! [X4 : X5,X5 : $tType,X6 : num,X7 : X5] : (zero_zero(X5) != X4 => (iG249(X5,X4,X6,X7) <=> aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),aa(num,X5,numeral_numeral(X5),X6)),X4) = X7))),
% 8.48/2.13    inference(flattening,[],[f20847])).
% 8.48/2.13  tff(f20847,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : num,X3 : X1] : (~zero_zero(X1) != X0 => (iG249(X1,X0,X2,X3) <=> zero_zero(X1) = aa(num,X1,numeral_numeral(X1),X2))) & ! [X4 : X5,X5 : $tType,X6 : num,X7 : X5] : (zero_zero(X5) != X4 => (iG249(X5,X4,X6,X7) <=> aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),aa(num,X5,numeral_numeral(X5),X6)),X4) = X7))),
% 8.48/2.13    inference(rectify,[],[f11257])).
% 8.48/2.13  tff(f11257,plain,(
% 8.48/2.13    ! [X3 : X0,X0 : $tType,X1 : num,X2 : X0] : (~zero_zero(X0) != X3 => (iG249(X0,X3,X1,X2) <=> zero_zero(X0) = aa(num,X0,numeral_numeral(X0),X1))) & ! [X3 : X0,X0 : $tType,X1 : num,X2 : X0] : (zero_zero(X0) != X3 => (iG249(X0,X3,X1,X2) <=> aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),X1)),X3) = X2))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG249])])).
% 8.48/2.13  tff(f61607,plain,(
% 8.48/2.13    ( ! [X5 : $tType,X6 : num,X4 : X5] : (iG249(X5,X4,X6,aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),aa(num,X5,numeral_numeral(X5),X6)),X4)) | zero_zero(X5) = X4) )),
% 8.48/2.13    inference(equality_resolution,[],[f45356])).
% 8.48/2.13  tff(f45356,plain,(
% 8.48/2.13    ( ! [X5 : $tType,X6 : num,X7 : X5,X4 : X5] : (iG249(X5,X4,X6,X7) | aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),aa(num,X5,numeral_numeral(X5),X6)),X4) != X7 | zero_zero(X5) = X4) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36449])).
% 8.48/2.13  tff(f61606,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X2 : num,X3 : X1] : (zero_zero(X1) = aa(num,X1,numeral_numeral(X1),X2) | ~iG249(X1,zero_zero(X1),X2,X3)) )),
% 8.48/2.13    inference(equality_resolution,[],[f45357])).
% 8.48/2.13  tff(f45357,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X2 : num,X3 : X1,X0 : X1] : (zero_zero(X1) = aa(num,X1,numeral_numeral(X1),X2) | ~iG249(X1,X0,X2,X3) | zero_zero(X1) != X0) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36449])).
% 8.48/2.13  tff(f61605,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X2 : num,X3 : X1] : (iG249(X1,zero_zero(X1),X2,X3) | zero_zero(X1) != aa(num,X1,numeral_numeral(X1),X2)) )),
% 8.48/2.13    inference(equality_resolution,[],[f45358])).
% 8.48/2.13  tff(f45358,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X2 : num,X3 : X1,X0 : X1] : (iG249(X1,X0,X2,X3) | zero_zero(X1) != aa(num,X1,numeral_numeral(X1),X2) | zero_zero(X1) != X0) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36449])).
% 8.48/2.13  tff(f45351,plain,(
% 8.48/2.13    ( ! [X5 : $tType,X6 : X5,X7 : X5,X4 : num] : (aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),aa(num,X5,numeral_numeral(X5),X4)) = X7 | ~iG250(X5,X4,X6,X7) | zero_zero(X5) = aa(num,X5,numeral_numeral(X5),X4)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36448])).
% 8.48/2.13  tff(f36448,plain,(
% 8.48/2.13    ! [X0 : num,X1 : $tType,X2 : X1,X3 : X1] : (((iG250(X1,X0,X2,X3) | zero_zero(X1) != X2) & (zero_zero(X1) = X2 | ~iG250(X1,X0,X2,X3))) | zero_zero(X1) != aa(num,X1,numeral_numeral(X1),X0)) & ! [X4 : num,X5 : $tType,X6 : X5,X7 : X5] : (((iG250(X5,X4,X6,X7) | aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),aa(num,X5,numeral_numeral(X5),X4)) != X7) & (aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),aa(num,X5,numeral_numeral(X5),X4)) = X7 | ~iG250(X5,X4,X6,X7))) | zero_zero(X5) = aa(num,X5,numeral_numeral(X5),X4))),
% 8.48/2.13    inference(nnf_transformation,[],[f26309])).
% 8.48/2.13  tff(f26309,plain,(
% 8.48/2.13    ! [X0 : num,X1 : $tType,X2 : X1,X3 : X1] : ((iG250(X1,X0,X2,X3) <=> zero_zero(X1) = X2) | zero_zero(X1) != aa(num,X1,numeral_numeral(X1),X0)) & ! [X4 : num,X5 : $tType,X6 : X5,X7 : X5] : ((iG250(X5,X4,X6,X7) <=> aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),aa(num,X5,numeral_numeral(X5),X4)) = X7) | zero_zero(X5) = aa(num,X5,numeral_numeral(X5),X4))),
% 8.48/2.13    inference(ennf_transformation,[],[f20846])).
% 8.48/2.13  tff(f20846,plain,(
% 8.48/2.13    ! [X0 : num,X1 : $tType,X2 : X1,X3 : X1] : (zero_zero(X1) = aa(num,X1,numeral_numeral(X1),X0) => (iG250(X1,X0,X2,X3) <=> zero_zero(X1) = X2)) & ! [X4 : num,X5 : $tType,X6 : X5,X7 : X5] : (zero_zero(X5) != aa(num,X5,numeral_numeral(X5),X4) => (iG250(X5,X4,X6,X7) <=> aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),aa(num,X5,numeral_numeral(X5),X4)) = X7))),
% 8.48/2.13    inference(flattening,[],[f20845])).
% 8.48/2.13  tff(f20845,plain,(
% 8.48/2.13    ! [X0 : num,X1 : $tType,X2 : X1,X3 : X1] : (~zero_zero(X1) != aa(num,X1,numeral_numeral(X1),X0) => (iG250(X1,X0,X2,X3) <=> zero_zero(X1) = X2)) & ! [X4 : num,X5 : $tType,X6 : X5,X7 : X5] : (zero_zero(X5) != aa(num,X5,numeral_numeral(X5),X4) => (iG250(X5,X4,X6,X7) <=> aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),aa(num,X5,numeral_numeral(X5),X4)) = X7))),
% 8.48/2.13    inference(rectify,[],[f11260])).
% 8.48/2.13  tff(f11260,plain,(
% 8.48/2.13    ! [X2 : num,X0 : $tType,X3 : X0,X1 : X0] : (~zero_zero(X0) != aa(num,X0,numeral_numeral(X0),X2) => (iG250(X0,X2,X3,X1) <=> zero_zero(X0) = X3)) & ! [X2 : num,X0 : $tType,X3 : X0,X1 : X0] : (zero_zero(X0) != aa(num,X0,numeral_numeral(X0),X2) => (iG250(X0,X2,X3,X1) <=> aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),aa(num,X0,numeral_numeral(X0),X2)) = X1))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG250])])).
% 8.48/2.13  tff(f61604,plain,(
% 8.48/2.13    ( ! [X5 : $tType,X6 : X5,X4 : num] : (iG250(X5,X4,X6,aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),aa(num,X5,numeral_numeral(X5),X4))) | zero_zero(X5) = aa(num,X5,numeral_numeral(X5),X4)) )),
% 8.48/2.13    inference(equality_resolution,[],[f45352])).
% 8.48/2.13  tff(f45352,plain,(
% 8.48/2.13    ( ! [X5 : $tType,X6 : X5,X7 : X5,X4 : num] : (iG250(X5,X4,X6,X7) | aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),aa(num,X5,numeral_numeral(X5),X4)) != X7 | zero_zero(X5) = aa(num,X5,numeral_numeral(X5),X4)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36448])).
% 8.48/2.13  tff(f45353,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : num] : (zero_zero(X1) = X2 | ~iG250(X1,X0,X2,X3) | zero_zero(X1) != aa(num,X1,numeral_numeral(X1),X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36448])).
% 8.48/2.13  tff(f61603,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X3 : X1,X0 : num] : (iG250(X1,X0,zero_zero(X1),X3) | zero_zero(X1) != aa(num,X1,numeral_numeral(X1),X0)) )),
% 8.48/2.13    inference(equality_resolution,[],[f45354])).
% 8.48/2.13  tff(f45354,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : num] : (iG250(X1,X0,X2,X3) | zero_zero(X1) != X2 | zero_zero(X1) != aa(num,X1,numeral_numeral(X1),X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36448])).
% 8.48/2.13  tff(f45347,plain,(
% 8.48/2.13    ( ! [X5 : $tType,X6 : X5,X7 : X5,X4 : num] : (aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),aa(num,X5,numeral_numeral(X5),X4)) = X7 | ~iG251(X5,X4,X6,X7) | zero_zero(X5) = aa(num,X5,numeral_numeral(X5),X4)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36447])).
% 8.48/2.13  tff(f36447,plain,(
% 8.48/2.13    ! [X0 : num,X1 : $tType,X2 : X1,X3 : X1] : (((iG251(X1,X0,X2,X3) | zero_zero(X1) != X2) & (zero_zero(X1) = X2 | ~iG251(X1,X0,X2,X3))) | zero_zero(X1) != aa(num,X1,numeral_numeral(X1),X0)) & ! [X4 : num,X5 : $tType,X6 : X5,X7 : X5] : (((iG251(X5,X4,X6,X7) | aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),aa(num,X5,numeral_numeral(X5),X4)) != X7) & (aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),aa(num,X5,numeral_numeral(X5),X4)) = X7 | ~iG251(X5,X4,X6,X7))) | zero_zero(X5) = aa(num,X5,numeral_numeral(X5),X4))),
% 8.48/2.13    inference(nnf_transformation,[],[f26308])).
% 8.48/2.13  tff(f26308,plain,(
% 8.48/2.13    ! [X0 : num,X1 : $tType,X2 : X1,X3 : X1] : ((iG251(X1,X0,X2,X3) <=> zero_zero(X1) = X2) | zero_zero(X1) != aa(num,X1,numeral_numeral(X1),X0)) & ! [X4 : num,X5 : $tType,X6 : X5,X7 : X5] : ((iG251(X5,X4,X6,X7) <=> aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),aa(num,X5,numeral_numeral(X5),X4)) = X7) | zero_zero(X5) = aa(num,X5,numeral_numeral(X5),X4))),
% 8.48/2.13    inference(ennf_transformation,[],[f20844])).
% 8.48/2.13  tff(f20844,plain,(
% 8.48/2.13    ! [X0 : num,X1 : $tType,X2 : X1,X3 : X1] : (zero_zero(X1) = aa(num,X1,numeral_numeral(X1),X0) => (iG251(X1,X0,X2,X3) <=> zero_zero(X1) = X2)) & ! [X4 : num,X5 : $tType,X6 : X5,X7 : X5] : (zero_zero(X5) != aa(num,X5,numeral_numeral(X5),X4) => (iG251(X5,X4,X6,X7) <=> aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),aa(num,X5,numeral_numeral(X5),X4)) = X7))),
% 8.48/2.13    inference(flattening,[],[f20843])).
% 8.48/2.13  tff(f20843,plain,(
% 8.48/2.13    ! [X0 : num,X1 : $tType,X2 : X1,X3 : X1] : (~zero_zero(X1) != aa(num,X1,numeral_numeral(X1),X0) => (iG251(X1,X0,X2,X3) <=> zero_zero(X1) = X2)) & ! [X4 : num,X5 : $tType,X6 : X5,X7 : X5] : (zero_zero(X5) != aa(num,X5,numeral_numeral(X5),X4) => (iG251(X5,X4,X6,X7) <=> aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),aa(num,X5,numeral_numeral(X5),X4)) = X7))),
% 8.48/2.13    inference(rectify,[],[f11263])).
% 8.48/2.13  tff(f11263,plain,(
% 8.48/2.13    ! [X3 : num,X0 : $tType,X1 : X0,X2 : X0] : (~zero_zero(X0) != aa(num,X0,numeral_numeral(X0),X3) => (iG251(X0,X3,X1,X2) <=> zero_zero(X0) = X1)) & ! [X3 : num,X0 : $tType,X1 : X0,X2 : X0] : (zero_zero(X0) != aa(num,X0,numeral_numeral(X0),X3) => (iG251(X0,X3,X1,X2) <=> aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),aa(num,X0,numeral_numeral(X0),X3)) = X2))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG251])])).
% 8.48/2.13  tff(f61602,plain,(
% 8.48/2.13    ( ! [X5 : $tType,X6 : X5,X4 : num] : (iG251(X5,X4,X6,aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),aa(num,X5,numeral_numeral(X5),X4))) | zero_zero(X5) = aa(num,X5,numeral_numeral(X5),X4)) )),
% 8.48/2.13    inference(equality_resolution,[],[f45348])).
% 8.48/2.13  tff(f45348,plain,(
% 8.48/2.13    ( ! [X5 : $tType,X6 : X5,X7 : X5,X4 : num] : (iG251(X5,X4,X6,X7) | aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),aa(num,X5,numeral_numeral(X5),X4)) != X7 | zero_zero(X5) = aa(num,X5,numeral_numeral(X5),X4)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36447])).
% 8.48/2.13  tff(f45349,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : num] : (zero_zero(X1) = X2 | ~iG251(X1,X0,X2,X3) | zero_zero(X1) != aa(num,X1,numeral_numeral(X1),X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36447])).
% 8.48/2.13  tff(f61601,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X3 : X1,X0 : num] : (iG251(X1,X0,zero_zero(X1),X3) | zero_zero(X1) != aa(num,X1,numeral_numeral(X1),X0)) )),
% 8.48/2.13    inference(equality_resolution,[],[f45350])).
% 8.48/2.13  tff(f45350,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : num] : (iG251(X1,X0,X2,X3) | zero_zero(X1) != X2 | zero_zero(X1) != aa(num,X1,numeral_numeral(X1),X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36447])).
% 8.48/2.13  tff(f45343,plain,(
% 8.48/2.13    ( ! [X5 : $tType,X6 : X5,X7 : X5,X4 : X5] : (aa(X5,X5,uminus_uminus(X5),X7) = aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4) | ~iG252(X5,X4,X6,X7) | zero_zero(X5) = X4) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36446])).
% 8.48/2.13  tff(f36446,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : X1,X3 : X1] : (((iG252(X1,X0,X2,X3) | zero_zero(X1) != X2) & (zero_zero(X1) = X2 | ~iG252(X1,X0,X2,X3))) | zero_zero(X1) != X0) & ! [X4 : X5,X5 : $tType,X6 : X5,X7 : X5] : (((iG252(X5,X4,X6,X7) | aa(X5,X5,uminus_uminus(X5),X7) != aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4)) & (aa(X5,X5,uminus_uminus(X5),X7) = aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4) | ~iG252(X5,X4,X6,X7))) | zero_zero(X5) = X4)),
% 8.48/2.13    inference(nnf_transformation,[],[f26307])).
% 8.48/2.13  tff(f26307,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : X1,X3 : X1] : ((iG252(X1,X0,X2,X3) <=> zero_zero(X1) = X2) | zero_zero(X1) != X0) & ! [X4 : X5,X5 : $tType,X6 : X5,X7 : X5] : ((iG252(X5,X4,X6,X7) <=> aa(X5,X5,uminus_uminus(X5),X7) = aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4)) | zero_zero(X5) = X4)),
% 8.48/2.13    inference(ennf_transformation,[],[f20842])).
% 8.48/2.13  tff(f20842,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : X1,X3 : X1] : (zero_zero(X1) = X0 => (iG252(X1,X0,X2,X3) <=> zero_zero(X1) = X2)) & ! [X4 : X5,X5 : $tType,X6 : X5,X7 : X5] : (zero_zero(X5) != X4 => (iG252(X5,X4,X6,X7) <=> aa(X5,X5,uminus_uminus(X5),X7) = aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4)))),
% 8.48/2.13    inference(flattening,[],[f20841])).
% 8.48/2.13  tff(f20841,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : X1,X3 : X1] : (~zero_zero(X1) != X0 => (iG252(X1,X0,X2,X3) <=> zero_zero(X1) = X2)) & ! [X4 : X5,X5 : $tType,X6 : X5,X7 : X5] : (zero_zero(X5) != X4 => (iG252(X5,X4,X6,X7) <=> aa(X5,X5,uminus_uminus(X5),X7) = aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4)))),
% 8.48/2.13    inference(rectify,[],[f11266])).
% 8.48/2.13  tff(f11266,plain,(
% 8.48/2.13    ! [X2 : X0,X0 : $tType,X3 : X0,X1 : X0] : (~zero_zero(X0) != X2 => (iG252(X0,X2,X3,X1) <=> zero_zero(X0) = X3)) & ! [X2 : X0,X0 : $tType,X3 : X0,X1 : X0] : (zero_zero(X0) != X2 => (iG252(X0,X2,X3,X1) <=> aa(X0,X0,uminus_uminus(X0),X1) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X2)))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG252])])).
% 8.48/2.13  tff(f45344,plain,(
% 8.48/2.13    ( ! [X5 : $tType,X6 : X5,X7 : X5,X4 : X5] : (iG252(X5,X4,X6,X7) | aa(X5,X5,uminus_uminus(X5),X7) != aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4) | zero_zero(X5) = X4) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36446])).
% 8.48/2.13  tff(f61600,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X2 : X1,X3 : X1] : (zero_zero(X1) = X2 | ~iG252(X1,zero_zero(X1),X2,X3)) )),
% 8.48/2.13    inference(equality_resolution,[],[f45345])).
% 8.48/2.13  tff(f45345,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : X1] : (zero_zero(X1) = X2 | ~iG252(X1,X0,X2,X3) | zero_zero(X1) != X0) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36446])).
% 8.48/2.13  tff(f61599,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X3 : X1] : (iG252(X1,zero_zero(X1),zero_zero(X1),X3)) )),
% 8.48/2.13    inference(equality_resolution,[],[f61598])).
% 8.48/2.13  tff(f61598,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X3 : X1,X0 : X1] : (iG252(X1,X0,zero_zero(X1),X3) | zero_zero(X1) != X0) )),
% 8.48/2.13    inference(equality_resolution,[],[f45346])).
% 8.48/2.13  tff(f45346,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : X1] : (iG252(X1,X0,X2,X3) | zero_zero(X1) != X2 | zero_zero(X1) != X0) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36446])).
% 8.48/2.13  tff(f45339,plain,(
% 8.48/2.13    ( ! [X5 : $tType,X6 : X5,X7 : X5,X4 : X5] : (aa(X5,X5,uminus_uminus(X5),X7) = aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4) | ~iG253(X5,X4,X6,X7) | zero_zero(X5) = X4) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36445])).
% 8.48/2.13  tff(f36445,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : X1,X3 : X1] : (((iG253(X1,X0,X2,X3) | zero_zero(X1) != X2) & (zero_zero(X1) = X2 | ~iG253(X1,X0,X2,X3))) | zero_zero(X1) != X0) & ! [X4 : X5,X5 : $tType,X6 : X5,X7 : X5] : (((iG253(X5,X4,X6,X7) | aa(X5,X5,uminus_uminus(X5),X7) != aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4)) & (aa(X5,X5,uminus_uminus(X5),X7) = aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4) | ~iG253(X5,X4,X6,X7))) | zero_zero(X5) = X4)),
% 8.48/2.13    inference(nnf_transformation,[],[f26306])).
% 8.48/2.13  tff(f26306,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : X1,X3 : X1] : ((iG253(X1,X0,X2,X3) <=> zero_zero(X1) = X2) | zero_zero(X1) != X0) & ! [X4 : X5,X5 : $tType,X6 : X5,X7 : X5] : ((iG253(X5,X4,X6,X7) <=> aa(X5,X5,uminus_uminus(X5),X7) = aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4)) | zero_zero(X5) = X4)),
% 8.48/2.13    inference(ennf_transformation,[],[f20840])).
% 8.48/2.13  tff(f20840,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : X1,X3 : X1] : (zero_zero(X1) = X0 => (iG253(X1,X0,X2,X3) <=> zero_zero(X1) = X2)) & ! [X4 : X5,X5 : $tType,X6 : X5,X7 : X5] : (zero_zero(X5) != X4 => (iG253(X5,X4,X6,X7) <=> aa(X5,X5,uminus_uminus(X5),X7) = aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4)))),
% 8.48/2.13    inference(flattening,[],[f20839])).
% 8.48/2.13  tff(f20839,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : X1,X3 : X1] : (~zero_zero(X1) != X0 => (iG253(X1,X0,X2,X3) <=> zero_zero(X1) = X2)) & ! [X4 : X5,X5 : $tType,X6 : X5,X7 : X5] : (zero_zero(X5) != X4 => (iG253(X5,X4,X6,X7) <=> aa(X5,X5,uminus_uminus(X5),X7) = aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4)))),
% 8.48/2.13    inference(rectify,[],[f11269])).
% 8.48/2.13  tff(f11269,plain,(
% 8.48/2.13    ! [X3 : X0,X0 : $tType,X1 : X0,X2 : X0] : (~zero_zero(X0) != X3 => (iG253(X0,X3,X1,X2) <=> zero_zero(X0) = X1)) & ! [X3 : X0,X0 : $tType,X1 : X0,X2 : X0] : (zero_zero(X0) != X3 => (iG253(X0,X3,X1,X2) <=> aa(X0,X0,uminus_uminus(X0),X2) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3)))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG253])])).
% 8.48/2.13  tff(f45340,plain,(
% 8.48/2.13    ( ! [X5 : $tType,X6 : X5,X7 : X5,X4 : X5] : (iG253(X5,X4,X6,X7) | aa(X5,X5,uminus_uminus(X5),X7) != aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),X4) | zero_zero(X5) = X4) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36445])).
% 8.48/2.13  tff(f61597,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X2 : X1,X3 : X1] : (zero_zero(X1) = X2 | ~iG253(X1,zero_zero(X1),X2,X3)) )),
% 8.48/2.13    inference(equality_resolution,[],[f45341])).
% 8.48/2.13  tff(f45341,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : X1] : (zero_zero(X1) = X2 | ~iG253(X1,X0,X2,X3) | zero_zero(X1) != X0) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36445])).
% 8.48/2.13  tff(f61596,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X3 : X1] : (iG253(X1,zero_zero(X1),zero_zero(X1),X3)) )),
% 8.48/2.13    inference(equality_resolution,[],[f61595])).
% 8.48/2.13  tff(f61595,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X3 : X1,X0 : X1] : (iG253(X1,X0,zero_zero(X1),X3) | zero_zero(X1) != X0) )),
% 8.48/2.13    inference(equality_resolution,[],[f45342])).
% 8.48/2.13  tff(f45342,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : X1] : (iG253(X1,X0,X2,X3) | zero_zero(X1) != X2 | zero_zero(X1) != X0) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36445])).
% 8.48/2.13  tff(f45335,plain,(
% 8.48/2.13    ( ! [X5 : $tType,X6 : num,X7 : X5,X4 : X5] : (aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),aa(X5,X5,uminus_uminus(X5),aa(num,X5,numeral_numeral(X5),X6))),X4) = X7 | ~iG254(X5,X4,X6,X7) | zero_zero(X5) = X4) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36444])).
% 8.48/2.13  tff(f36444,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : num,X3 : X1] : (((iG254(X1,X0,X2,X3) | zero_zero(X1) != aa(X1,X1,uminus_uminus(X1),aa(num,X1,numeral_numeral(X1),X2))) & (zero_zero(X1) = aa(X1,X1,uminus_uminus(X1),aa(num,X1,numeral_numeral(X1),X2)) | ~iG254(X1,X0,X2,X3))) | zero_zero(X1) != X0) & ! [X4 : X5,X5 : $tType,X6 : num,X7 : X5] : (((iG254(X5,X4,X6,X7) | aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),aa(X5,X5,uminus_uminus(X5),aa(num,X5,numeral_numeral(X5),X6))),X4) != X7) & (aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),aa(X5,X5,uminus_uminus(X5),aa(num,X5,numeral_numeral(X5),X6))),X4) = X7 | ~iG254(X5,X4,X6,X7))) | zero_zero(X5) = X4)),
% 8.48/2.13    inference(nnf_transformation,[],[f26305])).
% 8.48/2.13  tff(f26305,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : num,X3 : X1] : ((iG254(X1,X0,X2,X3) <=> zero_zero(X1) = aa(X1,X1,uminus_uminus(X1),aa(num,X1,numeral_numeral(X1),X2))) | zero_zero(X1) != X0) & ! [X4 : X5,X5 : $tType,X6 : num,X7 : X5] : ((iG254(X5,X4,X6,X7) <=> aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),aa(X5,X5,uminus_uminus(X5),aa(num,X5,numeral_numeral(X5),X6))),X4) = X7) | zero_zero(X5) = X4)),
% 8.48/2.13    inference(ennf_transformation,[],[f20838])).
% 8.48/2.13  tff(f20838,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : num,X3 : X1] : (zero_zero(X1) = X0 => (iG254(X1,X0,X2,X3) <=> zero_zero(X1) = aa(X1,X1,uminus_uminus(X1),aa(num,X1,numeral_numeral(X1),X2)))) & ! [X4 : X5,X5 : $tType,X6 : num,X7 : X5] : (zero_zero(X5) != X4 => (iG254(X5,X4,X6,X7) <=> aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),aa(X5,X5,uminus_uminus(X5),aa(num,X5,numeral_numeral(X5),X6))),X4) = X7))),
% 8.48/2.13    inference(flattening,[],[f20837])).
% 8.48/2.13  tff(f20837,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : num,X3 : X1] : (~zero_zero(X1) != X0 => (iG254(X1,X0,X2,X3) <=> zero_zero(X1) = aa(X1,X1,uminus_uminus(X1),aa(num,X1,numeral_numeral(X1),X2)))) & ! [X4 : X5,X5 : $tType,X6 : num,X7 : X5] : (zero_zero(X5) != X4 => (iG254(X5,X4,X6,X7) <=> aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),aa(X5,X5,uminus_uminus(X5),aa(num,X5,numeral_numeral(X5),X6))),X4) = X7))),
% 8.48/2.13    inference(rectify,[],[f11272])).
% 8.48/2.13  tff(f11272,plain,(
% 8.48/2.13    ! [X3 : X0,X0 : $tType,X1 : num,X2 : X0] : (~zero_zero(X0) != X3 => (iG254(X0,X3,X1,X2) <=> zero_zero(X0) = aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X1)))) & ! [X3 : X0,X0 : $tType,X1 : num,X2 : X0] : (zero_zero(X0) != X3 => (iG254(X0,X3,X1,X2) <=> aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X1))),X3) = X2))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG254])])).
% 8.48/2.13  tff(f61594,plain,(
% 8.48/2.13    ( ! [X5 : $tType,X6 : num,X4 : X5] : (iG254(X5,X4,X6,aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),aa(X5,X5,uminus_uminus(X5),aa(num,X5,numeral_numeral(X5),X6))),X4)) | zero_zero(X5) = X4) )),
% 8.48/2.13    inference(equality_resolution,[],[f45336])).
% 8.48/2.13  tff(f45336,plain,(
% 8.48/2.13    ( ! [X5 : $tType,X6 : num,X7 : X5,X4 : X5] : (iG254(X5,X4,X6,X7) | aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),aa(X5,X5,uminus_uminus(X5),aa(num,X5,numeral_numeral(X5),X6))),X4) != X7 | zero_zero(X5) = X4) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36444])).
% 8.48/2.13  tff(f61593,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X2 : num,X3 : X1] : (zero_zero(X1) = aa(X1,X1,uminus_uminus(X1),aa(num,X1,numeral_numeral(X1),X2)) | ~iG254(X1,zero_zero(X1),X2,X3)) )),
% 8.48/2.13    inference(equality_resolution,[],[f45337])).
% 8.48/2.13  tff(f45337,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X2 : num,X3 : X1,X0 : X1] : (zero_zero(X1) = aa(X1,X1,uminus_uminus(X1),aa(num,X1,numeral_numeral(X1),X2)) | ~iG254(X1,X0,X2,X3) | zero_zero(X1) != X0) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36444])).
% 8.48/2.13  tff(f61592,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X2 : num,X3 : X1] : (iG254(X1,zero_zero(X1),X2,X3) | zero_zero(X1) != aa(X1,X1,uminus_uminus(X1),aa(num,X1,numeral_numeral(X1),X2))) )),
% 8.48/2.13    inference(equality_resolution,[],[f45338])).
% 8.48/2.13  tff(f45338,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X2 : num,X3 : X1,X0 : X1] : (iG254(X1,X0,X2,X3) | zero_zero(X1) != aa(X1,X1,uminus_uminus(X1),aa(num,X1,numeral_numeral(X1),X2)) | zero_zero(X1) != X0) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36444])).
% 8.48/2.13  tff(f45331,plain,(
% 8.48/2.13    ( ! [X5 : $tType,X6 : num,X7 : X5,X4 : X5] : (aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),aa(X5,X5,uminus_uminus(X5),aa(num,X5,numeral_numeral(X5),X6))),X4) = X7 | ~iG255(X5,X4,X6,X7) | zero_zero(X5) = X4) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36443])).
% 8.48/2.13  tff(f36443,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : num,X3 : X1] : (((iG255(X1,X0,X2,X3) | zero_zero(X1) != aa(X1,X1,uminus_uminus(X1),aa(num,X1,numeral_numeral(X1),X2))) & (zero_zero(X1) = aa(X1,X1,uminus_uminus(X1),aa(num,X1,numeral_numeral(X1),X2)) | ~iG255(X1,X0,X2,X3))) | zero_zero(X1) != X0) & ! [X4 : X5,X5 : $tType,X6 : num,X7 : X5] : (((iG255(X5,X4,X6,X7) | aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),aa(X5,X5,uminus_uminus(X5),aa(num,X5,numeral_numeral(X5),X6))),X4) != X7) & (aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),aa(X5,X5,uminus_uminus(X5),aa(num,X5,numeral_numeral(X5),X6))),X4) = X7 | ~iG255(X5,X4,X6,X7))) | zero_zero(X5) = X4)),
% 8.48/2.13    inference(nnf_transformation,[],[f26304])).
% 8.48/2.13  tff(f26304,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : num,X3 : X1] : ((iG255(X1,X0,X2,X3) <=> zero_zero(X1) = aa(X1,X1,uminus_uminus(X1),aa(num,X1,numeral_numeral(X1),X2))) | zero_zero(X1) != X0) & ! [X4 : X5,X5 : $tType,X6 : num,X7 : X5] : ((iG255(X5,X4,X6,X7) <=> aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),aa(X5,X5,uminus_uminus(X5),aa(num,X5,numeral_numeral(X5),X6))),X4) = X7) | zero_zero(X5) = X4)),
% 8.48/2.13    inference(ennf_transformation,[],[f20836])).
% 8.48/2.13  tff(f20836,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : num,X3 : X1] : (zero_zero(X1) = X0 => (iG255(X1,X0,X2,X3) <=> zero_zero(X1) = aa(X1,X1,uminus_uminus(X1),aa(num,X1,numeral_numeral(X1),X2)))) & ! [X4 : X5,X5 : $tType,X6 : num,X7 : X5] : (zero_zero(X5) != X4 => (iG255(X5,X4,X6,X7) <=> aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),aa(X5,X5,uminus_uminus(X5),aa(num,X5,numeral_numeral(X5),X6))),X4) = X7))),
% 8.48/2.13    inference(flattening,[],[f20835])).
% 8.48/2.13  tff(f20835,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType,X2 : num,X3 : X1] : (~zero_zero(X1) != X0 => (iG255(X1,X0,X2,X3) <=> zero_zero(X1) = aa(X1,X1,uminus_uminus(X1),aa(num,X1,numeral_numeral(X1),X2)))) & ! [X4 : X5,X5 : $tType,X6 : num,X7 : X5] : (zero_zero(X5) != X4 => (iG255(X5,X4,X6,X7) <=> aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),aa(X5,X5,uminus_uminus(X5),aa(num,X5,numeral_numeral(X5),X6))),X4) = X7))),
% 8.48/2.13    inference(rectify,[],[f11275])).
% 8.48/2.13  tff(f11275,plain,(
% 8.48/2.13    ! [X2 : X0,X0 : $tType,X3 : num,X1 : X0] : (~zero_zero(X0) != X2 => (iG255(X0,X2,X3,X1) <=> zero_zero(X0) = aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X3)))) & ! [X2 : X0,X0 : $tType,X3 : num,X1 : X0] : (zero_zero(X0) != X2 => (iG255(X0,X2,X3,X1) <=> aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X3))),X2) = X1))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG255])])).
% 8.48/2.13  tff(f61591,plain,(
% 8.48/2.13    ( ! [X5 : $tType,X6 : num,X4 : X5] : (iG255(X5,X4,X6,aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),aa(X5,X5,uminus_uminus(X5),aa(num,X5,numeral_numeral(X5),X6))),X4)) | zero_zero(X5) = X4) )),
% 8.48/2.13    inference(equality_resolution,[],[f45332])).
% 8.48/2.13  tff(f45332,plain,(
% 8.48/2.13    ( ! [X5 : $tType,X6 : num,X7 : X5,X4 : X5] : (iG255(X5,X4,X6,X7) | aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),aa(X5,X5,uminus_uminus(X5),aa(num,X5,numeral_numeral(X5),X6))),X4) != X7 | zero_zero(X5) = X4) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36443])).
% 8.48/2.13  tff(f61590,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X2 : num,X3 : X1] : (zero_zero(X1) = aa(X1,X1,uminus_uminus(X1),aa(num,X1,numeral_numeral(X1),X2)) | ~iG255(X1,zero_zero(X1),X2,X3)) )),
% 8.48/2.13    inference(equality_resolution,[],[f45333])).
% 8.48/2.13  tff(f45333,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X2 : num,X3 : X1,X0 : X1] : (zero_zero(X1) = aa(X1,X1,uminus_uminus(X1),aa(num,X1,numeral_numeral(X1),X2)) | ~iG255(X1,X0,X2,X3) | zero_zero(X1) != X0) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36443])).
% 8.48/2.13  tff(f61589,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X2 : num,X3 : X1] : (iG255(X1,zero_zero(X1),X2,X3) | zero_zero(X1) != aa(X1,X1,uminus_uminus(X1),aa(num,X1,numeral_numeral(X1),X2))) )),
% 8.48/2.13    inference(equality_resolution,[],[f45334])).
% 8.48/2.13  tff(f45334,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X2 : num,X3 : X1,X0 : X1] : (iG255(X1,X0,X2,X3) | zero_zero(X1) != aa(X1,X1,uminus_uminus(X1),aa(num,X1,numeral_numeral(X1),X2)) | zero_zero(X1) != X0) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36443])).
% 8.48/2.13  tff(f45327,plain,(
% 8.48/2.13    ( ! [X5 : $tType,X6 : X5,X7 : X5,X4 : num] : (aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),aa(X5,X5,uminus_uminus(X5),aa(num,X5,numeral_numeral(X5),X4))) = X7 | ~iG256(X5,X4,X6,X7) | zero_zero(X5) = aa(X5,X5,uminus_uminus(X5),aa(num,X5,numeral_numeral(X5),X4))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36442])).
% 8.48/2.13  tff(f36442,plain,(
% 8.48/2.13    ! [X0 : num,X1 : $tType,X2 : X1,X3 : X1] : (((iG256(X1,X0,X2,X3) | zero_zero(X1) != X2) & (zero_zero(X1) = X2 | ~iG256(X1,X0,X2,X3))) | zero_zero(X1) != aa(X1,X1,uminus_uminus(X1),aa(num,X1,numeral_numeral(X1),X0))) & ! [X4 : num,X5 : $tType,X6 : X5,X7 : X5] : (((iG256(X5,X4,X6,X7) | aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),aa(X5,X5,uminus_uminus(X5),aa(num,X5,numeral_numeral(X5),X4))) != X7) & (aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),aa(X5,X5,uminus_uminus(X5),aa(num,X5,numeral_numeral(X5),X4))) = X7 | ~iG256(X5,X4,X6,X7))) | zero_zero(X5) = aa(X5,X5,uminus_uminus(X5),aa(num,X5,numeral_numeral(X5),X4)))),
% 8.48/2.13    inference(nnf_transformation,[],[f26303])).
% 8.48/2.13  tff(f26303,plain,(
% 8.48/2.13    ! [X0 : num,X1 : $tType,X2 : X1,X3 : X1] : ((iG256(X1,X0,X2,X3) <=> zero_zero(X1) = X2) | zero_zero(X1) != aa(X1,X1,uminus_uminus(X1),aa(num,X1,numeral_numeral(X1),X0))) & ! [X4 : num,X5 : $tType,X6 : X5,X7 : X5] : ((iG256(X5,X4,X6,X7) <=> aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),aa(X5,X5,uminus_uminus(X5),aa(num,X5,numeral_numeral(X5),X4))) = X7) | zero_zero(X5) = aa(X5,X5,uminus_uminus(X5),aa(num,X5,numeral_numeral(X5),X4)))),
% 8.48/2.13    inference(ennf_transformation,[],[f20834])).
% 8.48/2.13  tff(f20834,plain,(
% 8.48/2.13    ! [X0 : num,X1 : $tType,X2 : X1,X3 : X1] : (zero_zero(X1) = aa(X1,X1,uminus_uminus(X1),aa(num,X1,numeral_numeral(X1),X0)) => (iG256(X1,X0,X2,X3) <=> zero_zero(X1) = X2)) & ! [X4 : num,X5 : $tType,X6 : X5,X7 : X5] : (zero_zero(X5) != aa(X5,X5,uminus_uminus(X5),aa(num,X5,numeral_numeral(X5),X4)) => (iG256(X5,X4,X6,X7) <=> aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),aa(X5,X5,uminus_uminus(X5),aa(num,X5,numeral_numeral(X5),X4))) = X7))),
% 8.48/2.13    inference(flattening,[],[f20833])).
% 8.48/2.13  tff(f20833,plain,(
% 8.48/2.13    ! [X0 : num,X1 : $tType,X2 : X1,X3 : X1] : (~zero_zero(X1) != aa(X1,X1,uminus_uminus(X1),aa(num,X1,numeral_numeral(X1),X0)) => (iG256(X1,X0,X2,X3) <=> zero_zero(X1) = X2)) & ! [X4 : num,X5 : $tType,X6 : X5,X7 : X5] : (zero_zero(X5) != aa(X5,X5,uminus_uminus(X5),aa(num,X5,numeral_numeral(X5),X4)) => (iG256(X5,X4,X6,X7) <=> aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),aa(X5,X5,uminus_uminus(X5),aa(num,X5,numeral_numeral(X5),X4))) = X7))),
% 8.48/2.13    inference(rectify,[],[f11278])).
% 8.48/2.13  tff(f11278,plain,(
% 8.48/2.13    ! [X2 : num,X0 : $tType,X3 : X0,X1 : X0] : (~zero_zero(X0) != aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X2)) => (iG256(X0,X2,X3,X1) <=> zero_zero(X0) = X3)) & ! [X2 : num,X0 : $tType,X3 : X0,X1 : X0] : (zero_zero(X0) != aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X2)) => (iG256(X0,X2,X3,X1) <=> aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X2))) = X1))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG256])])).
% 8.48/2.13  tff(f61588,plain,(
% 8.48/2.13    ( ! [X5 : $tType,X6 : X5,X4 : num] : (iG256(X5,X4,X6,aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),aa(X5,X5,uminus_uminus(X5),aa(num,X5,numeral_numeral(X5),X4)))) | zero_zero(X5) = aa(X5,X5,uminus_uminus(X5),aa(num,X5,numeral_numeral(X5),X4))) )),
% 8.48/2.13    inference(equality_resolution,[],[f45328])).
% 8.48/2.13  tff(f45328,plain,(
% 8.48/2.13    ( ! [X5 : $tType,X6 : X5,X7 : X5,X4 : num] : (iG256(X5,X4,X6,X7) | aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),aa(X5,X5,uminus_uminus(X5),aa(num,X5,numeral_numeral(X5),X4))) != X7 | zero_zero(X5) = aa(X5,X5,uminus_uminus(X5),aa(num,X5,numeral_numeral(X5),X4))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36442])).
% 8.48/2.13  tff(f45329,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : num] : (zero_zero(X1) = X2 | ~iG256(X1,X0,X2,X3) | zero_zero(X1) != aa(X1,X1,uminus_uminus(X1),aa(num,X1,numeral_numeral(X1),X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36442])).
% 8.48/2.13  tff(f61587,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X3 : X1,X0 : num] : (iG256(X1,X0,zero_zero(X1),X3) | zero_zero(X1) != aa(X1,X1,uminus_uminus(X1),aa(num,X1,numeral_numeral(X1),X0))) )),
% 8.48/2.13    inference(equality_resolution,[],[f45330])).
% 8.48/2.13  tff(f45330,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : num] : (iG256(X1,X0,X2,X3) | zero_zero(X1) != X2 | zero_zero(X1) != aa(X1,X1,uminus_uminus(X1),aa(num,X1,numeral_numeral(X1),X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36442])).
% 8.48/2.13  tff(f45323,plain,(
% 8.48/2.13    ( ! [X5 : $tType,X6 : X5,X7 : X5,X4 : num] : (aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),aa(X5,X5,uminus_uminus(X5),aa(num,X5,numeral_numeral(X5),X4))) = X7 | ~iG257(X5,X4,X6,X7) | zero_zero(X5) = aa(X5,X5,uminus_uminus(X5),aa(num,X5,numeral_numeral(X5),X4))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36441])).
% 8.48/2.13  tff(f36441,plain,(
% 8.48/2.13    ! [X0 : num,X1 : $tType,X2 : X1,X3 : X1] : (((iG257(X1,X0,X2,X3) | zero_zero(X1) != X2) & (zero_zero(X1) = X2 | ~iG257(X1,X0,X2,X3))) | zero_zero(X1) != aa(X1,X1,uminus_uminus(X1),aa(num,X1,numeral_numeral(X1),X0))) & ! [X4 : num,X5 : $tType,X6 : X5,X7 : X5] : (((iG257(X5,X4,X6,X7) | aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),aa(X5,X5,uminus_uminus(X5),aa(num,X5,numeral_numeral(X5),X4))) != X7) & (aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),aa(X5,X5,uminus_uminus(X5),aa(num,X5,numeral_numeral(X5),X4))) = X7 | ~iG257(X5,X4,X6,X7))) | zero_zero(X5) = aa(X5,X5,uminus_uminus(X5),aa(num,X5,numeral_numeral(X5),X4)))),
% 8.48/2.13    inference(nnf_transformation,[],[f26302])).
% 8.48/2.13  tff(f26302,plain,(
% 8.48/2.13    ! [X0 : num,X1 : $tType,X2 : X1,X3 : X1] : ((iG257(X1,X0,X2,X3) <=> zero_zero(X1) = X2) | zero_zero(X1) != aa(X1,X1,uminus_uminus(X1),aa(num,X1,numeral_numeral(X1),X0))) & ! [X4 : num,X5 : $tType,X6 : X5,X7 : X5] : ((iG257(X5,X4,X6,X7) <=> aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),aa(X5,X5,uminus_uminus(X5),aa(num,X5,numeral_numeral(X5),X4))) = X7) | zero_zero(X5) = aa(X5,X5,uminus_uminus(X5),aa(num,X5,numeral_numeral(X5),X4)))),
% 8.48/2.13    inference(ennf_transformation,[],[f20832])).
% 8.48/2.13  tff(f20832,plain,(
% 8.48/2.13    ! [X0 : num,X1 : $tType,X2 : X1,X3 : X1] : (zero_zero(X1) = aa(X1,X1,uminus_uminus(X1),aa(num,X1,numeral_numeral(X1),X0)) => (iG257(X1,X0,X2,X3) <=> zero_zero(X1) = X2)) & ! [X4 : num,X5 : $tType,X6 : X5,X7 : X5] : (zero_zero(X5) != aa(X5,X5,uminus_uminus(X5),aa(num,X5,numeral_numeral(X5),X4)) => (iG257(X5,X4,X6,X7) <=> aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),aa(X5,X5,uminus_uminus(X5),aa(num,X5,numeral_numeral(X5),X4))) = X7))),
% 8.48/2.13    inference(flattening,[],[f20831])).
% 8.48/2.13  tff(f20831,plain,(
% 8.48/2.13    ! [X0 : num,X1 : $tType,X2 : X1,X3 : X1] : (~zero_zero(X1) != aa(X1,X1,uminus_uminus(X1),aa(num,X1,numeral_numeral(X1),X0)) => (iG257(X1,X0,X2,X3) <=> zero_zero(X1) = X2)) & ! [X4 : num,X5 : $tType,X6 : X5,X7 : X5] : (zero_zero(X5) != aa(X5,X5,uminus_uminus(X5),aa(num,X5,numeral_numeral(X5),X4)) => (iG257(X5,X4,X6,X7) <=> aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),aa(X5,X5,uminus_uminus(X5),aa(num,X5,numeral_numeral(X5),X4))) = X7))),
% 8.48/2.13    inference(rectify,[],[f11281])).
% 8.48/2.13  tff(f11281,plain,(
% 8.48/2.13    ! [X3 : num,X0 : $tType,X1 : X0,X2 : X0] : (~zero_zero(X0) != aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X3)) => (iG257(X0,X3,X1,X2) <=> zero_zero(X0) = X1)) & ! [X3 : num,X0 : $tType,X1 : X0,X2 : X0] : (zero_zero(X0) != aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X3)) => (iG257(X0,X3,X1,X2) <=> aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X3))) = X2))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG257])])).
% 8.48/2.13  tff(f61586,plain,(
% 8.48/2.13    ( ! [X5 : $tType,X6 : X5,X4 : num] : (iG257(X5,X4,X6,aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),aa(X5,X5,uminus_uminus(X5),aa(num,X5,numeral_numeral(X5),X4)))) | zero_zero(X5) = aa(X5,X5,uminus_uminus(X5),aa(num,X5,numeral_numeral(X5),X4))) )),
% 8.48/2.13    inference(equality_resolution,[],[f45324])).
% 8.48/2.13  tff(f45324,plain,(
% 8.48/2.13    ( ! [X5 : $tType,X6 : X5,X7 : X5,X4 : num] : (iG257(X5,X4,X6,X7) | aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),X6),aa(X5,X5,uminus_uminus(X5),aa(num,X5,numeral_numeral(X5),X4))) != X7 | zero_zero(X5) = aa(X5,X5,uminus_uminus(X5),aa(num,X5,numeral_numeral(X5),X4))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36441])).
% 8.48/2.13  tff(f45325,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : num] : (zero_zero(X1) = X2 | ~iG257(X1,X0,X2,X3) | zero_zero(X1) != aa(X1,X1,uminus_uminus(X1),aa(num,X1,numeral_numeral(X1),X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36441])).
% 8.48/2.13  tff(f61585,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X3 : X1,X0 : num] : (iG257(X1,X0,zero_zero(X1),X3) | zero_zero(X1) != aa(X1,X1,uminus_uminus(X1),aa(num,X1,numeral_numeral(X1),X0))) )),
% 8.48/2.13    inference(equality_resolution,[],[f45326])).
% 8.48/2.13  tff(f45326,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : num] : (iG257(X1,X0,X2,X3) | zero_zero(X1) != X2 | zero_zero(X1) != aa(X1,X1,uminus_uminus(X1),aa(num,X1,numeral_numeral(X1),X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36441])).
% 8.48/2.13  tff(f45321,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X0 : X1] : (($true = bG258(X1,X0)) | ~dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36440])).
% 8.48/2.13  tff(f36440,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType] : ((dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0) | ($true != bG258(X1,X0))) & (($true = bG258(X1,X0)) | ~dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20830])).
% 8.48/2.13  tff(f20830,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType] : (dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0) <=> ($true = bG258(X1,X0)))),
% 8.48/2.13    inference(rectify,[],[f11284])).
% 8.48/2.13  tff(f11284,plain,(
% 8.48/2.13    ! [X1 : X0,X0 : $tType] : (dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),X1) <=> ($true = bG258(X0,X1)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG258])])).
% 8.48/2.13  tff(f45322,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X0 : X1] : (dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0) | ($true != bG258(X1,X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36440])).
% 8.48/2.13  tff(f61584,plain,(
% 8.48/2.13    ($true = bG259(zero_zero(nat)))),
% 8.48/2.13    inference(equality_resolution,[],[f45319])).
% 8.48/2.13  tff(f45319,plain,(
% 8.48/2.13    ( ! [X0 : nat] : (($true = bG259(X0)) | zero_zero(nat) != X0) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36439])).
% 8.48/2.13  tff(f36439,plain,(
% 8.48/2.13    ! [X0 : nat] : ((zero_zero(nat) = X0 | ($true != bG259(X0))) & (($true = bG259(X0)) | zero_zero(nat) != X0))),
% 8.48/2.13    inference(nnf_transformation,[],[f20829])).
% 8.48/2.13  tff(f20829,plain,(
% 8.48/2.13    ! [X0 : nat] : (zero_zero(nat) = X0 <=> ($true = bG259(X0)))),
% 8.48/2.13    inference(rectify,[],[f11287])).
% 8.48/2.13  tff(f11287,plain,(
% 8.48/2.13    ! [X1 : nat] : (zero_zero(nat) = X1 <=> ($true = bG259(X1)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG259])])).
% 8.48/2.13  tff(f45320,plain,(
% 8.48/2.13    ( ! [X0 : nat] : (zero_zero(nat) = X0 | ($true != bG259(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36439])).
% 8.48/2.13  tff(f45317,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X0 : X1] : (($true = bG260(X1,X0)) | ~dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36438])).
% 8.48/2.13  tff(f36438,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType] : ((dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0) | ($true != bG260(X1,X0))) & (($true = bG260(X1,X0)) | ~dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20828])).
% 8.48/2.13  tff(f20828,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType] : (dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0) <=> ($true = bG260(X1,X0)))),
% 8.48/2.13    inference(rectify,[],[f11290])).
% 8.48/2.13  tff(f11290,plain,(
% 8.48/2.13    ! [X1 : X0,X0 : $tType] : (dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),X1) <=> ($true = bG260(X0,X1)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG260])])).
% 8.48/2.13  tff(f45318,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X0 : X1] : (dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0) | ($true != bG260(X1,X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36438])).
% 8.48/2.13  tff(f45315,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X0 : X1] : (($true = bG261(X1,X0)) | dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36437])).
% 8.48/2.13  tff(f36437,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType] : ((~dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0) | ($true != bG261(X1,X0))) & (($true = bG261(X1,X0)) | dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20827])).
% 8.48/2.13  tff(f20827,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType] : (~dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0) <=> ($true = bG261(X1,X0)))),
% 8.48/2.13    inference(rectify,[],[f11291])).
% 8.48/2.13  tff(f11291,plain,(
% 8.48/2.13    ! [X1 : X0,X0 : $tType] : (~dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),X1) <=> ($true = bG261(X0,X1)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG261])])).
% 8.48/2.13  tff(f45316,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X0 : X1] : (~dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0) | ($true != bG261(X1,X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36437])).
% 8.48/2.13  tff(f45313,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X0 : X1] : (($true = bG262(X1,X0)) | ~dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36436])).
% 8.48/2.13  tff(f36436,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType] : ((dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0) | ($true != bG262(X1,X0))) & (($true = bG262(X1,X0)) | ~dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20826])).
% 8.48/2.13  tff(f20826,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType] : (dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0) <=> ($true = bG262(X1,X0)))),
% 8.48/2.13    inference(rectify,[],[f11294])).
% 8.48/2.13  tff(f11294,plain,(
% 8.48/2.13    ! [X1 : X0,X0 : $tType] : (dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),X1) <=> ($true = bG262(X0,X1)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG262])])).
% 8.48/2.13  tff(f45314,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X0 : X1] : (dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0) | ($true != bG262(X1,X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36436])).
% 8.48/2.13  tff(f45311,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X0 : X1] : (($true = bG263(X1,X0)) | ~dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36435])).
% 8.48/2.13  tff(f36435,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType] : ((dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0) | ($true != bG263(X1,X0))) & (($true = bG263(X1,X0)) | ~dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20825])).
% 8.48/2.13  tff(f20825,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType] : (dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0) <=> ($true = bG263(X1,X0)))),
% 8.48/2.13    inference(rectify,[],[f11297])).
% 8.48/2.13  tff(f11297,plain,(
% 8.48/2.13    ! [X1 : X0,X0 : $tType] : (dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),X1) <=> ($true = bG263(X0,X1)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG263])])).
% 8.48/2.13  tff(f45312,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X0 : X1] : (dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0) | ($true != bG263(X1,X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36435])).
% 8.48/2.13  tff(f45309,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X0 : X1] : (($true = bG264(X1,X0)) | dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36434])).
% 8.48/2.13  tff(f36434,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType] : ((~dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0) | ($true != bG264(X1,X0))) & (($true = bG264(X1,X0)) | dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20824])).
% 8.48/2.13  tff(f20824,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType] : (~dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0) <=> ($true = bG264(X1,X0)))),
% 8.48/2.13    inference(rectify,[],[f11298])).
% 8.48/2.13  tff(f11298,plain,(
% 8.48/2.13    ! [X1 : X0,X0 : $tType] : (~dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),X1) <=> ($true = bG264(X0,X1)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG264])])).
% 8.48/2.13  tff(f45310,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X0 : X1] : (~dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0) | ($true != bG264(X1,X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36434])).
% 8.48/2.13  tff(f45307,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X0 : X1] : (($true = bG265(X1,X0)) | ~dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36433])).
% 8.48/2.13  tff(f36433,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType] : ((dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0) | ($true != bG265(X1,X0))) & (($true = bG265(X1,X0)) | ~dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20823])).
% 8.48/2.13  tff(f20823,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType] : (dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0) <=> ($true = bG265(X1,X0)))),
% 8.48/2.13    inference(rectify,[],[f11301])).
% 8.48/2.13  tff(f11301,plain,(
% 8.48/2.13    ! [X1 : X0,X0 : $tType] : (dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),X1) <=> ($true = bG265(X0,X1)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG265])])).
% 8.48/2.13  tff(f45308,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X0 : X1] : (dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0) | ($true != bG265(X1,X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36433])).
% 8.48/2.13  tff(f45305,plain,(
% 8.48/2.13    ( ! [X3 : $tType,X4 : nat,X5 : X3] : (bit_se2638667681897837118et_bit(X3) = iG266(X3,X4,X5) | ($true != aa(nat,$o,bit_se5641148757651400278ts_bit(X3,X5),X4))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26301])).
% 8.48/2.13  tff(f26301,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : X0] : (bit_se5668285175392031749et_bit(X0) = iG266(X0,X1,X2) | ($true = aa(nat,$o,bit_se5641148757651400278ts_bit(X0,X2),X1))) & ! [X3 : $tType,X4 : nat,X5 : X3] : (bit_se2638667681897837118et_bit(X3) = iG266(X3,X4,X5) | ($true != aa(nat,$o,bit_se5641148757651400278ts_bit(X3,X5),X4)))),
% 8.48/2.13    inference(ennf_transformation,[],[f20822])).
% 8.48/2.13  tff(f20822,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : X0] : (($true != aa(nat,$o,bit_se5641148757651400278ts_bit(X0,X2),X1)) => bit_se5668285175392031749et_bit(X0) = iG266(X0,X1,X2)) & ! [X3 : $tType,X4 : nat,X5 : X3] : (($true = aa(nat,$o,bit_se5641148757651400278ts_bit(X3,X5),X4)) => bit_se2638667681897837118et_bit(X3) = iG266(X3,X4,X5))),
% 8.48/2.13    inference(flattening,[],[f20821])).
% 8.48/2.13  tff(f20821,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : X0] : (~($true = aa(nat,$o,bit_se5641148757651400278ts_bit(X0,X2),X1)) => bit_se5668285175392031749et_bit(X0) = iG266(X0,X1,X2)) & ! [X3 : $tType,X4 : nat,X5 : X3] : (($true = aa(nat,$o,bit_se5641148757651400278ts_bit(X3,X5),X4)) => bit_se2638667681897837118et_bit(X3) = iG266(X3,X4,X5))),
% 8.48/2.13    inference(rectify,[],[f11306])).
% 8.48/2.13  tff(f11306,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : X0] : (~($true = aa(nat,$o,bit_se5641148757651400278ts_bit(X0,X2),X1)) => bit_se5668285175392031749et_bit(X0) = iG266(X0,X1,X2)) & ! [X0 : $tType,X1 : nat,X2 : X0] : (($true = aa(nat,$o,bit_se5641148757651400278ts_bit(X0,X2),X1)) => bit_se2638667681897837118et_bit(X0) = iG266(X0,X1,X2))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG266])])).
% 8.48/2.13  tff(f45306,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : X0,X1 : nat] : (bit_se5668285175392031749et_bit(X0) = iG266(X0,X1,X2) | ($true = aa(nat,$o,bit_se5641148757651400278ts_bit(X0,X2),X1))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26301])).
% 8.48/2.13  tff(f61583,plain,(
% 8.48/2.13    ( ! [X3 : $tType,X5 : X3] : (iG267(X3,zero_zero(nat),X5) = X5) )),
% 8.48/2.13    inference(equality_resolution,[],[f45303])).
% 8.48/2.13  tff(f45303,plain,(
% 8.48/2.13    ( ! [X3 : $tType,X4 : nat,X5 : X3] : (iG267(X3,X4,X5) = X5 | zero_zero(nat) != X4) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26300])).
% 8.48/2.13  tff(f26300,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : X0] : (bit_se4197421643247451524op_bit(X0,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat)),divide_divide(X0,X2,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)))) = iG267(X0,X1,X2) | zero_zero(nat) = X1) & ! [X3 : $tType,X4 : nat,X5 : X3] : (iG267(X3,X4,X5) = X5 | zero_zero(nat) != X4)),
% 8.48/2.13    inference(ennf_transformation,[],[f20820])).
% 8.48/2.13  tff(f20820,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : X0] : (zero_zero(nat) != X1 => bit_se4197421643247451524op_bit(X0,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat)),divide_divide(X0,X2,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)))) = iG267(X0,X1,X2)) & ! [X3 : $tType,X4 : nat,X5 : X3] : (zero_zero(nat) = X4 => iG267(X3,X4,X5) = X5)),
% 8.48/2.13    inference(flattening,[],[f20819])).
% 8.48/2.13  tff(f20819,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : X0] : (~zero_zero(nat) = X1 => bit_se4197421643247451524op_bit(X0,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat)),divide_divide(X0,X2,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)))) = iG267(X0,X1,X2)) & ! [X3 : $tType,X4 : nat,X5 : X3] : (zero_zero(nat) = X4 => iG267(X3,X4,X5) = X5)),
% 8.48/2.13    inference(rectify,[],[f11309])).
% 8.48/2.13  tff(f11309,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : X0] : (~zero_zero(nat) = X1 => bit_se4197421643247451524op_bit(X0,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat)),divide_divide(X0,X2,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)))) = iG267(X0,X1,X2)) & ! [X0 : $tType,X1 : nat,X2 : X0] : (zero_zero(nat) = X1 => iG267(X0,X1,X2) = X2)),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG267])])).
% 8.48/2.13  tff(f45304,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : X0,X1 : nat] : (bit_se4197421643247451524op_bit(X0,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat)),divide_divide(X0,X2,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)))) = iG267(X0,X1,X2) | zero_zero(nat) = X1) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26300])).
% 8.48/2.13  tff(f61582,plain,(
% 8.48/2.13    ( ! [X3 : $tType,X5 : X3] : (zero_zero(X3) = iG268(X3,zero_zero(nat),X5)) )),
% 8.48/2.13    inference(equality_resolution,[],[f45301])).
% 8.48/2.13  tff(f45301,plain,(
% 8.48/2.13    ( ! [X3 : $tType,X4 : nat,X5 : X3] : (zero_zero(X3) = iG268(X3,X4,X5) | zero_zero(nat) != X4) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26299])).
% 8.48/2.13  tff(f26299,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(X0,X0,bit_se2584673776208193580ke_bit(X0,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat))),divide_divide(X0,X2,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))))),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)))),modulo_modulo(X0,X2,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)))) = iG268(X0,X1,X2) | zero_zero(nat) = X1) & ! [X3 : $tType,X4 : nat,X5 : X3] : (zero_zero(X3) = iG268(X3,X4,X5) | zero_zero(nat) != X4)),
% 8.48/2.13    inference(ennf_transformation,[],[f20818])).
% 8.48/2.13  tff(f20818,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : X0] : (zero_zero(nat) != X1 => aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(X0,X0,bit_se2584673776208193580ke_bit(X0,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat))),divide_divide(X0,X2,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))))),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)))),modulo_modulo(X0,X2,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)))) = iG268(X0,X1,X2)) & ! [X3 : $tType,X4 : nat,X5 : X3] : (zero_zero(nat) = X4 => zero_zero(X3) = iG268(X3,X4,X5))),
% 8.48/2.13    inference(flattening,[],[f20817])).
% 8.48/2.13  tff(f20817,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : X0] : (~zero_zero(nat) = X1 => aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(X0,X0,bit_se2584673776208193580ke_bit(X0,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat))),divide_divide(X0,X2,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))))),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)))),modulo_modulo(X0,X2,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)))) = iG268(X0,X1,X2)) & ! [X3 : $tType,X4 : nat,X5 : X3] : (zero_zero(nat) = X4 => zero_zero(X3) = iG268(X3,X4,X5))),
% 8.48/2.13    inference(rectify,[],[f11312])).
% 8.48/2.13  tff(f11312,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : X0] : (~zero_zero(nat) = X1 => aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(X0,X0,bit_se2584673776208193580ke_bit(X0,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat))),divide_divide(X0,X2,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))))),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)))),modulo_modulo(X0,X2,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)))) = iG268(X0,X1,X2)) & ! [X0 : $tType,X1 : nat,X2 : X0] : (zero_zero(nat) = X1 => zero_zero(X0) = iG268(X0,X1,X2))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG268])])).
% 8.48/2.13  tff(f45302,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : X0,X1 : nat] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(X0,X0,bit_se2584673776208193580ke_bit(X0,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat))),divide_divide(X0,X2,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))))),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)))),modulo_modulo(X0,X2,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)))) = iG268(X0,X1,X2) | zero_zero(nat) = X1) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26299])).
% 8.48/2.13  tff(f61581,plain,(
% 8.48/2.13    ($true = bG269($true))),
% 8.48/2.13    inference(equality_resolution,[],[f45299])).
% 8.48/2.13  tff(f45299,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = bG269(X0)) | ($true != X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36432])).
% 8.48/2.13  tff(f36432,plain,(
% 8.48/2.13    ! [X0 : $o] : ((($true = X0) | ($true != bG269(X0))) & (($true = bG269(X0)) | ($true != X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20816])).
% 8.48/2.13  tff(f20816,plain,(
% 8.48/2.13    ! [X0 : $o] : (($true = X0) <=> ($true = bG269(X0)))),
% 8.48/2.13    inference(rectify,[],[f11315])).
% 8.48/2.13  tff(f11315,plain,(
% 8.48/2.13    ! [X2 : $o] : (($true = X2) <=> ($true = bG269(X2)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG269])])).
% 8.48/2.13  tff(f45300,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = X0) | ($true != bG269(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36432])).
% 8.48/2.13  tff(f61580,plain,(
% 8.48/2.13    ($true = bG270($true,zero_zero(nat)))),
% 8.48/2.13    inference(equality_resolution,[],[f61579])).
% 8.48/2.13  tff(f61579,plain,(
% 8.48/2.13    ( ! [X1 : nat] : (($true = bG270($true,X1)) | zero_zero(nat) != X1) )),
% 8.48/2.13    inference(equality_resolution,[],[f45296])).
% 8.48/2.13  tff(f45296,plain,(
% 8.48/2.13    ( ! [X0 : $o,X1 : nat] : (($true = bG270(X0,X1)) | ($true != X0) | zero_zero(nat) != X1) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36431])).
% 8.48/2.13  tff(f36431,plain,(
% 8.48/2.13    ! [X0 : $o,X1 : nat] : (((($true = X0) & zero_zero(nat) = X1) | ($true != bG270(X0,X1))) & (($true = bG270(X0,X1)) | ($true != X0) | zero_zero(nat) != X1))),
% 8.48/2.13    inference(flattening,[],[f36430])).
% 8.48/2.13  tff(f36430,plain,(
% 8.48/2.13    ! [X0 : $o,X1 : nat] : (((($true = X0) & zero_zero(nat) = X1) | ($true != bG270(X0,X1))) & (($true = bG270(X0,X1)) | (($true != X0) | zero_zero(nat) != X1)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20815])).
% 8.48/2.13  tff(f20815,plain,(
% 8.48/2.13    ! [X0 : $o,X1 : nat] : ((($true = X0) & zero_zero(nat) = X1) <=> ($true = bG270(X0,X1)))),
% 8.48/2.13    inference(rectify,[],[f11316])).
% 8.48/2.13  tff(f11316,plain,(
% 8.48/2.13    ! [X2 : $o,X1 : nat] : ((($true = X2) & zero_zero(nat) = X1) <=> ($true = bG270(X2,X1)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG270])])).
% 8.48/2.13  tff(f45297,plain,(
% 8.48/2.13    ( ! [X0 : $o,X1 : nat] : (zero_zero(nat) = X1 | ($true != bG270(X0,X1))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36431])).
% 8.48/2.13  tff(f45298,plain,(
% 8.48/2.13    ( ! [X0 : $o,X1 : nat] : (($true = X0) | ($true != bG270(X0,X1))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36431])).
% 8.48/2.13  tff(f45294,plain,(
% 8.48/2.13    ( ! [X3 : $tType,X4 : X3,X5 : nat] : (zero_zero(X3) = iG271(X3,X4,X5) | ~dvd_dvd(X3,aa(num,X3,numeral_numeral(X3),aa(num,num,bit0,one2)),X4)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26298])).
% 8.48/2.13  tff(f26298,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : nat] : (aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))),X2)),one_one(X0)) = iG271(X0,X1,X2) | dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),X1)) & ! [X3 : $tType,X4 : X3,X5 : nat] : (zero_zero(X3) = iG271(X3,X4,X5) | ~dvd_dvd(X3,aa(num,X3,numeral_numeral(X3),aa(num,num,bit0,one2)),X4))),
% 8.48/2.13    inference(ennf_transformation,[],[f20814])).
% 8.48/2.13  tff(f20814,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : nat] : (~dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),X1) => aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))),X2)),one_one(X0)) = iG271(X0,X1,X2)) & ! [X3 : $tType,X4 : X3,X5 : nat] : (dvd_dvd(X3,aa(num,X3,numeral_numeral(X3),aa(num,num,bit0,one2)),X4) => zero_zero(X3) = iG271(X3,X4,X5))),
% 8.48/2.13    inference(flattening,[],[f20813])).
% 8.48/2.13  tff(f20813,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : nat] : (~dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),X1) => aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))),X2)),one_one(X0)) = iG271(X0,X1,X2)) & ! [X3 : $tType,X4 : X3,X5 : nat] : (dvd_dvd(X3,aa(num,X3,numeral_numeral(X3),aa(num,num,bit0,one2)),X4) => zero_zero(X3) = iG271(X3,X4,X5))),
% 8.48/2.13    inference(rectify,[],[f11319])).
% 8.48/2.13  tff(f11319,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : nat] : (~dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),X1) => aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))),X2)),one_one(X0)) = iG271(X0,X1,X2)) & ! [X0 : $tType,X1 : X0,X2 : nat] : (dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),X1) => zero_zero(X0) = iG271(X0,X1,X2))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG271])])).
% 8.48/2.13  tff(f45295,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : nat,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))),X2)),one_one(X0)) = iG271(X0,X1,X2) | dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),X1)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26298])).
% 8.48/2.13  tff(f45292,plain,(
% 8.48/2.13    ( ! [X4 : $tType,X6 : nat,X7 : X4,X5 : nat] : (aa(X4,X4,bit_se2584673776208193580ke_bit(X4,X6),X7) = iG272(X4,X5,X6,X7) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X6),X5))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26297])).
% 8.48/2.13  tff(f26297,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : X0] : (bit_se8732182000553998342ip_bit(X0,X1,aa(X0,X0,bit_se2584673776208193580ke_bit(X0,X2),X3)) = iG272(X0,X1,X2,X3) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X2),X1))) & ! [X4 : $tType,X5 : nat,X6 : nat,X7 : X4] : (aa(X4,X4,bit_se2584673776208193580ke_bit(X4,X6),X7) = iG272(X4,X5,X6,X7) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X6),X5)))),
% 8.48/2.13    inference(ennf_transformation,[],[f20812])).
% 8.48/2.13  tff(f20812,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : X0] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X2),X1)) => bit_se8732182000553998342ip_bit(X0,X1,aa(X0,X0,bit_se2584673776208193580ke_bit(X0,X2),X3)) = iG272(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : nat,X6 : nat,X7 : X4] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X6),X5)) => aa(X4,X4,bit_se2584673776208193580ke_bit(X4,X6),X7) = iG272(X4,X5,X6,X7))),
% 8.48/2.13    inference(flattening,[],[f20811])).
% 8.48/2.13  tff(f20811,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : X0] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X2),X1)) => bit_se8732182000553998342ip_bit(X0,X1,aa(X0,X0,bit_se2584673776208193580ke_bit(X0,X2),X3)) = iG272(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : nat,X6 : nat,X7 : X4] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X6),X5)) => aa(X4,X4,bit_se2584673776208193580ke_bit(X4,X6),X7) = iG272(X4,X5,X6,X7))),
% 8.48/2.13    inference(rectify,[],[f11334])).
% 8.48/2.13  tff(f11334,plain,(
% 8.48/2.13    ! [X0 : $tType,X2 : nat,X1 : nat,X3 : X0] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X2)) => bit_se8732182000553998342ip_bit(X0,X2,aa(X0,X0,bit_se2584673776208193580ke_bit(X0,X1),X3)) = iG272(X0,X2,X1,X3)) & ! [X0 : $tType,X2 : nat,X1 : nat,X3 : X0] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X2)) => aa(X0,X0,bit_se2584673776208193580ke_bit(X0,X1),X3) = iG272(X0,X2,X1,X3))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG272])])).
% 8.48/2.13  tff(f45293,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : nat,X3 : X0,X1 : nat] : (bit_se8732182000553998342ip_bit(X0,X1,aa(X0,X0,bit_se2584673776208193580ke_bit(X0,X2),X3)) = iG272(X0,X1,X2,X3) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X2),X1))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26297])).
% 8.48/2.13  tff(f45290,plain,(
% 8.48/2.13    ( ! [X4 : $tType,X6 : nat,X7 : X4,X5 : nat] : (aa(X4,X4,bit_se2584673776208193580ke_bit(X4,X6),X7) = iG273(X4,X5,X6,X7) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X6),X5))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26296])).
% 8.48/2.13  tff(f26296,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : X0] : (aa(X0,X0,aa(nat,fun(X0,X0),bit_se5668285175392031749et_bit(X0),X1),aa(X0,X0,bit_se2584673776208193580ke_bit(X0,X2),X3)) = iG273(X0,X1,X2,X3) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X2),X1))) & ! [X4 : $tType,X5 : nat,X6 : nat,X7 : X4] : (aa(X4,X4,bit_se2584673776208193580ke_bit(X4,X6),X7) = iG273(X4,X5,X6,X7) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X6),X5)))),
% 8.48/2.13    inference(ennf_transformation,[],[f20810])).
% 8.48/2.13  tff(f20810,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : X0] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X2),X1)) => aa(X0,X0,aa(nat,fun(X0,X0),bit_se5668285175392031749et_bit(X0),X1),aa(X0,X0,bit_se2584673776208193580ke_bit(X0,X2),X3)) = iG273(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : nat,X6 : nat,X7 : X4] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X6),X5)) => aa(X4,X4,bit_se2584673776208193580ke_bit(X4,X6),X7) = iG273(X4,X5,X6,X7))),
% 8.48/2.13    inference(flattening,[],[f20809])).
% 8.48/2.13  tff(f20809,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : X0] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X2),X1)) => aa(X0,X0,aa(nat,fun(X0,X0),bit_se5668285175392031749et_bit(X0),X1),aa(X0,X0,bit_se2584673776208193580ke_bit(X0,X2),X3)) = iG273(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : nat,X6 : nat,X7 : X4] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X6),X5)) => aa(X4,X4,bit_se2584673776208193580ke_bit(X4,X6),X7) = iG273(X4,X5,X6,X7))),
% 8.48/2.13    inference(rectify,[],[f11337])).
% 8.48/2.13  tff(f11337,plain,(
% 8.48/2.13    ! [X0 : $tType,X2 : nat,X1 : nat,X3 : X0] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X2)) => aa(X0,X0,aa(nat,fun(X0,X0),bit_se5668285175392031749et_bit(X0),X2),aa(X0,X0,bit_se2584673776208193580ke_bit(X0,X1),X3)) = iG273(X0,X2,X1,X3)) & ! [X0 : $tType,X2 : nat,X1 : nat,X3 : X0] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X2)) => aa(X0,X0,bit_se2584673776208193580ke_bit(X0,X1),X3) = iG273(X0,X2,X1,X3))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG273])])).
% 8.48/2.13  tff(f45291,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : nat,X3 : X0,X1 : nat] : (aa(X0,X0,aa(nat,fun(X0,X0),bit_se5668285175392031749et_bit(X0),X1),aa(X0,X0,bit_se2584673776208193580ke_bit(X0,X2),X3)) = iG273(X0,X1,X2,X3) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X2),X1))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26296])).
% 8.48/2.13  tff(f45288,plain,(
% 8.48/2.13    ( ! [X4 : $tType,X6 : nat,X7 : X4,X5 : nat] : (aa(X4,X4,bit_se2584673776208193580ke_bit(X4,X6),X7) = iG274(X4,X5,X6,X7) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X6),X5))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26295])).
% 8.48/2.13  tff(f26295,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : X0] : (aa(X0,X0,aa(nat,fun(X0,X0),bit_se2638667681897837118et_bit(X0),X1),aa(X0,X0,bit_se2584673776208193580ke_bit(X0,X2),X3)) = iG274(X0,X1,X2,X3) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X2),X1))) & ! [X4 : $tType,X5 : nat,X6 : nat,X7 : X4] : (aa(X4,X4,bit_se2584673776208193580ke_bit(X4,X6),X7) = iG274(X4,X5,X6,X7) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X6),X5)))),
% 8.48/2.13    inference(ennf_transformation,[],[f20808])).
% 8.48/2.13  tff(f20808,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : X0] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X2),X1)) => aa(X0,X0,aa(nat,fun(X0,X0),bit_se2638667681897837118et_bit(X0),X1),aa(X0,X0,bit_se2584673776208193580ke_bit(X0,X2),X3)) = iG274(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : nat,X6 : nat,X7 : X4] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X6),X5)) => aa(X4,X4,bit_se2584673776208193580ke_bit(X4,X6),X7) = iG274(X4,X5,X6,X7))),
% 8.48/2.13    inference(flattening,[],[f20807])).
% 8.48/2.13  tff(f20807,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : X0] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X2),X1)) => aa(X0,X0,aa(nat,fun(X0,X0),bit_se2638667681897837118et_bit(X0),X1),aa(X0,X0,bit_se2584673776208193580ke_bit(X0,X2),X3)) = iG274(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : nat,X6 : nat,X7 : X4] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X6),X5)) => aa(X4,X4,bit_se2584673776208193580ke_bit(X4,X6),X7) = iG274(X4,X5,X6,X7))),
% 8.48/2.13    inference(rectify,[],[f11340])).
% 8.48/2.13  tff(f11340,plain,(
% 8.48/2.13    ! [X0 : $tType,X2 : nat,X1 : nat,X3 : X0] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X2)) => aa(X0,X0,aa(nat,fun(X0,X0),bit_se2638667681897837118et_bit(X0),X2),aa(X0,X0,bit_se2584673776208193580ke_bit(X0,X1),X3)) = iG274(X0,X2,X1,X3)) & ! [X0 : $tType,X2 : nat,X1 : nat,X3 : X0] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X2)) => aa(X0,X0,bit_se2584673776208193580ke_bit(X0,X1),X3) = iG274(X0,X2,X1,X3))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG274])])).
% 8.48/2.13  tff(f45289,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : nat,X3 : X0,X1 : nat] : (aa(X0,X0,aa(nat,fun(X0,X0),bit_se2638667681897837118et_bit(X0),X1),aa(X0,X0,bit_se2584673776208193580ke_bit(X0,X2),X3)) = iG274(X0,X1,X2,X3) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X2),X1))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26295])).
% 8.48/2.13  tff(f45286,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X0 : X1] : (($true = bG275(X1,X0)) | dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36429])).
% 8.48/2.13  tff(f36429,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType] : ((~dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0) | ($true != bG275(X1,X0))) & (($true = bG275(X1,X0)) | dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20806])).
% 8.48/2.13  tff(f20806,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType] : (~dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0) <=> ($true = bG275(X1,X0)))),
% 8.48/2.13    inference(rectify,[],[f11343])).
% 8.48/2.13  tff(f11343,plain,(
% 8.48/2.13    ! [X1 : X0,X0 : $tType] : (~dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),X1) <=> ($true = bG275(X0,X1)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG275])])).
% 8.48/2.13  tff(f45287,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X0 : X1] : (~dvd_dvd(X1,aa(num,X1,numeral_numeral(X1),aa(num,num,bit0,one2)),X0) | ($true != bG275(X1,X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36429])).
% 8.48/2.13  tff(f61578,plain,(
% 8.48/2.13    ( ! [X6 : $tType,X7 : X6,X5 : X6] : ((bG275(X6,X7) = iG276(X6,zero_zero(nat),X5,X7))) )),
% 8.48/2.13    inference(equality_resolution,[],[f45284])).
% 8.48/2.13  tff(f45284,plain,(
% 8.48/2.13    ( ! [X6 : $tType,X7 : X6,X4 : nat,X5 : X6] : ((bG275(X6,X7) = iG276(X6,X4,X5,X7)) | zero_zero(nat) != X4) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26294])).
% 8.48/2.13  tff(f26294,plain,(
% 8.48/2.13    ! [X0 : nat,X1 : X2,X2 : $tType,X3 : X2] : ((aa(nat,$o,bit_se5641148757651400278ts_bit(X2,aa(X2,X2,aa(X2,fun(X2,X2),times_times(X2),aa(num,X2,numeral_numeral(X2),aa(num,num,bit0,one2))),X1)),X0) = iG276(X2,X0,X1,X3)) | zero_zero(nat) = X0) & ! [X4 : nat,X5 : X6,X6 : $tType,X7 : X6] : ((bG275(X6,X7) = iG276(X6,X4,X5,X7)) | zero_zero(nat) != X4)),
% 8.48/2.13    inference(ennf_transformation,[],[f20805])).
% 8.48/2.13  tff(f20805,plain,(
% 8.48/2.13    ! [X0 : nat,X1 : X2,X2 : $tType,X3 : X2] : (zero_zero(nat) != X0 => (aa(nat,$o,bit_se5641148757651400278ts_bit(X2,aa(X2,X2,aa(X2,fun(X2,X2),times_times(X2),aa(num,X2,numeral_numeral(X2),aa(num,num,bit0,one2))),X1)),X0) = iG276(X2,X0,X1,X3))) & ! [X4 : nat,X5 : X6,X6 : $tType,X7 : X6] : (zero_zero(nat) = X4 => (bG275(X6,X7) = iG276(X6,X4,X5,X7)))),
% 8.48/2.13    inference(flattening,[],[f20804])).
% 8.48/2.13  tff(f20804,plain,(
% 8.48/2.13    ! [X0 : nat,X1 : X2,X2 : $tType,X3 : X2] : (~zero_zero(nat) = X0 => (aa(nat,$o,bit_se5641148757651400278ts_bit(X2,aa(X2,X2,aa(X2,fun(X2,X2),times_times(X2),aa(num,X2,numeral_numeral(X2),aa(num,num,bit0,one2))),X1)),X0) = iG276(X2,X0,X1,X3))) & ! [X4 : nat,X5 : X6,X6 : $tType,X7 : X6] : (zero_zero(nat) = X4 => (bG275(X6,X7) = iG276(X6,X4,X5,X7)))),
% 8.48/2.13    inference(rectify,[],[f11344])).
% 8.48/2.13  tff(f11344,plain,(
% 8.48/2.13    ! [X3 : nat,X2 : X0,X0 : $tType,X1 : X0] : (~zero_zero(nat) = X3 => (aa(nat,$o,bit_se5641148757651400278ts_bit(X0,aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))),X2)),X3) = iG276(X0,X3,X2,X1))) & ! [X3 : nat,X2 : X0,X0 : $tType,X1 : X0] : (zero_zero(nat) = X3 => (bG275(X0,X1) = iG276(X0,X3,X2,X1)))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG276])])).
% 8.48/2.13  tff(f45285,plain,(
% 8.48/2.13    ( ! [X2 : $tType,X3 : X2,X0 : nat,X1 : X2] : ((aa(nat,$o,bit_se5641148757651400278ts_bit(X2,aa(X2,X2,aa(X2,fun(X2,X2),times_times(X2),aa(num,X2,numeral_numeral(X2),aa(num,num,bit0,one2))),X1)),X0) = iG276(X2,X0,X1,X3)) | zero_zero(nat) = X0) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26294])).
% 8.48/2.13  tff(f45282,plain,(
% 8.48/2.13    ( ! [X2 : $tType,X3 : X2] : (aa(X2,X2,uminus_uminus(X2),X3) = iG277(X2,X3) | ($true != aa(X2,$o,aa(X2,fun(X2,$o),ord_less(X2),X3),zero_zero(X2)))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26293])).
% 8.48/2.13  tff(f26293,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0] : (iG277(X0,X1) = X1 | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0)))) & ! [X2 : $tType,X3 : X2] : (aa(X2,X2,uminus_uminus(X2),X3) = iG277(X2,X3) | ($true != aa(X2,$o,aa(X2,fun(X2,$o),ord_less(X2),X3),zero_zero(X2))))),
% 8.48/2.13    inference(ennf_transformation,[],[f20803])).
% 8.48/2.13  tff(f20803,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0))) => iG277(X0,X1) = X1) & ! [X2 : $tType,X3 : X2] : (($true = aa(X2,$o,aa(X2,fun(X2,$o),ord_less(X2),X3),zero_zero(X2))) => aa(X2,X2,uminus_uminus(X2),X3) = iG277(X2,X3))),
% 8.48/2.13    inference(flattening,[],[f20802])).
% 8.48/2.13  tff(f20802,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0))) => iG277(X0,X1) = X1) & ! [X2 : $tType,X3 : X2] : (($true = aa(X2,$o,aa(X2,fun(X2,$o),ord_less(X2),X3),zero_zero(X2))) => aa(X2,X2,uminus_uminus(X2),X3) = iG277(X2,X3))),
% 8.48/2.13    inference(rectify,[],[f11365])).
% 8.48/2.13  tff(f11365,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0))) => iG277(X0,X1) = X1) & ! [X0 : $tType,X1 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0))) => aa(X0,X0,uminus_uminus(X0),X1) = iG277(X0,X1))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG277])])).
% 8.48/2.13  tff(f45283,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X1 : X0] : (iG277(X0,X1) = X1 | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0)))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26293])).
% 8.48/2.13  tff(f45280,plain,(
% 8.48/2.13    ( ! [X2 : $tType,X3 : X2] : (aa(X2,X2,uminus_uminus(X2),X3) = iG278(X2,X3) | ($true != aa(X2,$o,aa(X2,fun(X2,$o),ord_less(X2),X3),zero_zero(X2)))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26292])).
% 8.48/2.13  tff(f26292,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0] : (iG278(X0,X1) = X1 | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0)))) & ! [X2 : $tType,X3 : X2] : (aa(X2,X2,uminus_uminus(X2),X3) = iG278(X2,X3) | ($true != aa(X2,$o,aa(X2,fun(X2,$o),ord_less(X2),X3),zero_zero(X2))))),
% 8.48/2.13    inference(ennf_transformation,[],[f20801])).
% 8.48/2.13  tff(f20801,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0))) => iG278(X0,X1) = X1) & ! [X2 : $tType,X3 : X2] : (($true = aa(X2,$o,aa(X2,fun(X2,$o),ord_less(X2),X3),zero_zero(X2))) => aa(X2,X2,uminus_uminus(X2),X3) = iG278(X2,X3))),
% 8.48/2.13    inference(flattening,[],[f20800])).
% 8.48/2.13  tff(f20800,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0))) => iG278(X0,X1) = X1) & ! [X2 : $tType,X3 : X2] : (($true = aa(X2,$o,aa(X2,fun(X2,$o),ord_less(X2),X3),zero_zero(X2))) => aa(X2,X2,uminus_uminus(X2),X3) = iG278(X2,X3))),
% 8.48/2.13    inference(rectify,[],[f11368])).
% 8.48/2.13  tff(f11368,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0))) => iG278(X0,X1) = X1) & ! [X0 : $tType,X1 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0))) => aa(X0,X0,uminus_uminus(X0),X1) = iG278(X0,X1))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG278])])).
% 8.48/2.13  tff(f45281,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X1 : X0] : (iG278(X0,X1) = X1 | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X1),zero_zero(X0)))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26292])).
% 8.48/2.13  tff(f45278,plain,(
% 8.48/2.13    ( ! [X2 : $tType,X3 : X2] : (one_one(X2) = iG279(X2,X3) | ($true != aa(X2,$o,aa(X2,fun(X2,$o),ord_less(X2),zero_zero(X2)),X3))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26291])).
% 8.48/2.13  tff(f26291,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0] : (aa(X0,X0,uminus_uminus(X0),one_one(X0)) = iG279(X0,X1) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X1))) & ! [X2 : $tType,X3 : X2] : (one_one(X2) = iG279(X2,X3) | ($true != aa(X2,$o,aa(X2,fun(X2,$o),ord_less(X2),zero_zero(X2)),X3)))),
% 8.48/2.13    inference(ennf_transformation,[],[f20799])).
% 8.48/2.13  tff(f20799,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X1)) => aa(X0,X0,uminus_uminus(X0),one_one(X0)) = iG279(X0,X1)) & ! [X2 : $tType,X3 : X2] : (($true = aa(X2,$o,aa(X2,fun(X2,$o),ord_less(X2),zero_zero(X2)),X3)) => one_one(X2) = iG279(X2,X3))),
% 8.48/2.13    inference(flattening,[],[f20798])).
% 8.48/2.13  tff(f20798,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X1)) => aa(X0,X0,uminus_uminus(X0),one_one(X0)) = iG279(X0,X1)) & ! [X2 : $tType,X3 : X2] : (($true = aa(X2,$o,aa(X2,fun(X2,$o),ord_less(X2),zero_zero(X2)),X3)) => one_one(X2) = iG279(X2,X3))),
% 8.48/2.13    inference(rectify,[],[f11655])).
% 8.48/2.13  tff(f11655,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X1)) => aa(X0,X0,uminus_uminus(X0),one_one(X0)) = iG279(X0,X1)) & ! [X0 : $tType,X1 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X1)) => one_one(X0) = iG279(X0,X1))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG279])])).
% 8.48/2.13  tff(f45279,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,uminus_uminus(X0),one_one(X0)) = iG279(X0,X1) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),zero_zero(X0)),X1))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26291])).
% 8.48/2.13  tff(f61577,plain,(
% 8.48/2.13    ( ! [X2 : $tType] : (zero_zero(X2) = iG280(X2,zero_zero(X2))) )),
% 8.48/2.13    inference(equality_resolution,[],[f45276])).
% 8.48/2.13  tff(f45276,plain,(
% 8.48/2.13    ( ! [X2 : $tType,X3 : X2] : (zero_zero(X2) = iG280(X2,X3) | zero_zero(X2) != X3) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26290])).
% 8.48/2.13  tff(f26290,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0] : (iG279(X0,X1) = iG280(X0,X1) | zero_zero(X0) = X1) & ! [X2 : $tType,X3 : X2] : (zero_zero(X2) = iG280(X2,X3) | zero_zero(X2) != X3)),
% 8.48/2.13    inference(ennf_transformation,[],[f20797])).
% 8.48/2.13  tff(f20797,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0] : (zero_zero(X0) != X1 => iG279(X0,X1) = iG280(X0,X1)) & ! [X2 : $tType,X3 : X2] : (zero_zero(X2) = X3 => zero_zero(X2) = iG280(X2,X3))),
% 8.48/2.13    inference(flattening,[],[f20796])).
% 8.48/2.13  tff(f20796,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0] : (~zero_zero(X0) = X1 => iG279(X0,X1) = iG280(X0,X1)) & ! [X2 : $tType,X3 : X2] : (zero_zero(X2) = X3 => zero_zero(X2) = iG280(X2,X3))),
% 8.48/2.13    inference(rectify,[],[f11656])).
% 8.48/2.13  tff(f11656,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0] : (~zero_zero(X0) = X1 => iG279(X0,X1) = iG280(X0,X1)) & ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = X1 => zero_zero(X0) = iG280(X0,X1))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG280])])).
% 8.48/2.13  tff(f45277,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X1 : X0] : (iG279(X0,X1) = iG280(X0,X1) | zero_zero(X0) = X1) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26290])).
% 8.48/2.13  tff(f61576,plain,(
% 8.48/2.13    ( ! [X2 : $tType] : (zero_zero(X2) = iG281(X2,zero_zero(X2))) )),
% 8.48/2.13    inference(equality_resolution,[],[f45274])).
% 8.48/2.13  tff(f45274,plain,(
% 8.48/2.13    ( ! [X2 : $tType,X3 : X2] : (zero_zero(X2) = iG281(X2,X3) | zero_zero(X2) != X3) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26289])).
% 8.48/2.13  tff(f26289,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0] : (one_one(X0) = iG281(X0,X1) | zero_zero(X0) = X1) & ! [X2 : $tType,X3 : X2] : (zero_zero(X2) = iG281(X2,X3) | zero_zero(X2) != X3)),
% 8.48/2.13    inference(ennf_transformation,[],[f20795])).
% 8.48/2.13  tff(f20795,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0] : (zero_zero(X0) != X1 => one_one(X0) = iG281(X0,X1)) & ! [X2 : $tType,X3 : X2] : (zero_zero(X2) = X3 => zero_zero(X2) = iG281(X2,X3))),
% 8.48/2.13    inference(flattening,[],[f20794])).
% 8.48/2.13  tff(f20794,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0] : (~zero_zero(X0) = X1 => one_one(X0) = iG281(X0,X1)) & ! [X2 : $tType,X3 : X2] : (zero_zero(X2) = X3 => zero_zero(X2) = iG281(X2,X3))),
% 8.48/2.13    inference(rectify,[],[f11659])).
% 8.48/2.13  tff(f11659,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0] : (~zero_zero(X0) = X1 => one_one(X0) = iG281(X0,X1)) & ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = X1 => zero_zero(X0) = iG281(X0,X1))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG281])])).
% 8.48/2.13  tff(f45275,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X1 : X0] : (one_one(X0) = iG281(X0,X1) | zero_zero(X0) = X1) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26289])).
% 8.48/2.13  tff(f45272,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X0 : X1] : (($true = bG282(X1,X0)) | zero_zero(X1) = X0) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36428])).
% 8.48/2.13  tff(f36428,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType] : ((zero_zero(X1) != X0 | ($true != bG282(X1,X0))) & (($true = bG282(X1,X0)) | zero_zero(X1) = X0))),
% 8.48/2.13    inference(nnf_transformation,[],[f20793])).
% 8.48/2.13  tff(f20793,plain,(
% 8.48/2.13    ! [X0 : X1,X1 : $tType] : (zero_zero(X1) != X0 <=> ($true = bG282(X1,X0)))),
% 8.48/2.13    inference(rectify,[],[f11662])).
% 8.48/2.13  tff(f11662,plain,(
% 8.48/2.13    ! [X1 : X0,X0 : $tType] : (zero_zero(X0) != X1 <=> ($true = bG282(X0,X1)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG282])])).
% 8.48/2.13  tff(f61575,plain,(
% 8.48/2.13    ( ! [X1 : $tType] : (($true != bG282(X1,zero_zero(X1)))) )),
% 8.48/2.13    inference(equality_resolution,[],[f45273])).
% 8.48/2.13  tff(f45273,plain,(
% 8.48/2.13    ( ! [X1 : $tType,X0 : X1] : (zero_zero(X1) != X0 | ($true != bG282(X1,X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36428])).
% 8.48/2.13  tff(f45270,plain,(
% 8.48/2.13    ( ! [X3 : $tType,X4 : nat,X5 : nat] : (aa(nat,X3,semiring_1_of_nat(X3),aa(nat,nat,binomial(X5),X4)) = iG283(X3,X4,X5) | dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X4)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26288])).
% 8.48/2.13  tff(f26288,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat] : (zero_zero(X0) = iG283(X0,X1,X2) | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1)) & ! [X3 : $tType,X4 : nat,X5 : nat] : (aa(nat,X3,semiring_1_of_nat(X3),aa(nat,nat,binomial(X5),X4)) = iG283(X3,X4,X5) | dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X4))),
% 8.48/2.13    inference(ennf_transformation,[],[f20792])).
% 8.48/2.13  tff(f20792,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat] : (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1) => zero_zero(X0) = iG283(X0,X1,X2)) & ! [X3 : $tType,X4 : nat,X5 : nat] : (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X4) => aa(nat,X3,semiring_1_of_nat(X3),aa(nat,nat,binomial(X5),X4)) = iG283(X3,X4,X5))),
% 8.48/2.13    inference(flattening,[],[f20791])).
% 8.48/2.13  tff(f20791,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat] : (~~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1) => zero_zero(X0) = iG283(X0,X1,X2)) & ! [X3 : $tType,X4 : nat,X5 : nat] : (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X4) => aa(nat,X3,semiring_1_of_nat(X3),aa(nat,nat,binomial(X5),X4)) = iG283(X3,X4,X5))),
% 8.48/2.13    inference(rectify,[],[f12027])).
% 8.48/2.13  tff(f12027,plain,(
% 8.48/2.13    ! [X0 : $tType,X2 : nat,X1 : nat] : (~~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2) => zero_zero(X0) = iG283(X0,X2,X1)) & ! [X0 : $tType,X2 : nat,X1 : nat] : (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2) => aa(nat,X0,semiring_1_of_nat(X0),aa(nat,nat,binomial(X1),X2)) = iG283(X0,X2,X1))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG283])])).
% 8.48/2.13  tff(f45271,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : nat,X1 : nat] : (zero_zero(X0) = iG283(X0,X1,X2) | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26288])).
% 8.48/2.13  tff(f45268,plain,(
% 8.48/2.13    ( ! [X3 : $tType,X4 : nat,X5 : nat] : (aa(nat,X3,semiring_1_of_nat(X3),aa(nat,nat,binomial(X5),X4)) = iG284(X3,X4,X5) | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X4)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26287])).
% 8.48/2.13  tff(f26287,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat] : (zero_zero(X0) = iG284(X0,X1,X2) | dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1)) & ! [X3 : $tType,X4 : nat,X5 : nat] : (aa(nat,X3,semiring_1_of_nat(X3),aa(nat,nat,binomial(X5),X4)) = iG284(X3,X4,X5) | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X4))),
% 8.48/2.13    inference(ennf_transformation,[],[f20790])).
% 8.48/2.13  tff(f20790,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat] : (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1) => zero_zero(X0) = iG284(X0,X1,X2)) & ! [X3 : $tType,X4 : nat,X5 : nat] : (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X4) => aa(nat,X3,semiring_1_of_nat(X3),aa(nat,nat,binomial(X5),X4)) = iG284(X3,X4,X5))),
% 8.48/2.13    inference(flattening,[],[f20789])).
% 8.48/2.13  tff(f20789,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat] : (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1) => zero_zero(X0) = iG284(X0,X1,X2)) & ! [X3 : $tType,X4 : nat,X5 : nat] : (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X4) => aa(nat,X3,semiring_1_of_nat(X3),aa(nat,nat,binomial(X5),X4)) = iG284(X3,X4,X5))),
% 8.48/2.13    inference(rectify,[],[f12030])).
% 8.48/2.13  tff(f12030,plain,(
% 8.48/2.13    ! [X0 : $tType,X2 : nat,X1 : nat] : (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2) => zero_zero(X0) = iG284(X0,X2,X1)) & ! [X0 : $tType,X2 : nat,X1 : nat] : (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2) => aa(nat,X0,semiring_1_of_nat(X0),aa(nat,nat,binomial(X1),X2)) = iG284(X0,X2,X1))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG284])])).
% 8.48/2.13  tff(f45269,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : nat,X1 : nat] : (zero_zero(X0) = iG284(X0,X1,X2) | dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26287])).
% 8.48/2.13  tff(f61574,plain,(
% 8.48/2.13    ( ! [X3 : $tType,X5 : X3] : (iG285(X3,bot_bot(set(X3)),X5) = X5) )),
% 8.48/2.13    inference(equality_resolution,[],[f45266])).
% 8.48/2.13  tff(f45266,plain,(
% 8.48/2.13    ( ! [X3 : $tType,X4 : set(X3),X5 : X3] : (iG285(X3,X4,X5) = X5 | bot_bot(set(X3)) != X4) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26286])).
% 8.48/2.13  tff(f26286,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : set(X0),X2 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),ord_max(X0),X2),aa(set(X0),X0,complete_Sup_Sup(X0),X1)) = iG285(X0,X1,X2) | bot_bot(set(X0)) = X1) & ! [X3 : $tType,X4 : set(X3),X5 : X3] : (iG285(X3,X4,X5) = X5 | bot_bot(set(X3)) != X4)),
% 8.48/2.13    inference(ennf_transformation,[],[f20788])).
% 8.48/2.13  tff(f20788,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : set(X0),X2 : X0] : (bot_bot(set(X0)) != X1 => aa(X0,X0,aa(X0,fun(X0,X0),ord_max(X0),X2),aa(set(X0),X0,complete_Sup_Sup(X0),X1)) = iG285(X0,X1,X2)) & ! [X3 : $tType,X4 : set(X3),X5 : X3] : (bot_bot(set(X3)) = X4 => iG285(X3,X4,X5) = X5)),
% 8.48/2.13    inference(flattening,[],[f20787])).
% 8.48/2.13  tff(f20787,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : set(X0),X2 : X0] : (~bot_bot(set(X0)) = X1 => aa(X0,X0,aa(X0,fun(X0,X0),ord_max(X0),X2),aa(set(X0),X0,complete_Sup_Sup(X0),X1)) = iG285(X0,X1,X2)) & ! [X3 : $tType,X4 : set(X3),X5 : X3] : (bot_bot(set(X3)) = X4 => iG285(X3,X4,X5) = X5)),
% 8.48/2.13    inference(rectify,[],[f12035])).
% 8.48/2.13  tff(f12035,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : set(X0),X2 : X0] : (~bot_bot(set(X0)) = X1 => aa(X0,X0,aa(X0,fun(X0,X0),ord_max(X0),X2),aa(set(X0),X0,complete_Sup_Sup(X0),X1)) = iG285(X0,X1,X2)) & ! [X0 : $tType,X1 : set(X0),X2 : X0] : (bot_bot(set(X0)) = X1 => iG285(X0,X1,X2) = X2)),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG285])])).
% 8.48/2.13  tff(f45267,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : X0,X1 : set(X0)] : (aa(X0,X0,aa(X0,fun(X0,X0),ord_max(X0),X2),aa(set(X0),X0,complete_Sup_Sup(X0),X1)) = iG285(X0,X1,X2) | bot_bot(set(X0)) = X1) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26286])).
% 8.48/2.13  tff(f61573,plain,(
% 8.48/2.13    ( ! [X3 : $tType,X5 : nat] : (one_one(X3) = iG286(X3,X5,X5)) )),
% 8.48/2.13    inference(equality_resolution,[],[f45264])).
% 8.48/2.13  tff(f45264,plain,(
% 8.48/2.13    ( ! [X3 : $tType,X4 : nat,X5 : nat] : (one_one(X3) = iG286(X3,X4,X5) | X4 != X5) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26285])).
% 8.48/2.13  tff(f26285,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat] : (zero_zero(X0) = iG286(X0,X1,X2) | X1 = X2) & ! [X3 : $tType,X4 : nat,X5 : nat] : (one_one(X3) = iG286(X3,X4,X5) | X4 != X5)),
% 8.48/2.13    inference(ennf_transformation,[],[f20786])).
% 8.48/2.13  tff(f20786,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat] : (X1 != X2 => zero_zero(X0) = iG286(X0,X1,X2)) & ! [X3 : $tType,X4 : nat,X5 : nat] : (X4 = X5 => one_one(X3) = iG286(X3,X4,X5))),
% 8.48/2.13    inference(flattening,[],[f20785])).
% 8.48/2.13  tff(f20785,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat] : (~X1 = X2 => zero_zero(X0) = iG286(X0,X1,X2)) & ! [X3 : $tType,X4 : nat,X5 : nat] : (X4 = X5 => one_one(X3) = iG286(X3,X4,X5))),
% 8.48/2.13    inference(rectify,[],[f12062])).
% 8.48/2.13  tff(f12062,plain,(
% 8.48/2.13    ! [X0 : $tType,X4 : nat,X1 : nat] : (~X1 = X4 => zero_zero(X0) = iG286(X0,X4,X1)) & ! [X0 : $tType,X4 : nat,X1 : nat] : (X1 = X4 => one_one(X0) = iG286(X0,X4,X1))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG286])])).
% 8.48/2.13  tff(f45265,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : nat,X1 : nat] : (zero_zero(X0) = iG286(X0,X1,X2) | X1 = X2) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26285])).
% 8.48/2.13  tff(f61572,plain,(
% 8.48/2.13    ( ! [X4 : $tType,X6 : nat,X7 : X4] : (aa(X4,X4,uminus_uminus(X4),X7) = iG287(X4,zero_zero(nat),X6,X7)) )),
% 8.48/2.13    inference(equality_resolution,[],[f45262])).
% 8.48/2.13  tff(f45262,plain,(
% 8.48/2.13    ( ! [X4 : $tType,X6 : nat,X7 : X4,X5 : nat] : (aa(X4,X4,uminus_uminus(X4),X7) = iG287(X4,X5,X6,X7) | zero_zero(nat) != X5) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26284])).
% 8.48/2.13  tff(f26284,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : X0] : (iG286(X0,X1,X2) = iG287(X0,X1,X2,X3) | zero_zero(nat) = X1) & ! [X4 : $tType,X5 : nat,X6 : nat,X7 : X4] : (aa(X4,X4,uminus_uminus(X4),X7) = iG287(X4,X5,X6,X7) | zero_zero(nat) != X5)),
% 8.48/2.13    inference(ennf_transformation,[],[f20784])).
% 8.48/2.13  tff(f20784,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : X0] : (zero_zero(nat) != X1 => iG286(X0,X1,X2) = iG287(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : nat,X6 : nat,X7 : X4] : (zero_zero(nat) = X5 => aa(X4,X4,uminus_uminus(X4),X7) = iG287(X4,X5,X6,X7))),
% 8.48/2.13    inference(flattening,[],[f20783])).
% 8.48/2.13  tff(f20783,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : X0] : (~zero_zero(nat) = X1 => iG286(X0,X1,X2) = iG287(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : nat,X6 : nat,X7 : X4] : (zero_zero(nat) = X5 => aa(X4,X4,uminus_uminus(X4),X7) = iG287(X4,X5,X6,X7))),
% 8.48/2.13    inference(rectify,[],[f12063])).
% 8.48/2.13  tff(f12063,plain,(
% 8.48/2.13    ! [X0 : $tType,X4 : nat,X1 : nat,X3 : X0] : (~zero_zero(nat) = X4 => iG286(X0,X4,X1) = iG287(X0,X4,X1,X3)) & ! [X0 : $tType,X4 : nat,X1 : nat,X3 : X0] : (zero_zero(nat) = X4 => aa(X0,X0,uminus_uminus(X0),X3) = iG287(X0,X4,X1,X3))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG287])])).
% 8.48/2.13  tff(f45263,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : nat,X3 : X0,X1 : nat] : (iG286(X0,X1,X2) = iG287(X0,X1,X2,X3) | zero_zero(nat) = X1) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26284])).
% 8.48/2.13  tff(f45260,plain,(
% 8.48/2.13    ( ! [X4 : $tType,X6 : nat,X7 : fun(nat,X4),X5 : nat] : (aa(X4,X4,aa(X4,fun(X4,X4),minus_minus(X4),aa(nat,X4,X7,X6)),aa(nat,X4,X7,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X5),one_one(nat)))) = iG288(X4,X5,X6,X7) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X6),X5))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26283])).
% 8.48/2.13  tff(f26283,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : fun(nat,X0)] : (zero_zero(X0) = iG288(X0,X1,X2,X3) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X2),X1))) & ! [X4 : $tType,X5 : nat,X6 : nat,X7 : fun(nat,X4)] : (aa(X4,X4,aa(X4,fun(X4,X4),minus_minus(X4),aa(nat,X4,X7,X6)),aa(nat,X4,X7,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X5),one_one(nat)))) = iG288(X4,X5,X6,X7) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X6),X5)))),
% 8.48/2.13    inference(ennf_transformation,[],[f20782])).
% 8.48/2.13  tff(f20782,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : fun(nat,X0)] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X2),X1)) => zero_zero(X0) = iG288(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : nat,X6 : nat,X7 : fun(nat,X4)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X6),X5)) => aa(X4,X4,aa(X4,fun(X4,X4),minus_minus(X4),aa(nat,X4,X7,X6)),aa(nat,X4,X7,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X5),one_one(nat)))) = iG288(X4,X5,X6,X7))),
% 8.48/2.13    inference(flattening,[],[f20781])).
% 8.48/2.13  tff(f20781,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : fun(nat,X0)] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X2),X1)) => zero_zero(X0) = iG288(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : nat,X6 : nat,X7 : fun(nat,X4)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X6),X5)) => aa(X4,X4,aa(X4,fun(X4,X4),minus_minus(X4),aa(nat,X4,X7,X6)),aa(nat,X4,X7,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X5),one_one(nat)))) = iG288(X4,X5,X6,X7))),
% 8.48/2.13    inference(rectify,[],[f12072])).
% 8.48/2.13  tff(f12072,plain,(
% 8.48/2.13    ! [X0 : $tType,X3 : nat,X2 : nat,X1 : fun(nat,X0)] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X2),X3)) => zero_zero(X0) = iG288(X0,X3,X2,X1)) & ! [X0 : $tType,X3 : nat,X2 : nat,X1 : fun(nat,X0)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X2),X3)) => aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),aa(nat,X0,X1,X2)),aa(nat,X0,X1,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X3),one_one(nat)))) = iG288(X0,X3,X2,X1))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG288])])).
% 8.48/2.13  tff(f45261,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : nat,X3 : fun(nat,X0),X1 : nat] : (zero_zero(X0) = iG288(X0,X1,X2,X3) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X2),X1))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26283])).
% 8.48/2.13  tff(f61571,plain,(
% 8.48/2.13    ($true = bG289($true))),
% 8.48/2.13    inference(equality_resolution,[],[f45258])).
% 8.48/2.13  tff(f45258,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = bG289(X0)) | ($true != X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36427])).
% 8.48/2.13  tff(f36427,plain,(
% 8.48/2.13    ! [X0 : $o] : ((($true = X0) | ($true != bG289(X0))) & (($true = bG289(X0)) | ($true != X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20780])).
% 8.48/2.13  tff(f20780,plain,(
% 8.48/2.13    ! [X0 : $o] : (($true = X0) <=> ($true = bG289(X0)))),
% 8.48/2.13    inference(rectify,[],[f12083])).
% 8.48/2.13  tff(f12083,plain,(
% 8.48/2.13    ! [X1 : $o] : (($true = X1) <=> ($true = bG289(X1)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG289])])).
% 8.48/2.13  tff(f45259,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = X0) | ($true != bG289(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36427])).
% 8.48/2.13  tff(f61570,plain,(
% 8.48/2.13    ($true = bG290($true))),
% 8.48/2.13    inference(equality_resolution,[],[f45256])).
% 8.48/2.13  tff(f45256,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = bG290(X0)) | ($true != X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36426])).
% 8.48/2.13  tff(f36426,plain,(
% 8.48/2.13    ! [X0 : $o] : ((($true = X0) | ($true != bG290(X0))) & (($true = bG290(X0)) | ($true != X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20779])).
% 8.48/2.13  tff(f20779,plain,(
% 8.48/2.13    ! [X0 : $o] : (($true = X0) <=> ($true = bG290(X0)))),
% 8.48/2.13    inference(rectify,[],[f12086])).
% 8.48/2.13  tff(f12086,plain,(
% 8.48/2.13    ! [X1 : $o] : (($true = X1) <=> ($true = bG290(X1)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG290])])).
% 8.48/2.13  tff(f45257,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = X0) | ($true != bG290(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36426])).
% 8.48/2.13  tff(f61569,plain,(
% 8.48/2.13    ($true = bG291($true))),
% 8.48/2.13    inference(equality_resolution,[],[f45254])).
% 8.48/2.13  tff(f45254,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = bG291(X0)) | ($true != X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36425])).
% 8.48/2.13  tff(f36425,plain,(
% 8.48/2.13    ! [X0 : $o] : ((($true = X0) | ($true != bG291(X0))) & (($true = bG291(X0)) | ($true != X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20778])).
% 8.48/2.13  tff(f20778,plain,(
% 8.48/2.13    ! [X0 : $o] : (($true = X0) <=> ($true = bG291(X0)))),
% 8.48/2.13    inference(rectify,[],[f12101])).
% 8.48/2.13  tff(f12101,plain,(
% 8.48/2.13    ! [X1 : $o] : (($true = X1) <=> ($true = bG291(X1)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG291])])).
% 8.48/2.13  tff(f45255,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = X0) | ($true != bG291(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36425])).
% 8.48/2.13  tff(f61568,plain,(
% 8.48/2.13    ($true = bG292($true))),
% 8.48/2.13    inference(equality_resolution,[],[f45252])).
% 8.48/2.13  tff(f45252,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = bG292(X0)) | ($true != X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36424])).
% 8.48/2.13  tff(f36424,plain,(
% 8.48/2.13    ! [X0 : $o] : ((($true = X0) | ($true != bG292(X0))) & (($true = bG292(X0)) | ($true != X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20777])).
% 8.48/2.13  tff(f20777,plain,(
% 8.48/2.13    ! [X0 : $o] : (($true = X0) <=> ($true = bG292(X0)))),
% 8.48/2.13    inference(rectify,[],[f12104])).
% 8.48/2.13  tff(f12104,plain,(
% 8.48/2.13    ! [X1 : $o] : (($true = X1) <=> ($true = bG292(X1)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG292])])).
% 8.48/2.13  tff(f45253,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = X0) | ($true != bG292(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36424])).
% 8.48/2.13  tff(f45251,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X1 : int] : (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))),ring_1_of_int(X0,divide_divide(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))))) = lG293(X0,X1)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f12221])).
% 8.48/2.13  tff(f12221,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : int] : aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))),ring_1_of_int(X0,divide_divide(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))))) = lG293(X0,X1)),
% 8.48/2.13    introduced(fool_let_definition,[new_symbols(definition,[lG293])])).
% 8.48/2.13  tff(f45249,plain,(
% 8.48/2.13    ( ! [X2 : $tType,X3 : int] : (lG293(X2,X3) = iG294(X2,X3) | zero_zero(int) != modulo_modulo(int,X3,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26282])).
% 8.48/2.13  tff(f26282,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : int] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),lG293(X0,X1)),one_one(X0)) = iG294(X0,X1) | zero_zero(int) = modulo_modulo(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))) & ! [X2 : $tType,X3 : int] : (lG293(X2,X3) = iG294(X2,X3) | zero_zero(int) != modulo_modulo(int,X3,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))))),
% 8.48/2.13    inference(ennf_transformation,[],[f20776])).
% 8.48/2.13  tff(f20776,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : int] : (zero_zero(int) != modulo_modulo(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))) => aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),lG293(X0,X1)),one_one(X0)) = iG294(X0,X1)) & ! [X2 : $tType,X3 : int] : (zero_zero(int) = modulo_modulo(int,X3,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))) => lG293(X2,X3) = iG294(X2,X3))),
% 8.48/2.13    inference(flattening,[],[f20775])).
% 8.48/2.13  tff(f20775,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : int] : (~zero_zero(int) = modulo_modulo(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))) => aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),lG293(X0,X1)),one_one(X0)) = iG294(X0,X1)) & ! [X2 : $tType,X3 : int] : (zero_zero(int) = modulo_modulo(int,X3,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))) => lG293(X2,X3) = iG294(X2,X3))),
% 8.48/2.13    inference(rectify,[],[f12222])).
% 8.48/2.13  tff(f12222,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : int] : (~zero_zero(int) = modulo_modulo(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))) => aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),lG293(X0,X1)),one_one(X0)) = iG294(X0,X1)) & ! [X0 : $tType,X1 : int] : (zero_zero(int) = modulo_modulo(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))) => lG293(X0,X1) = iG294(X0,X1))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG294])])).
% 8.48/2.13  tff(f45250,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X1 : int] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),lG293(X0,X1)),one_one(X0)) = iG294(X0,X1) | zero_zero(int) = modulo_modulo(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26282])).
% 8.48/2.13  tff(f45247,plain,(
% 8.48/2.13    ( ! [X2 : $tType,X3 : int] : (aa(X2,X2,uminus_uminus(X2),ring_1_of_int(X2,aa(int,int,uminus_uminus(int),X3))) = iG295(X2,X3) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X3),zero_zero(int)))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26281])).
% 8.48/2.13  tff(f26281,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : int] : (iG294(X0,X1) = iG295(X0,X1) | ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X1),zero_zero(int)))) & ! [X2 : $tType,X3 : int] : (aa(X2,X2,uminus_uminus(X2),ring_1_of_int(X2,aa(int,int,uminus_uminus(int),X3))) = iG295(X2,X3) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X3),zero_zero(int))))),
% 8.48/2.13    inference(ennf_transformation,[],[f20774])).
% 8.48/2.13  tff(f20774,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : int] : (($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X1),zero_zero(int))) => iG294(X0,X1) = iG295(X0,X1)) & ! [X2 : $tType,X3 : int] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X3),zero_zero(int))) => aa(X2,X2,uminus_uminus(X2),ring_1_of_int(X2,aa(int,int,uminus_uminus(int),X3))) = iG295(X2,X3))),
% 8.48/2.13    inference(flattening,[],[f20773])).
% 8.48/2.13  tff(f20773,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : int] : (~($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X1),zero_zero(int))) => iG294(X0,X1) = iG295(X0,X1)) & ! [X2 : $tType,X3 : int] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X3),zero_zero(int))) => aa(X2,X2,uminus_uminus(X2),ring_1_of_int(X2,aa(int,int,uminus_uminus(int),X3))) = iG295(X2,X3))),
% 8.48/2.13    inference(rectify,[],[f12223])).
% 8.48/2.13  tff(f12223,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : int] : (~($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X1),zero_zero(int))) => iG294(X0,X1) = iG295(X0,X1)) & ! [X0 : $tType,X1 : int] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X1),zero_zero(int))) => aa(X0,X0,uminus_uminus(X0),ring_1_of_int(X0,aa(int,int,uminus_uminus(int),X1))) = iG295(X0,X1))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG295])])).
% 8.48/2.13  tff(f45248,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X1 : int] : (iG294(X0,X1) = iG295(X0,X1) | ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X1),zero_zero(int)))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26281])).
% 8.48/2.13  tff(f61567,plain,(
% 8.48/2.13    ( ! [X2 : $tType] : (zero_zero(X2) = iG296(X2,zero_zero(int))) )),
% 8.48/2.13    inference(equality_resolution,[],[f45245])).
% 8.48/2.13  tff(f45245,plain,(
% 8.48/2.13    ( ! [X2 : $tType,X3 : int] : (zero_zero(X2) = iG296(X2,X3) | zero_zero(int) != X3) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26280])).
% 8.48/2.13  tff(f26280,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : int] : (iG295(X0,X1) = iG296(X0,X1) | zero_zero(int) = X1) & ! [X2 : $tType,X3 : int] : (zero_zero(X2) = iG296(X2,X3) | zero_zero(int) != X3)),
% 8.48/2.13    inference(ennf_transformation,[],[f20772])).
% 8.48/2.13  tff(f20772,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : int] : (zero_zero(int) != X1 => iG295(X0,X1) = iG296(X0,X1)) & ! [X2 : $tType,X3 : int] : (zero_zero(int) = X3 => zero_zero(X2) = iG296(X2,X3))),
% 8.48/2.13    inference(flattening,[],[f20771])).
% 8.48/2.13  tff(f20771,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : int] : (~zero_zero(int) = X1 => iG295(X0,X1) = iG296(X0,X1)) & ! [X2 : $tType,X3 : int] : (zero_zero(int) = X3 => zero_zero(X2) = iG296(X2,X3))),
% 8.48/2.13    inference(rectify,[],[f12224])).
% 8.48/2.13  tff(f12224,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : int] : (~zero_zero(int) = X1 => iG295(X0,X1) = iG296(X0,X1)) & ! [X0 : $tType,X1 : int] : (zero_zero(int) = X1 => zero_zero(X0) = iG296(X0,X1))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG296])])).
% 8.48/2.13  tff(f45246,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X1 : int] : (iG295(X0,X1) = iG296(X0,X1) | zero_zero(int) = X1) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26280])).
% 8.48/2.13  tff(f45243,plain,(
% 8.48/2.13    ( ! [X2 : $tType,X3 : nat] : (one_one(X2) = iG297(X2,X3) | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X3)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26279])).
% 8.48/2.13  tff(f26279,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat] : (aa(X0,X0,uminus_uminus(X0),one_one(X0)) = iG297(X0,X1) | dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1)) & ! [X2 : $tType,X3 : nat] : (one_one(X2) = iG297(X2,X3) | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X3))),
% 8.48/2.13    inference(ennf_transformation,[],[f20770])).
% 8.48/2.13  tff(f20770,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat] : (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1) => aa(X0,X0,uminus_uminus(X0),one_one(X0)) = iG297(X0,X1)) & ! [X2 : $tType,X3 : nat] : (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X3) => one_one(X2) = iG297(X2,X3))),
% 8.48/2.13    inference(flattening,[],[f20769])).
% 8.48/2.13  tff(f20769,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat] : (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1) => aa(X0,X0,uminus_uminus(X0),one_one(X0)) = iG297(X0,X1)) & ! [X2 : $tType,X3 : nat] : (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X3) => one_one(X2) = iG297(X2,X3))),
% 8.48/2.13    inference(rectify,[],[f12227])).
% 8.48/2.13  tff(f12227,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat] : (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1) => aa(X0,X0,uminus_uminus(X0),one_one(X0)) = iG297(X0,X1)) & ! [X0 : $tType,X1 : nat] : (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1) => one_one(X0) = iG297(X0,X1))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG297])])).
% 8.48/2.13  tff(f45244,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X1 : nat] : (aa(X0,X0,uminus_uminus(X0),one_one(X0)) = iG297(X0,X1) | dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26279])).
% 8.48/2.13  tff(f45241,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = bG298(X0)) | ($true = X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36423])).
% 8.48/2.13  tff(f36423,plain,(
% 8.48/2.13    ! [X0 : $o] : ((($true != X0) | ($true != bG298(X0))) & (($true = bG298(X0)) | ($true = X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20768])).
% 8.48/2.13  tff(f20768,plain,(
% 8.48/2.13    ! [X0 : $o] : (($true != X0) <=> ($true = bG298(X0)))),
% 8.48/2.13    inference(flattening,[],[f20767])).
% 8.48/2.13  tff(f20767,plain,(
% 8.48/2.13    ! [X0 : $o] : (~($true = X0) <=> ($true = bG298(X0)))),
% 8.48/2.13    inference(rectify,[],[f12230])).
% 8.48/2.13  tff(f12230,plain,(
% 8.48/2.13    ! [X1 : $o] : (~($true = X1) <=> ($true = bG298(X1)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG298])])).
% 8.48/2.13  tff(f61566,plain,(
% 8.48/2.13    ($true != bG298($true))),
% 8.48/2.13    inference(equality_resolution,[],[f45242])).
% 8.48/2.13  tff(f45242,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true != X0) | ($true != bG298(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36423])).
% 8.48/2.13  tff(f61565,plain,(
% 8.48/2.13    ($true = bG299($true))),
% 8.48/2.13    inference(equality_resolution,[],[f45239])).
% 8.48/2.13  tff(f45239,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = bG299(X0)) | ($true != X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36422])).
% 8.48/2.13  tff(f36422,plain,(
% 8.48/2.13    ! [X0 : $o] : ((($true = X0) | ($true != bG299(X0))) & (($true = bG299(X0)) | ($true != X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20766])).
% 8.48/2.13  tff(f20766,plain,(
% 8.48/2.13    ! [X0 : $o] : (($true = X0) <=> ($true = bG299(X0)))),
% 8.48/2.13    inference(rectify,[],[f12231])).
% 8.48/2.13  tff(f12231,plain,(
% 8.48/2.13    ! [X1 : $o] : (($true = X1) <=> ($true = bG299(X1)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG299])])).
% 8.48/2.13  tff(f45240,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = X0) | ($true != bG299(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36422])).
% 8.48/2.13  tff(f45237,plain,(
% 8.48/2.13    ( ! [X3 : $tType,X4 : nat,X5 : X3] : (aa(nat,X3,aa(X3,fun(nat,X3),power_power(X3),X5),X4) = iG300(X3,X4,X5) | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X4)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26278])).
% 8.48/2.13  tff(f26278,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : X0] : (aa(X0,X0,uminus_uminus(X0),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X2),X1)) = iG300(X0,X1,X2) | dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1)) & ! [X3 : $tType,X4 : nat,X5 : X3] : (aa(nat,X3,aa(X3,fun(nat,X3),power_power(X3),X5),X4) = iG300(X3,X4,X5) | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X4))),
% 8.48/2.13    inference(ennf_transformation,[],[f20765])).
% 8.48/2.13  tff(f20765,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : X0] : (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1) => aa(X0,X0,uminus_uminus(X0),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X2),X1)) = iG300(X0,X1,X2)) & ! [X3 : $tType,X4 : nat,X5 : X3] : (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X4) => aa(nat,X3,aa(X3,fun(nat,X3),power_power(X3),X5),X4) = iG300(X3,X4,X5))),
% 8.48/2.13    inference(flattening,[],[f20764])).
% 8.48/2.13  tff(f20764,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : X0] : (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1) => aa(X0,X0,uminus_uminus(X0),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X2),X1)) = iG300(X0,X1,X2)) & ! [X3 : $tType,X4 : nat,X5 : X3] : (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X4) => aa(nat,X3,aa(X3,fun(nat,X3),power_power(X3),X5),X4) = iG300(X3,X4,X5))),
% 8.48/2.13    inference(rectify,[],[f12238])).
% 8.48/2.13  tff(f12238,plain,(
% 8.48/2.13    ! [X0 : $tType,X2 : nat,X1 : X0] : (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2) => aa(X0,X0,uminus_uminus(X0),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),X2)) = iG300(X0,X2,X1)) & ! [X0 : $tType,X2 : nat,X1 : X0] : (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2) => aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),X2) = iG300(X0,X2,X1))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG300])])).
% 8.48/2.13  tff(f45238,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : X0,X1 : nat] : (aa(X0,X0,uminus_uminus(X0),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X2),X1)) = iG300(X0,X1,X2) | dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26278])).
% 8.48/2.13  tff(f61564,plain,(
% 8.48/2.13    ($true = bG301($true))),
% 8.48/2.13    inference(equality_resolution,[],[f45235])).
% 8.48/2.13  tff(f45235,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = bG301(X0)) | ($true != X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36421])).
% 8.48/2.13  tff(f36421,plain,(
% 8.48/2.13    ! [X0 : $o] : ((($true = X0) | ($true != bG301(X0))) & (($true = bG301(X0)) | ($true != X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20763])).
% 8.48/2.13  tff(f20763,plain,(
% 8.48/2.13    ! [X0 : $o] : (($true = X0) <=> ($true = bG301(X0)))),
% 8.48/2.13    inference(rectify,[],[f12391])).
% 8.48/2.13  tff(f12391,plain,(
% 8.48/2.13    ! [X1 : $o] : (($true = X1) <=> ($true = bG301(X1)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG301])])).
% 8.48/2.13  tff(f45236,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = X0) | ($true != bG301(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36421])).
% 8.48/2.13  tff(f61563,plain,(
% 8.48/2.13    ($true = bG302($true))),
% 8.48/2.13    inference(equality_resolution,[],[f45233])).
% 8.48/2.13  tff(f45233,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = bG302(X0)) | ($true != X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36420])).
% 8.48/2.13  tff(f36420,plain,(
% 8.48/2.13    ! [X0 : $o] : ((($true = X0) | ($true != bG302(X0))) & (($true = bG302(X0)) | ($true != X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20762])).
% 8.48/2.13  tff(f20762,plain,(
% 8.48/2.13    ! [X0 : $o] : (($true = X0) <=> ($true = bG302(X0)))),
% 8.48/2.13    inference(rectify,[],[f12392])).
% 8.48/2.13  tff(f12392,plain,(
% 8.48/2.13    ! [X2 : $o] : (($true = X2) <=> ($true = bG302(X2)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG302])])).
% 8.48/2.13  tff(f45234,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = X0) | ($true != bG302(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36420])).
% 8.48/2.13  tff(f61562,plain,(
% 8.48/2.13    ($true = bG303($true))),
% 8.48/2.13    inference(equality_resolution,[],[f45231])).
% 8.48/2.13  tff(f45231,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = bG303(X0)) | ($true != X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36419])).
% 8.48/2.13  tff(f36419,plain,(
% 8.48/2.13    ! [X0 : $o] : ((($true = X0) | ($true != bG303(X0))) & (($true = bG303(X0)) | ($true != X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20761])).
% 8.48/2.13  tff(f20761,plain,(
% 8.48/2.13    ! [X0 : $o] : (($true = X0) <=> ($true = bG303(X0)))),
% 8.48/2.13    inference(rectify,[],[f12395])).
% 8.48/2.13  tff(f12395,plain,(
% 8.48/2.13    ! [X1 : $o] : (($true = X1) <=> ($true = bG303(X1)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG303])])).
% 8.48/2.13  tff(f45232,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = X0) | ($true != bG303(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36419])).
% 8.48/2.13  tff(f61561,plain,(
% 8.48/2.13    ($true = bG304($true))),
% 8.48/2.13    inference(equality_resolution,[],[f45229])).
% 8.48/2.13  tff(f45229,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = bG304(X0)) | ($true != X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36418])).
% 8.48/2.13  tff(f36418,plain,(
% 8.48/2.13    ! [X0 : $o] : ((($true = X0) | ($true != bG304(X0))) & (($true = bG304(X0)) | ($true != X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20760])).
% 8.48/2.13  tff(f20760,plain,(
% 8.48/2.13    ! [X0 : $o] : (($true = X0) <=> ($true = bG304(X0)))),
% 8.48/2.13    inference(rectify,[],[f12396])).
% 8.48/2.13  tff(f12396,plain,(
% 8.48/2.13    ! [X2 : $o] : (($true = X2) <=> ($true = bG304(X2)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG304])])).
% 8.48/2.13  tff(f45230,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = X0) | ($true != bG304(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36418])).
% 8.48/2.13  tff(f61560,plain,(
% 8.48/2.13    ($true = bG305($true))),
% 8.48/2.13    inference(equality_resolution,[],[f45227])).
% 8.48/2.13  tff(f45227,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = bG305(X0)) | ($true != X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36417])).
% 8.48/2.13  tff(f36417,plain,(
% 8.48/2.13    ! [X0 : $o] : ((($true = X0) | ($true != bG305(X0))) & (($true = bG305(X0)) | ($true != X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20759])).
% 8.48/2.13  tff(f20759,plain,(
% 8.48/2.13    ! [X0 : $o] : (($true = X0) <=> ($true = bG305(X0)))),
% 8.48/2.13    inference(rectify,[],[f12518])).
% 8.48/2.13  tff(f12518,plain,(
% 8.48/2.13    ! [X1 : $o] : (($true = X1) <=> ($true = bG305(X1)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG305])])).
% 8.48/2.13  tff(f45228,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = X0) | ($true != bG305(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36417])).
% 8.48/2.13  tff(f61559,plain,(
% 8.48/2.13    ( ! [X2 : $tType] : (one_one(X2) = iG306(X2,$true)) )),
% 8.48/2.13    inference(equality_resolution,[],[f45225])).
% 8.48/2.13  tff(f45225,plain,(
% 8.48/2.13    ( ! [X2 : $tType,X3 : $o] : (one_one(X2) = iG306(X2,X3) | ($true != X3)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26277])).
% 8.48/2.13  tff(f26277,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : $o] : (zero_zero(X0) = iG306(X0,X1) | ($true = X1)) & ! [X2 : $tType,X3 : $o] : (one_one(X2) = iG306(X2,X3) | ($true != X3))),
% 8.48/2.13    inference(ennf_transformation,[],[f20758])).
% 8.48/2.13  tff(f20758,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : $o] : (($true != X1) => zero_zero(X0) = iG306(X0,X1)) & ! [X2 : $tType,X3 : $o] : (($true = X3) => one_one(X2) = iG306(X2,X3))),
% 8.48/2.13    inference(flattening,[],[f20757])).
% 8.48/2.13  tff(f20757,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : $o] : (~($true = X1) => zero_zero(X0) = iG306(X0,X1)) & ! [X2 : $tType,X3 : $o] : (($true = X3) => one_one(X2) = iG306(X2,X3))),
% 8.48/2.13    inference(rectify,[],[f12519])).
% 8.48/2.13  tff(f12519,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : $o] : (~($true = X1) => zero_zero(X0) = iG306(X0,X1)) & ! [X0 : $tType,X1 : $o] : (($true = X1) => one_one(X0) = iG306(X0,X1))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG306])])).
% 8.48/2.13  tff(f45226,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X1 : $o] : (zero_zero(X0) = iG306(X0,X1) | ($true = X1)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26277])).
% 8.48/2.13  tff(f61558,plain,(
% 8.48/2.13    ($true = bG307($true))),
% 8.48/2.13    inference(equality_resolution,[],[f45223])).
% 8.48/2.13  tff(f45223,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = bG307(X0)) | ($true != X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36416])).
% 8.48/2.13  tff(f36416,plain,(
% 8.48/2.13    ! [X0 : $o] : ((($true = X0) | ($true != bG307(X0))) & (($true = bG307(X0)) | ($true != X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20756])).
% 8.48/2.13  tff(f20756,plain,(
% 8.48/2.13    ! [X0 : $o] : (($true = X0) <=> ($true = bG307(X0)))),
% 8.48/2.13    inference(rectify,[],[f12522])).
% 8.48/2.13  tff(f12522,plain,(
% 8.48/2.13    ! [X1 : $o] : (($true = X1) <=> ($true = bG307(X1)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG307])])).
% 8.48/2.13  tff(f45224,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = X0) | ($true != bG307(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36416])).
% 8.48/2.13  tff(f61557,plain,(
% 8.48/2.13    ($true = bG308($true))),
% 8.48/2.13    inference(equality_resolution,[],[f45221])).
% 8.48/2.13  tff(f45221,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = bG308(X0)) | ($true != X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36415])).
% 8.48/2.13  tff(f36415,plain,(
% 8.48/2.13    ! [X0 : $o] : ((($true = X0) | ($true != bG308(X0))) & (($true = bG308(X0)) | ($true != X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20755])).
% 8.48/2.13  tff(f20755,plain,(
% 8.48/2.13    ! [X0 : $o] : (($true = X0) <=> ($true = bG308(X0)))),
% 8.48/2.13    inference(rectify,[],[f12525])).
% 8.48/2.13  tff(f12525,plain,(
% 8.48/2.13    ! [X2 : $o] : (($true = X2) <=> ($true = bG308(X2)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG308])])).
% 8.48/2.13  tff(f45222,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = X0) | ($true != bG308(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36415])).
% 8.48/2.13  tff(f61556,plain,(
% 8.48/2.13    ($true = bG309($true))),
% 8.48/2.13    inference(equality_resolution,[],[f45219])).
% 8.48/2.13  tff(f45219,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = bG309(X0)) | ($true != X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36414])).
% 8.48/2.13  tff(f36414,plain,(
% 8.48/2.13    ! [X0 : $o] : ((($true = X0) | ($true != bG309(X0))) & (($true = bG309(X0)) | ($true != X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20754])).
% 8.48/2.13  tff(f20754,plain,(
% 8.48/2.13    ! [X0 : $o] : (($true = X0) <=> ($true = bG309(X0)))),
% 8.48/2.13    inference(rectify,[],[f12528])).
% 8.48/2.13  tff(f12528,plain,(
% 8.48/2.13    ! [X2 : $o] : (($true = X2) <=> ($true = bG309(X2)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG309])])).
% 8.48/2.13  tff(f45220,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = X0) | ($true != bG309(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36414])).
% 8.48/2.13  tff(f61555,plain,(
% 8.48/2.13    ( ! [X3 : $tType,X5 : X3] : (one_one(X3) = iG310(X3,zero_zero(nat),X5)) )),
% 8.48/2.13    inference(equality_resolution,[],[f45217])).
% 8.48/2.13  tff(f45217,plain,(
% 8.48/2.13    ( ! [X3 : $tType,X4 : nat,X5 : X3] : (one_one(X3) = iG310(X3,X4,X5) | zero_zero(nat) != X4) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26276])).
% 8.48/2.13  tff(f26276,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X2),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X2),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat)))) = iG310(X0,X1,X2) | zero_zero(nat) = X1) & ! [X3 : $tType,X4 : nat,X5 : X3] : (one_one(X3) = iG310(X3,X4,X5) | zero_zero(nat) != X4)),
% 8.48/2.13    inference(ennf_transformation,[],[f20753])).
% 8.48/2.13  tff(f20753,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : X0] : (zero_zero(nat) != X1 => aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X2),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X2),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat)))) = iG310(X0,X1,X2)) & ! [X3 : $tType,X4 : nat,X5 : X3] : (zero_zero(nat) = X4 => one_one(X3) = iG310(X3,X4,X5))),
% 8.48/2.13    inference(flattening,[],[f20752])).
% 8.48/2.13  tff(f20752,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : X0] : (~zero_zero(nat) = X1 => aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X2),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X2),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat)))) = iG310(X0,X1,X2)) & ! [X3 : $tType,X4 : nat,X5 : X3] : (zero_zero(nat) = X4 => one_one(X3) = iG310(X3,X4,X5))),
% 8.48/2.13    inference(rectify,[],[f12531])).
% 8.48/2.13  tff(f12531,plain,(
% 8.48/2.13    ! [X0 : $tType,X2 : nat,X1 : X0] : (~zero_zero(nat) = X2 => aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X2),one_one(nat)))) = iG310(X0,X2,X1)) & ! [X0 : $tType,X2 : nat,X1 : X0] : (zero_zero(nat) = X2 => one_one(X0) = iG310(X0,X2,X1))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG310])])).
% 8.48/2.13  tff(f45218,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : X0,X1 : nat] : (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X2),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X2),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat)))) = iG310(X0,X1,X2) | zero_zero(nat) = X1) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26276])).
% 8.48/2.13  tff(f45216,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X1 : num] : (aa(num,X0,numeral_numeral(X0),X1) = lG311(X0,X1)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f12546])).
% 8.48/2.13  tff(f12546,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : num] : aa(num,X0,numeral_numeral(X0),X1) = lG311(X0,X1)),
% 8.48/2.13    introduced(fool_let_definition,[new_symbols(definition,[lG311])])).
% 8.48/2.13  tff(f45215,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X1 : num] : (aa(num,X0,numeral_numeral(X0),X1) = lG312(X0,X1)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f12549])).
% 8.48/2.13  tff(f12549,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : num] : aa(num,X0,numeral_numeral(X0),X1) = lG312(X0,X1)),
% 8.48/2.13    introduced(fool_let_definition,[new_symbols(definition,[lG312])])).
% 8.48/2.13  tff(f61554,plain,(
% 8.48/2.13    ( ! [X2 : $tType] : (one_one(X2) = iG313(X2,zero_zero(nat))) )),
% 8.48/2.13    inference(equality_resolution,[],[f45213])).
% 8.48/2.13  tff(f45213,plain,(
% 8.48/2.13    ( ! [X2 : $tType,X3 : nat] : (one_one(X2) = iG313(X2,X3) | zero_zero(nat) != X3) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26275])).
% 8.48/2.13  tff(f26275,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat] : (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(nat,X0,semiring_1_of_nat(X0),X1)),semiring_char_0_fact(X0,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat)))) = iG313(X0,X1) | zero_zero(nat) = X1) & ! [X2 : $tType,X3 : nat] : (one_one(X2) = iG313(X2,X3) | zero_zero(nat) != X3)),
% 8.48/2.13    inference(ennf_transformation,[],[f20751])).
% 8.48/2.13  tff(f20751,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat] : (zero_zero(nat) != X1 => aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(nat,X0,semiring_1_of_nat(X0),X1)),semiring_char_0_fact(X0,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat)))) = iG313(X0,X1)) & ! [X2 : $tType,X3 : nat] : (zero_zero(nat) = X3 => one_one(X2) = iG313(X2,X3))),
% 8.48/2.13    inference(flattening,[],[f20750])).
% 8.48/2.13  tff(f20750,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat] : (~zero_zero(nat) = X1 => aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(nat,X0,semiring_1_of_nat(X0),X1)),semiring_char_0_fact(X0,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat)))) = iG313(X0,X1)) & ! [X2 : $tType,X3 : nat] : (zero_zero(nat) = X3 => one_one(X2) = iG313(X2,X3))),
% 8.48/2.13    inference(rectify,[],[f12552])).
% 8.48/2.13  tff(f12552,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat] : (~zero_zero(nat) = X1 => aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(nat,X0,semiring_1_of_nat(X0),X1)),semiring_char_0_fact(X0,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat)))) = iG313(X0,X1)) & ! [X0 : $tType,X1 : nat] : (zero_zero(nat) = X1 => one_one(X0) = iG313(X0,X1))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG313])])).
% 8.48/2.13  tff(f45214,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X1 : nat] : (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(nat,X0,semiring_1_of_nat(X0),X1)),semiring_char_0_fact(X0,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat)))) = iG313(X0,X1) | zero_zero(nat) = X1) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26275])).
% 8.48/2.13  tff(f61553,plain,(
% 8.48/2.13    ( ! [X2 : $tType] : (one_one(X2) = iG314(X2,zero_zero(nat))) )),
% 8.48/2.13    inference(equality_resolution,[],[f45211])).
% 8.48/2.13  tff(f45211,plain,(
% 8.48/2.13    ( ! [X2 : $tType,X3 : nat] : (one_one(X2) = iG314(X2,X3) | zero_zero(nat) != X3) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26274])).
% 8.48/2.13  tff(f26274,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat] : (zero_zero(X0) = iG314(X0,X1) | zero_zero(nat) = X1) & ! [X2 : $tType,X3 : nat] : (one_one(X2) = iG314(X2,X3) | zero_zero(nat) != X3)),
% 8.48/2.13    inference(ennf_transformation,[],[f20749])).
% 8.48/2.13  tff(f20749,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat] : (zero_zero(nat) != X1 => zero_zero(X0) = iG314(X0,X1)) & ! [X2 : $tType,X3 : nat] : (zero_zero(nat) = X3 => one_one(X2) = iG314(X2,X3))),
% 8.48/2.13    inference(flattening,[],[f20748])).
% 8.48/2.13  tff(f20748,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat] : (~zero_zero(nat) = X1 => zero_zero(X0) = iG314(X0,X1)) & ! [X2 : $tType,X3 : nat] : (zero_zero(nat) = X3 => one_one(X2) = iG314(X2,X3))),
% 8.48/2.13    inference(rectify,[],[f12559])).
% 8.48/2.13  tff(f12559,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat] : (~zero_zero(nat) = X1 => zero_zero(X0) = iG314(X0,X1)) & ! [X0 : $tType,X1 : nat] : (zero_zero(nat) = X1 => one_one(X0) = iG314(X0,X1))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG314])])).
% 8.48/2.13  tff(f45212,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X1 : nat] : (zero_zero(X0) = iG314(X0,X1) | zero_zero(nat) = X1) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26274])).
% 8.48/2.13  tff(f61552,plain,(
% 8.48/2.13    ( ! [X3 : $tType,X5 : X3] : (one_one(X3) = iG315(X3,zero_zero(nat),X5)) )),
% 8.48/2.13    inference(equality_resolution,[],[f45209])).
% 8.48/2.13  tff(f45209,plain,(
% 8.48/2.13    ( ! [X3 : $tType,X4 : nat,X5 : X3] : (one_one(X3) = iG315(X3,X4,X5) | zero_zero(nat) != X4) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26273])).
% 8.48/2.13  tff(f26273,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : X0] : (set_fo6178422350223883121st_nat(X0,aTP_Lamp_fj(X0,fun(nat,fun(X0,X0)),X2),zero_zero(nat),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat)),one_one(X0)) = iG315(X0,X1,X2) | zero_zero(nat) = X1) & ! [X3 : $tType,X4 : nat,X5 : X3] : (one_one(X3) = iG315(X3,X4,X5) | zero_zero(nat) != X4)),
% 8.48/2.13    inference(ennf_transformation,[],[f20747])).
% 8.48/2.13  tff(f20747,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : X0] : (zero_zero(nat) != X1 => set_fo6178422350223883121st_nat(X0,aTP_Lamp_fj(X0,fun(nat,fun(X0,X0)),X2),zero_zero(nat),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat)),one_one(X0)) = iG315(X0,X1,X2)) & ! [X3 : $tType,X4 : nat,X5 : X3] : (zero_zero(nat) = X4 => one_one(X3) = iG315(X3,X4,X5))),
% 8.48/2.13    inference(flattening,[],[f20746])).
% 8.48/2.13  tff(f20746,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : X0] : (~zero_zero(nat) = X1 => set_fo6178422350223883121st_nat(X0,aTP_Lamp_fj(X0,fun(nat,fun(X0,X0)),X2),zero_zero(nat),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat)),one_one(X0)) = iG315(X0,X1,X2)) & ! [X3 : $tType,X4 : nat,X5 : X3] : (zero_zero(nat) = X4 => one_one(X3) = iG315(X3,X4,X5))),
% 8.48/2.13    inference(rectify,[],[f12562])).
% 8.48/2.13  tff(f12562,plain,(
% 8.48/2.13    ! [X0 : $tType,X2 : nat,X1 : X0] : (~zero_zero(nat) = X2 => set_fo6178422350223883121st_nat(X0,aTP_Lamp_fj(X0,fun(nat,fun(X0,X0)),X1),zero_zero(nat),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X2),one_one(nat)),one_one(X0)) = iG315(X0,X2,X1)) & ! [X0 : $tType,X2 : nat,X1 : X0] : (zero_zero(nat) = X2 => one_one(X0) = iG315(X0,X2,X1))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG315])])).
% 8.48/2.13  tff(f45210,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : X0,X1 : nat] : (set_fo6178422350223883121st_nat(X0,aTP_Lamp_fj(X0,fun(nat,fun(X0,X0)),X2),zero_zero(nat),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat)),one_one(X0)) = iG315(X0,X1,X2) | zero_zero(nat) = X1) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26273])).
% 8.48/2.13  tff(f61551,plain,(
% 8.48/2.13    ($true = bG316($true))),
% 8.48/2.13    inference(equality_resolution,[],[f45207])).
% 8.48/2.13  tff(f45207,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = bG316(X0)) | ($true != X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36413])).
% 8.48/2.13  tff(f36413,plain,(
% 8.48/2.13    ! [X0 : $o] : ((($true = X0) | ($true != bG316(X0))) & (($true = bG316(X0)) | ($true != X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20745])).
% 8.48/2.13  tff(f20745,plain,(
% 8.48/2.13    ! [X0 : $o] : (($true = X0) <=> ($true = bG316(X0)))),
% 8.48/2.13    inference(rectify,[],[f12575])).
% 8.48/2.13  tff(f12575,plain,(
% 8.48/2.13    ! [X1 : $o] : (($true = X1) <=> ($true = bG316(X1)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG316])])).
% 8.48/2.13  tff(f45208,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = X0) | ($true != bG316(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36413])).
% 8.48/2.13  tff(f61550,plain,(
% 8.48/2.13    ($true = bG317($true))),
% 8.48/2.13    inference(equality_resolution,[],[f45205])).
% 8.48/2.13  tff(f45205,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = bG317(X0)) | ($true != X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36412])).
% 8.48/2.13  tff(f36412,plain,(
% 8.48/2.13    ! [X0 : $o] : ((($true = X0) | ($true != bG317(X0))) & (($true = bG317(X0)) | ($true != X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20744])).
% 8.48/2.13  tff(f20744,plain,(
% 8.48/2.13    ! [X0 : $o] : (($true = X0) <=> ($true = bG317(X0)))),
% 8.48/2.13    inference(rectify,[],[f12576])).
% 8.48/2.13  tff(f12576,plain,(
% 8.48/2.13    ! [X2 : $o] : (($true = X2) <=> ($true = bG317(X2)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG317])])).
% 8.48/2.13  tff(f45206,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = X0) | ($true != bG317(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36412])).
% 8.48/2.13  tff(f61549,plain,(
% 8.48/2.13    ($true = bG318($true))),
% 8.48/2.13    inference(equality_resolution,[],[f45203])).
% 8.48/2.13  tff(f45203,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = bG318(X0)) | ($true != X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36411])).
% 8.48/2.13  tff(f36411,plain,(
% 8.48/2.13    ! [X0 : $o] : ((($true = X0) | ($true != bG318(X0))) & (($true = bG318(X0)) | ($true != X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20743])).
% 8.48/2.13  tff(f20743,plain,(
% 8.48/2.13    ! [X0 : $o] : (($true = X0) <=> ($true = bG318(X0)))),
% 8.48/2.13    inference(rectify,[],[f12577])).
% 8.48/2.13  tff(f12577,plain,(
% 8.48/2.13    ! [X3 : $o] : (($true = X3) <=> ($true = bG318(X3)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG318])])).
% 8.48/2.13  tff(f45204,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = X0) | ($true != bG318(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36411])).
% 8.48/2.13  tff(f61548,plain,(
% 8.48/2.13    ($true = bG319($true))),
% 8.48/2.13    inference(equality_resolution,[],[f45201])).
% 8.48/2.13  tff(f45201,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = bG319(X0)) | ($true != X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36410])).
% 8.48/2.13  tff(f36410,plain,(
% 8.48/2.13    ! [X0 : $o] : ((($true = X0) | ($true != bG319(X0))) & (($true = bG319(X0)) | ($true != X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20742])).
% 8.48/2.13  tff(f20742,plain,(
% 8.48/2.13    ! [X0 : $o] : (($true = X0) <=> ($true = bG319(X0)))),
% 8.48/2.13    inference(rectify,[],[f12578])).
% 8.48/2.13  tff(f12578,plain,(
% 8.48/2.13    ! [X4 : $o] : (($true = X4) <=> ($true = bG319(X4)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG319])])).
% 8.48/2.13  tff(f45202,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = X0) | ($true != bG319(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36410])).
% 8.48/2.13  tff(f61547,plain,(
% 8.48/2.13    ($true = bG320($true))),
% 8.48/2.13    inference(equality_resolution,[],[f45199])).
% 8.48/2.13  tff(f45199,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = bG320(X0)) | ($true != X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36409])).
% 8.48/2.13  tff(f36409,plain,(
% 8.48/2.13    ! [X0 : $o] : ((($true = X0) | ($true != bG320(X0))) & (($true = bG320(X0)) | ($true != X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20741])).
% 8.48/2.13  tff(f20741,plain,(
% 8.48/2.13    ! [X0 : $o] : (($true = X0) <=> ($true = bG320(X0)))),
% 8.48/2.13    inference(rectify,[],[f12579])).
% 8.48/2.13  tff(f12579,plain,(
% 8.48/2.13    ! [X5 : $o] : (($true = X5) <=> ($true = bG320(X5)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG320])])).
% 8.48/2.13  tff(f45200,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = X0) | ($true != bG320(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36409])).
% 8.48/2.13  tff(f61546,plain,(
% 8.48/2.13    ($true = bG321($true))),
% 8.48/2.13    inference(equality_resolution,[],[f45197])).
% 8.48/2.13  tff(f45197,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = bG321(X0)) | ($true != X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36408])).
% 8.48/2.13  tff(f36408,plain,(
% 8.48/2.13    ! [X0 : $o] : ((($true = X0) | ($true != bG321(X0))) & (($true = bG321(X0)) | ($true != X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20740])).
% 8.48/2.13  tff(f20740,plain,(
% 8.48/2.13    ! [X0 : $o] : (($true = X0) <=> ($true = bG321(X0)))),
% 8.48/2.13    inference(rectify,[],[f12580])).
% 8.48/2.13  tff(f12580,plain,(
% 8.48/2.13    ! [X6 : $o] : (($true = X6) <=> ($true = bG321(X6)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG321])])).
% 8.48/2.13  tff(f45198,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = X0) | ($true != bG321(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36408])).
% 8.48/2.13  tff(f61545,plain,(
% 8.48/2.13    ($true = bG322($true))),
% 8.48/2.13    inference(equality_resolution,[],[f45195])).
% 8.48/2.13  tff(f45195,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = bG322(X0)) | ($true != X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36407])).
% 8.48/2.13  tff(f36407,plain,(
% 8.48/2.13    ! [X0 : $o] : ((($true = X0) | ($true != bG322(X0))) & (($true = bG322(X0)) | ($true != X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20739])).
% 8.48/2.13  tff(f20739,plain,(
% 8.48/2.13    ! [X0 : $o] : (($true = X0) <=> ($true = bG322(X0)))),
% 8.48/2.13    inference(rectify,[],[f12581])).
% 8.48/2.13  tff(f12581,plain,(
% 8.48/2.13    ! [X7 : $o] : (($true = X7) <=> ($true = bG322(X7)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG322])])).
% 8.48/2.13  tff(f45196,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = X0) | ($true != bG322(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36407])).
% 8.48/2.13  tff(f61544,plain,(
% 8.48/2.13    ($true = bG323($true))),
% 8.48/2.13    inference(equality_resolution,[],[f45193])).
% 8.48/2.13  tff(f45193,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = bG323(X0)) | ($true != X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36406])).
% 8.48/2.13  tff(f36406,plain,(
% 8.48/2.13    ! [X0 : $o] : ((($true = X0) | ($true != bG323(X0))) & (($true = bG323(X0)) | ($true != X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20738])).
% 8.48/2.13  tff(f20738,plain,(
% 8.48/2.13    ! [X0 : $o] : (($true = X0) <=> ($true = bG323(X0)))),
% 8.48/2.13    inference(rectify,[],[f12582])).
% 8.48/2.13  tff(f12582,plain,(
% 8.48/2.13    ! [X8 : $o] : (($true = X8) <=> ($true = bG323(X8)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG323])])).
% 8.48/2.13  tff(f45194,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = X0) | ($true != bG323(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36406])).
% 8.48/2.13  tff(f61543,plain,(
% 8.48/2.13    ($true = bG324($true))),
% 8.48/2.13    inference(equality_resolution,[],[f45191])).
% 8.48/2.13  tff(f45191,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = bG324(X0)) | ($true != X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36405])).
% 8.48/2.13  tff(f36405,plain,(
% 8.48/2.13    ! [X0 : $o] : ((($true = X0) | ($true != bG324(X0))) & (($true = bG324(X0)) | ($true != X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20737])).
% 8.48/2.13  tff(f20737,plain,(
% 8.48/2.13    ! [X0 : $o] : (($true = X0) <=> ($true = bG324(X0)))),
% 8.48/2.13    inference(rectify,[],[f12583])).
% 8.48/2.13  tff(f12583,plain,(
% 8.48/2.13    ! [X1 : $o] : (($true = X1) <=> ($true = bG324(X1)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG324])])).
% 8.48/2.13  tff(f45192,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = X0) | ($true != bG324(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36405])).
% 8.48/2.13  tff(f61542,plain,(
% 8.48/2.13    ($true = bG325($true))),
% 8.48/2.13    inference(equality_resolution,[],[f45189])).
% 8.48/2.13  tff(f45189,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = bG325(X0)) | ($true != X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36404])).
% 8.48/2.13  tff(f36404,plain,(
% 8.48/2.13    ! [X0 : $o] : ((($true = X0) | ($true != bG325(X0))) & (($true = bG325(X0)) | ($true != X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20736])).
% 8.48/2.13  tff(f20736,plain,(
% 8.48/2.13    ! [X0 : $o] : (($true = X0) <=> ($true = bG325(X0)))),
% 8.48/2.13    inference(rectify,[],[f12584])).
% 8.48/2.13  tff(f12584,plain,(
% 8.48/2.13    ! [X2 : $o] : (($true = X2) <=> ($true = bG325(X2)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG325])])).
% 8.48/2.13  tff(f45190,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = X0) | ($true != bG325(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36404])).
% 8.48/2.13  tff(f61541,plain,(
% 8.48/2.13    ($true = bG326($true))),
% 8.48/2.13    inference(equality_resolution,[],[f45187])).
% 8.48/2.13  tff(f45187,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = bG326(X0)) | ($true != X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36403])).
% 8.48/2.13  tff(f36403,plain,(
% 8.48/2.13    ! [X0 : $o] : ((($true = X0) | ($true != bG326(X0))) & (($true = bG326(X0)) | ($true != X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20735])).
% 8.48/2.13  tff(f20735,plain,(
% 8.48/2.13    ! [X0 : $o] : (($true = X0) <=> ($true = bG326(X0)))),
% 8.48/2.13    inference(rectify,[],[f12585])).
% 8.48/2.13  tff(f12585,plain,(
% 8.48/2.13    ! [X3 : $o] : (($true = X3) <=> ($true = bG326(X3)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG326])])).
% 8.48/2.13  tff(f45188,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = X0) | ($true != bG326(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36403])).
% 8.48/2.13  tff(f61540,plain,(
% 8.48/2.13    ($true = bG327($true))),
% 8.48/2.13    inference(equality_resolution,[],[f45185])).
% 8.48/2.13  tff(f45185,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = bG327(X0)) | ($true != X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36402])).
% 8.48/2.13  tff(f36402,plain,(
% 8.48/2.13    ! [X0 : $o] : ((($true = X0) | ($true != bG327(X0))) & (($true = bG327(X0)) | ($true != X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20734])).
% 8.48/2.13  tff(f20734,plain,(
% 8.48/2.13    ! [X0 : $o] : (($true = X0) <=> ($true = bG327(X0)))),
% 8.48/2.13    inference(rectify,[],[f12586])).
% 8.48/2.13  tff(f12586,plain,(
% 8.48/2.13    ! [X4 : $o] : (($true = X4) <=> ($true = bG327(X4)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG327])])).
% 8.48/2.13  tff(f45186,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = X0) | ($true != bG327(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36402])).
% 8.48/2.13  tff(f61539,plain,(
% 8.48/2.13    ($true = bG328($true))),
% 8.48/2.13    inference(equality_resolution,[],[f45183])).
% 8.48/2.13  tff(f45183,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = bG328(X0)) | ($true != X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36401])).
% 8.48/2.13  tff(f36401,plain,(
% 8.48/2.13    ! [X0 : $o] : ((($true = X0) | ($true != bG328(X0))) & (($true = bG328(X0)) | ($true != X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20733])).
% 8.48/2.13  tff(f20733,plain,(
% 8.48/2.13    ! [X0 : $o] : (($true = X0) <=> ($true = bG328(X0)))),
% 8.48/2.13    inference(rectify,[],[f12587])).
% 8.48/2.13  tff(f12587,plain,(
% 8.48/2.13    ! [X5 : $o] : (($true = X5) <=> ($true = bG328(X5)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG328])])).
% 8.48/2.13  tff(f45184,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = X0) | ($true != bG328(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36401])).
% 8.48/2.13  tff(f61538,plain,(
% 8.48/2.13    ($true = bG329($true))),
% 8.48/2.13    inference(equality_resolution,[],[f45181])).
% 8.48/2.13  tff(f45181,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = bG329(X0)) | ($true != X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36400])).
% 8.48/2.13  tff(f36400,plain,(
% 8.48/2.13    ! [X0 : $o] : ((($true = X0) | ($true != bG329(X0))) & (($true = bG329(X0)) | ($true != X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20732])).
% 8.48/2.13  tff(f20732,plain,(
% 8.48/2.13    ! [X0 : $o] : (($true = X0) <=> ($true = bG329(X0)))),
% 8.48/2.13    inference(rectify,[],[f12588])).
% 8.48/2.13  tff(f12588,plain,(
% 8.48/2.13    ! [X6 : $o] : (($true = X6) <=> ($true = bG329(X6)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG329])])).
% 8.48/2.13  tff(f45182,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = X0) | ($true != bG329(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36400])).
% 8.48/2.13  tff(f61537,plain,(
% 8.48/2.13    ($true = bG330($true))),
% 8.48/2.13    inference(equality_resolution,[],[f45179])).
% 8.48/2.13  tff(f45179,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = bG330(X0)) | ($true != X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36399])).
% 8.48/2.13  tff(f36399,plain,(
% 8.48/2.13    ! [X0 : $o] : ((($true = X0) | ($true != bG330(X0))) & (($true = bG330(X0)) | ($true != X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20731])).
% 8.48/2.13  tff(f20731,plain,(
% 8.48/2.13    ! [X0 : $o] : (($true = X0) <=> ($true = bG330(X0)))),
% 8.48/2.13    inference(rectify,[],[f12589])).
% 8.48/2.13  tff(f12589,plain,(
% 8.48/2.13    ! [X7 : $o] : (($true = X7) <=> ($true = bG330(X7)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG330])])).
% 8.48/2.13  tff(f45180,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = X0) | ($true != bG330(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36399])).
% 8.48/2.13  tff(f61536,plain,(
% 8.48/2.13    ($true = bG331($true))),
% 8.48/2.13    inference(equality_resolution,[],[f45177])).
% 8.48/2.13  tff(f45177,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = bG331(X0)) | ($true != X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36398])).
% 8.48/2.13  tff(f36398,plain,(
% 8.48/2.13    ! [X0 : $o] : ((($true = X0) | ($true != bG331(X0))) & (($true = bG331(X0)) | ($true != X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20730])).
% 8.48/2.13  tff(f20730,plain,(
% 8.48/2.13    ! [X0 : $o] : (($true = X0) <=> ($true = bG331(X0)))),
% 8.48/2.13    inference(rectify,[],[f12590])).
% 8.48/2.13  tff(f12590,plain,(
% 8.48/2.13    ! [X8 : $o] : (($true = X8) <=> ($true = bG331(X8)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG331])])).
% 8.48/2.13  tff(f45178,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = X0) | ($true != bG331(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36398])).
% 8.48/2.13  tff(f45176,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : num,X1 : X0] : (aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),aa(num,nat,numeral_numeral(nat),X2)) = lG332(X0,X1,X2)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f12593])).
% 8.48/2.13  tff(f12593,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : num] : aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),aa(num,nat,numeral_numeral(nat),X2)) = lG332(X0,X1,X2)),
% 8.48/2.13    introduced(fool_let_definition,[new_symbols(definition,[lG332])])).
% 8.48/2.13  tff(f45175,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : num,X1 : X0] : (aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),aa(num,nat,numeral_numeral(nat),X2)) = lG333(X0,X1,X2)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f12596])).
% 8.48/2.13  tff(f12596,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : num] : aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),aa(num,nat,numeral_numeral(nat),X2)) = lG333(X0,X1,X2)),
% 8.48/2.13    introduced(fool_let_definition,[new_symbols(definition,[lG333])])).
% 8.48/2.13  tff(f45173,plain,(
% 8.48/2.13    ( ! [X4 : $tType,X6 : nat,X7 : fun(nat,X4),X5 : nat] : (zero_zero(X4) = iG334(X4,X5,X6,X7) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X5))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26272])).
% 8.48/2.13  tff(f26272,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : fun(nat,X0)] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(set(nat),X0,aa(fun(nat,X0),fun(set(nat),X0),groups7311177749621191930dd_sum(nat,X0),X3),set_or7035219750837199246ssThan(nat,X1,X2))),aa(nat,X0,X3,X2)) = iG334(X0,X1,X2,X3) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1))) & ! [X4 : $tType,X5 : nat,X6 : nat,X7 : fun(nat,X4)] : (zero_zero(X4) = iG334(X4,X5,X6,X7) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X5)))),
% 8.48/2.13    inference(ennf_transformation,[],[f20729])).
% 8.48/2.13  tff(f20729,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : fun(nat,X0)] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1)) => aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(set(nat),X0,aa(fun(nat,X0),fun(set(nat),X0),groups7311177749621191930dd_sum(nat,X0),X3),set_or7035219750837199246ssThan(nat,X1,X2))),aa(nat,X0,X3,X2)) = iG334(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : nat,X6 : nat,X7 : fun(nat,X4)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X5)) => zero_zero(X4) = iG334(X4,X5,X6,X7))),
% 8.48/2.13    inference(flattening,[],[f20728])).
% 8.48/2.13  tff(f20728,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : fun(nat,X0)] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1)) => aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(set(nat),X0,aa(fun(nat,X0),fun(set(nat),X0),groups7311177749621191930dd_sum(nat,X0),X3),set_or7035219750837199246ssThan(nat,X1,X2))),aa(nat,X0,X3,X2)) = iG334(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : nat,X6 : nat,X7 : fun(nat,X4)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X5)) => zero_zero(X4) = iG334(X4,X5,X6,X7))),
% 8.48/2.13    inference(rectify,[],[f12601])).
% 8.48/2.13  tff(f12601,plain,(
% 8.48/2.13    ! [X0 : $tType,X2 : nat,X3 : nat,X1 : fun(nat,X0)] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)) => aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(set(nat),X0,aa(fun(nat,X0),fun(set(nat),X0),groups7311177749621191930dd_sum(nat,X0),X1),set_or7035219750837199246ssThan(nat,X2,X3))),aa(nat,X0,X1,X3)) = iG334(X0,X2,X3,X1)) & ! [X0 : $tType,X2 : nat,X3 : nat,X1 : fun(nat,X0)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)) => zero_zero(X0) = iG334(X0,X2,X3,X1))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG334])])).
% 8.48/2.13  tff(f45174,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : nat,X3 : fun(nat,X0),X1 : nat] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(set(nat),X0,aa(fun(nat,X0),fun(set(nat),X0),groups7311177749621191930dd_sum(nat,X0),X3),set_or7035219750837199246ssThan(nat,X1,X2))),aa(nat,X0,X3,X2)) = iG334(X0,X1,X2,X3) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26272])).
% 8.48/2.13  tff(f45171,plain,(
% 8.48/2.13    ( ! [X4 : $tType,X6 : nat,X7 : fun(nat,X4),X5 : nat] : (zero_zero(X4) = iG335(X4,X5,X6,X7) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X5))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26271])).
% 8.48/2.13  tff(f26271,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : fun(nat,X0)] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(set(nat),X0,aa(fun(nat,X0),fun(set(nat),X0),groups7311177749621191930dd_sum(nat,X0),X3),set_or7035219750837199246ssThan(nat,X1,X2))),aa(nat,X0,X3,X2)) = iG335(X0,X1,X2,X3) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1))) & ! [X4 : $tType,X5 : nat,X6 : nat,X7 : fun(nat,X4)] : (zero_zero(X4) = iG335(X4,X5,X6,X7) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X5)))),
% 8.48/2.13    inference(ennf_transformation,[],[f20727])).
% 8.48/2.13  tff(f20727,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : fun(nat,X0)] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1)) => aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(set(nat),X0,aa(fun(nat,X0),fun(set(nat),X0),groups7311177749621191930dd_sum(nat,X0),X3),set_or7035219750837199246ssThan(nat,X1,X2))),aa(nat,X0,X3,X2)) = iG335(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : nat,X6 : nat,X7 : fun(nat,X4)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X5)) => zero_zero(X4) = iG335(X4,X5,X6,X7))),
% 8.48/2.13    inference(flattening,[],[f20726])).
% 8.48/2.13  tff(f20726,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : fun(nat,X0)] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1)) => aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(set(nat),X0,aa(fun(nat,X0),fun(set(nat),X0),groups7311177749621191930dd_sum(nat,X0),X3),set_or7035219750837199246ssThan(nat,X1,X2))),aa(nat,X0,X3,X2)) = iG335(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : nat,X6 : nat,X7 : fun(nat,X4)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X5)) => zero_zero(X4) = iG335(X4,X5,X6,X7))),
% 8.48/2.13    inference(rectify,[],[f12604])).
% 8.48/2.13  tff(f12604,plain,(
% 8.48/2.13    ! [X0 : $tType,X2 : nat,X3 : nat,X1 : fun(nat,X0)] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)) => aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(set(nat),X0,aa(fun(nat,X0),fun(set(nat),X0),groups7311177749621191930dd_sum(nat,X0),X1),set_or7035219750837199246ssThan(nat,X2,X3))),aa(nat,X0,X1,X3)) = iG335(X0,X2,X3,X1)) & ! [X0 : $tType,X2 : nat,X3 : nat,X1 : fun(nat,X0)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)) => zero_zero(X0) = iG335(X0,X2,X3,X1))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG335])])).
% 8.48/2.13  tff(f45172,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : nat,X3 : fun(nat,X0),X1 : nat] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(set(nat),X0,aa(fun(nat,X0),fun(set(nat),X0),groups7311177749621191930dd_sum(nat,X0),X3),set_or7035219750837199246ssThan(nat,X1,X2))),aa(nat,X0,X3,X2)) = iG335(X0,X1,X2,X3) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26271])).
% 8.48/2.13  tff(f45169,plain,(
% 8.48/2.13    ( ! [X4 : $tType,X6 : nat,X7 : fun(nat,X4),X5 : nat] : (zero_zero(X4) = iG336(X4,X5,X6,X7) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),aa(nat,nat,suc,X6)),X5))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26270])).
% 8.48/2.13  tff(f26270,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : fun(nat,X0)] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(set(nat),X0,aa(fun(nat,X0),fun(set(nat),X0),groups7311177749621191930dd_sum(nat,X0),X3),set_or1337092689740270186AtMost(nat,X1,X2))),aa(nat,X0,X3,aa(nat,nat,suc,X2))) = iG336(X0,X1,X2,X3) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),aa(nat,nat,suc,X2)),X1))) & ! [X4 : $tType,X5 : nat,X6 : nat,X7 : fun(nat,X4)] : (zero_zero(X4) = iG336(X4,X5,X6,X7) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),aa(nat,nat,suc,X6)),X5)))),
% 8.48/2.13    inference(ennf_transformation,[],[f20725])).
% 8.48/2.13  tff(f20725,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : fun(nat,X0)] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),aa(nat,nat,suc,X2)),X1)) => aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(set(nat),X0,aa(fun(nat,X0),fun(set(nat),X0),groups7311177749621191930dd_sum(nat,X0),X3),set_or1337092689740270186AtMost(nat,X1,X2))),aa(nat,X0,X3,aa(nat,nat,suc,X2))) = iG336(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : nat,X6 : nat,X7 : fun(nat,X4)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),aa(nat,nat,suc,X6)),X5)) => zero_zero(X4) = iG336(X4,X5,X6,X7))),
% 8.48/2.13    inference(flattening,[],[f20724])).
% 8.48/2.13  tff(f20724,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : fun(nat,X0)] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),aa(nat,nat,suc,X2)),X1)) => aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(set(nat),X0,aa(fun(nat,X0),fun(set(nat),X0),groups7311177749621191930dd_sum(nat,X0),X3),set_or1337092689740270186AtMost(nat,X1,X2))),aa(nat,X0,X3,aa(nat,nat,suc,X2))) = iG336(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : nat,X6 : nat,X7 : fun(nat,X4)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),aa(nat,nat,suc,X6)),X5)) => zero_zero(X4) = iG336(X4,X5,X6,X7))),
% 8.48/2.13    inference(rectify,[],[f12607])).
% 8.48/2.13  tff(f12607,plain,(
% 8.48/2.13    ! [X0 : $tType,X2 : nat,X3 : nat,X1 : fun(nat,X0)] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),aa(nat,nat,suc,X3)),X2)) => aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(set(nat),X0,aa(fun(nat,X0),fun(set(nat),X0),groups7311177749621191930dd_sum(nat,X0),X1),set_or1337092689740270186AtMost(nat,X2,X3))),aa(nat,X0,X1,aa(nat,nat,suc,X3))) = iG336(X0,X2,X3,X1)) & ! [X0 : $tType,X2 : nat,X3 : nat,X1 : fun(nat,X0)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),aa(nat,nat,suc,X3)),X2)) => zero_zero(X0) = iG336(X0,X2,X3,X1))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG336])])).
% 8.48/2.13  tff(f45170,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : nat,X3 : fun(nat,X0),X1 : nat] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(set(nat),X0,aa(fun(nat,X0),fun(set(nat),X0),groups7311177749621191930dd_sum(nat,X0),X3),set_or1337092689740270186AtMost(nat,X1,X2))),aa(nat,X0,X3,aa(nat,nat,suc,X2))) = iG336(X0,X1,X2,X3) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),aa(nat,nat,suc,X2)),X1))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26270])).
% 8.48/2.13  tff(f61535,plain,(
% 8.48/2.13    ( ! [X4 : $tType,X6 : nat,X7 : fun(nat,X4)] : (zero_zero(X4) = iG337(X4,X6,X6,X7)) )),
% 8.48/2.13    inference(equality_resolution,[],[f45167])).
% 8.48/2.13  tff(f45167,plain,(
% 8.48/2.13    ( ! [X4 : $tType,X6 : nat,X7 : fun(nat,X4),X5 : nat] : (zero_zero(X4) = iG337(X4,X5,X6,X7) | X5 != X6) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26269])).
% 8.48/2.13  tff(f26269,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : fun(nat,X0)] : (aa(nat,X0,X3,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),aa(nat,nat,suc,zero_zero(nat)))) = iG337(X0,X1,X2,X3) | X1 = X2) & ! [X4 : $tType,X5 : nat,X6 : nat,X7 : fun(nat,X4)] : (zero_zero(X4) = iG337(X4,X5,X6,X7) | X5 != X6)),
% 8.48/2.13    inference(ennf_transformation,[],[f20723])).
% 8.48/2.13  tff(f20723,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : fun(nat,X0)] : (X1 != X2 => aa(nat,X0,X3,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),aa(nat,nat,suc,zero_zero(nat)))) = iG337(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : nat,X6 : nat,X7 : fun(nat,X4)] : (X5 = X6 => zero_zero(X4) = iG337(X4,X5,X6,X7))),
% 8.48/2.13    inference(flattening,[],[f20722])).
% 8.48/2.13  tff(f20722,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : fun(nat,X0)] : (~X1 = X2 => aa(nat,X0,X3,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),aa(nat,nat,suc,zero_zero(nat)))) = iG337(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : nat,X6 : nat,X7 : fun(nat,X4)] : (X5 = X6 => zero_zero(X4) = iG337(X4,X5,X6,X7))),
% 8.48/2.13    inference(rectify,[],[f12626])).
% 8.48/2.13  tff(f12626,plain,(
% 8.48/2.13    ! [X0 : $tType,X4 : nat,X1 : nat,X3 : fun(nat,X0)] : (~X1 = X4 => aa(nat,X0,X3,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X4),aa(nat,nat,suc,zero_zero(nat)))) = iG337(X0,X4,X1,X3)) & ! [X0 : $tType,X4 : nat,X1 : nat,X3 : fun(nat,X0)] : (X1 = X4 => zero_zero(X0) = iG337(X0,X4,X1,X3))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG337])])).
% 8.48/2.13  tff(f45168,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : nat,X3 : fun(nat,X0),X1 : nat] : (aa(nat,X0,X3,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),aa(nat,nat,suc,zero_zero(nat)))) = iG337(X0,X1,X2,X3) | X1 = X2) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26269])).
% 8.48/2.13  tff(f45165,plain,(
% 8.48/2.13    ( ! [X5 : $tType,X8 : fun(nat,X5),X6 : nat,X9 : fun(nat,X5),X7 : nat] : (aa(nat,X5,X9,X7) = iG338(X5,X6,X7,X8,X9) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X7),X6))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26268])).
% 8.48/2.13  tff(f26268,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : fun(nat,X0),X4 : fun(nat,X0)] : (iG337(X0,X2,X1,X3) = iG338(X0,X1,X2,X3,X4) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1))) & ! [X5 : $tType,X6 : nat,X7 : nat,X8 : fun(nat,X5),X9 : fun(nat,X5)] : (aa(nat,X5,X9,X7) = iG338(X5,X6,X7,X8,X9) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X7),X6)))),
% 8.48/2.13    inference(ennf_transformation,[],[f20721])).
% 8.48/2.13  tff(f20721,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : fun(nat,X0),X4 : fun(nat,X0)] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1)) => iG337(X0,X2,X1,X3) = iG338(X0,X1,X2,X3,X4)) & ! [X5 : $tType,X6 : nat,X7 : nat,X8 : fun(nat,X5),X9 : fun(nat,X5)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X7),X6)) => aa(nat,X5,X9,X7) = iG338(X5,X6,X7,X8,X9))),
% 8.48/2.13    inference(flattening,[],[f20720])).
% 8.48/2.13  tff(f20720,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : fun(nat,X0),X4 : fun(nat,X0)] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1)) => iG337(X0,X2,X1,X3) = iG338(X0,X1,X2,X3,X4)) & ! [X5 : $tType,X6 : nat,X7 : nat,X8 : fun(nat,X5),X9 : fun(nat,X5)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X7),X6)) => aa(nat,X5,X9,X7) = iG338(X5,X6,X7,X8,X9))),
% 8.48/2.13    inference(rectify,[],[f12627])).
% 8.48/2.13  tff(f12627,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X4 : nat,X3 : fun(nat,X0),X2 : fun(nat,X0)] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X4),X1)) => iG337(X0,X4,X1,X3) = iG338(X0,X1,X4,X3,X2)) & ! [X0 : $tType,X1 : nat,X4 : nat,X3 : fun(nat,X0),X2 : fun(nat,X0)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X4),X1)) => aa(nat,X0,X2,X4) = iG338(X0,X1,X4,X3,X2))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG338])])).
% 8.48/2.13  tff(f45166,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : nat,X3 : fun(nat,X0),X1 : nat,X4 : fun(nat,X0)] : (iG337(X0,X2,X1,X3) = iG338(X0,X1,X2,X3,X4) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26268])).
% 8.48/2.13  tff(f45163,plain,(
% 8.48/2.13    ( ! [X5 : $tType,X8 : fun(nat,X5),X6 : nat,X9 : fun(nat,X5),X7 : nat] : (aa(nat,X5,X9,X7) = iG339(X5,X6,X7,X8,X9) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X7),X6))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26267])).
% 8.48/2.13  tff(f26267,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : fun(nat,X0),X4 : fun(nat,X0)] : (aa(nat,X0,X3,X2) = iG339(X0,X1,X2,X3,X4) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1))) & ! [X5 : $tType,X6 : nat,X7 : nat,X8 : fun(nat,X5),X9 : fun(nat,X5)] : (aa(nat,X5,X9,X7) = iG339(X5,X6,X7,X8,X9) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X7),X6)))),
% 8.48/2.13    inference(ennf_transformation,[],[f20719])).
% 8.48/2.13  tff(f20719,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : fun(nat,X0),X4 : fun(nat,X0)] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1)) => aa(nat,X0,X3,X2) = iG339(X0,X1,X2,X3,X4)) & ! [X5 : $tType,X6 : nat,X7 : nat,X8 : fun(nat,X5),X9 : fun(nat,X5)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X7),X6)) => aa(nat,X5,X9,X7) = iG339(X5,X6,X7,X8,X9))),
% 8.48/2.13    inference(flattening,[],[f20718])).
% 8.48/2.13  tff(f20718,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : fun(nat,X0),X4 : fun(nat,X0)] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1)) => aa(nat,X0,X3,X2) = iG339(X0,X1,X2,X3,X4)) & ! [X5 : $tType,X6 : nat,X7 : nat,X8 : fun(nat,X5),X9 : fun(nat,X5)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X7),X6)) => aa(nat,X5,X9,X7) = iG339(X5,X6,X7,X8,X9))),
% 8.48/2.13    inference(rectify,[],[f12630])).
% 8.48/2.13  tff(f12630,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X4 : nat,X3 : fun(nat,X0),X2 : fun(nat,X0)] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X4),X1)) => aa(nat,X0,X3,X4) = iG339(X0,X1,X4,X3,X2)) & ! [X0 : $tType,X1 : nat,X4 : nat,X3 : fun(nat,X0),X2 : fun(nat,X0)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X4),X1)) => aa(nat,X0,X2,X4) = iG339(X0,X1,X4,X3,X2))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG339])])).
% 8.48/2.13  tff(f45164,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : nat,X3 : fun(nat,X0),X1 : nat,X4 : fun(nat,X0)] : (aa(nat,X0,X3,X2) = iG339(X0,X1,X2,X3,X4) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26267])).
% 8.48/2.13  tff(f45161,plain,(
% 8.48/2.13    ( ! [X4 : $tType,X6 : nat,X7 : fun(nat,X4),X5 : nat] : (one_one(X4) = iG340(X4,X5,X6,X7) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X5))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26266])).
% 8.48/2.13  tff(f26266,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : fun(nat,X0)] : (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(set(nat),X0,aa(fun(nat,X0),fun(set(nat),X0),groups7121269368397514597t_prod(nat,X0),X3),set_or7035219750837199246ssThan(nat,X1,X2))),aa(nat,X0,X3,X2)) = iG340(X0,X1,X2,X3) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1))) & ! [X4 : $tType,X5 : nat,X6 : nat,X7 : fun(nat,X4)] : (one_one(X4) = iG340(X4,X5,X6,X7) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X5)))),
% 8.48/2.13    inference(ennf_transformation,[],[f20717])).
% 8.48/2.13  tff(f20717,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : fun(nat,X0)] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1)) => aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(set(nat),X0,aa(fun(nat,X0),fun(set(nat),X0),groups7121269368397514597t_prod(nat,X0),X3),set_or7035219750837199246ssThan(nat,X1,X2))),aa(nat,X0,X3,X2)) = iG340(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : nat,X6 : nat,X7 : fun(nat,X4)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X5)) => one_one(X4) = iG340(X4,X5,X6,X7))),
% 8.48/2.13    inference(flattening,[],[f20716])).
% 8.48/2.13  tff(f20716,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : fun(nat,X0)] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1)) => aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(set(nat),X0,aa(fun(nat,X0),fun(set(nat),X0),groups7121269368397514597t_prod(nat,X0),X3),set_or7035219750837199246ssThan(nat,X1,X2))),aa(nat,X0,X3,X2)) = iG340(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : nat,X6 : nat,X7 : fun(nat,X4)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X5)) => one_one(X4) = iG340(X4,X5,X6,X7))),
% 8.48/2.13    inference(rectify,[],[f12643])).
% 8.48/2.13  tff(f12643,plain,(
% 8.48/2.13    ! [X0 : $tType,X2 : nat,X3 : nat,X1 : fun(nat,X0)] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)) => aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(set(nat),X0,aa(fun(nat,X0),fun(set(nat),X0),groups7121269368397514597t_prod(nat,X0),X1),set_or7035219750837199246ssThan(nat,X2,X3))),aa(nat,X0,X1,X3)) = iG340(X0,X2,X3,X1)) & ! [X0 : $tType,X2 : nat,X3 : nat,X1 : fun(nat,X0)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)) => one_one(X0) = iG340(X0,X2,X3,X1))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG340])])).
% 8.48/2.13  tff(f45162,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : nat,X3 : fun(nat,X0),X1 : nat] : (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(set(nat),X0,aa(fun(nat,X0),fun(set(nat),X0),groups7121269368397514597t_prod(nat,X0),X3),set_or7035219750837199246ssThan(nat,X1,X2))),aa(nat,X0,X3,X2)) = iG340(X0,X1,X2,X3) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26266])).
% 8.48/2.13  tff(f45159,plain,(
% 8.48/2.13    ( ! [X4 : $tType,X6 : nat,X7 : fun(nat,X4),X5 : nat] : (one_one(X4) = iG341(X4,X5,X6,X7) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X5))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26265])).
% 8.48/2.13  tff(f26265,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : fun(nat,X0)] : (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(set(nat),X0,aa(fun(nat,X0),fun(set(nat),X0),groups7121269368397514597t_prod(nat,X0),X3),set_or7035219750837199246ssThan(nat,X1,X2))),aa(nat,X0,X3,X2)) = iG341(X0,X1,X2,X3) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1))) & ! [X4 : $tType,X5 : nat,X6 : nat,X7 : fun(nat,X4)] : (one_one(X4) = iG341(X4,X5,X6,X7) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X5)))),
% 8.48/2.13    inference(ennf_transformation,[],[f20715])).
% 8.48/2.13  tff(f20715,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : fun(nat,X0)] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1)) => aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(set(nat),X0,aa(fun(nat,X0),fun(set(nat),X0),groups7121269368397514597t_prod(nat,X0),X3),set_or7035219750837199246ssThan(nat,X1,X2))),aa(nat,X0,X3,X2)) = iG341(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : nat,X6 : nat,X7 : fun(nat,X4)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X5)) => one_one(X4) = iG341(X4,X5,X6,X7))),
% 8.48/2.13    inference(flattening,[],[f20714])).
% 8.48/2.13  tff(f20714,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : fun(nat,X0)] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1)) => aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(set(nat),X0,aa(fun(nat,X0),fun(set(nat),X0),groups7121269368397514597t_prod(nat,X0),X3),set_or7035219750837199246ssThan(nat,X1,X2))),aa(nat,X0,X3,X2)) = iG341(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : nat,X6 : nat,X7 : fun(nat,X4)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X5)) => one_one(X4) = iG341(X4,X5,X6,X7))),
% 8.48/2.13    inference(rectify,[],[f12646])).
% 8.48/2.13  tff(f12646,plain,(
% 8.48/2.13    ! [X0 : $tType,X2 : nat,X3 : nat,X1 : fun(nat,X0)] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)) => aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(set(nat),X0,aa(fun(nat,X0),fun(set(nat),X0),groups7121269368397514597t_prod(nat,X0),X1),set_or7035219750837199246ssThan(nat,X2,X3))),aa(nat,X0,X1,X3)) = iG341(X0,X2,X3,X1)) & ! [X0 : $tType,X2 : nat,X3 : nat,X1 : fun(nat,X0)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)) => one_one(X0) = iG341(X0,X2,X3,X1))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG341])])).
% 8.48/2.13  tff(f45160,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : nat,X3 : fun(nat,X0),X1 : nat] : (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(set(nat),X0,aa(fun(nat,X0),fun(set(nat),X0),groups7121269368397514597t_prod(nat,X0),X3),set_or7035219750837199246ssThan(nat,X1,X2))),aa(nat,X0,X3,X2)) = iG341(X0,X1,X2,X3) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26265])).
% 8.48/2.13  tff(f45157,plain,(
% 8.48/2.13    ( ! [X4 : $tType,X6 : nat,X7 : fun(nat,X4),X5 : nat] : (one_one(X4) = iG342(X4,X5,X6,X7) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),aa(nat,nat,suc,X6)),X5))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26264])).
% 8.48/2.13  tff(f26264,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : fun(nat,X0)] : (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(set(nat),X0,aa(fun(nat,X0),fun(set(nat),X0),groups7121269368397514597t_prod(nat,X0),X3),set_or1337092689740270186AtMost(nat,X1,X2))),aa(nat,X0,X3,aa(nat,nat,suc,X2))) = iG342(X0,X1,X2,X3) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),aa(nat,nat,suc,X2)),X1))) & ! [X4 : $tType,X5 : nat,X6 : nat,X7 : fun(nat,X4)] : (one_one(X4) = iG342(X4,X5,X6,X7) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),aa(nat,nat,suc,X6)),X5)))),
% 8.48/2.13    inference(ennf_transformation,[],[f20713])).
% 8.48/2.13  tff(f20713,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : fun(nat,X0)] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),aa(nat,nat,suc,X2)),X1)) => aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(set(nat),X0,aa(fun(nat,X0),fun(set(nat),X0),groups7121269368397514597t_prod(nat,X0),X3),set_or1337092689740270186AtMost(nat,X1,X2))),aa(nat,X0,X3,aa(nat,nat,suc,X2))) = iG342(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : nat,X6 : nat,X7 : fun(nat,X4)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),aa(nat,nat,suc,X6)),X5)) => one_one(X4) = iG342(X4,X5,X6,X7))),
% 8.48/2.13    inference(flattening,[],[f20712])).
% 8.48/2.13  tff(f20712,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : fun(nat,X0)] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),aa(nat,nat,suc,X2)),X1)) => aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(set(nat),X0,aa(fun(nat,X0),fun(set(nat),X0),groups7121269368397514597t_prod(nat,X0),X3),set_or1337092689740270186AtMost(nat,X1,X2))),aa(nat,X0,X3,aa(nat,nat,suc,X2))) = iG342(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : nat,X6 : nat,X7 : fun(nat,X4)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),aa(nat,nat,suc,X6)),X5)) => one_one(X4) = iG342(X4,X5,X6,X7))),
% 8.48/2.13    inference(rectify,[],[f12649])).
% 8.48/2.13  tff(f12649,plain,(
% 8.48/2.13    ! [X0 : $tType,X2 : nat,X3 : nat,X1 : fun(nat,X0)] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),aa(nat,nat,suc,X3)),X2)) => aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(set(nat),X0,aa(fun(nat,X0),fun(set(nat),X0),groups7121269368397514597t_prod(nat,X0),X1),set_or1337092689740270186AtMost(nat,X2,X3))),aa(nat,X0,X1,aa(nat,nat,suc,X3))) = iG342(X0,X2,X3,X1)) & ! [X0 : $tType,X2 : nat,X3 : nat,X1 : fun(nat,X0)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),aa(nat,nat,suc,X3)),X2)) => one_one(X0) = iG342(X0,X2,X3,X1))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG342])])).
% 8.48/2.13  tff(f45158,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : nat,X3 : fun(nat,X0),X1 : nat] : (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(set(nat),X0,aa(fun(nat,X0),fun(set(nat),X0),groups7121269368397514597t_prod(nat,X0),X3),set_or1337092689740270186AtMost(nat,X1,X2))),aa(nat,X0,X3,aa(nat,nat,suc,X2))) = iG342(X0,X1,X2,X3) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),aa(nat,nat,suc,X2)),X1))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26264])).
% 8.48/2.13  tff(f61534,plain,(
% 8.48/2.13    ( ! [X4 : $tType,X6 : nat,X7 : fun(nat,X4)] : (one_one(X4) = iG343(X4,X6,X6,X7)) )),
% 8.48/2.13    inference(equality_resolution,[],[f45155])).
% 8.48/2.13  tff(f45155,plain,(
% 8.48/2.13    ( ! [X4 : $tType,X6 : nat,X7 : fun(nat,X4),X5 : nat] : (one_one(X4) = iG343(X4,X5,X6,X7) | X5 != X6) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26263])).
% 8.48/2.13  tff(f26263,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : fun(nat,X0)] : (aa(nat,X0,X3,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),aa(nat,nat,suc,zero_zero(nat)))) = iG343(X0,X1,X2,X3) | X1 = X2) & ! [X4 : $tType,X5 : nat,X6 : nat,X7 : fun(nat,X4)] : (one_one(X4) = iG343(X4,X5,X6,X7) | X5 != X6)),
% 8.48/2.13    inference(ennf_transformation,[],[f20711])).
% 8.48/2.13  tff(f20711,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : fun(nat,X0)] : (X1 != X2 => aa(nat,X0,X3,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),aa(nat,nat,suc,zero_zero(nat)))) = iG343(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : nat,X6 : nat,X7 : fun(nat,X4)] : (X5 = X6 => one_one(X4) = iG343(X4,X5,X6,X7))),
% 8.48/2.13    inference(flattening,[],[f20710])).
% 8.48/2.13  tff(f20710,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : fun(nat,X0)] : (~X1 = X2 => aa(nat,X0,X3,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),aa(nat,nat,suc,zero_zero(nat)))) = iG343(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : nat,X6 : nat,X7 : fun(nat,X4)] : (X5 = X6 => one_one(X4) = iG343(X4,X5,X6,X7))),
% 8.48/2.13    inference(rectify,[],[f12668])).
% 8.48/2.13  tff(f12668,plain,(
% 8.48/2.13    ! [X0 : $tType,X4 : nat,X1 : nat,X3 : fun(nat,X0)] : (~X1 = X4 => aa(nat,X0,X3,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X4),aa(nat,nat,suc,zero_zero(nat)))) = iG343(X0,X4,X1,X3)) & ! [X0 : $tType,X4 : nat,X1 : nat,X3 : fun(nat,X0)] : (X1 = X4 => one_one(X0) = iG343(X0,X4,X1,X3))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG343])])).
% 8.48/2.13  tff(f45156,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : nat,X3 : fun(nat,X0),X1 : nat] : (aa(nat,X0,X3,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),aa(nat,nat,suc,zero_zero(nat)))) = iG343(X0,X1,X2,X3) | X1 = X2) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26263])).
% 8.48/2.13  tff(f45153,plain,(
% 8.48/2.13    ( ! [X5 : $tType,X8 : fun(nat,X5),X6 : nat,X9 : fun(nat,X5),X7 : nat] : (aa(nat,X5,X9,X7) = iG344(X5,X6,X7,X8,X9) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X7),X6))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26262])).
% 8.48/2.13  tff(f26262,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : fun(nat,X0),X4 : fun(nat,X0)] : (iG343(X0,X2,X1,X3) = iG344(X0,X1,X2,X3,X4) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1))) & ! [X5 : $tType,X6 : nat,X7 : nat,X8 : fun(nat,X5),X9 : fun(nat,X5)] : (aa(nat,X5,X9,X7) = iG344(X5,X6,X7,X8,X9) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X7),X6)))),
% 8.48/2.13    inference(ennf_transformation,[],[f20709])).
% 8.48/2.13  tff(f20709,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : fun(nat,X0),X4 : fun(nat,X0)] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1)) => iG343(X0,X2,X1,X3) = iG344(X0,X1,X2,X3,X4)) & ! [X5 : $tType,X6 : nat,X7 : nat,X8 : fun(nat,X5),X9 : fun(nat,X5)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X7),X6)) => aa(nat,X5,X9,X7) = iG344(X5,X6,X7,X8,X9))),
% 8.48/2.13    inference(flattening,[],[f20708])).
% 8.48/2.13  tff(f20708,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : fun(nat,X0),X4 : fun(nat,X0)] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1)) => iG343(X0,X2,X1,X3) = iG344(X0,X1,X2,X3,X4)) & ! [X5 : $tType,X6 : nat,X7 : nat,X8 : fun(nat,X5),X9 : fun(nat,X5)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X7),X6)) => aa(nat,X5,X9,X7) = iG344(X5,X6,X7,X8,X9))),
% 8.48/2.13    inference(rectify,[],[f12669])).
% 8.48/2.13  tff(f12669,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X4 : nat,X3 : fun(nat,X0),X2 : fun(nat,X0)] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X4),X1)) => iG343(X0,X4,X1,X3) = iG344(X0,X1,X4,X3,X2)) & ! [X0 : $tType,X1 : nat,X4 : nat,X3 : fun(nat,X0),X2 : fun(nat,X0)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X4),X1)) => aa(nat,X0,X2,X4) = iG344(X0,X1,X4,X3,X2))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG344])])).
% 8.48/2.13  tff(f45154,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : nat,X3 : fun(nat,X0),X1 : nat,X4 : fun(nat,X0)] : (iG343(X0,X2,X1,X3) = iG344(X0,X1,X2,X3,X4) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26262])).
% 8.48/2.13  tff(f45151,plain,(
% 8.48/2.13    ( ! [X5 : $tType,X8 : fun(nat,X5),X6 : nat,X9 : fun(nat,X5),X7 : nat] : (aa(nat,X5,X9,X7) = iG345(X5,X6,X7,X8,X9) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X7),X6))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26261])).
% 8.48/2.13  tff(f26261,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : fun(nat,X0),X4 : fun(nat,X0)] : (aa(nat,X0,X3,X2) = iG345(X0,X1,X2,X3,X4) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1))) & ! [X5 : $tType,X6 : nat,X7 : nat,X8 : fun(nat,X5),X9 : fun(nat,X5)] : (aa(nat,X5,X9,X7) = iG345(X5,X6,X7,X8,X9) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X7),X6)))),
% 8.48/2.13    inference(ennf_transformation,[],[f20707])).
% 8.48/2.13  tff(f20707,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : fun(nat,X0),X4 : fun(nat,X0)] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1)) => aa(nat,X0,X3,X2) = iG345(X0,X1,X2,X3,X4)) & ! [X5 : $tType,X6 : nat,X7 : nat,X8 : fun(nat,X5),X9 : fun(nat,X5)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X7),X6)) => aa(nat,X5,X9,X7) = iG345(X5,X6,X7,X8,X9))),
% 8.48/2.13    inference(flattening,[],[f20706])).
% 8.48/2.13  tff(f20706,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : fun(nat,X0),X4 : fun(nat,X0)] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1)) => aa(nat,X0,X3,X2) = iG345(X0,X1,X2,X3,X4)) & ! [X5 : $tType,X6 : nat,X7 : nat,X8 : fun(nat,X5),X9 : fun(nat,X5)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X7),X6)) => aa(nat,X5,X9,X7) = iG345(X5,X6,X7,X8,X9))),
% 8.48/2.13    inference(rectify,[],[f12672])).
% 8.48/2.13  tff(f12672,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X4 : nat,X3 : fun(nat,X0),X2 : fun(nat,X0)] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X4),X1)) => aa(nat,X0,X3,X4) = iG345(X0,X1,X4,X3,X2)) & ! [X0 : $tType,X1 : nat,X4 : nat,X3 : fun(nat,X0),X2 : fun(nat,X0)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X4),X1)) => aa(nat,X0,X2,X4) = iG345(X0,X1,X4,X3,X2))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG345])])).
% 8.48/2.13  tff(f45152,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : nat,X3 : fun(nat,X0),X1 : nat,X4 : fun(nat,X0)] : (aa(nat,X0,X3,X2) = iG345(X0,X1,X2,X3,X4) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26261])).
% 8.48/2.13  tff(f61533,plain,(
% 8.48/2.13    ( ! [X2 : $tType] : (zero_zero(X2) = iG346(X2,zero_zero(nat))) )),
% 8.48/2.13    inference(equality_resolution,[],[f45149])).
% 8.48/2.13  tff(f45149,plain,(
% 8.48/2.13    ( ! [X2 : $tType,X3 : nat] : (zero_zero(X2) = iG346(X2,X3) | zero_zero(nat) != X3) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26260])).
% 8.48/2.13  tff(f26260,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat] : (aa(product_prod(nat,nat),X0,aa(fun(nat,fun(nat,X0)),fun(product_prod(nat,nat),X0),product_case_prod(nat,nat,X0),aTP_Lamp_cr(nat,fun(nat,X0))),divmod_nat(X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = iG346(X0,X1) | zero_zero(nat) = X1) & ! [X2 : $tType,X3 : nat] : (zero_zero(X2) = iG346(X2,X3) | zero_zero(nat) != X3)),
% 8.48/2.13    inference(ennf_transformation,[],[f20705])).
% 8.48/2.13  tff(f20705,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat] : (zero_zero(nat) != X1 => aa(product_prod(nat,nat),X0,aa(fun(nat,fun(nat,X0)),fun(product_prod(nat,nat),X0),product_case_prod(nat,nat,X0),aTP_Lamp_cr(nat,fun(nat,X0))),divmod_nat(X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = iG346(X0,X1)) & ! [X2 : $tType,X3 : nat] : (zero_zero(nat) = X3 => zero_zero(X2) = iG346(X2,X3))),
% 8.48/2.13    inference(flattening,[],[f20704])).
% 8.48/2.13  tff(f20704,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat] : (~zero_zero(nat) = X1 => aa(product_prod(nat,nat),X0,aa(fun(nat,fun(nat,X0)),fun(product_prod(nat,nat),X0),product_case_prod(nat,nat,X0),aTP_Lamp_cr(nat,fun(nat,X0))),divmod_nat(X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = iG346(X0,X1)) & ! [X2 : $tType,X3 : nat] : (zero_zero(nat) = X3 => zero_zero(X2) = iG346(X2,X3))),
% 8.48/2.13    inference(rectify,[],[f12681])).
% 8.48/2.13  tff(f12681,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat] : (~zero_zero(nat) = X1 => aa(product_prod(nat,nat),X0,aa(fun(nat,fun(nat,X0)),fun(product_prod(nat,nat),X0),product_case_prod(nat,nat,X0),aTP_Lamp_cr(nat,fun(nat,X0))),divmod_nat(X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = iG346(X0,X1)) & ! [X0 : $tType,X1 : nat] : (zero_zero(nat) = X1 => zero_zero(X0) = iG346(X0,X1))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG346])])).
% 8.48/2.13  tff(f45150,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X1 : nat] : (aa(product_prod(nat,nat),X0,aa(fun(nat,fun(nat,X0)),fun(product_prod(nat,nat),X0),product_case_prod(nat,nat,X0),aTP_Lamp_cr(nat,fun(nat,X0))),divmod_nat(X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = iG346(X0,X1) | zero_zero(nat) = X1) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26260])).
% 8.48/2.13  tff(f61532,plain,(
% 8.48/2.13    ( ! [X2 : $tType] : (one_one(X2) = iG347(X2,zero_zero(nat))) )),
% 8.48/2.13    inference(equality_resolution,[],[f45147])).
% 8.48/2.13  tff(f45147,plain,(
% 8.48/2.13    ( ! [X2 : $tType,X3 : nat] : (one_one(X2) = iG347(X2,X3) | zero_zero(nat) != X3) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26259])).
% 8.48/2.13  tff(f26259,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat] : (aa(nat,X0,semiring_1_of_nat(X0),X1) = iG347(X0,X1) | zero_zero(nat) = X1) & ! [X2 : $tType,X3 : nat] : (one_one(X2) = iG347(X2,X3) | zero_zero(nat) != X3)),
% 8.48/2.13    inference(ennf_transformation,[],[f20703])).
% 8.48/2.13  tff(f20703,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat] : (zero_zero(nat) != X1 => aa(nat,X0,semiring_1_of_nat(X0),X1) = iG347(X0,X1)) & ! [X2 : $tType,X3 : nat] : (zero_zero(nat) = X3 => one_one(X2) = iG347(X2,X3))),
% 8.48/2.13    inference(flattening,[],[f20702])).
% 8.48/2.13  tff(f20702,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat] : (~zero_zero(nat) = X1 => aa(nat,X0,semiring_1_of_nat(X0),X1) = iG347(X0,X1)) & ! [X2 : $tType,X3 : nat] : (zero_zero(nat) = X3 => one_one(X2) = iG347(X2,X3))),
% 8.48/2.13    inference(rectify,[],[f12684])).
% 8.48/2.13  tff(f12684,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat] : (~zero_zero(nat) = X1 => aa(nat,X0,semiring_1_of_nat(X0),X1) = iG347(X0,X1)) & ! [X0 : $tType,X1 : nat] : (zero_zero(nat) = X1 => one_one(X0) = iG347(X0,X1))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG347])])).
% 8.48/2.13  tff(f45148,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X1 : nat] : (aa(nat,X0,semiring_1_of_nat(X0),X1) = iG347(X0,X1) | zero_zero(nat) = X1) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26259])).
% 8.48/2.13  tff(f61531,plain,(
% 8.48/2.13    ( ! [X2 : $tType] : (one_one(X2) = iG348(X2,zero_zero(nat))) )),
% 8.48/2.13    inference(equality_resolution,[],[f45145])).
% 8.48/2.13  tff(f45145,plain,(
% 8.48/2.13    ( ! [X2 : $tType,X3 : nat] : (one_one(X2) = iG348(X2,X3) | zero_zero(nat) != X3) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26258])).
% 8.48/2.13  tff(f26258,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat] : (zero_zero(X0) = iG348(X0,X1) | zero_zero(nat) = X1) & ! [X2 : $tType,X3 : nat] : (one_one(X2) = iG348(X2,X3) | zero_zero(nat) != X3)),
% 8.48/2.13    inference(ennf_transformation,[],[f20701])).
% 8.48/2.13  tff(f20701,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat] : (zero_zero(nat) != X1 => zero_zero(X0) = iG348(X0,X1)) & ! [X2 : $tType,X3 : nat] : (zero_zero(nat) = X3 => one_one(X2) = iG348(X2,X3))),
% 8.48/2.13    inference(flattening,[],[f20700])).
% 8.48/2.13  tff(f20700,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat] : (~zero_zero(nat) = X1 => zero_zero(X0) = iG348(X0,X1)) & ! [X2 : $tType,X3 : nat] : (zero_zero(nat) = X3 => one_one(X2) = iG348(X2,X3))),
% 8.48/2.13    inference(rectify,[],[f12687])).
% 8.48/2.13  tff(f12687,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat] : (~zero_zero(nat) = X1 => zero_zero(X0) = iG348(X0,X1)) & ! [X0 : $tType,X1 : nat] : (zero_zero(nat) = X1 => one_one(X0) = iG348(X0,X1))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG348])])).
% 8.48/2.13  tff(f45146,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X1 : nat] : (zero_zero(X0) = iG348(X0,X1) | zero_zero(nat) = X1) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26258])).
% 8.48/2.13  tff(f61530,plain,(
% 8.48/2.13    ($true = bG349($true))),
% 8.48/2.13    inference(equality_resolution,[],[f45143])).
% 8.48/2.13  tff(f45143,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = bG349(X0)) | ($true != X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36397])).
% 8.48/2.13  tff(f36397,plain,(
% 8.48/2.13    ! [X0 : $o] : ((($true = X0) | ($true != bG349(X0))) & (($true = bG349(X0)) | ($true != X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20699])).
% 8.48/2.13  tff(f20699,plain,(
% 8.48/2.13    ! [X0 : $o] : (($true = X0) <=> ($true = bG349(X0)))),
% 8.48/2.13    inference(rectify,[],[f12690])).
% 8.48/2.13  tff(f12690,plain,(
% 8.48/2.13    ! [X1 : $o] : (($true = X1) <=> ($true = bG349(X1)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG349])])).
% 8.48/2.13  tff(f45144,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = X0) | ($true != bG349(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36397])).
% 8.48/2.13  tff(f61529,plain,(
% 8.48/2.13    ($true = bG350($true))),
% 8.48/2.13    inference(equality_resolution,[],[f45141])).
% 8.48/2.13  tff(f45141,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = bG350(X0)) | ($true != X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36396])).
% 8.48/2.13  tff(f36396,plain,(
% 8.48/2.13    ! [X0 : $o] : ((($true = X0) | ($true != bG350(X0))) & (($true = bG350(X0)) | ($true != X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20698])).
% 8.48/2.13  tff(f20698,plain,(
% 8.48/2.13    ! [X0 : $o] : (($true = X0) <=> ($true = bG350(X0)))),
% 8.48/2.13    inference(rectify,[],[f12691])).
% 8.48/2.13  tff(f12691,plain,(
% 8.48/2.13    ! [X1 : $o] : (($true = X1) <=> ($true = bG350(X1)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG350])])).
% 8.48/2.13  tff(f45142,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = X0) | ($true != bG350(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36396])).
% 8.48/2.13  tff(f61528,plain,(
% 8.48/2.13    ($true = bG351($true,$true))),
% 8.48/2.13    inference(equality_resolution,[],[f61527])).
% 8.48/2.13  tff(f61527,plain,(
% 8.48/2.13    ( ! [X1 : $o] : (($true = bG351($true,X1)) | ($true != X1)) )),
% 8.48/2.13    inference(equality_resolution,[],[f45138])).
% 8.48/2.13  tff(f45138,plain,(
% 8.48/2.13    ( ! [X0 : $o,X1 : $o] : (($true = bG351(X0,X1)) | ($true != X0) | ($true != X1)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36395])).
% 8.48/2.13  tff(f36395,plain,(
% 8.48/2.13    ! [X0 : $o,X1 : $o] : (((($true = X0) & ($true = X1)) | ($true != bG351(X0,X1))) & (($true = bG351(X0,X1)) | ($true != X0) | ($true != X1)))),
% 8.48/2.13    inference(flattening,[],[f36394])).
% 8.48/2.13  tff(f36394,plain,(
% 8.48/2.13    ! [X0 : $o,X1 : $o] : (((($true = X0) & ($true = X1)) | ($true != bG351(X0,X1))) & (($true = bG351(X0,X1)) | (($true != X0) | ($true != X1))))),
% 8.48/2.13    inference(nnf_transformation,[],[f20697])).
% 8.48/2.13  tff(f20697,plain,(
% 8.48/2.13    ! [X0 : $o,X1 : $o] : ((($true = X0) & ($true = X1)) <=> ($true = bG351(X0,X1)))),
% 8.48/2.13    inference(rectify,[],[f12696])).
% 8.48/2.13  tff(f12696,plain,(
% 8.48/2.13    ! [X2 : $o,X1 : $o] : ((($true = X2) & ($true = X1)) <=> ($true = bG351(X2,X1)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG351])])).
% 8.48/2.13  tff(f45139,plain,(
% 8.48/2.13    ( ! [X0 : $o,X1 : $o] : (($true = X1) | ($true != bG351(X0,X1))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36395])).
% 8.48/2.13  tff(f45140,plain,(
% 8.48/2.13    ( ! [X0 : $o,X1 : $o] : (($true = X0) | ($true != bG351(X0,X1))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36395])).
% 8.48/2.13  tff(f61526,plain,(
% 8.48/2.13    ($true = bG352($true))),
% 8.48/2.13    inference(equality_resolution,[],[f45136])).
% 8.48/2.13  tff(f45136,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = bG352(X0)) | ($true != X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36393])).
% 8.48/2.13  tff(f36393,plain,(
% 8.48/2.13    ! [X0 : $o] : ((($true = X0) | ($true != bG352(X0))) & (($true = bG352(X0)) | ($true != X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20696])).
% 8.48/2.13  tff(f20696,plain,(
% 8.48/2.13    ! [X0 : $o] : (($true = X0) <=> ($true = bG352(X0)))),
% 8.48/2.13    inference(rectify,[],[f12697])).
% 8.48/2.13  tff(f12697,plain,(
% 8.48/2.13    ! [X1 : $o] : (($true = X1) <=> ($true = bG352(X1)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG352])])).
% 8.48/2.13  tff(f45137,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = X0) | ($true != bG352(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36393])).
% 8.48/2.13  tff(f61525,plain,(
% 8.48/2.13    ($true = bG353($true))),
% 8.48/2.13    inference(equality_resolution,[],[f45134])).
% 8.48/2.13  tff(f45134,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = bG353(X0)) | ($true != X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36392])).
% 8.48/2.13  tff(f36392,plain,(
% 8.48/2.13    ! [X0 : $o] : ((($true = X0) | ($true != bG353(X0))) & (($true = bG353(X0)) | ($true != X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20695])).
% 8.48/2.13  tff(f20695,plain,(
% 8.48/2.13    ! [X0 : $o] : (($true = X0) <=> ($true = bG353(X0)))),
% 8.48/2.13    inference(rectify,[],[f12698])).
% 8.48/2.13  tff(f12698,plain,(
% 8.48/2.13    ! [X2 : $o] : (($true = X2) <=> ($true = bG353(X2)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG353])])).
% 8.48/2.13  tff(f45135,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = X0) | ($true != bG353(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36392])).
% 8.48/2.13  tff(f61524,plain,(
% 8.48/2.13    ( ! [X3 : $tType,X5 : X3] : (iG354(X3,bot_bot(set(X3)),X5) = X5) )),
% 8.48/2.13    inference(equality_resolution,[],[f45132])).
% 8.48/2.13  tff(f45132,plain,(
% 8.48/2.13    ( ! [X3 : $tType,X4 : set(X3),X5 : X3] : (iG354(X3,X4,X5) = X5 | bot_bot(set(X3)) != X4) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26257])).
% 8.48/2.13  tff(f26257,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : set(X0),X2 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),sup_sup(X0),X2),aa(set(X0),X0,complete_Sup_Sup(X0),X1)) = iG354(X0,X1,X2) | bot_bot(set(X0)) = X1) & ! [X3 : $tType,X4 : set(X3),X5 : X3] : (iG354(X3,X4,X5) = X5 | bot_bot(set(X3)) != X4)),
% 8.48/2.13    inference(ennf_transformation,[],[f20694])).
% 8.48/2.13  tff(f20694,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : set(X0),X2 : X0] : (bot_bot(set(X0)) != X1 => aa(X0,X0,aa(X0,fun(X0,X0),sup_sup(X0),X2),aa(set(X0),X0,complete_Sup_Sup(X0),X1)) = iG354(X0,X1,X2)) & ! [X3 : $tType,X4 : set(X3),X5 : X3] : (bot_bot(set(X3)) = X4 => iG354(X3,X4,X5) = X5)),
% 8.48/2.13    inference(flattening,[],[f20693])).
% 8.48/2.13  tff(f20693,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : set(X0),X2 : X0] : (~bot_bot(set(X0)) = X1 => aa(X0,X0,aa(X0,fun(X0,X0),sup_sup(X0),X2),aa(set(X0),X0,complete_Sup_Sup(X0),X1)) = iG354(X0,X1,X2)) & ! [X3 : $tType,X4 : set(X3),X5 : X3] : (bot_bot(set(X3)) = X4 => iG354(X3,X4,X5) = X5)),
% 8.48/2.13    inference(rectify,[],[f12705])).
% 8.48/2.13  tff(f12705,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : set(X0),X2 : X0] : (~bot_bot(set(X0)) = X1 => aa(X0,X0,aa(X0,fun(X0,X0),sup_sup(X0),X2),aa(set(X0),X0,complete_Sup_Sup(X0),X1)) = iG354(X0,X1,X2)) & ! [X0 : $tType,X1 : set(X0),X2 : X0] : (bot_bot(set(X0)) = X1 => iG354(X0,X1,X2) = X2)),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG354])])).
% 8.48/2.13  tff(f45133,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : X0,X1 : set(X0)] : (aa(X0,X0,aa(X0,fun(X0,X0),sup_sup(X0),X2),aa(set(X0),X0,complete_Sup_Sup(X0),X1)) = iG354(X0,X1,X2) | bot_bot(set(X0)) = X1) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26257])).
% 8.48/2.13  tff(f61523,plain,(
% 8.48/2.13    ( ! [X3 : $tType,X5 : X3] : (iG355(X3,bot_bot(set(X3)),X5) = X5) )),
% 8.48/2.13    inference(equality_resolution,[],[f45130])).
% 8.48/2.13  tff(f45130,plain,(
% 8.48/2.13    ( ! [X3 : $tType,X4 : set(X3),X5 : X3] : (iG355(X3,X4,X5) = X5 | bot_bot(set(X3)) != X4) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26256])).
% 8.48/2.13  tff(f26256,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : set(X0),X2 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),inf_inf(X0),X2),aa(set(X0),X0,complete_Inf_Inf(X0),X1)) = iG355(X0,X1,X2) | bot_bot(set(X0)) = X1) & ! [X3 : $tType,X4 : set(X3),X5 : X3] : (iG355(X3,X4,X5) = X5 | bot_bot(set(X3)) != X4)),
% 8.48/2.13    inference(ennf_transformation,[],[f20692])).
% 8.48/2.13  tff(f20692,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : set(X0),X2 : X0] : (bot_bot(set(X0)) != X1 => aa(X0,X0,aa(X0,fun(X0,X0),inf_inf(X0),X2),aa(set(X0),X0,complete_Inf_Inf(X0),X1)) = iG355(X0,X1,X2)) & ! [X3 : $tType,X4 : set(X3),X5 : X3] : (bot_bot(set(X3)) = X4 => iG355(X3,X4,X5) = X5)),
% 8.48/2.13    inference(flattening,[],[f20691])).
% 8.48/2.13  tff(f20691,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : set(X0),X2 : X0] : (~bot_bot(set(X0)) = X1 => aa(X0,X0,aa(X0,fun(X0,X0),inf_inf(X0),X2),aa(set(X0),X0,complete_Inf_Inf(X0),X1)) = iG355(X0,X1,X2)) & ! [X3 : $tType,X4 : set(X3),X5 : X3] : (bot_bot(set(X3)) = X4 => iG355(X3,X4,X5) = X5)),
% 8.48/2.13    inference(rectify,[],[f12710])).
% 8.48/2.13  tff(f12710,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : set(X0),X2 : X0] : (~bot_bot(set(X0)) = X1 => aa(X0,X0,aa(X0,fun(X0,X0),inf_inf(X0),X2),aa(set(X0),X0,complete_Inf_Inf(X0),X1)) = iG355(X0,X1,X2)) & ! [X0 : $tType,X1 : set(X0),X2 : X0] : (bot_bot(set(X0)) = X1 => iG355(X0,X1,X2) = X2)),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG355])])).
% 8.48/2.13  tff(f45131,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : X0,X1 : set(X0)] : (aa(X0,X0,aa(X0,fun(X0,X0),inf_inf(X0),X2),aa(set(X0),X0,complete_Inf_Inf(X0),X1)) = iG355(X0,X1,X2) | bot_bot(set(X0)) = X1) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26256])).
% 8.48/2.13  tff(f45128,plain,(
% 8.48/2.13    ( ! [X3 : $tType,X4 : X3,X5 : set(X3)] : (iG356(X3,X4,X5) = X4 | bot_bot(set(X3)) != aa(set(X3),set(X3),aa(set(X3),fun(set(X3),set(X3)),minus_minus(set(X3)),X5),aa(set(X3),set(X3),insert(X3,X4),bot_bot(set(X3))))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26255])).
% 8.48/2.13  tff(f26255,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : set(X0)] : (aa(X0,X0,aa(X0,fun(X0,X0),ord_max(X0),X1),aa(set(X0),X0,lattic643756798349783984er_Max(X0),aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X2),aa(set(X0),set(X0),insert(X0,X1),bot_bot(set(X0)))))) = iG356(X0,X1,X2) | bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X2),aa(set(X0),set(X0),insert(X0,X1),bot_bot(set(X0))))) & ! [X3 : $tType,X4 : X3,X5 : set(X3)] : (iG356(X3,X4,X5) = X4 | bot_bot(set(X3)) != aa(set(X3),set(X3),aa(set(X3),fun(set(X3),set(X3)),minus_minus(set(X3)),X5),aa(set(X3),set(X3),insert(X3,X4),bot_bot(set(X3)))))),
% 8.48/2.13    inference(ennf_transformation,[],[f20690])).
% 8.48/2.13  tff(f20690,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : set(X0)] : (bot_bot(set(X0)) != aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X2),aa(set(X0),set(X0),insert(X0,X1),bot_bot(set(X0)))) => aa(X0,X0,aa(X0,fun(X0,X0),ord_max(X0),X1),aa(set(X0),X0,lattic643756798349783984er_Max(X0),aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X2),aa(set(X0),set(X0),insert(X0,X1),bot_bot(set(X0)))))) = iG356(X0,X1,X2)) & ! [X3 : $tType,X4 : X3,X5 : set(X3)] : (bot_bot(set(X3)) = aa(set(X3),set(X3),aa(set(X3),fun(set(X3),set(X3)),minus_minus(set(X3)),X5),aa(set(X3),set(X3),insert(X3,X4),bot_bot(set(X3)))) => iG356(X3,X4,X5) = X4)),
% 8.48/2.13    inference(flattening,[],[f20689])).
% 8.48/2.13  tff(f20689,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : set(X0)] : (~bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X2),aa(set(X0),set(X0),insert(X0,X1),bot_bot(set(X0)))) => aa(X0,X0,aa(X0,fun(X0,X0),ord_max(X0),X1),aa(set(X0),X0,lattic643756798349783984er_Max(X0),aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X2),aa(set(X0),set(X0),insert(X0,X1),bot_bot(set(X0)))))) = iG356(X0,X1,X2)) & ! [X3 : $tType,X4 : X3,X5 : set(X3)] : (bot_bot(set(X3)) = aa(set(X3),set(X3),aa(set(X3),fun(set(X3),set(X3)),minus_minus(set(X3)),X5),aa(set(X3),set(X3),insert(X3,X4),bot_bot(set(X3)))) => iG356(X3,X4,X5) = X4)),
% 8.48/2.13    inference(rectify,[],[f12815])).
% 8.48/2.13  tff(f12815,plain,(
% 8.48/2.13    ! [X0 : $tType,X2 : X0,X1 : set(X0)] : (~bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X1),aa(set(X0),set(X0),insert(X0,X2),bot_bot(set(X0)))) => aa(X0,X0,aa(X0,fun(X0,X0),ord_max(X0),X2),aa(set(X0),X0,lattic643756798349783984er_Max(X0),aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X1),aa(set(X0),set(X0),insert(X0,X2),bot_bot(set(X0)))))) = iG356(X0,X2,X1)) & ! [X0 : $tType,X2 : X0,X1 : set(X0)] : (bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X1),aa(set(X0),set(X0),insert(X0,X2),bot_bot(set(X0)))) => iG356(X0,X2,X1) = X2)),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG356])])).
% 8.48/2.13  tff(f45129,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : set(X0),X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),ord_max(X0),X1),aa(set(X0),X0,lattic643756798349783984er_Max(X0),aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X2),aa(set(X0),set(X0),insert(X0,X1),bot_bot(set(X0)))))) = iG356(X0,X1,X2) | bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X2),aa(set(X0),set(X0),insert(X0,X1),bot_bot(set(X0))))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26255])).
% 8.48/2.13  tff(f45126,plain,(
% 8.48/2.13    ( ! [X3 : $tType,X4 : X3,X5 : set(X3)] : (iG357(X3,X4,X5) = X4 | bot_bot(set(X3)) != aa(set(X3),set(X3),aa(set(X3),fun(set(X3),set(X3)),minus_minus(set(X3)),X5),aa(set(X3),set(X3),insert(X3,X4),bot_bot(set(X3))))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26254])).
% 8.48/2.13  tff(f26254,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : set(X0)] : (aa(X0,X0,aa(X0,fun(X0,X0),ord_max(X0),X1),aa(set(X0),X0,lattic643756798349783984er_Max(X0),aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X2),aa(set(X0),set(X0),insert(X0,X1),bot_bot(set(X0)))))) = iG357(X0,X1,X2) | bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X2),aa(set(X0),set(X0),insert(X0,X1),bot_bot(set(X0))))) & ! [X3 : $tType,X4 : X3,X5 : set(X3)] : (iG357(X3,X4,X5) = X4 | bot_bot(set(X3)) != aa(set(X3),set(X3),aa(set(X3),fun(set(X3),set(X3)),minus_minus(set(X3)),X5),aa(set(X3),set(X3),insert(X3,X4),bot_bot(set(X3)))))),
% 8.48/2.13    inference(ennf_transformation,[],[f20688])).
% 8.48/2.13  tff(f20688,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : set(X0)] : (bot_bot(set(X0)) != aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X2),aa(set(X0),set(X0),insert(X0,X1),bot_bot(set(X0)))) => aa(X0,X0,aa(X0,fun(X0,X0),ord_max(X0),X1),aa(set(X0),X0,lattic643756798349783984er_Max(X0),aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X2),aa(set(X0),set(X0),insert(X0,X1),bot_bot(set(X0)))))) = iG357(X0,X1,X2)) & ! [X3 : $tType,X4 : X3,X5 : set(X3)] : (bot_bot(set(X3)) = aa(set(X3),set(X3),aa(set(X3),fun(set(X3),set(X3)),minus_minus(set(X3)),X5),aa(set(X3),set(X3),insert(X3,X4),bot_bot(set(X3)))) => iG357(X3,X4,X5) = X4)),
% 8.48/2.13    inference(flattening,[],[f20687])).
% 8.48/2.13  tff(f20687,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : set(X0)] : (~bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X2),aa(set(X0),set(X0),insert(X0,X1),bot_bot(set(X0)))) => aa(X0,X0,aa(X0,fun(X0,X0),ord_max(X0),X1),aa(set(X0),X0,lattic643756798349783984er_Max(X0),aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X2),aa(set(X0),set(X0),insert(X0,X1),bot_bot(set(X0)))))) = iG357(X0,X1,X2)) & ! [X3 : $tType,X4 : X3,X5 : set(X3)] : (bot_bot(set(X3)) = aa(set(X3),set(X3),aa(set(X3),fun(set(X3),set(X3)),minus_minus(set(X3)),X5),aa(set(X3),set(X3),insert(X3,X4),bot_bot(set(X3)))) => iG357(X3,X4,X5) = X4)),
% 8.48/2.13    inference(rectify,[],[f12820])).
% 8.48/2.13  tff(f12820,plain,(
% 8.48/2.13    ! [X0 : $tType,X2 : X0,X1 : set(X0)] : (~bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X1),aa(set(X0),set(X0),insert(X0,X2),bot_bot(set(X0)))) => aa(X0,X0,aa(X0,fun(X0,X0),ord_max(X0),X2),aa(set(X0),X0,lattic643756798349783984er_Max(X0),aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X1),aa(set(X0),set(X0),insert(X0,X2),bot_bot(set(X0)))))) = iG357(X0,X2,X1)) & ! [X0 : $tType,X2 : X0,X1 : set(X0)] : (bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X1),aa(set(X0),set(X0),insert(X0,X2),bot_bot(set(X0)))) => iG357(X0,X2,X1) = X2)),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG357])])).
% 8.48/2.13  tff(f45127,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : set(X0),X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),ord_max(X0),X1),aa(set(X0),X0,lattic643756798349783984er_Max(X0),aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X2),aa(set(X0),set(X0),insert(X0,X1),bot_bot(set(X0)))))) = iG357(X0,X1,X2) | bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X2),aa(set(X0),set(X0),insert(X0,X1),bot_bot(set(X0))))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26254])).
% 8.48/2.13  tff(f61522,plain,(
% 8.48/2.13    ( ! [X3 : $tType,X5 : X3] : (iG358(X3,nil(X3),X5) = X5) )),
% 8.48/2.13    inference(equality_resolution,[],[f45124])).
% 8.48/2.13  tff(f45124,plain,(
% 8.48/2.13    ( ! [X3 : $tType,X4 : list(X3),X5 : X3] : (iG358(X3,X4,X5) = X5 | nil(X3) != X4) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26253])).
% 8.48/2.13  tff(f26253,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : list(X0),X2 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),ord_max(X0),aa(nat,X0,nth(X0,X1),zero_zero(nat))),X2) = iG358(X0,X1,X2) | nil(X0) = X1) & ! [X3 : $tType,X4 : list(X3),X5 : X3] : (iG358(X3,X4,X5) = X5 | nil(X3) != X4)),
% 8.48/2.13    inference(ennf_transformation,[],[f20686])).
% 8.48/2.13  tff(f20686,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : list(X0),X2 : X0] : (nil(X0) != X1 => aa(X0,X0,aa(X0,fun(X0,X0),ord_max(X0),aa(nat,X0,nth(X0,X1),zero_zero(nat))),X2) = iG358(X0,X1,X2)) & ! [X3 : $tType,X4 : list(X3),X5 : X3] : (nil(X3) = X4 => iG358(X3,X4,X5) = X5)),
% 8.48/2.13    inference(flattening,[],[f20685])).
% 8.48/2.13  tff(f20685,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : list(X0),X2 : X0] : (~nil(X0) = X1 => aa(X0,X0,aa(X0,fun(X0,X0),ord_max(X0),aa(nat,X0,nth(X0,X1),zero_zero(nat))),X2) = iG358(X0,X1,X2)) & ! [X3 : $tType,X4 : list(X3),X5 : X3] : (nil(X3) = X4 => iG358(X3,X4,X5) = X5)),
% 8.48/2.13    inference(rectify,[],[f12855])).
% 8.48/2.13  tff(f12855,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : list(X0),X2 : X0] : (~nil(X0) = X1 => aa(X0,X0,aa(X0,fun(X0,X0),ord_max(X0),aa(nat,X0,nth(X0,X1),zero_zero(nat))),X2) = iG358(X0,X1,X2)) & ! [X0 : $tType,X1 : list(X0),X2 : X0] : (nil(X0) = X1 => iG358(X0,X1,X2) = X2)),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG358])])).
% 8.48/2.13  tff(f45125,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (aa(X0,X0,aa(X0,fun(X0,X0),ord_max(X0),aa(nat,X0,nth(X0,X1),zero_zero(nat))),X2) = iG358(X0,X1,X2) | nil(X0) = X1) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26253])).
% 8.48/2.13  tff(f45122,plain,(
% 8.48/2.13    ( ! [X3 : $tType,X4 : X3,X5 : set(X3)] : (iG359(X3,X4,X5) = X4 | bot_bot(set(X3)) != aa(set(X3),set(X3),aa(set(X3),fun(set(X3),set(X3)),minus_minus(set(X3)),X5),aa(set(X3),set(X3),insert(X3,X4),bot_bot(set(X3))))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26252])).
% 8.48/2.13  tff(f26252,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : set(X0)] : (aa(X0,X0,aa(X0,fun(X0,X0),inf_inf(X0),X1),lattic7752659483105999362nf_fin(X0,aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X2),aa(set(X0),set(X0),insert(X0,X1),bot_bot(set(X0)))))) = iG359(X0,X1,X2) | bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X2),aa(set(X0),set(X0),insert(X0,X1),bot_bot(set(X0))))) & ! [X3 : $tType,X4 : X3,X5 : set(X3)] : (iG359(X3,X4,X5) = X4 | bot_bot(set(X3)) != aa(set(X3),set(X3),aa(set(X3),fun(set(X3),set(X3)),minus_minus(set(X3)),X5),aa(set(X3),set(X3),insert(X3,X4),bot_bot(set(X3)))))),
% 8.48/2.13    inference(ennf_transformation,[],[f20684])).
% 8.48/2.13  tff(f20684,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : set(X0)] : (bot_bot(set(X0)) != aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X2),aa(set(X0),set(X0),insert(X0,X1),bot_bot(set(X0)))) => aa(X0,X0,aa(X0,fun(X0,X0),inf_inf(X0),X1),lattic7752659483105999362nf_fin(X0,aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X2),aa(set(X0),set(X0),insert(X0,X1),bot_bot(set(X0)))))) = iG359(X0,X1,X2)) & ! [X3 : $tType,X4 : X3,X5 : set(X3)] : (bot_bot(set(X3)) = aa(set(X3),set(X3),aa(set(X3),fun(set(X3),set(X3)),minus_minus(set(X3)),X5),aa(set(X3),set(X3),insert(X3,X4),bot_bot(set(X3)))) => iG359(X3,X4,X5) = X4)),
% 8.48/2.13    inference(flattening,[],[f20683])).
% 8.48/2.13  tff(f20683,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : set(X0)] : (~bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X2),aa(set(X0),set(X0),insert(X0,X1),bot_bot(set(X0)))) => aa(X0,X0,aa(X0,fun(X0,X0),inf_inf(X0),X1),lattic7752659483105999362nf_fin(X0,aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X2),aa(set(X0),set(X0),insert(X0,X1),bot_bot(set(X0)))))) = iG359(X0,X1,X2)) & ! [X3 : $tType,X4 : X3,X5 : set(X3)] : (bot_bot(set(X3)) = aa(set(X3),set(X3),aa(set(X3),fun(set(X3),set(X3)),minus_minus(set(X3)),X5),aa(set(X3),set(X3),insert(X3,X4),bot_bot(set(X3)))) => iG359(X3,X4,X5) = X4)),
% 8.48/2.13    inference(rectify,[],[f13064])).
% 8.48/2.13  tff(f13064,plain,(
% 8.48/2.13    ! [X0 : $tType,X2 : X0,X1 : set(X0)] : (~bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X1),aa(set(X0),set(X0),insert(X0,X2),bot_bot(set(X0)))) => aa(X0,X0,aa(X0,fun(X0,X0),inf_inf(X0),X2),lattic7752659483105999362nf_fin(X0,aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X1),aa(set(X0),set(X0),insert(X0,X2),bot_bot(set(X0)))))) = iG359(X0,X2,X1)) & ! [X0 : $tType,X2 : X0,X1 : set(X0)] : (bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X1),aa(set(X0),set(X0),insert(X0,X2),bot_bot(set(X0)))) => iG359(X0,X2,X1) = X2)),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG359])])).
% 8.48/2.13  tff(f45123,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : set(X0),X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),inf_inf(X0),X1),lattic7752659483105999362nf_fin(X0,aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X2),aa(set(X0),set(X0),insert(X0,X1),bot_bot(set(X0)))))) = iG359(X0,X1,X2) | bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X2),aa(set(X0),set(X0),insert(X0,X1),bot_bot(set(X0))))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26252])).
% 8.48/2.13  tff(f45120,plain,(
% 8.48/2.13    ( ! [X3 : $tType,X4 : X3,X5 : set(X3)] : (iG360(X3,X4,X5) = X4 | bot_bot(set(X3)) != aa(set(X3),set(X3),aa(set(X3),fun(set(X3),set(X3)),minus_minus(set(X3)),X5),aa(set(X3),set(X3),insert(X3,X4),bot_bot(set(X3))))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26251])).
% 8.48/2.13  tff(f26251,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : set(X0)] : (aa(X0,X0,aa(X0,fun(X0,X0),inf_inf(X0),X1),lattic7752659483105999362nf_fin(X0,aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X2),aa(set(X0),set(X0),insert(X0,X1),bot_bot(set(X0)))))) = iG360(X0,X1,X2) | bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X2),aa(set(X0),set(X0),insert(X0,X1),bot_bot(set(X0))))) & ! [X3 : $tType,X4 : X3,X5 : set(X3)] : (iG360(X3,X4,X5) = X4 | bot_bot(set(X3)) != aa(set(X3),set(X3),aa(set(X3),fun(set(X3),set(X3)),minus_minus(set(X3)),X5),aa(set(X3),set(X3),insert(X3,X4),bot_bot(set(X3)))))),
% 8.48/2.13    inference(ennf_transformation,[],[f20682])).
% 8.48/2.13  tff(f20682,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : set(X0)] : (bot_bot(set(X0)) != aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X2),aa(set(X0),set(X0),insert(X0,X1),bot_bot(set(X0)))) => aa(X0,X0,aa(X0,fun(X0,X0),inf_inf(X0),X1),lattic7752659483105999362nf_fin(X0,aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X2),aa(set(X0),set(X0),insert(X0,X1),bot_bot(set(X0)))))) = iG360(X0,X1,X2)) & ! [X3 : $tType,X4 : X3,X5 : set(X3)] : (bot_bot(set(X3)) = aa(set(X3),set(X3),aa(set(X3),fun(set(X3),set(X3)),minus_minus(set(X3)),X5),aa(set(X3),set(X3),insert(X3,X4),bot_bot(set(X3)))) => iG360(X3,X4,X5) = X4)),
% 8.48/2.13    inference(flattening,[],[f20681])).
% 8.48/2.13  tff(f20681,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : set(X0)] : (~bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X2),aa(set(X0),set(X0),insert(X0,X1),bot_bot(set(X0)))) => aa(X0,X0,aa(X0,fun(X0,X0),inf_inf(X0),X1),lattic7752659483105999362nf_fin(X0,aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X2),aa(set(X0),set(X0),insert(X0,X1),bot_bot(set(X0)))))) = iG360(X0,X1,X2)) & ! [X3 : $tType,X4 : X3,X5 : set(X3)] : (bot_bot(set(X3)) = aa(set(X3),set(X3),aa(set(X3),fun(set(X3),set(X3)),minus_minus(set(X3)),X5),aa(set(X3),set(X3),insert(X3,X4),bot_bot(set(X3)))) => iG360(X3,X4,X5) = X4)),
% 8.48/2.13    inference(rectify,[],[f13067])).
% 8.48/2.13  tff(f13067,plain,(
% 8.48/2.13    ! [X0 : $tType,X2 : X0,X1 : set(X0)] : (~bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X1),aa(set(X0),set(X0),insert(X0,X2),bot_bot(set(X0)))) => aa(X0,X0,aa(X0,fun(X0,X0),inf_inf(X0),X2),lattic7752659483105999362nf_fin(X0,aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X1),aa(set(X0),set(X0),insert(X0,X2),bot_bot(set(X0)))))) = iG360(X0,X2,X1)) & ! [X0 : $tType,X2 : X0,X1 : set(X0)] : (bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X1),aa(set(X0),set(X0),insert(X0,X2),bot_bot(set(X0)))) => iG360(X0,X2,X1) = X2)),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG360])])).
% 8.48/2.13  tff(f45121,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : set(X0),X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),inf_inf(X0),X1),lattic7752659483105999362nf_fin(X0,aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X2),aa(set(X0),set(X0),insert(X0,X1),bot_bot(set(X0)))))) = iG360(X0,X1,X2) | bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X2),aa(set(X0),set(X0),insert(X0,X1),bot_bot(set(X0))))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26251])).
% 8.48/2.13  tff(f45118,plain,(
% 8.48/2.13    ( ! [X3 : $tType,X4 : X3,X5 : set(X3)] : (iG361(X3,X4,X5) = X4 | bot_bot(set(X3)) != aa(set(X3),set(X3),aa(set(X3),fun(set(X3),set(X3)),minus_minus(set(X3)),X5),aa(set(X3),set(X3),insert(X3,X4),bot_bot(set(X3))))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26250])).
% 8.48/2.13  tff(f26250,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : set(X0)] : (aa(X0,X0,aa(X0,fun(X0,X0),sup_sup(X0),X1),lattic5882676163264333800up_fin(X0,aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X2),aa(set(X0),set(X0),insert(X0,X1),bot_bot(set(X0)))))) = iG361(X0,X1,X2) | bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X2),aa(set(X0),set(X0),insert(X0,X1),bot_bot(set(X0))))) & ! [X3 : $tType,X4 : X3,X5 : set(X3)] : (iG361(X3,X4,X5) = X4 | bot_bot(set(X3)) != aa(set(X3),set(X3),aa(set(X3),fun(set(X3),set(X3)),minus_minus(set(X3)),X5),aa(set(X3),set(X3),insert(X3,X4),bot_bot(set(X3)))))),
% 8.48/2.13    inference(ennf_transformation,[],[f20680])).
% 8.48/2.13  tff(f20680,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : set(X0)] : (bot_bot(set(X0)) != aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X2),aa(set(X0),set(X0),insert(X0,X1),bot_bot(set(X0)))) => aa(X0,X0,aa(X0,fun(X0,X0),sup_sup(X0),X1),lattic5882676163264333800up_fin(X0,aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X2),aa(set(X0),set(X0),insert(X0,X1),bot_bot(set(X0)))))) = iG361(X0,X1,X2)) & ! [X3 : $tType,X4 : X3,X5 : set(X3)] : (bot_bot(set(X3)) = aa(set(X3),set(X3),aa(set(X3),fun(set(X3),set(X3)),minus_minus(set(X3)),X5),aa(set(X3),set(X3),insert(X3,X4),bot_bot(set(X3)))) => iG361(X3,X4,X5) = X4)),
% 8.48/2.13    inference(flattening,[],[f20679])).
% 8.48/2.13  tff(f20679,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : set(X0)] : (~bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X2),aa(set(X0),set(X0),insert(X0,X1),bot_bot(set(X0)))) => aa(X0,X0,aa(X0,fun(X0,X0),sup_sup(X0),X1),lattic5882676163264333800up_fin(X0,aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X2),aa(set(X0),set(X0),insert(X0,X1),bot_bot(set(X0)))))) = iG361(X0,X1,X2)) & ! [X3 : $tType,X4 : X3,X5 : set(X3)] : (bot_bot(set(X3)) = aa(set(X3),set(X3),aa(set(X3),fun(set(X3),set(X3)),minus_minus(set(X3)),X5),aa(set(X3),set(X3),insert(X3,X4),bot_bot(set(X3)))) => iG361(X3,X4,X5) = X4)),
% 8.48/2.13    inference(rectify,[],[f13152])).
% 8.48/2.13  tff(f13152,plain,(
% 8.48/2.13    ! [X0 : $tType,X2 : X0,X1 : set(X0)] : (~bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X1),aa(set(X0),set(X0),insert(X0,X2),bot_bot(set(X0)))) => aa(X0,X0,aa(X0,fun(X0,X0),sup_sup(X0),X2),lattic5882676163264333800up_fin(X0,aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X1),aa(set(X0),set(X0),insert(X0,X2),bot_bot(set(X0)))))) = iG361(X0,X2,X1)) & ! [X0 : $tType,X2 : X0,X1 : set(X0)] : (bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X1),aa(set(X0),set(X0),insert(X0,X2),bot_bot(set(X0)))) => iG361(X0,X2,X1) = X2)),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG361])])).
% 8.48/2.13  tff(f45119,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : set(X0),X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),sup_sup(X0),X1),lattic5882676163264333800up_fin(X0,aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X2),aa(set(X0),set(X0),insert(X0,X1),bot_bot(set(X0)))))) = iG361(X0,X1,X2) | bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X2),aa(set(X0),set(X0),insert(X0,X1),bot_bot(set(X0))))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26250])).
% 8.48/2.13  tff(f45116,plain,(
% 8.48/2.13    ( ! [X3 : $tType,X4 : X3,X5 : set(X3)] : (iG362(X3,X4,X5) = X4 | bot_bot(set(X3)) != aa(set(X3),set(X3),aa(set(X3),fun(set(X3),set(X3)),minus_minus(set(X3)),X5),aa(set(X3),set(X3),insert(X3,X4),bot_bot(set(X3))))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26249])).
% 8.48/2.13  tff(f26249,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : set(X0)] : (aa(X0,X0,aa(X0,fun(X0,X0),sup_sup(X0),X1),lattic5882676163264333800up_fin(X0,aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X2),aa(set(X0),set(X0),insert(X0,X1),bot_bot(set(X0)))))) = iG362(X0,X1,X2) | bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X2),aa(set(X0),set(X0),insert(X0,X1),bot_bot(set(X0))))) & ! [X3 : $tType,X4 : X3,X5 : set(X3)] : (iG362(X3,X4,X5) = X4 | bot_bot(set(X3)) != aa(set(X3),set(X3),aa(set(X3),fun(set(X3),set(X3)),minus_minus(set(X3)),X5),aa(set(X3),set(X3),insert(X3,X4),bot_bot(set(X3)))))),
% 8.48/2.13    inference(ennf_transformation,[],[f20678])).
% 8.48/2.13  tff(f20678,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : set(X0)] : (bot_bot(set(X0)) != aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X2),aa(set(X0),set(X0),insert(X0,X1),bot_bot(set(X0)))) => aa(X0,X0,aa(X0,fun(X0,X0),sup_sup(X0),X1),lattic5882676163264333800up_fin(X0,aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X2),aa(set(X0),set(X0),insert(X0,X1),bot_bot(set(X0)))))) = iG362(X0,X1,X2)) & ! [X3 : $tType,X4 : X3,X5 : set(X3)] : (bot_bot(set(X3)) = aa(set(X3),set(X3),aa(set(X3),fun(set(X3),set(X3)),minus_minus(set(X3)),X5),aa(set(X3),set(X3),insert(X3,X4),bot_bot(set(X3)))) => iG362(X3,X4,X5) = X4)),
% 8.48/2.13    inference(flattening,[],[f20677])).
% 8.48/2.13  tff(f20677,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : set(X0)] : (~bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X2),aa(set(X0),set(X0),insert(X0,X1),bot_bot(set(X0)))) => aa(X0,X0,aa(X0,fun(X0,X0),sup_sup(X0),X1),lattic5882676163264333800up_fin(X0,aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X2),aa(set(X0),set(X0),insert(X0,X1),bot_bot(set(X0)))))) = iG362(X0,X1,X2)) & ! [X3 : $tType,X4 : X3,X5 : set(X3)] : (bot_bot(set(X3)) = aa(set(X3),set(X3),aa(set(X3),fun(set(X3),set(X3)),minus_minus(set(X3)),X5),aa(set(X3),set(X3),insert(X3,X4),bot_bot(set(X3)))) => iG362(X3,X4,X5) = X4)),
% 8.48/2.13    inference(rectify,[],[f13155])).
% 8.48/2.13  tff(f13155,plain,(
% 8.48/2.13    ! [X0 : $tType,X2 : X0,X1 : set(X0)] : (~bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X1),aa(set(X0),set(X0),insert(X0,X2),bot_bot(set(X0)))) => aa(X0,X0,aa(X0,fun(X0,X0),sup_sup(X0),X2),lattic5882676163264333800up_fin(X0,aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X1),aa(set(X0),set(X0),insert(X0,X2),bot_bot(set(X0)))))) = iG362(X0,X2,X1)) & ! [X0 : $tType,X2 : X0,X1 : set(X0)] : (bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X1),aa(set(X0),set(X0),insert(X0,X2),bot_bot(set(X0)))) => iG362(X0,X2,X1) = X2)),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG362])])).
% 8.48/2.13  tff(f45117,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : set(X0),X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),sup_sup(X0),X1),lattic5882676163264333800up_fin(X0,aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X2),aa(set(X0),set(X0),insert(X0,X1),bot_bot(set(X0)))))) = iG362(X0,X1,X2) | bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X2),aa(set(X0),set(X0),insert(X0,X1),bot_bot(set(X0))))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26249])).
% 8.48/2.13  tff(f45114,plain,(
% 8.48/2.13    ( ! [X3 : $tType,X4 : X3,X5 : X3] : (iG363(X3,X4,X5) = X4 | ($true != aa(X3,$o,aa(X3,fun(X3,$o),ord_less_eq(X3),X5),X4))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26248])).
% 8.48/2.13  tff(f26248,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0] : (iG363(X0,X1,X2) = X2 | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X1))) & ! [X3 : $tType,X4 : X3,X5 : X3] : (iG363(X3,X4,X5) = X4 | ($true != aa(X3,$o,aa(X3,fun(X3,$o),ord_less_eq(X3),X5),X4)))),
% 8.48/2.13    inference(ennf_transformation,[],[f20676])).
% 8.48/2.13  tff(f20676,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X1)) => iG363(X0,X1,X2) = X2) & ! [X3 : $tType,X4 : X3,X5 : X3] : (($true = aa(X3,$o,aa(X3,fun(X3,$o),ord_less_eq(X3),X5),X4)) => iG363(X3,X4,X5) = X4)),
% 8.48/2.13    inference(flattening,[],[f20675])).
% 8.48/2.13  tff(f20675,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X1)) => iG363(X0,X1,X2) = X2) & ! [X3 : $tType,X4 : X3,X5 : X3] : (($true = aa(X3,$o,aa(X3,fun(X3,$o),ord_less_eq(X3),X5),X4)) => iG363(X3,X4,X5) = X4)),
% 8.48/2.13    inference(rectify,[],[f13242])).
% 8.48/2.13  tff(f13242,plain,(
% 8.48/2.13    ! [X0 : $tType,X2 : X0,X1 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),X2)) => iG363(X0,X2,X1) = X1) & ! [X0 : $tType,X2 : X0,X1 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),X2)) => iG363(X0,X2,X1) = X2)),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG363])])).
% 8.48/2.13  tff(f45115,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : X0,X1 : X0] : (iG363(X0,X1,X2) = X2 | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X1))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26248])).
% 8.48/2.13  tff(f45112,plain,(
% 8.48/2.13    ( ! [X3 : $tType,X4 : X3,X5 : X3] : (iG364(X3,X4,X5) = X4 | ($true != aa(X3,$o,aa(X3,fun(X3,$o),ord_less_eq(X3),X5),X4))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26247])).
% 8.48/2.13  tff(f26247,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0] : (iG364(X0,X1,X2) = X2 | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X1))) & ! [X3 : $tType,X4 : X3,X5 : X3] : (iG364(X3,X4,X5) = X4 | ($true != aa(X3,$o,aa(X3,fun(X3,$o),ord_less_eq(X3),X5),X4)))),
% 8.48/2.13    inference(ennf_transformation,[],[f20674])).
% 8.48/2.13  tff(f20674,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X1)) => iG364(X0,X1,X2) = X2) & ! [X3 : $tType,X4 : X3,X5 : X3] : (($true = aa(X3,$o,aa(X3,fun(X3,$o),ord_less_eq(X3),X5),X4)) => iG364(X3,X4,X5) = X4)),
% 8.48/2.13    inference(flattening,[],[f20673])).
% 8.48/2.13  tff(f20673,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X1)) => iG364(X0,X1,X2) = X2) & ! [X3 : $tType,X4 : X3,X5 : X3] : (($true = aa(X3,$o,aa(X3,fun(X3,$o),ord_less_eq(X3),X5),X4)) => iG364(X3,X4,X5) = X4)),
% 8.48/2.13    inference(rectify,[],[f13245])).
% 8.48/2.13  tff(f13245,plain,(
% 8.48/2.13    ! [X0 : $tType,X2 : X0,X1 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),X2)) => iG364(X0,X2,X1) = X1) & ! [X0 : $tType,X2 : X0,X1 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X1),X2)) => iG364(X0,X2,X1) = X2)),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG364])])).
% 8.48/2.13  tff(f45113,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : X0,X1 : X0] : (iG364(X0,X1,X2) = X2 | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),X2),X1))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26247])).
% 8.48/2.13  tff(f45110,plain,(
% 8.48/2.13    ( ! [X3 : $tType,X4 : X3,X5 : X3] : (aa(set(X3),set(X3),insert(X3,X5),bot_bot(set(X3))) = iG365(X3,X4,X5) | ($true != aa(X3,$o,aa(X3,fun(X3,$o),ord_less(X3),X5),X4))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26246])).
% 8.48/2.13  tff(f26246,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0] : (bot_bot(set(X0)) = iG365(X0,X1,X2) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X1))) & ! [X3 : $tType,X4 : X3,X5 : X3] : (aa(set(X3),set(X3),insert(X3,X5),bot_bot(set(X3))) = iG365(X3,X4,X5) | ($true != aa(X3,$o,aa(X3,fun(X3,$o),ord_less(X3),X5),X4)))),
% 8.48/2.13    inference(ennf_transformation,[],[f20672])).
% 8.48/2.13  tff(f20672,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X1)) => bot_bot(set(X0)) = iG365(X0,X1,X2)) & ! [X3 : $tType,X4 : X3,X5 : X3] : (($true = aa(X3,$o,aa(X3,fun(X3,$o),ord_less(X3),X5),X4)) => aa(set(X3),set(X3),insert(X3,X5),bot_bot(set(X3))) = iG365(X3,X4,X5))),
% 8.48/2.13    inference(flattening,[],[f20671])).
% 8.48/2.13  tff(f20671,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X1)) => bot_bot(set(X0)) = iG365(X0,X1,X2)) & ! [X3 : $tType,X4 : X3,X5 : X3] : (($true = aa(X3,$o,aa(X3,fun(X3,$o),ord_less(X3),X5),X4)) => aa(set(X3),set(X3),insert(X3,X5),bot_bot(set(X3))) = iG365(X3,X4,X5))),
% 8.48/2.13    inference(rectify,[],[f13424])).
% 8.48/2.13  tff(f13424,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : X0] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X1)) => bot_bot(set(X0)) = iG365(X0,X1,X2)) & ! [X0 : $tType,X1 : X0,X2 : X0] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X1)) => aa(set(X0),set(X0),insert(X0,X2),bot_bot(set(X0))) = iG365(X0,X1,X2))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG365])])).
% 8.48/2.13  tff(f45111,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : X0,X1 : X0] : (bot_bot(set(X0)) = iG365(X0,X1,X2) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less(X0),X2),X1))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26246])).
% 8.48/2.13  tff(f61521,plain,(
% 8.48/2.13    ($true = bG366($true))),
% 8.48/2.13    inference(equality_resolution,[],[f45108])).
% 8.48/2.13  tff(f45108,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = bG366(X0)) | ($true != X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36391])).
% 8.48/2.13  tff(f36391,plain,(
% 8.48/2.13    ! [X0 : $o] : ((($true = X0) | ($true != bG366(X0))) & (($true = bG366(X0)) | ($true != X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20670])).
% 8.48/2.13  tff(f20670,plain,(
% 8.48/2.13    ! [X0 : $o] : (($true = X0) <=> ($true = bG366(X0)))),
% 8.48/2.13    inference(rectify,[],[f13537])).
% 8.48/2.13  tff(f13537,plain,(
% 8.48/2.13    ! [X1 : $o] : (($true = X1) <=> ($true = bG366(X1)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG366])])).
% 8.48/2.13  tff(f45109,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = X0) | ($true != bG366(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36391])).
% 8.48/2.13  tff(f61520,plain,(
% 8.48/2.13    ($true = bG367($true))),
% 8.48/2.13    inference(equality_resolution,[],[f45106])).
% 8.48/2.13  tff(f45106,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = bG367(X0)) | ($true != X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36390])).
% 8.48/2.13  tff(f36390,plain,(
% 8.48/2.13    ! [X0 : $o] : ((($true = X0) | ($true != bG367(X0))) & (($true = bG367(X0)) | ($true != X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20669])).
% 8.48/2.13  tff(f20669,plain,(
% 8.48/2.13    ! [X0 : $o] : (($true = X0) <=> ($true = bG367(X0)))),
% 8.48/2.13    inference(rectify,[],[f13538])).
% 8.48/2.13  tff(f13538,plain,(
% 8.48/2.13    ! [X2 : $o] : (($true = X2) <=> ($true = bG367(X2)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG367])])).
% 8.48/2.13  tff(f45107,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = X0) | ($true != bG367(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36390])).
% 8.48/2.13  tff(f61519,plain,(
% 8.48/2.13    ($true = bG368($true))),
% 8.48/2.13    inference(equality_resolution,[],[f45104])).
% 8.48/2.13  tff(f45104,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = bG368(X0)) | ($true != X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36389])).
% 8.48/2.13  tff(f36389,plain,(
% 8.48/2.13    ! [X0 : $o] : ((($true = X0) | ($true != bG368(X0))) & (($true = bG368(X0)) | ($true != X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20668])).
% 8.48/2.13  tff(f20668,plain,(
% 8.48/2.13    ! [X0 : $o] : (($true = X0) <=> ($true = bG368(X0)))),
% 8.48/2.13    inference(rectify,[],[f13563])).
% 8.48/2.13  tff(f13563,plain,(
% 8.48/2.13    ! [X1 : $o] : (($true = X1) <=> ($true = bG368(X1)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG368])])).
% 8.48/2.13  tff(f45105,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = X0) | ($true != bG368(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36389])).
% 8.48/2.13  tff(f61518,plain,(
% 8.48/2.13    ($true = bG369($true))),
% 8.48/2.13    inference(equality_resolution,[],[f45102])).
% 8.48/2.13  tff(f45102,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = bG369(X0)) | ($true != X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36388])).
% 8.48/2.13  tff(f36388,plain,(
% 8.48/2.13    ! [X0 : $o] : ((($true = X0) | ($true != bG369(X0))) & (($true = bG369(X0)) | ($true != X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20667])).
% 8.48/2.13  tff(f20667,plain,(
% 8.48/2.13    ! [X0 : $o] : (($true = X0) <=> ($true = bG369(X0)))),
% 8.48/2.13    inference(rectify,[],[f13564])).
% 8.48/2.13  tff(f13564,plain,(
% 8.48/2.13    ! [X2 : $o] : (($true = X2) <=> ($true = bG369(X2)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG369])])).
% 8.48/2.13  tff(f45103,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = X0) | ($true != bG369(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36388])).
% 8.48/2.13  tff(f45100,plain,(
% 8.48/2.13    ( ! [X5 : $tType,X8 : fun(nat,X5),X6 : set(nat),X9 : fun(nat,X5),X7 : nat] : (aa(nat,X5,X9,X7) = iG370(X5,X6,X7,X8,X9) | ~member(nat,X7,X6)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26245])).
% 8.48/2.13  tff(f26245,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : set(nat),X2 : nat,X3 : fun(nat,X0),X4 : fun(nat,X0)] : (aa(nat,X0,X3,X2) = iG370(X0,X1,X2,X3,X4) | member(nat,X2,X1)) & ! [X5 : $tType,X6 : set(nat),X7 : nat,X8 : fun(nat,X5),X9 : fun(nat,X5)] : (aa(nat,X5,X9,X7) = iG370(X5,X6,X7,X8,X9) | ~member(nat,X7,X6))),
% 8.48/2.13    inference(ennf_transformation,[],[f20666])).
% 8.48/2.13  tff(f20666,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : set(nat),X2 : nat,X3 : fun(nat,X0),X4 : fun(nat,X0)] : (~member(nat,X2,X1) => aa(nat,X0,X3,X2) = iG370(X0,X1,X2,X3,X4)) & ! [X5 : $tType,X6 : set(nat),X7 : nat,X8 : fun(nat,X5),X9 : fun(nat,X5)] : (member(nat,X7,X6) => aa(nat,X5,X9,X7) = iG370(X5,X6,X7,X8,X9))),
% 8.48/2.13    inference(flattening,[],[f20665])).
% 8.48/2.13  tff(f20665,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : set(nat),X2 : nat,X3 : fun(nat,X0),X4 : fun(nat,X0)] : (~member(nat,X2,X1) => aa(nat,X0,X3,X2) = iG370(X0,X1,X2,X3,X4)) & ! [X5 : $tType,X6 : set(nat),X7 : nat,X8 : fun(nat,X5),X9 : fun(nat,X5)] : (member(nat,X7,X6) => aa(nat,X5,X9,X7) = iG370(X5,X6,X7,X8,X9))),
% 8.48/2.13    inference(rectify,[],[f13569])).
% 8.48/2.13  tff(f13569,plain,(
% 8.48/2.13    ! [X0 : $tType,X2 : set(nat),X4 : nat,X1 : fun(nat,X0),X3 : fun(nat,X0)] : (~member(nat,X4,X2) => aa(nat,X0,X1,X4) = iG370(X0,X2,X4,X1,X3)) & ! [X0 : $tType,X2 : set(nat),X4 : nat,X1 : fun(nat,X0),X3 : fun(nat,X0)] : (member(nat,X4,X2) => aa(nat,X0,X3,X4) = iG370(X0,X2,X4,X1,X3))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG370])])).
% 8.48/2.13  tff(f45101,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : nat,X3 : fun(nat,X0),X1 : set(nat),X4 : fun(nat,X0)] : (aa(nat,X0,X3,X2) = iG370(X0,X1,X2,X3,X4) | member(nat,X2,X1)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26245])).
% 8.48/2.13  tff(f45098,plain,(
% 8.48/2.13    ( ! [X3 : $tType,X4 : nat,X5 : X3] : (zero_zero(X3) = iG371(X3,X4,X5) | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X4)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26244])).
% 8.48/2.13  tff(f26244,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : X0] : (real_V8093663219630862766scaleR(X0,aa(real,real,inverse_inverse(real),semiring_char_0_fact(real,X1)),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X2),X1)) = iG371(X0,X1,X2) | dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1)) & ! [X3 : $tType,X4 : nat,X5 : X3] : (zero_zero(X3) = iG371(X3,X4,X5) | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X4))),
% 8.48/2.13    inference(ennf_transformation,[],[f20664])).
% 8.48/2.13  tff(f20664,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : X0] : (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1) => real_V8093663219630862766scaleR(X0,aa(real,real,inverse_inverse(real),semiring_char_0_fact(real,X1)),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X2),X1)) = iG371(X0,X1,X2)) & ! [X3 : $tType,X4 : nat,X5 : X3] : (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X4) => zero_zero(X3) = iG371(X3,X4,X5))),
% 8.48/2.13    inference(flattening,[],[f20663])).
% 8.48/2.13  tff(f20663,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : X0] : (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1) => real_V8093663219630862766scaleR(X0,aa(real,real,inverse_inverse(real),semiring_char_0_fact(real,X1)),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X2),X1)) = iG371(X0,X1,X2)) & ! [X3 : $tType,X4 : nat,X5 : X3] : (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X4) => zero_zero(X3) = iG371(X3,X4,X5))),
% 8.48/2.13    inference(rectify,[],[f13622])).
% 8.48/2.13  tff(f13622,plain,(
% 8.48/2.13    ! [X0 : $tType,X2 : nat,X1 : X0] : (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2) => real_V8093663219630862766scaleR(X0,aa(real,real,inverse_inverse(real),semiring_char_0_fact(real,X2)),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),X2)) = iG371(X0,X2,X1)) & ! [X0 : $tType,X2 : nat,X1 : X0] : (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2) => zero_zero(X0) = iG371(X0,X2,X1))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG371])])).
% 8.48/2.13  tff(f45099,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : X0,X1 : nat] : (real_V8093663219630862766scaleR(X0,aa(real,real,inverse_inverse(real),semiring_char_0_fact(real,X1)),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X2),X1)) = iG371(X0,X1,X2) | dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26244])).
% 8.48/2.13  tff(f45096,plain,(
% 8.48/2.13    ( ! [X3 : $tType,X4 : nat,X5 : X3] : (real_V8093663219630862766scaleR(X3,aa(real,real,inverse_inverse(real),semiring_char_0_fact(real,X4)),aa(nat,X3,aa(X3,fun(nat,X3),power_power(X3),X5),X4)) = iG372(X3,X4,X5) | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X4)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26243])).
% 8.48/2.13  tff(f26243,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : X0] : (zero_zero(X0) = iG372(X0,X1,X2) | dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1)) & ! [X3 : $tType,X4 : nat,X5 : X3] : (real_V8093663219630862766scaleR(X3,aa(real,real,inverse_inverse(real),semiring_char_0_fact(real,X4)),aa(nat,X3,aa(X3,fun(nat,X3),power_power(X3),X5),X4)) = iG372(X3,X4,X5) | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X4))),
% 8.48/2.13    inference(ennf_transformation,[],[f20662])).
% 8.48/2.13  tff(f20662,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : X0] : (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1) => zero_zero(X0) = iG372(X0,X1,X2)) & ! [X3 : $tType,X4 : nat,X5 : X3] : (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X4) => real_V8093663219630862766scaleR(X3,aa(real,real,inverse_inverse(real),semiring_char_0_fact(real,X4)),aa(nat,X3,aa(X3,fun(nat,X3),power_power(X3),X5),X4)) = iG372(X3,X4,X5))),
% 8.48/2.13    inference(flattening,[],[f20661])).
% 8.48/2.13  tff(f20661,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : X0] : (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1) => zero_zero(X0) = iG372(X0,X1,X2)) & ! [X3 : $tType,X4 : nat,X5 : X3] : (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X4) => real_V8093663219630862766scaleR(X3,aa(real,real,inverse_inverse(real),semiring_char_0_fact(real,X4)),aa(nat,X3,aa(X3,fun(nat,X3),power_power(X3),X5),X4)) = iG372(X3,X4,X5))),
% 8.48/2.13    inference(rectify,[],[f13625])).
% 8.48/2.13  tff(f13625,plain,(
% 8.48/2.13    ! [X0 : $tType,X2 : nat,X1 : X0] : (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2) => zero_zero(X0) = iG372(X0,X2,X1)) & ! [X0 : $tType,X2 : nat,X1 : X0] : (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2) => real_V8093663219630862766scaleR(X0,aa(real,real,inverse_inverse(real),semiring_char_0_fact(real,X2)),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),X2)) = iG372(X0,X2,X1))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG372])])).
% 8.48/2.13  tff(f45097,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : X0,X1 : nat] : (zero_zero(X0) = iG372(X0,X1,X2) | dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26243])).
% 8.48/2.13  tff(f45094,plain,(
% 8.48/2.13    ( ! [X5 : $tType,X8 : X5,X6 : nat,X9 : X5,X7 : nat] : (aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),real_V8093663219630862766scaleR(X5,divide_divide(real,ring_1_of_int(real,aa(int,int,aa(int,fun(int,int),times_times(int),aa(nat,int,aa(int,fun(nat,int),power_power(int),aa(int,int,uminus_uminus(int),one_one(int))),divide_divide(nat,X6,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(nat,int,semiring_1_of_nat(int),aa(nat,nat,binomial(X6),X7)))),semiring_char_0_fact(real,X6)),aa(nat,X5,aa(X5,fun(nat,X5),power_power(X5),X9),X7))),aa(nat,X5,aa(X5,fun(nat,X5),power_power(X5),X8),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X6),X7))) = iG373(X5,X6,X7,X8,X9) | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X6)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26242])).
% 8.48/2.13  tff(f26242,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : X0,X4 : X0] : (zero_zero(X0) = iG373(X0,X1,X2,X3,X4) | dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1)) & ! [X5 : $tType,X6 : nat,X7 : nat,X8 : X5,X9 : X5] : (aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),real_V8093663219630862766scaleR(X5,divide_divide(real,ring_1_of_int(real,aa(int,int,aa(int,fun(int,int),times_times(int),aa(nat,int,aa(int,fun(nat,int),power_power(int),aa(int,int,uminus_uminus(int),one_one(int))),divide_divide(nat,X6,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(nat,int,semiring_1_of_nat(int),aa(nat,nat,binomial(X6),X7)))),semiring_char_0_fact(real,X6)),aa(nat,X5,aa(X5,fun(nat,X5),power_power(X5),X9),X7))),aa(nat,X5,aa(X5,fun(nat,X5),power_power(X5),X8),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X6),X7))) = iG373(X5,X6,X7,X8,X9) | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X6))),
% 8.48/2.13    inference(ennf_transformation,[],[f20660])).
% 8.48/2.13  tff(f20660,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : X0,X4 : X0] : (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1) => zero_zero(X0) = iG373(X0,X1,X2,X3,X4)) & ! [X5 : $tType,X6 : nat,X7 : nat,X8 : X5,X9 : X5] : (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X6) => aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),real_V8093663219630862766scaleR(X5,divide_divide(real,ring_1_of_int(real,aa(int,int,aa(int,fun(int,int),times_times(int),aa(nat,int,aa(int,fun(nat,int),power_power(int),aa(int,int,uminus_uminus(int),one_one(int))),divide_divide(nat,X6,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(nat,int,semiring_1_of_nat(int),aa(nat,nat,binomial(X6),X7)))),semiring_char_0_fact(real,X6)),aa(nat,X5,aa(X5,fun(nat,X5),power_power(X5),X9),X7))),aa(nat,X5,aa(X5,fun(nat,X5),power_power(X5),X8),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X6),X7))) = iG373(X5,X6,X7,X8,X9))),
% 8.48/2.13    inference(flattening,[],[f20659])).
% 8.48/2.13  tff(f20659,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : X0,X4 : X0] : (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1) => zero_zero(X0) = iG373(X0,X1,X2,X3,X4)) & ! [X5 : $tType,X6 : nat,X7 : nat,X8 : X5,X9 : X5] : (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X6) => aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),real_V8093663219630862766scaleR(X5,divide_divide(real,ring_1_of_int(real,aa(int,int,aa(int,fun(int,int),times_times(int),aa(nat,int,aa(int,fun(nat,int),power_power(int),aa(int,int,uminus_uminus(int),one_one(int))),divide_divide(nat,X6,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(nat,int,semiring_1_of_nat(int),aa(nat,nat,binomial(X6),X7)))),semiring_char_0_fact(real,X6)),aa(nat,X5,aa(X5,fun(nat,X5),power_power(X5),X9),X7))),aa(nat,X5,aa(X5,fun(nat,X5),power_power(X5),X8),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X6),X7))) = iG373(X5,X6,X7,X8,X9))),
% 8.48/2.13    inference(rectify,[],[f13650])).
% 8.48/2.13  tff(f13650,plain,(
% 8.48/2.13    ! [X0 : $tType,X3 : nat,X4 : nat,X2 : X0,X1 : X0] : (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X3) => zero_zero(X0) = iG373(X0,X3,X4,X2,X1)) & ! [X0 : $tType,X3 : nat,X4 : nat,X2 : X0,X1 : X0] : (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X3) => aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),real_V8093663219630862766scaleR(X0,divide_divide(real,ring_1_of_int(real,aa(int,int,aa(int,fun(int,int),times_times(int),aa(nat,int,aa(int,fun(nat,int),power_power(int),aa(int,int,uminus_uminus(int),one_one(int))),divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(nat,int,semiring_1_of_nat(int),aa(nat,nat,binomial(X3),X4)))),semiring_char_0_fact(real,X3)),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),X4))),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X2),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),X4))) = iG373(X0,X3,X4,X2,X1))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG373])])).
% 8.48/2.13  tff(f45095,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : nat,X3 : X0,X1 : nat,X4 : X0] : (zero_zero(X0) = iG373(X0,X1,X2,X3,X4) | dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26242])).
% 8.48/2.13  tff(f45091,plain,(
% 8.48/2.13    ( ! [X5 : $tType,X8 : X5,X6 : nat,X9 : X5,X7 : nat] : (aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),real_V8093663219630862766scaleR(X5,aa(real,real,uminus_uminus(real),divide_divide(real,ring_1_of_int(real,aa(int,int,aa(int,fun(int,int),times_times(int),aa(nat,int,aa(int,fun(nat,int),power_power(int),aa(int,int,uminus_uminus(int),one_one(int))),divide_divide(nat,X7,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(nat,int,semiring_1_of_nat(int),aa(nat,nat,binomial(X7),X6)))),semiring_char_0_fact(real,X7))),aa(nat,X5,aa(X5,fun(nat,X5),power_power(X5),X9),X6))),aa(nat,X5,aa(X5,fun(nat,X5),power_power(X5),X8),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X7),X6))) = iG374(X5,X6,X7,X8,X9) | dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X6) | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X7)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26241])).
% 8.48/2.13  tff(f26241,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : X0,X4 : X0] : (zero_zero(X0) = iG374(X0,X1,X2,X3,X4) | (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1) & dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2))) & ! [X5 : $tType,X6 : nat,X7 : nat,X8 : X5,X9 : X5] : (aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),real_V8093663219630862766scaleR(X5,aa(real,real,uminus_uminus(real),divide_divide(real,ring_1_of_int(real,aa(int,int,aa(int,fun(int,int),times_times(int),aa(nat,int,aa(int,fun(nat,int),power_power(int),aa(int,int,uminus_uminus(int),one_one(int))),divide_divide(nat,X7,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(nat,int,semiring_1_of_nat(int),aa(nat,nat,binomial(X7),X6)))),semiring_char_0_fact(real,X7))),aa(nat,X5,aa(X5,fun(nat,X5),power_power(X5),X9),X6))),aa(nat,X5,aa(X5,fun(nat,X5),power_power(X5),X8),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X7),X6))) = iG374(X5,X6,X7,X8,X9) | dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X6) | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X7))),
% 8.48/2.13    inference(flattening,[],[f26240])).
% 8.48/2.13  tff(f26240,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : X0,X4 : X0] : (zero_zero(X0) = iG374(X0,X1,X2,X3,X4) | (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1) & dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2))) & ! [X5 : $tType,X6 : nat,X7 : nat,X8 : X5,X9 : X5] : (aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),real_V8093663219630862766scaleR(X5,aa(real,real,uminus_uminus(real),divide_divide(real,ring_1_of_int(real,aa(int,int,aa(int,fun(int,int),times_times(int),aa(nat,int,aa(int,fun(nat,int),power_power(int),aa(int,int,uminus_uminus(int),one_one(int))),divide_divide(nat,X7,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(nat,int,semiring_1_of_nat(int),aa(nat,nat,binomial(X7),X6)))),semiring_char_0_fact(real,X7))),aa(nat,X5,aa(X5,fun(nat,X5),power_power(X5),X9),X6))),aa(nat,X5,aa(X5,fun(nat,X5),power_power(X5),X8),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X7),X6))) = iG374(X5,X6,X7,X8,X9) | (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X6) | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X7)))),
% 8.48/2.13    inference(ennf_transformation,[],[f20658])).
% 8.48/2.13  tff(f20658,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : X0,X4 : X0] : (~(~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1) & dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2)) => zero_zero(X0) = iG374(X0,X1,X2,X3,X4)) & ! [X5 : $tType,X6 : nat,X7 : nat,X8 : X5,X9 : X5] : ((~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X6) & dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X7)) => aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),real_V8093663219630862766scaleR(X5,aa(real,real,uminus_uminus(real),divide_divide(real,ring_1_of_int(real,aa(int,int,aa(int,fun(int,int),times_times(int),aa(nat,int,aa(int,fun(nat,int),power_power(int),aa(int,int,uminus_uminus(int),one_one(int))),divide_divide(nat,X7,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(nat,int,semiring_1_of_nat(int),aa(nat,nat,binomial(X7),X6)))),semiring_char_0_fact(real,X7))),aa(nat,X5,aa(X5,fun(nat,X5),power_power(X5),X9),X6))),aa(nat,X5,aa(X5,fun(nat,X5),power_power(X5),X8),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X7),X6))) = iG374(X5,X6,X7,X8,X9))),
% 8.48/2.13    inference(rectify,[],[f13653])).
% 8.48/2.13  tff(f13653,plain,(
% 8.48/2.13    ! [X0 : $tType,X4 : nat,X3 : nat,X2 : X0,X1 : X0] : (~(~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X4) & dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X3)) => zero_zero(X0) = iG374(X0,X4,X3,X2,X1)) & ! [X0 : $tType,X4 : nat,X3 : nat,X2 : X0,X1 : X0] : ((~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X4) & dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X3)) => aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),real_V8093663219630862766scaleR(X0,aa(real,real,uminus_uminus(real),divide_divide(real,ring_1_of_int(real,aa(int,int,aa(int,fun(int,int),times_times(int),aa(nat,int,aa(int,fun(nat,int),power_power(int),aa(int,int,uminus_uminus(int),one_one(int))),divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(nat,int,semiring_1_of_nat(int),aa(nat,nat,binomial(X3),X4)))),semiring_char_0_fact(real,X3))),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),X4))),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X2),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),X4))) = iG374(X0,X4,X3,X2,X1))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG374])])).
% 8.48/2.13  tff(f45092,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : nat,X3 : X0,X1 : nat,X4 : X0] : (zero_zero(X0) = iG374(X0,X1,X2,X3,X4) | dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26241])).
% 8.48/2.13  tff(f45093,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : nat,X3 : X0,X1 : nat,X4 : X0] : (zero_zero(X0) = iG374(X0,X1,X2,X3,X4) | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26241])).
% 8.48/2.13  tff(f45088,plain,(
% 8.48/2.13    ( ! [X5 : $tType,X8 : X5,X6 : nat,X9 : X5,X7 : nat] : (aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),real_V8093663219630862766scaleR(X5,divide_divide(real,ring_1_of_int(real,aa(int,int,aa(int,fun(int,int),times_times(int),aa(nat,int,aa(int,fun(nat,int),power_power(int),aa(int,int,uminus_uminus(int),one_one(int))),divide_divide(nat,X7,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(nat,int,semiring_1_of_nat(int),aa(nat,nat,binomial(X7),X6)))),semiring_char_0_fact(real,X7)),aa(nat,X5,aa(X5,fun(nat,X5),power_power(X5),X9),X6))),aa(nat,X5,aa(X5,fun(nat,X5),power_power(X5),X8),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X7),X6))) = iG375(X5,X6,X7,X8,X9) | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X6) | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X7)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26239])).
% 8.48/2.13  tff(f26239,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : X0,X4 : X0] : (zero_zero(X0) = iG375(X0,X1,X2,X3,X4) | (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1) & dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2))) & ! [X5 : $tType,X6 : nat,X7 : nat,X8 : X5,X9 : X5] : (aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),real_V8093663219630862766scaleR(X5,divide_divide(real,ring_1_of_int(real,aa(int,int,aa(int,fun(int,int),times_times(int),aa(nat,int,aa(int,fun(nat,int),power_power(int),aa(int,int,uminus_uminus(int),one_one(int))),divide_divide(nat,X7,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(nat,int,semiring_1_of_nat(int),aa(nat,nat,binomial(X7),X6)))),semiring_char_0_fact(real,X7)),aa(nat,X5,aa(X5,fun(nat,X5),power_power(X5),X9),X6))),aa(nat,X5,aa(X5,fun(nat,X5),power_power(X5),X8),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X7),X6))) = iG375(X5,X6,X7,X8,X9) | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X6) | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X7))),
% 8.48/2.13    inference(flattening,[],[f26238])).
% 8.48/2.13  tff(f26238,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : X0,X4 : X0] : (zero_zero(X0) = iG375(X0,X1,X2,X3,X4) | (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1) & dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2))) & ! [X5 : $tType,X6 : nat,X7 : nat,X8 : X5,X9 : X5] : (aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),real_V8093663219630862766scaleR(X5,divide_divide(real,ring_1_of_int(real,aa(int,int,aa(int,fun(int,int),times_times(int),aa(nat,int,aa(int,fun(nat,int),power_power(int),aa(int,int,uminus_uminus(int),one_one(int))),divide_divide(nat,X7,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(nat,int,semiring_1_of_nat(int),aa(nat,nat,binomial(X7),X6)))),semiring_char_0_fact(real,X7)),aa(nat,X5,aa(X5,fun(nat,X5),power_power(X5),X9),X6))),aa(nat,X5,aa(X5,fun(nat,X5),power_power(X5),X8),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X7),X6))) = iG375(X5,X6,X7,X8,X9) | (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X6) | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X7)))),
% 8.48/2.13    inference(ennf_transformation,[],[f20657])).
% 8.48/2.13  tff(f20657,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : X0,X4 : X0] : (~(dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1) & dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2)) => zero_zero(X0) = iG375(X0,X1,X2,X3,X4)) & ! [X5 : $tType,X6 : nat,X7 : nat,X8 : X5,X9 : X5] : ((dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X6) & dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X7)) => aa(X5,X5,aa(X5,fun(X5,X5),times_times(X5),real_V8093663219630862766scaleR(X5,divide_divide(real,ring_1_of_int(real,aa(int,int,aa(int,fun(int,int),times_times(int),aa(nat,int,aa(int,fun(nat,int),power_power(int),aa(int,int,uminus_uminus(int),one_one(int))),divide_divide(nat,X7,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(nat,int,semiring_1_of_nat(int),aa(nat,nat,binomial(X7),X6)))),semiring_char_0_fact(real,X7)),aa(nat,X5,aa(X5,fun(nat,X5),power_power(X5),X9),X6))),aa(nat,X5,aa(X5,fun(nat,X5),power_power(X5),X8),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X7),X6))) = iG375(X5,X6,X7,X8,X9))),
% 8.48/2.13    inference(rectify,[],[f13656])).
% 8.48/2.13  tff(f13656,plain,(
% 8.48/2.13    ! [X0 : $tType,X4 : nat,X3 : nat,X2 : X0,X1 : X0] : (~(dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X4) & dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X3)) => zero_zero(X0) = iG375(X0,X4,X3,X2,X1)) & ! [X0 : $tType,X4 : nat,X3 : nat,X2 : X0,X1 : X0] : ((dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X4) & dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X3)) => aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),real_V8093663219630862766scaleR(X0,divide_divide(real,ring_1_of_int(real,aa(int,int,aa(int,fun(int,int),times_times(int),aa(nat,int,aa(int,fun(nat,int),power_power(int),aa(int,int,uminus_uminus(int),one_one(int))),divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(nat,int,semiring_1_of_nat(int),aa(nat,nat,binomial(X3),X4)))),semiring_char_0_fact(real,X3)),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),X4))),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X2),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),X4))) = iG375(X0,X4,X3,X2,X1))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG375])])).
% 8.48/2.13  tff(f45089,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : nat,X3 : X0,X1 : nat,X4 : X0] : (zero_zero(X0) = iG375(X0,X1,X2,X3,X4) | dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26239])).
% 8.48/2.13  tff(f45090,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : nat,X3 : X0,X1 : nat,X4 : X0] : (zero_zero(X0) = iG375(X0,X1,X2,X3,X4) | dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26239])).
% 8.48/2.13  tff(f61517,plain,(
% 8.48/2.13    ( ! [X3 : $tType,X5 : nat] : (aa(nat,X3,semiring_1_of_nat(X3),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X5),one_one(nat))) = iG376(X3,one_one(X3),X5)) )),
% 8.48/2.13    inference(equality_resolution,[],[f45086])).
% 8.48/2.13  tff(f45086,plain,(
% 8.48/2.13    ( ! [X3 : $tType,X4 : X3,X5 : nat] : (aa(nat,X3,semiring_1_of_nat(X3),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X5),one_one(nat))) = iG376(X3,X4,X5) | one_one(X3) != X4) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26237])).
% 8.48/2.13  tff(f26237,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : nat] : (divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),one_one(X0)),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),aa(nat,nat,suc,X2))),aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),one_one(X0)),X1)) = iG376(X0,X1,X2) | one_one(X0) = X1) & ! [X3 : $tType,X4 : X3,X5 : nat] : (aa(nat,X3,semiring_1_of_nat(X3),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X5),one_one(nat))) = iG376(X3,X4,X5) | one_one(X3) != X4)),
% 8.48/2.13    inference(ennf_transformation,[],[f20656])).
% 8.48/2.13  tff(f20656,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : nat] : (one_one(X0) != X1 => divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),one_one(X0)),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),aa(nat,nat,suc,X2))),aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),one_one(X0)),X1)) = iG376(X0,X1,X2)) & ! [X3 : $tType,X4 : X3,X5 : nat] : (one_one(X3) = X4 => aa(nat,X3,semiring_1_of_nat(X3),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X5),one_one(nat))) = iG376(X3,X4,X5))),
% 8.48/2.13    inference(flattening,[],[f20655])).
% 8.48/2.13  tff(f20655,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : nat] : (~one_one(X0) = X1 => divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),one_one(X0)),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),aa(nat,nat,suc,X2))),aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),one_one(X0)),X1)) = iG376(X0,X1,X2)) & ! [X3 : $tType,X4 : X3,X5 : nat] : (one_one(X3) = X4 => aa(nat,X3,semiring_1_of_nat(X3),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X5),one_one(nat))) = iG376(X3,X4,X5))),
% 8.48/2.13    inference(rectify,[],[f13661])).
% 8.48/2.13  tff(f13661,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : nat] : (~one_one(X0) = X1 => divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),one_one(X0)),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),aa(nat,nat,suc,X2))),aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),one_one(X0)),X1)) = iG376(X0,X1,X2)) & ! [X0 : $tType,X1 : X0,X2 : nat] : (one_one(X0) = X1 => aa(nat,X0,semiring_1_of_nat(X0),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X2),one_one(nat))) = iG376(X0,X1,X2))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG376])])).
% 8.48/2.13  tff(f45087,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : nat,X1 : X0] : (divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),one_one(X0)),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),aa(nat,nat,suc,X2))),aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),one_one(X0)),X1)) = iG376(X0,X1,X2) | one_one(X0) = X1) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26237])).
% 8.48/2.13  tff(f61516,plain,(
% 8.48/2.13    ( ! [X3 : $tType,X5 : nat] : (aa(nat,X3,semiring_1_of_nat(X3),X5) = iG377(X3,one_one(X3),X5)) )),
% 8.48/2.13    inference(equality_resolution,[],[f45084])).
% 8.48/2.13  tff(f45084,plain,(
% 8.48/2.13    ( ! [X3 : $tType,X4 : X3,X5 : nat] : (aa(nat,X3,semiring_1_of_nat(X3),X5) = iG377(X3,X4,X5) | one_one(X3) != X4) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26236])).
% 8.48/2.13  tff(f26236,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : nat] : (divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),one_one(X0)),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),X2)),aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),one_one(X0)),X1)) = iG377(X0,X1,X2) | one_one(X0) = X1) & ! [X3 : $tType,X4 : X3,X5 : nat] : (aa(nat,X3,semiring_1_of_nat(X3),X5) = iG377(X3,X4,X5) | one_one(X3) != X4)),
% 8.48/2.13    inference(ennf_transformation,[],[f20654])).
% 8.48/2.13  tff(f20654,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : nat] : (one_one(X0) != X1 => divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),one_one(X0)),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),X2)),aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),one_one(X0)),X1)) = iG377(X0,X1,X2)) & ! [X3 : $tType,X4 : X3,X5 : nat] : (one_one(X3) = X4 => aa(nat,X3,semiring_1_of_nat(X3),X5) = iG377(X3,X4,X5))),
% 8.48/2.13    inference(flattening,[],[f20653])).
% 8.48/2.13  tff(f20653,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : nat] : (~one_one(X0) = X1 => divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),one_one(X0)),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),X2)),aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),one_one(X0)),X1)) = iG377(X0,X1,X2)) & ! [X3 : $tType,X4 : X3,X5 : nat] : (one_one(X3) = X4 => aa(nat,X3,semiring_1_of_nat(X3),X5) = iG377(X3,X4,X5))),
% 8.48/2.13    inference(rectify,[],[f13664])).
% 8.48/2.13  tff(f13664,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : nat] : (~one_one(X0) = X1 => divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),one_one(X0)),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),X2)),aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),one_one(X0)),X1)) = iG377(X0,X1,X2)) & ! [X0 : $tType,X1 : X0,X2 : nat] : (one_one(X0) = X1 => aa(nat,X0,semiring_1_of_nat(X0),X2) = iG377(X0,X1,X2))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG377])])).
% 8.48/2.13  tff(f45085,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : nat,X1 : X0] : (divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),one_one(X0)),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),X2)),aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),one_one(X0)),X1)) = iG377(X0,X1,X2) | one_one(X0) = X1) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26236])).
% 8.48/2.13  tff(f61515,plain,(
% 8.48/2.13    ( ! [X4 : $tType,X6 : nat,X7 : nat] : (aa(nat,X4,semiring_1_of_nat(X4),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X6),one_one(nat))),X7)) = iG378(X4,one_one(X4),X6,X7)) )),
% 8.48/2.13    inference(equality_resolution,[],[f45082])).
% 8.48/2.13  tff(f45082,plain,(
% 8.48/2.13    ( ! [X4 : $tType,X6 : nat,X7 : nat,X5 : X4] : (aa(nat,X4,semiring_1_of_nat(X4),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X6),one_one(nat))),X7)) = iG378(X4,X5,X6,X7) | one_one(X4) != X5) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26235])).
% 8.48/2.13  tff(f26235,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : nat,X3 : nat] : (divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),X3)),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),aa(nat,nat,suc,X2))),aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),one_one(X0)),X1)) = iG378(X0,X1,X2,X3) | one_one(X0) = X1) & ! [X4 : $tType,X5 : X4,X6 : nat,X7 : nat] : (aa(nat,X4,semiring_1_of_nat(X4),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X6),one_one(nat))),X7)) = iG378(X4,X5,X6,X7) | one_one(X4) != X5)),
% 8.48/2.13    inference(ennf_transformation,[],[f20652])).
% 8.48/2.13  tff(f20652,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : nat,X3 : nat] : (one_one(X0) != X1 => divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),X3)),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),aa(nat,nat,suc,X2))),aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),one_one(X0)),X1)) = iG378(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : X4,X6 : nat,X7 : nat] : (one_one(X4) = X5 => aa(nat,X4,semiring_1_of_nat(X4),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X6),one_one(nat))),X7)) = iG378(X4,X5,X6,X7))),
% 8.48/2.13    inference(flattening,[],[f20651])).
% 8.48/2.13  tff(f20651,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : nat,X3 : nat] : (~one_one(X0) = X1 => divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),X3)),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),aa(nat,nat,suc,X2))),aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),one_one(X0)),X1)) = iG378(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : X4,X6 : nat,X7 : nat] : (one_one(X4) = X5 => aa(nat,X4,semiring_1_of_nat(X4),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X6),one_one(nat))),X7)) = iG378(X4,X5,X6,X7))),
% 8.48/2.13    inference(rectify,[],[f13667])).
% 8.48/2.13  tff(f13667,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X3 : nat,X2 : nat] : (~one_one(X0) = X1 => divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),X2)),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),aa(nat,nat,suc,X3))),aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),one_one(X0)),X1)) = iG378(X0,X1,X3,X2)) & ! [X0 : $tType,X1 : X0,X3 : nat,X2 : nat] : (one_one(X0) = X1 => aa(nat,X0,semiring_1_of_nat(X0),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X3),one_one(nat))),X2)) = iG378(X0,X1,X3,X2))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG378])])).
% 8.48/2.13  tff(f45083,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : nat,X3 : nat,X1 : X0] : (divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),X3)),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),aa(nat,nat,suc,X2))),aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),one_one(X0)),X1)) = iG378(X0,X1,X2,X3) | one_one(X0) = X1) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26235])).
% 8.48/2.13  tff(f45080,plain,(
% 8.48/2.13    ( ! [X4 : $tType,X6 : nat,X7 : X4,X5 : nat] : (zero_zero(X4) = iG379(X4,X5,X6,X7) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X5))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26234])).
% 8.48/2.13  tff(f26234,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : X0] : (iG378(X0,X3,X2,X1) = iG379(X0,X1,X2,X3) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1))) & ! [X4 : $tType,X5 : nat,X6 : nat,X7 : X4] : (zero_zero(X4) = iG379(X4,X5,X6,X7) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X5)))),
% 8.48/2.13    inference(ennf_transformation,[],[f20650])).
% 8.48/2.13  tff(f20650,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : X0] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1)) => iG378(X0,X3,X2,X1) = iG379(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : nat,X6 : nat,X7 : X4] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X5)) => zero_zero(X4) = iG379(X4,X5,X6,X7))),
% 8.48/2.13    inference(flattening,[],[f20649])).
% 8.48/2.13  tff(f20649,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : X0] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1)) => iG378(X0,X3,X2,X1) = iG379(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : nat,X6 : nat,X7 : X4] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X5)) => zero_zero(X4) = iG379(X4,X5,X6,X7))),
% 8.48/2.13    inference(rectify,[],[f13668])).
% 8.48/2.13  tff(f13668,plain,(
% 8.48/2.13    ! [X0 : $tType,X2 : nat,X3 : nat,X1 : X0] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)) => iG378(X0,X1,X3,X2) = iG379(X0,X2,X3,X1)) & ! [X0 : $tType,X2 : nat,X3 : nat,X1 : X0] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)) => zero_zero(X0) = iG379(X0,X2,X3,X1))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG379])])).
% 8.48/2.13  tff(f45081,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : nat,X3 : X0,X1 : nat] : (iG378(X0,X3,X2,X1) = iG379(X0,X1,X2,X3) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26234])).
% 8.48/2.13  tff(f61514,plain,(
% 8.48/2.13    ( ! [X4 : $tType,X6 : nat,X7 : nat] : (aa(X4,X4,aa(X4,fun(X4,X4),plus_plus(X4),aa(nat,X4,semiring_1_of_nat(X4),X6)),one_one(X4)) = iG380(X4,one_one(X4),X6,X7)) )),
% 8.48/2.13    inference(equality_resolution,[],[f45078])).
% 8.48/2.13  tff(f45078,plain,(
% 8.48/2.13    ( ! [X4 : $tType,X6 : nat,X7 : nat,X5 : X4] : (aa(X4,X4,aa(X4,fun(X4,X4),plus_plus(X4),aa(nat,X4,semiring_1_of_nat(X4),X6)),one_one(X4)) = iG380(X4,X5,X6,X7) | one_one(X4) != X5) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26233])).
% 8.48/2.13  tff(f26233,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : nat,X3 : nat] : (divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),X3)),aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),one_one(X0)),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),aa(nat,nat,suc,X2)))),aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),one_one(X0)),X1)) = iG380(X0,X1,X2,X3) | one_one(X0) = X1) & ! [X4 : $tType,X5 : X4,X6 : nat,X7 : nat] : (aa(X4,X4,aa(X4,fun(X4,X4),plus_plus(X4),aa(nat,X4,semiring_1_of_nat(X4),X6)),one_one(X4)) = iG380(X4,X5,X6,X7) | one_one(X4) != X5)),
% 8.48/2.13    inference(ennf_transformation,[],[f20648])).
% 8.48/2.13  tff(f20648,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : nat,X3 : nat] : (one_one(X0) != X1 => divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),X3)),aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),one_one(X0)),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),aa(nat,nat,suc,X2)))),aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),one_one(X0)),X1)) = iG380(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : X4,X6 : nat,X7 : nat] : (one_one(X4) = X5 => aa(X4,X4,aa(X4,fun(X4,X4),plus_plus(X4),aa(nat,X4,semiring_1_of_nat(X4),X6)),one_one(X4)) = iG380(X4,X5,X6,X7))),
% 8.48/2.13    inference(flattening,[],[f20647])).
% 8.48/2.13  tff(f20647,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X2 : nat,X3 : nat] : (~one_one(X0) = X1 => divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),X3)),aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),one_one(X0)),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),aa(nat,nat,suc,X2)))),aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),one_one(X0)),X1)) = iG380(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : X4,X6 : nat,X7 : nat] : (one_one(X4) = X5 => aa(X4,X4,aa(X4,fun(X4,X4),plus_plus(X4),aa(nat,X4,semiring_1_of_nat(X4),X6)),one_one(X4)) = iG380(X4,X5,X6,X7))),
% 8.48/2.13    inference(rectify,[],[f13671])).
% 8.48/2.13  tff(f13671,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : X0,X3 : nat,X2 : nat] : (~one_one(X0) = X1 => divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),X2)),aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),one_one(X0)),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),aa(nat,nat,suc,X3)))),aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),one_one(X0)),X1)) = iG380(X0,X1,X3,X2)) & ! [X0 : $tType,X1 : X0,X3 : nat,X2 : nat] : (one_one(X0) = X1 => aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(nat,X0,semiring_1_of_nat(X0),X3)),one_one(X0)) = iG380(X0,X1,X3,X2))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG380])])).
% 8.48/2.13  tff(f45079,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : nat,X3 : nat,X1 : X0] : (divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),X3)),aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),one_one(X0)),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),aa(nat,nat,suc,X2)))),aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),one_one(X0)),X1)) = iG380(X0,X1,X2,X3) | one_one(X0) = X1) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26233])).
% 8.48/2.13  tff(f61513,plain,(
% 8.48/2.13    ( ! [X3 : $tType,X5 : nat] : (one_one(X3) = iG381(X3,X5,X5)) )),
% 8.48/2.13    inference(equality_resolution,[],[f45076])).
% 8.48/2.13  tff(f45076,plain,(
% 8.48/2.13    ( ! [X3 : $tType,X4 : nat,X5 : nat] : (one_one(X3) = iG381(X3,X4,X5) | X4 != X5) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26232])).
% 8.48/2.13  tff(f26232,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat] : (zero_zero(X0) = iG381(X0,X1,X2) | X1 = X2) & ! [X3 : $tType,X4 : nat,X5 : nat] : (one_one(X3) = iG381(X3,X4,X5) | X4 != X5)),
% 8.48/2.13    inference(ennf_transformation,[],[f20646])).
% 8.48/2.13  tff(f20646,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat] : (X1 != X2 => zero_zero(X0) = iG381(X0,X1,X2)) & ! [X3 : $tType,X4 : nat,X5 : nat] : (X4 = X5 => one_one(X3) = iG381(X3,X4,X5))),
% 8.48/2.13    inference(flattening,[],[f20645])).
% 8.48/2.13  tff(f20645,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : nat,X2 : nat] : (~X1 = X2 => zero_zero(X0) = iG381(X0,X1,X2)) & ! [X3 : $tType,X4 : nat,X5 : nat] : (X4 = X5 => one_one(X3) = iG381(X3,X4,X5))),
% 8.48/2.13    inference(rectify,[],[f13710])).
% 8.48/2.13  tff(f13710,plain,(
% 8.48/2.13    ! [X0 : $tType,X3 : nat,X1 : nat] : (~X1 = X3 => zero_zero(X0) = iG381(X0,X3,X1)) & ! [X0 : $tType,X3 : nat,X1 : nat] : (X1 = X3 => one_one(X0) = iG381(X0,X3,X1))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG381])])).
% 8.48/2.13  tff(f45077,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : nat,X1 : nat] : (zero_zero(X0) = iG381(X0,X1,X2) | X1 = X2) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26232])).
% 8.48/2.13  tff(f45074,plain,(
% 8.48/2.13    ( ! [X3 : $tType,X4 : num,X5 : num] : (aa(num,X3,numeral_numeral(X3),X4) = iG382(X3,X4,X5) | ($true != aa(X3,$o,aa(X3,fun(X3,$o),ord_less_eq(X3),aa(num,X3,numeral_numeral(X3),X5)),aa(num,X3,numeral_numeral(X3),X4)))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26231])).
% 8.48/2.13  tff(f26231,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : num,X2 : num] : (aa(num,X0,numeral_numeral(X0),X2) = iG382(X0,X1,X2) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(num,X0,numeral_numeral(X0),X2)),aa(num,X0,numeral_numeral(X0),X1)))) & ! [X3 : $tType,X4 : num,X5 : num] : (aa(num,X3,numeral_numeral(X3),X4) = iG382(X3,X4,X5) | ($true != aa(X3,$o,aa(X3,fun(X3,$o),ord_less_eq(X3),aa(num,X3,numeral_numeral(X3),X5)),aa(num,X3,numeral_numeral(X3),X4))))),
% 8.48/2.13    inference(ennf_transformation,[],[f20644])).
% 8.48/2.13  tff(f20644,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : num,X2 : num] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(num,X0,numeral_numeral(X0),X2)),aa(num,X0,numeral_numeral(X0),X1))) => aa(num,X0,numeral_numeral(X0),X2) = iG382(X0,X1,X2)) & ! [X3 : $tType,X4 : num,X5 : num] : (($true = aa(X3,$o,aa(X3,fun(X3,$o),ord_less_eq(X3),aa(num,X3,numeral_numeral(X3),X5)),aa(num,X3,numeral_numeral(X3),X4))) => aa(num,X3,numeral_numeral(X3),X4) = iG382(X3,X4,X5))),
% 8.48/2.13    inference(flattening,[],[f20643])).
% 8.48/2.13  tff(f20643,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : num,X2 : num] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(num,X0,numeral_numeral(X0),X2)),aa(num,X0,numeral_numeral(X0),X1))) => aa(num,X0,numeral_numeral(X0),X2) = iG382(X0,X1,X2)) & ! [X3 : $tType,X4 : num,X5 : num] : (($true = aa(X3,$o,aa(X3,fun(X3,$o),ord_less_eq(X3),aa(num,X3,numeral_numeral(X3),X5)),aa(num,X3,numeral_numeral(X3),X4))) => aa(num,X3,numeral_numeral(X3),X4) = iG382(X3,X4,X5))),
% 8.48/2.13    inference(rectify,[],[f13745])).
% 8.48/2.13  tff(f13745,plain,(
% 8.48/2.13    ! [X0 : $tType,X2 : num,X1 : num] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(num,X0,numeral_numeral(X0),X1)),aa(num,X0,numeral_numeral(X0),X2))) => aa(num,X0,numeral_numeral(X0),X1) = iG382(X0,X2,X1)) & ! [X0 : $tType,X2 : num,X1 : num] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(num,X0,numeral_numeral(X0),X1)),aa(num,X0,numeral_numeral(X0),X2))) => aa(num,X0,numeral_numeral(X0),X2) = iG382(X0,X2,X1))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG382])])).
% 8.48/2.13  tff(f45075,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : num,X1 : num] : (aa(num,X0,numeral_numeral(X0),X2) = iG382(X0,X1,X2) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(num,X0,numeral_numeral(X0),X2)),aa(num,X0,numeral_numeral(X0),X1)))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26231])).
% 8.48/2.13  tff(f45072,plain,(
% 8.48/2.13    ( ! [X3 : $tType,X4 : num,X5 : num] : (aa(X3,X3,uminus_uminus(X3),aa(num,X3,numeral_numeral(X3),X4)) = iG383(X3,X4,X5) | ($true != aa(X3,$o,aa(X3,fun(X3,$o),ord_less_eq(X3),aa(num,X3,numeral_numeral(X3),X5)),aa(X3,X3,uminus_uminus(X3),aa(num,X3,numeral_numeral(X3),X4))))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26230])).
% 8.48/2.13  tff(f26230,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : num,X2 : num] : (aa(num,X0,numeral_numeral(X0),X2) = iG383(X0,X1,X2) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(num,X0,numeral_numeral(X0),X2)),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X1))))) & ! [X3 : $tType,X4 : num,X5 : num] : (aa(X3,X3,uminus_uminus(X3),aa(num,X3,numeral_numeral(X3),X4)) = iG383(X3,X4,X5) | ($true != aa(X3,$o,aa(X3,fun(X3,$o),ord_less_eq(X3),aa(num,X3,numeral_numeral(X3),X5)),aa(X3,X3,uminus_uminus(X3),aa(num,X3,numeral_numeral(X3),X4)))))),
% 8.48/2.13    inference(ennf_transformation,[],[f20642])).
% 8.48/2.13  tff(f20642,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : num,X2 : num] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(num,X0,numeral_numeral(X0),X2)),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X1)))) => aa(num,X0,numeral_numeral(X0),X2) = iG383(X0,X1,X2)) & ! [X3 : $tType,X4 : num,X5 : num] : (($true = aa(X3,$o,aa(X3,fun(X3,$o),ord_less_eq(X3),aa(num,X3,numeral_numeral(X3),X5)),aa(X3,X3,uminus_uminus(X3),aa(num,X3,numeral_numeral(X3),X4)))) => aa(X3,X3,uminus_uminus(X3),aa(num,X3,numeral_numeral(X3),X4)) = iG383(X3,X4,X5))),
% 8.48/2.13    inference(flattening,[],[f20641])).
% 8.48/2.13  tff(f20641,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : num,X2 : num] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(num,X0,numeral_numeral(X0),X2)),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X1)))) => aa(num,X0,numeral_numeral(X0),X2) = iG383(X0,X1,X2)) & ! [X3 : $tType,X4 : num,X5 : num] : (($true = aa(X3,$o,aa(X3,fun(X3,$o),ord_less_eq(X3),aa(num,X3,numeral_numeral(X3),X5)),aa(X3,X3,uminus_uminus(X3),aa(num,X3,numeral_numeral(X3),X4)))) => aa(X3,X3,uminus_uminus(X3),aa(num,X3,numeral_numeral(X3),X4)) = iG383(X3,X4,X5))),
% 8.48/2.13    inference(rectify,[],[f13764])).
% 8.48/2.13  tff(f13764,plain,(
% 8.48/2.13    ! [X0 : $tType,X2 : num,X1 : num] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(num,X0,numeral_numeral(X0),X1)),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X2)))) => aa(num,X0,numeral_numeral(X0),X1) = iG383(X0,X2,X1)) & ! [X0 : $tType,X2 : num,X1 : num] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(num,X0,numeral_numeral(X0),X1)),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X2)))) => aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X2)) = iG383(X0,X2,X1))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG383])])).
% 8.48/2.13  tff(f45073,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : num,X1 : num] : (aa(num,X0,numeral_numeral(X0),X2) = iG383(X0,X1,X2) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(num,X0,numeral_numeral(X0),X2)),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X1))))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26230])).
% 8.48/2.13  tff(f45070,plain,(
% 8.48/2.13    ( ! [X3 : $tType,X4 : num,X5 : num] : (aa(num,X3,numeral_numeral(X3),X4) = iG384(X3,X4,X5) | ($true != aa(X3,$o,aa(X3,fun(X3,$o),ord_less_eq(X3),aa(X3,X3,uminus_uminus(X3),aa(num,X3,numeral_numeral(X3),X5))),aa(num,X3,numeral_numeral(X3),X4)))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26229])).
% 8.48/2.13  tff(f26229,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : num,X2 : num] : (aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X2)) = iG384(X0,X1,X2) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X2))),aa(num,X0,numeral_numeral(X0),X1)))) & ! [X3 : $tType,X4 : num,X5 : num] : (aa(num,X3,numeral_numeral(X3),X4) = iG384(X3,X4,X5) | ($true != aa(X3,$o,aa(X3,fun(X3,$o),ord_less_eq(X3),aa(X3,X3,uminus_uminus(X3),aa(num,X3,numeral_numeral(X3),X5))),aa(num,X3,numeral_numeral(X3),X4))))),
% 8.48/2.13    inference(ennf_transformation,[],[f20640])).
% 8.48/2.13  tff(f20640,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : num,X2 : num] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X2))),aa(num,X0,numeral_numeral(X0),X1))) => aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X2)) = iG384(X0,X1,X2)) & ! [X3 : $tType,X4 : num,X5 : num] : (($true = aa(X3,$o,aa(X3,fun(X3,$o),ord_less_eq(X3),aa(X3,X3,uminus_uminus(X3),aa(num,X3,numeral_numeral(X3),X5))),aa(num,X3,numeral_numeral(X3),X4))) => aa(num,X3,numeral_numeral(X3),X4) = iG384(X3,X4,X5))),
% 8.48/2.13    inference(flattening,[],[f20639])).
% 8.48/2.13  tff(f20639,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : num,X2 : num] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X2))),aa(num,X0,numeral_numeral(X0),X1))) => aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X2)) = iG384(X0,X1,X2)) & ! [X3 : $tType,X4 : num,X5 : num] : (($true = aa(X3,$o,aa(X3,fun(X3,$o),ord_less_eq(X3),aa(X3,X3,uminus_uminus(X3),aa(num,X3,numeral_numeral(X3),X5))),aa(num,X3,numeral_numeral(X3),X4))) => aa(num,X3,numeral_numeral(X3),X4) = iG384(X3,X4,X5))),
% 8.48/2.13    inference(rectify,[],[f13767])).
% 8.48/2.13  tff(f13767,plain,(
% 8.48/2.13    ! [X0 : $tType,X2 : num,X1 : num] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X1))),aa(num,X0,numeral_numeral(X0),X2))) => aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X1)) = iG384(X0,X2,X1)) & ! [X0 : $tType,X2 : num,X1 : num] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X1))),aa(num,X0,numeral_numeral(X0),X2))) => aa(num,X0,numeral_numeral(X0),X2) = iG384(X0,X2,X1))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG384])])).
% 8.48/2.13  tff(f45071,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : num,X1 : num] : (aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X2)) = iG384(X0,X1,X2) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X2))),aa(num,X0,numeral_numeral(X0),X1)))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26229])).
% 8.48/2.13  tff(f45068,plain,(
% 8.48/2.13    ( ! [X3 : $tType,X4 : num,X5 : num] : (aa(X3,X3,uminus_uminus(X3),aa(num,X3,numeral_numeral(X3),X4)) = iG385(X3,X4,X5) | ($true != aa(X3,$o,aa(X3,fun(X3,$o),ord_less_eq(X3),aa(X3,X3,uminus_uminus(X3),aa(num,X3,numeral_numeral(X3),X5))),aa(X3,X3,uminus_uminus(X3),aa(num,X3,numeral_numeral(X3),X4))))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26228])).
% 8.48/2.13  tff(f26228,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : num,X2 : num] : (aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X2)) = iG385(X0,X1,X2) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X2))),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X1))))) & ! [X3 : $tType,X4 : num,X5 : num] : (aa(X3,X3,uminus_uminus(X3),aa(num,X3,numeral_numeral(X3),X4)) = iG385(X3,X4,X5) | ($true != aa(X3,$o,aa(X3,fun(X3,$o),ord_less_eq(X3),aa(X3,X3,uminus_uminus(X3),aa(num,X3,numeral_numeral(X3),X5))),aa(X3,X3,uminus_uminus(X3),aa(num,X3,numeral_numeral(X3),X4)))))),
% 8.48/2.13    inference(ennf_transformation,[],[f20638])).
% 8.48/2.13  tff(f20638,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : num,X2 : num] : (($true != aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X2))),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X1)))) => aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X2)) = iG385(X0,X1,X2)) & ! [X3 : $tType,X4 : num,X5 : num] : (($true = aa(X3,$o,aa(X3,fun(X3,$o),ord_less_eq(X3),aa(X3,X3,uminus_uminus(X3),aa(num,X3,numeral_numeral(X3),X5))),aa(X3,X3,uminus_uminus(X3),aa(num,X3,numeral_numeral(X3),X4)))) => aa(X3,X3,uminus_uminus(X3),aa(num,X3,numeral_numeral(X3),X4)) = iG385(X3,X4,X5))),
% 8.48/2.13    inference(flattening,[],[f20637])).
% 8.48/2.13  tff(f20637,plain,(
% 8.48/2.13    ! [X0 : $tType,X1 : num,X2 : num] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X2))),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X1)))) => aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X2)) = iG385(X0,X1,X2)) & ! [X3 : $tType,X4 : num,X5 : num] : (($true = aa(X3,$o,aa(X3,fun(X3,$o),ord_less_eq(X3),aa(X3,X3,uminus_uminus(X3),aa(num,X3,numeral_numeral(X3),X5))),aa(X3,X3,uminus_uminus(X3),aa(num,X3,numeral_numeral(X3),X4)))) => aa(X3,X3,uminus_uminus(X3),aa(num,X3,numeral_numeral(X3),X4)) = iG385(X3,X4,X5))),
% 8.48/2.13    inference(rectify,[],[f13770])).
% 8.48/2.13  tff(f13770,plain,(
% 8.48/2.13    ! [X0 : $tType,X2 : num,X1 : num] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X1))),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X2)))) => aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X1)) = iG385(X0,X2,X1)) & ! [X0 : $tType,X2 : num,X1 : num] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X1))),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X2)))) => aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X2)) = iG385(X0,X2,X1))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG385])])).
% 8.48/2.13  tff(f45069,plain,(
% 8.48/2.13    ( ! [X0 : $tType,X2 : num,X1 : num] : (aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X2)) = iG385(X0,X1,X2) | ($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X2))),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X1))))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26228])).
% 8.48/2.13  tff(f61512,plain,(
% 8.48/2.13    ($true = bG386($true))),
% 8.48/2.13    inference(equality_resolution,[],[f45066])).
% 8.48/2.13  tff(f45066,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = bG386(X0)) | ($true != X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36387])).
% 8.48/2.13  tff(f36387,plain,(
% 8.48/2.13    ! [X0 : $o] : ((($true = X0) | ($true != bG386(X0))) & (($true = bG386(X0)) | ($true != X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20636])).
% 8.48/2.13  tff(f20636,plain,(
% 8.48/2.13    ! [X0 : $o] : (($true = X0) <=> ($true = bG386(X0)))),
% 8.48/2.13    inference(rectify,[],[f13797])).
% 8.48/2.13  tff(f13797,plain,(
% 8.48/2.13    ! [X1 : $o] : (($true = X1) <=> ($true = bG386(X1)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG386])])).
% 8.48/2.13  tff(f45067,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = X0) | ($true != bG386(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36387])).
% 8.48/2.13  tff(f61511,plain,(
% 8.48/2.13    ($true = bG387($true))),
% 8.48/2.13    inference(equality_resolution,[],[f45064])).
% 8.48/2.13  tff(f45064,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = bG387(X0)) | ($true != X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36386])).
% 8.48/2.13  tff(f36386,plain,(
% 8.48/2.13    ! [X0 : $o] : ((($true = X0) | ($true != bG387(X0))) & (($true = bG387(X0)) | ($true != X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20635])).
% 8.48/2.13  tff(f20635,plain,(
% 8.48/2.13    ! [X0 : $o] : (($true = X0) <=> ($true = bG387(X0)))),
% 8.48/2.13    inference(rectify,[],[f13798])).
% 8.48/2.13  tff(f13798,plain,(
% 8.48/2.13    ! [X2 : $o] : (($true = X2) <=> ($true = bG387(X2)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG387])])).
% 8.48/2.13  tff(f45065,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = X0) | ($true != bG387(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36386])).
% 8.48/2.13  tff(f61510,plain,(
% 8.48/2.13    ($true = bG388($true))),
% 8.48/2.13    inference(equality_resolution,[],[f45062])).
% 8.48/2.13  tff(f45062,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = bG388(X0)) | ($true != X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36385])).
% 8.48/2.13  tff(f36385,plain,(
% 8.48/2.13    ! [X0 : $o] : ((($true = X0) | ($true != bG388(X0))) & (($true = bG388(X0)) | ($true != X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20634])).
% 8.48/2.13  tff(f20634,plain,(
% 8.48/2.13    ! [X0 : $o] : (($true = X0) <=> ($true = bG388(X0)))),
% 8.48/2.13    inference(rectify,[],[f13801])).
% 8.48/2.13  tff(f13801,plain,(
% 8.48/2.13    ! [X1 : $o] : (($true = X1) <=> ($true = bG388(X1)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG388])])).
% 8.48/2.13  tff(f45063,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = X0) | ($true != bG388(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36385])).
% 8.48/2.13  tff(f61509,plain,(
% 8.48/2.13    ($true = bG389($true))),
% 8.48/2.13    inference(equality_resolution,[],[f45060])).
% 8.48/2.13  tff(f45060,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = bG389(X0)) | ($true != X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36384])).
% 8.48/2.13  tff(f36384,plain,(
% 8.48/2.13    ! [X0 : $o] : ((($true = X0) | ($true != bG389(X0))) & (($true = bG389(X0)) | ($true != X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20633])).
% 8.48/2.13  tff(f20633,plain,(
% 8.48/2.13    ! [X0 : $o] : (($true = X0) <=> ($true = bG389(X0)))),
% 8.48/2.13    inference(rectify,[],[f13802])).
% 8.48/2.13  tff(f13802,plain,(
% 8.48/2.13    ! [X2 : $o] : (($true = X2) <=> ($true = bG389(X2)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG389])])).
% 8.48/2.13  tff(f45061,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = X0) | ($true != bG389(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36384])).
% 8.48/2.13  tff(f61508,plain,(
% 8.48/2.13    ($true = bG390($true))),
% 8.48/2.13    inference(equality_resolution,[],[f45058])).
% 8.48/2.13  tff(f45058,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = bG390(X0)) | ($true != X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36383])).
% 8.48/2.13  tff(f36383,plain,(
% 8.48/2.13    ! [X0 : $o] : ((($true = X0) | ($true != bG390(X0))) & (($true = bG390(X0)) | ($true != X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20632])).
% 8.48/2.13  tff(f20632,plain,(
% 8.48/2.13    ! [X0 : $o] : (($true = X0) <=> ($true = bG390(X0)))),
% 8.48/2.13    inference(rectify,[],[f13803])).
% 8.48/2.13  tff(f13803,plain,(
% 8.48/2.13    ! [X3 : $o] : (($true = X3) <=> ($true = bG390(X3)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG390])])).
% 8.48/2.13  tff(f45059,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = X0) | ($true != bG390(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36383])).
% 8.48/2.13  tff(f61507,plain,(
% 8.48/2.13    ($true = bG391($true))),
% 8.48/2.13    inference(equality_resolution,[],[f45056])).
% 8.48/2.13  tff(f45056,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = bG391(X0)) | ($true != X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36382])).
% 8.48/2.13  tff(f36382,plain,(
% 8.48/2.13    ! [X0 : $o] : ((($true = X0) | ($true != bG391(X0))) & (($true = bG391(X0)) | ($true != X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20631])).
% 8.48/2.13  tff(f20631,plain,(
% 8.48/2.13    ! [X0 : $o] : (($true = X0) <=> ($true = bG391(X0)))),
% 8.48/2.13    inference(rectify,[],[f13804])).
% 8.48/2.13  tff(f13804,plain,(
% 8.48/2.13    ! [X4 : $o] : (($true = X4) <=> ($true = bG391(X4)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG391])])).
% 8.48/2.13  tff(f45057,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = X0) | ($true != bG391(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36382])).
% 8.48/2.13  tff(f61506,plain,(
% 8.48/2.13    ($true = bG392($true))),
% 8.48/2.13    inference(equality_resolution,[],[f45054])).
% 8.48/2.13  tff(f45054,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = bG392(X0)) | ($true != X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36381])).
% 8.48/2.13  tff(f36381,plain,(
% 8.48/2.13    ! [X0 : $o] : ((($true = X0) | ($true != bG392(X0))) & (($true = bG392(X0)) | ($true != X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20630])).
% 8.48/2.13  tff(f20630,plain,(
% 8.48/2.13    ! [X0 : $o] : (($true = X0) <=> ($true = bG392(X0)))),
% 8.48/2.13    inference(rectify,[],[f13805])).
% 8.48/2.13  tff(f13805,plain,(
% 8.48/2.13    ! [X5 : $o] : (($true = X5) <=> ($true = bG392(X5)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG392])])).
% 8.48/2.13  tff(f45055,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = X0) | ($true != bG392(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36381])).
% 8.48/2.13  tff(f61505,plain,(
% 8.48/2.13    ($true = bG393($true))),
% 8.48/2.13    inference(equality_resolution,[],[f45052])).
% 8.48/2.13  tff(f45052,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = bG393(X0)) | ($true != X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36380])).
% 8.48/2.13  tff(f36380,plain,(
% 8.48/2.13    ! [X0 : $o] : ((($true = X0) | ($true != bG393(X0))) & (($true = bG393(X0)) | ($true != X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20629])).
% 8.48/2.13  tff(f20629,plain,(
% 8.48/2.13    ! [X0 : $o] : (($true = X0) <=> ($true = bG393(X0)))),
% 8.48/2.13    inference(rectify,[],[f13806])).
% 8.48/2.13  tff(f13806,plain,(
% 8.48/2.13    ! [X6 : $o] : (($true = X6) <=> ($true = bG393(X6)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG393])])).
% 8.48/2.13  tff(f45053,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = X0) | ($true != bG393(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36380])).
% 8.48/2.13  tff(f61504,plain,(
% 8.48/2.13    ($true = bG394($true))),
% 8.48/2.13    inference(equality_resolution,[],[f45050])).
% 8.48/2.13  tff(f45050,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = bG394(X0)) | ($true != X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36379])).
% 8.48/2.13  tff(f36379,plain,(
% 8.48/2.13    ! [X0 : $o] : ((($true = X0) | ($true != bG394(X0))) & (($true = bG394(X0)) | ($true != X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20628])).
% 8.48/2.13  tff(f20628,plain,(
% 8.48/2.13    ! [X0 : $o] : (($true = X0) <=> ($true = bG394(X0)))),
% 8.48/2.13    inference(rectify,[],[f13809])).
% 8.48/2.13  tff(f13809,plain,(
% 8.48/2.13    ! [X1 : $o] : (($true = X1) <=> ($true = bG394(X1)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG394])])).
% 8.48/2.13  tff(f45051,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = X0) | ($true != bG394(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36379])).
% 8.48/2.13  tff(f61503,plain,(
% 8.48/2.13    ($true = bG395($true))),
% 8.48/2.13    inference(equality_resolution,[],[f45048])).
% 8.48/2.13  tff(f45048,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = bG395(X0)) | ($true != X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36378])).
% 8.48/2.13  tff(f36378,plain,(
% 8.48/2.13    ! [X0 : $o] : ((($true = X0) | ($true != bG395(X0))) & (($true = bG395(X0)) | ($true != X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20627])).
% 8.48/2.13  tff(f20627,plain,(
% 8.48/2.13    ! [X0 : $o] : (($true = X0) <=> ($true = bG395(X0)))),
% 8.48/2.13    inference(rectify,[],[f13810])).
% 8.48/2.13  tff(f13810,plain,(
% 8.48/2.13    ! [X2 : $o] : (($true = X2) <=> ($true = bG395(X2)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG395])])).
% 8.48/2.13  tff(f45049,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = X0) | ($true != bG395(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36378])).
% 8.48/2.13  tff(f61502,plain,(
% 8.48/2.13    ($true = bG396($true))),
% 8.48/2.13    inference(equality_resolution,[],[f45046])).
% 8.48/2.13  tff(f45046,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = bG396(X0)) | ($true != X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36377])).
% 8.48/2.13  tff(f36377,plain,(
% 8.48/2.13    ! [X0 : $o] : ((($true = X0) | ($true != bG396(X0))) & (($true = bG396(X0)) | ($true != X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20626])).
% 8.48/2.13  tff(f20626,plain,(
% 8.48/2.13    ! [X0 : $o] : (($true = X0) <=> ($true = bG396(X0)))),
% 8.48/2.13    inference(rectify,[],[f13813])).
% 8.48/2.13  tff(f13813,plain,(
% 8.48/2.13    ! [X1 : $o] : (($true = X1) <=> ($true = bG396(X1)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG396])])).
% 8.48/2.13  tff(f45047,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = X0) | ($true != bG396(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36377])).
% 8.48/2.13  tff(f61501,plain,(
% 8.48/2.13    ($true = bG397($true))),
% 8.48/2.13    inference(equality_resolution,[],[f45044])).
% 8.48/2.13  tff(f45044,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = bG397(X0)) | ($true != X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36376])).
% 8.48/2.13  tff(f36376,plain,(
% 8.48/2.13    ! [X0 : $o] : ((($true = X0) | ($true != bG397(X0))) & (($true = bG397(X0)) | ($true != X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20625])).
% 8.48/2.13  tff(f20625,plain,(
% 8.48/2.13    ! [X0 : $o] : (($true = X0) <=> ($true = bG397(X0)))),
% 8.48/2.13    inference(rectify,[],[f13814])).
% 8.48/2.13  tff(f13814,plain,(
% 8.48/2.13    ! [X2 : $o] : (($true = X2) <=> ($true = bG397(X2)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG397])])).
% 8.48/2.13  tff(f45045,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = X0) | ($true != bG397(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36376])).
% 8.48/2.13  tff(f61500,plain,(
% 8.48/2.13    ($true = bG398($true))),
% 8.48/2.13    inference(equality_resolution,[],[f45042])).
% 8.48/2.13  tff(f45042,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = bG398(X0)) | ($true != X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36375])).
% 8.48/2.13  tff(f36375,plain,(
% 8.48/2.13    ! [X0 : $o] : ((($true = X0) | ($true != bG398(X0))) & (($true = bG398(X0)) | ($true != X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20624])).
% 8.48/2.13  tff(f20624,plain,(
% 8.48/2.13    ! [X0 : $o] : (($true = X0) <=> ($true = bG398(X0)))),
% 8.48/2.13    inference(rectify,[],[f13817])).
% 8.48/2.13  tff(f13817,plain,(
% 8.48/2.13    ! [X1 : $o] : (($true = X1) <=> ($true = bG398(X1)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG398])])).
% 8.48/2.13  tff(f45043,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = X0) | ($true != bG398(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36375])).
% 8.48/2.13  tff(f61499,plain,(
% 8.48/2.13    ($true = bG399($true))),
% 8.48/2.13    inference(equality_resolution,[],[f45040])).
% 8.48/2.13  tff(f45040,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = bG399(X0)) | ($true != X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36374])).
% 8.48/2.13  tff(f36374,plain,(
% 8.48/2.13    ! [X0 : $o] : ((($true = X0) | ($true != bG399(X0))) & (($true = bG399(X0)) | ($true != X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20623])).
% 8.48/2.13  tff(f20623,plain,(
% 8.48/2.13    ! [X0 : $o] : (($true = X0) <=> ($true = bG399(X0)))),
% 8.48/2.13    inference(rectify,[],[f13818])).
% 8.48/2.13  tff(f13818,plain,(
% 8.48/2.13    ! [X2 : $o] : (($true = X2) <=> ($true = bG399(X2)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG399])])).
% 8.48/2.13  tff(f45041,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = X0) | ($true != bG399(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36374])).
% 8.48/2.13  tff(f61498,plain,(
% 8.48/2.13    ($true = bG400($true))),
% 8.48/2.13    inference(equality_resolution,[],[f45038])).
% 8.48/2.13  tff(f45038,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = bG400(X0)) | ($true != X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36373])).
% 8.48/2.13  tff(f36373,plain,(
% 8.48/2.13    ! [X0 : $o] : ((($true = X0) | ($true != bG400(X0))) & (($true = bG400(X0)) | ($true != X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20622])).
% 8.48/2.13  tff(f20622,plain,(
% 8.48/2.13    ! [X0 : $o] : (($true = X0) <=> ($true = bG400(X0)))),
% 8.48/2.13    inference(rectify,[],[f13821])).
% 8.48/2.13  tff(f13821,plain,(
% 8.48/2.13    ! [X1 : $o] : (($true = X1) <=> ($true = bG400(X1)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG400])])).
% 8.48/2.13  tff(f45039,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = X0) | ($true != bG400(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36373])).
% 8.48/2.13  tff(f61497,plain,(
% 8.48/2.13    ($true = bG401($true))),
% 8.48/2.13    inference(equality_resolution,[],[f45036])).
% 8.48/2.13  tff(f45036,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = bG401(X0)) | ($true != X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36372])).
% 8.48/2.13  tff(f36372,plain,(
% 8.48/2.13    ! [X0 : $o] : ((($true = X0) | ($true != bG401(X0))) & (($true = bG401(X0)) | ($true != X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20621])).
% 8.48/2.13  tff(f20621,plain,(
% 8.48/2.13    ! [X0 : $o] : (($true = X0) <=> ($true = bG401(X0)))),
% 8.48/2.13    inference(rectify,[],[f13822])).
% 8.48/2.13  tff(f13822,plain,(
% 8.48/2.13    ! [X2 : $o] : (($true = X2) <=> ($true = bG401(X2)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG401])])).
% 8.48/2.13  tff(f45037,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = X0) | ($true != bG401(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36372])).
% 8.48/2.13  tff(f61496,plain,(
% 8.48/2.13    ($true = bG402($true))),
% 8.48/2.13    inference(equality_resolution,[],[f45034])).
% 8.48/2.13  tff(f45034,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = bG402(X0)) | ($true != X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36371])).
% 8.48/2.13  tff(f36371,plain,(
% 8.48/2.13    ! [X0 : $o] : ((($true = X0) | ($true != bG402(X0))) & (($true = bG402(X0)) | ($true != X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20620])).
% 8.48/2.13  tff(f20620,plain,(
% 8.48/2.13    ! [X0 : $o] : (($true = X0) <=> ($true = bG402(X0)))),
% 8.48/2.13    inference(rectify,[],[f13825])).
% 8.48/2.13  tff(f13825,plain,(
% 8.48/2.13    ! [X1 : $o] : (($true = X1) <=> ($true = bG402(X1)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG402])])).
% 8.48/2.13  tff(f45035,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = X0) | ($true != bG402(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36371])).
% 8.48/2.13  tff(f61495,plain,(
% 8.48/2.13    ($true = bG403($true))),
% 8.48/2.13    inference(equality_resolution,[],[f45032])).
% 8.48/2.13  tff(f45032,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = bG403(X0)) | ($true != X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36370])).
% 8.48/2.13  tff(f36370,plain,(
% 8.48/2.13    ! [X0 : $o] : ((($true = X0) | ($true != bG403(X0))) & (($true = bG403(X0)) | ($true != X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20619])).
% 8.48/2.13  tff(f20619,plain,(
% 8.48/2.13    ! [X0 : $o] : (($true = X0) <=> ($true = bG403(X0)))),
% 8.48/2.13    inference(rectify,[],[f13826])).
% 8.48/2.13  tff(f13826,plain,(
% 8.48/2.13    ! [X2 : $o] : (($true = X2) <=> ($true = bG403(X2)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG403])])).
% 8.48/2.13  tff(f45033,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = X0) | ($true != bG403(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36370])).
% 8.48/2.13  tff(f61494,plain,(
% 8.48/2.13    ($true = bG404($true))),
% 8.48/2.13    inference(equality_resolution,[],[f45030])).
% 8.48/2.13  tff(f45030,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = bG404(X0)) | ($true != X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36369])).
% 8.48/2.13  tff(f36369,plain,(
% 8.48/2.13    ! [X0 : $o] : ((($true = X0) | ($true != bG404(X0))) & (($true = bG404(X0)) | ($true != X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20618])).
% 8.48/2.13  tff(f20618,plain,(
% 8.48/2.13    ! [X0 : $o] : (($true = X0) <=> ($true = bG404(X0)))),
% 8.48/2.13    inference(rectify,[],[f13829])).
% 8.48/2.13  tff(f13829,plain,(
% 8.48/2.13    ! [X5 : $o] : (($true = X5) <=> ($true = bG404(X5)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG404])])).
% 8.48/2.13  tff(f45031,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = X0) | ($true != bG404(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36369])).
% 8.48/2.13  tff(f61493,plain,(
% 8.48/2.13    ($true = bG405($true))),
% 8.48/2.13    inference(equality_resolution,[],[f45028])).
% 8.48/2.13  tff(f45028,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = bG405(X0)) | ($true != X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36368])).
% 8.48/2.13  tff(f36368,plain,(
% 8.48/2.13    ! [X0 : $o] : ((($true = X0) | ($true != bG405(X0))) & (($true = bG405(X0)) | ($true != X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20617])).
% 8.48/2.13  tff(f20617,plain,(
% 8.48/2.13    ! [X0 : $o] : (($true = X0) <=> ($true = bG405(X0)))),
% 8.48/2.13    inference(rectify,[],[f13830])).
% 8.48/2.13  tff(f13830,plain,(
% 8.48/2.13    ! [X6 : $o] : (($true = X6) <=> ($true = bG405(X6)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG405])])).
% 8.48/2.13  tff(f45029,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = X0) | ($true != bG405(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36368])).
% 8.48/2.13  tff(f61492,plain,(
% 8.48/2.13    ($true = bG406($true))),
% 8.48/2.13    inference(equality_resolution,[],[f45026])).
% 8.48/2.13  tff(f45026,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = bG406(X0)) | ($true != X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36367])).
% 8.48/2.13  tff(f36367,plain,(
% 8.48/2.13    ! [X0 : $o] : ((($true = X0) | ($true != bG406(X0))) & (($true = bG406(X0)) | ($true != X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20616])).
% 8.48/2.13  tff(f20616,plain,(
% 8.48/2.13    ! [X0 : $o] : (($true = X0) <=> ($true = bG406(X0)))),
% 8.48/2.13    inference(rectify,[],[f14225])).
% 8.48/2.13  tff(f14225,plain,(
% 8.48/2.13    ! [X1 : $o] : (($true = X1) <=> ($true = bG406(X1)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG406])])).
% 8.48/2.13  tff(f45027,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = X0) | ($true != bG406(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36367])).
% 8.48/2.13  tff(f61491,plain,(
% 8.48/2.13    ($true = bG407($true))),
% 8.48/2.13    inference(equality_resolution,[],[f45024])).
% 8.48/2.13  tff(f45024,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = bG407(X0)) | ($true != X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36366])).
% 8.48/2.13  tff(f36366,plain,(
% 8.48/2.13    ! [X0 : $o] : ((($true = X0) | ($true != bG407(X0))) & (($true = bG407(X0)) | ($true != X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20615])).
% 8.48/2.13  tff(f20615,plain,(
% 8.48/2.13    ! [X0 : $o] : (($true = X0) <=> ($true = bG407(X0)))),
% 8.48/2.13    inference(rectify,[],[f14226])).
% 8.48/2.13  tff(f14226,plain,(
% 8.48/2.13    ! [X2 : $o] : (($true = X2) <=> ($true = bG407(X2)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG407])])).
% 8.48/2.13  tff(f45025,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = X0) | ($true != bG407(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36366])).
% 8.48/2.13  tff(f61490,plain,(
% 8.48/2.13    ($true = bG408($true))),
% 8.48/2.13    inference(equality_resolution,[],[f45022])).
% 8.48/2.13  tff(f45022,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = bG408(X0)) | ($true != X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36365])).
% 8.48/2.13  tff(f36365,plain,(
% 8.48/2.13    ! [X0 : $o] : ((($true = X0) | ($true != bG408(X0))) & (($true = bG408(X0)) | ($true != X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f14503])).
% 8.48/2.13  tff(f14503,plain,(
% 8.48/2.13    ! [X0 : $o] : (($true = X0) <=> ($true = bG408(X0)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG408])])).
% 8.48/2.13  tff(f45023,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = X0) | ($true != bG408(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36365])).
% 8.48/2.13  tff(f61489,plain,(
% 8.48/2.13    ($true = bG409($true))),
% 8.48/2.13    inference(equality_resolution,[],[f45020])).
% 8.48/2.13  tff(f45020,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = bG409(X0)) | ($true != X0)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36364])).
% 8.48/2.13  tff(f36364,plain,(
% 8.48/2.13    ! [X0 : $o] : ((($true = X0) | ($true != bG409(X0))) & (($true = bG409(X0)) | ($true != X0)))),
% 8.48/2.13    inference(nnf_transformation,[],[f20614])).
% 8.48/2.13  tff(f20614,plain,(
% 8.48/2.13    ! [X0 : $o] : (($true = X0) <=> ($true = bG409(X0)))),
% 8.48/2.13    inference(rectify,[],[f14504])).
% 8.48/2.13  tff(f14504,plain,(
% 8.48/2.13    ! [X1 : $o] : (($true = X1) <=> ($true = bG409(X1)))),
% 8.48/2.13    introduced(fool_formula_definition,[new_symbols(definition,[bG409])])).
% 8.48/2.13  tff(f45021,plain,(
% 8.48/2.13    ( ! [X0 : $o] : (($true = X0) | ($true != bG409(X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f36364])).
% 8.48/2.13  tff(f45018,plain,(
% 8.48/2.13    ( ! [X2 : code_integer,X3 : code_integer] : (code_divmod_abs(X3,X2) = iG410(X2,X3) | aa(code_integer,code_integer,sgn_sgn(code_integer),X3) != aa(code_integer,code_integer,sgn_sgn(code_integer),X2)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26227])).
% 8.48/2.13  tff(f26227,plain,(
% 8.48/2.13    ! [X0 : code_integer,X1 : code_integer] : (iG410(X0,X1) = aa(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer),aa(fun(code_integer,fun(code_integer,product_prod(code_integer,code_integer))),fun(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer)),product_case_prod(code_integer,code_integer,product_prod(code_integer,code_integer)),aTP_Lamp_mo(code_integer,fun(code_integer,fun(code_integer,product_prod(code_integer,code_integer))),X0)),code_divmod_abs(X1,X0)) | aa(code_integer,code_integer,sgn_sgn(code_integer),X0) = aa(code_integer,code_integer,sgn_sgn(code_integer),X1)) & ! [X2 : code_integer,X3 : code_integer] : (code_divmod_abs(X3,X2) = iG410(X2,X3) | aa(code_integer,code_integer,sgn_sgn(code_integer),X3) != aa(code_integer,code_integer,sgn_sgn(code_integer),X2))),
% 8.48/2.13    inference(ennf_transformation,[],[f20613])).
% 8.48/2.13  tff(f20613,plain,(
% 8.48/2.13    ! [X0 : code_integer,X1 : code_integer] : (aa(code_integer,code_integer,sgn_sgn(code_integer),X0) != aa(code_integer,code_integer,sgn_sgn(code_integer),X1) => iG410(X0,X1) = aa(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer),aa(fun(code_integer,fun(code_integer,product_prod(code_integer,code_integer))),fun(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer)),product_case_prod(code_integer,code_integer,product_prod(code_integer,code_integer)),aTP_Lamp_mo(code_integer,fun(code_integer,fun(code_integer,product_prod(code_integer,code_integer))),X0)),code_divmod_abs(X1,X0))) & ! [X2 : code_integer,X3 : code_integer] : (aa(code_integer,code_integer,sgn_sgn(code_integer),X3) = aa(code_integer,code_integer,sgn_sgn(code_integer),X2) => code_divmod_abs(X3,X2) = iG410(X2,X3))),
% 8.48/2.13    inference(flattening,[],[f20612])).
% 8.48/2.13  tff(f20612,plain,(
% 8.48/2.13    ! [X0 : code_integer,X1 : code_integer] : (~aa(code_integer,code_integer,sgn_sgn(code_integer),X0) = aa(code_integer,code_integer,sgn_sgn(code_integer),X1) => iG410(X0,X1) = aa(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer),aa(fun(code_integer,fun(code_integer,product_prod(code_integer,code_integer))),fun(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer)),product_case_prod(code_integer,code_integer,product_prod(code_integer,code_integer)),aTP_Lamp_mo(code_integer,fun(code_integer,fun(code_integer,product_prod(code_integer,code_integer))),X0)),code_divmod_abs(X1,X0))) & ! [X2 : code_integer,X3 : code_integer] : (aa(code_integer,code_integer,sgn_sgn(code_integer),X3) = aa(code_integer,code_integer,sgn_sgn(code_integer),X2) => code_divmod_abs(X3,X2) = iG410(X2,X3))),
% 8.48/2.13    inference(rectify,[],[f14507])).
% 8.48/2.13  tff(f14507,plain,(
% 8.48/2.13    ! [X1 : code_integer,X0 : code_integer] : (~aa(code_integer,code_integer,sgn_sgn(code_integer),X0) = aa(code_integer,code_integer,sgn_sgn(code_integer),X1) => aa(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer),aa(fun(code_integer,fun(code_integer,product_prod(code_integer,code_integer))),fun(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer)),product_case_prod(code_integer,code_integer,product_prod(code_integer,code_integer)),aTP_Lamp_mo(code_integer,fun(code_integer,fun(code_integer,product_prod(code_integer,code_integer))),X1)),code_divmod_abs(X0,X1)) = iG410(X1,X0)) & ! [X1 : code_integer,X0 : code_integer] : (aa(code_integer,code_integer,sgn_sgn(code_integer),X0) = aa(code_integer,code_integer,sgn_sgn(code_integer),X1) => code_divmod_abs(X0,X1) = iG410(X1,X0))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG410])])).
% 8.48/2.13  tff(f45019,plain,(
% 8.48/2.13    ( ! [X0 : code_integer,X1 : code_integer] : (iG410(X0,X1) = aa(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer),aa(fun(code_integer,fun(code_integer,product_prod(code_integer,code_integer))),fun(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer)),product_case_prod(code_integer,code_integer,product_prod(code_integer,code_integer)),aTP_Lamp_mo(code_integer,fun(code_integer,fun(code_integer,product_prod(code_integer,code_integer))),X0)),code_divmod_abs(X1,X0)) | aa(code_integer,code_integer,sgn_sgn(code_integer),X0) = aa(code_integer,code_integer,sgn_sgn(code_integer),X1)) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26227])).
% 8.48/2.13  tff(f61488,plain,(
% 8.48/2.13    ( ! [X3 : code_integer] : (aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),zero_zero(code_integer)),X3) = iG411(zero_zero(code_integer),X3)) )),
% 8.48/2.13    inference(equality_resolution,[],[f45016])).
% 8.48/2.13  tff(f45016,plain,(
% 8.48/2.13    ( ! [X2 : code_integer,X3 : code_integer] : (aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),zero_zero(code_integer)),X3) = iG411(X2,X3) | zero_zero(code_integer) != X2) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26226])).
% 8.48/2.13  tff(f26226,plain,(
% 8.48/2.13    ! [X0 : code_integer,X1 : code_integer] : (aa(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer),aa(code_integer,fun(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer)),aa(fun(code_integer,code_integer),fun(code_integer,fun(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer))),comp(code_integer,fun(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer)),code_integer,aa(fun(code_integer,fun(code_integer,code_integer)),fun(code_integer,fun(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer))),comp(fun(code_integer,code_integer),fun(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer)),code_integer,product_apsnd(code_integer,code_integer,code_integer)),times_times(code_integer))),sgn_sgn(code_integer)),X0),iG410(X0,X1)) = iG411(X0,X1) | zero_zero(code_integer) = X0) & ! [X2 : code_integer,X3 : code_integer] : (aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),zero_zero(code_integer)),X3) = iG411(X2,X3) | zero_zero(code_integer) != X2)),
% 8.48/2.13    inference(ennf_transformation,[],[f20611])).
% 8.48/2.13  tff(f20611,plain,(
% 8.48/2.13    ! [X0 : code_integer,X1 : code_integer] : (zero_zero(code_integer) != X0 => aa(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer),aa(code_integer,fun(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer)),aa(fun(code_integer,code_integer),fun(code_integer,fun(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer))),comp(code_integer,fun(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer)),code_integer,aa(fun(code_integer,fun(code_integer,code_integer)),fun(code_integer,fun(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer))),comp(fun(code_integer,code_integer),fun(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer)),code_integer,product_apsnd(code_integer,code_integer,code_integer)),times_times(code_integer))),sgn_sgn(code_integer)),X0),iG410(X0,X1)) = iG411(X0,X1)) & ! [X2 : code_integer,X3 : code_integer] : (zero_zero(code_integer) = X2 => aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),zero_zero(code_integer)),X3) = iG411(X2,X3))),
% 8.48/2.13    inference(flattening,[],[f20610])).
% 8.48/2.13  tff(f20610,plain,(
% 8.48/2.13    ! [X0 : code_integer,X1 : code_integer] : (~zero_zero(code_integer) = X0 => aa(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer),aa(code_integer,fun(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer)),aa(fun(code_integer,code_integer),fun(code_integer,fun(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer))),comp(code_integer,fun(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer)),code_integer,aa(fun(code_integer,fun(code_integer,code_integer)),fun(code_integer,fun(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer))),comp(fun(code_integer,code_integer),fun(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer)),code_integer,product_apsnd(code_integer,code_integer,code_integer)),times_times(code_integer))),sgn_sgn(code_integer)),X0),iG410(X0,X1)) = iG411(X0,X1)) & ! [X2 : code_integer,X3 : code_integer] : (zero_zero(code_integer) = X2 => aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),zero_zero(code_integer)),X3) = iG411(X2,X3))),
% 8.48/2.13    inference(rectify,[],[f14508])).
% 8.48/2.13  tff(f14508,plain,(
% 8.48/2.13    ! [X1 : code_integer,X0 : code_integer] : (~zero_zero(code_integer) = X1 => aa(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer),aa(code_integer,fun(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer)),aa(fun(code_integer,code_integer),fun(code_integer,fun(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer))),comp(code_integer,fun(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer)),code_integer,aa(fun(code_integer,fun(code_integer,code_integer)),fun(code_integer,fun(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer))),comp(fun(code_integer,code_integer),fun(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer)),code_integer,product_apsnd(code_integer,code_integer,code_integer)),times_times(code_integer))),sgn_sgn(code_integer)),X1),iG410(X1,X0)) = iG411(X1,X0)) & ! [X1 : code_integer,X0 : code_integer] : (zero_zero(code_integer) = X1 => aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),zero_zero(code_integer)),X0) = iG411(X1,X0))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG411])])).
% 8.48/2.13  tff(f45017,plain,(
% 8.48/2.13    ( ! [X0 : code_integer,X1 : code_integer] : (aa(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer),aa(code_integer,fun(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer)),aa(fun(code_integer,code_integer),fun(code_integer,fun(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer))),comp(code_integer,fun(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer)),code_integer,aa(fun(code_integer,fun(code_integer,code_integer)),fun(code_integer,fun(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer))),comp(fun(code_integer,code_integer),fun(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer)),code_integer,product_apsnd(code_integer,code_integer,code_integer)),times_times(code_integer))),sgn_sgn(code_integer)),X0),iG410(X0,X1)) = iG411(X0,X1) | zero_zero(code_integer) = X0) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26226])).
% 8.48/2.13  tff(f61487,plain,(
% 8.48/2.13    ( ! [X3 : code_integer] : (aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),zero_zero(code_integer)),zero_zero(code_integer)) = iG412(zero_zero(code_integer),X3)) )),
% 8.48/2.13    inference(equality_resolution,[],[f45014])).
% 8.48/2.13  tff(f45014,plain,(
% 8.48/2.13    ( ! [X2 : code_integer,X3 : code_integer] : (aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),zero_zero(code_integer)),zero_zero(code_integer)) = iG412(X2,X3) | zero_zero(code_integer) != X2) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26225])).
% 8.48/2.13  tff(f26225,plain,(
% 8.48/2.13    ! [X0 : code_integer,X1 : code_integer] : (iG411(X1,X0) = iG412(X0,X1) | zero_zero(code_integer) = X0) & ! [X2 : code_integer,X3 : code_integer] : (aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),zero_zero(code_integer)),zero_zero(code_integer)) = iG412(X2,X3) | zero_zero(code_integer) != X2)),
% 8.48/2.13    inference(ennf_transformation,[],[f20609])).
% 8.48/2.13  tff(f20609,plain,(
% 8.48/2.13    ! [X0 : code_integer,X1 : code_integer] : (zero_zero(code_integer) != X0 => iG411(X1,X0) = iG412(X0,X1)) & ! [X2 : code_integer,X3 : code_integer] : (zero_zero(code_integer) = X2 => aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),zero_zero(code_integer)),zero_zero(code_integer)) = iG412(X2,X3))),
% 8.48/2.13    inference(flattening,[],[f20608])).
% 8.48/2.13  tff(f20608,plain,(
% 8.48/2.13    ! [X0 : code_integer,X1 : code_integer] : (~zero_zero(code_integer) = X0 => iG411(X1,X0) = iG412(X0,X1)) & ! [X2 : code_integer,X3 : code_integer] : (zero_zero(code_integer) = X2 => aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),zero_zero(code_integer)),zero_zero(code_integer)) = iG412(X2,X3))),
% 8.48/2.13    inference(rectify,[],[f14509])).
% 8.48/2.13  tff(f14509,plain,(
% 8.48/2.13    ! [X0 : code_integer,X1 : code_integer] : (~zero_zero(code_integer) = X0 => iG411(X1,X0) = iG412(X0,X1)) & ! [X0 : code_integer,X1 : code_integer] : (zero_zero(code_integer) = X0 => aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),zero_zero(code_integer)),zero_zero(code_integer)) = iG412(X0,X1))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG412])])).
% 8.48/2.13  tff(f45015,plain,(
% 8.48/2.13    ( ! [X0 : code_integer,X1 : code_integer] : (iG411(X1,X0) = iG412(X0,X1) | zero_zero(code_integer) = X0) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26225])).
% 8.48/2.13  tff(f45012,plain,(
% 8.48/2.13    ( ! [X2 : code_integer,X3 : code_integer] : (code_divmod_abs(X2,X3) = iG413(X2,X3) | ($true != aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),zero_zero(code_integer)),X2))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26224])).
% 8.48/2.13  tff(f26224,plain,(
% 8.48/2.13    ! [X0 : code_integer,X1 : code_integer] : (aa(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer),aa(fun(code_integer,fun(code_integer,product_prod(code_integer,code_integer))),fun(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer)),product_case_prod(code_integer,code_integer,product_prod(code_integer,code_integer)),aTP_Lamp_lp(code_integer,fun(code_integer,fun(code_integer,product_prod(code_integer,code_integer))),X1)),code_divmod_abs(X0,X1)) = iG413(X0,X1) | ($true = aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),zero_zero(code_integer)),X0))) & ! [X2 : code_integer,X3 : code_integer] : (code_divmod_abs(X2,X3) = iG413(X2,X3) | ($true != aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),zero_zero(code_integer)),X2)))),
% 8.48/2.13    inference(ennf_transformation,[],[f20607])).
% 8.48/2.13  tff(f20607,plain,(
% 8.48/2.13    ! [X0 : code_integer,X1 : code_integer] : (($true != aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),zero_zero(code_integer)),X0)) => aa(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer),aa(fun(code_integer,fun(code_integer,product_prod(code_integer,code_integer))),fun(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer)),product_case_prod(code_integer,code_integer,product_prod(code_integer,code_integer)),aTP_Lamp_lp(code_integer,fun(code_integer,fun(code_integer,product_prod(code_integer,code_integer))),X1)),code_divmod_abs(X0,X1)) = iG413(X0,X1)) & ! [X2 : code_integer,X3 : code_integer] : (($true = aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),zero_zero(code_integer)),X2)) => code_divmod_abs(X2,X3) = iG413(X2,X3))),
% 8.48/2.13    inference(flattening,[],[f20606])).
% 8.48/2.13  tff(f20606,plain,(
% 8.48/2.13    ! [X0 : code_integer,X1 : code_integer] : (~($true = aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),zero_zero(code_integer)),X0)) => aa(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer),aa(fun(code_integer,fun(code_integer,product_prod(code_integer,code_integer))),fun(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer)),product_case_prod(code_integer,code_integer,product_prod(code_integer,code_integer)),aTP_Lamp_lp(code_integer,fun(code_integer,fun(code_integer,product_prod(code_integer,code_integer))),X1)),code_divmod_abs(X0,X1)) = iG413(X0,X1)) & ! [X2 : code_integer,X3 : code_integer] : (($true = aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),zero_zero(code_integer)),X2)) => code_divmod_abs(X2,X3) = iG413(X2,X3))),
% 8.48/2.13    inference(rectify,[],[f14512])).
% 8.48/2.13  tff(f14512,plain,(
% 8.48/2.13    ! [X0 : code_integer,X1 : code_integer] : (~($true = aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),zero_zero(code_integer)),X0)) => aa(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer),aa(fun(code_integer,fun(code_integer,product_prod(code_integer,code_integer))),fun(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer)),product_case_prod(code_integer,code_integer,product_prod(code_integer,code_integer)),aTP_Lamp_lp(code_integer,fun(code_integer,fun(code_integer,product_prod(code_integer,code_integer))),X1)),code_divmod_abs(X0,X1)) = iG413(X0,X1)) & ! [X0 : code_integer,X1 : code_integer] : (($true = aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),zero_zero(code_integer)),X0)) => code_divmod_abs(X0,X1) = iG413(X0,X1))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG413])])).
% 8.48/2.13  tff(f45013,plain,(
% 8.48/2.13    ( ! [X0 : code_integer,X1 : code_integer] : (aa(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer),aa(fun(code_integer,fun(code_integer,product_prod(code_integer,code_integer))),fun(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer)),product_case_prod(code_integer,code_integer,product_prod(code_integer,code_integer)),aTP_Lamp_lp(code_integer,fun(code_integer,fun(code_integer,product_prod(code_integer,code_integer))),X1)),code_divmod_abs(X0,X1)) = iG413(X0,X1) | ($true = aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),zero_zero(code_integer)),X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26224])).
% 8.48/2.13  tff(f45010,plain,(
% 8.48/2.13    ( ! [X2 : code_integer,X3 : code_integer] : (code_divmod_abs(X2,X3) = iG414(X2,X3) | ($true != aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),X2),zero_zero(code_integer)))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26223])).
% 8.48/2.13  tff(f26223,plain,(
% 8.48/2.13    ! [X0 : code_integer,X1 : code_integer] : (aa(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer),aa(fun(code_integer,fun(code_integer,product_prod(code_integer,code_integer))),fun(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer)),product_case_prod(code_integer,code_integer,product_prod(code_integer,code_integer)),aTP_Lamp_lq(code_integer,fun(code_integer,fun(code_integer,product_prod(code_integer,code_integer))),X1)),code_divmod_abs(X0,X1)) = iG414(X0,X1) | ($true = aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),X0),zero_zero(code_integer)))) & ! [X2 : code_integer,X3 : code_integer] : (code_divmod_abs(X2,X3) = iG414(X2,X3) | ($true != aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),X2),zero_zero(code_integer))))),
% 8.48/2.13    inference(ennf_transformation,[],[f20605])).
% 8.48/2.13  tff(f20605,plain,(
% 8.48/2.13    ! [X0 : code_integer,X1 : code_integer] : (($true != aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),X0),zero_zero(code_integer))) => aa(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer),aa(fun(code_integer,fun(code_integer,product_prod(code_integer,code_integer))),fun(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer)),product_case_prod(code_integer,code_integer,product_prod(code_integer,code_integer)),aTP_Lamp_lq(code_integer,fun(code_integer,fun(code_integer,product_prod(code_integer,code_integer))),X1)),code_divmod_abs(X0,X1)) = iG414(X0,X1)) & ! [X2 : code_integer,X3 : code_integer] : (($true = aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),X2),zero_zero(code_integer))) => code_divmod_abs(X2,X3) = iG414(X2,X3))),
% 8.48/2.13    inference(flattening,[],[f20604])).
% 8.48/2.13  tff(f20604,plain,(
% 8.48/2.13    ! [X0 : code_integer,X1 : code_integer] : (~($true = aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),X0),zero_zero(code_integer))) => aa(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer),aa(fun(code_integer,fun(code_integer,product_prod(code_integer,code_integer))),fun(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer)),product_case_prod(code_integer,code_integer,product_prod(code_integer,code_integer)),aTP_Lamp_lq(code_integer,fun(code_integer,fun(code_integer,product_prod(code_integer,code_integer))),X1)),code_divmod_abs(X0,X1)) = iG414(X0,X1)) & ! [X2 : code_integer,X3 : code_integer] : (($true = aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),X2),zero_zero(code_integer))) => code_divmod_abs(X2,X3) = iG414(X2,X3))),
% 8.48/2.13    inference(rectify,[],[f14513])).
% 8.48/2.13  tff(f14513,plain,(
% 8.48/2.13    ! [X0 : code_integer,X1 : code_integer] : (~($true = aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),X0),zero_zero(code_integer))) => aa(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer),aa(fun(code_integer,fun(code_integer,product_prod(code_integer,code_integer))),fun(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer)),product_case_prod(code_integer,code_integer,product_prod(code_integer,code_integer)),aTP_Lamp_lq(code_integer,fun(code_integer,fun(code_integer,product_prod(code_integer,code_integer))),X1)),code_divmod_abs(X0,X1)) = iG414(X0,X1)) & ! [X0 : code_integer,X1 : code_integer] : (($true = aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),X0),zero_zero(code_integer))) => code_divmod_abs(X0,X1) = iG414(X0,X1))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG414])])).
% 8.48/2.13  tff(f45011,plain,(
% 8.48/2.13    ( ! [X0 : code_integer,X1 : code_integer] : (aa(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer),aa(fun(code_integer,fun(code_integer,product_prod(code_integer,code_integer))),fun(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer)),product_case_prod(code_integer,code_integer,product_prod(code_integer,code_integer)),aTP_Lamp_lq(code_integer,fun(code_integer,fun(code_integer,product_prod(code_integer,code_integer))),X1)),code_divmod_abs(X0,X1)) = iG414(X0,X1) | ($true = aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),X0),zero_zero(code_integer)))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26223])).
% 8.48/2.13  tff(f61486,plain,(
% 8.48/2.13    ( ! [X3 : code_integer] : (aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),zero_zero(code_integer)),X3) = iG415(zero_zero(code_integer),X3)) )),
% 8.48/2.13    inference(equality_resolution,[],[f45008])).
% 8.48/2.13  tff(f45008,plain,(
% 8.48/2.13    ( ! [X2 : code_integer,X3 : code_integer] : (aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),zero_zero(code_integer)),X3) = iG415(X2,X3) | zero_zero(code_integer) != X2) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26222])).
% 8.48/2.13  tff(f26222,plain,(
% 8.48/2.13    ! [X0 : code_integer,X1 : code_integer] : (iG415(X0,X1) = aa(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer),aa(fun(code_integer,code_integer),fun(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer)),product_apsnd(code_integer,code_integer,code_integer),uminus_uminus(code_integer)),iG414(X1,X0)) | zero_zero(code_integer) = X0) & ! [X2 : code_integer,X3 : code_integer] : (aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),zero_zero(code_integer)),X3) = iG415(X2,X3) | zero_zero(code_integer) != X2)),
% 8.48/2.13    inference(ennf_transformation,[],[f20603])).
% 8.48/2.13  tff(f20603,plain,(
% 8.48/2.13    ! [X0 : code_integer,X1 : code_integer] : (zero_zero(code_integer) != X0 => iG415(X0,X1) = aa(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer),aa(fun(code_integer,code_integer),fun(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer)),product_apsnd(code_integer,code_integer,code_integer),uminus_uminus(code_integer)),iG414(X1,X0))) & ! [X2 : code_integer,X3 : code_integer] : (zero_zero(code_integer) = X2 => aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),zero_zero(code_integer)),X3) = iG415(X2,X3))),
% 8.48/2.13    inference(flattening,[],[f20602])).
% 8.48/2.13  tff(f20602,plain,(
% 8.48/2.13    ! [X0 : code_integer,X1 : code_integer] : (~zero_zero(code_integer) = X0 => iG415(X0,X1) = aa(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer),aa(fun(code_integer,code_integer),fun(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer)),product_apsnd(code_integer,code_integer,code_integer),uminus_uminus(code_integer)),iG414(X1,X0))) & ! [X2 : code_integer,X3 : code_integer] : (zero_zero(code_integer) = X2 => aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),zero_zero(code_integer)),X3) = iG415(X2,X3))),
% 8.48/2.13    inference(rectify,[],[f14514])).
% 8.48/2.13  tff(f14514,plain,(
% 8.48/2.13    ! [X1 : code_integer,X0 : code_integer] : (~zero_zero(code_integer) = X1 => aa(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer),aa(fun(code_integer,code_integer),fun(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer)),product_apsnd(code_integer,code_integer,code_integer),uminus_uminus(code_integer)),iG414(X0,X1)) = iG415(X1,X0)) & ! [X1 : code_integer,X0 : code_integer] : (zero_zero(code_integer) = X1 => aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),zero_zero(code_integer)),X0) = iG415(X1,X0))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG415])])).
% 8.48/2.13  tff(f45009,plain,(
% 8.48/2.13    ( ! [X0 : code_integer,X1 : code_integer] : (iG415(X0,X1) = aa(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer),aa(fun(code_integer,code_integer),fun(product_prod(code_integer,code_integer),product_prod(code_integer,code_integer)),product_apsnd(code_integer,code_integer,code_integer),uminus_uminus(code_integer)),iG414(X1,X0)) | zero_zero(code_integer) = X0) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26222])).
% 8.48/2.13  tff(f45006,plain,(
% 8.48/2.13    ( ! [X2 : code_integer,X3 : code_integer] : (iG413(X3,X2) = iG416(X2,X3) | ($true != aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),zero_zero(code_integer)),X2))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26221])).
% 8.48/2.13  tff(f26221,plain,(
% 8.48/2.13    ! [X0 : code_integer,X1 : code_integer] : (iG415(X0,X1) = iG416(X0,X1) | ($true = aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),zero_zero(code_integer)),X0))) & ! [X2 : code_integer,X3 : code_integer] : (iG413(X3,X2) = iG416(X2,X3) | ($true != aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),zero_zero(code_integer)),X2)))),
% 8.48/2.13    inference(ennf_transformation,[],[f20601])).
% 8.48/2.13  tff(f20601,plain,(
% 8.48/2.13    ! [X0 : code_integer,X1 : code_integer] : (($true != aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),zero_zero(code_integer)),X0)) => iG415(X0,X1) = iG416(X0,X1)) & ! [X2 : code_integer,X3 : code_integer] : (($true = aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),zero_zero(code_integer)),X2)) => iG413(X3,X2) = iG416(X2,X3))),
% 8.48/2.13    inference(flattening,[],[f20600])).
% 8.48/2.13  tff(f20600,plain,(
% 8.48/2.13    ! [X0 : code_integer,X1 : code_integer] : (~($true = aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),zero_zero(code_integer)),X0)) => iG415(X0,X1) = iG416(X0,X1)) & ! [X2 : code_integer,X3 : code_integer] : (($true = aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),zero_zero(code_integer)),X2)) => iG413(X3,X2) = iG416(X2,X3))),
% 8.48/2.13    inference(rectify,[],[f14515])).
% 8.48/2.13  tff(f14515,plain,(
% 8.48/2.13    ! [X1 : code_integer,X0 : code_integer] : (~($true = aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),zero_zero(code_integer)),X1)) => iG415(X1,X0) = iG416(X1,X0)) & ! [X1 : code_integer,X0 : code_integer] : (($true = aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),zero_zero(code_integer)),X1)) => iG413(X0,X1) = iG416(X1,X0))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG416])])).
% 8.48/2.13  tff(f45007,plain,(
% 8.48/2.13    ( ! [X0 : code_integer,X1 : code_integer] : (iG415(X0,X1) = iG416(X0,X1) | ($true = aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),zero_zero(code_integer)),X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26221])).
% 8.48/2.13  tff(f61485,plain,(
% 8.48/2.13    ( ! [X3 : code_integer] : (aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),zero_zero(code_integer)),zero_zero(code_integer)) = iG417(zero_zero(code_integer),X3)) )),
% 8.48/2.13    inference(equality_resolution,[],[f45004])).
% 8.48/2.13  tff(f45004,plain,(
% 8.48/2.13    ( ! [X2 : code_integer,X3 : code_integer] : (aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),zero_zero(code_integer)),zero_zero(code_integer)) = iG417(X2,X3) | zero_zero(code_integer) != X2) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26220])).
% 8.48/2.13  tff(f26220,plain,(
% 8.48/2.13    ! [X0 : code_integer,X1 : code_integer] : (iG416(X1,X0) = iG417(X0,X1) | zero_zero(code_integer) = X0) & ! [X2 : code_integer,X3 : code_integer] : (aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),zero_zero(code_integer)),zero_zero(code_integer)) = iG417(X2,X3) | zero_zero(code_integer) != X2)),
% 8.48/2.13    inference(ennf_transformation,[],[f20599])).
% 8.48/2.13  tff(f20599,plain,(
% 8.48/2.13    ! [X0 : code_integer,X1 : code_integer] : (zero_zero(code_integer) != X0 => iG416(X1,X0) = iG417(X0,X1)) & ! [X2 : code_integer,X3 : code_integer] : (zero_zero(code_integer) = X2 => aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),zero_zero(code_integer)),zero_zero(code_integer)) = iG417(X2,X3))),
% 8.48/2.13    inference(flattening,[],[f20598])).
% 8.48/2.13  tff(f20598,plain,(
% 8.48/2.13    ! [X0 : code_integer,X1 : code_integer] : (~zero_zero(code_integer) = X0 => iG416(X1,X0) = iG417(X0,X1)) & ! [X2 : code_integer,X3 : code_integer] : (zero_zero(code_integer) = X2 => aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),zero_zero(code_integer)),zero_zero(code_integer)) = iG417(X2,X3))),
% 8.48/2.13    inference(rectify,[],[f14516])).
% 8.48/2.13  tff(f14516,plain,(
% 8.48/2.13    ! [X0 : code_integer,X1 : code_integer] : (~zero_zero(code_integer) = X0 => iG416(X1,X0) = iG417(X0,X1)) & ! [X0 : code_integer,X1 : code_integer] : (zero_zero(code_integer) = X0 => aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),zero_zero(code_integer)),zero_zero(code_integer)) = iG417(X0,X1))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG417])])).
% 8.48/2.13  tff(f45005,plain,(
% 8.48/2.13    ( ! [X0 : code_integer,X1 : code_integer] : (iG416(X1,X0) = iG417(X0,X1) | zero_zero(code_integer) = X0) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26220])).
% 8.48/2.13  tff(f61484,plain,(
% 8.48/2.13    ( ! [X3 : nat] : (aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),zero_zero(nat)),X3) = iG418(zero_zero(nat),X3)) )),
% 8.48/2.13    inference(equality_resolution,[],[f45001])).
% 8.48/2.13  tff(f45001,plain,(
% 8.48/2.13    ( ! [X2 : nat,X3 : nat] : (aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),zero_zero(nat)),X3) = iG418(X2,X3) | zero_zero(nat) != X2) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26219])).
% 8.48/2.13  tff(f26219,plain,(
% 8.48/2.13    ! [X0 : nat,X1 : nat] : (aa(product_prod(nat,nat),product_prod(nat,nat),aa(fun(nat,fun(nat,product_prod(nat,nat))),fun(product_prod(nat,nat),product_prod(nat,nat)),product_case_prod(nat,nat,product_prod(nat,nat)),aTP_Lamp_cs(nat,fun(nat,product_prod(nat,nat)))),divmod_nat(aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),X0),X0)) = iG418(X0,X1) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) | zero_zero(nat) = X0) & ! [X2 : nat,X3 : nat] : (aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),zero_zero(nat)),X3) = iG418(X2,X3) | (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)) & zero_zero(nat) != X2))),
% 8.48/2.13    inference(flattening,[],[f26218])).
% 8.48/2.13  tff(f26218,plain,(
% 8.48/2.13    ! [X0 : nat,X1 : nat] : (aa(product_prod(nat,nat),product_prod(nat,nat),aa(fun(nat,fun(nat,product_prod(nat,nat))),fun(product_prod(nat,nat),product_prod(nat,nat)),product_case_prod(nat,nat,product_prod(nat,nat)),aTP_Lamp_cs(nat,fun(nat,product_prod(nat,nat)))),divmod_nat(aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),X0),X0)) = iG418(X0,X1) | (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) | zero_zero(nat) = X0)) & ! [X2 : nat,X3 : nat] : (aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),zero_zero(nat)),X3) = iG418(X2,X3) | (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)) & zero_zero(nat) != X2))),
% 8.48/2.13    inference(ennf_transformation,[],[f20597])).
% 8.48/2.13  tff(f20597,plain,(
% 8.48/2.13    ! [X0 : nat,X1 : nat] : (~(($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) | zero_zero(nat) = X0) => aa(product_prod(nat,nat),product_prod(nat,nat),aa(fun(nat,fun(nat,product_prod(nat,nat))),fun(product_prod(nat,nat),product_prod(nat,nat)),product_case_prod(nat,nat,product_prod(nat,nat)),aTP_Lamp_cs(nat,fun(nat,product_prod(nat,nat)))),divmod_nat(aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),X0),X0)) = iG418(X0,X1)) & ! [X2 : nat,X3 : nat] : ((($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)) | zero_zero(nat) = X2) => aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),zero_zero(nat)),X3) = iG418(X2,X3))),
% 8.48/2.13    inference(rectify,[],[f14519])).
% 8.48/2.13  tff(f14519,plain,(
% 8.48/2.13    ! [X1 : nat,X0 : nat] : (~(($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X0),X1)) | zero_zero(nat) = X1) => aa(product_prod(nat,nat),product_prod(nat,nat),aa(fun(nat,fun(nat,product_prod(nat,nat))),fun(product_prod(nat,nat),product_prod(nat,nat)),product_case_prod(nat,nat,product_prod(nat,nat)),aTP_Lamp_cs(nat,fun(nat,product_prod(nat,nat)))),divmod_nat(aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),X1),X1)) = iG418(X1,X0)) & ! [X1 : nat,X0 : nat] : ((($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X0),X1)) | zero_zero(nat) = X1) => aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),zero_zero(nat)),X0) = iG418(X1,X0))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG418])])).
% 8.48/2.13  tff(f45002,plain,(
% 8.48/2.13    ( ! [X2 : nat,X3 : nat] : (aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),zero_zero(nat)),X3) = iG418(X2,X3) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26219])).
% 8.48/2.13  tff(f45003,plain,(
% 8.48/2.13    ( ! [X0 : nat,X1 : nat] : (aa(product_prod(nat,nat),product_prod(nat,nat),aa(fun(nat,fun(nat,product_prod(nat,nat))),fun(product_prod(nat,nat),product_prod(nat,nat)),product_case_prod(nat,nat,product_prod(nat,nat)),aTP_Lamp_cs(nat,fun(nat,product_prod(nat,nat)))),divmod_nat(aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),X0),X0)) = iG418(X0,X1) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) | zero_zero(nat) = X0) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26219])).
% 8.48/2.13  tff(f44999,plain,(
% 8.48/2.13    ( ! [X2 : nat,X3 : nat] : (aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X3),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X2),X3)) = iG419(X2,X3) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),X2))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26217])).
% 8.48/2.13  tff(f26217,plain,(
% 8.48/2.13    ! [X0 : nat,X1 : nat] : (nat_prod_decode_aux(aa(nat,nat,suc,X0),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),aa(nat,nat,suc,X0))) = iG419(X0,X1) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X0))) & ! [X2 : nat,X3 : nat] : (aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X3),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X2),X3)) = iG419(X2,X3) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),X2)))),
% 8.48/2.13    inference(ennf_transformation,[],[f20596])).
% 8.48/2.13  tff(f20596,plain,(
% 8.48/2.13    ! [X0 : nat,X1 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X0)) => nat_prod_decode_aux(aa(nat,nat,suc,X0),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),aa(nat,nat,suc,X0))) = iG419(X0,X1)) & ! [X2 : nat,X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),X2)) => aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X3),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X2),X3)) = iG419(X2,X3))),
% 8.48/2.13    inference(flattening,[],[f20595])).
% 8.48/2.13  tff(f20595,plain,(
% 8.48/2.13    ! [X0 : nat,X1 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X0)) => nat_prod_decode_aux(aa(nat,nat,suc,X0),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),aa(nat,nat,suc,X0))) = iG419(X0,X1)) & ! [X2 : nat,X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),X2)) => aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X3),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X2),X3)) = iG419(X2,X3))),
% 8.48/2.13    inference(rectify,[],[f14522])).
% 8.48/2.13  tff(f14522,plain,(
% 8.48/2.13    ! [X0 : nat,X1 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X0)) => nat_prod_decode_aux(aa(nat,nat,suc,X0),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),aa(nat,nat,suc,X0))) = iG419(X0,X1)) & ! [X0 : nat,X1 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X0)) => aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X1),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),X1)) = iG419(X0,X1))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG419])])).
% 8.48/2.13  tff(f45000,plain,(
% 8.48/2.13    ( ! [X0 : nat,X1 : nat] : (nat_prod_decode_aux(aa(nat,nat,suc,X0),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),aa(nat,nat,suc,X0))) = iG419(X0,X1) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X0))) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26217])).
% 8.48/2.13  tff(f61483,plain,(
% 8.48/2.13    ( ! [X3 : int] : (zero_zero(int) = iG420(zero_zero(int),X3)) )),
% 8.48/2.13    inference(equality_resolution,[],[f44997])).
% 8.48/2.13  tff(f44997,plain,(
% 8.48/2.13    ( ! [X2 : int,X3 : int] : (zero_zero(int) = iG420(X2,X3) | zero_zero(int) != X2) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26216])).
% 8.48/2.13  tff(f26216,plain,(
% 8.48/2.13    ! [X0 : int,X1 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X1),X0) = iG420(X0,X1) | zero_zero(int) = X0) & ! [X2 : int,X3 : int] : (zero_zero(int) = iG420(X2,X3) | zero_zero(int) != X2)),
% 8.48/2.13    inference(ennf_transformation,[],[f20594])).
% 8.48/2.13  tff(f20594,plain,(
% 8.48/2.13    ! [X0 : int,X1 : int] : (zero_zero(int) != X0 => aa(int,int,aa(int,fun(int,int),minus_minus(int),X1),X0) = iG420(X0,X1)) & ! [X2 : int,X3 : int] : (zero_zero(int) = X2 => zero_zero(int) = iG420(X2,X3))),
% 8.48/2.13    inference(flattening,[],[f20593])).
% 8.48/2.13  tff(f20593,plain,(
% 8.48/2.13    ! [X0 : int,X1 : int] : (~zero_zero(int) = X0 => aa(int,int,aa(int,fun(int,int),minus_minus(int),X1),X0) = iG420(X0,X1)) & ! [X2 : int,X3 : int] : (zero_zero(int) = X2 => zero_zero(int) = iG420(X2,X3))),
% 8.48/2.13    inference(rectify,[],[f14525])).
% 8.48/2.13  tff(f14525,plain,(
% 8.48/2.13    ! [X1 : int,X0 : int] : (~zero_zero(int) = X1 => aa(int,int,aa(int,fun(int,int),minus_minus(int),X0),X1) = iG420(X1,X0)) & ! [X1 : int,X0 : int] : (zero_zero(int) = X1 => zero_zero(int) = iG420(X1,X0))),
% 8.48/2.13    introduced(fool_ite_definition,[new_symbols(definition,[iG420])])).
% 8.48/2.13  tff(f44998,plain,(
% 8.48/2.13    ( ! [X0 : int,X1 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X1),X0) = iG420(X0,X1) | zero_zero(int) = X0) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26216])).
% 8.48/2.13  tff(f61482,plain,(
% 8.48/2.13    ( ! [X3 : nat] : (aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),one_one(int)),zero_zero(int)) = iG421(zero_zero(nat),X3)) )),
% 8.48/2.13    inference(equality_resolution,[],[f44995])).
% 8.48/2.13  tff(f44995,plain,(
% 8.48/2.13    ( ! [X2 : nat,X3 : nat] : (aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),one_one(int)),zero_zero(int)) = iG421(X2,X3) | zero_zero(nat) != X2) )),
% 8.48/2.13    inference(cnf_transformation,[],[f26215])).
% 8.48/2.13  tff(f26215,plain,(
% 8.48/2.13    ! [X0 : nat,X1 : nat] : (aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),aa(product_prod(int,int),int,product_snd(int,int),bezw(X0,modulo_modulo(nat,X1,X0)))),aa(int,int,aa(int,fun(int,int),minus_minus(int),aa(product_prod(int,int),int,product_fst(int,int),bezw(X0,modulo_modulo(nat,X1,X0)))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(product_prod(int,int),int,product_snd(int,int),bezw(X0,modulo_modulo(nat,X1,X0)))),aa(nat,int,semiring_1_of_nat(int),divide_divide(nat,X1,X0))))) = iG421(X0,X1) | zero_zero(nat) = X0) & ! [X2 : nat,X3 : nat] : (aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),one_one(int)),zero_zero(int)) = iG421(X2,X3) | zero_zero(nat) != X2)),
% 8.48/2.13    inference(ennf_transformation,[],[f20592])).
% 8.48/2.13  tff(f20592,plain,(
% 8.48/2.13    ! [X0 : nat,X1 : nat] : (zero_zero(nat) != X0 => aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),aa(product_prod(int,int),int,product_snd(int,int),bezw(X0,modulo_modulo(nat,X1,X0)))),aa(int,int,aa(int,fun(int,int),minus_minus(int),aa(product_prod(int,int),int,product_fst(int,int),bezw(X0,modulo_modulo(nat,X1,X0)))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(product_prod(int,int),int,product_snd(int,int),bezw(X0,modulo_modulo(nat,X1,X0)))),aa(nat,int,semiring_1_of_nat(int),divide_divide(nat,X1,X0))))) = iG421(X0,X1)) & ! [X2 : nat,X3 : nat] : (zero_zero(nat) = X2 => aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),one_one(int)),zero_zero(int)) = iG421(X2,X3))),
% 8.48/2.14    inference(flattening,[],[f20591])).
% 8.48/2.14  tff(f20591,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : (~zero_zero(nat) = X0 => aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),aa(product_prod(int,int),int,product_snd(int,int),bezw(X0,modulo_modulo(nat,X1,X0)))),aa(int,int,aa(int,fun(int,int),minus_minus(int),aa(product_prod(int,int),int,product_fst(int,int),bezw(X0,modulo_modulo(nat,X1,X0)))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(product_prod(int,int),int,product_snd(int,int),bezw(X0,modulo_modulo(nat,X1,X0)))),aa(nat,int,semiring_1_of_nat(int),divide_divide(nat,X1,X0))))) = iG421(X0,X1)) & ! [X2 : nat,X3 : nat] : (zero_zero(nat) = X2 => aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),one_one(int)),zero_zero(int)) = iG421(X2,X3))),
% 8.48/2.14    inference(rectify,[],[f14528])).
% 8.48/2.14  tff(f14528,plain,(
% 8.48/2.14    ! [X1 : nat,X0 : nat] : (~zero_zero(nat) = X1 => aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),aa(product_prod(int,int),int,product_snd(int,int),bezw(X1,modulo_modulo(nat,X0,X1)))),aa(int,int,aa(int,fun(int,int),minus_minus(int),aa(product_prod(int,int),int,product_fst(int,int),bezw(X1,modulo_modulo(nat,X0,X1)))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(product_prod(int,int),int,product_snd(int,int),bezw(X1,modulo_modulo(nat,X0,X1)))),aa(nat,int,semiring_1_of_nat(int),divide_divide(nat,X0,X1))))) = iG421(X1,X0)) & ! [X1 : nat,X0 : nat] : (zero_zero(nat) = X1 => aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),one_one(int)),zero_zero(int)) = iG421(X1,X0))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG421])])).
% 8.48/2.14  tff(f44996,plain,(
% 8.48/2.14    ( ! [X0 : nat,X1 : nat] : (aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),aa(product_prod(int,int),int,product_snd(int,int),bezw(X0,modulo_modulo(nat,X1,X0)))),aa(int,int,aa(int,fun(int,int),minus_minus(int),aa(product_prod(int,int),int,product_fst(int,int),bezw(X0,modulo_modulo(nat,X1,X0)))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(product_prod(int,int),int,product_snd(int,int),bezw(X0,modulo_modulo(nat,X1,X0)))),aa(nat,int,semiring_1_of_nat(int),divide_divide(nat,X1,X0))))) = iG421(X0,X1) | zero_zero(nat) = X0) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26215])).
% 8.48/2.14  tff(f44993,plain,(
% 8.48/2.14    ( ! [X2 : num,X3 : nat] : (none(num) = iG422(X2,X3) | zero_zero(nat) != aa(nat,nat,bit_se2584673776208193580ke_bit(nat,X3),aa(num,nat,numeral_numeral(nat),X2))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26214])).
% 8.48/2.14  tff(f26214,plain,(
% 8.48/2.14    ! [X0 : num,X1 : nat] : (aa(num,option(num),some(num),num_of_nat(aa(nat,nat,bit_se2584673776208193580ke_bit(nat,X1),aa(num,nat,numeral_numeral(nat),X0)))) = iG422(X0,X1) | zero_zero(nat) = aa(nat,nat,bit_se2584673776208193580ke_bit(nat,X1),aa(num,nat,numeral_numeral(nat),X0))) & ! [X2 : num,X3 : nat] : (none(num) = iG422(X2,X3) | zero_zero(nat) != aa(nat,nat,bit_se2584673776208193580ke_bit(nat,X3),aa(num,nat,numeral_numeral(nat),X2)))),
% 8.48/2.14    inference(ennf_transformation,[],[f20590])).
% 8.48/2.14  tff(f20590,plain,(
% 8.48/2.14    ! [X0 : num,X1 : nat] : (zero_zero(nat) != aa(nat,nat,bit_se2584673776208193580ke_bit(nat,X1),aa(num,nat,numeral_numeral(nat),X0)) => aa(num,option(num),some(num),num_of_nat(aa(nat,nat,bit_se2584673776208193580ke_bit(nat,X1),aa(num,nat,numeral_numeral(nat),X0)))) = iG422(X0,X1)) & ! [X2 : num,X3 : nat] : (zero_zero(nat) = aa(nat,nat,bit_se2584673776208193580ke_bit(nat,X3),aa(num,nat,numeral_numeral(nat),X2)) => none(num) = iG422(X2,X3))),
% 8.48/2.14    inference(flattening,[],[f20589])).
% 8.48/2.14  tff(f20589,plain,(
% 8.48/2.14    ! [X0 : num,X1 : nat] : (~zero_zero(nat) = aa(nat,nat,bit_se2584673776208193580ke_bit(nat,X1),aa(num,nat,numeral_numeral(nat),X0)) => aa(num,option(num),some(num),num_of_nat(aa(nat,nat,bit_se2584673776208193580ke_bit(nat,X1),aa(num,nat,numeral_numeral(nat),X0)))) = iG422(X0,X1)) & ! [X2 : num,X3 : nat] : (zero_zero(nat) = aa(nat,nat,bit_se2584673776208193580ke_bit(nat,X3),aa(num,nat,numeral_numeral(nat),X2)) => none(num) = iG422(X2,X3))),
% 8.48/2.14    inference(rectify,[],[f14531])).
% 8.48/2.14  tff(f14531,plain,(
% 8.48/2.14    ! [X1 : num,X0 : nat] : (~zero_zero(nat) = aa(nat,nat,bit_se2584673776208193580ke_bit(nat,X0),aa(num,nat,numeral_numeral(nat),X1)) => aa(num,option(num),some(num),num_of_nat(aa(nat,nat,bit_se2584673776208193580ke_bit(nat,X0),aa(num,nat,numeral_numeral(nat),X1)))) = iG422(X1,X0)) & ! [X1 : num,X0 : nat] : (zero_zero(nat) = aa(nat,nat,bit_se2584673776208193580ke_bit(nat,X0),aa(num,nat,numeral_numeral(nat),X1)) => none(num) = iG422(X1,X0))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG422])])).
% 8.48/2.14  tff(f44994,plain,(
% 8.48/2.14    ( ! [X0 : num,X1 : nat] : (aa(num,option(num),some(num),num_of_nat(aa(nat,nat,bit_se2584673776208193580ke_bit(nat,X1),aa(num,nat,numeral_numeral(nat),X0)))) = iG422(X0,X1) | zero_zero(nat) = aa(nat,nat,bit_se2584673776208193580ke_bit(nat,X1),aa(num,nat,numeral_numeral(nat),X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26214])).
% 8.48/2.14  tff(f44991,plain,(
% 8.48/2.14    ( ! [X2 : int,X3 : int] : (aa(list(int),list(int),cons(int,X3),upto(aa(int,int,aa(int,fun(int,int),plus_plus(int),X3),one_one(int)),X2)) = iG423(X2,X3) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X3),X2))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26213])).
% 8.48/2.14  tff(f26213,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (nil(int) = iG423(X0,X1) | ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X1),X0))) & ! [X2 : int,X3 : int] : (aa(list(int),list(int),cons(int,X3),upto(aa(int,int,aa(int,fun(int,int),plus_plus(int),X3),one_one(int)),X2)) = iG423(X2,X3) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X3),X2)))),
% 8.48/2.14    inference(ennf_transformation,[],[f20588])).
% 8.48/2.14  tff(f20588,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X1),X0)) => nil(int) = iG423(X0,X1)) & ! [X2 : int,X3 : int] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X3),X2)) => aa(list(int),list(int),cons(int,X3),upto(aa(int,int,aa(int,fun(int,int),plus_plus(int),X3),one_one(int)),X2)) = iG423(X2,X3))),
% 8.48/2.14    inference(flattening,[],[f20587])).
% 8.48/2.14  tff(f20587,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (~($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X1),X0)) => nil(int) = iG423(X0,X1)) & ! [X2 : int,X3 : int] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X3),X2)) => aa(list(int),list(int),cons(int,X3),upto(aa(int,int,aa(int,fun(int,int),plus_plus(int),X3),one_one(int)),X2)) = iG423(X2,X3))),
% 8.48/2.14    inference(rectify,[],[f14534])).
% 8.48/2.14  tff(f14534,plain,(
% 8.48/2.14    ! [X1 : int,X0 : int] : (~($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X0),X1)) => nil(int) = iG423(X1,X0)) & ! [X1 : int,X0 : int] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X0),X1)) => aa(list(int),list(int),cons(int,X0),upto(aa(int,int,aa(int,fun(int,int),plus_plus(int),X0),one_one(int)),X1)) = iG423(X1,X0))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG423])])).
% 8.48/2.14  tff(f44992,plain,(
% 8.48/2.14    ( ! [X0 : int,X1 : int] : (nil(int) = iG423(X0,X1) | ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X1),X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26213])).
% 8.48/2.14  tff(f44989,plain,(
% 8.48/2.14    ( ! [X2 : nat,X3 : nat] : (aa(list(nat),list(nat),cons(nat,X3),upt(aa(nat,nat,suc,X3),X2)) = iG424(X2,X3) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26212])).
% 8.48/2.14  tff(f26212,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : (nil(nat) = iG424(X0,X1) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) & ! [X2 : nat,X3 : nat] : (aa(list(nat),list(nat),cons(nat,X3),upt(aa(nat,nat,suc,X3),X2)) = iG424(X2,X3) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)))),
% 8.48/2.14    inference(ennf_transformation,[],[f20586])).
% 8.48/2.14  tff(f20586,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) => nil(nat) = iG424(X0,X1)) & ! [X2 : nat,X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)) => aa(list(nat),list(nat),cons(nat,X3),upt(aa(nat,nat,suc,X3),X2)) = iG424(X2,X3))),
% 8.48/2.14    inference(flattening,[],[f20585])).
% 8.48/2.14  tff(f20585,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) => nil(nat) = iG424(X0,X1)) & ! [X2 : nat,X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)) => aa(list(nat),list(nat),cons(nat,X3),upt(aa(nat,nat,suc,X3),X2)) = iG424(X2,X3))),
% 8.48/2.14    inference(rectify,[],[f14537])).
% 8.48/2.14  tff(f14537,plain,(
% 8.48/2.14    ! [X1 : nat,X0 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X0),X1)) => nil(nat) = iG424(X1,X0)) & ! [X1 : nat,X0 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X0),X1)) => aa(list(nat),list(nat),cons(nat,X0),upt(aa(nat,nat,suc,X0),X1)) = iG424(X1,X0))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG424])])).
% 8.48/2.14  tff(f44990,plain,(
% 8.48/2.14    ( ! [X0 : nat,X1 : nat] : (nil(nat) = iG424(X0,X1) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26212])).
% 8.48/2.14  tff(f44987,plain,(
% 8.48/2.14    ( ! [X2 : int,X3 : int] : (bot_bot(set(int)) = iG425(X2,X3) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X3),X2))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26211])).
% 8.48/2.14  tff(f26211,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (aa(set(int),set(int),insert(int,X0),set_or1337092689740270186AtMost(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),X0),one_one(int)),X1)) = iG425(X0,X1) | ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X1),X0))) & ! [X2 : int,X3 : int] : (bot_bot(set(int)) = iG425(X2,X3) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X3),X2)))),
% 8.48/2.14    inference(ennf_transformation,[],[f20584])).
% 8.48/2.14  tff(f20584,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X1),X0)) => aa(set(int),set(int),insert(int,X0),set_or1337092689740270186AtMost(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),X0),one_one(int)),X1)) = iG425(X0,X1)) & ! [X2 : int,X3 : int] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X3),X2)) => bot_bot(set(int)) = iG425(X2,X3))),
% 8.48/2.14    inference(flattening,[],[f20583])).
% 8.48/2.14  tff(f20583,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (~($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X1),X0)) => aa(set(int),set(int),insert(int,X0),set_or1337092689740270186AtMost(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),X0),one_one(int)),X1)) = iG425(X0,X1)) & ! [X2 : int,X3 : int] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X3),X2)) => bot_bot(set(int)) = iG425(X2,X3))),
% 8.48/2.14    inference(rectify,[],[f14540])).
% 8.48/2.14  tff(f14540,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (~($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X1),X0)) => aa(set(int),set(int),insert(int,X0),set_or1337092689740270186AtMost(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),X0),one_one(int)),X1)) = iG425(X0,X1)) & ! [X0 : int,X1 : int] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X1),X0)) => bot_bot(set(int)) = iG425(X0,X1))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG425])])).
% 8.48/2.14  tff(f44988,plain,(
% 8.48/2.14    ( ! [X0 : int,X1 : int] : (aa(set(int),set(int),insert(int,X0),set_or1337092689740270186AtMost(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),X0),one_one(int)),X1)) = iG425(X0,X1) | ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X1),X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26211])).
% 8.48/2.14  tff(f44985,plain,(
% 8.48/2.14    ( ! [X0 : int,X1 : int] : (($true = bG426(X0,X1)) | dvd_dvd(int,X1,X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36363])).
% 8.48/2.14  tff(f36363,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : ((~dvd_dvd(int,X1,X0) | ($true != bG426(X0,X1))) & (($true = bG426(X0,X1)) | dvd_dvd(int,X1,X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f14543])).
% 8.48/2.14  tff(f14543,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (~dvd_dvd(int,X1,X0) <=> ($true = bG426(X0,X1)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG426])])).
% 8.48/2.14  tff(f44986,plain,(
% 8.48/2.14    ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,X1,X0) | ($true != bG426(X0,X1))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36363])).
% 8.48/2.14  tff(f44983,plain,(
% 8.48/2.14    ( ! [X2 : int,X3 : int] : (aa(int,int,aa(int,fun(int,int),times_times(int),aa(int,int,sgn_sgn(int),X2)),aa(nat,int,semiring_1_of_nat(int),modulo_modulo(nat,nat2(aa(int,int,abs_abs(int),X3)),nat2(aa(int,int,abs_abs(int),X2))))) = iG427(X2,X3) | aa(int,int,sgn_sgn(int),X3) != aa(int,int,sgn_sgn(int),X2)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26210])).
% 8.48/2.14  tff(f26210,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (iG427(X0,X1) = aa(int,int,aa(int,fun(int,int),times_times(int),aa(int,int,sgn_sgn(int),X0)),aa(int,int,aa(int,fun(int,int),minus_minus(int),aa(int,int,aa(int,fun(int,int),times_times(int),aa(int,int,abs_abs(int),X0)),aa($o,int,zero_neq_one_of_bool(int),bG426(X1,X0)))),aa(nat,int,semiring_1_of_nat(int),modulo_modulo(nat,nat2(aa(int,int,abs_abs(int),X1)),nat2(aa(int,int,abs_abs(int),X0)))))) | aa(int,int,sgn_sgn(int),X0) = aa(int,int,sgn_sgn(int),X1)) & ! [X2 : int,X3 : int] : (aa(int,int,aa(int,fun(int,int),times_times(int),aa(int,int,sgn_sgn(int),X2)),aa(nat,int,semiring_1_of_nat(int),modulo_modulo(nat,nat2(aa(int,int,abs_abs(int),X3)),nat2(aa(int,int,abs_abs(int),X2))))) = iG427(X2,X3) | aa(int,int,sgn_sgn(int),X3) != aa(int,int,sgn_sgn(int),X2))),
% 8.48/2.14    inference(ennf_transformation,[],[f20582])).
% 8.48/2.14  tff(f20582,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (aa(int,int,sgn_sgn(int),X0) != aa(int,int,sgn_sgn(int),X1) => iG427(X0,X1) = aa(int,int,aa(int,fun(int,int),times_times(int),aa(int,int,sgn_sgn(int),X0)),aa(int,int,aa(int,fun(int,int),minus_minus(int),aa(int,int,aa(int,fun(int,int),times_times(int),aa(int,int,abs_abs(int),X0)),aa($o,int,zero_neq_one_of_bool(int),bG426(X1,X0)))),aa(nat,int,semiring_1_of_nat(int),modulo_modulo(nat,nat2(aa(int,int,abs_abs(int),X1)),nat2(aa(int,int,abs_abs(int),X0))))))) & ! [X2 : int,X3 : int] : (aa(int,int,sgn_sgn(int),X3) = aa(int,int,sgn_sgn(int),X2) => aa(int,int,aa(int,fun(int,int),times_times(int),aa(int,int,sgn_sgn(int),X2)),aa(nat,int,semiring_1_of_nat(int),modulo_modulo(nat,nat2(aa(int,int,abs_abs(int),X3)),nat2(aa(int,int,abs_abs(int),X2))))) = iG427(X2,X3))),
% 8.48/2.14    inference(flattening,[],[f20581])).
% 8.48/2.14  tff(f20581,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (~aa(int,int,sgn_sgn(int),X0) = aa(int,int,sgn_sgn(int),X1) => iG427(X0,X1) = aa(int,int,aa(int,fun(int,int),times_times(int),aa(int,int,sgn_sgn(int),X0)),aa(int,int,aa(int,fun(int,int),minus_minus(int),aa(int,int,aa(int,fun(int,int),times_times(int),aa(int,int,abs_abs(int),X0)),aa($o,int,zero_neq_one_of_bool(int),bG426(X1,X0)))),aa(nat,int,semiring_1_of_nat(int),modulo_modulo(nat,nat2(aa(int,int,abs_abs(int),X1)),nat2(aa(int,int,abs_abs(int),X0))))))) & ! [X2 : int,X3 : int] : (aa(int,int,sgn_sgn(int),X3) = aa(int,int,sgn_sgn(int),X2) => aa(int,int,aa(int,fun(int,int),times_times(int),aa(int,int,sgn_sgn(int),X2)),aa(nat,int,semiring_1_of_nat(int),modulo_modulo(nat,nat2(aa(int,int,abs_abs(int),X3)),nat2(aa(int,int,abs_abs(int),X2))))) = iG427(X2,X3))),
% 8.48/2.14    inference(rectify,[],[f14544])).
% 8.48/2.14  tff(f14544,plain,(
% 8.48/2.14    ! [X1 : int,X0 : int] : (~aa(int,int,sgn_sgn(int),X0) = aa(int,int,sgn_sgn(int),X1) => aa(int,int,aa(int,fun(int,int),times_times(int),aa(int,int,sgn_sgn(int),X1)),aa(int,int,aa(int,fun(int,int),minus_minus(int),aa(int,int,aa(int,fun(int,int),times_times(int),aa(int,int,abs_abs(int),X1)),aa($o,int,zero_neq_one_of_bool(int),bG426(X0,X1)))),aa(nat,int,semiring_1_of_nat(int),modulo_modulo(nat,nat2(aa(int,int,abs_abs(int),X0)),nat2(aa(int,int,abs_abs(int),X1)))))) = iG427(X1,X0)) & ! [X1 : int,X0 : int] : (aa(int,int,sgn_sgn(int),X0) = aa(int,int,sgn_sgn(int),X1) => aa(int,int,aa(int,fun(int,int),times_times(int),aa(int,int,sgn_sgn(int),X1)),aa(nat,int,semiring_1_of_nat(int),modulo_modulo(nat,nat2(aa(int,int,abs_abs(int),X0)),nat2(aa(int,int,abs_abs(int),X1))))) = iG427(X1,X0))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG427])])).
% 8.48/2.14  tff(f44984,plain,(
% 8.48/2.14    ( ! [X0 : int,X1 : int] : (iG427(X0,X1) = aa(int,int,aa(int,fun(int,int),times_times(int),aa(int,int,sgn_sgn(int),X0)),aa(int,int,aa(int,fun(int,int),minus_minus(int),aa(int,int,aa(int,fun(int,int),times_times(int),aa(int,int,abs_abs(int),X0)),aa($o,int,zero_neq_one_of_bool(int),bG426(X1,X0)))),aa(nat,int,semiring_1_of_nat(int),modulo_modulo(nat,nat2(aa(int,int,abs_abs(int),X1)),nat2(aa(int,int,abs_abs(int),X0)))))) | aa(int,int,sgn_sgn(int),X0) = aa(int,int,sgn_sgn(int),X1)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26210])).
% 8.48/2.14  tff(f61481,plain,(
% 8.48/2.14    ( ! [X3 : int] : (iG428(zero_zero(int),X3) = X3) )),
% 8.48/2.14    inference(equality_resolution,[],[f44981])).
% 8.48/2.14  tff(f44981,plain,(
% 8.48/2.14    ( ! [X2 : int,X3 : int] : (iG428(X2,X3) = X3 | zero_zero(int) != X2) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26209])).
% 8.48/2.14  tff(f26209,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (iG427(X0,X1) = iG428(X0,X1) | zero_zero(int) = X0) & ! [X2 : int,X3 : int] : (iG428(X2,X3) = X3 | zero_zero(int) != X2)),
% 8.48/2.14    inference(ennf_transformation,[],[f20580])).
% 8.48/2.14  tff(f20580,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (zero_zero(int) != X0 => iG427(X0,X1) = iG428(X0,X1)) & ! [X2 : int,X3 : int] : (zero_zero(int) = X2 => iG428(X2,X3) = X3)),
% 8.48/2.14    inference(flattening,[],[f20579])).
% 8.48/2.14  tff(f20579,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (~zero_zero(int) = X0 => iG427(X0,X1) = iG428(X0,X1)) & ! [X2 : int,X3 : int] : (zero_zero(int) = X2 => iG428(X2,X3) = X3)),
% 8.48/2.14    inference(rectify,[],[f14545])).
% 8.48/2.14  tff(f14545,plain,(
% 8.48/2.14    ! [X1 : int,X0 : int] : (~zero_zero(int) = X1 => iG427(X1,X0) = iG428(X1,X0)) & ! [X1 : int,X0 : int] : (zero_zero(int) = X1 => iG428(X1,X0) = X0)),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG428])])).
% 8.48/2.14  tff(f44982,plain,(
% 8.48/2.14    ( ! [X0 : int,X1 : int] : (iG427(X0,X1) = iG428(X0,X1) | zero_zero(int) = X0) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26209])).
% 8.48/2.14  tff(f44979,plain,(
% 8.48/2.14    ( ! [X2 : nat,X3 : nat] : (iG429(X2,X3) = X3 | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26208])).
% 8.48/2.14  tff(f26208,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : (modulo_modulo(nat,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),X0),X0) = iG429(X0,X1) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) & ! [X2 : nat,X3 : nat] : (iG429(X2,X3) = X3 | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)))),
% 8.48/2.14    inference(ennf_transformation,[],[f20578])).
% 8.48/2.14  tff(f20578,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) => modulo_modulo(nat,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),X0),X0) = iG429(X0,X1)) & ! [X2 : nat,X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)) => iG429(X2,X3) = X3)),
% 8.48/2.14    inference(flattening,[],[f20577])).
% 8.48/2.14  tff(f20577,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) => modulo_modulo(nat,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),X0),X0) = iG429(X0,X1)) & ! [X2 : nat,X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)) => iG429(X2,X3) = X3)),
% 8.48/2.14    inference(rectify,[],[f14548])).
% 8.48/2.14  tff(f14548,plain,(
% 8.48/2.14    ! [X1 : nat,X0 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X0),X1)) => modulo_modulo(nat,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),X1),X1) = iG429(X1,X0)) & ! [X1 : nat,X0 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X0),X1)) => iG429(X1,X0) = X0)),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG429])])).
% 8.48/2.14  tff(f44980,plain,(
% 8.48/2.14    ( ! [X0 : nat,X1 : nat] : (modulo_modulo(nat,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),X0),X0) = iG429(X0,X1) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26208])).
% 8.48/2.14  tff(f44977,plain,(
% 8.48/2.14    ( ! [X0 : int,X1 : int] : (($true = bG430(X0,X1)) | dvd_dvd(int,X1,X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36362])).
% 8.48/2.14  tff(f36362,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : ((~dvd_dvd(int,X1,X0) | ($true != bG430(X0,X1))) & (($true = bG430(X0,X1)) | dvd_dvd(int,X1,X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f14551])).
% 8.48/2.14  tff(f14551,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (~dvd_dvd(int,X1,X0) <=> ($true = bG430(X0,X1)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG430])])).
% 8.48/2.14  tff(f44978,plain,(
% 8.48/2.14    ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,X1,X0) | ($true != bG430(X0,X1))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36362])).
% 8.48/2.14  tff(f44975,plain,(
% 8.48/2.14    ( ! [X2 : int,X3 : int] : (aa(nat,int,semiring_1_of_nat(int),divide_divide(nat,nat2(aa(int,int,abs_abs(int),X3)),nat2(aa(int,int,abs_abs(int),X2)))) = iG431(X2,X3) | aa(int,int,sgn_sgn(int),X3) != aa(int,int,sgn_sgn(int),X2)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26207])).
% 8.48/2.14  tff(f26207,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (iG431(X0,X1) = aa(int,int,uminus_uminus(int),aa(nat,int,semiring_1_of_nat(int),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),divide_divide(nat,nat2(aa(int,int,abs_abs(int),X1)),nat2(aa(int,int,abs_abs(int),X0)))),aa($o,nat,zero_neq_one_of_bool(nat),bG430(X1,X0))))) | aa(int,int,sgn_sgn(int),X0) = aa(int,int,sgn_sgn(int),X1)) & ! [X2 : int,X3 : int] : (aa(nat,int,semiring_1_of_nat(int),divide_divide(nat,nat2(aa(int,int,abs_abs(int),X3)),nat2(aa(int,int,abs_abs(int),X2)))) = iG431(X2,X3) | aa(int,int,sgn_sgn(int),X3) != aa(int,int,sgn_sgn(int),X2))),
% 8.48/2.14    inference(ennf_transformation,[],[f20576])).
% 8.48/2.14  tff(f20576,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (aa(int,int,sgn_sgn(int),X0) != aa(int,int,sgn_sgn(int),X1) => iG431(X0,X1) = aa(int,int,uminus_uminus(int),aa(nat,int,semiring_1_of_nat(int),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),divide_divide(nat,nat2(aa(int,int,abs_abs(int),X1)),nat2(aa(int,int,abs_abs(int),X0)))),aa($o,nat,zero_neq_one_of_bool(nat),bG430(X1,X0)))))) & ! [X2 : int,X3 : int] : (aa(int,int,sgn_sgn(int),X3) = aa(int,int,sgn_sgn(int),X2) => aa(nat,int,semiring_1_of_nat(int),divide_divide(nat,nat2(aa(int,int,abs_abs(int),X3)),nat2(aa(int,int,abs_abs(int),X2)))) = iG431(X2,X3))),
% 8.48/2.14    inference(flattening,[],[f20575])).
% 8.48/2.14  tff(f20575,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (~aa(int,int,sgn_sgn(int),X0) = aa(int,int,sgn_sgn(int),X1) => iG431(X0,X1) = aa(int,int,uminus_uminus(int),aa(nat,int,semiring_1_of_nat(int),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),divide_divide(nat,nat2(aa(int,int,abs_abs(int),X1)),nat2(aa(int,int,abs_abs(int),X0)))),aa($o,nat,zero_neq_one_of_bool(nat),bG430(X1,X0)))))) & ! [X2 : int,X3 : int] : (aa(int,int,sgn_sgn(int),X3) = aa(int,int,sgn_sgn(int),X2) => aa(nat,int,semiring_1_of_nat(int),divide_divide(nat,nat2(aa(int,int,abs_abs(int),X3)),nat2(aa(int,int,abs_abs(int),X2)))) = iG431(X2,X3))),
% 8.48/2.14    inference(rectify,[],[f14552])).
% 8.48/2.14  tff(f14552,plain,(
% 8.48/2.14    ! [X1 : int,X0 : int] : (~aa(int,int,sgn_sgn(int),X0) = aa(int,int,sgn_sgn(int),X1) => aa(int,int,uminus_uminus(int),aa(nat,int,semiring_1_of_nat(int),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),divide_divide(nat,nat2(aa(int,int,abs_abs(int),X0)),nat2(aa(int,int,abs_abs(int),X1)))),aa($o,nat,zero_neq_one_of_bool(nat),bG430(X0,X1))))) = iG431(X1,X0)) & ! [X1 : int,X0 : int] : (aa(int,int,sgn_sgn(int),X0) = aa(int,int,sgn_sgn(int),X1) => aa(nat,int,semiring_1_of_nat(int),divide_divide(nat,nat2(aa(int,int,abs_abs(int),X0)),nat2(aa(int,int,abs_abs(int),X1)))) = iG431(X1,X0))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG431])])).
% 8.48/2.14  tff(f44976,plain,(
% 8.48/2.14    ( ! [X0 : int,X1 : int] : (iG431(X0,X1) = aa(int,int,uminus_uminus(int),aa(nat,int,semiring_1_of_nat(int),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),divide_divide(nat,nat2(aa(int,int,abs_abs(int),X1)),nat2(aa(int,int,abs_abs(int),X0)))),aa($o,nat,zero_neq_one_of_bool(nat),bG430(X1,X0))))) | aa(int,int,sgn_sgn(int),X0) = aa(int,int,sgn_sgn(int),X1)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26207])).
% 8.48/2.14  tff(f61480,plain,(
% 8.48/2.14    ( ! [X3 : int] : (zero_zero(int) = iG432(zero_zero(int),X3)) )),
% 8.48/2.14    inference(equality_resolution,[],[f44973])).
% 8.48/2.14  tff(f44973,plain,(
% 8.48/2.14    ( ! [X2 : int,X3 : int] : (zero_zero(int) = iG432(X2,X3) | zero_zero(int) != X2) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26206])).
% 8.48/2.14  tff(f26206,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (iG431(X0,X1) = iG432(X0,X1) | zero_zero(int) = X0) & ! [X2 : int,X3 : int] : (zero_zero(int) = iG432(X2,X3) | zero_zero(int) != X2)),
% 8.48/2.14    inference(ennf_transformation,[],[f20574])).
% 8.48/2.14  tff(f20574,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (zero_zero(int) != X0 => iG431(X0,X1) = iG432(X0,X1)) & ! [X2 : int,X3 : int] : (zero_zero(int) = X2 => zero_zero(int) = iG432(X2,X3))),
% 8.48/2.14    inference(flattening,[],[f20573])).
% 8.48/2.14  tff(f20573,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (~zero_zero(int) = X0 => iG431(X0,X1) = iG432(X0,X1)) & ! [X2 : int,X3 : int] : (zero_zero(int) = X2 => zero_zero(int) = iG432(X2,X3))),
% 8.48/2.14    inference(rectify,[],[f14553])).
% 8.48/2.14  tff(f14553,plain,(
% 8.48/2.14    ! [X1 : int,X0 : int] : (~zero_zero(int) = X1 => iG431(X1,X0) = iG432(X1,X0)) & ! [X1 : int,X0 : int] : (zero_zero(int) = X1 => zero_zero(int) = iG432(X1,X0))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG432])])).
% 8.48/2.14  tff(f44974,plain,(
% 8.48/2.14    ( ! [X0 : int,X1 : int] : (iG431(X0,X1) = iG432(X0,X1) | zero_zero(int) = X0) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26206])).
% 8.48/2.14  tff(f61479,plain,(
% 8.48/2.14    ( ! [X3 : nat] : (zero_zero(nat) = iG433(zero_zero(nat),X3)) )),
% 8.48/2.14    inference(equality_resolution,[],[f44971])).
% 8.48/2.14  tff(f44971,plain,(
% 8.48/2.14    ( ! [X2 : nat,X3 : nat] : (zero_zero(nat) = iG433(X2,X3) | zero_zero(nat) != X2) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26205])).
% 8.48/2.14  tff(f26205,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : (aa(set(nat),nat,lattic643756798349783984er_Max(nat),aa(fun(nat,$o),set(nat),collect(nat),aa(nat,fun(nat,$o),aTP_Lamp_acu(nat,fun(nat,fun(nat,$o)),X1),X0))) = iG433(X0,X1) | zero_zero(nat) = X0) & ! [X2 : nat,X3 : nat] : (zero_zero(nat) = iG433(X2,X3) | zero_zero(nat) != X2)),
% 8.48/2.14    inference(ennf_transformation,[],[f20572])).
% 8.48/2.14  tff(f20572,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : (zero_zero(nat) != X0 => aa(set(nat),nat,lattic643756798349783984er_Max(nat),aa(fun(nat,$o),set(nat),collect(nat),aa(nat,fun(nat,$o),aTP_Lamp_acu(nat,fun(nat,fun(nat,$o)),X1),X0))) = iG433(X0,X1)) & ! [X2 : nat,X3 : nat] : (zero_zero(nat) = X2 => zero_zero(nat) = iG433(X2,X3))),
% 8.48/2.14    inference(flattening,[],[f20571])).
% 8.48/2.14  tff(f20571,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : (~zero_zero(nat) = X0 => aa(set(nat),nat,lattic643756798349783984er_Max(nat),aa(fun(nat,$o),set(nat),collect(nat),aa(nat,fun(nat,$o),aTP_Lamp_acu(nat,fun(nat,fun(nat,$o)),X1),X0))) = iG433(X0,X1)) & ! [X2 : nat,X3 : nat] : (zero_zero(nat) = X2 => zero_zero(nat) = iG433(X2,X3))),
% 8.48/2.14    inference(rectify,[],[f14556])).
% 8.48/2.14  tff(f14556,plain,(
% 8.48/2.14    ! [X1 : nat,X0 : nat] : (~zero_zero(nat) = X1 => aa(set(nat),nat,lattic643756798349783984er_Max(nat),aa(fun(nat,$o),set(nat),collect(nat),aa(nat,fun(nat,$o),aTP_Lamp_acu(nat,fun(nat,fun(nat,$o)),X0),X1))) = iG433(X1,X0)) & ! [X1 : nat,X0 : nat] : (zero_zero(nat) = X1 => zero_zero(nat) = iG433(X1,X0))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG433])])).
% 8.48/2.14  tff(f44972,plain,(
% 8.48/2.14    ( ! [X0 : nat,X1 : nat] : (aa(set(nat),nat,lattic643756798349783984er_Max(nat),aa(fun(nat,$o),set(nat),collect(nat),aa(nat,fun(nat,$o),aTP_Lamp_acu(nat,fun(nat,fun(nat,$o)),X1),X0))) = iG433(X0,X1) | zero_zero(nat) = X0) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26205])).
% 8.48/2.14  tff(f44968,plain,(
% 8.48/2.14    ( ! [X2 : nat,X3 : nat] : (zero_zero(nat) = iG434(X2,X3) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26204])).
% 8.48/2.14  tff(f26204,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : (aa(nat,nat,suc,divide_divide(nat,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),X0),X0)) = iG434(X0,X1) | zero_zero(nat) = X0 | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) & ! [X2 : nat,X3 : nat] : (zero_zero(nat) = iG434(X2,X3) | (zero_zero(nat) != X2 & ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2))))),
% 8.48/2.14    inference(flattening,[],[f26203])).
% 8.48/2.14  tff(f26203,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : (aa(nat,nat,suc,divide_divide(nat,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),X0),X0)) = iG434(X0,X1) | (zero_zero(nat) = X0 | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)))) & ! [X2 : nat,X3 : nat] : (zero_zero(nat) = iG434(X2,X3) | (zero_zero(nat) != X2 & ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2))))),
% 8.48/2.14    inference(ennf_transformation,[],[f20570])).
% 8.48/2.14  tff(f20570,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : (~(zero_zero(nat) = X0 | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) => aa(nat,nat,suc,divide_divide(nat,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),X0),X0)) = iG434(X0,X1)) & ! [X2 : nat,X3 : nat] : ((zero_zero(nat) = X2 | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2))) => zero_zero(nat) = iG434(X2,X3))),
% 8.48/2.14    inference(rectify,[],[f14559])).
% 8.48/2.14  tff(f14559,plain,(
% 8.48/2.14    ! [X1 : nat,X0 : nat] : (~(zero_zero(nat) = X1 | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X0),X1))) => aa(nat,nat,suc,divide_divide(nat,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),X1),X1)) = iG434(X1,X0)) & ! [X1 : nat,X0 : nat] : ((zero_zero(nat) = X1 | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X0),X1))) => zero_zero(nat) = iG434(X1,X0))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG434])])).
% 8.48/2.14  tff(f61478,plain,(
% 8.48/2.14    ( ! [X3 : nat] : (zero_zero(nat) = iG434(zero_zero(nat),X3)) )),
% 8.48/2.14    inference(equality_resolution,[],[f44969])).
% 8.48/2.14  tff(f44969,plain,(
% 8.48/2.14    ( ! [X2 : nat,X3 : nat] : (zero_zero(nat) = iG434(X2,X3) | zero_zero(nat) != X2) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26204])).
% 8.48/2.14  tff(f44970,plain,(
% 8.48/2.14    ( ! [X0 : nat,X1 : nat] : (aa(nat,nat,suc,divide_divide(nat,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),X0),X0)) = iG434(X0,X1) | zero_zero(nat) = X0 | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26204])).
% 8.48/2.14  tff(f61477,plain,(
% 8.48/2.14    ( ! [X2 : $tType] : (aa(list(list(X2)),list(list(X2)),cons(list(X2),nil(X2)),nil(list(X2))) = iG435(X2,zero_zero(nat))) )),
% 8.48/2.14    inference(equality_resolution,[],[f44966])).
% 8.48/2.14  tff(f44966,plain,(
% 8.48/2.14    ( ! [X2 : $tType,X3 : nat] : (aa(list(list(X2)),list(list(X2)),cons(list(X2),nil(X2)),nil(list(X2))) = iG435(X2,X3) | zero_zero(nat) != X3) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26202])).
% 8.48/2.14  tff(f26202,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : nat] : (nil(list(X0)) = iG435(X0,X1) | zero_zero(nat) = X1) & ! [X2 : $tType,X3 : nat] : (aa(list(list(X2)),list(list(X2)),cons(list(X2),nil(X2)),nil(list(X2))) = iG435(X2,X3) | zero_zero(nat) != X3)),
% 8.48/2.14    inference(ennf_transformation,[],[f20569])).
% 8.48/2.14  tff(f20569,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : nat] : (zero_zero(nat) != X1 => nil(list(X0)) = iG435(X0,X1)) & ! [X2 : $tType,X3 : nat] : (zero_zero(nat) = X3 => aa(list(list(X2)),list(list(X2)),cons(list(X2),nil(X2)),nil(list(X2))) = iG435(X2,X3))),
% 8.48/2.14    inference(flattening,[],[f20568])).
% 8.48/2.14  tff(f20568,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : nat] : (~zero_zero(nat) = X1 => nil(list(X0)) = iG435(X0,X1)) & ! [X2 : $tType,X3 : nat] : (zero_zero(nat) = X3 => aa(list(list(X2)),list(list(X2)),cons(list(X2),nil(X2)),nil(list(X2))) = iG435(X2,X3))),
% 8.48/2.14    inference(rectify,[],[f14562])).
% 8.48/2.14  tff(f14562,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : nat] : (~zero_zero(nat) = X1 => nil(list(X0)) = iG435(X0,X1)) & ! [X0 : $tType,X1 : nat] : (zero_zero(nat) = X1 => aa(list(list(X0)),list(list(X0)),cons(list(X0),nil(X0)),nil(list(X0))) = iG435(X0,X1))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG435])])).
% 8.48/2.14  tff(f44967,plain,(
% 8.48/2.14    ( ! [X0 : $tType,X1 : nat] : (nil(list(X0)) = iG435(X0,X1) | zero_zero(nat) = X1) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26202])).
% 8.48/2.14  tff(f61476,plain,(
% 8.48/2.14    ( ! [X3 : real] : (zero_zero(real) = iG436(zero_zero(nat),X3)) )),
% 8.48/2.14    inference(equality_resolution,[],[f44964])).
% 8.48/2.14  tff(f44964,plain,(
% 8.48/2.14    ( ! [X2 : nat,X3 : real] : (zero_zero(real) = iG436(X2,X3) | zero_zero(nat) != X2) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26201])).
% 8.48/2.14  tff(f26201,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : real] : (the_inv_into(real,real,top_top(set(real)),aTP_Lamp_qw(nat,fun(real,real),X0),X1) = iG436(X0,X1) | zero_zero(nat) = X0) & ! [X2 : nat,X3 : real] : (zero_zero(real) = iG436(X2,X3) | zero_zero(nat) != X2)),
% 8.48/2.14    inference(ennf_transformation,[],[f20567])).
% 8.48/2.14  tff(f20567,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : real] : (zero_zero(nat) != X0 => the_inv_into(real,real,top_top(set(real)),aTP_Lamp_qw(nat,fun(real,real),X0),X1) = iG436(X0,X1)) & ! [X2 : nat,X3 : real] : (zero_zero(nat) = X2 => zero_zero(real) = iG436(X2,X3))),
% 8.48/2.14    inference(flattening,[],[f20566])).
% 8.48/2.14  tff(f20566,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : real] : (~zero_zero(nat) = X0 => the_inv_into(real,real,top_top(set(real)),aTP_Lamp_qw(nat,fun(real,real),X0),X1) = iG436(X0,X1)) & ! [X2 : nat,X3 : real] : (zero_zero(nat) = X2 => zero_zero(real) = iG436(X2,X3))),
% 8.48/2.14    inference(rectify,[],[f14565])).
% 8.48/2.14  tff(f14565,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : real] : (~zero_zero(nat) = X0 => the_inv_into(real,real,top_top(set(real)),aTP_Lamp_qw(nat,fun(real,real),X0),X1) = iG436(X0,X1)) & ! [X0 : nat,X1 : real] : (zero_zero(nat) = X0 => zero_zero(real) = iG436(X0,X1))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG436])])).
% 8.48/2.14  tff(f44965,plain,(
% 8.48/2.14    ( ! [X0 : nat,X1 : real] : (the_inv_into(real,real,top_top(set(real)),aTP_Lamp_qw(nat,fun(real,real),X0),X1) = iG436(X0,X1) | zero_zero(nat) = X0) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26201])).
% 8.48/2.14  tff(f44962,plain,(
% 8.48/2.14    ( ! [X2 : nat,X3 : nat] : (aa(nat,nat,binomial(X3),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),X2)) = iG437(X2,X3) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X2)))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26200])).
% 8.48/2.14  tff(f26200,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : (iG437(X0,X1) = divide_divide(nat,set_fo6178422350223883121st_nat(nat,times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),X0)),one_one(nat)),X1,one_one(nat)),semiring_char_0_fact(nat,X0)) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X0)))) & ! [X2 : nat,X3 : nat] : (aa(nat,nat,binomial(X3),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),X2)) = iG437(X2,X3) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X2))))),
% 8.48/2.14    inference(ennf_transformation,[],[f20565])).
% 8.48/2.14  tff(f20565,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X0))) => iG437(X0,X1) = divide_divide(nat,set_fo6178422350223883121st_nat(nat,times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),X0)),one_one(nat)),X1,one_one(nat)),semiring_char_0_fact(nat,X0))) & ! [X2 : nat,X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X2))) => aa(nat,nat,binomial(X3),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),X2)) = iG437(X2,X3))),
% 8.48/2.14    inference(flattening,[],[f20564])).
% 8.48/2.14  tff(f20564,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X0))) => iG437(X0,X1) = divide_divide(nat,set_fo6178422350223883121st_nat(nat,times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),X0)),one_one(nat)),X1,one_one(nat)),semiring_char_0_fact(nat,X0))) & ! [X2 : nat,X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X2))) => aa(nat,nat,binomial(X3),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),X2)) = iG437(X2,X3))),
% 8.48/2.14    inference(rectify,[],[f14568])).
% 8.48/2.14  tff(f14568,plain,(
% 8.48/2.14    ! [X1 : nat,X0 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X0),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X1))) => divide_divide(nat,set_fo6178422350223883121st_nat(nat,times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),X1)),one_one(nat)),X0,one_one(nat)),semiring_char_0_fact(nat,X1)) = iG437(X1,X0)) & ! [X1 : nat,X0 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X0),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X1))) => aa(nat,nat,binomial(X0),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),X1)) = iG437(X1,X0))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG437])])).
% 8.48/2.14  tff(f44963,plain,(
% 8.48/2.14    ( ! [X0 : nat,X1 : nat] : (iG437(X0,X1) = divide_divide(nat,set_fo6178422350223883121st_nat(nat,times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),X0)),one_one(nat)),X1,one_one(nat)),semiring_char_0_fact(nat,X0)) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X0)))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26200])).
% 8.48/2.14  tff(f44960,plain,(
% 8.48/2.14    ( ! [X2 : nat,X3 : nat] : (zero_zero(nat) = iG438(X2,X3) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26199])).
% 8.48/2.14  tff(f26199,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : (iG437(X0,X1) = iG438(X0,X1) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) & ! [X2 : nat,X3 : nat] : (zero_zero(nat) = iG438(X2,X3) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)))),
% 8.48/2.14    inference(ennf_transformation,[],[f20563])).
% 8.48/2.14  tff(f20563,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) => iG437(X0,X1) = iG438(X0,X1)) & ! [X2 : nat,X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)) => zero_zero(nat) = iG438(X2,X3))),
% 8.48/2.14    inference(flattening,[],[f20562])).
% 8.48/2.14  tff(f20562,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) => iG437(X0,X1) = iG438(X0,X1)) & ! [X2 : nat,X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)) => zero_zero(nat) = iG438(X2,X3))),
% 8.48/2.14    inference(rectify,[],[f14569])).
% 8.48/2.14  tff(f14569,plain,(
% 8.48/2.14    ! [X1 : nat,X0 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X0),X1)) => iG437(X1,X0) = iG438(X1,X0)) & ! [X1 : nat,X0 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X0),X1)) => zero_zero(nat) = iG438(X1,X0))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG438])])).
% 8.48/2.14  tff(f44961,plain,(
% 8.48/2.14    ( ! [X0 : nat,X1 : nat] : (iG437(X0,X1) = iG438(X0,X1) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26199])).
% 8.48/2.14  tff(f44958,plain,(
% 8.48/2.14    ( ! [X2 : nat,X3 : nat] : (aa(list(nat),list(nat),aa(list(nat),fun(list(nat),list(nat)),append(nat),upt(X3,X2)),aa(list(nat),list(nat),cons(nat,X2),nil(nat))) = iG439(X2,X3) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),X2))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26198])).
% 8.48/2.14  tff(f26198,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : (nil(nat) = iG439(X0,X1) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X0))) & ! [X2 : nat,X3 : nat] : (aa(list(nat),list(nat),aa(list(nat),fun(list(nat),list(nat)),append(nat),upt(X3,X2)),aa(list(nat),list(nat),cons(nat,X2),nil(nat))) = iG439(X2,X3) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),X2)))),
% 8.48/2.14    inference(ennf_transformation,[],[f20561])).
% 8.48/2.14  tff(f20561,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X0)) => nil(nat) = iG439(X0,X1)) & ! [X2 : nat,X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),X2)) => aa(list(nat),list(nat),aa(list(nat),fun(list(nat),list(nat)),append(nat),upt(X3,X2)),aa(list(nat),list(nat),cons(nat,X2),nil(nat))) = iG439(X2,X3))),
% 8.48/2.14    inference(flattening,[],[f20560])).
% 8.48/2.14  tff(f20560,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X0)) => nil(nat) = iG439(X0,X1)) & ! [X2 : nat,X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),X2)) => aa(list(nat),list(nat),aa(list(nat),fun(list(nat),list(nat)),append(nat),upt(X3,X2)),aa(list(nat),list(nat),cons(nat,X2),nil(nat))) = iG439(X2,X3))),
% 8.48/2.14    inference(rectify,[],[f14572])).
% 8.48/2.14  tff(f14572,plain,(
% 8.48/2.14    ! [X1 : nat,X0 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X0),X1)) => nil(nat) = iG439(X1,X0)) & ! [X1 : nat,X0 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X0),X1)) => aa(list(nat),list(nat),aa(list(nat),fun(list(nat),list(nat)),append(nat),upt(X0,X1)),aa(list(nat),list(nat),cons(nat,X1),nil(nat))) = iG439(X1,X0))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG439])])).
% 8.48/2.14  tff(f44959,plain,(
% 8.48/2.14    ( ! [X0 : nat,X1 : nat] : (nil(nat) = iG439(X0,X1) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26198])).
% 8.48/2.14  tff(f44956,plain,(
% 8.48/2.14    ( ! [X2 : nat,X3 : nat] : (aa(set(nat),set(nat),insert(nat,X2),set_or7035219750837199246ssThan(nat,X3,X2)) = iG440(X2,X3) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),X2))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26197])).
% 8.48/2.14  tff(f26197,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : (bot_bot(set(nat)) = iG440(X0,X1) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X0))) & ! [X2 : nat,X3 : nat] : (aa(set(nat),set(nat),insert(nat,X2),set_or7035219750837199246ssThan(nat,X3,X2)) = iG440(X2,X3) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),X2)))),
% 8.48/2.14    inference(ennf_transformation,[],[f20559])).
% 8.48/2.14  tff(f20559,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X0)) => bot_bot(set(nat)) = iG440(X0,X1)) & ! [X2 : nat,X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),X2)) => aa(set(nat),set(nat),insert(nat,X2),set_or7035219750837199246ssThan(nat,X3,X2)) = iG440(X2,X3))),
% 8.48/2.14    inference(flattening,[],[f20558])).
% 8.48/2.14  tff(f20558,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X0)) => bot_bot(set(nat)) = iG440(X0,X1)) & ! [X2 : nat,X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),X2)) => aa(set(nat),set(nat),insert(nat,X2),set_or7035219750837199246ssThan(nat,X3,X2)) = iG440(X2,X3))),
% 8.48/2.14    inference(rectify,[],[f14577])).
% 8.48/2.14  tff(f14577,plain,(
% 8.48/2.14    ! [X1 : nat,X0 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X0),X1)) => bot_bot(set(nat)) = iG440(X1,X0)) & ! [X1 : nat,X0 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X0),X1)) => aa(set(nat),set(nat),insert(nat,X1),set_or7035219750837199246ssThan(nat,X0,X1)) = iG440(X1,X0))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG440])])).
% 8.48/2.14  tff(f44957,plain,(
% 8.48/2.14    ( ! [X0 : nat,X1 : nat] : (bot_bot(set(nat)) = iG440(X0,X1) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26197])).
% 8.48/2.14  tff(f44954,plain,(
% 8.48/2.14    ( ! [X2 : nat,X3 : nat] : (zero_zero(nat) = iG441(X2,X3) | aa(nat,nat,suc,modulo_modulo(nat,X3,X2)) != X2) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26196])).
% 8.48/2.14  tff(f26196,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : (aa(nat,nat,suc,modulo_modulo(nat,X1,X0)) = iG441(X0,X1) | aa(nat,nat,suc,modulo_modulo(nat,X1,X0)) = X0) & ! [X2 : nat,X3 : nat] : (zero_zero(nat) = iG441(X2,X3) | aa(nat,nat,suc,modulo_modulo(nat,X3,X2)) != X2)),
% 8.48/2.14    inference(ennf_transformation,[],[f20557])).
% 8.48/2.14  tff(f20557,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : (aa(nat,nat,suc,modulo_modulo(nat,X1,X0)) != X0 => aa(nat,nat,suc,modulo_modulo(nat,X1,X0)) = iG441(X0,X1)) & ! [X2 : nat,X3 : nat] : (aa(nat,nat,suc,modulo_modulo(nat,X3,X2)) = X2 => zero_zero(nat) = iG441(X2,X3))),
% 8.48/2.14    inference(flattening,[],[f20556])).
% 8.48/2.14  tff(f20556,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : (~aa(nat,nat,suc,modulo_modulo(nat,X1,X0)) = X0 => aa(nat,nat,suc,modulo_modulo(nat,X1,X0)) = iG441(X0,X1)) & ! [X2 : nat,X3 : nat] : (aa(nat,nat,suc,modulo_modulo(nat,X3,X2)) = X2 => zero_zero(nat) = iG441(X2,X3))),
% 8.48/2.14    inference(rectify,[],[f14580])).
% 8.48/2.14  tff(f14580,plain,(
% 8.48/2.14    ! [X1 : nat,X0 : nat] : (~aa(nat,nat,suc,modulo_modulo(nat,X0,X1)) = X1 => aa(nat,nat,suc,modulo_modulo(nat,X0,X1)) = iG441(X1,X0)) & ! [X1 : nat,X0 : nat] : (aa(nat,nat,suc,modulo_modulo(nat,X0,X1)) = X1 => zero_zero(nat) = iG441(X1,X0))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG441])])).
% 8.48/2.14  tff(f44955,plain,(
% 8.48/2.14    ( ! [X0 : nat,X1 : nat] : (aa(nat,nat,suc,modulo_modulo(nat,X1,X0)) = iG441(X0,X1) | aa(nat,nat,suc,modulo_modulo(nat,X1,X0)) = X0) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26196])).
% 8.48/2.14  tff(f61475,plain,(
% 8.48/2.14    ( ! [X3 : $tType] : (zero_zero(nat) = iG442(X3,nil(X3))) )),
% 8.48/2.14    inference(equality_resolution,[],[f44952])).
% 8.48/2.14  tff(f44952,plain,(
% 8.48/2.14    ( ! [X3 : $tType,X2 : list(X3)] : (zero_zero(nat) = iG442(X3,X2) | nil(X3) != X2) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26195])).
% 8.48/2.14  tff(f26195,plain,(
% 8.48/2.14    ! [X0 : list(X1),X1 : $tType] : (aa(nat,nat,suc,aa(list(X1),nat,size_size(list(X1)),aa(list(X1),list(X1),tl(X1),X0))) = iG442(X1,X0) | nil(X1) = X0) & ! [X2 : list(X3),X3 : $tType] : (zero_zero(nat) = iG442(X3,X2) | nil(X3) != X2)),
% 8.48/2.14    inference(ennf_transformation,[],[f20555])).
% 8.48/2.14  tff(f20555,plain,(
% 8.48/2.14    ! [X0 : list(X1),X1 : $tType] : (nil(X1) != X0 => aa(nat,nat,suc,aa(list(X1),nat,size_size(list(X1)),aa(list(X1),list(X1),tl(X1),X0))) = iG442(X1,X0)) & ! [X2 : list(X3),X3 : $tType] : (nil(X3) = X2 => zero_zero(nat) = iG442(X3,X2))),
% 8.48/2.14    inference(flattening,[],[f20554])).
% 8.48/2.14  tff(f20554,plain,(
% 8.48/2.14    ! [X0 : list(X1),X1 : $tType] : (~nil(X1) = X0 => aa(nat,nat,suc,aa(list(X1),nat,size_size(list(X1)),aa(list(X1),list(X1),tl(X1),X0))) = iG442(X1,X0)) & ! [X2 : list(X3),X3 : $tType] : (nil(X3) = X2 => zero_zero(nat) = iG442(X3,X2))),
% 8.48/2.14    inference(rectify,[],[f14583])).
% 8.48/2.14  tff(f14583,plain,(
% 8.48/2.14    ! [X1 : list(X0),X0 : $tType] : (~nil(X0) = X1 => aa(nat,nat,suc,aa(list(X0),nat,size_size(list(X0)),aa(list(X0),list(X0),tl(X0),X1))) = iG442(X0,X1)) & ! [X1 : list(X0),X0 : $tType] : (nil(X0) = X1 => zero_zero(nat) = iG442(X0,X1))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG442])])).
% 8.48/2.14  tff(f44953,plain,(
% 8.48/2.14    ( ! [X1 : $tType,X0 : list(X1)] : (aa(nat,nat,suc,aa(list(X1),nat,size_size(list(X1)),aa(list(X1),list(X1),tl(X1),X0))) = iG442(X1,X0) | nil(X1) = X0) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26195])).
% 8.48/2.14  tff(f44950,plain,(
% 8.48/2.14    ( ! [X2 : num,X3 : nat] : (aa(set(nat),set(nat),insert(nat,pred_numeral(X2)),set_or7035219750837199246ssThan(nat,X3,pred_numeral(X2))) = iG443(X2,X3) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),pred_numeral(X2)))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26194])).
% 8.48/2.14  tff(f26194,plain,(
% 8.48/2.14    ! [X0 : num,X1 : nat] : (bot_bot(set(nat)) = iG443(X0,X1) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),pred_numeral(X0)))) & ! [X2 : num,X3 : nat] : (aa(set(nat),set(nat),insert(nat,pred_numeral(X2)),set_or7035219750837199246ssThan(nat,X3,pred_numeral(X2))) = iG443(X2,X3) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),pred_numeral(X2))))),
% 8.48/2.14    inference(ennf_transformation,[],[f20553])).
% 8.48/2.14  tff(f20553,plain,(
% 8.48/2.14    ! [X0 : num,X1 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),pred_numeral(X0))) => bot_bot(set(nat)) = iG443(X0,X1)) & ! [X2 : num,X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),pred_numeral(X2))) => aa(set(nat),set(nat),insert(nat,pred_numeral(X2)),set_or7035219750837199246ssThan(nat,X3,pred_numeral(X2))) = iG443(X2,X3))),
% 8.48/2.14    inference(flattening,[],[f20552])).
% 8.48/2.14  tff(f20552,plain,(
% 8.48/2.14    ! [X0 : num,X1 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),pred_numeral(X0))) => bot_bot(set(nat)) = iG443(X0,X1)) & ! [X2 : num,X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),pred_numeral(X2))) => aa(set(nat),set(nat),insert(nat,pred_numeral(X2)),set_or7035219750837199246ssThan(nat,X3,pred_numeral(X2))) = iG443(X2,X3))),
% 8.48/2.14    inference(rectify,[],[f14586])).
% 8.48/2.14  tff(f14586,plain,(
% 8.48/2.14    ! [X1 : num,X0 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X0),pred_numeral(X1))) => bot_bot(set(nat)) = iG443(X1,X0)) & ! [X1 : num,X0 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X0),pred_numeral(X1))) => aa(set(nat),set(nat),insert(nat,pred_numeral(X1)),set_or7035219750837199246ssThan(nat,X0,pred_numeral(X1))) = iG443(X1,X0))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG443])])).
% 8.48/2.14  tff(f44951,plain,(
% 8.48/2.14    ( ! [X0 : num,X1 : nat] : (bot_bot(set(nat)) = iG443(X0,X1) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),pred_numeral(X0)))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26194])).
% 8.48/2.14  tff(f44948,plain,(
% 8.48/2.14    ( ! [X2 : int,X3 : int] : (zero_zero(int) = iG444(X2,X3) | zero_zero(int) != modulo_modulo(int,X3,X2)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26193])).
% 8.48/2.14  tff(f26193,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),modulo_modulo(int,X1,X0)),X0) = iG444(X0,X1) | zero_zero(int) = modulo_modulo(int,X1,X0)) & ! [X2 : int,X3 : int] : (zero_zero(int) = iG444(X2,X3) | zero_zero(int) != modulo_modulo(int,X3,X2))),
% 8.48/2.14    inference(ennf_transformation,[],[f20551])).
% 8.48/2.14  tff(f20551,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (zero_zero(int) != modulo_modulo(int,X1,X0) => aa(int,int,aa(int,fun(int,int),minus_minus(int),modulo_modulo(int,X1,X0)),X0) = iG444(X0,X1)) & ! [X2 : int,X3 : int] : (zero_zero(int) = modulo_modulo(int,X3,X2) => zero_zero(int) = iG444(X2,X3))),
% 8.48/2.14    inference(flattening,[],[f20550])).
% 8.48/2.14  tff(f20550,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (~zero_zero(int) = modulo_modulo(int,X1,X0) => aa(int,int,aa(int,fun(int,int),minus_minus(int),modulo_modulo(int,X1,X0)),X0) = iG444(X0,X1)) & ! [X2 : int,X3 : int] : (zero_zero(int) = modulo_modulo(int,X3,X2) => zero_zero(int) = iG444(X2,X3))),
% 8.48/2.14    inference(rectify,[],[f14589])).
% 8.48/2.14  tff(f14589,plain,(
% 8.48/2.14    ! [X1 : int,X0 : int] : (~zero_zero(int) = modulo_modulo(int,X0,X1) => aa(int,int,aa(int,fun(int,int),minus_minus(int),modulo_modulo(int,X0,X1)),X1) = iG444(X1,X0)) & ! [X1 : int,X0 : int] : (zero_zero(int) = modulo_modulo(int,X0,X1) => zero_zero(int) = iG444(X1,X0))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG444])])).
% 8.48/2.14  tff(f44949,plain,(
% 8.48/2.14    ( ! [X0 : int,X1 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),modulo_modulo(int,X1,X0)),X0) = iG444(X0,X1) | zero_zero(int) = modulo_modulo(int,X1,X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26193])).
% 8.48/2.14  tff(f44946,plain,(
% 8.48/2.14    ( ! [X2 : int,X3 : int] : (zero_zero(int) = iG445(X2,X3) | zero_zero(int) != modulo_modulo(int,X3,X2)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26192])).
% 8.48/2.14  tff(f26192,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X0),modulo_modulo(int,X1,X0)) = iG445(X0,X1) | zero_zero(int) = modulo_modulo(int,X1,X0)) & ! [X2 : int,X3 : int] : (zero_zero(int) = iG445(X2,X3) | zero_zero(int) != modulo_modulo(int,X3,X2))),
% 8.48/2.14    inference(ennf_transformation,[],[f20549])).
% 8.48/2.14  tff(f20549,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (zero_zero(int) != modulo_modulo(int,X1,X0) => aa(int,int,aa(int,fun(int,int),minus_minus(int),X0),modulo_modulo(int,X1,X0)) = iG445(X0,X1)) & ! [X2 : int,X3 : int] : (zero_zero(int) = modulo_modulo(int,X3,X2) => zero_zero(int) = iG445(X2,X3))),
% 8.48/2.14    inference(flattening,[],[f20548])).
% 8.48/2.14  tff(f20548,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (~zero_zero(int) = modulo_modulo(int,X1,X0) => aa(int,int,aa(int,fun(int,int),minus_minus(int),X0),modulo_modulo(int,X1,X0)) = iG445(X0,X1)) & ! [X2 : int,X3 : int] : (zero_zero(int) = modulo_modulo(int,X3,X2) => zero_zero(int) = iG445(X2,X3))),
% 8.48/2.14    inference(rectify,[],[f14592])).
% 8.48/2.14  tff(f14592,plain,(
% 8.48/2.14    ! [X1 : int,X0 : int] : (~zero_zero(int) = modulo_modulo(int,X0,X1) => aa(int,int,aa(int,fun(int,int),minus_minus(int),X1),modulo_modulo(int,X0,X1)) = iG445(X1,X0)) & ! [X1 : int,X0 : int] : (zero_zero(int) = modulo_modulo(int,X0,X1) => zero_zero(int) = iG445(X1,X0))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG445])])).
% 8.48/2.14  tff(f44947,plain,(
% 8.48/2.14    ( ! [X0 : int,X1 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X0),modulo_modulo(int,X1,X0)) = iG445(X0,X1) | zero_zero(int) = modulo_modulo(int,X1,X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26192])).
% 8.48/2.14  tff(f61474,plain,(
% 8.48/2.14    ( ! [X3 : int] : (iG446(zero_zero(int),X3) = X3) )),
% 8.48/2.14    inference(equality_resolution,[],[f44944])).
% 8.48/2.14  tff(f44944,plain,(
% 8.48/2.14    ( ! [X2 : int,X3 : int] : (iG446(X2,X3) = X3 | zero_zero(int) != X2) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26191])).
% 8.48/2.14  tff(f26191,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,abs_abs(int),aa(int,int,aa(int,fun(int,int),minus_minus(int),modulo_modulo(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),modulo_modulo(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))),aa(int,int,aa(int,fun(int,int),bit_se5824344971392196577ns_xor(int),divide_divide(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),divide_divide(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))))) = iG446(X0,X1) | zero_zero(int) = X0) & ! [X2 : int,X3 : int] : (iG446(X2,X3) = X3 | zero_zero(int) != X2)),
% 8.48/2.14    inference(ennf_transformation,[],[f20547])).
% 8.48/2.14  tff(f20547,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (zero_zero(int) != X0 => aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,abs_abs(int),aa(int,int,aa(int,fun(int,int),minus_minus(int),modulo_modulo(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),modulo_modulo(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))),aa(int,int,aa(int,fun(int,int),bit_se5824344971392196577ns_xor(int),divide_divide(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),divide_divide(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))))) = iG446(X0,X1)) & ! [X2 : int,X3 : int] : (zero_zero(int) = X2 => iG446(X2,X3) = X3)),
% 8.48/2.14    inference(flattening,[],[f20546])).
% 8.48/2.14  tff(f20546,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (~zero_zero(int) = X0 => aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,abs_abs(int),aa(int,int,aa(int,fun(int,int),minus_minus(int),modulo_modulo(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),modulo_modulo(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))),aa(int,int,aa(int,fun(int,int),bit_se5824344971392196577ns_xor(int),divide_divide(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),divide_divide(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))))) = iG446(X0,X1)) & ! [X2 : int,X3 : int] : (zero_zero(int) = X2 => iG446(X2,X3) = X3)),
% 8.48/2.14    inference(rectify,[],[f14595])).
% 8.48/2.14  tff(f14595,plain,(
% 8.48/2.14    ! [X1 : int,X0 : int] : (~zero_zero(int) = X1 => aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,abs_abs(int),aa(int,int,aa(int,fun(int,int),minus_minus(int),modulo_modulo(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),modulo_modulo(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))),aa(int,int,aa(int,fun(int,int),bit_se5824344971392196577ns_xor(int),divide_divide(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),divide_divide(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))))) = iG446(X1,X0)) & ! [X1 : int,X0 : int] : (zero_zero(int) = X1 => iG446(X1,X0) = X0)),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG446])])).
% 8.48/2.14  tff(f44945,plain,(
% 8.48/2.14    ( ! [X0 : int,X1 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,abs_abs(int),aa(int,int,aa(int,fun(int,int),minus_minus(int),modulo_modulo(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),modulo_modulo(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))),aa(int,int,aa(int,fun(int,int),bit_se5824344971392196577ns_xor(int),divide_divide(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),divide_divide(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))))) = iG446(X0,X1) | zero_zero(int) = X0) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26191])).
% 8.48/2.14  tff(f61473,plain,(
% 8.48/2.14    ( ! [X3 : int] : (iG447(zero_zero(int),X3) = X3) )),
% 8.48/2.14    inference(equality_resolution,[],[f44942])).
% 8.48/2.14  tff(f44942,plain,(
% 8.48/2.14    ( ! [X2 : int,X3 : int] : (iG447(X2,X3) = X3 | zero_zero(int) != X2) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26190])).
% 8.48/2.14  tff(f26190,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (iG446(X1,X0) = iG447(X0,X1) | zero_zero(int) = X0) & ! [X2 : int,X3 : int] : (iG447(X2,X3) = X3 | zero_zero(int) != X2)),
% 8.48/2.14    inference(ennf_transformation,[],[f20545])).
% 8.48/2.14  tff(f20545,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (zero_zero(int) != X0 => iG446(X1,X0) = iG447(X0,X1)) & ! [X2 : int,X3 : int] : (zero_zero(int) = X2 => iG447(X2,X3) = X3)),
% 8.48/2.14    inference(flattening,[],[f20544])).
% 8.48/2.14  tff(f20544,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (~zero_zero(int) = X0 => iG446(X1,X0) = iG447(X0,X1)) & ! [X2 : int,X3 : int] : (zero_zero(int) = X2 => iG447(X2,X3) = X3)),
% 8.48/2.14    inference(rectify,[],[f14596])).
% 8.48/2.14  tff(f14596,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (~zero_zero(int) = X0 => iG446(X1,X0) = iG447(X0,X1)) & ! [X0 : int,X1 : int] : (zero_zero(int) = X0 => iG447(X0,X1) = X1)),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG447])])).
% 8.48/2.14  tff(f44943,plain,(
% 8.48/2.14    ( ! [X0 : int,X1 : int] : (iG446(X1,X0) = iG447(X0,X1) | zero_zero(int) = X0) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26190])).
% 8.48/2.14  tff(f61472,plain,(
% 8.48/2.14    ( ! [X3 : int] : (aa(int,int,bit_ri4277139882892585799ns_not(int),X3) = iG448(aa(int,int,uminus_uminus(int),one_one(int)),X3)) )),
% 8.48/2.14    inference(equality_resolution,[],[f44940])).
% 8.48/2.14  tff(f44940,plain,(
% 8.48/2.14    ( ! [X2 : int,X3 : int] : (aa(int,int,bit_ri4277139882892585799ns_not(int),X3) = iG448(X2,X3) | aa(int,int,uminus_uminus(int),one_one(int)) != X2) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26189])).
% 8.48/2.14  tff(f26189,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (iG447(X1,X0) = iG448(X0,X1) | aa(int,int,uminus_uminus(int),one_one(int)) = X0) & ! [X2 : int,X3 : int] : (aa(int,int,bit_ri4277139882892585799ns_not(int),X3) = iG448(X2,X3) | aa(int,int,uminus_uminus(int),one_one(int)) != X2)),
% 8.48/2.14    inference(ennf_transformation,[],[f20543])).
% 8.48/2.14  tff(f20543,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (aa(int,int,uminus_uminus(int),one_one(int)) != X0 => iG447(X1,X0) = iG448(X0,X1)) & ! [X2 : int,X3 : int] : (aa(int,int,uminus_uminus(int),one_one(int)) = X2 => aa(int,int,bit_ri4277139882892585799ns_not(int),X3) = iG448(X2,X3))),
% 8.48/2.14    inference(flattening,[],[f20542])).
% 8.48/2.14  tff(f20542,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (~aa(int,int,uminus_uminus(int),one_one(int)) = X0 => iG447(X1,X0) = iG448(X0,X1)) & ! [X2 : int,X3 : int] : (aa(int,int,uminus_uminus(int),one_one(int)) = X2 => aa(int,int,bit_ri4277139882892585799ns_not(int),X3) = iG448(X2,X3))),
% 8.48/2.14    inference(rectify,[],[f14597])).
% 8.48/2.14  tff(f14597,plain,(
% 8.48/2.14    ! [X1 : int,X0 : int] : (~aa(int,int,uminus_uminus(int),one_one(int)) = X1 => iG447(X0,X1) = iG448(X1,X0)) & ! [X1 : int,X0 : int] : (aa(int,int,uminus_uminus(int),one_one(int)) = X1 => aa(int,int,bit_ri4277139882892585799ns_not(int),X0) = iG448(X1,X0))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG448])])).
% 8.48/2.14  tff(f44941,plain,(
% 8.48/2.14    ( ! [X0 : int,X1 : int] : (iG447(X1,X0) = iG448(X0,X1) | aa(int,int,uminus_uminus(int),one_one(int)) = X0) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26189])).
% 8.48/2.14  tff(f61471,plain,(
% 8.48/2.14    ( ! [X3 : int] : (aa(int,int,bit_ri4277139882892585799ns_not(int),X3) = iG449(aa(int,int,uminus_uminus(int),one_one(int)),X3)) )),
% 8.48/2.14    inference(equality_resolution,[],[f44938])).
% 8.48/2.14  tff(f44938,plain,(
% 8.48/2.14    ( ! [X2 : int,X3 : int] : (aa(int,int,bit_ri4277139882892585799ns_not(int),X3) = iG449(X2,X3) | aa(int,int,uminus_uminus(int),one_one(int)) != X2) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26188])).
% 8.48/2.14  tff(f26188,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (iG448(X1,X0) = iG449(X0,X1) | aa(int,int,uminus_uminus(int),one_one(int)) = X0) & ! [X2 : int,X3 : int] : (aa(int,int,bit_ri4277139882892585799ns_not(int),X3) = iG449(X2,X3) | aa(int,int,uminus_uminus(int),one_one(int)) != X2)),
% 8.48/2.14    inference(ennf_transformation,[],[f20541])).
% 8.48/2.14  tff(f20541,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (aa(int,int,uminus_uminus(int),one_one(int)) != X0 => iG448(X1,X0) = iG449(X0,X1)) & ! [X2 : int,X3 : int] : (aa(int,int,uminus_uminus(int),one_one(int)) = X2 => aa(int,int,bit_ri4277139882892585799ns_not(int),X3) = iG449(X2,X3))),
% 8.48/2.14    inference(flattening,[],[f20540])).
% 8.48/2.14  tff(f20540,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (~aa(int,int,uminus_uminus(int),one_one(int)) = X0 => iG448(X1,X0) = iG449(X0,X1)) & ! [X2 : int,X3 : int] : (aa(int,int,uminus_uminus(int),one_one(int)) = X2 => aa(int,int,bit_ri4277139882892585799ns_not(int),X3) = iG449(X2,X3))),
% 8.48/2.14    inference(rectify,[],[f14598])).
% 8.48/2.14  tff(f14598,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (~aa(int,int,uminus_uminus(int),one_one(int)) = X0 => iG448(X1,X0) = iG449(X0,X1)) & ! [X0 : int,X1 : int] : (aa(int,int,uminus_uminus(int),one_one(int)) = X0 => aa(int,int,bit_ri4277139882892585799ns_not(int),X1) = iG449(X0,X1))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG449])])).
% 8.48/2.14  tff(f44939,plain,(
% 8.48/2.14    ( ! [X0 : int,X1 : int] : (iG448(X1,X0) = iG449(X0,X1) | aa(int,int,uminus_uminus(int),one_one(int)) = X0) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26188])).
% 8.48/2.14  tff(f44934,plain,(
% 8.48/2.14    ( ! [X0 : int,X1 : int] : (($true = bG450(X0,X1)) | ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36361])).
% 8.48/2.14  tff(f36361,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : ((((dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0)) & (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1))) | ($true != bG450(X0,X1))) & (($true = bG450(X0,X1)) | ((dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)) & (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)))))),
% 8.48/2.14    inference(nnf_transformation,[],[f20539])).
% 8.48/2.14  tff(f20539,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : ((dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1) <=> ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0)) <=> ($true = bG450(X0,X1)))),
% 8.48/2.14    inference(rectify,[],[f14601])).
% 8.48/2.14  tff(f14601,plain,(
% 8.48/2.14    ! [X1 : int,X0 : int] : ((dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) <=> ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)) <=> ($true = bG450(X1,X0)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG450])])).
% 8.48/2.14  tff(f44935,plain,(
% 8.48/2.14    ( ! [X0 : int,X1 : int] : (($true = bG450(X0,X1)) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36361])).
% 8.48/2.14  tff(f44936,plain,(
% 8.48/2.14    ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1) | ($true != bG450(X0,X1))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36361])).
% 8.48/2.14  tff(f44937,plain,(
% 8.48/2.14    ( ! [X0 : int,X1 : int] : (dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | ($true != bG450(X0,X1))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36361])).
% 8.48/2.14  tff(f61470,plain,(
% 8.48/2.14    ( ! [X3 : int] : (iG451(zero_zero(int),X3) = X3) )),
% 8.48/2.14    inference(equality_resolution,[],[f44932])).
% 8.48/2.14  tff(f44932,plain,(
% 8.48/2.14    ( ! [X2 : int,X3 : int] : (iG451(X2,X3) = X3 | zero_zero(int) != X2) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26187])).
% 8.48/2.14  tff(f26187,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),ord_max(int),modulo_modulo(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),modulo_modulo(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))),aa(int,int,aa(int,fun(int,int),bit_se1065995026697491101ons_or(int),divide_divide(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),divide_divide(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))))) = iG451(X0,X1) | zero_zero(int) = X0) & ! [X2 : int,X3 : int] : (iG451(X2,X3) = X3 | zero_zero(int) != X2)),
% 8.48/2.14    inference(ennf_transformation,[],[f20538])).
% 8.48/2.14  tff(f20538,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (zero_zero(int) != X0 => aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),ord_max(int),modulo_modulo(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),modulo_modulo(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))),aa(int,int,aa(int,fun(int,int),bit_se1065995026697491101ons_or(int),divide_divide(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),divide_divide(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))))) = iG451(X0,X1)) & ! [X2 : int,X3 : int] : (zero_zero(int) = X2 => iG451(X2,X3) = X3)),
% 8.48/2.14    inference(flattening,[],[f20537])).
% 8.48/2.14  tff(f20537,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (~zero_zero(int) = X0 => aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),ord_max(int),modulo_modulo(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),modulo_modulo(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))),aa(int,int,aa(int,fun(int,int),bit_se1065995026697491101ons_or(int),divide_divide(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),divide_divide(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))))) = iG451(X0,X1)) & ! [X2 : int,X3 : int] : (zero_zero(int) = X2 => iG451(X2,X3) = X3)),
% 8.48/2.14    inference(rectify,[],[f14604])).
% 8.48/2.14  tff(f14604,plain,(
% 8.48/2.14    ! [X1 : int,X0 : int] : (~zero_zero(int) = X1 => aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),ord_max(int),modulo_modulo(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),modulo_modulo(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))),aa(int,int,aa(int,fun(int,int),bit_se1065995026697491101ons_or(int),divide_divide(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),divide_divide(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))))) = iG451(X1,X0)) & ! [X1 : int,X0 : int] : (zero_zero(int) = X1 => iG451(X1,X0) = X0)),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG451])])).
% 8.48/2.14  tff(f44933,plain,(
% 8.48/2.14    ( ! [X0 : int,X1 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),ord_max(int),modulo_modulo(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),modulo_modulo(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))),aa(int,int,aa(int,fun(int,int),bit_se1065995026697491101ons_or(int),divide_divide(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),divide_divide(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))))) = iG451(X0,X1) | zero_zero(int) = X0) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26187])).
% 8.48/2.14  tff(f61469,plain,(
% 8.48/2.14    ( ! [X3 : int] : (iG452(zero_zero(int),X3) = X3) )),
% 8.48/2.14    inference(equality_resolution,[],[f44930])).
% 8.48/2.14  tff(f44930,plain,(
% 8.48/2.14    ( ! [X2 : int,X3 : int] : (iG452(X2,X3) = X3 | zero_zero(int) != X2) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26186])).
% 8.48/2.14  tff(f26186,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (iG451(X1,X0) = iG452(X0,X1) | zero_zero(int) = X0) & ! [X2 : int,X3 : int] : (iG452(X2,X3) = X3 | zero_zero(int) != X2)),
% 8.48/2.14    inference(ennf_transformation,[],[f20536])).
% 8.48/2.14  tff(f20536,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (zero_zero(int) != X0 => iG451(X1,X0) = iG452(X0,X1)) & ! [X2 : int,X3 : int] : (zero_zero(int) = X2 => iG452(X2,X3) = X3)),
% 8.48/2.14    inference(flattening,[],[f20535])).
% 8.48/2.14  tff(f20535,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (~zero_zero(int) = X0 => iG451(X1,X0) = iG452(X0,X1)) & ! [X2 : int,X3 : int] : (zero_zero(int) = X2 => iG452(X2,X3) = X3)),
% 8.48/2.14    inference(rectify,[],[f14605])).
% 8.48/2.14  tff(f14605,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (~zero_zero(int) = X0 => iG451(X1,X0) = iG452(X0,X1)) & ! [X0 : int,X1 : int] : (zero_zero(int) = X0 => iG452(X0,X1) = X1)),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG452])])).
% 8.48/2.14  tff(f44931,plain,(
% 8.48/2.14    ( ! [X0 : int,X1 : int] : (iG451(X1,X0) = iG452(X0,X1) | zero_zero(int) = X0) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26186])).
% 8.48/2.14  tff(f61468,plain,(
% 8.48/2.14    ( ! [X2 : int] : (aa(int,int,uminus_uminus(int),one_one(int)) = iG453(X2,aa(int,int,uminus_uminus(int),one_one(int)))) )),
% 8.48/2.14    inference(equality_resolution,[],[f44927])).
% 8.48/2.14  tff(f44927,plain,(
% 8.48/2.14    ( ! [X2 : int,X3 : int] : (aa(int,int,uminus_uminus(int),one_one(int)) = iG453(X2,X3) | aa(int,int,uminus_uminus(int),one_one(int)) != X3) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26185])).
% 8.48/2.14  tff(f26185,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (iG452(X1,X0) = iG453(X0,X1) | aa(int,int,uminus_uminus(int),one_one(int)) = X0 | aa(int,int,uminus_uminus(int),one_one(int)) = X1) & ! [X2 : int,X3 : int] : (aa(int,int,uminus_uminus(int),one_one(int)) = iG453(X2,X3) | (aa(int,int,uminus_uminus(int),one_one(int)) != X2 & aa(int,int,uminus_uminus(int),one_one(int)) != X3))),
% 8.48/2.14    inference(flattening,[],[f26184])).
% 8.48/2.14  tff(f26184,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (iG452(X1,X0) = iG453(X0,X1) | (aa(int,int,uminus_uminus(int),one_one(int)) = X0 | aa(int,int,uminus_uminus(int),one_one(int)) = X1)) & ! [X2 : int,X3 : int] : (aa(int,int,uminus_uminus(int),one_one(int)) = iG453(X2,X3) | (aa(int,int,uminus_uminus(int),one_one(int)) != X2 & aa(int,int,uminus_uminus(int),one_one(int)) != X3))),
% 8.48/2.14    inference(ennf_transformation,[],[f20534])).
% 8.48/2.14  tff(f20534,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (~(aa(int,int,uminus_uminus(int),one_one(int)) = X0 | aa(int,int,uminus_uminus(int),one_one(int)) = X1) => iG452(X1,X0) = iG453(X0,X1)) & ! [X2 : int,X3 : int] : ((aa(int,int,uminus_uminus(int),one_one(int)) = X2 | aa(int,int,uminus_uminus(int),one_one(int)) = X3) => aa(int,int,uminus_uminus(int),one_one(int)) = iG453(X2,X3))),
% 8.48/2.14    inference(rectify,[],[f14606])).
% 8.48/2.14  tff(f14606,plain,(
% 8.48/2.14    ! [X1 : int,X0 : int] : (~(aa(int,int,uminus_uminus(int),one_one(int)) = X1 | aa(int,int,uminus_uminus(int),one_one(int)) = X0) => iG452(X0,X1) = iG453(X1,X0)) & ! [X1 : int,X0 : int] : ((aa(int,int,uminus_uminus(int),one_one(int)) = X1 | aa(int,int,uminus_uminus(int),one_one(int)) = X0) => aa(int,int,uminus_uminus(int),one_one(int)) = iG453(X1,X0))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG453])])).
% 8.48/2.14  tff(f61467,plain,(
% 8.48/2.14    ( ! [X3 : int] : (aa(int,int,uminus_uminus(int),one_one(int)) = iG453(aa(int,int,uminus_uminus(int),one_one(int)),X3)) )),
% 8.48/2.14    inference(equality_resolution,[],[f44928])).
% 8.48/2.14  tff(f44928,plain,(
% 8.48/2.14    ( ! [X2 : int,X3 : int] : (aa(int,int,uminus_uminus(int),one_one(int)) = iG453(X2,X3) | aa(int,int,uminus_uminus(int),one_one(int)) != X2) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26185])).
% 8.48/2.14  tff(f44929,plain,(
% 8.48/2.14    ( ! [X0 : int,X1 : int] : (iG452(X1,X0) = iG453(X0,X1) | aa(int,int,uminus_uminus(int),one_one(int)) = X0 | aa(int,int,uminus_uminus(int),one_one(int)) = X1) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26185])).
% 8.48/2.14  tff(f44924,plain,(
% 8.48/2.14    ( ! [X0 : int,X1 : int] : (($true = bG454(X0,X1)) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36360])).
% 8.48/2.14  tff(f36360,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : ((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1) | ($true != bG454(X0,X1))) & (($true = bG454(X0,X1)) | (dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) & dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1))))),
% 8.48/2.14    inference(flattening,[],[f36359])).
% 8.48/2.14  tff(f36359,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)) | ($true != bG454(X0,X1))) & (($true = bG454(X0,X1)) | (dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) & dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1))))),
% 8.48/2.14    inference(nnf_transformation,[],[f20533])).
% 8.48/2.14  tff(f20533,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : ((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)) <=> ($true = bG454(X0,X1)))),
% 8.48/2.14    inference(rectify,[],[f14609])).
% 8.48/2.14  tff(f14609,plain,(
% 8.48/2.14    ! [X1 : int,X0 : int] : ((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1) | ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0)) <=> ($true = bG454(X1,X0)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG454])])).
% 8.48/2.14  tff(f44925,plain,(
% 8.48/2.14    ( ! [X0 : int,X1 : int] : (($true = bG454(X0,X1)) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36360])).
% 8.48/2.14  tff(f44926,plain,(
% 8.48/2.14    ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1) | ($true != bG454(X0,X1))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36360])).
% 8.48/2.14  tff(f44921,plain,(
% 8.48/2.14    ( ! [X0 : int,X1 : int] : (($true = bG455(X0,X1)) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36358])).
% 8.48/2.14  tff(f36358,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) & ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)) | ($true != bG455(X0,X1))) & (($true = bG455(X0,X1)) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)))),
% 8.48/2.14    inference(flattening,[],[f36357])).
% 8.48/2.14  tff(f36357,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) & ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)) | ($true != bG455(X0,X1))) & (($true = bG455(X0,X1)) | (dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1))))),
% 8.48/2.14    inference(nnf_transformation,[],[f20532])).
% 8.48/2.14  tff(f20532,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : ((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) & ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)) <=> ($true = bG455(X0,X1)))),
% 8.48/2.14    inference(rectify,[],[f14612])).
% 8.48/2.14  tff(f14612,plain,(
% 8.48/2.14    ! [X1 : int,X0 : int] : ((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1) & ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0)) <=> ($true = bG455(X1,X0)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG455])])).
% 8.48/2.14  tff(f44922,plain,(
% 8.48/2.14    ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1) | ($true != bG455(X0,X1))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36358])).
% 8.48/2.14  tff(f44923,plain,(
% 8.48/2.14    ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | ($true != bG455(X0,X1))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36358])).
% 8.48/2.14  tff(f44918,plain,(
% 8.48/2.14    ( ! [X0 : int,X1 : int] : (($true = bG456(X0,X1)) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36356])).
% 8.48/2.14  tff(f36356,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) & ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)) | ($true != bG456(X0,X1))) & (($true = bG456(X0,X1)) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)))),
% 8.48/2.14    inference(flattening,[],[f36355])).
% 8.48/2.14  tff(f36355,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) & ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)) | ($true != bG456(X0,X1))) & (($true = bG456(X0,X1)) | (dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1))))),
% 8.48/2.14    inference(nnf_transformation,[],[f20531])).
% 8.48/2.14  tff(f20531,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : ((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) & ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)) <=> ($true = bG456(X0,X1)))),
% 8.48/2.14    inference(rectify,[],[f14613])).
% 8.48/2.14  tff(f14613,plain,(
% 8.48/2.14    ! [X1 : int,X0 : int] : ((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1) & ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0)) <=> ($true = bG456(X1,X0)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG456])])).
% 8.48/2.14  tff(f44919,plain,(
% 8.48/2.14    ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1) | ($true != bG456(X0,X1))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36356])).
% 8.48/2.14  tff(f44920,plain,(
% 8.48/2.14    ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | ($true != bG456(X0,X1))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36356])).
% 8.48/2.14  tff(f44915,plain,(
% 8.48/2.14    ( ! [X2 : int,X3 : int] : (aa(int,int,uminus_uminus(int),aa($o,int,zero_neq_one_of_bool(int),bG455(X2,X3))) = iG457(X2,X3) | ~member(int,X2,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int))))) | ~member(int,X3,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int)))))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26183])).
% 8.48/2.14  tff(f26183,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),aa($o,int,zero_neq_one_of_bool(int),bG456(X0,X1))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))),aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),divide_divide(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),divide_divide(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))))) = iG457(X0,X1) | (member(int,X0,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int))))) & member(int,X1,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int))))))) & ! [X2 : int,X3 : int] : (aa(int,int,uminus_uminus(int),aa($o,int,zero_neq_one_of_bool(int),bG455(X2,X3))) = iG457(X2,X3) | ~member(int,X2,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int))))) | ~member(int,X3,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int))))))),
% 8.48/2.14    inference(flattening,[],[f26182])).
% 8.48/2.14  tff(f26182,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),aa($o,int,zero_neq_one_of_bool(int),bG456(X0,X1))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))),aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),divide_divide(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),divide_divide(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))))) = iG457(X0,X1) | (member(int,X0,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int))))) & member(int,X1,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int))))))) & ! [X2 : int,X3 : int] : (aa(int,int,uminus_uminus(int),aa($o,int,zero_neq_one_of_bool(int),bG455(X2,X3))) = iG457(X2,X3) | (~member(int,X2,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int))))) | ~member(int,X3,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int)))))))),
% 8.48/2.14    inference(ennf_transformation,[],[f20530])).
% 8.48/2.14  tff(f20530,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (~(member(int,X0,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int))))) & member(int,X1,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int)))))) => aa(int,int,aa(int,fun(int,int),plus_plus(int),aa($o,int,zero_neq_one_of_bool(int),bG456(X0,X1))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))),aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),divide_divide(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),divide_divide(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))))) = iG457(X0,X1)) & ! [X2 : int,X3 : int] : ((member(int,X2,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int))))) & member(int,X3,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int)))))) => aa(int,int,uminus_uminus(int),aa($o,int,zero_neq_one_of_bool(int),bG455(X2,X3))) = iG457(X2,X3))),
% 8.48/2.14    inference(rectify,[],[f14614])).
% 8.48/2.14  tff(f14614,plain,(
% 8.48/2.14    ! [X1 : int,X0 : int] : (~(member(int,X1,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int))))) & member(int,X0,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int)))))) => aa(int,int,aa(int,fun(int,int),plus_plus(int),aa($o,int,zero_neq_one_of_bool(int),bG456(X1,X0))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))),aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),divide_divide(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),divide_divide(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))))) = iG457(X1,X0)) & ! [X1 : int,X0 : int] : ((member(int,X1,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int))))) & member(int,X0,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int)))))) => aa(int,int,uminus_uminus(int),aa($o,int,zero_neq_one_of_bool(int),bG455(X1,X0))) = iG457(X1,X0))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG457])])).
% 8.48/2.14  tff(f44916,plain,(
% 8.48/2.14    ( ! [X0 : int,X1 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),aa($o,int,zero_neq_one_of_bool(int),bG456(X0,X1))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))),aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),divide_divide(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),divide_divide(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))))) = iG457(X0,X1) | member(int,X1,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int)))))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26183])).
% 8.48/2.14  tff(f44917,plain,(
% 8.48/2.14    ( ! [X0 : int,X1 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),aa($o,int,zero_neq_one_of_bool(int),bG456(X0,X1))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))),aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),divide_divide(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),divide_divide(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))))) = iG457(X0,X1) | member(int,X0,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int)))))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26183])).
% 8.48/2.14  tff(f61466,plain,(
% 8.48/2.14    ( ! [X3 : int] : (iG458(aa(int,int,uminus_uminus(int),one_one(int)),X3) = X3) )),
% 8.48/2.14    inference(equality_resolution,[],[f44913])).
% 8.48/2.14  tff(f44913,plain,(
% 8.48/2.14    ( ! [X2 : int,X3 : int] : (iG458(X2,X3) = X3 | aa(int,int,uminus_uminus(int),one_one(int)) != X2) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26181])).
% 8.48/2.14  tff(f26181,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),modulo_modulo(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),modulo_modulo(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))),aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),divide_divide(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),divide_divide(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))))) = iG458(X0,X1) | aa(int,int,uminus_uminus(int),one_one(int)) = X0) & ! [X2 : int,X3 : int] : (iG458(X2,X3) = X3 | aa(int,int,uminus_uminus(int),one_one(int)) != X2)),
% 8.48/2.14    inference(ennf_transformation,[],[f20529])).
% 8.48/2.14  tff(f20529,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (aa(int,int,uminus_uminus(int),one_one(int)) != X0 => aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),modulo_modulo(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),modulo_modulo(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))),aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),divide_divide(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),divide_divide(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))))) = iG458(X0,X1)) & ! [X2 : int,X3 : int] : (aa(int,int,uminus_uminus(int),one_one(int)) = X2 => iG458(X2,X3) = X3)),
% 8.48/2.14    inference(flattening,[],[f20528])).
% 8.48/2.14  tff(f20528,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (~aa(int,int,uminus_uminus(int),one_one(int)) = X0 => aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),modulo_modulo(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),modulo_modulo(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))),aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),divide_divide(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),divide_divide(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))))) = iG458(X0,X1)) & ! [X2 : int,X3 : int] : (aa(int,int,uminus_uminus(int),one_one(int)) = X2 => iG458(X2,X3) = X3)),
% 8.48/2.14    inference(rectify,[],[f14617])).
% 8.48/2.14  tff(f14617,plain,(
% 8.48/2.14    ! [X1 : int,X0 : int] : (~aa(int,int,uminus_uminus(int),one_one(int)) = X1 => aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),modulo_modulo(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),modulo_modulo(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))),aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),divide_divide(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),divide_divide(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))))) = iG458(X1,X0)) & ! [X1 : int,X0 : int] : (aa(int,int,uminus_uminus(int),one_one(int)) = X1 => iG458(X1,X0) = X0)),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG458])])).
% 8.48/2.14  tff(f44914,plain,(
% 8.48/2.14    ( ! [X0 : int,X1 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),modulo_modulo(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),modulo_modulo(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))),aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),divide_divide(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),divide_divide(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))))) = iG458(X0,X1) | aa(int,int,uminus_uminus(int),one_one(int)) = X0) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26181])).
% 8.48/2.14  tff(f61465,plain,(
% 8.48/2.14    ( ! [X3 : int] : (iG459(aa(int,int,uminus_uminus(int),one_one(int)),X3) = X3) )),
% 8.48/2.14    inference(equality_resolution,[],[f44911])).
% 8.48/2.14  tff(f44911,plain,(
% 8.48/2.14    ( ! [X2 : int,X3 : int] : (iG459(X2,X3) = X3 | aa(int,int,uminus_uminus(int),one_one(int)) != X2) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26180])).
% 8.48/2.14  tff(f26180,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (iG458(X1,X0) = iG459(X0,X1) | aa(int,int,uminus_uminus(int),one_one(int)) = X0) & ! [X2 : int,X3 : int] : (iG459(X2,X3) = X3 | aa(int,int,uminus_uminus(int),one_one(int)) != X2)),
% 8.48/2.14    inference(ennf_transformation,[],[f20527])).
% 8.48/2.14  tff(f20527,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (aa(int,int,uminus_uminus(int),one_one(int)) != X0 => iG458(X1,X0) = iG459(X0,X1)) & ! [X2 : int,X3 : int] : (aa(int,int,uminus_uminus(int),one_one(int)) = X2 => iG459(X2,X3) = X3)),
% 8.48/2.14    inference(flattening,[],[f20526])).
% 8.48/2.14  tff(f20526,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (~aa(int,int,uminus_uminus(int),one_one(int)) = X0 => iG458(X1,X0) = iG459(X0,X1)) & ! [X2 : int,X3 : int] : (aa(int,int,uminus_uminus(int),one_one(int)) = X2 => iG459(X2,X3) = X3)),
% 8.48/2.14    inference(rectify,[],[f14618])).
% 8.48/2.14  tff(f14618,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (~aa(int,int,uminus_uminus(int),one_one(int)) = X0 => iG458(X1,X0) = iG459(X0,X1)) & ! [X0 : int,X1 : int] : (aa(int,int,uminus_uminus(int),one_one(int)) = X0 => iG459(X0,X1) = X1)),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG459])])).
% 8.48/2.14  tff(f44912,plain,(
% 8.48/2.14    ( ! [X0 : int,X1 : int] : (iG458(X1,X0) = iG459(X0,X1) | aa(int,int,uminus_uminus(int),one_one(int)) = X0) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26180])).
% 8.48/2.14  tff(f61464,plain,(
% 8.48/2.14    ( ! [X2 : int] : (zero_zero(int) = iG460(X2,zero_zero(int))) )),
% 8.48/2.14    inference(equality_resolution,[],[f44908])).
% 8.48/2.14  tff(f44908,plain,(
% 8.48/2.14    ( ! [X2 : int,X3 : int] : (zero_zero(int) = iG460(X2,X3) | zero_zero(int) != X3) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26179])).
% 8.48/2.14  tff(f26179,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (iG459(X1,X0) = iG460(X0,X1) | zero_zero(int) = X0 | zero_zero(int) = X1) & ! [X2 : int,X3 : int] : (zero_zero(int) = iG460(X2,X3) | (zero_zero(int) != X2 & zero_zero(int) != X3))),
% 8.48/2.14    inference(flattening,[],[f26178])).
% 8.48/2.14  tff(f26178,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (iG459(X1,X0) = iG460(X0,X1) | (zero_zero(int) = X0 | zero_zero(int) = X1)) & ! [X2 : int,X3 : int] : (zero_zero(int) = iG460(X2,X3) | (zero_zero(int) != X2 & zero_zero(int) != X3))),
% 8.48/2.14    inference(ennf_transformation,[],[f20525])).
% 8.48/2.14  tff(f20525,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (~(zero_zero(int) = X0 | zero_zero(int) = X1) => iG459(X1,X0) = iG460(X0,X1)) & ! [X2 : int,X3 : int] : ((zero_zero(int) = X2 | zero_zero(int) = X3) => zero_zero(int) = iG460(X2,X3))),
% 8.48/2.14    inference(rectify,[],[f14619])).
% 8.48/2.14  tff(f14619,plain,(
% 8.48/2.14    ! [X1 : int,X0 : int] : (~(zero_zero(int) = X1 | zero_zero(int) = X0) => iG459(X0,X1) = iG460(X1,X0)) & ! [X1 : int,X0 : int] : ((zero_zero(int) = X1 | zero_zero(int) = X0) => zero_zero(int) = iG460(X1,X0))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG460])])).
% 8.48/2.14  tff(f61463,plain,(
% 8.48/2.14    ( ! [X3 : int] : (zero_zero(int) = iG460(zero_zero(int),X3)) )),
% 8.48/2.14    inference(equality_resolution,[],[f44909])).
% 8.48/2.14  tff(f44909,plain,(
% 8.48/2.14    ( ! [X2 : int,X3 : int] : (zero_zero(int) = iG460(X2,X3) | zero_zero(int) != X2) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26179])).
% 8.48/2.14  tff(f44910,plain,(
% 8.48/2.14    ( ! [X0 : int,X1 : int] : (iG459(X1,X0) = iG460(X0,X1) | zero_zero(int) = X0 | zero_zero(int) = X1) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26179])).
% 8.48/2.14  tff(f44905,plain,(
% 8.48/2.14    ( ! [X0 : int,X1 : int] : (($true = bG461(X0,X1)) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36354])).
% 8.48/2.14  tff(f36354,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) & ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)) | ($true != bG461(X0,X1))) & (($true = bG461(X0,X1)) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)))),
% 8.48/2.14    inference(flattening,[],[f36353])).
% 8.48/2.14  tff(f36353,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) & ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)) | ($true != bG461(X0,X1))) & (($true = bG461(X0,X1)) | (dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1))))),
% 8.48/2.14    inference(nnf_transformation,[],[f20524])).
% 8.48/2.14  tff(f20524,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : ((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) & ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)) <=> ($true = bG461(X0,X1)))),
% 8.48/2.14    inference(rectify,[],[f14622])).
% 8.48/2.14  tff(f14622,plain,(
% 8.48/2.14    ! [X1 : int,X0 : int] : ((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1) & ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0)) <=> ($true = bG461(X1,X0)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG461])])).
% 8.48/2.14  tff(f44906,plain,(
% 8.48/2.14    ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1) | ($true != bG461(X0,X1))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36354])).
% 8.48/2.14  tff(f44907,plain,(
% 8.48/2.14    ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | ($true != bG461(X0,X1))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36354])).
% 8.48/2.14  tff(f44903,plain,(
% 8.48/2.14    ( ! [X0 : nat,X1 : int] : (($true = bG462(X0,X1)) | ($true = aa(nat,$o,bit_se5641148757651400278ts_bit(int,X1),X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36352])).
% 8.48/2.14  tff(f36352,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : int] : ((($true != aa(nat,$o,bit_se5641148757651400278ts_bit(int,X1),X0)) | ($true != bG462(X0,X1))) & (($true = bG462(X0,X1)) | ($true = aa(nat,$o,bit_se5641148757651400278ts_bit(int,X1),X0))))),
% 8.48/2.14    inference(nnf_transformation,[],[f20523])).
% 8.48/2.14  tff(f20523,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : int] : (($true != aa(nat,$o,bit_se5641148757651400278ts_bit(int,X1),X0)) <=> ($true = bG462(X0,X1)))),
% 8.48/2.14    inference(flattening,[],[f14625])).
% 8.48/2.14  tff(f14625,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : int] : (~($true = aa(nat,$o,bit_se5641148757651400278ts_bit(int,X1),X0)) <=> ($true = bG462(X0,X1)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG462])])).
% 8.48/2.14  tff(f44904,plain,(
% 8.48/2.14    ( ! [X0 : nat,X1 : int] : (($true != aa(nat,$o,bit_se5641148757651400278ts_bit(int,X1),X0)) | ($true != bG462(X0,X1))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36352])).
% 8.48/2.14  tff(f44901,plain,(
% 8.48/2.14    ( ! [X2 : nat,X3 : fun(nat,real)] : (zero_zero(real) = iG463(X2,X3) | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26177])).
% 8.48/2.14  tff(f26177,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : fun(nat,real)] : (aa(nat,real,X1,divide_divide(nat,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),one_one(nat)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = iG463(X0,X1) | dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0)) & ! [X2 : nat,X3 : fun(nat,real)] : (zero_zero(real) = iG463(X2,X3) | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2))),
% 8.48/2.14    inference(ennf_transformation,[],[f20522])).
% 8.48/2.14  tff(f20522,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : fun(nat,real)] : (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) => aa(nat,real,X1,divide_divide(nat,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),one_one(nat)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = iG463(X0,X1)) & ! [X2 : nat,X3 : fun(nat,real)] : (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2) => zero_zero(real) = iG463(X2,X3))),
% 8.48/2.14    inference(flattening,[],[f20521])).
% 8.48/2.14  tff(f20521,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : fun(nat,real)] : (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) => aa(nat,real,X1,divide_divide(nat,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),one_one(nat)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = iG463(X0,X1)) & ! [X2 : nat,X3 : fun(nat,real)] : (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2) => zero_zero(real) = iG463(X2,X3))),
% 8.48/2.14    inference(rectify,[],[f14628])).
% 8.48/2.14  tff(f14628,plain,(
% 8.48/2.14    ! [X1 : nat,X0 : fun(nat,real)] : (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1) => aa(nat,real,X0,divide_divide(nat,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = iG463(X1,X0)) & ! [X1 : nat,X0 : fun(nat,real)] : (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1) => zero_zero(real) = iG463(X1,X0))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG463])])).
% 8.48/2.14  tff(f44902,plain,(
% 8.48/2.14    ( ! [X0 : nat,X1 : fun(nat,real)] : (aa(nat,real,X1,divide_divide(nat,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),one_one(nat)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = iG463(X0,X1) | dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26177])).
% 8.48/2.14  tff(f61462,plain,(
% 8.48/2.14    ( ! [X3 : nat] : (iG464(zero_zero(nat),X3) = X3) )),
% 8.48/2.14    inference(equality_resolution,[],[f44899])).
% 8.48/2.14  tff(f44899,plain,(
% 8.48/2.14    ( ! [X2 : nat,X3 : nat] : (iG464(X2,X3) = X3 | zero_zero(nat) != X2) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26176])).
% 8.48/2.14  tff(f26176,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),modulo_modulo(nat,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),modulo_modulo(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),modulo_modulo(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344971392196577ns_xor(nat),divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) = iG464(X0,X1) | zero_zero(nat) = X0) & ! [X2 : nat,X3 : nat] : (iG464(X2,X3) = X3 | zero_zero(nat) != X2)),
% 8.48/2.14    inference(ennf_transformation,[],[f20520])).
% 8.48/2.14  tff(f20520,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : (zero_zero(nat) != X0 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),modulo_modulo(nat,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),modulo_modulo(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),modulo_modulo(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344971392196577ns_xor(nat),divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) = iG464(X0,X1)) & ! [X2 : nat,X3 : nat] : (zero_zero(nat) = X2 => iG464(X2,X3) = X3)),
% 8.48/2.14    inference(flattening,[],[f20519])).
% 8.48/2.14  tff(f20519,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : (~zero_zero(nat) = X0 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),modulo_modulo(nat,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),modulo_modulo(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),modulo_modulo(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344971392196577ns_xor(nat),divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) = iG464(X0,X1)) & ! [X2 : nat,X3 : nat] : (zero_zero(nat) = X2 => iG464(X2,X3) = X3)),
% 8.48/2.14    inference(rectify,[],[f14631])).
% 8.48/2.14  tff(f14631,plain,(
% 8.48/2.14    ! [X1 : nat,X0 : nat] : (~zero_zero(nat) = X1 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),modulo_modulo(nat,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),modulo_modulo(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),modulo_modulo(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344971392196577ns_xor(nat),divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) = iG464(X1,X0)) & ! [X1 : nat,X0 : nat] : (zero_zero(nat) = X1 => iG464(X1,X0) = X0)),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG464])])).
% 8.48/2.14  tff(f44900,plain,(
% 8.48/2.14    ( ! [X0 : nat,X1 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),modulo_modulo(nat,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),modulo_modulo(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),modulo_modulo(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344971392196577ns_xor(nat),divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) = iG464(X0,X1) | zero_zero(nat) = X0) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26176])).
% 8.48/2.14  tff(f61461,plain,(
% 8.48/2.14    ( ! [X3 : nat] : (iG465(zero_zero(nat),X3) = X3) )),
% 8.48/2.14    inference(equality_resolution,[],[f44897])).
% 8.48/2.14  tff(f44897,plain,(
% 8.48/2.14    ( ! [X2 : nat,X3 : nat] : (iG465(X2,X3) = X3 | zero_zero(nat) != X2) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26175])).
% 8.48/2.14  tff(f26175,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : (iG464(X1,X0) = iG465(X0,X1) | zero_zero(nat) = X0) & ! [X2 : nat,X3 : nat] : (iG465(X2,X3) = X3 | zero_zero(nat) != X2)),
% 8.48/2.14    inference(ennf_transformation,[],[f20518])).
% 8.48/2.14  tff(f20518,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : (zero_zero(nat) != X0 => iG464(X1,X0) = iG465(X0,X1)) & ! [X2 : nat,X3 : nat] : (zero_zero(nat) = X2 => iG465(X2,X3) = X3)),
% 8.48/2.14    inference(flattening,[],[f20517])).
% 8.48/2.14  tff(f20517,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : (~zero_zero(nat) = X0 => iG464(X1,X0) = iG465(X0,X1)) & ! [X2 : nat,X3 : nat] : (zero_zero(nat) = X2 => iG465(X2,X3) = X3)),
% 8.48/2.14    inference(rectify,[],[f14632])).
% 8.48/2.14  tff(f14632,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : (~zero_zero(nat) = X0 => iG464(X1,X0) = iG465(X0,X1)) & ! [X0 : nat,X1 : nat] : (zero_zero(nat) = X0 => iG465(X0,X1) = X1)),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG465])])).
% 8.48/2.14  tff(f44898,plain,(
% 8.48/2.14    ( ! [X0 : nat,X1 : nat] : (iG464(X1,X0) = iG465(X0,X1) | zero_zero(nat) = X0) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26175])).
% 8.48/2.14  tff(f44893,plain,(
% 8.48/2.14    ( ! [X0 : nat,X1 : nat] : (($true = bG466(X0,X1)) | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) | dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36351])).
% 8.48/2.14  tff(f36351,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : ((((dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1) | dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0)) & (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1))) | ($true != bG466(X0,X1))) & (($true = bG466(X0,X1)) | ((dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1)) & (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) | dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1)))))),
% 8.48/2.14    inference(nnf_transformation,[],[f20516])).
% 8.48/2.14  tff(f20516,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : ((dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1) <=> ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0)) <=> ($true = bG466(X0,X1)))),
% 8.48/2.14    inference(rectify,[],[f14635])).
% 8.48/2.14  tff(f14635,plain,(
% 8.48/2.14    ! [X1 : nat,X0 : nat] : ((dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) <=> ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1)) <=> ($true = bG466(X1,X0)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG466])])).
% 8.48/2.14  tff(f44894,plain,(
% 8.48/2.14    ( ! [X0 : nat,X1 : nat] : (($true = bG466(X0,X1)) | dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36351])).
% 8.48/2.14  tff(f44895,plain,(
% 8.48/2.14    ( ! [X0 : nat,X1 : nat] : (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1) | ($true != bG466(X0,X1))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36351])).
% 8.48/2.14  tff(f44896,plain,(
% 8.48/2.14    ( ! [X0 : nat,X1 : nat] : (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1) | dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) | ($true != bG466(X0,X1))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36351])).
% 8.48/2.14  tff(f61460,plain,(
% 8.48/2.14    ( ! [X3 : nat] : (iG467(zero_zero(nat),X3) = X3) )),
% 8.48/2.14    inference(equality_resolution,[],[f44891])).
% 8.48/2.14  tff(f44891,plain,(
% 8.48/2.14    ( ! [X2 : nat,X3 : nat] : (iG467(X2,X3) = X3 | zero_zero(nat) != X2) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26174])).
% 8.48/2.14  tff(f26174,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),ord_max(nat),modulo_modulo(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),modulo_modulo(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),bit_se1065995026697491101ons_or(nat),divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) = iG467(X0,X1) | zero_zero(nat) = X0) & ! [X2 : nat,X3 : nat] : (iG467(X2,X3) = X3 | zero_zero(nat) != X2)),
% 8.48/2.14    inference(ennf_transformation,[],[f20515])).
% 8.48/2.14  tff(f20515,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : (zero_zero(nat) != X0 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),ord_max(nat),modulo_modulo(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),modulo_modulo(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),bit_se1065995026697491101ons_or(nat),divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) = iG467(X0,X1)) & ! [X2 : nat,X3 : nat] : (zero_zero(nat) = X2 => iG467(X2,X3) = X3)),
% 8.48/2.14    inference(flattening,[],[f20514])).
% 8.48/2.14  tff(f20514,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : (~zero_zero(nat) = X0 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),ord_max(nat),modulo_modulo(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),modulo_modulo(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),bit_se1065995026697491101ons_or(nat),divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) = iG467(X0,X1)) & ! [X2 : nat,X3 : nat] : (zero_zero(nat) = X2 => iG467(X2,X3) = X3)),
% 8.48/2.14    inference(rectify,[],[f14638])).
% 8.48/2.14  tff(f14638,plain,(
% 8.48/2.14    ! [X1 : nat,X0 : nat] : (~zero_zero(nat) = X1 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),ord_max(nat),modulo_modulo(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),modulo_modulo(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),bit_se1065995026697491101ons_or(nat),divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) = iG467(X1,X0)) & ! [X1 : nat,X0 : nat] : (zero_zero(nat) = X1 => iG467(X1,X0) = X0)),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG467])])).
% 8.48/2.14  tff(f44892,plain,(
% 8.48/2.14    ( ! [X0 : nat,X1 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),ord_max(nat),modulo_modulo(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),modulo_modulo(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),bit_se1065995026697491101ons_or(nat),divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) = iG467(X0,X1) | zero_zero(nat) = X0) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26174])).
% 8.48/2.14  tff(f61459,plain,(
% 8.48/2.14    ( ! [X3 : nat] : (iG468(zero_zero(nat),X3) = X3) )),
% 8.48/2.14    inference(equality_resolution,[],[f44889])).
% 8.48/2.14  tff(f44889,plain,(
% 8.48/2.14    ( ! [X2 : nat,X3 : nat] : (iG468(X2,X3) = X3 | zero_zero(nat) != X2) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26173])).
% 8.48/2.14  tff(f26173,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : (iG467(X1,X0) = iG468(X0,X1) | zero_zero(nat) = X0) & ! [X2 : nat,X3 : nat] : (iG468(X2,X3) = X3 | zero_zero(nat) != X2)),
% 8.48/2.14    inference(ennf_transformation,[],[f20513])).
% 8.48/2.14  tff(f20513,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : (zero_zero(nat) != X0 => iG467(X1,X0) = iG468(X0,X1)) & ! [X2 : nat,X3 : nat] : (zero_zero(nat) = X2 => iG468(X2,X3) = X3)),
% 8.48/2.14    inference(flattening,[],[f20512])).
% 8.48/2.14  tff(f20512,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : (~zero_zero(nat) = X0 => iG467(X1,X0) = iG468(X0,X1)) & ! [X2 : nat,X3 : nat] : (zero_zero(nat) = X2 => iG468(X2,X3) = X3)),
% 8.48/2.14    inference(rectify,[],[f14639])).
% 8.48/2.14  tff(f14639,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : (~zero_zero(nat) = X0 => iG467(X1,X0) = iG468(X0,X1)) & ! [X0 : nat,X1 : nat] : (zero_zero(nat) = X0 => iG468(X0,X1) = X1)),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG468])])).
% 8.48/2.14  tff(f44890,plain,(
% 8.48/2.14    ( ! [X0 : nat,X1 : nat] : (iG467(X1,X0) = iG468(X0,X1) | zero_zero(nat) = X0) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26173])).
% 8.48/2.14  tff(f44886,plain,(
% 8.48/2.14    ( ! [X0 : nat,X1 : nat] : (($true = bG469(X0,X1)) | dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36350])).
% 8.48/2.14  tff(f36350,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : ((~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1) | ($true != bG469(X0,X1))) & (($true = bG469(X0,X1)) | (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) & dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1))))),
% 8.48/2.14    inference(flattening,[],[f36349])).
% 8.48/2.14  tff(f36349,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : (((~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1)) | ($true != bG469(X0,X1))) & (($true = bG469(X0,X1)) | (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) & dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1))))),
% 8.48/2.14    inference(nnf_transformation,[],[f20511])).
% 8.48/2.14  tff(f20511,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : ((~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1)) <=> ($true = bG469(X0,X1)))),
% 8.48/2.14    inference(rectify,[],[f14642])).
% 8.48/2.14  tff(f14642,plain,(
% 8.48/2.14    ! [X1 : nat,X0 : nat] : ((~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1) | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0)) <=> ($true = bG469(X1,X0)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG469])])).
% 8.48/2.14  tff(f44887,plain,(
% 8.48/2.14    ( ! [X0 : nat,X1 : nat] : (($true = bG469(X0,X1)) | dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36350])).
% 8.48/2.14  tff(f44888,plain,(
% 8.48/2.14    ( ! [X0 : nat,X1 : nat] : (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1) | ($true != bG469(X0,X1))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36350])).
% 8.48/2.14  tff(f61458,plain,(
% 8.48/2.14    ( ! [X2 : nat] : (zero_zero(nat) = iG470(X2,zero_zero(nat))) )),
% 8.48/2.14    inference(equality_resolution,[],[f44883])).
% 8.48/2.14  tff(f44883,plain,(
% 8.48/2.14    ( ! [X2 : nat,X3 : nat] : (zero_zero(nat) = iG470(X2,X3) | zero_zero(nat) != X3) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26172])).
% 8.48/2.14  tff(f26172,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),modulo_modulo(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),modulo_modulo(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344872417868541ns_and(nat),divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) = iG470(X0,X1) | zero_zero(nat) = X0 | zero_zero(nat) = X1) & ! [X2 : nat,X3 : nat] : (zero_zero(nat) = iG470(X2,X3) | (zero_zero(nat) != X2 & zero_zero(nat) != X3))),
% 8.48/2.14    inference(flattening,[],[f26171])).
% 8.48/2.14  tff(f26171,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),modulo_modulo(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),modulo_modulo(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344872417868541ns_and(nat),divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) = iG470(X0,X1) | (zero_zero(nat) = X0 | zero_zero(nat) = X1)) & ! [X2 : nat,X3 : nat] : (zero_zero(nat) = iG470(X2,X3) | (zero_zero(nat) != X2 & zero_zero(nat) != X3))),
% 8.48/2.14    inference(ennf_transformation,[],[f20510])).
% 8.48/2.14  tff(f20510,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : (~(zero_zero(nat) = X0 | zero_zero(nat) = X1) => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),modulo_modulo(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),modulo_modulo(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344872417868541ns_and(nat),divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) = iG470(X0,X1)) & ! [X2 : nat,X3 : nat] : ((zero_zero(nat) = X2 | zero_zero(nat) = X3) => zero_zero(nat) = iG470(X2,X3))),
% 8.48/2.14    inference(rectify,[],[f14645])).
% 8.48/2.14  tff(f14645,plain,(
% 8.48/2.14    ! [X1 : nat,X0 : nat] : (~(zero_zero(nat) = X1 | zero_zero(nat) = X0) => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),modulo_modulo(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),modulo_modulo(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344872417868541ns_and(nat),divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) = iG470(X1,X0)) & ! [X1 : nat,X0 : nat] : ((zero_zero(nat) = X1 | zero_zero(nat) = X0) => zero_zero(nat) = iG470(X1,X0))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG470])])).
% 8.48/2.14  tff(f61457,plain,(
% 8.48/2.14    ( ! [X3 : nat] : (zero_zero(nat) = iG470(zero_zero(nat),X3)) )),
% 8.48/2.14    inference(equality_resolution,[],[f44884])).
% 8.48/2.14  tff(f44884,plain,(
% 8.48/2.14    ( ! [X2 : nat,X3 : nat] : (zero_zero(nat) = iG470(X2,X3) | zero_zero(nat) != X2) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26172])).
% 8.48/2.14  tff(f44885,plain,(
% 8.48/2.14    ( ! [X0 : nat,X1 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),modulo_modulo(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),modulo_modulo(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344872417868541ns_and(nat),divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) = iG470(X0,X1) | zero_zero(nat) = X0 | zero_zero(nat) = X1) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26172])).
% 8.48/2.14  tff(f44880,plain,(
% 8.48/2.14    ( ! [X0 : nat,X1 : nat] : (($true = bG471(X0,X1)) | dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) | dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36348])).
% 8.48/2.14  tff(f36348,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : (((~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) & ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1)) | ($true != bG471(X0,X1))) & (($true = bG471(X0,X1)) | dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) | dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1)))),
% 8.48/2.14    inference(flattening,[],[f36347])).
% 8.48/2.14  tff(f36347,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : (((~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) & ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1)) | ($true != bG471(X0,X1))) & (($true = bG471(X0,X1)) | (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) | dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1))))),
% 8.48/2.14    inference(nnf_transformation,[],[f20509])).
% 8.48/2.14  tff(f20509,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : ((~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) & ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1)) <=> ($true = bG471(X0,X1)))),
% 8.48/2.14    inference(rectify,[],[f14648])).
% 8.48/2.14  tff(f14648,plain,(
% 8.48/2.14    ! [X1 : nat,X0 : nat] : ((~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1) & ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0)) <=> ($true = bG471(X1,X0)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG471])])).
% 8.48/2.14  tff(f44881,plain,(
% 8.48/2.14    ( ! [X0 : nat,X1 : nat] : (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X1) | ($true != bG471(X0,X1))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36348])).
% 8.48/2.14  tff(f44882,plain,(
% 8.48/2.14    ( ! [X0 : nat,X1 : nat] : (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) | ($true != bG471(X0,X1))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36348])).
% 8.48/2.14  tff(f61456,plain,(
% 8.48/2.14    ( ! [X3 : nat] : (iG472(zero_zero(nat),X3) = X3) )),
% 8.48/2.14    inference(equality_resolution,[],[f44878])).
% 8.48/2.14  tff(f44878,plain,(
% 8.48/2.14    ( ! [X2 : nat,X3 : nat] : (iG472(X2,X3) = X3 | zero_zero(nat) != X2) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26170])).
% 8.48/2.14  tff(f26170,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : (aa(nat,nat,suc,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),one_one(nat))),X1)) = iG472(X0,X1) | zero_zero(nat) = X0) & ! [X2 : nat,X3 : nat] : (iG472(X2,X3) = X3 | zero_zero(nat) != X2)),
% 8.48/2.14    inference(ennf_transformation,[],[f20508])).
% 8.48/2.14  tff(f20508,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : (zero_zero(nat) != X0 => aa(nat,nat,suc,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),one_one(nat))),X1)) = iG472(X0,X1)) & ! [X2 : nat,X3 : nat] : (zero_zero(nat) = X2 => iG472(X2,X3) = X3)),
% 8.48/2.14    inference(flattening,[],[f20507])).
% 8.48/2.14  tff(f20507,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : (~zero_zero(nat) = X0 => aa(nat,nat,suc,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),one_one(nat))),X1)) = iG472(X0,X1)) & ! [X2 : nat,X3 : nat] : (zero_zero(nat) = X2 => iG472(X2,X3) = X3)),
% 8.48/2.14    inference(rectify,[],[f14651])).
% 8.48/2.14  tff(f14651,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : (~zero_zero(nat) = X0 => aa(nat,nat,suc,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),one_one(nat))),X1)) = iG472(X0,X1)) & ! [X0 : nat,X1 : nat] : (zero_zero(nat) = X0 => iG472(X0,X1) = X1)),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG472])])).
% 8.48/2.14  tff(f44879,plain,(
% 8.48/2.14    ( ! [X0 : nat,X1 : nat] : (aa(nat,nat,suc,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),one_one(nat))),X1)) = iG472(X0,X1) | zero_zero(nat) = X0) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26170])).
% 8.48/2.14  tff(f61455,plain,(
% 8.48/2.14    ( ! [X3 : nat] : (zero_zero(nat) = iG473(zero_zero(nat),X3)) )),
% 8.48/2.14    inference(equality_resolution,[],[f44876])).
% 8.48/2.14  tff(f44876,plain,(
% 8.48/2.14    ( ! [X2 : nat,X3 : nat] : (zero_zero(nat) = iG473(X2,X3) | zero_zero(nat) != X2) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26169])).
% 8.48/2.14  tff(f26169,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X1),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),one_one(nat))),X1)) = iG473(X0,X1) | zero_zero(nat) = X0) & ! [X2 : nat,X3 : nat] : (zero_zero(nat) = iG473(X2,X3) | zero_zero(nat) != X2)),
% 8.48/2.14    inference(ennf_transformation,[],[f20506])).
% 8.48/2.14  tff(f20506,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : (zero_zero(nat) != X0 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X1),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),one_one(nat))),X1)) = iG473(X0,X1)) & ! [X2 : nat,X3 : nat] : (zero_zero(nat) = X2 => zero_zero(nat) = iG473(X2,X3))),
% 8.48/2.14    inference(flattening,[],[f20505])).
% 8.48/2.14  tff(f20505,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : (~zero_zero(nat) = X0 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X1),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),one_one(nat))),X1)) = iG473(X0,X1)) & ! [X2 : nat,X3 : nat] : (zero_zero(nat) = X2 => zero_zero(nat) = iG473(X2,X3))),
% 8.48/2.14    inference(rectify,[],[f14654])).
% 8.48/2.14  tff(f14654,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : (~zero_zero(nat) = X0 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X1),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),one_one(nat))),X1)) = iG473(X0,X1)) & ! [X0 : nat,X1 : nat] : (zero_zero(nat) = X0 => zero_zero(nat) = iG473(X0,X1))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG473])])).
% 8.48/2.14  tff(f44877,plain,(
% 8.48/2.14    ( ! [X0 : nat,X1 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X1),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),one_one(nat))),X1)) = iG473(X0,X1) | zero_zero(nat) = X0) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26169])).
% 8.48/2.14  tff(f44874,plain,(
% 8.48/2.14    ( ! [X2 : num,X3 : num] : (aa(list(int),list(int),cons(int,aa(num,int,numeral_numeral(int),X3)),upto(aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(num,int,numeral_numeral(int),X3)),one_one(int)),aa(num,int,numeral_numeral(int),X2))) = iG474(X2,X3) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),aa(num,int,numeral_numeral(int),X3)),aa(num,int,numeral_numeral(int),X2)))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26168])).
% 8.48/2.14  tff(f26168,plain,(
% 8.48/2.14    ! [X0 : num,X1 : num] : (nil(int) = iG474(X0,X1) | ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),aa(num,int,numeral_numeral(int),X1)),aa(num,int,numeral_numeral(int),X0)))) & ! [X2 : num,X3 : num] : (aa(list(int),list(int),cons(int,aa(num,int,numeral_numeral(int),X3)),upto(aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(num,int,numeral_numeral(int),X3)),one_one(int)),aa(num,int,numeral_numeral(int),X2))) = iG474(X2,X3) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),aa(num,int,numeral_numeral(int),X3)),aa(num,int,numeral_numeral(int),X2))))),
% 8.48/2.14    inference(ennf_transformation,[],[f20504])).
% 8.48/2.14  tff(f20504,plain,(
% 8.48/2.14    ! [X0 : num,X1 : num] : (($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),aa(num,int,numeral_numeral(int),X1)),aa(num,int,numeral_numeral(int),X0))) => nil(int) = iG474(X0,X1)) & ! [X2 : num,X3 : num] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),aa(num,int,numeral_numeral(int),X3)),aa(num,int,numeral_numeral(int),X2))) => aa(list(int),list(int),cons(int,aa(num,int,numeral_numeral(int),X3)),upto(aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(num,int,numeral_numeral(int),X3)),one_one(int)),aa(num,int,numeral_numeral(int),X2))) = iG474(X2,X3))),
% 8.48/2.14    inference(flattening,[],[f20503])).
% 8.48/2.14  tff(f20503,plain,(
% 8.48/2.14    ! [X0 : num,X1 : num] : (~($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),aa(num,int,numeral_numeral(int),X1)),aa(num,int,numeral_numeral(int),X0))) => nil(int) = iG474(X0,X1)) & ! [X2 : num,X3 : num] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),aa(num,int,numeral_numeral(int),X3)),aa(num,int,numeral_numeral(int),X2))) => aa(list(int),list(int),cons(int,aa(num,int,numeral_numeral(int),X3)),upto(aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(num,int,numeral_numeral(int),X3)),one_one(int)),aa(num,int,numeral_numeral(int),X2))) = iG474(X2,X3))),
% 8.48/2.14    inference(rectify,[],[f14657])).
% 8.48/2.14  tff(f14657,plain,(
% 8.48/2.14    ! [X1 : num,X0 : num] : (~($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),aa(num,int,numeral_numeral(int),X0)),aa(num,int,numeral_numeral(int),X1))) => nil(int) = iG474(X1,X0)) & ! [X1 : num,X0 : num] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),aa(num,int,numeral_numeral(int),X0)),aa(num,int,numeral_numeral(int),X1))) => aa(list(int),list(int),cons(int,aa(num,int,numeral_numeral(int),X0)),upto(aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(num,int,numeral_numeral(int),X0)),one_one(int)),aa(num,int,numeral_numeral(int),X1))) = iG474(X1,X0))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG474])])).
% 8.48/2.14  tff(f44875,plain,(
% 8.48/2.14    ( ! [X0 : num,X1 : num] : (nil(int) = iG474(X0,X1) | ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),aa(num,int,numeral_numeral(int),X1)),aa(num,int,numeral_numeral(int),X0)))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26168])).
% 8.48/2.14  tff(f44872,plain,(
% 8.48/2.14    ( ! [X2 : num,X3 : num] : (aa(list(nat),list(nat),cons(nat,aa(num,nat,numeral_numeral(nat),X3)),upt(aa(nat,nat,suc,aa(num,nat,numeral_numeral(nat),X3)),aa(num,nat,numeral_numeral(nat),X2))) = iG475(X2,X3) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),aa(num,nat,numeral_numeral(nat),X3)),aa(num,nat,numeral_numeral(nat),X2)))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26167])).
% 8.48/2.14  tff(f26167,plain,(
% 8.48/2.14    ! [X0 : num,X1 : num] : (nil(nat) = iG475(X0,X1) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),aa(num,nat,numeral_numeral(nat),X1)),aa(num,nat,numeral_numeral(nat),X0)))) & ! [X2 : num,X3 : num] : (aa(list(nat),list(nat),cons(nat,aa(num,nat,numeral_numeral(nat),X3)),upt(aa(nat,nat,suc,aa(num,nat,numeral_numeral(nat),X3)),aa(num,nat,numeral_numeral(nat),X2))) = iG475(X2,X3) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),aa(num,nat,numeral_numeral(nat),X3)),aa(num,nat,numeral_numeral(nat),X2))))),
% 8.48/2.14    inference(ennf_transformation,[],[f20502])).
% 8.48/2.14  tff(f20502,plain,(
% 8.48/2.14    ! [X0 : num,X1 : num] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),aa(num,nat,numeral_numeral(nat),X1)),aa(num,nat,numeral_numeral(nat),X0))) => nil(nat) = iG475(X0,X1)) & ! [X2 : num,X3 : num] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),aa(num,nat,numeral_numeral(nat),X3)),aa(num,nat,numeral_numeral(nat),X2))) => aa(list(nat),list(nat),cons(nat,aa(num,nat,numeral_numeral(nat),X3)),upt(aa(nat,nat,suc,aa(num,nat,numeral_numeral(nat),X3)),aa(num,nat,numeral_numeral(nat),X2))) = iG475(X2,X3))),
% 8.48/2.14    inference(flattening,[],[f20501])).
% 8.48/2.14  tff(f20501,plain,(
% 8.48/2.14    ! [X0 : num,X1 : num] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),aa(num,nat,numeral_numeral(nat),X1)),aa(num,nat,numeral_numeral(nat),X0))) => nil(nat) = iG475(X0,X1)) & ! [X2 : num,X3 : num] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),aa(num,nat,numeral_numeral(nat),X3)),aa(num,nat,numeral_numeral(nat),X2))) => aa(list(nat),list(nat),cons(nat,aa(num,nat,numeral_numeral(nat),X3)),upt(aa(nat,nat,suc,aa(num,nat,numeral_numeral(nat),X3)),aa(num,nat,numeral_numeral(nat),X2))) = iG475(X2,X3))),
% 8.48/2.14    inference(rectify,[],[f14660])).
% 8.48/2.14  tff(f14660,plain,(
% 8.48/2.14    ! [X1 : num,X0 : num] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),aa(num,nat,numeral_numeral(nat),X0)),aa(num,nat,numeral_numeral(nat),X1))) => nil(nat) = iG475(X1,X0)) & ! [X1 : num,X0 : num] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),aa(num,nat,numeral_numeral(nat),X0)),aa(num,nat,numeral_numeral(nat),X1))) => aa(list(nat),list(nat),cons(nat,aa(num,nat,numeral_numeral(nat),X0)),upt(aa(nat,nat,suc,aa(num,nat,numeral_numeral(nat),X0)),aa(num,nat,numeral_numeral(nat),X1))) = iG475(X1,X0))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG475])])).
% 8.48/2.14  tff(f44873,plain,(
% 8.48/2.14    ( ! [X0 : num,X1 : num] : (nil(nat) = iG475(X0,X1) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),aa(num,nat,numeral_numeral(nat),X1)),aa(num,nat,numeral_numeral(nat),X0)))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26167])).
% 8.48/2.14  tff(f44871,plain,(
% 8.48/2.14    ( ! [X0 : int,X1 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X0),X1) = lG476(X0,X1)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f14663])).
% 8.48/2.14  tff(f14663,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : aa(int,int,aa(int,fun(int,int),minus_minus(int),X0),X1) = lG476(X0,X1)),
% 8.48/2.14    introduced(fool_let_definition,[new_symbols(definition,[lG476])])).
% 8.48/2.14  tff(f44869,plain,(
% 8.48/2.14    ( ! [X2 : int,X3 : int] : (zero_zero(nat) = iG477(X2,X3) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),lG476(X3,X2)),zero_zero(int)))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26166])).
% 8.48/2.14  tff(f26166,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (iG477(X0,X1) = nat2(lG476(X1,X0)) | ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),lG476(X1,X0)),zero_zero(int)))) & ! [X2 : int,X3 : int] : (zero_zero(nat) = iG477(X2,X3) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),lG476(X3,X2)),zero_zero(int))))),
% 8.48/2.14    inference(ennf_transformation,[],[f20500])).
% 8.48/2.14  tff(f20500,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),lG476(X1,X0)),zero_zero(int))) => iG477(X0,X1) = nat2(lG476(X1,X0))) & ! [X2 : int,X3 : int] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),lG476(X3,X2)),zero_zero(int))) => zero_zero(nat) = iG477(X2,X3))),
% 8.48/2.14    inference(flattening,[],[f20499])).
% 8.48/2.14  tff(f20499,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (~($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),lG476(X1,X0)),zero_zero(int))) => iG477(X0,X1) = nat2(lG476(X1,X0))) & ! [X2 : int,X3 : int] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),lG476(X3,X2)),zero_zero(int))) => zero_zero(nat) = iG477(X2,X3))),
% 8.48/2.14    inference(rectify,[],[f14664])).
% 8.48/2.14  tff(f14664,plain,(
% 8.48/2.14    ! [X1 : int,X0 : int] : (~($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),lG476(X0,X1)),zero_zero(int))) => nat2(lG476(X0,X1)) = iG477(X1,X0)) & ! [X1 : int,X0 : int] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),lG476(X0,X1)),zero_zero(int))) => zero_zero(nat) = iG477(X1,X0))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG477])])).
% 8.48/2.14  tff(f44870,plain,(
% 8.48/2.14    ( ! [X0 : int,X1 : int] : (iG477(X0,X1) = nat2(lG476(X1,X0)) | ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),lG476(X1,X0)),zero_zero(int)))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26166])).
% 8.48/2.14  tff(f44867,plain,(
% 8.48/2.14    ( ! [X2 : int,X3 : int] : (nat2(X3) = iG478(X2,X3) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X2),zero_zero(int)))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26165])).
% 8.48/2.14  tff(f26165,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (iG477(X0,X1) = iG478(X0,X1) | ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X0),zero_zero(int)))) & ! [X2 : int,X3 : int] : (nat2(X3) = iG478(X2,X3) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X2),zero_zero(int))))),
% 8.48/2.14    inference(ennf_transformation,[],[f20498])).
% 8.48/2.14  tff(f20498,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X0),zero_zero(int))) => iG477(X0,X1) = iG478(X0,X1)) & ! [X2 : int,X3 : int] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X2),zero_zero(int))) => nat2(X3) = iG478(X2,X3))),
% 8.48/2.14    inference(flattening,[],[f20497])).
% 8.48/2.14  tff(f20497,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (~($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X0),zero_zero(int))) => iG477(X0,X1) = iG478(X0,X1)) & ! [X2 : int,X3 : int] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X2),zero_zero(int))) => nat2(X3) = iG478(X2,X3))),
% 8.48/2.14    inference(rectify,[],[f14665])).
% 8.48/2.14  tff(f14665,plain,(
% 8.48/2.14    ! [X1 : int,X0 : int] : (~($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X1),zero_zero(int))) => iG477(X1,X0) = iG478(X1,X0)) & ! [X1 : int,X0 : int] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X1),zero_zero(int))) => nat2(X0) = iG478(X1,X0))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG478])])).
% 8.48/2.14  tff(f44868,plain,(
% 8.48/2.14    ( ! [X0 : int,X1 : int] : (iG477(X0,X1) = iG478(X0,X1) | ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X0),zero_zero(int)))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26165])).
% 8.48/2.14  tff(f44866,plain,(
% 8.48/2.14    ( ! [X0 : code_integer] : (code_num_of_integer(X0) = lG479(X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f14668])).
% 8.48/2.14  tff(f14668,plain,(
% 8.48/2.14    ! [X0 : code_integer] : code_num_of_integer(X0) = lG479(X0)),
% 8.48/2.14    introduced(fool_let_definition,[new_symbols(definition,[lG479])])).
% 8.48/2.14  tff(f44865,plain,(
% 8.48/2.14    ( ! [X0 : code_integer] : (aa(num,num,aa(num,fun(num,num),plus_plus(num),lG479(X0)),lG479(X0)) = lG480(X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f14669])).
% 8.48/2.14  tff(f14669,plain,(
% 8.48/2.14    ! [X0 : code_integer] : aa(num,num,aa(num,fun(num,num),plus_plus(num),lG479(X0)),lG479(X0)) = lG480(X0)),
% 8.48/2.14    introduced(fool_let_definition,[new_symbols(definition,[lG480])])).
% 8.48/2.14  tff(f61454,plain,(
% 8.48/2.14    ( ! [X3 : code_integer] : (lG480(X3) = iG481(zero_zero(code_integer),X3)) )),
% 8.48/2.14    inference(equality_resolution,[],[f44863])).
% 8.48/2.14  tff(f44863,plain,(
% 8.48/2.14    ( ! [X2 : code_integer,X3 : code_integer] : (lG480(X3) = iG481(X2,X3) | zero_zero(code_integer) != X2) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26164])).
% 8.48/2.14  tff(f26164,plain,(
% 8.48/2.14    ! [X0 : code_integer,X1 : code_integer] : (aa(num,num,aa(num,fun(num,num),plus_plus(num),lG480(X1)),one2) = iG481(X0,X1) | zero_zero(code_integer) = X0) & ! [X2 : code_integer,X3 : code_integer] : (lG480(X3) = iG481(X2,X3) | zero_zero(code_integer) != X2)),
% 8.48/2.14    inference(ennf_transformation,[],[f20496])).
% 8.48/2.14  tff(f20496,plain,(
% 8.48/2.14    ! [X0 : code_integer,X1 : code_integer] : (zero_zero(code_integer) != X0 => aa(num,num,aa(num,fun(num,num),plus_plus(num),lG480(X1)),one2) = iG481(X0,X1)) & ! [X2 : code_integer,X3 : code_integer] : (zero_zero(code_integer) = X2 => lG480(X3) = iG481(X2,X3))),
% 8.48/2.14    inference(flattening,[],[f20495])).
% 8.48/2.14  tff(f20495,plain,(
% 8.48/2.14    ! [X0 : code_integer,X1 : code_integer] : (~zero_zero(code_integer) = X0 => aa(num,num,aa(num,fun(num,num),plus_plus(num),lG480(X1)),one2) = iG481(X0,X1)) & ! [X2 : code_integer,X3 : code_integer] : (zero_zero(code_integer) = X2 => lG480(X3) = iG481(X2,X3))),
% 8.48/2.14    inference(rectify,[],[f14670])).
% 8.48/2.14  tff(f14670,plain,(
% 8.48/2.14    ! [X1 : code_integer,X0 : code_integer] : (~zero_zero(code_integer) = X1 => aa(num,num,aa(num,fun(num,num),plus_plus(num),lG480(X0)),one2) = iG481(X1,X0)) & ! [X1 : code_integer,X0 : code_integer] : (zero_zero(code_integer) = X1 => lG480(X0) = iG481(X1,X0))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG481])])).
% 8.48/2.14  tff(f44864,plain,(
% 8.48/2.14    ( ! [X0 : code_integer,X1 : code_integer] : (aa(num,num,aa(num,fun(num,num),plus_plus(num),lG480(X1)),one2) = iG481(X0,X1) | zero_zero(code_integer) = X0) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26164])).
% 8.48/2.14  tff(f44862,plain,(
% 8.48/2.14    ( ! [X0 : code_integer] : (aa(int,int,aa(int,fun(int,int),times_times(int),aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))),code_int_of_integer(X0)) = lG482(X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f14673])).
% 8.48/2.14  tff(f14673,plain,(
% 8.48/2.14    ! [X0 : code_integer] : aa(int,int,aa(int,fun(int,int),times_times(int),aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))),code_int_of_integer(X0)) = lG482(X0)),
% 8.48/2.14    introduced(fool_let_definition,[new_symbols(definition,[lG482])])).
% 8.48/2.14  tff(f61453,plain,(
% 8.48/2.14    ( ! [X3 : code_integer] : (lG482(X3) = iG483(zero_zero(code_integer),X3)) )),
% 8.48/2.14    inference(equality_resolution,[],[f44860])).
% 8.48/2.14  tff(f44860,plain,(
% 8.48/2.14    ( ! [X2 : code_integer,X3 : code_integer] : (lG482(X3) = iG483(X2,X3) | zero_zero(code_integer) != X2) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26163])).
% 8.48/2.14  tff(f26163,plain,(
% 8.48/2.14    ! [X0 : code_integer,X1 : code_integer] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),lG482(X1)),one_one(int)) = iG483(X0,X1) | zero_zero(code_integer) = X0) & ! [X2 : code_integer,X3 : code_integer] : (lG482(X3) = iG483(X2,X3) | zero_zero(code_integer) != X2)),
% 8.48/2.14    inference(ennf_transformation,[],[f20494])).
% 8.48/2.14  tff(f20494,plain,(
% 8.48/2.14    ! [X0 : code_integer,X1 : code_integer] : (zero_zero(code_integer) != X0 => aa(int,int,aa(int,fun(int,int),plus_plus(int),lG482(X1)),one_one(int)) = iG483(X0,X1)) & ! [X2 : code_integer,X3 : code_integer] : (zero_zero(code_integer) = X2 => lG482(X3) = iG483(X2,X3))),
% 8.48/2.14    inference(flattening,[],[f20493])).
% 8.48/2.14  tff(f20493,plain,(
% 8.48/2.14    ! [X0 : code_integer,X1 : code_integer] : (~zero_zero(code_integer) = X0 => aa(int,int,aa(int,fun(int,int),plus_plus(int),lG482(X1)),one_one(int)) = iG483(X0,X1)) & ! [X2 : code_integer,X3 : code_integer] : (zero_zero(code_integer) = X2 => lG482(X3) = iG483(X2,X3))),
% 8.48/2.14    inference(rectify,[],[f14674])).
% 8.48/2.14  tff(f14674,plain,(
% 8.48/2.14    ! [X1 : code_integer,X0 : code_integer] : (~zero_zero(code_integer) = X1 => aa(int,int,aa(int,fun(int,int),plus_plus(int),lG482(X0)),one_one(int)) = iG483(X1,X0)) & ! [X1 : code_integer,X0 : code_integer] : (zero_zero(code_integer) = X1 => lG482(X0) = iG483(X1,X0))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG483])])).
% 8.48/2.14  tff(f44861,plain,(
% 8.48/2.14    ( ! [X0 : code_integer,X1 : code_integer] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),lG482(X1)),one_one(int)) = iG483(X0,X1) | zero_zero(code_integer) = X0) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26163])).
% 8.48/2.14  tff(f44859,plain,(
% 8.48/2.14    ( ! [X0 : code_integer] : (code_nat_of_integer(X0) = lG484(X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f14677])).
% 8.48/2.14  tff(f14677,plain,(
% 8.48/2.14    ! [X0 : code_integer] : code_nat_of_integer(X0) = lG484(X0)),
% 8.48/2.14    introduced(fool_let_definition,[new_symbols(definition,[lG484])])).
% 8.48/2.14  tff(f44858,plain,(
% 8.48/2.14    ( ! [X0 : code_integer] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),lG484(X0)),lG484(X0)) = lG485(X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f14678])).
% 8.48/2.14  tff(f14678,plain,(
% 8.48/2.14    ! [X0 : code_integer] : aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),lG484(X0)),lG484(X0)) = lG485(X0)),
% 8.48/2.14    introduced(fool_let_definition,[new_symbols(definition,[lG485])])).
% 8.48/2.14  tff(f61452,plain,(
% 8.48/2.14    ( ! [X3 : code_integer] : (lG485(X3) = iG486(zero_zero(code_integer),X3)) )),
% 8.48/2.14    inference(equality_resolution,[],[f44856])).
% 8.48/2.14  tff(f44856,plain,(
% 8.48/2.14    ( ! [X2 : code_integer,X3 : code_integer] : (lG485(X3) = iG486(X2,X3) | zero_zero(code_integer) != X2) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26162])).
% 8.48/2.14  tff(f26162,plain,(
% 8.48/2.14    ! [X0 : code_integer,X1 : code_integer] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),lG485(X1)),one_one(nat)) = iG486(X0,X1) | zero_zero(code_integer) = X0) & ! [X2 : code_integer,X3 : code_integer] : (lG485(X3) = iG486(X2,X3) | zero_zero(code_integer) != X2)),
% 8.48/2.14    inference(ennf_transformation,[],[f20492])).
% 8.48/2.14  tff(f20492,plain,(
% 8.48/2.14    ! [X0 : code_integer,X1 : code_integer] : (zero_zero(code_integer) != X0 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),lG485(X1)),one_one(nat)) = iG486(X0,X1)) & ! [X2 : code_integer,X3 : code_integer] : (zero_zero(code_integer) = X2 => lG485(X3) = iG486(X2,X3))),
% 8.48/2.14    inference(flattening,[],[f20491])).
% 8.48/2.14  tff(f20491,plain,(
% 8.48/2.14    ! [X0 : code_integer,X1 : code_integer] : (~zero_zero(code_integer) = X0 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),lG485(X1)),one_one(nat)) = iG486(X0,X1)) & ! [X2 : code_integer,X3 : code_integer] : (zero_zero(code_integer) = X2 => lG485(X3) = iG486(X2,X3))),
% 8.48/2.14    inference(rectify,[],[f14679])).
% 8.48/2.14  tff(f14679,plain,(
% 8.48/2.14    ! [X1 : code_integer,X0 : code_integer] : (~zero_zero(code_integer) = X1 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),lG485(X0)),one_one(nat)) = iG486(X1,X0)) & ! [X1 : code_integer,X0 : code_integer] : (zero_zero(code_integer) = X1 => lG485(X0) = iG486(X1,X0))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG486])])).
% 8.48/2.14  tff(f44857,plain,(
% 8.48/2.14    ( ! [X0 : code_integer,X1 : code_integer] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),lG485(X1)),one_one(nat)) = iG486(X0,X1) | zero_zero(code_integer) = X0) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26162])).
% 8.48/2.14  tff(f44854,plain,(
% 8.48/2.14    ( ! [X0 : int] : (($true = bG487(X0)) | zero_zero(int) = X0) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36346])).
% 8.48/2.14  tff(f36346,plain,(
% 8.48/2.14    ! [X0 : int] : ((zero_zero(int) != X0 | ($true != bG487(X0))) & (($true = bG487(X0)) | zero_zero(int) = X0))),
% 8.48/2.14    inference(nnf_transformation,[],[f20490])).
% 8.48/2.14  tff(f20490,plain,(
% 8.48/2.14    ! [X0 : int] : (zero_zero(int) != X0 <=> ($true = bG487(X0)))),
% 8.48/2.14    inference(rectify,[],[f14682])).
% 8.48/2.14  tff(f14682,plain,(
% 8.48/2.14    ! [X1 : int] : (zero_zero(int) != X1 <=> ($true = bG487(X1)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG487])])).
% 8.48/2.14  tff(f61451,plain,(
% 8.48/2.14    ($true != bG487(zero_zero(int)))),
% 8.48/2.14    inference(equality_resolution,[],[f44855])).
% 8.48/2.14  tff(f44855,plain,(
% 8.48/2.14    ( ! [X0 : int] : (zero_zero(int) != X0 | ($true != bG487(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36346])).
% 8.48/2.14  tff(f44853,plain,(
% 8.48/2.14    ( ! [X0 : nat] : (aa(a,a,aa(a,fun(a,a),times_times(a),aa(num,a,numeral_numeral(a),aa(num,num,bit0,one2))),aa(nat,a,semiring_1_of_nat(a),X0)) = lG488(X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f14685])).
% 8.48/2.14  tff(f14685,plain,(
% 8.48/2.14    ! [X0 : nat] : aa(a,a,aa(a,fun(a,a),times_times(a),aa(num,a,numeral_numeral(a),aa(num,num,bit0,one2))),aa(nat,a,semiring_1_of_nat(a),X0)) = lG488(X0)),
% 8.48/2.14    introduced(fool_let_definition,[new_symbols(definition,[lG488])])).
% 8.48/2.14  tff(f61450,plain,(
% 8.48/2.14    ( ! [X3 : nat] : (lG488(X3) = iG489(zero_zero(nat),X3)) )),
% 8.48/2.14    inference(equality_resolution,[],[f44851])).
% 8.48/2.14  tff(f44851,plain,(
% 8.48/2.14    ( ! [X2 : nat,X3 : nat] : (lG488(X3) = iG489(X2,X3) | zero_zero(nat) != X2) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26161])).
% 8.48/2.14  tff(f26161,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : (aa(a,a,aa(a,fun(a,a),plus_plus(a),lG488(X1)),one_one(a)) = iG489(X0,X1) | zero_zero(nat) = X0) & ! [X2 : nat,X3 : nat] : (lG488(X3) = iG489(X2,X3) | zero_zero(nat) != X2)),
% 8.48/2.14    inference(ennf_transformation,[],[f20489])).
% 8.48/2.14  tff(f20489,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : (zero_zero(nat) != X0 => aa(a,a,aa(a,fun(a,a),plus_plus(a),lG488(X1)),one_one(a)) = iG489(X0,X1)) & ! [X2 : nat,X3 : nat] : (zero_zero(nat) = X2 => lG488(X3) = iG489(X2,X3))),
% 8.48/2.14    inference(flattening,[],[f20488])).
% 8.48/2.14  tff(f20488,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : (~zero_zero(nat) = X0 => aa(a,a,aa(a,fun(a,a),plus_plus(a),lG488(X1)),one_one(a)) = iG489(X0,X1)) & ! [X2 : nat,X3 : nat] : (zero_zero(nat) = X2 => lG488(X3) = iG489(X2,X3))),
% 8.48/2.14    inference(rectify,[],[f14686])).
% 8.48/2.14  tff(f14686,plain,(
% 8.48/2.14    ! [X1 : nat,X0 : nat] : (~zero_zero(nat) = X1 => aa(a,a,aa(a,fun(a,a),plus_plus(a),lG488(X0)),one_one(a)) = iG489(X1,X0)) & ! [X1 : nat,X0 : nat] : (zero_zero(nat) = X1 => lG488(X0) = iG489(X1,X0))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG489])])).
% 8.48/2.14  tff(f44852,plain,(
% 8.48/2.14    ( ! [X0 : nat,X1 : nat] : (aa(a,a,aa(a,fun(a,a),plus_plus(a),lG488(X1)),one_one(a)) = iG489(X0,X1) | zero_zero(nat) = X0) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26161])).
% 8.48/2.14  tff(f44849,plain,(
% 8.48/2.14    ( ! [X2 : nat,X3 : nat] : (zero_zero(int) = iG490(X2,X3) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),aa(nat,int,semiring_1_of_nat(int),X3)),aa(nat,int,semiring_1_of_nat(int),X2)))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26160])).
% 8.48/2.14  tff(f26160,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),aa(nat,int,semiring_1_of_nat(int),X1)),aa(nat,int,semiring_1_of_nat(int),X0)) = iG490(X0,X1) | ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),aa(nat,int,semiring_1_of_nat(int),X1)),aa(nat,int,semiring_1_of_nat(int),X0)))) & ! [X2 : nat,X3 : nat] : (zero_zero(int) = iG490(X2,X3) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),aa(nat,int,semiring_1_of_nat(int),X3)),aa(nat,int,semiring_1_of_nat(int),X2))))),
% 8.48/2.14    inference(ennf_transformation,[],[f20487])).
% 8.48/2.14  tff(f20487,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : (($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),aa(nat,int,semiring_1_of_nat(int),X1)),aa(nat,int,semiring_1_of_nat(int),X0))) => aa(int,int,aa(int,fun(int,int),minus_minus(int),aa(nat,int,semiring_1_of_nat(int),X1)),aa(nat,int,semiring_1_of_nat(int),X0)) = iG490(X0,X1)) & ! [X2 : nat,X3 : nat] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),aa(nat,int,semiring_1_of_nat(int),X3)),aa(nat,int,semiring_1_of_nat(int),X2))) => zero_zero(int) = iG490(X2,X3))),
% 8.48/2.14    inference(flattening,[],[f20486])).
% 8.48/2.14  tff(f20486,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : (~($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),aa(nat,int,semiring_1_of_nat(int),X1)),aa(nat,int,semiring_1_of_nat(int),X0))) => aa(int,int,aa(int,fun(int,int),minus_minus(int),aa(nat,int,semiring_1_of_nat(int),X1)),aa(nat,int,semiring_1_of_nat(int),X0)) = iG490(X0,X1)) & ! [X2 : nat,X3 : nat] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),aa(nat,int,semiring_1_of_nat(int),X3)),aa(nat,int,semiring_1_of_nat(int),X2))) => zero_zero(int) = iG490(X2,X3))),
% 8.48/2.14    inference(rectify,[],[f14689])).
% 8.48/2.14  tff(f14689,plain,(
% 8.48/2.14    ! [X1 : nat,X0 : nat] : (~($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),aa(nat,int,semiring_1_of_nat(int),X0)),aa(nat,int,semiring_1_of_nat(int),X1))) => aa(int,int,aa(int,fun(int,int),minus_minus(int),aa(nat,int,semiring_1_of_nat(int),X0)),aa(nat,int,semiring_1_of_nat(int),X1)) = iG490(X1,X0)) & ! [X1 : nat,X0 : nat] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),aa(nat,int,semiring_1_of_nat(int),X0)),aa(nat,int,semiring_1_of_nat(int),X1))) => zero_zero(int) = iG490(X1,X0))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG490])])).
% 8.48/2.14  tff(f44850,plain,(
% 8.48/2.14    ( ! [X0 : nat,X1 : nat] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),aa(nat,int,semiring_1_of_nat(int),X1)),aa(nat,int,semiring_1_of_nat(int),X0)) = iG490(X0,X1) | ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),aa(nat,int,semiring_1_of_nat(int),X1)),aa(nat,int,semiring_1_of_nat(int),X0)))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26160])).
% 8.48/2.14  tff(f44847,plain,(
% 8.48/2.14    ( ! [X0 : int] : (($true = bG491(X0)) | zero_zero(int) = X0) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36345])).
% 8.48/2.14  tff(f36345,plain,(
% 8.48/2.14    ! [X0 : int] : ((zero_zero(int) != X0 | ($true != bG491(X0))) & (($true = bG491(X0)) | zero_zero(int) = X0))),
% 8.48/2.14    inference(nnf_transformation,[],[f20485])).
% 8.48/2.14  tff(f20485,plain,(
% 8.48/2.14    ! [X0 : int] : (zero_zero(int) != X0 <=> ($true = bG491(X0)))),
% 8.48/2.14    inference(rectify,[],[f14692])).
% 8.48/2.14  tff(f14692,plain,(
% 8.48/2.14    ! [X1 : int] : (zero_zero(int) != X1 <=> ($true = bG491(X1)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG491])])).
% 8.48/2.14  tff(f61449,plain,(
% 8.48/2.14    ($true != bG491(zero_zero(int)))),
% 8.48/2.14    inference(equality_resolution,[],[f44848])).
% 8.48/2.14  tff(f44848,plain,(
% 8.48/2.14    ( ! [X0 : int] : (zero_zero(int) != X0 | ($true != bG491(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36345])).
% 8.48/2.14  tff(f44845,plain,(
% 8.48/2.14    ( ! [X2 : num,X3 : num] : (aa(list(int),list(int),cons(int,aa(num,int,numeral_numeral(int),X3)),upto(aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(num,int,numeral_numeral(int),X3)),one_one(int)),aa(int,int,uminus_uminus(int),aa(num,int,numeral_numeral(int),X2)))) = iG492(X2,X3) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),aa(num,int,numeral_numeral(int),X3)),aa(int,int,uminus_uminus(int),aa(num,int,numeral_numeral(int),X2))))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26159])).
% 8.48/2.14  tff(f26159,plain,(
% 8.48/2.14    ! [X0 : num,X1 : num] : (nil(int) = iG492(X0,X1) | ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),aa(num,int,numeral_numeral(int),X1)),aa(int,int,uminus_uminus(int),aa(num,int,numeral_numeral(int),X0))))) & ! [X2 : num,X3 : num] : (aa(list(int),list(int),cons(int,aa(num,int,numeral_numeral(int),X3)),upto(aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(num,int,numeral_numeral(int),X3)),one_one(int)),aa(int,int,uminus_uminus(int),aa(num,int,numeral_numeral(int),X2)))) = iG492(X2,X3) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),aa(num,int,numeral_numeral(int),X3)),aa(int,int,uminus_uminus(int),aa(num,int,numeral_numeral(int),X2)))))),
% 8.48/2.14    inference(ennf_transformation,[],[f20484])).
% 8.48/2.14  tff(f20484,plain,(
% 8.48/2.14    ! [X0 : num,X1 : num] : (($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),aa(num,int,numeral_numeral(int),X1)),aa(int,int,uminus_uminus(int),aa(num,int,numeral_numeral(int),X0)))) => nil(int) = iG492(X0,X1)) & ! [X2 : num,X3 : num] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),aa(num,int,numeral_numeral(int),X3)),aa(int,int,uminus_uminus(int),aa(num,int,numeral_numeral(int),X2)))) => aa(list(int),list(int),cons(int,aa(num,int,numeral_numeral(int),X3)),upto(aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(num,int,numeral_numeral(int),X3)),one_one(int)),aa(int,int,uminus_uminus(int),aa(num,int,numeral_numeral(int),X2)))) = iG492(X2,X3))),
% 8.48/2.14    inference(flattening,[],[f20483])).
% 8.48/2.14  tff(f20483,plain,(
% 8.48/2.14    ! [X0 : num,X1 : num] : (~($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),aa(num,int,numeral_numeral(int),X1)),aa(int,int,uminus_uminus(int),aa(num,int,numeral_numeral(int),X0)))) => nil(int) = iG492(X0,X1)) & ! [X2 : num,X3 : num] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),aa(num,int,numeral_numeral(int),X3)),aa(int,int,uminus_uminus(int),aa(num,int,numeral_numeral(int),X2)))) => aa(list(int),list(int),cons(int,aa(num,int,numeral_numeral(int),X3)),upto(aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(num,int,numeral_numeral(int),X3)),one_one(int)),aa(int,int,uminus_uminus(int),aa(num,int,numeral_numeral(int),X2)))) = iG492(X2,X3))),
% 8.48/2.14    inference(rectify,[],[f14695])).
% 8.48/2.14  tff(f14695,plain,(
% 8.48/2.14    ! [X1 : num,X0 : num] : (~($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),aa(num,int,numeral_numeral(int),X0)),aa(int,int,uminus_uminus(int),aa(num,int,numeral_numeral(int),X1)))) => nil(int) = iG492(X1,X0)) & ! [X1 : num,X0 : num] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),aa(num,int,numeral_numeral(int),X0)),aa(int,int,uminus_uminus(int),aa(num,int,numeral_numeral(int),X1)))) => aa(list(int),list(int),cons(int,aa(num,int,numeral_numeral(int),X0)),upto(aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(num,int,numeral_numeral(int),X0)),one_one(int)),aa(int,int,uminus_uminus(int),aa(num,int,numeral_numeral(int),X1)))) = iG492(X1,X0))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG492])])).
% 8.48/2.14  tff(f44846,plain,(
% 8.48/2.14    ( ! [X0 : num,X1 : num] : (nil(int) = iG492(X0,X1) | ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),aa(num,int,numeral_numeral(int),X1)),aa(int,int,uminus_uminus(int),aa(num,int,numeral_numeral(int),X0))))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26159])).
% 8.48/2.14  tff(f44843,plain,(
% 8.48/2.14    ( ! [X2 : num,X3 : num] : (aa(list(int),list(int),cons(int,aa(int,int,uminus_uminus(int),aa(num,int,numeral_numeral(int),X3))),upto(aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,uminus_uminus(int),aa(num,int,numeral_numeral(int),X3))),one_one(int)),aa(num,int,numeral_numeral(int),X2))) = iG493(X2,X3) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),aa(int,int,uminus_uminus(int),aa(num,int,numeral_numeral(int),X3))),aa(num,int,numeral_numeral(int),X2)))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26158])).
% 8.48/2.14  tff(f26158,plain,(
% 8.48/2.14    ! [X0 : num,X1 : num] : (nil(int) = iG493(X0,X1) | ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),aa(int,int,uminus_uminus(int),aa(num,int,numeral_numeral(int),X1))),aa(num,int,numeral_numeral(int),X0)))) & ! [X2 : num,X3 : num] : (aa(list(int),list(int),cons(int,aa(int,int,uminus_uminus(int),aa(num,int,numeral_numeral(int),X3))),upto(aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,uminus_uminus(int),aa(num,int,numeral_numeral(int),X3))),one_one(int)),aa(num,int,numeral_numeral(int),X2))) = iG493(X2,X3) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),aa(int,int,uminus_uminus(int),aa(num,int,numeral_numeral(int),X3))),aa(num,int,numeral_numeral(int),X2))))),
% 8.48/2.14    inference(ennf_transformation,[],[f20482])).
% 8.48/2.14  tff(f20482,plain,(
% 8.48/2.14    ! [X0 : num,X1 : num] : (($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),aa(int,int,uminus_uminus(int),aa(num,int,numeral_numeral(int),X1))),aa(num,int,numeral_numeral(int),X0))) => nil(int) = iG493(X0,X1)) & ! [X2 : num,X3 : num] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),aa(int,int,uminus_uminus(int),aa(num,int,numeral_numeral(int),X3))),aa(num,int,numeral_numeral(int),X2))) => aa(list(int),list(int),cons(int,aa(int,int,uminus_uminus(int),aa(num,int,numeral_numeral(int),X3))),upto(aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,uminus_uminus(int),aa(num,int,numeral_numeral(int),X3))),one_one(int)),aa(num,int,numeral_numeral(int),X2))) = iG493(X2,X3))),
% 8.48/2.14    inference(flattening,[],[f20481])).
% 8.48/2.14  tff(f20481,plain,(
% 8.48/2.14    ! [X0 : num,X1 : num] : (~($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),aa(int,int,uminus_uminus(int),aa(num,int,numeral_numeral(int),X1))),aa(num,int,numeral_numeral(int),X0))) => nil(int) = iG493(X0,X1)) & ! [X2 : num,X3 : num] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),aa(int,int,uminus_uminus(int),aa(num,int,numeral_numeral(int),X3))),aa(num,int,numeral_numeral(int),X2))) => aa(list(int),list(int),cons(int,aa(int,int,uminus_uminus(int),aa(num,int,numeral_numeral(int),X3))),upto(aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,uminus_uminus(int),aa(num,int,numeral_numeral(int),X3))),one_one(int)),aa(num,int,numeral_numeral(int),X2))) = iG493(X2,X3))),
% 8.48/2.14    inference(rectify,[],[f14698])).
% 8.48/2.14  tff(f14698,plain,(
% 8.48/2.14    ! [X1 : num,X0 : num] : (~($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),aa(int,int,uminus_uminus(int),aa(num,int,numeral_numeral(int),X0))),aa(num,int,numeral_numeral(int),X1))) => nil(int) = iG493(X1,X0)) & ! [X1 : num,X0 : num] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),aa(int,int,uminus_uminus(int),aa(num,int,numeral_numeral(int),X0))),aa(num,int,numeral_numeral(int),X1))) => aa(list(int),list(int),cons(int,aa(int,int,uminus_uminus(int),aa(num,int,numeral_numeral(int),X0))),upto(aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,uminus_uminus(int),aa(num,int,numeral_numeral(int),X0))),one_one(int)),aa(num,int,numeral_numeral(int),X1))) = iG493(X1,X0))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG493])])).
% 8.48/2.14  tff(f44844,plain,(
% 8.48/2.14    ( ! [X0 : num,X1 : num] : (nil(int) = iG493(X0,X1) | ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),aa(int,int,uminus_uminus(int),aa(num,int,numeral_numeral(int),X1))),aa(num,int,numeral_numeral(int),X0)))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26158])).
% 8.48/2.14  tff(f61448,plain,(
% 8.48/2.14    ( ! [X3 : int] : (aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),zero_zero(int)),one_one(int)) = iG494(zero_zero(int),X3)) )),
% 8.48/2.14    inference(equality_resolution,[],[f44841])).
% 8.48/2.14  tff(f44841,plain,(
% 8.48/2.14    ( ! [X2 : int,X3 : int] : (aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),zero_zero(int)),one_one(int)) = iG494(X2,X3) | zero_zero(int) != X2) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26157])).
% 8.48/2.14  tff(f26157,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),aa(int,int,aa(int,fun(int,int),times_times(int),aa(int,int,sgn_sgn(int),X0)),X1)),aa(int,int,abs_abs(int),X0)) = iG494(X0,X1) | zero_zero(int) = X0) & ! [X2 : int,X3 : int] : (aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),zero_zero(int)),one_one(int)) = iG494(X2,X3) | zero_zero(int) != X2)),
% 8.48/2.14    inference(ennf_transformation,[],[f20480])).
% 8.48/2.14  tff(f20480,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (zero_zero(int) != X0 => aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),aa(int,int,aa(int,fun(int,int),times_times(int),aa(int,int,sgn_sgn(int),X0)),X1)),aa(int,int,abs_abs(int),X0)) = iG494(X0,X1)) & ! [X2 : int,X3 : int] : (zero_zero(int) = X2 => aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),zero_zero(int)),one_one(int)) = iG494(X2,X3))),
% 8.48/2.14    inference(flattening,[],[f20479])).
% 8.48/2.14  tff(f20479,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (~zero_zero(int) = X0 => aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),aa(int,int,aa(int,fun(int,int),times_times(int),aa(int,int,sgn_sgn(int),X0)),X1)),aa(int,int,abs_abs(int),X0)) = iG494(X0,X1)) & ! [X2 : int,X3 : int] : (zero_zero(int) = X2 => aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),zero_zero(int)),one_one(int)) = iG494(X2,X3))),
% 8.48/2.14    inference(rectify,[],[f14701])).
% 8.48/2.14  tff(f14701,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (~zero_zero(int) = X0 => aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),aa(int,int,aa(int,fun(int,int),times_times(int),aa(int,int,sgn_sgn(int),X0)),X1)),aa(int,int,abs_abs(int),X0)) = iG494(X0,X1)) & ! [X0 : int,X1 : int] : (zero_zero(int) = X0 => aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),zero_zero(int)),one_one(int)) = iG494(X0,X1))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG494])])).
% 8.48/2.14  tff(f44842,plain,(
% 8.48/2.14    ( ! [X0 : int,X1 : int] : (aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),aa(int,int,aa(int,fun(int,int),times_times(int),aa(int,int,sgn_sgn(int),X0)),X1)),aa(int,int,abs_abs(int),X0)) = iG494(X0,X1) | zero_zero(int) = X0) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26157])).
% 8.48/2.14  tff(f44839,plain,(
% 8.48/2.14    ( ! [X2 : num,X3 : num] : (aa(list(int),list(int),cons(int,aa(int,int,uminus_uminus(int),aa(num,int,numeral_numeral(int),X3))),upto(aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,uminus_uminus(int),aa(num,int,numeral_numeral(int),X3))),one_one(int)),aa(int,int,uminus_uminus(int),aa(num,int,numeral_numeral(int),X2)))) = iG495(X2,X3) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),aa(int,int,uminus_uminus(int),aa(num,int,numeral_numeral(int),X3))),aa(int,int,uminus_uminus(int),aa(num,int,numeral_numeral(int),X2))))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26156])).
% 8.48/2.14  tff(f26156,plain,(
% 8.48/2.14    ! [X0 : num,X1 : num] : (nil(int) = iG495(X0,X1) | ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),aa(int,int,uminus_uminus(int),aa(num,int,numeral_numeral(int),X1))),aa(int,int,uminus_uminus(int),aa(num,int,numeral_numeral(int),X0))))) & ! [X2 : num,X3 : num] : (aa(list(int),list(int),cons(int,aa(int,int,uminus_uminus(int),aa(num,int,numeral_numeral(int),X3))),upto(aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,uminus_uminus(int),aa(num,int,numeral_numeral(int),X3))),one_one(int)),aa(int,int,uminus_uminus(int),aa(num,int,numeral_numeral(int),X2)))) = iG495(X2,X3) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),aa(int,int,uminus_uminus(int),aa(num,int,numeral_numeral(int),X3))),aa(int,int,uminus_uminus(int),aa(num,int,numeral_numeral(int),X2)))))),
% 8.48/2.14    inference(ennf_transformation,[],[f20478])).
% 8.48/2.14  tff(f20478,plain,(
% 8.48/2.14    ! [X0 : num,X1 : num] : (($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),aa(int,int,uminus_uminus(int),aa(num,int,numeral_numeral(int),X1))),aa(int,int,uminus_uminus(int),aa(num,int,numeral_numeral(int),X0)))) => nil(int) = iG495(X0,X1)) & ! [X2 : num,X3 : num] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),aa(int,int,uminus_uminus(int),aa(num,int,numeral_numeral(int),X3))),aa(int,int,uminus_uminus(int),aa(num,int,numeral_numeral(int),X2)))) => aa(list(int),list(int),cons(int,aa(int,int,uminus_uminus(int),aa(num,int,numeral_numeral(int),X3))),upto(aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,uminus_uminus(int),aa(num,int,numeral_numeral(int),X3))),one_one(int)),aa(int,int,uminus_uminus(int),aa(num,int,numeral_numeral(int),X2)))) = iG495(X2,X3))),
% 8.48/2.14    inference(flattening,[],[f20477])).
% 8.48/2.14  tff(f20477,plain,(
% 8.48/2.14    ! [X0 : num,X1 : num] : (~($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),aa(int,int,uminus_uminus(int),aa(num,int,numeral_numeral(int),X1))),aa(int,int,uminus_uminus(int),aa(num,int,numeral_numeral(int),X0)))) => nil(int) = iG495(X0,X1)) & ! [X2 : num,X3 : num] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),aa(int,int,uminus_uminus(int),aa(num,int,numeral_numeral(int),X3))),aa(int,int,uminus_uminus(int),aa(num,int,numeral_numeral(int),X2)))) => aa(list(int),list(int),cons(int,aa(int,int,uminus_uminus(int),aa(num,int,numeral_numeral(int),X3))),upto(aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,uminus_uminus(int),aa(num,int,numeral_numeral(int),X3))),one_one(int)),aa(int,int,uminus_uminus(int),aa(num,int,numeral_numeral(int),X2)))) = iG495(X2,X3))),
% 8.48/2.14    inference(rectify,[],[f14704])).
% 8.48/2.14  tff(f14704,plain,(
% 8.48/2.14    ! [X1 : num,X0 : num] : (~($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),aa(int,int,uminus_uminus(int),aa(num,int,numeral_numeral(int),X0))),aa(int,int,uminus_uminus(int),aa(num,int,numeral_numeral(int),X1)))) => nil(int) = iG495(X1,X0)) & ! [X1 : num,X0 : num] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),aa(int,int,uminus_uminus(int),aa(num,int,numeral_numeral(int),X0))),aa(int,int,uminus_uminus(int),aa(num,int,numeral_numeral(int),X1)))) => aa(list(int),list(int),cons(int,aa(int,int,uminus_uminus(int),aa(num,int,numeral_numeral(int),X0))),upto(aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,uminus_uminus(int),aa(num,int,numeral_numeral(int),X0))),one_one(int)),aa(int,int,uminus_uminus(int),aa(num,int,numeral_numeral(int),X1)))) = iG495(X1,X0))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG495])])).
% 8.48/2.14  tff(f44840,plain,(
% 8.48/2.14    ( ! [X0 : num,X1 : num] : (nil(int) = iG495(X0,X1) | ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),aa(int,int,uminus_uminus(int),aa(num,int,numeral_numeral(int),X1))),aa(int,int,uminus_uminus(int),aa(num,int,numeral_numeral(int),X0))))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26156])).
% 8.48/2.14  tff(f44837,plain,(
% 8.48/2.14    ( ! [X2 : nat,X3 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X2),X3) = iG496(X2,X3) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),X2))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26155])).
% 8.48/2.14  tff(f26155,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),X0) = iG496(X0,X1) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X0))) & ! [X2 : nat,X3 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X2),X3) = iG496(X2,X3) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),X2)))),
% 8.48/2.14    inference(ennf_transformation,[],[f20476])).
% 8.48/2.14  tff(f20476,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X0)) => aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),X0) = iG496(X0,X1)) & ! [X2 : nat,X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),X2)) => aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X2),X3) = iG496(X2,X3))),
% 8.48/2.14    inference(flattening,[],[f20475])).
% 8.48/2.14  tff(f20475,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X0)) => aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),X0) = iG496(X0,X1)) & ! [X2 : nat,X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),X2)) => aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X2),X3) = iG496(X2,X3))),
% 8.48/2.14    inference(rectify,[],[f14707])).
% 8.48/2.14  tff(f14707,plain,(
% 8.48/2.14    ! [X1 : nat,X0 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X0),X1)) => aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),X1) = iG496(X1,X0)) & ! [X1 : nat,X0 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X0),X1)) => aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),X0) = iG496(X1,X0))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG496])])).
% 8.48/2.14  tff(f44838,plain,(
% 8.48/2.14    ( ! [X0 : nat,X1 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),X0) = iG496(X0,X1) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26155])).
% 8.48/2.14  tff(f61447,plain,(
% 8.48/2.14    ($true = bG497($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44835])).
% 8.48/2.14  tff(f44835,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG497(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36344])).
% 8.48/2.14  tff(f36344,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG497(X0))) & (($true = bG497(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f14710])).
% 8.48/2.14  tff(f14710,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG497(X0)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG497])])).
% 8.48/2.14  tff(f44836,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG497(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36344])).
% 8.48/2.14  tff(f61446,plain,(
% 8.48/2.14    ($true = bG498($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44833])).
% 8.48/2.14  tff(f44833,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG498(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36343])).
% 8.48/2.14  tff(f36343,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG498(X0))) & (($true = bG498(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20474])).
% 8.48/2.14  tff(f20474,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG498(X0)))),
% 8.48/2.14    inference(rectify,[],[f14711])).
% 8.48/2.14  tff(f14711,plain,(
% 8.48/2.14    ! [X1 : $o] : (($true = X1) <=> ($true = bG498(X1)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG498])])).
% 8.48/2.14  tff(f44834,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG498(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36343])).
% 8.48/2.14  tff(f61445,plain,(
% 8.48/2.14    aa(nat,option(nat),some(nat),zero_zero(nat)) = iG499($true)),
% 8.48/2.14    inference(equality_resolution,[],[f44831])).
% 8.48/2.14  tff(f44831,plain,(
% 8.48/2.14    ( ! [X1 : $o] : (aa(nat,option(nat),some(nat),zero_zero(nat)) = iG499(X1) | ($true != X1)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26154])).
% 8.48/2.14  tff(f26154,plain,(
% 8.48/2.14    ! [X0 : $o] : (none(nat) = iG499(X0) | ($true = X0)) & ! [X1 : $o] : (aa(nat,option(nat),some(nat),zero_zero(nat)) = iG499(X1) | ($true != X1))),
% 8.48/2.14    inference(ennf_transformation,[],[f20473])).
% 8.48/2.14  tff(f20473,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true != X0) => none(nat) = iG499(X0)) & ! [X1 : $o] : (($true = X1) => aa(nat,option(nat),some(nat),zero_zero(nat)) = iG499(X1))),
% 8.48/2.14    inference(flattening,[],[f20472])).
% 8.48/2.14  tff(f20472,plain,(
% 8.48/2.14    ! [X0 : $o] : (~($true = X0) => none(nat) = iG499(X0)) & ! [X1 : $o] : (($true = X1) => aa(nat,option(nat),some(nat),zero_zero(nat)) = iG499(X1))),
% 8.48/2.14    inference(rectify,[],[f14712])).
% 8.48/2.14  tff(f14712,plain,(
% 8.48/2.14    ! [X0 : $o] : (~($true = X0) => none(nat) = iG499(X0)) & ! [X0 : $o] : (($true = X0) => aa(nat,option(nat),some(nat),zero_zero(nat)) = iG499(X0))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG499])])).
% 8.48/2.14  tff(f44832,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (none(nat) = iG499(X0) | ($true = X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26154])).
% 8.48/2.14  tff(f61444,plain,(
% 8.48/2.14    ( ! [X3 : $o] : (aa(nat,option(nat),some(nat),one_one(nat)) = iG500($true,X3)) )),
% 8.48/2.14    inference(equality_resolution,[],[f44829])).
% 8.48/2.14  tff(f44829,plain,(
% 8.48/2.14    ( ! [X2 : $o,X3 : $o] : (aa(nat,option(nat),some(nat),one_one(nat)) = iG500(X2,X3) | ($true != X2)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26153])).
% 8.48/2.14  tff(f26153,plain,(
% 8.48/2.14    ! [X0 : $o,X1 : $o] : (iG499(X1) = iG500(X0,X1) | ($true = X0)) & ! [X2 : $o,X3 : $o] : (aa(nat,option(nat),some(nat),one_one(nat)) = iG500(X2,X3) | ($true != X2))),
% 8.48/2.14    inference(ennf_transformation,[],[f20471])).
% 8.48/2.14  tff(f20471,plain,(
% 8.48/2.14    ! [X0 : $o,X1 : $o] : (($true != X0) => iG499(X1) = iG500(X0,X1)) & ! [X2 : $o,X3 : $o] : (($true = X2) => aa(nat,option(nat),some(nat),one_one(nat)) = iG500(X2,X3))),
% 8.48/2.14    inference(flattening,[],[f20470])).
% 8.48/2.14  tff(f20470,plain,(
% 8.48/2.14    ! [X0 : $o,X1 : $o] : (~($true = X0) => iG499(X1) = iG500(X0,X1)) & ! [X2 : $o,X3 : $o] : (($true = X2) => aa(nat,option(nat),some(nat),one_one(nat)) = iG500(X2,X3))),
% 8.48/2.14    inference(rectify,[],[f14713])).
% 8.48/2.14  tff(f14713,plain,(
% 8.48/2.14    ! [X1 : $o,X0 : $o] : (~($true = X1) => iG499(X0) = iG500(X1,X0)) & ! [X1 : $o,X0 : $o] : (($true = X1) => aa(nat,option(nat),some(nat),one_one(nat)) = iG500(X1,X0))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG500])])).
% 8.48/2.14  tff(f44830,plain,(
% 8.48/2.14    ( ! [X0 : $o,X1 : $o] : (iG499(X1) = iG500(X0,X1) | ($true = X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26153])).
% 8.48/2.14  tff(f61443,plain,(
% 8.48/2.14    ($true = bG501($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44827])).
% 8.48/2.14  tff(f44827,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG501(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36342])).
% 8.48/2.14  tff(f36342,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG501(X0))) & (($true = bG501(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f14716])).
% 8.48/2.14  tff(f14716,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG501(X0)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG501])])).
% 8.48/2.14  tff(f44828,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG501(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36342])).
% 8.48/2.14  tff(f61442,plain,(
% 8.48/2.14    ($true = bG502($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44825])).
% 8.48/2.14  tff(f44825,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG502(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36341])).
% 8.48/2.14  tff(f36341,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG502(X0))) & (($true = bG502(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20469])).
% 8.48/2.14  tff(f20469,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG502(X0)))),
% 8.48/2.14    inference(rectify,[],[f14717])).
% 8.48/2.14  tff(f14717,plain,(
% 8.48/2.14    ! [X1 : $o] : (($true = X1) <=> ($true = bG502(X1)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG502])])).
% 8.48/2.14  tff(f44826,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG502(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36341])).
% 8.48/2.14  tff(f61441,plain,(
% 8.48/2.14    aa(nat,option(nat),some(nat),one_one(nat)) = iG503($true)),
% 8.48/2.14    inference(equality_resolution,[],[f44823])).
% 8.48/2.14  tff(f44823,plain,(
% 8.48/2.14    ( ! [X1 : $o] : (aa(nat,option(nat),some(nat),one_one(nat)) = iG503(X1) | ($true != X1)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26152])).
% 8.48/2.14  tff(f26152,plain,(
% 8.48/2.14    ! [X0 : $o] : (none(nat) = iG503(X0) | ($true = X0)) & ! [X1 : $o] : (aa(nat,option(nat),some(nat),one_one(nat)) = iG503(X1) | ($true != X1))),
% 8.48/2.14    inference(ennf_transformation,[],[f20468])).
% 8.48/2.14  tff(f20468,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true != X0) => none(nat) = iG503(X0)) & ! [X1 : $o] : (($true = X1) => aa(nat,option(nat),some(nat),one_one(nat)) = iG503(X1))),
% 8.48/2.14    inference(flattening,[],[f20467])).
% 8.48/2.14  tff(f20467,plain,(
% 8.48/2.14    ! [X0 : $o] : (~($true = X0) => none(nat) = iG503(X0)) & ! [X1 : $o] : (($true = X1) => aa(nat,option(nat),some(nat),one_one(nat)) = iG503(X1))),
% 8.48/2.14    inference(rectify,[],[f14718])).
% 8.48/2.14  tff(f14718,plain,(
% 8.48/2.14    ! [X1 : $o] : (~($true = X1) => none(nat) = iG503(X1)) & ! [X1 : $o] : (($true = X1) => aa(nat,option(nat),some(nat),one_one(nat)) = iG503(X1))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG503])])).
% 8.48/2.14  tff(f44824,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (none(nat) = iG503(X0) | ($true = X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26152])).
% 8.48/2.14  tff(f61440,plain,(
% 8.48/2.14    ( ! [X3 : $o] : (aa(nat,option(nat),some(nat),zero_zero(nat)) = iG504($true,X3)) )),
% 8.48/2.14    inference(equality_resolution,[],[f44821])).
% 8.48/2.14  tff(f44821,plain,(
% 8.48/2.14    ( ! [X2 : $o,X3 : $o] : (aa(nat,option(nat),some(nat),zero_zero(nat)) = iG504(X2,X3) | ($true != X2)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26151])).
% 8.48/2.14  tff(f26151,plain,(
% 8.48/2.14    ! [X0 : $o,X1 : $o] : (iG503(X1) = iG504(X0,X1) | ($true = X0)) & ! [X2 : $o,X3 : $o] : (aa(nat,option(nat),some(nat),zero_zero(nat)) = iG504(X2,X3) | ($true != X2))),
% 8.48/2.14    inference(ennf_transformation,[],[f20466])).
% 8.48/2.14  tff(f20466,plain,(
% 8.48/2.14    ! [X0 : $o,X1 : $o] : (($true != X0) => iG503(X1) = iG504(X0,X1)) & ! [X2 : $o,X3 : $o] : (($true = X2) => aa(nat,option(nat),some(nat),zero_zero(nat)) = iG504(X2,X3))),
% 8.48/2.14    inference(flattening,[],[f20465])).
% 8.48/2.14  tff(f20465,plain,(
% 8.48/2.14    ! [X0 : $o,X1 : $o] : (~($true = X0) => iG503(X1) = iG504(X0,X1)) & ! [X2 : $o,X3 : $o] : (($true = X2) => aa(nat,option(nat),some(nat),zero_zero(nat)) = iG504(X2,X3))),
% 8.48/2.14    inference(rectify,[],[f14719])).
% 8.48/2.14  tff(f14719,plain,(
% 8.48/2.14    ! [X0 : $o,X1 : $o] : (~($true = X0) => iG503(X1) = iG504(X0,X1)) & ! [X0 : $o,X1 : $o] : (($true = X0) => aa(nat,option(nat),some(nat),zero_zero(nat)) = iG504(X0,X1))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG504])])).
% 8.48/2.14  tff(f44822,plain,(
% 8.48/2.14    ( ! [X0 : $o,X1 : $o] : (iG503(X1) = iG504(X0,X1) | ($true = X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26151])).
% 8.48/2.14  tff(f61439,plain,(
% 8.48/2.14    ($true = bG505($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44819])).
% 8.48/2.14  tff(f44819,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG505(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36340])).
% 8.48/2.14  tff(f36340,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG505(X0))) & (($true = bG505(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f14722])).
% 8.48/2.14  tff(f14722,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG505(X0)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG505])])).
% 8.48/2.14  tff(f44820,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG505(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36340])).
% 8.48/2.14  tff(f61438,plain,(
% 8.48/2.14    ($true = bG506($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44817])).
% 8.48/2.14  tff(f44817,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG506(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36339])).
% 8.48/2.14  tff(f36339,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG506(X0))) & (($true = bG506(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20464])).
% 8.48/2.14  tff(f20464,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG506(X0)))),
% 8.48/2.14    inference(rectify,[],[f14723])).
% 8.48/2.14  tff(f14723,plain,(
% 8.48/2.14    ! [X1 : $o] : (($true = X1) <=> ($true = bG506(X1)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG506])])).
% 8.48/2.14  tff(f44818,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG506(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36339])).
% 8.48/2.14  tff(f61437,plain,(
% 8.48/2.14    ($true = bG507($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44815])).
% 8.48/2.14  tff(f44815,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG507(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36338])).
% 8.48/2.14  tff(f36338,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG507(X0))) & (($true = bG507(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f14726])).
% 8.48/2.14  tff(f14726,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG507(X0)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG507])])).
% 8.48/2.14  tff(f44816,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG507(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36338])).
% 8.48/2.14  tff(f61436,plain,(
% 8.48/2.14    ($true = bG508($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44813])).
% 8.48/2.14  tff(f44813,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG508(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36337])).
% 8.48/2.14  tff(f36337,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG508(X0))) & (($true = bG508(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20463])).
% 8.48/2.14  tff(f20463,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG508(X0)))),
% 8.48/2.14    inference(rectify,[],[f14727])).
% 8.48/2.14  tff(f14727,plain,(
% 8.48/2.14    ! [X1 : $o] : (($true = X1) <=> ($true = bG508(X1)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG508])])).
% 8.48/2.14  tff(f44814,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG508(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36337])).
% 8.48/2.14  tff(f61435,plain,(
% 8.48/2.14    aa(nat,option(nat),some(nat),zero_zero(nat)) = iG509($true)),
% 8.48/2.14    inference(equality_resolution,[],[f44811])).
% 8.48/2.14  tff(f44811,plain,(
% 8.48/2.14    ( ! [X1 : $o] : (aa(nat,option(nat),some(nat),zero_zero(nat)) = iG509(X1) | ($true != X1)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26150])).
% 8.48/2.14  tff(f26150,plain,(
% 8.48/2.14    ! [X0 : $o] : (none(nat) = iG509(X0) | ($true = X0)) & ! [X1 : $o] : (aa(nat,option(nat),some(nat),zero_zero(nat)) = iG509(X1) | ($true != X1))),
% 8.48/2.14    inference(ennf_transformation,[],[f20462])).
% 8.48/2.14  tff(f20462,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true != X0) => none(nat) = iG509(X0)) & ! [X1 : $o] : (($true = X1) => aa(nat,option(nat),some(nat),zero_zero(nat)) = iG509(X1))),
% 8.48/2.14    inference(flattening,[],[f20461])).
% 8.48/2.14  tff(f20461,plain,(
% 8.48/2.14    ! [X0 : $o] : (~($true = X0) => none(nat) = iG509(X0)) & ! [X1 : $o] : (($true = X1) => aa(nat,option(nat),some(nat),zero_zero(nat)) = iG509(X1))),
% 8.48/2.14    inference(rectify,[],[f14728])).
% 8.48/2.14  tff(f14728,plain,(
% 8.48/2.14    ! [X0 : $o] : (~($true = X0) => none(nat) = iG509(X0)) & ! [X0 : $o] : (($true = X0) => aa(nat,option(nat),some(nat),zero_zero(nat)) = iG509(X0))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG509])])).
% 8.48/2.14  tff(f44812,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (none(nat) = iG509(X0) | ($true = X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26150])).
% 8.48/2.14  tff(f61434,plain,(
% 8.48/2.14    ($true = bG510($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44809])).
% 8.48/2.14  tff(f44809,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG510(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36336])).
% 8.48/2.14  tff(f36336,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG510(X0))) & (($true = bG510(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f14731])).
% 8.48/2.14  tff(f14731,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG510(X0)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG510])])).
% 8.48/2.14  tff(f44810,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG510(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36336])).
% 8.48/2.14  tff(f61433,plain,(
% 8.48/2.14    ($true = bG511($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44807])).
% 8.48/2.14  tff(f44807,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG511(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36335])).
% 8.48/2.14  tff(f36335,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG511(X0))) & (($true = bG511(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20460])).
% 8.48/2.14  tff(f20460,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG511(X0)))),
% 8.48/2.14    inference(rectify,[],[f14732])).
% 8.48/2.14  tff(f14732,plain,(
% 8.48/2.14    ! [X1 : $o] : (($true = X1) <=> ($true = bG511(X1)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG511])])).
% 8.48/2.14  tff(f44808,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG511(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36335])).
% 8.48/2.14  tff(f61432,plain,(
% 8.48/2.14    ($true = bG512($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44805])).
% 8.48/2.14  tff(f44805,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG512(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36334])).
% 8.48/2.14  tff(f36334,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG512(X0))) & (($true = bG512(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f14735])).
% 8.48/2.14  tff(f14735,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG512(X0)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG512])])).
% 8.48/2.14  tff(f44806,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG512(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36334])).
% 8.48/2.14  tff(f61431,plain,(
% 8.48/2.14    ($true = bG513($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44803])).
% 8.48/2.14  tff(f44803,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG513(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36333])).
% 8.48/2.14  tff(f36333,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG513(X0))) & (($true = bG513(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20459])).
% 8.48/2.14  tff(f20459,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG513(X0)))),
% 8.48/2.14    inference(rectify,[],[f14736])).
% 8.48/2.14  tff(f14736,plain,(
% 8.48/2.14    ! [X1 : $o] : (($true = X1) <=> ($true = bG513(X1)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG513])])).
% 8.48/2.14  tff(f44804,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG513(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36333])).
% 8.48/2.14  tff(f61430,plain,(
% 8.48/2.14    ($true = bG514($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44801])).
% 8.48/2.14  tff(f44801,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG514(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36332])).
% 8.48/2.14  tff(f36332,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG514(X0))) & (($true = bG514(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20458])).
% 8.48/2.14  tff(f20458,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG514(X0)))),
% 8.48/2.14    inference(rectify,[],[f14739])).
% 8.48/2.14  tff(f14739,plain,(
% 8.48/2.14    ! [X1 : $o] : (($true = X1) <=> ($true = bG514(X1)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG514])])).
% 8.48/2.14  tff(f44802,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG514(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36332])).
% 8.48/2.14  tff(f61429,plain,(
% 8.48/2.14    ( ! [X2 : $tType] : (top_top(set(X2)) = iG515(X2,$true)) )),
% 8.48/2.14    inference(equality_resolution,[],[f44799])).
% 8.48/2.14  tff(f44799,plain,(
% 8.48/2.14    ( ! [X2 : $tType,X3 : $o] : (top_top(set(X2)) = iG515(X2,X3) | ($true != X3)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26149])).
% 8.48/2.14  tff(f26149,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : $o] : (bot_bot(set(X0)) = iG515(X0,X1) | ($true = X1)) & ! [X2 : $tType,X3 : $o] : (top_top(set(X2)) = iG515(X2,X3) | ($true != X3))),
% 8.48/2.14    inference(ennf_transformation,[],[f20457])).
% 8.48/2.14  tff(f20457,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : $o] : (($true != X1) => bot_bot(set(X0)) = iG515(X0,X1)) & ! [X2 : $tType,X3 : $o] : (($true = X3) => top_top(set(X2)) = iG515(X2,X3))),
% 8.48/2.14    inference(flattening,[],[f20456])).
% 8.48/2.14  tff(f20456,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : $o] : (~($true = X1) => bot_bot(set(X0)) = iG515(X0,X1)) & ! [X2 : $tType,X3 : $o] : (($true = X3) => top_top(set(X2)) = iG515(X2,X3))),
% 8.48/2.14    inference(rectify,[],[f14740])).
% 8.48/2.14  tff(f14740,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : $o] : (~($true = X1) => bot_bot(set(X0)) = iG515(X0,X1)) & ! [X0 : $tType,X1 : $o] : (($true = X1) => top_top(set(X0)) = iG515(X0,X1))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG515])])).
% 8.48/2.14  tff(f44800,plain,(
% 8.48/2.14    ( ! [X0 : $tType,X1 : $o] : (bot_bot(set(X0)) = iG515(X0,X1) | ($true = X1)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26149])).
% 8.48/2.14  tff(f61428,plain,(
% 8.48/2.14    ($true = bG516($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44797])).
% 8.48/2.14  tff(f44797,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG516(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36331])).
% 8.48/2.14  tff(f36331,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG516(X0))) & (($true = bG516(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f14743])).
% 8.48/2.14  tff(f14743,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG516(X0)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG516])])).
% 8.48/2.14  tff(f44798,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG516(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36331])).
% 8.48/2.14  tff(f61427,plain,(
% 8.48/2.14    ($true = bG517($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44795])).
% 8.48/2.14  tff(f44795,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG517(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36330])).
% 8.48/2.14  tff(f36330,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG517(X0))) & (($true = bG517(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20455])).
% 8.48/2.14  tff(f20455,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG517(X0)))),
% 8.48/2.14    inference(rectify,[],[f14744])).
% 8.48/2.14  tff(f14744,plain,(
% 8.48/2.14    ! [X1 : $o] : (($true = X1) <=> ($true = bG517(X1)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG517])])).
% 8.48/2.14  tff(f44796,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG517(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36330])).
% 8.48/2.14  tff(f44793,plain,(
% 8.48/2.14    ( ! [X5 : $tType,X8 : $tType,X6 : set(X8),X9 : fun(X8,X5),X7 : X8] : (aa(X5,X5,aa(X5,fun(X5,X5),minus_minus(X5),aa(set(X8),X5,aa(fun(X8,X5),fun(set(X8),X5),groups7311177749621191930dd_sum(X8,X5),X9),X6)),aa(X8,X5,X9,X7)) = iG518(X5,X8,X6,X7,X9) | ~member(X8,X7,X6)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26148])).
% 8.48/2.14  tff(f26148,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : set(X3),X2 : X3,X3 : $tType,X4 : fun(X3,X0)] : (aa(set(X3),X0,aa(fun(X3,X0),fun(set(X3),X0),groups7311177749621191930dd_sum(X3,X0),X4),X1) = iG518(X0,X3,X1,X2,X4) | member(X3,X2,X1)) & ! [X5 : $tType,X6 : set(X8),X7 : X8,X8 : $tType,X9 : fun(X8,X5)] : (aa(X5,X5,aa(X5,fun(X5,X5),minus_minus(X5),aa(set(X8),X5,aa(fun(X8,X5),fun(set(X8),X5),groups7311177749621191930dd_sum(X8,X5),X9),X6)),aa(X8,X5,X9,X7)) = iG518(X5,X8,X6,X7,X9) | ~member(X8,X7,X6))),
% 8.48/2.14    inference(ennf_transformation,[],[f20454])).
% 8.48/2.14  tff(f20454,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : set(X3),X2 : X3,X3 : $tType,X4 : fun(X3,X0)] : (~member(X3,X2,X1) => aa(set(X3),X0,aa(fun(X3,X0),fun(set(X3),X0),groups7311177749621191930dd_sum(X3,X0),X4),X1) = iG518(X0,X3,X1,X2,X4)) & ! [X5 : $tType,X6 : set(X8),X7 : X8,X8 : $tType,X9 : fun(X8,X5)] : (member(X8,X7,X6) => aa(X5,X5,aa(X5,fun(X5,X5),minus_minus(X5),aa(set(X8),X5,aa(fun(X8,X5),fun(set(X8),X5),groups7311177749621191930dd_sum(X8,X5),X9),X6)),aa(X8,X5,X9,X7)) = iG518(X5,X8,X6,X7,X9))),
% 8.48/2.14    inference(flattening,[],[f20453])).
% 8.48/2.14  tff(f20453,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : set(X3),X2 : X3,X3 : $tType,X4 : fun(X3,X0)] : (~member(X3,X2,X1) => aa(set(X3),X0,aa(fun(X3,X0),fun(set(X3),X0),groups7311177749621191930dd_sum(X3,X0),X4),X1) = iG518(X0,X3,X1,X2,X4)) & ! [X5 : $tType,X6 : set(X8),X7 : X8,X8 : $tType,X9 : fun(X8,X5)] : (member(X8,X7,X6) => aa(X5,X5,aa(X5,fun(X5,X5),minus_minus(X5),aa(set(X8),X5,aa(fun(X8,X5),fun(set(X8),X5),groups7311177749621191930dd_sum(X8,X5),X9),X6)),aa(X8,X5,X9,X7)) = iG518(X5,X8,X6,X7,X9))),
% 8.48/2.14    inference(rectify,[],[f14881])).
% 8.48/2.14  tff(f14881,plain,(
% 8.48/2.14    ! [X0 : $tType,X2 : set(X1),X4 : X1,X1 : $tType,X3 : fun(X1,X0)] : (~member(X1,X4,X2) => aa(set(X1),X0,aa(fun(X1,X0),fun(set(X1),X0),groups7311177749621191930dd_sum(X1,X0),X3),X2) = iG518(X0,X1,X2,X4,X3)) & ! [X0 : $tType,X2 : set(X1),X4 : X1,X1 : $tType,X3 : fun(X1,X0)] : (member(X1,X4,X2) => aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),aa(set(X1),X0,aa(fun(X1,X0),fun(set(X1),X0),groups7311177749621191930dd_sum(X1,X0),X3),X2)),aa(X1,X0,X3,X4)) = iG518(X0,X1,X2,X4,X3))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG518])])).
% 8.48/2.14  tff(f44794,plain,(
% 8.48/2.14    ( ! [X0 : $tType,X3 : $tType,X2 : X3,X1 : set(X3),X4 : fun(X3,X0)] : (aa(set(X3),X0,aa(fun(X3,X0),fun(set(X3),X0),groups7311177749621191930dd_sum(X3,X0),X4),X1) = iG518(X0,X3,X1,X2,X4) | member(X3,X2,X1)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26148])).
% 8.48/2.14  tff(f44791,plain,(
% 8.48/2.14    ( ! [X5 : $tType,X8 : $tType,X6 : set(X8),X9 : fun(X8,X5),X7 : X8] : (aa(X5,X5,aa(X5,fun(X5,X5),minus_minus(X5),groups1027152243600224163dd_sum(X8,X5,X9,X6)),aa(X8,X5,X9,X7)) = iG519(X5,X8,X6,X7,X9) | ~member(X8,X7,X6)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26147])).
% 8.48/2.14  tff(f26147,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : set(X3),X2 : X3,X3 : $tType,X4 : fun(X3,X0)] : (groups1027152243600224163dd_sum(X3,X0,X4,X1) = iG519(X0,X3,X1,X2,X4) | member(X3,X2,X1)) & ! [X5 : $tType,X6 : set(X8),X7 : X8,X8 : $tType,X9 : fun(X8,X5)] : (aa(X5,X5,aa(X5,fun(X5,X5),minus_minus(X5),groups1027152243600224163dd_sum(X8,X5,X9,X6)),aa(X8,X5,X9,X7)) = iG519(X5,X8,X6,X7,X9) | ~member(X8,X7,X6))),
% 8.48/2.14    inference(ennf_transformation,[],[f20452])).
% 8.48/2.14  tff(f20452,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : set(X3),X2 : X3,X3 : $tType,X4 : fun(X3,X0)] : (~member(X3,X2,X1) => groups1027152243600224163dd_sum(X3,X0,X4,X1) = iG519(X0,X3,X1,X2,X4)) & ! [X5 : $tType,X6 : set(X8),X7 : X8,X8 : $tType,X9 : fun(X8,X5)] : (member(X8,X7,X6) => aa(X5,X5,aa(X5,fun(X5,X5),minus_minus(X5),groups1027152243600224163dd_sum(X8,X5,X9,X6)),aa(X8,X5,X9,X7)) = iG519(X5,X8,X6,X7,X9))),
% 8.48/2.14    inference(flattening,[],[f20451])).
% 8.48/2.14  tff(f20451,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : set(X3),X2 : X3,X3 : $tType,X4 : fun(X3,X0)] : (~member(X3,X2,X1) => groups1027152243600224163dd_sum(X3,X0,X4,X1) = iG519(X0,X3,X1,X2,X4)) & ! [X5 : $tType,X6 : set(X8),X7 : X8,X8 : $tType,X9 : fun(X8,X5)] : (member(X8,X7,X6) => aa(X5,X5,aa(X5,fun(X5,X5),minus_minus(X5),groups1027152243600224163dd_sum(X8,X5,X9,X6)),aa(X8,X5,X9,X7)) = iG519(X5,X8,X6,X7,X9))),
% 8.48/2.14    inference(rectify,[],[f14886])).
% 8.48/2.14  tff(f14886,plain,(
% 8.48/2.14    ! [X0 : $tType,X2 : set(X1),X4 : X1,X1 : $tType,X3 : fun(X1,X0)] : (~member(X1,X4,X2) => groups1027152243600224163dd_sum(X1,X0,X3,X2) = iG519(X0,X1,X2,X4,X3)) & ! [X0 : $tType,X2 : set(X1),X4 : X1,X1 : $tType,X3 : fun(X1,X0)] : (member(X1,X4,X2) => aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),groups1027152243600224163dd_sum(X1,X0,X3,X2)),aa(X1,X0,X3,X4)) = iG519(X0,X1,X2,X4,X3))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG519])])).
% 8.48/2.14  tff(f44792,plain,(
% 8.48/2.14    ( ! [X0 : $tType,X3 : $tType,X2 : X3,X1 : set(X3),X4 : fun(X3,X0)] : (groups1027152243600224163dd_sum(X3,X0,X4,X1) = iG519(X0,X3,X1,X2,X4) | member(X3,X2,X1)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26147])).
% 8.48/2.14  tff(f44789,plain,(
% 8.48/2.14    ( ! [X5 : $tType,X8 : $tType,X6 : set(X8),X9 : fun(X8,X5),X7 : X8] : (aa(X5,X5,aa(X5,fun(X5,X5),minus_minus(X5),groups1027152243600224163dd_sum(X8,X5,X9,X6)),aa(X8,X5,X9,X7)) = iG520(X5,X8,X6,X7,X9) | ~member(X8,X7,X6)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26146])).
% 8.48/2.14  tff(f26146,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : set(X3),X2 : X3,X3 : $tType,X4 : fun(X3,X0)] : (groups1027152243600224163dd_sum(X3,X0,X4,X1) = iG520(X0,X3,X1,X2,X4) | member(X3,X2,X1)) & ! [X5 : $tType,X6 : set(X8),X7 : X8,X8 : $tType,X9 : fun(X8,X5)] : (aa(X5,X5,aa(X5,fun(X5,X5),minus_minus(X5),groups1027152243600224163dd_sum(X8,X5,X9,X6)),aa(X8,X5,X9,X7)) = iG520(X5,X8,X6,X7,X9) | ~member(X8,X7,X6))),
% 8.48/2.14    inference(ennf_transformation,[],[f20450])).
% 8.48/2.14  tff(f20450,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : set(X3),X2 : X3,X3 : $tType,X4 : fun(X3,X0)] : (~member(X3,X2,X1) => groups1027152243600224163dd_sum(X3,X0,X4,X1) = iG520(X0,X3,X1,X2,X4)) & ! [X5 : $tType,X6 : set(X8),X7 : X8,X8 : $tType,X9 : fun(X8,X5)] : (member(X8,X7,X6) => aa(X5,X5,aa(X5,fun(X5,X5),minus_minus(X5),groups1027152243600224163dd_sum(X8,X5,X9,X6)),aa(X8,X5,X9,X7)) = iG520(X5,X8,X6,X7,X9))),
% 8.48/2.14    inference(flattening,[],[f20449])).
% 8.48/2.14  tff(f20449,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : set(X3),X2 : X3,X3 : $tType,X4 : fun(X3,X0)] : (~member(X3,X2,X1) => groups1027152243600224163dd_sum(X3,X0,X4,X1) = iG520(X0,X3,X1,X2,X4)) & ! [X5 : $tType,X6 : set(X8),X7 : X8,X8 : $tType,X9 : fun(X8,X5)] : (member(X8,X7,X6) => aa(X5,X5,aa(X5,fun(X5,X5),minus_minus(X5),groups1027152243600224163dd_sum(X8,X5,X9,X6)),aa(X8,X5,X9,X7)) = iG520(X5,X8,X6,X7,X9))),
% 8.48/2.14    inference(rectify,[],[f14891])).
% 8.48/2.14  tff(f14891,plain,(
% 8.48/2.14    ! [X0 : $tType,X3 : set(X1),X5 : X1,X1 : $tType,X4 : fun(X1,X0)] : (~member(X1,X5,X3) => groups1027152243600224163dd_sum(X1,X0,X4,X3) = iG520(X0,X1,X3,X5,X4)) & ! [X0 : $tType,X3 : set(X1),X5 : X1,X1 : $tType,X4 : fun(X1,X0)] : (member(X1,X5,X3) => aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),groups1027152243600224163dd_sum(X1,X0,X4,X3)),aa(X1,X0,X4,X5)) = iG520(X0,X1,X3,X5,X4))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG520])])).
% 8.48/2.14  tff(f44790,plain,(
% 8.48/2.14    ( ! [X0 : $tType,X3 : $tType,X2 : X3,X1 : set(X3),X4 : fun(X3,X0)] : (groups1027152243600224163dd_sum(X3,X0,X4,X1) = iG520(X0,X3,X1,X2,X4) | member(X3,X2,X1)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26146])).
% 8.48/2.14  tff(f44787,plain,(
% 8.48/2.14    ( ! [X5 : $tType,X8 : $tType,X6 : set(X8),X9 : fun(X8,X5),X7 : X8] : (divide_divide(X5,aa(set(X8),X5,aa(fun(X8,X5),fun(set(X8),X5),groups7121269368397514597t_prod(X8,X5),X9),X6),aa(X8,X5,X9,X7)) = iG521(X5,X8,X6,X7,X9) | ~member(X8,X7,X6)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26145])).
% 8.48/2.14  tff(f26145,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : set(X3),X2 : X3,X3 : $tType,X4 : fun(X3,X0)] : (aa(set(X3),X0,aa(fun(X3,X0),fun(set(X3),X0),groups7121269368397514597t_prod(X3,X0),X4),X1) = iG521(X0,X3,X1,X2,X4) | member(X3,X2,X1)) & ! [X5 : $tType,X6 : set(X8),X7 : X8,X8 : $tType,X9 : fun(X8,X5)] : (divide_divide(X5,aa(set(X8),X5,aa(fun(X8,X5),fun(set(X8),X5),groups7121269368397514597t_prod(X8,X5),X9),X6),aa(X8,X5,X9,X7)) = iG521(X5,X8,X6,X7,X9) | ~member(X8,X7,X6))),
% 8.48/2.14    inference(ennf_transformation,[],[f20448])).
% 8.48/2.14  tff(f20448,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : set(X3),X2 : X3,X3 : $tType,X4 : fun(X3,X0)] : (~member(X3,X2,X1) => aa(set(X3),X0,aa(fun(X3,X0),fun(set(X3),X0),groups7121269368397514597t_prod(X3,X0),X4),X1) = iG521(X0,X3,X1,X2,X4)) & ! [X5 : $tType,X6 : set(X8),X7 : X8,X8 : $tType,X9 : fun(X8,X5)] : (member(X8,X7,X6) => divide_divide(X5,aa(set(X8),X5,aa(fun(X8,X5),fun(set(X8),X5),groups7121269368397514597t_prod(X8,X5),X9),X6),aa(X8,X5,X9,X7)) = iG521(X5,X8,X6,X7,X9))),
% 8.48/2.14    inference(flattening,[],[f20447])).
% 8.48/2.14  tff(f20447,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : set(X3),X2 : X3,X3 : $tType,X4 : fun(X3,X0)] : (~member(X3,X2,X1) => aa(set(X3),X0,aa(fun(X3,X0),fun(set(X3),X0),groups7121269368397514597t_prod(X3,X0),X4),X1) = iG521(X0,X3,X1,X2,X4)) & ! [X5 : $tType,X6 : set(X8),X7 : X8,X8 : $tType,X9 : fun(X8,X5)] : (member(X8,X7,X6) => divide_divide(X5,aa(set(X8),X5,aa(fun(X8,X5),fun(set(X8),X5),groups7121269368397514597t_prod(X8,X5),X9),X6),aa(X8,X5,X9,X7)) = iG521(X5,X8,X6,X7,X9))),
% 8.48/2.14    inference(rectify,[],[f14908])).
% 8.48/2.14  tff(f14908,plain,(
% 8.48/2.14    ! [X0 : $tType,X2 : set(X1),X4 : X1,X1 : $tType,X3 : fun(X1,X0)] : (~member(X1,X4,X2) => aa(set(X1),X0,aa(fun(X1,X0),fun(set(X1),X0),groups7121269368397514597t_prod(X1,X0),X3),X2) = iG521(X0,X1,X2,X4,X3)) & ! [X0 : $tType,X2 : set(X1),X4 : X1,X1 : $tType,X3 : fun(X1,X0)] : (member(X1,X4,X2) => divide_divide(X0,aa(set(X1),X0,aa(fun(X1,X0),fun(set(X1),X0),groups7121269368397514597t_prod(X1,X0),X3),X2),aa(X1,X0,X3,X4)) = iG521(X0,X1,X2,X4,X3))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG521])])).
% 8.48/2.14  tff(f44788,plain,(
% 8.48/2.14    ( ! [X0 : $tType,X3 : $tType,X2 : X3,X1 : set(X3),X4 : fun(X3,X0)] : (aa(set(X3),X0,aa(fun(X3,X0),fun(set(X3),X0),groups7121269368397514597t_prod(X3,X0),X4),X1) = iG521(X0,X3,X1,X2,X4) | member(X3,X2,X1)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26145])).
% 8.48/2.14  tff(f61426,plain,(
% 8.48/2.14    ( ! [X4 : $tType,X6 : $tType,X7 : X4] : (top_top(X4) = iG522(X4,X6,bot_bot(set(X6)),X7)) )),
% 8.48/2.14    inference(equality_resolution,[],[f44785])).
% 8.48/2.14  tff(f44785,plain,(
% 8.48/2.14    ( ! [X4 : $tType,X6 : $tType,X7 : X4,X5 : set(X6)] : (top_top(X4) = iG522(X4,X6,X5,X7) | bot_bot(set(X6)) != X5) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26144])).
% 8.48/2.14  tff(f26144,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : set(X2),X2 : $tType,X3 : X0] : (iG522(X0,X2,X1,X3) = X3 | bot_bot(set(X2)) = X1) & ! [X4 : $tType,X5 : set(X6),X6 : $tType,X7 : X4] : (top_top(X4) = iG522(X4,X6,X5,X7) | bot_bot(set(X6)) != X5)),
% 8.48/2.14    inference(ennf_transformation,[],[f20446])).
% 8.48/2.14  tff(f20446,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : set(X2),X2 : $tType,X3 : X0] : (bot_bot(set(X2)) != X1 => iG522(X0,X2,X1,X3) = X3) & ! [X4 : $tType,X5 : set(X6),X6 : $tType,X7 : X4] : (bot_bot(set(X6)) = X5 => top_top(X4) = iG522(X4,X6,X5,X7))),
% 8.48/2.14    inference(flattening,[],[f20445])).
% 8.48/2.14  tff(f20445,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : set(X2),X2 : $tType,X3 : X0] : (~bot_bot(set(X2)) = X1 => iG522(X0,X2,X1,X3) = X3) & ! [X4 : $tType,X5 : set(X6),X6 : $tType,X7 : X4] : (bot_bot(set(X6)) = X5 => top_top(X4) = iG522(X4,X6,X5,X7))),
% 8.48/2.14    inference(rectify,[],[f14933])).
% 8.48/2.14  tff(f14933,plain,(
% 8.48/2.14    ! [X1 : $tType,X3 : set(X0),X0 : $tType,X2 : X1] : (~bot_bot(set(X0)) = X3 => iG522(X1,X0,X3,X2) = X2) & ! [X1 : $tType,X3 : set(X0),X0 : $tType,X2 : X1] : (bot_bot(set(X0)) = X3 => top_top(X1) = iG522(X1,X0,X3,X2))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG522])])).
% 8.48/2.14  tff(f44786,plain,(
% 8.48/2.14    ( ! [X0 : $tType,X2 : $tType,X3 : X0,X1 : set(X2)] : (iG522(X0,X2,X1,X3) = X3 | bot_bot(set(X2)) = X1) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26144])).
% 8.48/2.14  tff(f61425,plain,(
% 8.48/2.14    ( ! [X4 : $tType,X6 : $tType,X7 : X4] : (bot_bot(X4) = iG523(X4,X6,bot_bot(set(X6)),X7)) )),
% 8.48/2.14    inference(equality_resolution,[],[f44783])).
% 8.48/2.14  tff(f44783,plain,(
% 8.48/2.14    ( ! [X4 : $tType,X6 : $tType,X7 : X4,X5 : set(X6)] : (bot_bot(X4) = iG523(X4,X6,X5,X7) | bot_bot(set(X6)) != X5) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26143])).
% 8.48/2.14  tff(f26143,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : set(X2),X2 : $tType,X3 : X0] : (iG523(X0,X2,X1,X3) = X3 | bot_bot(set(X2)) = X1) & ! [X4 : $tType,X5 : set(X6),X6 : $tType,X7 : X4] : (bot_bot(X4) = iG523(X4,X6,X5,X7) | bot_bot(set(X6)) != X5)),
% 8.48/2.14    inference(ennf_transformation,[],[f20444])).
% 8.48/2.14  tff(f20444,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : set(X2),X2 : $tType,X3 : X0] : (bot_bot(set(X2)) != X1 => iG523(X0,X2,X1,X3) = X3) & ! [X4 : $tType,X5 : set(X6),X6 : $tType,X7 : X4] : (bot_bot(set(X6)) = X5 => bot_bot(X4) = iG523(X4,X6,X5,X7))),
% 8.48/2.14    inference(flattening,[],[f20443])).
% 8.48/2.14  tff(f20443,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : set(X2),X2 : $tType,X3 : X0] : (~bot_bot(set(X2)) = X1 => iG523(X0,X2,X1,X3) = X3) & ! [X4 : $tType,X5 : set(X6),X6 : $tType,X7 : X4] : (bot_bot(set(X6)) = X5 => bot_bot(X4) = iG523(X4,X6,X5,X7))),
% 8.48/2.14    inference(rectify,[],[f14936])).
% 8.48/2.14  tff(f14936,plain,(
% 8.48/2.14    ! [X1 : $tType,X3 : set(X0),X0 : $tType,X2 : X1] : (~bot_bot(set(X0)) = X3 => iG523(X1,X0,X3,X2) = X2) & ! [X1 : $tType,X3 : set(X0),X0 : $tType,X2 : X1] : (bot_bot(set(X0)) = X3 => bot_bot(X1) = iG523(X1,X0,X3,X2))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG523])])).
% 8.48/2.14  tff(f44784,plain,(
% 8.48/2.14    ( ! [X0 : $tType,X2 : $tType,X3 : X0,X1 : set(X2)] : (iG523(X0,X2,X1,X3) = X3 | bot_bot(set(X2)) = X1) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26143])).
% 8.48/2.14  tff(f44781,plain,(
% 8.48/2.14    ( ! [X5 : $tType,X8 : $tType,X6 : set(X8),X9 : fun(X8,X5),X7 : X8] : (aa(set(X8),X5,aa(fun(X8,X5),fun(set(X8),X5),groups7311177749621191930dd_sum(X8,X5),X9),X6) = iG524(X5,X8,X6,X7,X9) | ~member(X8,X7,X6)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26142])).
% 8.48/2.14  tff(f26142,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : set(X3),X2 : X3,X3 : $tType,X4 : fun(X3,X0)] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X3,X0,X4,X2)),aa(set(X3),X0,aa(fun(X3,X0),fun(set(X3),X0),groups7311177749621191930dd_sum(X3,X0),X4),X1)) = iG524(X0,X3,X1,X2,X4) | member(X3,X2,X1)) & ! [X5 : $tType,X6 : set(X8),X7 : X8,X8 : $tType,X9 : fun(X8,X5)] : (aa(set(X8),X5,aa(fun(X8,X5),fun(set(X8),X5),groups7311177749621191930dd_sum(X8,X5),X9),X6) = iG524(X5,X8,X6,X7,X9) | ~member(X8,X7,X6))),
% 8.48/2.14    inference(ennf_transformation,[],[f20442])).
% 8.48/2.14  tff(f20442,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : set(X3),X2 : X3,X3 : $tType,X4 : fun(X3,X0)] : (~member(X3,X2,X1) => aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X3,X0,X4,X2)),aa(set(X3),X0,aa(fun(X3,X0),fun(set(X3),X0),groups7311177749621191930dd_sum(X3,X0),X4),X1)) = iG524(X0,X3,X1,X2,X4)) & ! [X5 : $tType,X6 : set(X8),X7 : X8,X8 : $tType,X9 : fun(X8,X5)] : (member(X8,X7,X6) => aa(set(X8),X5,aa(fun(X8,X5),fun(set(X8),X5),groups7311177749621191930dd_sum(X8,X5),X9),X6) = iG524(X5,X8,X6,X7,X9))),
% 8.48/2.14    inference(flattening,[],[f20441])).
% 8.48/2.14  tff(f20441,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : set(X3),X2 : X3,X3 : $tType,X4 : fun(X3,X0)] : (~member(X3,X2,X1) => aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X3,X0,X4,X2)),aa(set(X3),X0,aa(fun(X3,X0),fun(set(X3),X0),groups7311177749621191930dd_sum(X3,X0),X4),X1)) = iG524(X0,X3,X1,X2,X4)) & ! [X5 : $tType,X6 : set(X8),X7 : X8,X8 : $tType,X9 : fun(X8,X5)] : (member(X8,X7,X6) => aa(set(X8),X5,aa(fun(X8,X5),fun(set(X8),X5),groups7311177749621191930dd_sum(X8,X5),X9),X6) = iG524(X5,X8,X6,X7,X9))),
% 8.48/2.14    inference(rectify,[],[f14995])).
% 8.48/2.14  tff(f14995,plain,(
% 8.48/2.14    ! [X0 : $tType,X2 : set(X1),X4 : X1,X1 : $tType,X3 : fun(X1,X0)] : (~member(X1,X4,X2) => aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X1,X0,X3,X4)),aa(set(X1),X0,aa(fun(X1,X0),fun(set(X1),X0),groups7311177749621191930dd_sum(X1,X0),X3),X2)) = iG524(X0,X1,X2,X4,X3)) & ! [X0 : $tType,X2 : set(X1),X4 : X1,X1 : $tType,X3 : fun(X1,X0)] : (member(X1,X4,X2) => aa(set(X1),X0,aa(fun(X1,X0),fun(set(X1),X0),groups7311177749621191930dd_sum(X1,X0),X3),X2) = iG524(X0,X1,X2,X4,X3))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG524])])).
% 8.48/2.14  tff(f44782,plain,(
% 8.48/2.14    ( ! [X0 : $tType,X3 : $tType,X2 : X3,X1 : set(X3),X4 : fun(X3,X0)] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X3,X0,X4,X2)),aa(set(X3),X0,aa(fun(X3,X0),fun(set(X3),X0),groups7311177749621191930dd_sum(X3,X0),X4),X1)) = iG524(X0,X3,X1,X2,X4) | member(X3,X2,X1)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26142])).
% 8.48/2.14  tff(f44779,plain,(
% 8.48/2.14    ( ! [X5 : $tType,X8 : $tType,X6 : set(X8),X9 : fun(X8,X5),X7 : X8] : (groups1027152243600224163dd_sum(X8,X5,X9,X6) = iG525(X5,X8,X6,X7,X9) | ~member(X8,X7,X6)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26141])).
% 8.48/2.14  tff(f26141,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : set(X3),X2 : X3,X3 : $tType,X4 : fun(X3,X0)] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X3,X0,X4,X2)),groups1027152243600224163dd_sum(X3,X0,X4,X1)) = iG525(X0,X3,X1,X2,X4) | member(X3,X2,X1)) & ! [X5 : $tType,X6 : set(X8),X7 : X8,X8 : $tType,X9 : fun(X8,X5)] : (groups1027152243600224163dd_sum(X8,X5,X9,X6) = iG525(X5,X8,X6,X7,X9) | ~member(X8,X7,X6))),
% 8.48/2.14    inference(ennf_transformation,[],[f20440])).
% 8.48/2.14  tff(f20440,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : set(X3),X2 : X3,X3 : $tType,X4 : fun(X3,X0)] : (~member(X3,X2,X1) => aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X3,X0,X4,X2)),groups1027152243600224163dd_sum(X3,X0,X4,X1)) = iG525(X0,X3,X1,X2,X4)) & ! [X5 : $tType,X6 : set(X8),X7 : X8,X8 : $tType,X9 : fun(X8,X5)] : (member(X8,X7,X6) => groups1027152243600224163dd_sum(X8,X5,X9,X6) = iG525(X5,X8,X6,X7,X9))),
% 8.48/2.14    inference(flattening,[],[f20439])).
% 8.48/2.14  tff(f20439,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : set(X3),X2 : X3,X3 : $tType,X4 : fun(X3,X0)] : (~member(X3,X2,X1) => aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X3,X0,X4,X2)),groups1027152243600224163dd_sum(X3,X0,X4,X1)) = iG525(X0,X3,X1,X2,X4)) & ! [X5 : $tType,X6 : set(X8),X7 : X8,X8 : $tType,X9 : fun(X8,X5)] : (member(X8,X7,X6) => groups1027152243600224163dd_sum(X8,X5,X9,X6) = iG525(X5,X8,X6,X7,X9))),
% 8.48/2.14    inference(rectify,[],[f15002])).
% 8.48/2.14  tff(f15002,plain,(
% 8.48/2.14    ! [X0 : $tType,X2 : set(X1),X4 : X1,X1 : $tType,X3 : fun(X1,X0)] : (~member(X1,X4,X2) => aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X1,X0,X3,X4)),groups1027152243600224163dd_sum(X1,X0,X3,X2)) = iG525(X0,X1,X2,X4,X3)) & ! [X0 : $tType,X2 : set(X1),X4 : X1,X1 : $tType,X3 : fun(X1,X0)] : (member(X1,X4,X2) => groups1027152243600224163dd_sum(X1,X0,X3,X2) = iG525(X0,X1,X2,X4,X3))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG525])])).
% 8.48/2.14  tff(f44780,plain,(
% 8.48/2.14    ( ! [X0 : $tType,X3 : $tType,X2 : X3,X1 : set(X3),X4 : fun(X3,X0)] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X3,X0,X4,X2)),groups1027152243600224163dd_sum(X3,X0,X4,X1)) = iG525(X0,X3,X1,X2,X4) | member(X3,X2,X1)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26141])).
% 8.48/2.14  tff(f61424,plain,(
% 8.48/2.14    ( ! [X9 : $tType,X6 : $tType,X10 : fun(X9,X6),X11 : fun(X9,X6),X8 : X9] : (aa(X9,X6,X11,X8) = iG526(X6,X9,X8,X8,X10,X11)) )),
% 8.48/2.14    inference(equality_resolution,[],[f44777])).
% 8.48/2.14  tff(f44777,plain,(
% 8.48/2.14    ( ! [X9 : $tType,X6 : $tType,X10 : fun(X9,X6),X11 : fun(X9,X6),X8 : X9,X7 : X9] : (aa(X9,X6,X11,X7) = iG526(X6,X9,X7,X8,X10,X11) | X7 != X8) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26140])).
% 8.48/2.14  tff(f26140,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : X3,X2 : X3,X3 : $tType,X4 : fun(X3,X0),X5 : fun(X3,X0)] : (aa(X3,X0,X4,X1) = iG526(X0,X3,X1,X2,X4,X5) | X1 = X2) & ! [X6 : $tType,X7 : X9,X8 : X9,X9 : $tType,X10 : fun(X9,X6),X11 : fun(X9,X6)] : (aa(X9,X6,X11,X7) = iG526(X6,X9,X7,X8,X10,X11) | X7 != X8)),
% 8.48/2.14    inference(ennf_transformation,[],[f20438])).
% 8.48/2.14  tff(f20438,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : X3,X2 : X3,X3 : $tType,X4 : fun(X3,X0),X5 : fun(X3,X0)] : (X1 != X2 => aa(X3,X0,X4,X1) = iG526(X0,X3,X1,X2,X4,X5)) & ! [X6 : $tType,X7 : X9,X8 : X9,X9 : $tType,X10 : fun(X9,X6),X11 : fun(X9,X6)] : (X7 = X8 => aa(X9,X6,X11,X7) = iG526(X6,X9,X7,X8,X10,X11))),
% 8.48/2.14    inference(flattening,[],[f20437])).
% 8.48/2.14  tff(f20437,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : X3,X2 : X3,X3 : $tType,X4 : fun(X3,X0),X5 : fun(X3,X0)] : (~X1 = X2 => aa(X3,X0,X4,X1) = iG526(X0,X3,X1,X2,X4,X5)) & ! [X6 : $tType,X7 : X9,X8 : X9,X9 : $tType,X10 : fun(X9,X6),X11 : fun(X9,X6)] : (X7 = X8 => aa(X9,X6,X11,X7) = iG526(X6,X9,X7,X8,X10,X11))),
% 8.48/2.14    inference(rectify,[],[f15013])).
% 8.48/2.14  tff(f15013,plain,(
% 8.48/2.14    ! [X0 : $tType,X5 : X1,X2 : X1,X1 : $tType,X4 : fun(X1,X0),X3 : fun(X1,X0)] : (~X2 = X5 => aa(X1,X0,X4,X5) = iG526(X0,X1,X5,X2,X4,X3)) & ! [X0 : $tType,X5 : X1,X2 : X1,X1 : $tType,X4 : fun(X1,X0),X3 : fun(X1,X0)] : (X2 = X5 => aa(X1,X0,X3,X5) = iG526(X0,X1,X5,X2,X4,X3))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG526])])).
% 8.48/2.14  tff(f44778,plain,(
% 8.48/2.14    ( ! [X0 : $tType,X3 : $tType,X2 : X3,X1 : X3,X4 : fun(X3,X0),X5 : fun(X3,X0)] : (aa(X3,X0,X4,X1) = iG526(X0,X3,X1,X2,X4,X5) | X1 = X2) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26140])).
% 8.48/2.14  tff(f44775,plain,(
% 8.48/2.14    ( ! [X9 : $tType,X6 : $tType,X10 : fun(X9,X6),X11 : fun(X9,X6),X8 : fun(X9,$o),X7 : X9] : (aa(X9,X6,X11,X7) = iG527(X6,X9,X7,X8,X10,X11) | ($true != aa(X9,$o,X8,X7))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26139])).
% 8.48/2.14  tff(f26139,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : X3,X2 : fun(X3,$o),X3 : $tType,X4 : fun(X3,X0),X5 : fun(X3,X0)] : (aa(X3,X0,X4,X1) = iG527(X0,X3,X1,X2,X4,X5) | ($true = aa(X3,$o,X2,X1))) & ! [X6 : $tType,X7 : X9,X8 : fun(X9,$o),X9 : $tType,X10 : fun(X9,X6),X11 : fun(X9,X6)] : (aa(X9,X6,X11,X7) = iG527(X6,X9,X7,X8,X10,X11) | ($true != aa(X9,$o,X8,X7)))),
% 8.48/2.14    inference(ennf_transformation,[],[f20436])).
% 8.48/2.14  tff(f20436,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : X3,X2 : fun(X3,$o),X3 : $tType,X4 : fun(X3,X0),X5 : fun(X3,X0)] : (($true != aa(X3,$o,X2,X1)) => aa(X3,X0,X4,X1) = iG527(X0,X3,X1,X2,X4,X5)) & ! [X6 : $tType,X7 : X9,X8 : fun(X9,$o),X9 : $tType,X10 : fun(X9,X6),X11 : fun(X9,X6)] : (($true = aa(X9,$o,X8,X7)) => aa(X9,X6,X11,X7) = iG527(X6,X9,X7,X8,X10,X11))),
% 8.48/2.14    inference(flattening,[],[f20435])).
% 8.48/2.14  tff(f20435,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : X3,X2 : fun(X3,$o),X3 : $tType,X4 : fun(X3,X0),X5 : fun(X3,X0)] : (~($true = aa(X3,$o,X2,X1)) => aa(X3,X0,X4,X1) = iG527(X0,X3,X1,X2,X4,X5)) & ! [X6 : $tType,X7 : X9,X8 : fun(X9,$o),X9 : $tType,X10 : fun(X9,X6),X11 : fun(X9,X6)] : (($true = aa(X9,$o,X8,X7)) => aa(X9,X6,X11,X7) = iG527(X6,X9,X7,X8,X10,X11))),
% 8.48/2.14    inference(rectify,[],[f15016])).
% 8.48/2.14  tff(f15016,plain,(
% 8.48/2.14    ! [X0 : $tType,X5 : X1,X2 : fun(X1,$o),X1 : $tType,X4 : fun(X1,X0),X3 : fun(X1,X0)] : (~($true = aa(X1,$o,X2,X5)) => aa(X1,X0,X4,X5) = iG527(X0,X1,X5,X2,X4,X3)) & ! [X0 : $tType,X5 : X1,X2 : fun(X1,$o),X1 : $tType,X4 : fun(X1,X0),X3 : fun(X1,X0)] : (($true = aa(X1,$o,X2,X5)) => aa(X1,X0,X3,X5) = iG527(X0,X1,X5,X2,X4,X3))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG527])])).
% 8.48/2.14  tff(f44776,plain,(
% 8.48/2.14    ( ! [X0 : $tType,X3 : $tType,X2 : fun(X3,$o),X1 : X3,X4 : fun(X3,X0),X5 : fun(X3,X0)] : (aa(X3,X0,X4,X1) = iG527(X0,X3,X1,X2,X4,X5) | ($true = aa(X3,$o,X2,X1))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26139])).
% 8.48/2.14  tff(f44773,plain,(
% 8.48/2.14    ( ! [X9 : $tType,X6 : $tType,X10 : fun(X9,X6),X11 : fun(X9,X6),X8 : X9,X7 : set(X9)] : (aa(X6,X6,aa(X6,fun(X6,X6),plus_plus(X6),aa(X9,X6,X11,X8)),aa(set(X9),X6,aa(fun(X9,X6),fun(set(X9),X6),groups7311177749621191930dd_sum(X9,X6),X10),aa(set(X9),set(X9),aa(set(X9),fun(set(X9),set(X9)),minus_minus(set(X9)),X7),aa(set(X9),set(X9),insert(X9,X8),bot_bot(set(X9)))))) = iG528(X6,X9,X7,X8,X10,X11) | ~member(X9,X8,X7)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26138])).
% 8.48/2.14  tff(f26138,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : set(X3),X2 : X3,X3 : $tType,X4 : fun(X3,X0),X5 : fun(X3,X0)] : (aa(set(X3),X0,aa(fun(X3,X0),fun(set(X3),X0),groups7311177749621191930dd_sum(X3,X0),X4),aa(set(X3),set(X3),aa(set(X3),fun(set(X3),set(X3)),minus_minus(set(X3)),X1),aa(set(X3),set(X3),insert(X3,X2),bot_bot(set(X3))))) = iG528(X0,X3,X1,X2,X4,X5) | member(X3,X2,X1)) & ! [X6 : $tType,X7 : set(X9),X8 : X9,X9 : $tType,X10 : fun(X9,X6),X11 : fun(X9,X6)] : (aa(X6,X6,aa(X6,fun(X6,X6),plus_plus(X6),aa(X9,X6,X11,X8)),aa(set(X9),X6,aa(fun(X9,X6),fun(set(X9),X6),groups7311177749621191930dd_sum(X9,X6),X10),aa(set(X9),set(X9),aa(set(X9),fun(set(X9),set(X9)),minus_minus(set(X9)),X7),aa(set(X9),set(X9),insert(X9,X8),bot_bot(set(X9)))))) = iG528(X6,X9,X7,X8,X10,X11) | ~member(X9,X8,X7))),
% 8.48/2.14    inference(ennf_transformation,[],[f20434])).
% 8.48/2.14  tff(f20434,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : set(X3),X2 : X3,X3 : $tType,X4 : fun(X3,X0),X5 : fun(X3,X0)] : (~member(X3,X2,X1) => aa(set(X3),X0,aa(fun(X3,X0),fun(set(X3),X0),groups7311177749621191930dd_sum(X3,X0),X4),aa(set(X3),set(X3),aa(set(X3),fun(set(X3),set(X3)),minus_minus(set(X3)),X1),aa(set(X3),set(X3),insert(X3,X2),bot_bot(set(X3))))) = iG528(X0,X3,X1,X2,X4,X5)) & ! [X6 : $tType,X7 : set(X9),X8 : X9,X9 : $tType,X10 : fun(X9,X6),X11 : fun(X9,X6)] : (member(X9,X8,X7) => aa(X6,X6,aa(X6,fun(X6,X6),plus_plus(X6),aa(X9,X6,X11,X8)),aa(set(X9),X6,aa(fun(X9,X6),fun(set(X9),X6),groups7311177749621191930dd_sum(X9,X6),X10),aa(set(X9),set(X9),aa(set(X9),fun(set(X9),set(X9)),minus_minus(set(X9)),X7),aa(set(X9),set(X9),insert(X9,X8),bot_bot(set(X9)))))) = iG528(X6,X9,X7,X8,X10,X11))),
% 8.48/2.14    inference(flattening,[],[f20433])).
% 8.48/2.14  tff(f20433,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : set(X3),X2 : X3,X3 : $tType,X4 : fun(X3,X0),X5 : fun(X3,X0)] : (~member(X3,X2,X1) => aa(set(X3),X0,aa(fun(X3,X0),fun(set(X3),X0),groups7311177749621191930dd_sum(X3,X0),X4),aa(set(X3),set(X3),aa(set(X3),fun(set(X3),set(X3)),minus_minus(set(X3)),X1),aa(set(X3),set(X3),insert(X3,X2),bot_bot(set(X3))))) = iG528(X0,X3,X1,X2,X4,X5)) & ! [X6 : $tType,X7 : set(X9),X8 : X9,X9 : $tType,X10 : fun(X9,X6),X11 : fun(X9,X6)] : (member(X9,X8,X7) => aa(X6,X6,aa(X6,fun(X6,X6),plus_plus(X6),aa(X9,X6,X11,X8)),aa(set(X9),X6,aa(fun(X9,X6),fun(set(X9),X6),groups7311177749621191930dd_sum(X9,X6),X10),aa(set(X9),set(X9),aa(set(X9),fun(set(X9),set(X9)),minus_minus(set(X9)),X7),aa(set(X9),set(X9),insert(X9,X8),bot_bot(set(X9)))))) = iG528(X6,X9,X7,X8,X10,X11))),
% 8.48/2.14    inference(rectify,[],[f15019])).
% 8.48/2.14  tff(f15019,plain,(
% 8.48/2.14    ! [X0 : $tType,X2 : set(X1),X3 : X1,X1 : $tType,X5 : fun(X1,X0),X4 : fun(X1,X0)] : (~member(X1,X3,X2) => aa(set(X1),X0,aa(fun(X1,X0),fun(set(X1),X0),groups7311177749621191930dd_sum(X1,X0),X5),aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),minus_minus(set(X1)),X2),aa(set(X1),set(X1),insert(X1,X3),bot_bot(set(X1))))) = iG528(X0,X1,X2,X3,X5,X4)) & ! [X0 : $tType,X2 : set(X1),X3 : X1,X1 : $tType,X5 : fun(X1,X0),X4 : fun(X1,X0)] : (member(X1,X3,X2) => aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X1,X0,X4,X3)),aa(set(X1),X0,aa(fun(X1,X0),fun(set(X1),X0),groups7311177749621191930dd_sum(X1,X0),X5),aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),minus_minus(set(X1)),X2),aa(set(X1),set(X1),insert(X1,X3),bot_bot(set(X1)))))) = iG528(X0,X1,X2,X3,X5,X4))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG528])])).
% 8.48/2.14  tff(f44774,plain,(
% 8.48/2.14    ( ! [X0 : $tType,X3 : $tType,X2 : X3,X1 : set(X3),X4 : fun(X3,X0),X5 : fun(X3,X0)] : (aa(set(X3),X0,aa(fun(X3,X0),fun(set(X3),X0),groups7311177749621191930dd_sum(X3,X0),X4),aa(set(X3),set(X3),aa(set(X3),fun(set(X3),set(X3)),minus_minus(set(X3)),X1),aa(set(X3),set(X3),insert(X3,X2),bot_bot(set(X3))))) = iG528(X0,X3,X1,X2,X4,X5) | member(X3,X2,X1)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26138])).
% 8.48/2.14  tff(f44771,plain,(
% 8.48/2.14    ( ! [X4 : $tType,X7 : $tType,X6 : fun(X7,X4),X5 : set(X7)] : (aa(set(X7),X4,aa(fun(X7,X4),fun(set(X7),X4),groups7121269368397514597t_prod(X7,X4),X6),aa(fun(X7,$o),set(X7),collect(X7),aa(set(X7),fun(X7,$o),aTP_Lamp_nm(fun(X7,X4),fun(set(X7),fun(X7,$o)),X6),X5))) = iG529(X4,X7,X5,X6) | ~finite_finite(X7,aa(fun(X7,$o),set(X7),collect(X7),aa(set(X7),fun(X7,$o),aTP_Lamp_nm(fun(X7,X4),fun(set(X7),fun(X7,$o)),X6),X5)))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26137])).
% 8.48/2.14  tff(f26137,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : set(X3),X2 : fun(X3,X0),X3 : $tType] : (one_one(X0) = iG529(X0,X3,X1,X2) | finite_finite(X3,aa(fun(X3,$o),set(X3),collect(X3),aa(set(X3),fun(X3,$o),aTP_Lamp_nm(fun(X3,X0),fun(set(X3),fun(X3,$o)),X2),X1)))) & ! [X4 : $tType,X5 : set(X7),X6 : fun(X7,X4),X7 : $tType] : (aa(set(X7),X4,aa(fun(X7,X4),fun(set(X7),X4),groups7121269368397514597t_prod(X7,X4),X6),aa(fun(X7,$o),set(X7),collect(X7),aa(set(X7),fun(X7,$o),aTP_Lamp_nm(fun(X7,X4),fun(set(X7),fun(X7,$o)),X6),X5))) = iG529(X4,X7,X5,X6) | ~finite_finite(X7,aa(fun(X7,$o),set(X7),collect(X7),aa(set(X7),fun(X7,$o),aTP_Lamp_nm(fun(X7,X4),fun(set(X7),fun(X7,$o)),X6),X5))))),
% 8.48/2.14    inference(ennf_transformation,[],[f20432])).
% 8.48/2.14  tff(f20432,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : set(X3),X2 : fun(X3,X0),X3 : $tType] : (~finite_finite(X3,aa(fun(X3,$o),set(X3),collect(X3),aa(set(X3),fun(X3,$o),aTP_Lamp_nm(fun(X3,X0),fun(set(X3),fun(X3,$o)),X2),X1))) => one_one(X0) = iG529(X0,X3,X1,X2)) & ! [X4 : $tType,X5 : set(X7),X6 : fun(X7,X4),X7 : $tType] : (finite_finite(X7,aa(fun(X7,$o),set(X7),collect(X7),aa(set(X7),fun(X7,$o),aTP_Lamp_nm(fun(X7,X4),fun(set(X7),fun(X7,$o)),X6),X5))) => aa(set(X7),X4,aa(fun(X7,X4),fun(set(X7),X4),groups7121269368397514597t_prod(X7,X4),X6),aa(fun(X7,$o),set(X7),collect(X7),aa(set(X7),fun(X7,$o),aTP_Lamp_nm(fun(X7,X4),fun(set(X7),fun(X7,$o)),X6),X5))) = iG529(X4,X7,X5,X6))),
% 8.48/2.14    inference(flattening,[],[f20431])).
% 8.48/2.14  tff(f20431,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : set(X3),X2 : fun(X3,X0),X3 : $tType] : (~finite_finite(X3,aa(fun(X3,$o),set(X3),collect(X3),aa(set(X3),fun(X3,$o),aTP_Lamp_nm(fun(X3,X0),fun(set(X3),fun(X3,$o)),X2),X1))) => one_one(X0) = iG529(X0,X3,X1,X2)) & ! [X4 : $tType,X5 : set(X7),X6 : fun(X7,X4),X7 : $tType] : (finite_finite(X7,aa(fun(X7,$o),set(X7),collect(X7),aa(set(X7),fun(X7,$o),aTP_Lamp_nm(fun(X7,X4),fun(set(X7),fun(X7,$o)),X6),X5))) => aa(set(X7),X4,aa(fun(X7,X4),fun(set(X7),X4),groups7121269368397514597t_prod(X7,X4),X6),aa(fun(X7,$o),set(X7),collect(X7),aa(set(X7),fun(X7,$o),aTP_Lamp_nm(fun(X7,X4),fun(set(X7),fun(X7,$o)),X6),X5))) = iG529(X4,X7,X5,X6))),
% 8.48/2.14    inference(rectify,[],[f15038])).
% 8.48/2.14  tff(f15038,plain,(
% 8.48/2.14    ! [X1 : $tType,X3 : set(X0),X2 : fun(X0,X1),X0 : $tType] : (~finite_finite(X0,aa(fun(X0,$o),set(X0),collect(X0),aa(set(X0),fun(X0,$o),aTP_Lamp_nm(fun(X0,X1),fun(set(X0),fun(X0,$o)),X2),X3))) => one_one(X1) = iG529(X1,X0,X3,X2)) & ! [X1 : $tType,X3 : set(X0),X2 : fun(X0,X1),X0 : $tType] : (finite_finite(X0,aa(fun(X0,$o),set(X0),collect(X0),aa(set(X0),fun(X0,$o),aTP_Lamp_nm(fun(X0,X1),fun(set(X0),fun(X0,$o)),X2),X3))) => aa(set(X0),X1,aa(fun(X0,X1),fun(set(X0),X1),groups7121269368397514597t_prod(X0,X1),X2),aa(fun(X0,$o),set(X0),collect(X0),aa(set(X0),fun(X0,$o),aTP_Lamp_nm(fun(X0,X1),fun(set(X0),fun(X0,$o)),X2),X3))) = iG529(X1,X0,X3,X2))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG529])])).
% 8.48/2.14  tff(f44772,plain,(
% 8.48/2.14    ( ! [X0 : $tType,X3 : $tType,X2 : fun(X3,X0),X1 : set(X3)] : (one_one(X0) = iG529(X0,X3,X1,X2) | finite_finite(X3,aa(fun(X3,$o),set(X3),collect(X3),aa(set(X3),fun(X3,$o),aTP_Lamp_nm(fun(X3,X0),fun(set(X3),fun(X3,$o)),X2),X1)))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26137])).
% 8.48/2.14  tff(f44769,plain,(
% 8.48/2.14    ( ! [X5 : $tType,X8 : $tType,X6 : set(X8),X9 : fun(X8,X5),X7 : X8] : (aa(X8,X5,X9,X7) = iG530(X5,X8,X6,X7,X9) | ~member(X8,X7,X6)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26136])).
% 8.48/2.14  tff(f26136,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : set(X3),X2 : X3,X3 : $tType,X4 : fun(X3,X0)] : (one_one(X0) = iG530(X0,X3,X1,X2,X4) | member(X3,X2,X1)) & ! [X5 : $tType,X6 : set(X8),X7 : X8,X8 : $tType,X9 : fun(X8,X5)] : (aa(X8,X5,X9,X7) = iG530(X5,X8,X6,X7,X9) | ~member(X8,X7,X6))),
% 8.48/2.14    inference(ennf_transformation,[],[f20430])).
% 8.48/2.14  tff(f20430,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : set(X3),X2 : X3,X3 : $tType,X4 : fun(X3,X0)] : (~member(X3,X2,X1) => one_one(X0) = iG530(X0,X3,X1,X2,X4)) & ! [X5 : $tType,X6 : set(X8),X7 : X8,X8 : $tType,X9 : fun(X8,X5)] : (member(X8,X7,X6) => aa(X8,X5,X9,X7) = iG530(X5,X8,X6,X7,X9))),
% 8.48/2.14    inference(flattening,[],[f20429])).
% 8.48/2.14  tff(f20429,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : set(X3),X2 : X3,X3 : $tType,X4 : fun(X3,X0)] : (~member(X3,X2,X1) => one_one(X0) = iG530(X0,X3,X1,X2,X4)) & ! [X5 : $tType,X6 : set(X8),X7 : X8,X8 : $tType,X9 : fun(X8,X5)] : (member(X8,X7,X6) => aa(X8,X5,X9,X7) = iG530(X5,X8,X6,X7,X9))),
% 8.48/2.14    inference(rectify,[],[f15043])).
% 8.48/2.14  tff(f15043,plain,(
% 8.48/2.14    ! [X1 : $tType,X3 : set(X0),X4 : X0,X0 : $tType,X2 : fun(X0,X1)] : (~member(X0,X4,X3) => one_one(X1) = iG530(X1,X0,X3,X4,X2)) & ! [X1 : $tType,X3 : set(X0),X4 : X0,X0 : $tType,X2 : fun(X0,X1)] : (member(X0,X4,X3) => aa(X0,X1,X2,X4) = iG530(X1,X0,X3,X4,X2))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG530])])).
% 8.48/2.14  tff(f44770,plain,(
% 8.48/2.14    ( ! [X0 : $tType,X3 : $tType,X2 : X3,X1 : set(X3),X4 : fun(X3,X0)] : (one_one(X0) = iG530(X0,X3,X1,X2,X4) | member(X3,X2,X1)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26136])).
% 8.48/2.14  tff(f61423,plain,(
% 8.48/2.14    ( ! [X5 : $tType,X8 : $tType,X9 : fun(X8,X5),X7 : X8] : (aa(X8,X5,X9,X7) = iG531(X5,X8,X7,X7,X9)) )),
% 8.48/2.14    inference(equality_resolution,[],[f44767])).
% 8.48/2.14  tff(f44767,plain,(
% 8.48/2.14    ( ! [X5 : $tType,X8 : $tType,X6 : X8,X9 : fun(X8,X5),X7 : X8] : (aa(X8,X5,X9,X6) = iG531(X5,X8,X6,X7,X9) | X6 != X7) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26135])).
% 8.48/2.14  tff(f26135,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : X3,X2 : X3,X3 : $tType,X4 : fun(X3,X0)] : (one_one(X0) = iG531(X0,X3,X1,X2,X4) | X1 = X2) & ! [X5 : $tType,X6 : X8,X7 : X8,X8 : $tType,X9 : fun(X8,X5)] : (aa(X8,X5,X9,X6) = iG531(X5,X8,X6,X7,X9) | X6 != X7)),
% 8.48/2.14    inference(ennf_transformation,[],[f20428])).
% 8.48/2.14  tff(f20428,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : X3,X2 : X3,X3 : $tType,X4 : fun(X3,X0)] : (X1 != X2 => one_one(X0) = iG531(X0,X3,X1,X2,X4)) & ! [X5 : $tType,X6 : X8,X7 : X8,X8 : $tType,X9 : fun(X8,X5)] : (X6 = X7 => aa(X8,X5,X9,X6) = iG531(X5,X8,X6,X7,X9))),
% 8.48/2.14    inference(flattening,[],[f20427])).
% 8.48/2.14  tff(f20427,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : X3,X2 : X3,X3 : $tType,X4 : fun(X3,X0)] : (~X1 = X2 => one_one(X0) = iG531(X0,X3,X1,X2,X4)) & ! [X5 : $tType,X6 : X8,X7 : X8,X8 : $tType,X9 : fun(X8,X5)] : (X6 = X7 => aa(X8,X5,X9,X6) = iG531(X5,X8,X6,X7,X9))),
% 8.48/2.14    inference(rectify,[],[f15046])).
% 8.48/2.14  tff(f15046,plain,(
% 8.48/2.14    ! [X1 : $tType,X4 : X0,X2 : X0,X0 : $tType,X3 : fun(X0,X1)] : (~X2 = X4 => one_one(X1) = iG531(X1,X0,X4,X2,X3)) & ! [X1 : $tType,X4 : X0,X2 : X0,X0 : $tType,X3 : fun(X0,X1)] : (X2 = X4 => aa(X0,X1,X3,X4) = iG531(X1,X0,X4,X2,X3))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG531])])).
% 8.48/2.14  tff(f44768,plain,(
% 8.48/2.14    ( ! [X0 : $tType,X3 : $tType,X2 : X3,X1 : X3,X4 : fun(X3,X0)] : (one_one(X0) = iG531(X0,X3,X1,X2,X4) | X1 = X2) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26135])).
% 8.48/2.14  tff(f61422,plain,(
% 8.48/2.14    ( ! [X5 : $tType,X8 : $tType,X9 : fun(X8,X5),X7 : X8] : (aa(X8,X5,X9,X7) = iG532(X5,X8,X7,X7,X9)) )),
% 8.48/2.14    inference(equality_resolution,[],[f44765])).
% 8.48/2.14  tff(f44765,plain,(
% 8.48/2.14    ( ! [X5 : $tType,X8 : $tType,X6 : X8,X9 : fun(X8,X5),X7 : X8] : (aa(X8,X5,X9,X6) = iG532(X5,X8,X6,X7,X9) | X6 != X7) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26134])).
% 8.48/2.14  tff(f26134,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : X3,X2 : X3,X3 : $tType,X4 : fun(X3,X0)] : (one_one(X0) = iG532(X0,X3,X1,X2,X4) | X1 = X2) & ! [X5 : $tType,X6 : X8,X7 : X8,X8 : $tType,X9 : fun(X8,X5)] : (aa(X8,X5,X9,X6) = iG532(X5,X8,X6,X7,X9) | X6 != X7)),
% 8.48/2.14    inference(ennf_transformation,[],[f20426])).
% 8.48/2.14  tff(f20426,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : X3,X2 : X3,X3 : $tType,X4 : fun(X3,X0)] : (X1 != X2 => one_one(X0) = iG532(X0,X3,X1,X2,X4)) & ! [X5 : $tType,X6 : X8,X7 : X8,X8 : $tType,X9 : fun(X8,X5)] : (X6 = X7 => aa(X8,X5,X9,X6) = iG532(X5,X8,X6,X7,X9))),
% 8.48/2.14    inference(flattening,[],[f20425])).
% 8.48/2.14  tff(f20425,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : X3,X2 : X3,X3 : $tType,X4 : fun(X3,X0)] : (~X1 = X2 => one_one(X0) = iG532(X0,X3,X1,X2,X4)) & ! [X5 : $tType,X6 : X8,X7 : X8,X8 : $tType,X9 : fun(X8,X5)] : (X6 = X7 => aa(X8,X5,X9,X6) = iG532(X5,X8,X6,X7,X9))),
% 8.48/2.14    inference(rectify,[],[f15049])).
% 8.48/2.14  tff(f15049,plain,(
% 8.48/2.14    ! [X1 : $tType,X4 : X0,X2 : X0,X0 : $tType,X3 : fun(X0,X1)] : (~X2 = X4 => one_one(X1) = iG532(X1,X0,X4,X2,X3)) & ! [X1 : $tType,X4 : X0,X2 : X0,X0 : $tType,X3 : fun(X0,X1)] : (X2 = X4 => aa(X0,X1,X3,X4) = iG532(X1,X0,X4,X2,X3))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG532])])).
% 8.48/2.14  tff(f44766,plain,(
% 8.48/2.14    ( ! [X0 : $tType,X3 : $tType,X2 : X3,X1 : X3,X4 : fun(X3,X0)] : (one_one(X0) = iG532(X0,X3,X1,X2,X4) | X1 = X2) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26134])).
% 8.48/2.14  tff(f44763,plain,(
% 8.48/2.14    ( ! [X5 : $tType,X8 : $tType,X6 : X8,X9 : fun(X8,X5),X7 : fun(X8,$o)] : (aa(X8,X5,X9,X6) = iG533(X5,X8,X6,X7,X9) | ($true != aa(X8,$o,X7,X6))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26133])).
% 8.48/2.14  tff(f26133,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : X3,X2 : fun(X3,$o),X3 : $tType,X4 : fun(X3,X0)] : (one_one(X0) = iG533(X0,X3,X1,X2,X4) | ($true = aa(X3,$o,X2,X1))) & ! [X5 : $tType,X6 : X8,X7 : fun(X8,$o),X8 : $tType,X9 : fun(X8,X5)] : (aa(X8,X5,X9,X6) = iG533(X5,X8,X6,X7,X9) | ($true != aa(X8,$o,X7,X6)))),
% 8.48/2.14    inference(ennf_transformation,[],[f20424])).
% 8.48/2.14  tff(f20424,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : X3,X2 : fun(X3,$o),X3 : $tType,X4 : fun(X3,X0)] : (($true != aa(X3,$o,X2,X1)) => one_one(X0) = iG533(X0,X3,X1,X2,X4)) & ! [X5 : $tType,X6 : X8,X7 : fun(X8,$o),X8 : $tType,X9 : fun(X8,X5)] : (($true = aa(X8,$o,X7,X6)) => aa(X8,X5,X9,X6) = iG533(X5,X8,X6,X7,X9))),
% 8.48/2.14    inference(flattening,[],[f20423])).
% 8.48/2.14  tff(f20423,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : X3,X2 : fun(X3,$o),X3 : $tType,X4 : fun(X3,X0)] : (~($true = aa(X3,$o,X2,X1)) => one_one(X0) = iG533(X0,X3,X1,X2,X4)) & ! [X5 : $tType,X6 : X8,X7 : fun(X8,$o),X8 : $tType,X9 : fun(X8,X5)] : (($true = aa(X8,$o,X7,X6)) => aa(X8,X5,X9,X6) = iG533(X5,X8,X6,X7,X9))),
% 8.48/2.14    inference(rectify,[],[f15052])).
% 8.48/2.14  tff(f15052,plain,(
% 8.48/2.14    ! [X1 : $tType,X4 : X0,X3 : fun(X0,$o),X0 : $tType,X2 : fun(X0,X1)] : (~($true = aa(X0,$o,X3,X4)) => one_one(X1) = iG533(X1,X0,X4,X3,X2)) & ! [X1 : $tType,X4 : X0,X3 : fun(X0,$o),X0 : $tType,X2 : fun(X0,X1)] : (($true = aa(X0,$o,X3,X4)) => aa(X0,X1,X2,X4) = iG533(X1,X0,X4,X3,X2))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG533])])).
% 8.48/2.14  tff(f44764,plain,(
% 8.48/2.14    ( ! [X0 : $tType,X3 : $tType,X2 : fun(X3,$o),X1 : X3,X4 : fun(X3,X0)] : (one_one(X0) = iG533(X0,X3,X1,X2,X4) | ($true = aa(X3,$o,X2,X1))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26133])).
% 8.48/2.14  tff(f44761,plain,(
% 8.48/2.14    ( ! [X5 : $tType,X8 : $tType,X6 : set(X8),X9 : fun(X8,X5),X7 : X8] : (aa(set(X8),X5,aa(fun(X8,X5),fun(set(X8),X5),groups7121269368397514597t_prod(X8,X5),X9),X6) = iG534(X5,X8,X6,X7,X9) | ~member(X8,X7,X6)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26132])).
% 8.48/2.14  tff(f26132,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : set(X3),X2 : X3,X3 : $tType,X4 : fun(X3,X0)] : (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(X3,X0,X4,X2)),aa(set(X3),X0,aa(fun(X3,X0),fun(set(X3),X0),groups7121269368397514597t_prod(X3,X0),X4),X1)) = iG534(X0,X3,X1,X2,X4) | member(X3,X2,X1)) & ! [X5 : $tType,X6 : set(X8),X7 : X8,X8 : $tType,X9 : fun(X8,X5)] : (aa(set(X8),X5,aa(fun(X8,X5),fun(set(X8),X5),groups7121269368397514597t_prod(X8,X5),X9),X6) = iG534(X5,X8,X6,X7,X9) | ~member(X8,X7,X6))),
% 8.48/2.14    inference(ennf_transformation,[],[f20422])).
% 8.48/2.14  tff(f20422,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : set(X3),X2 : X3,X3 : $tType,X4 : fun(X3,X0)] : (~member(X3,X2,X1) => aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(X3,X0,X4,X2)),aa(set(X3),X0,aa(fun(X3,X0),fun(set(X3),X0),groups7121269368397514597t_prod(X3,X0),X4),X1)) = iG534(X0,X3,X1,X2,X4)) & ! [X5 : $tType,X6 : set(X8),X7 : X8,X8 : $tType,X9 : fun(X8,X5)] : (member(X8,X7,X6) => aa(set(X8),X5,aa(fun(X8,X5),fun(set(X8),X5),groups7121269368397514597t_prod(X8,X5),X9),X6) = iG534(X5,X8,X6,X7,X9))),
% 8.48/2.14    inference(flattening,[],[f20421])).
% 8.48/2.14  tff(f20421,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : set(X3),X2 : X3,X3 : $tType,X4 : fun(X3,X0)] : (~member(X3,X2,X1) => aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(X3,X0,X4,X2)),aa(set(X3),X0,aa(fun(X3,X0),fun(set(X3),X0),groups7121269368397514597t_prod(X3,X0),X4),X1)) = iG534(X0,X3,X1,X2,X4)) & ! [X5 : $tType,X6 : set(X8),X7 : X8,X8 : $tType,X9 : fun(X8,X5)] : (member(X8,X7,X6) => aa(set(X8),X5,aa(fun(X8,X5),fun(set(X8),X5),groups7121269368397514597t_prod(X8,X5),X9),X6) = iG534(X5,X8,X6,X7,X9))),
% 8.48/2.14    inference(rectify,[],[f15055])).
% 8.48/2.14  tff(f15055,plain,(
% 8.48/2.14    ! [X0 : $tType,X2 : set(X1),X4 : X1,X1 : $tType,X3 : fun(X1,X0)] : (~member(X1,X4,X2) => aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(X1,X0,X3,X4)),aa(set(X1),X0,aa(fun(X1,X0),fun(set(X1),X0),groups7121269368397514597t_prod(X1,X0),X3),X2)) = iG534(X0,X1,X2,X4,X3)) & ! [X0 : $tType,X2 : set(X1),X4 : X1,X1 : $tType,X3 : fun(X1,X0)] : (member(X1,X4,X2) => aa(set(X1),X0,aa(fun(X1,X0),fun(set(X1),X0),groups7121269368397514597t_prod(X1,X0),X3),X2) = iG534(X0,X1,X2,X4,X3))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG534])])).
% 8.48/2.14  tff(f44762,plain,(
% 8.48/2.14    ( ! [X0 : $tType,X3 : $tType,X2 : X3,X1 : set(X3),X4 : fun(X3,X0)] : (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(X3,X0,X4,X2)),aa(set(X3),X0,aa(fun(X3,X0),fun(set(X3),X0),groups7121269368397514597t_prod(X3,X0),X4),X1)) = iG534(X0,X3,X1,X2,X4) | member(X3,X2,X1)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26132])).
% 8.48/2.14  tff(f44759,plain,(
% 8.48/2.14    ( ! [X5 : $tType,X8 : $tType,X6 : set(X8),X9 : fun(X8,X5),X7 : X8] : (aa(X8,X5,X9,X7) = iG535(X5,X8,X6,X7,X9) | ~member(X8,X7,X6)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26131])).
% 8.48/2.14  tff(f26131,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : set(X3),X2 : X3,X3 : $tType,X4 : fun(X3,X0)] : (one_one(X0) = iG535(X0,X3,X1,X2,X4) | member(X3,X2,X1)) & ! [X5 : $tType,X6 : set(X8),X7 : X8,X8 : $tType,X9 : fun(X8,X5)] : (aa(X8,X5,X9,X7) = iG535(X5,X8,X6,X7,X9) | ~member(X8,X7,X6))),
% 8.48/2.14    inference(ennf_transformation,[],[f20420])).
% 8.48/2.14  tff(f20420,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : set(X3),X2 : X3,X3 : $tType,X4 : fun(X3,X0)] : (~member(X3,X2,X1) => one_one(X0) = iG535(X0,X3,X1,X2,X4)) & ! [X5 : $tType,X6 : set(X8),X7 : X8,X8 : $tType,X9 : fun(X8,X5)] : (member(X8,X7,X6) => aa(X8,X5,X9,X7) = iG535(X5,X8,X6,X7,X9))),
% 8.48/2.14    inference(flattening,[],[f20419])).
% 8.48/2.14  tff(f20419,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : set(X3),X2 : X3,X3 : $tType,X4 : fun(X3,X0)] : (~member(X3,X2,X1) => one_one(X0) = iG535(X0,X3,X1,X2,X4)) & ! [X5 : $tType,X6 : set(X8),X7 : X8,X8 : $tType,X9 : fun(X8,X5)] : (member(X8,X7,X6) => aa(X8,X5,X9,X7) = iG535(X5,X8,X6,X7,X9))),
% 8.48/2.14    inference(rectify,[],[f15058])).
% 8.48/2.14  tff(f15058,plain,(
% 8.48/2.14    ! [X1 : $tType,X2 : set(X0),X3 : X0,X0 : $tType,X4 : fun(X0,X1)] : (~member(X0,X3,X2) => one_one(X1) = iG535(X1,X0,X2,X3,X4)) & ! [X1 : $tType,X2 : set(X0),X3 : X0,X0 : $tType,X4 : fun(X0,X1)] : (member(X0,X3,X2) => aa(X0,X1,X4,X3) = iG535(X1,X0,X2,X3,X4))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG535])])).
% 8.48/2.14  tff(f44760,plain,(
% 8.48/2.14    ( ! [X0 : $tType,X3 : $tType,X2 : X3,X1 : set(X3),X4 : fun(X3,X0)] : (one_one(X0) = iG535(X0,X3,X1,X2,X4) | member(X3,X2,X1)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26131])).
% 8.48/2.14  tff(f44757,plain,(
% 8.48/2.14    ( ! [X5 : $tType,X8 : $tType,X6 : set(X8),X9 : fun(X8,X5),X7 : X8] : (aa(X8,X5,X9,X7) = iG536(X5,X8,X6,X7,X9) | ~member(X8,X7,X6)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26130])).
% 8.48/2.14  tff(f26130,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : set(X3),X2 : X3,X3 : $tType,X4 : fun(X3,X0)] : (one_one(X0) = iG536(X0,X3,X1,X2,X4) | member(X3,X2,X1)) & ! [X5 : $tType,X6 : set(X8),X7 : X8,X8 : $tType,X9 : fun(X8,X5)] : (aa(X8,X5,X9,X7) = iG536(X5,X8,X6,X7,X9) | ~member(X8,X7,X6))),
% 8.48/2.14    inference(ennf_transformation,[],[f20418])).
% 8.48/2.14  tff(f20418,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : set(X3),X2 : X3,X3 : $tType,X4 : fun(X3,X0)] : (~member(X3,X2,X1) => one_one(X0) = iG536(X0,X3,X1,X2,X4)) & ! [X5 : $tType,X6 : set(X8),X7 : X8,X8 : $tType,X9 : fun(X8,X5)] : (member(X8,X7,X6) => aa(X8,X5,X9,X7) = iG536(X5,X8,X6,X7,X9))),
% 8.48/2.14    inference(flattening,[],[f20417])).
% 8.48/2.14  tff(f20417,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : set(X3),X2 : X3,X3 : $tType,X4 : fun(X3,X0)] : (~member(X3,X2,X1) => one_one(X0) = iG536(X0,X3,X1,X2,X4)) & ! [X5 : $tType,X6 : set(X8),X7 : X8,X8 : $tType,X9 : fun(X8,X5)] : (member(X8,X7,X6) => aa(X8,X5,X9,X7) = iG536(X5,X8,X6,X7,X9))),
% 8.48/2.14    inference(rectify,[],[f15061])).
% 8.48/2.14  tff(f15061,plain,(
% 8.48/2.14    ! [X1 : $tType,X2 : set(X0),X3 : X0,X0 : $tType,X4 : fun(X0,X1)] : (~member(X0,X3,X2) => one_one(X1) = iG536(X1,X0,X2,X3,X4)) & ! [X1 : $tType,X2 : set(X0),X3 : X0,X0 : $tType,X4 : fun(X0,X1)] : (member(X0,X3,X2) => aa(X0,X1,X4,X3) = iG536(X1,X0,X2,X3,X4))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG536])])).
% 8.48/2.14  tff(f44758,plain,(
% 8.48/2.14    ( ! [X0 : $tType,X3 : $tType,X2 : X3,X1 : set(X3),X4 : fun(X3,X0)] : (one_one(X0) = iG536(X0,X3,X1,X2,X4) | member(X3,X2,X1)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26130])).
% 8.48/2.14  tff(f44755,plain,(
% 8.48/2.14    ( ! [X5 : $tType,X8 : $tType,X6 : set(X8),X9 : fun(X8,X5),X7 : X8] : (groups1962203154675924110t_prod(X8,X5,X9,X6) = iG537(X5,X8,X6,X7,X9) | ~member(X8,X7,X6)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26129])).
% 8.48/2.14  tff(f26129,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : set(X3),X2 : X3,X3 : $tType,X4 : fun(X3,X0)] : (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(X3,X0,X4,X2)),groups1962203154675924110t_prod(X3,X0,X4,X1)) = iG537(X0,X3,X1,X2,X4) | member(X3,X2,X1)) & ! [X5 : $tType,X6 : set(X8),X7 : X8,X8 : $tType,X9 : fun(X8,X5)] : (groups1962203154675924110t_prod(X8,X5,X9,X6) = iG537(X5,X8,X6,X7,X9) | ~member(X8,X7,X6))),
% 8.48/2.14    inference(ennf_transformation,[],[f20416])).
% 8.48/2.14  tff(f20416,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : set(X3),X2 : X3,X3 : $tType,X4 : fun(X3,X0)] : (~member(X3,X2,X1) => aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(X3,X0,X4,X2)),groups1962203154675924110t_prod(X3,X0,X4,X1)) = iG537(X0,X3,X1,X2,X4)) & ! [X5 : $tType,X6 : set(X8),X7 : X8,X8 : $tType,X9 : fun(X8,X5)] : (member(X8,X7,X6) => groups1962203154675924110t_prod(X8,X5,X9,X6) = iG537(X5,X8,X6,X7,X9))),
% 8.48/2.14    inference(flattening,[],[f20415])).
% 8.48/2.14  tff(f20415,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : set(X3),X2 : X3,X3 : $tType,X4 : fun(X3,X0)] : (~member(X3,X2,X1) => aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(X3,X0,X4,X2)),groups1962203154675924110t_prod(X3,X0,X4,X1)) = iG537(X0,X3,X1,X2,X4)) & ! [X5 : $tType,X6 : set(X8),X7 : X8,X8 : $tType,X9 : fun(X8,X5)] : (member(X8,X7,X6) => groups1962203154675924110t_prod(X8,X5,X9,X6) = iG537(X5,X8,X6,X7,X9))),
% 8.48/2.14    inference(rectify,[],[f15070])).
% 8.48/2.14  tff(f15070,plain,(
% 8.48/2.14    ! [X0 : $tType,X2 : set(X1),X4 : X1,X1 : $tType,X3 : fun(X1,X0)] : (~member(X1,X4,X2) => aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(X1,X0,X3,X4)),groups1962203154675924110t_prod(X1,X0,X3,X2)) = iG537(X0,X1,X2,X4,X3)) & ! [X0 : $tType,X2 : set(X1),X4 : X1,X1 : $tType,X3 : fun(X1,X0)] : (member(X1,X4,X2) => groups1962203154675924110t_prod(X1,X0,X3,X2) = iG537(X0,X1,X2,X4,X3))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG537])])).
% 8.48/2.14  tff(f44756,plain,(
% 8.48/2.14    ( ! [X0 : $tType,X3 : $tType,X2 : X3,X1 : set(X3),X4 : fun(X3,X0)] : (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(X3,X0,X4,X2)),groups1962203154675924110t_prod(X3,X0,X4,X1)) = iG537(X0,X3,X1,X2,X4) | member(X3,X2,X1)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26129])).
% 8.48/2.14  tff(f61421,plain,(
% 8.48/2.14    ( ! [X9 : $tType,X6 : $tType,X10 : X6,X11 : fun(X9,X6),X8 : X9] : (aa(X9,X6,X11,X8) = iG538(X6,X9,X8,X8,X10,X11)) )),
% 8.48/2.14    inference(equality_resolution,[],[f44753])).
% 8.48/2.14  tff(f44753,plain,(
% 8.48/2.14    ( ! [X9 : $tType,X6 : $tType,X10 : X6,X11 : fun(X9,X6),X8 : X9,X7 : X9] : (aa(X9,X6,X11,X7) = iG538(X6,X9,X7,X8,X10,X11) | X7 != X8) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26128])).
% 8.48/2.14  tff(f26128,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : X3,X2 : X3,X3 : $tType,X4 : X0,X5 : fun(X3,X0)] : (iG538(X0,X3,X1,X2,X4,X5) = X4 | X1 = X2) & ! [X6 : $tType,X7 : X9,X8 : X9,X9 : $tType,X10 : X6,X11 : fun(X9,X6)] : (aa(X9,X6,X11,X7) = iG538(X6,X9,X7,X8,X10,X11) | X7 != X8)),
% 8.48/2.14    inference(ennf_transformation,[],[f20414])).
% 8.48/2.14  tff(f20414,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : X3,X2 : X3,X3 : $tType,X4 : X0,X5 : fun(X3,X0)] : (X1 != X2 => iG538(X0,X3,X1,X2,X4,X5) = X4) & ! [X6 : $tType,X7 : X9,X8 : X9,X9 : $tType,X10 : X6,X11 : fun(X9,X6)] : (X7 = X8 => aa(X9,X6,X11,X7) = iG538(X6,X9,X7,X8,X10,X11))),
% 8.48/2.14    inference(flattening,[],[f20413])).
% 8.48/2.14  tff(f20413,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : X3,X2 : X3,X3 : $tType,X4 : X0,X5 : fun(X3,X0)] : (~X1 = X2 => iG538(X0,X3,X1,X2,X4,X5) = X4) & ! [X6 : $tType,X7 : X9,X8 : X9,X9 : $tType,X10 : X6,X11 : fun(X9,X6)] : (X7 = X8 => aa(X9,X6,X11,X7) = iG538(X6,X9,X7,X8,X10,X11))),
% 8.48/2.14    inference(rectify,[],[f15083])).
% 8.48/2.14  tff(f15083,plain,(
% 8.48/2.14    ! [X1 : $tType,X5 : X0,X2 : X0,X0 : $tType,X4 : X1,X3 : fun(X0,X1)] : (~X2 = X5 => iG538(X1,X0,X5,X2,X4,X3) = X4) & ! [X1 : $tType,X5 : X0,X2 : X0,X0 : $tType,X4 : X1,X3 : fun(X0,X1)] : (X2 = X5 => aa(X0,X1,X3,X5) = iG538(X1,X0,X5,X2,X4,X3))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG538])])).
% 8.48/2.14  tff(f44754,plain,(
% 8.48/2.14    ( ! [X0 : $tType,X3 : $tType,X2 : X3,X1 : X3,X4 : X0,X5 : fun(X3,X0)] : (iG538(X0,X3,X1,X2,X4,X5) = X4 | X1 = X2) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26128])).
% 8.48/2.14  tff(f61420,plain,(
% 8.48/2.14    ( ! [X9 : $tType,X6 : $tType,X10 : fun(X9,X6),X11 : fun(X9,X6),X8 : X9] : (aa(X9,X6,X11,X8) = iG539(X6,X9,X8,X8,X10,X11)) )),
% 8.48/2.14    inference(equality_resolution,[],[f44751])).
% 8.48/2.14  tff(f44751,plain,(
% 8.48/2.14    ( ! [X9 : $tType,X6 : $tType,X10 : fun(X9,X6),X11 : fun(X9,X6),X8 : X9,X7 : X9] : (aa(X9,X6,X11,X7) = iG539(X6,X9,X7,X8,X10,X11) | X7 != X8) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26127])).
% 8.48/2.14  tff(f26127,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : X3,X2 : X3,X3 : $tType,X4 : fun(X3,X0),X5 : fun(X3,X0)] : (aa(X3,X0,X4,X1) = iG539(X0,X3,X1,X2,X4,X5) | X1 = X2) & ! [X6 : $tType,X7 : X9,X8 : X9,X9 : $tType,X10 : fun(X9,X6),X11 : fun(X9,X6)] : (aa(X9,X6,X11,X7) = iG539(X6,X9,X7,X8,X10,X11) | X7 != X8)),
% 8.48/2.14    inference(ennf_transformation,[],[f20412])).
% 8.48/2.14  tff(f20412,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : X3,X2 : X3,X3 : $tType,X4 : fun(X3,X0),X5 : fun(X3,X0)] : (X1 != X2 => aa(X3,X0,X4,X1) = iG539(X0,X3,X1,X2,X4,X5)) & ! [X6 : $tType,X7 : X9,X8 : X9,X9 : $tType,X10 : fun(X9,X6),X11 : fun(X9,X6)] : (X7 = X8 => aa(X9,X6,X11,X7) = iG539(X6,X9,X7,X8,X10,X11))),
% 8.48/2.14    inference(flattening,[],[f20411])).
% 8.48/2.14  tff(f20411,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : X3,X2 : X3,X3 : $tType,X4 : fun(X3,X0),X5 : fun(X3,X0)] : (~X1 = X2 => aa(X3,X0,X4,X1) = iG539(X0,X3,X1,X2,X4,X5)) & ! [X6 : $tType,X7 : X9,X8 : X9,X9 : $tType,X10 : fun(X9,X6),X11 : fun(X9,X6)] : (X7 = X8 => aa(X9,X6,X11,X7) = iG539(X6,X9,X7,X8,X10,X11))),
% 8.48/2.14    inference(rectify,[],[f15086])).
% 8.48/2.14  tff(f15086,plain,(
% 8.48/2.14    ! [X0 : $tType,X5 : X1,X2 : X1,X1 : $tType,X4 : fun(X1,X0),X3 : fun(X1,X0)] : (~X2 = X5 => aa(X1,X0,X4,X5) = iG539(X0,X1,X5,X2,X4,X3)) & ! [X0 : $tType,X5 : X1,X2 : X1,X1 : $tType,X4 : fun(X1,X0),X3 : fun(X1,X0)] : (X2 = X5 => aa(X1,X0,X3,X5) = iG539(X0,X1,X5,X2,X4,X3))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG539])])).
% 8.48/2.14  tff(f44752,plain,(
% 8.48/2.14    ( ! [X0 : $tType,X3 : $tType,X2 : X3,X1 : X3,X4 : fun(X3,X0),X5 : fun(X3,X0)] : (aa(X3,X0,X4,X1) = iG539(X0,X3,X1,X2,X4,X5) | X1 = X2) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26127])).
% 8.48/2.14  tff(f44749,plain,(
% 8.48/2.14    ( ! [X9 : $tType,X6 : $tType,X10 : fun(X9,X6),X11 : fun(X9,X6),X8 : fun(X9,$o),X7 : X9] : (aa(X9,X6,X11,X7) = iG540(X6,X9,X7,X8,X10,X11) | ($true != aa(X9,$o,X8,X7))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26126])).
% 8.48/2.14  tff(f26126,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : X3,X2 : fun(X3,$o),X3 : $tType,X4 : fun(X3,X0),X5 : fun(X3,X0)] : (aa(X3,X0,X4,X1) = iG540(X0,X3,X1,X2,X4,X5) | ($true = aa(X3,$o,X2,X1))) & ! [X6 : $tType,X7 : X9,X8 : fun(X9,$o),X9 : $tType,X10 : fun(X9,X6),X11 : fun(X9,X6)] : (aa(X9,X6,X11,X7) = iG540(X6,X9,X7,X8,X10,X11) | ($true != aa(X9,$o,X8,X7)))),
% 8.48/2.14    inference(ennf_transformation,[],[f20410])).
% 8.48/2.14  tff(f20410,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : X3,X2 : fun(X3,$o),X3 : $tType,X4 : fun(X3,X0),X5 : fun(X3,X0)] : (($true != aa(X3,$o,X2,X1)) => aa(X3,X0,X4,X1) = iG540(X0,X3,X1,X2,X4,X5)) & ! [X6 : $tType,X7 : X9,X8 : fun(X9,$o),X9 : $tType,X10 : fun(X9,X6),X11 : fun(X9,X6)] : (($true = aa(X9,$o,X8,X7)) => aa(X9,X6,X11,X7) = iG540(X6,X9,X7,X8,X10,X11))),
% 8.48/2.14    inference(flattening,[],[f20409])).
% 8.48/2.14  tff(f20409,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : X3,X2 : fun(X3,$o),X3 : $tType,X4 : fun(X3,X0),X5 : fun(X3,X0)] : (~($true = aa(X3,$o,X2,X1)) => aa(X3,X0,X4,X1) = iG540(X0,X3,X1,X2,X4,X5)) & ! [X6 : $tType,X7 : X9,X8 : fun(X9,$o),X9 : $tType,X10 : fun(X9,X6),X11 : fun(X9,X6)] : (($true = aa(X9,$o,X8,X7)) => aa(X9,X6,X11,X7) = iG540(X6,X9,X7,X8,X10,X11))),
% 8.48/2.14    inference(rectify,[],[f15089])).
% 8.48/2.14  tff(f15089,plain,(
% 8.48/2.14    ! [X0 : $tType,X5 : X1,X2 : fun(X1,$o),X1 : $tType,X4 : fun(X1,X0),X3 : fun(X1,X0)] : (~($true = aa(X1,$o,X2,X5)) => aa(X1,X0,X4,X5) = iG540(X0,X1,X5,X2,X4,X3)) & ! [X0 : $tType,X5 : X1,X2 : fun(X1,$o),X1 : $tType,X4 : fun(X1,X0),X3 : fun(X1,X0)] : (($true = aa(X1,$o,X2,X5)) => aa(X1,X0,X3,X5) = iG540(X0,X1,X5,X2,X4,X3))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG540])])).
% 8.48/2.14  tff(f44750,plain,(
% 8.48/2.14    ( ! [X0 : $tType,X3 : $tType,X2 : fun(X3,$o),X1 : X3,X4 : fun(X3,X0),X5 : fun(X3,X0)] : (aa(X3,X0,X4,X1) = iG540(X0,X3,X1,X2,X4,X5) | ($true = aa(X3,$o,X2,X1))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26126])).
% 8.48/2.14  tff(f44747,plain,(
% 8.48/2.14    ( ! [X9 : $tType,X6 : $tType,X10 : X6,X11 : fun(X9,X6),X8 : X9,X7 : set(X9)] : (aa(X6,X6,aa(X6,fun(X6,X6),times_times(X6),aa(X9,X6,X11,X8)),aa(nat,X6,aa(X6,fun(nat,X6),power_power(X6),X10),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(set(X9),nat,finite_card(X9),X7)),one_one(nat)))) = iG541(X6,X9,X7,X8,X10,X11) | ~member(X9,X8,X7)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26125])).
% 8.48/2.14  tff(f26125,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : set(X3),X2 : X3,X3 : $tType,X4 : X0,X5 : fun(X3,X0)] : (aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X4),aa(set(X3),nat,finite_card(X3),X1)) = iG541(X0,X3,X1,X2,X4,X5) | member(X3,X2,X1)) & ! [X6 : $tType,X7 : set(X9),X8 : X9,X9 : $tType,X10 : X6,X11 : fun(X9,X6)] : (aa(X6,X6,aa(X6,fun(X6,X6),times_times(X6),aa(X9,X6,X11,X8)),aa(nat,X6,aa(X6,fun(nat,X6),power_power(X6),X10),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(set(X9),nat,finite_card(X9),X7)),one_one(nat)))) = iG541(X6,X9,X7,X8,X10,X11) | ~member(X9,X8,X7))),
% 8.48/2.14    inference(ennf_transformation,[],[f20408])).
% 8.48/2.14  tff(f20408,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : set(X3),X2 : X3,X3 : $tType,X4 : X0,X5 : fun(X3,X0)] : (~member(X3,X2,X1) => aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X4),aa(set(X3),nat,finite_card(X3),X1)) = iG541(X0,X3,X1,X2,X4,X5)) & ! [X6 : $tType,X7 : set(X9),X8 : X9,X9 : $tType,X10 : X6,X11 : fun(X9,X6)] : (member(X9,X8,X7) => aa(X6,X6,aa(X6,fun(X6,X6),times_times(X6),aa(X9,X6,X11,X8)),aa(nat,X6,aa(X6,fun(nat,X6),power_power(X6),X10),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(set(X9),nat,finite_card(X9),X7)),one_one(nat)))) = iG541(X6,X9,X7,X8,X10,X11))),
% 8.48/2.14    inference(flattening,[],[f20407])).
% 8.48/2.14  tff(f20407,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : set(X3),X2 : X3,X3 : $tType,X4 : X0,X5 : fun(X3,X0)] : (~member(X3,X2,X1) => aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X4),aa(set(X3),nat,finite_card(X3),X1)) = iG541(X0,X3,X1,X2,X4,X5)) & ! [X6 : $tType,X7 : set(X9),X8 : X9,X9 : $tType,X10 : X6,X11 : fun(X9,X6)] : (member(X9,X8,X7) => aa(X6,X6,aa(X6,fun(X6,X6),times_times(X6),aa(X9,X6,X11,X8)),aa(nat,X6,aa(X6,fun(nat,X6),power_power(X6),X10),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(set(X9),nat,finite_card(X9),X7)),one_one(nat)))) = iG541(X6,X9,X7,X8,X10,X11))),
% 8.48/2.14    inference(rectify,[],[f15092])).
% 8.48/2.14  tff(f15092,plain,(
% 8.48/2.14    ! [X0 : $tType,X2 : set(X1),X3 : X1,X1 : $tType,X5 : X0,X4 : fun(X1,X0)] : (~member(X1,X3,X2) => aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X5),aa(set(X1),nat,finite_card(X1),X2)) = iG541(X0,X1,X2,X3,X5,X4)) & ! [X0 : $tType,X2 : set(X1),X3 : X1,X1 : $tType,X5 : X0,X4 : fun(X1,X0)] : (member(X1,X3,X2) => aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(X1,X0,X4,X3)),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X5),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(set(X1),nat,finite_card(X1),X2)),one_one(nat)))) = iG541(X0,X1,X2,X3,X5,X4))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG541])])).
% 8.48/2.14  tff(f44748,plain,(
% 8.48/2.14    ( ! [X0 : $tType,X3 : $tType,X2 : X3,X1 : set(X3),X4 : X0,X5 : fun(X3,X0)] : (aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X4),aa(set(X3),nat,finite_card(X3),X1)) = iG541(X0,X3,X1,X2,X4,X5) | member(X3,X2,X1)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26125])).
% 8.48/2.14  tff(f44745,plain,(
% 8.48/2.14    ( ! [X9 : $tType,X6 : $tType,X10 : fun(X9,X6),X11 : fun(X9,X6),X8 : X9,X7 : set(X9)] : (aa(X6,X6,aa(X6,fun(X6,X6),times_times(X6),aa(X9,X6,X11,X8)),aa(set(X9),X6,aa(fun(X9,X6),fun(set(X9),X6),groups7121269368397514597t_prod(X9,X6),X10),aa(set(X9),set(X9),aa(set(X9),fun(set(X9),set(X9)),minus_minus(set(X9)),X7),aa(set(X9),set(X9),insert(X9,X8),bot_bot(set(X9)))))) = iG542(X6,X9,X7,X8,X10,X11) | ~member(X9,X8,X7)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26124])).
% 8.48/2.14  tff(f26124,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : set(X3),X2 : X3,X3 : $tType,X4 : fun(X3,X0),X5 : fun(X3,X0)] : (aa(set(X3),X0,aa(fun(X3,X0),fun(set(X3),X0),groups7121269368397514597t_prod(X3,X0),X4),aa(set(X3),set(X3),aa(set(X3),fun(set(X3),set(X3)),minus_minus(set(X3)),X1),aa(set(X3),set(X3),insert(X3,X2),bot_bot(set(X3))))) = iG542(X0,X3,X1,X2,X4,X5) | member(X3,X2,X1)) & ! [X6 : $tType,X7 : set(X9),X8 : X9,X9 : $tType,X10 : fun(X9,X6),X11 : fun(X9,X6)] : (aa(X6,X6,aa(X6,fun(X6,X6),times_times(X6),aa(X9,X6,X11,X8)),aa(set(X9),X6,aa(fun(X9,X6),fun(set(X9),X6),groups7121269368397514597t_prod(X9,X6),X10),aa(set(X9),set(X9),aa(set(X9),fun(set(X9),set(X9)),minus_minus(set(X9)),X7),aa(set(X9),set(X9),insert(X9,X8),bot_bot(set(X9)))))) = iG542(X6,X9,X7,X8,X10,X11) | ~member(X9,X8,X7))),
% 8.48/2.14    inference(ennf_transformation,[],[f20406])).
% 8.48/2.14  tff(f20406,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : set(X3),X2 : X3,X3 : $tType,X4 : fun(X3,X0),X5 : fun(X3,X0)] : (~member(X3,X2,X1) => aa(set(X3),X0,aa(fun(X3,X0),fun(set(X3),X0),groups7121269368397514597t_prod(X3,X0),X4),aa(set(X3),set(X3),aa(set(X3),fun(set(X3),set(X3)),minus_minus(set(X3)),X1),aa(set(X3),set(X3),insert(X3,X2),bot_bot(set(X3))))) = iG542(X0,X3,X1,X2,X4,X5)) & ! [X6 : $tType,X7 : set(X9),X8 : X9,X9 : $tType,X10 : fun(X9,X6),X11 : fun(X9,X6)] : (member(X9,X8,X7) => aa(X6,X6,aa(X6,fun(X6,X6),times_times(X6),aa(X9,X6,X11,X8)),aa(set(X9),X6,aa(fun(X9,X6),fun(set(X9),X6),groups7121269368397514597t_prod(X9,X6),X10),aa(set(X9),set(X9),aa(set(X9),fun(set(X9),set(X9)),minus_minus(set(X9)),X7),aa(set(X9),set(X9),insert(X9,X8),bot_bot(set(X9)))))) = iG542(X6,X9,X7,X8,X10,X11))),
% 8.48/2.14    inference(flattening,[],[f20405])).
% 8.48/2.14  tff(f20405,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : set(X3),X2 : X3,X3 : $tType,X4 : fun(X3,X0),X5 : fun(X3,X0)] : (~member(X3,X2,X1) => aa(set(X3),X0,aa(fun(X3,X0),fun(set(X3),X0),groups7121269368397514597t_prod(X3,X0),X4),aa(set(X3),set(X3),aa(set(X3),fun(set(X3),set(X3)),minus_minus(set(X3)),X1),aa(set(X3),set(X3),insert(X3,X2),bot_bot(set(X3))))) = iG542(X0,X3,X1,X2,X4,X5)) & ! [X6 : $tType,X7 : set(X9),X8 : X9,X9 : $tType,X10 : fun(X9,X6),X11 : fun(X9,X6)] : (member(X9,X8,X7) => aa(X6,X6,aa(X6,fun(X6,X6),times_times(X6),aa(X9,X6,X11,X8)),aa(set(X9),X6,aa(fun(X9,X6),fun(set(X9),X6),groups7121269368397514597t_prod(X9,X6),X10),aa(set(X9),set(X9),aa(set(X9),fun(set(X9),set(X9)),minus_minus(set(X9)),X7),aa(set(X9),set(X9),insert(X9,X8),bot_bot(set(X9)))))) = iG542(X6,X9,X7,X8,X10,X11))),
% 8.48/2.14    inference(rectify,[],[f15095])).
% 8.48/2.14  tff(f15095,plain,(
% 8.48/2.14    ! [X0 : $tType,X2 : set(X1),X3 : X1,X1 : $tType,X5 : fun(X1,X0),X4 : fun(X1,X0)] : (~member(X1,X3,X2) => aa(set(X1),X0,aa(fun(X1,X0),fun(set(X1),X0),groups7121269368397514597t_prod(X1,X0),X5),aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),minus_minus(set(X1)),X2),aa(set(X1),set(X1),insert(X1,X3),bot_bot(set(X1))))) = iG542(X0,X1,X2,X3,X5,X4)) & ! [X0 : $tType,X2 : set(X1),X3 : X1,X1 : $tType,X5 : fun(X1,X0),X4 : fun(X1,X0)] : (member(X1,X3,X2) => aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(X1,X0,X4,X3)),aa(set(X1),X0,aa(fun(X1,X0),fun(set(X1),X0),groups7121269368397514597t_prod(X1,X0),X5),aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),minus_minus(set(X1)),X2),aa(set(X1),set(X1),insert(X1,X3),bot_bot(set(X1)))))) = iG542(X0,X1,X2,X3,X5,X4))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG542])])).
% 8.48/2.14  tff(f44746,plain,(
% 8.48/2.14    ( ! [X0 : $tType,X3 : $tType,X2 : X3,X1 : set(X3),X4 : fun(X3,X0),X5 : fun(X3,X0)] : (aa(set(X3),X0,aa(fun(X3,X0),fun(set(X3),X0),groups7121269368397514597t_prod(X3,X0),X4),aa(set(X3),set(X3),aa(set(X3),fun(set(X3),set(X3)),minus_minus(set(X3)),X1),aa(set(X3),set(X3),insert(X3,X2),bot_bot(set(X3))))) = iG542(X0,X3,X1,X2,X4,X5) | member(X3,X2,X1)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26124])).
% 8.48/2.14  tff(f44743,plain,(
% 8.48/2.14    ( ! [X9 : $tType,X6 : $tType,X10 : X6,X11 : list(X6),X8 : fun(X6,X9),X7 : X6] : (aa(list(X6),list(X6),cons(X6,X10),aa(list(X6),list(X6),cons(X6,X7),X11)) = iG543(X6,X9,X7,X8,X10,X11) | ($true != aa(X9,$o,aa(X9,fun(X9,$o),ord_less_eq(X9),aa(X6,X9,X8,X10)),aa(X6,X9,X8,X7)))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26123])).
% 8.48/2.14  tff(f26123,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : X0,X2 : fun(X0,X3),X3 : $tType,X4 : X0,X5 : list(X0)] : (aa(list(X0),list(X0),cons(X0,X1),aa(list(X0),list(X0),aa(X0,fun(list(X0),list(X0)),linorder_insort_key(X0,X3,X2),X4),X5)) = iG543(X0,X3,X1,X2,X4,X5) | ($true = aa(X3,$o,aa(X3,fun(X3,$o),ord_less_eq(X3),aa(X0,X3,X2,X4)),aa(X0,X3,X2,X1)))) & ! [X6 : $tType,X7 : X6,X8 : fun(X6,X9),X9 : $tType,X10 : X6,X11 : list(X6)] : (aa(list(X6),list(X6),cons(X6,X10),aa(list(X6),list(X6),cons(X6,X7),X11)) = iG543(X6,X9,X7,X8,X10,X11) | ($true != aa(X9,$o,aa(X9,fun(X9,$o),ord_less_eq(X9),aa(X6,X9,X8,X10)),aa(X6,X9,X8,X7))))),
% 8.48/2.14    inference(ennf_transformation,[],[f20404])).
% 8.48/2.14  tff(f20404,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : X0,X2 : fun(X0,X3),X3 : $tType,X4 : X0,X5 : list(X0)] : (($true != aa(X3,$o,aa(X3,fun(X3,$o),ord_less_eq(X3),aa(X0,X3,X2,X4)),aa(X0,X3,X2,X1))) => aa(list(X0),list(X0),cons(X0,X1),aa(list(X0),list(X0),aa(X0,fun(list(X0),list(X0)),linorder_insort_key(X0,X3,X2),X4),X5)) = iG543(X0,X3,X1,X2,X4,X5)) & ! [X6 : $tType,X7 : X6,X8 : fun(X6,X9),X9 : $tType,X10 : X6,X11 : list(X6)] : (($true = aa(X9,$o,aa(X9,fun(X9,$o),ord_less_eq(X9),aa(X6,X9,X8,X10)),aa(X6,X9,X8,X7))) => aa(list(X6),list(X6),cons(X6,X10),aa(list(X6),list(X6),cons(X6,X7),X11)) = iG543(X6,X9,X7,X8,X10,X11))),
% 8.48/2.14    inference(flattening,[],[f20403])).
% 8.48/2.14  tff(f20403,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : X0,X2 : fun(X0,X3),X3 : $tType,X4 : X0,X5 : list(X0)] : (~($true = aa(X3,$o,aa(X3,fun(X3,$o),ord_less_eq(X3),aa(X0,X3,X2,X4)),aa(X0,X3,X2,X1))) => aa(list(X0),list(X0),cons(X0,X1),aa(list(X0),list(X0),aa(X0,fun(list(X0),list(X0)),linorder_insort_key(X0,X3,X2),X4),X5)) = iG543(X0,X3,X1,X2,X4,X5)) & ! [X6 : $tType,X7 : X6,X8 : fun(X6,X9),X9 : $tType,X10 : X6,X11 : list(X6)] : (($true = aa(X9,$o,aa(X9,fun(X9,$o),ord_less_eq(X9),aa(X6,X9,X8,X10)),aa(X6,X9,X8,X7))) => aa(list(X6),list(X6),cons(X6,X10),aa(list(X6),list(X6),cons(X6,X7),X11)) = iG543(X6,X9,X7,X8,X10,X11))),
% 8.48/2.14    inference(rectify,[],[f15162])).
% 8.48/2.14  tff(f15162,plain,(
% 8.48/2.14    ! [X1 : $tType,X4 : X1,X2 : fun(X1,X0),X0 : $tType,X3 : X1,X5 : list(X1)] : (~($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(X1,X0,X2,X3)),aa(X1,X0,X2,X4))) => aa(list(X1),list(X1),cons(X1,X4),aa(list(X1),list(X1),aa(X1,fun(list(X1),list(X1)),linorder_insort_key(X1,X0,X2),X3),X5)) = iG543(X1,X0,X4,X2,X3,X5)) & ! [X1 : $tType,X4 : X1,X2 : fun(X1,X0),X0 : $tType,X3 : X1,X5 : list(X1)] : (($true = aa(X0,$o,aa(X0,fun(X0,$o),ord_less_eq(X0),aa(X1,X0,X2,X3)),aa(X1,X0,X2,X4))) => aa(list(X1),list(X1),cons(X1,X3),aa(list(X1),list(X1),cons(X1,X4),X5)) = iG543(X1,X0,X4,X2,X3,X5))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG543])])).
% 8.48/2.14  tff(f44744,plain,(
% 8.48/2.14    ( ! [X0 : $tType,X3 : $tType,X2 : fun(X0,X3),X1 : X0,X4 : X0,X5 : list(X0)] : (aa(list(X0),list(X0),cons(X0,X1),aa(list(X0),list(X0),aa(X0,fun(list(X0),list(X0)),linorder_insort_key(X0,X3,X2),X4),X5)) = iG543(X0,X3,X1,X2,X4,X5) | ($true = aa(X3,$o,aa(X3,fun(X3,$o),ord_less_eq(X3),aa(X0,X3,X2,X4)),aa(X0,X3,X2,X1)))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26123])).
% 8.48/2.14  tff(f61419,plain,(
% 8.48/2.14    ($true = bG544($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44741])).
% 8.48/2.14  tff(f44741,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG544(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36329])).
% 8.48/2.14  tff(f36329,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG544(X0))) & (($true = bG544(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20402])).
% 8.48/2.14  tff(f20402,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG544(X0)))),
% 8.48/2.14    inference(rectify,[],[f15195])).
% 8.48/2.14  tff(f15195,plain,(
% 8.48/2.14    ! [X2 : $o] : (($true = X2) <=> ($true = bG544(X2)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG544])])).
% 8.48/2.14  tff(f44742,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG544(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36329])).
% 8.48/2.14  tff(f61418,plain,(
% 8.48/2.14    ($true = bG545($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44739])).
% 8.48/2.14  tff(f44739,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG545(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36328])).
% 8.48/2.14  tff(f36328,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG545(X0))) & (($true = bG545(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20401])).
% 8.48/2.14  tff(f20401,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG545(X0)))),
% 8.48/2.14    inference(rectify,[],[f15196])).
% 8.48/2.14  tff(f15196,plain,(
% 8.48/2.14    ! [X3 : $o] : (($true = X3) <=> ($true = bG545(X3)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG545])])).
% 8.48/2.14  tff(f44740,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG545(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36328])).
% 8.48/2.14  tff(f44738,plain,(
% 8.48/2.14    ( ! [X0 : nat] : (divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))) = lG546(X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f20400])).
% 8.48/2.14  tff(f20400,plain,(
% 8.48/2.14    ! [X0 : nat] : divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))) = lG546(X0)),
% 8.48/2.14    inference(rectify,[],[f15197])).
% 8.48/2.14  tff(f15197,plain,(
% 8.48/2.14    ! [X5 : nat] : divide_divide(nat,X5,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))) = lG546(X5)),
% 8.48/2.14    introduced(fool_let_definition,[new_symbols(definition,[lG546])])).
% 8.48/2.14  tff(f44737,plain,(
% 8.48/2.14    ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),lG546(X0)) = lG547(X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f20399])).
% 8.48/2.14  tff(f20399,plain,(
% 8.48/2.14    ! [X0 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),lG546(X0)) = lG547(X0)),
% 8.48/2.14    inference(rectify,[],[f15198])).
% 8.48/2.14  tff(f15198,plain,(
% 8.48/2.14    ! [X5 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X5),lG546(X5)) = lG547(X5)),
% 8.48/2.14    introduced(fool_let_definition,[new_symbols(definition,[lG547])])).
% 8.48/2.14  tff(f44733,plain,(
% 8.48/2.14    ( ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (($true = bG548(X0,X1)) | member(vEBT_VEBT,sK1691(X0),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0)) | ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),sK1693(X1)))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36327])).
% 8.48/2.14  tff(f36327,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (((! [X2 : vEBT_VEBT] : (! [X3 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) | ~member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & ! [X4 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) | ($true != bG548(X0,X1))) & (($true = bG548(X0,X1)) | (($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK1691(X0)),sK1692(X0))) & member(vEBT_VEBT,sK1691(X0),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) | ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),sK1693(X1)))))),
% 8.48/2.14    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1691,sK1692,sK1693])],[f36323,f36326,f36325,f36324])).
% 8.48/2.14  tff(f36324,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT)] : (? [X5 : vEBT_VEBT] : (? [X6 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X5),X6)) & member(vEBT_VEBT,X5,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) => (? [X6 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK1691(X0)),X6)) & member(vEBT_VEBT,sK1691(X0),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))))),
% 8.48/2.14    introduced(choice_axiom,[])).
% 8.48/2.14  tff(f36325,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT)] : (? [X6 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK1691(X0)),X6)) => ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK1691(X0)),sK1692(X0))))),
% 8.48/2.14    introduced(choice_axiom,[])).
% 8.48/2.14  tff(f36326,plain,(
% 8.48/2.14    ! [X1 : vEBT_VEBT] : (? [X7 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X7)) => ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),sK1693(X1))))),
% 8.48/2.14    introduced(choice_axiom,[])).
% 8.48/2.14  tff(f36323,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (((! [X2 : vEBT_VEBT] : (! [X3 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) | ~member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & ! [X4 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) | ($true != bG548(X0,X1))) & (($true = bG548(X0,X1)) | ? [X5 : vEBT_VEBT] : (? [X6 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X5),X6)) & member(vEBT_VEBT,X5,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) | ? [X7 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X7))))),
% 8.48/2.14    inference(rectify,[],[f36322])).
% 8.48/2.14  tff(f36322,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (((! [X2 : vEBT_VEBT] : (! [X3 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) | ~member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & ! [X4 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) | ($true != bG548(X0,X1))) & (($true = bG548(X0,X1)) | ? [X2 : vEBT_VEBT] : (? [X3 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) & member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) | ? [X4 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))))),
% 8.48/2.14    inference(flattening,[],[f36321])).
% 8.48/2.14  tff(f36321,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (((! [X2 : vEBT_VEBT] : (! [X3 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) | ~member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & ! [X4 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) | ($true != bG548(X0,X1))) & (($true = bG548(X0,X1)) | (? [X2 : vEBT_VEBT] : (? [X3 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) & member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) | ? [X4 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4)))))),
% 8.48/2.14    inference(nnf_transformation,[],[f26122])).
% 8.48/2.14  tff(f26122,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : ((! [X2 : vEBT_VEBT] : (! [X3 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) | ~member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & ! [X4 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) <=> ($true = bG548(X0,X1)))),
% 8.48/2.14    inference(ennf_transformation,[],[f20398])).
% 8.48/2.14  tff(f20398,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : ((! [X2 : vEBT_VEBT] : (member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0)) => ~? [X3 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3))) & ~? [X4 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) <=> ($true = bG548(X0,X1)))),
% 8.48/2.14    inference(rectify,[],[f15199])).
% 8.48/2.14  tff(f15199,plain,(
% 8.48/2.14    ! [X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : ((! [X8 : vEBT_VEBT] : (member(vEBT_VEBT,X8,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X6)) => ~? [X9 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X8),X9))) & ~? [X10 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X7),X10))) <=> ($true = bG548(X6,X7)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG548])])).
% 8.48/2.14  tff(f44734,plain,(
% 8.48/2.14    ( ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (($true = bG548(X0,X1)) | ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK1691(X0)),sK1692(X0))) | ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),sK1693(X1)))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36327])).
% 8.48/2.14  tff(f44735,plain,(
% 8.48/2.14    ( ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT,X4 : nat] : (($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4)) | ($true != bG548(X0,X1))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36327])).
% 8.48/2.14  tff(f44736,plain,(
% 8.48/2.14    ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) | ~member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0)) | ($true != bG548(X0,X1))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36327])).
% 8.48/2.14  tff(f61417,plain,(
% 8.48/2.14    ($true = bG549($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44731])).
% 8.48/2.14  tff(f44731,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG549(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36320])).
% 8.48/2.14  tff(f36320,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG549(X0))) & (($true = bG549(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20397])).
% 8.48/2.14  tff(f20397,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG549(X0)))),
% 8.48/2.14    inference(rectify,[],[f15202])).
% 8.48/2.14  tff(f15202,plain,(
% 8.48/2.14    ! [X2 : $o] : (($true = X2) <=> ($true = bG549(X2)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG549])])).
% 8.48/2.14  tff(f44732,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG549(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36320])).
% 8.48/2.14  tff(f61416,plain,(
% 8.48/2.14    ($true = bG550($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44729])).
% 8.48/2.14  tff(f44729,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG550(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36319])).
% 8.48/2.14  tff(f36319,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG550(X0))) & (($true = bG550(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20396])).
% 8.48/2.14  tff(f20396,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG550(X0)))),
% 8.48/2.14    inference(rectify,[],[f15203])).
% 8.48/2.14  tff(f15203,plain,(
% 8.48/2.14    ! [X3 : $o] : (($true = X3) <=> ($true = bG550(X3)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG550])])).
% 8.48/2.14  tff(f44730,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG550(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36319])).
% 8.48/2.14  tff(f61415,plain,(
% 8.48/2.14    ($true = bG551($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44727])).
% 8.48/2.14  tff(f44727,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG551(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36318])).
% 8.48/2.14  tff(f36318,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG551(X0))) & (($true = bG551(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20395])).
% 8.48/2.14  tff(f20395,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG551(X0)))),
% 8.48/2.14    inference(rectify,[],[f15204])).
% 8.48/2.14  tff(f15204,plain,(
% 8.48/2.14    ! [X2 : $o] : (($true = X2) <=> ($true = bG551(X2)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG551])])).
% 8.48/2.14  tff(f44728,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG551(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36318])).
% 8.48/2.14  tff(f61414,plain,(
% 8.48/2.14    ($true = bG552($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44725])).
% 8.48/2.14  tff(f44725,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG552(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36317])).
% 8.48/2.14  tff(f36317,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG552(X0))) & (($true = bG552(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20394])).
% 8.48/2.14  tff(f20394,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG552(X0)))),
% 8.48/2.14    inference(rectify,[],[f15205])).
% 8.48/2.14  tff(f15205,plain,(
% 8.48/2.14    ! [X3 : $o] : (($true = X3) <=> ($true = bG552(X3)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG552])])).
% 8.48/2.14  tff(f44726,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG552(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36317])).
% 8.48/2.14  tff(f44724,plain,(
% 8.48/2.14    ( ! [X0 : nat] : (divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))) = lG553(X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f20393])).
% 8.48/2.14  tff(f20393,plain,(
% 8.48/2.14    ! [X0 : nat] : divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))) = lG553(X0)),
% 8.48/2.14    inference(rectify,[],[f15206])).
% 8.48/2.14  tff(f15206,plain,(
% 8.48/2.14    ! [X5 : nat] : divide_divide(nat,X5,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))) = lG553(X5)),
% 8.48/2.14    introduced(fool_let_definition,[new_symbols(definition,[lG553])])).
% 8.48/2.14  tff(f44723,plain,(
% 8.48/2.14    ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),lG553(X0)) = lG554(X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f20392])).
% 8.48/2.14  tff(f20392,plain,(
% 8.48/2.14    ! [X0 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),lG553(X0)) = lG554(X0)),
% 8.48/2.14    inference(rectify,[],[f15207])).
% 8.48/2.14  tff(f15207,plain,(
% 8.48/2.14    ! [X5 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X5),lG553(X5)) = lG554(X5)),
% 8.48/2.14    introduced(fool_let_definition,[new_symbols(definition,[lG554])])).
% 8.48/2.14  tff(f44719,plain,(
% 8.48/2.14    ( ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (($true = bG555(X0,X1)) | member(vEBT_VEBT,sK1688(X0),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0)) | ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),sK1690(X1)))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36316])).
% 8.48/2.14  tff(f36316,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (((! [X2 : vEBT_VEBT] : (! [X3 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) | ~member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & ! [X4 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) | ($true != bG555(X0,X1))) & (($true = bG555(X0,X1)) | (($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK1688(X0)),sK1689(X0))) & member(vEBT_VEBT,sK1688(X0),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) | ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),sK1690(X1)))))),
% 8.48/2.14    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1688,sK1689,sK1690])],[f36312,f36315,f36314,f36313])).
% 8.48/2.14  tff(f36313,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT)] : (? [X5 : vEBT_VEBT] : (? [X6 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X5),X6)) & member(vEBT_VEBT,X5,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) => (? [X6 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK1688(X0)),X6)) & member(vEBT_VEBT,sK1688(X0),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))))),
% 8.48/2.14    introduced(choice_axiom,[])).
% 8.48/2.14  tff(f36314,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT)] : (? [X6 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK1688(X0)),X6)) => ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK1688(X0)),sK1689(X0))))),
% 8.48/2.14    introduced(choice_axiom,[])).
% 8.48/2.14  tff(f36315,plain,(
% 8.48/2.14    ! [X1 : vEBT_VEBT] : (? [X7 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X7)) => ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),sK1690(X1))))),
% 8.48/2.14    introduced(choice_axiom,[])).
% 8.48/2.14  tff(f36312,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (((! [X2 : vEBT_VEBT] : (! [X3 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) | ~member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & ! [X4 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) | ($true != bG555(X0,X1))) & (($true = bG555(X0,X1)) | ? [X5 : vEBT_VEBT] : (? [X6 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X5),X6)) & member(vEBT_VEBT,X5,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) | ? [X7 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X7))))),
% 8.48/2.14    inference(rectify,[],[f36311])).
% 8.48/2.14  tff(f36311,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (((! [X2 : vEBT_VEBT] : (! [X3 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) | ~member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & ! [X4 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) | ($true != bG555(X0,X1))) & (($true = bG555(X0,X1)) | ? [X2 : vEBT_VEBT] : (? [X3 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) & member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) | ? [X4 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))))),
% 8.48/2.14    inference(flattening,[],[f36310])).
% 8.48/2.14  tff(f36310,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (((! [X2 : vEBT_VEBT] : (! [X3 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) | ~member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & ! [X4 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) | ($true != bG555(X0,X1))) & (($true = bG555(X0,X1)) | (? [X2 : vEBT_VEBT] : (? [X3 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) & member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) | ? [X4 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4)))))),
% 8.48/2.14    inference(nnf_transformation,[],[f26121])).
% 8.48/2.14  tff(f26121,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : ((! [X2 : vEBT_VEBT] : (! [X3 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) | ~member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & ! [X4 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) <=> ($true = bG555(X0,X1)))),
% 8.48/2.14    inference(ennf_transformation,[],[f20391])).
% 8.48/2.14  tff(f20391,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : ((! [X2 : vEBT_VEBT] : (member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0)) => ~? [X3 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3))) & ~? [X4 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) <=> ($true = bG555(X0,X1)))),
% 8.48/2.14    inference(rectify,[],[f15208])).
% 8.48/2.14  tff(f15208,plain,(
% 8.48/2.14    ! [X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : ((! [X8 : vEBT_VEBT] : (member(vEBT_VEBT,X8,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X6)) => ~? [X9 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X8),X9))) & ~? [X10 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X7),X10))) <=> ($true = bG555(X6,X7)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG555])])).
% 8.48/2.14  tff(f44720,plain,(
% 8.48/2.14    ( ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (($true = bG555(X0,X1)) | ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK1688(X0)),sK1689(X0))) | ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),sK1690(X1)))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36316])).
% 8.48/2.14  tff(f44721,plain,(
% 8.48/2.14    ( ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT,X4 : nat] : (($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4)) | ($true != bG555(X0,X1))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36316])).
% 8.48/2.14  tff(f44722,plain,(
% 8.48/2.14    ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) | ~member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0)) | ($true != bG555(X0,X1))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36316])).
% 8.48/2.14  tff(f61413,plain,(
% 8.48/2.14    ($true = bG556($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44717])).
% 8.48/2.14  tff(f44717,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG556(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36309])).
% 8.48/2.14  tff(f36309,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG556(X0))) & (($true = bG556(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20390])).
% 8.48/2.14  tff(f20390,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG556(X0)))),
% 8.48/2.14    inference(rectify,[],[f15211])).
% 8.48/2.14  tff(f15211,plain,(
% 8.48/2.14    ! [X2 : $o] : (($true = X2) <=> ($true = bG556(X2)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG556])])).
% 8.48/2.14  tff(f44718,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG556(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36309])).
% 8.48/2.14  tff(f61412,plain,(
% 8.48/2.14    ($true = bG557($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44715])).
% 8.48/2.14  tff(f44715,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG557(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36308])).
% 8.48/2.14  tff(f36308,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG557(X0))) & (($true = bG557(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20389])).
% 8.48/2.14  tff(f20389,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG557(X0)))),
% 8.48/2.14    inference(rectify,[],[f15212])).
% 8.48/2.14  tff(f15212,plain,(
% 8.48/2.14    ! [X3 : $o] : (($true = X3) <=> ($true = bG557(X3)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG557])])).
% 8.48/2.14  tff(f44716,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG557(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36308])).
% 8.48/2.14  tff(f61410,plain,(
% 8.48/2.14    iG558(one_one(nat),$true)),
% 8.48/2.14    inference(equality_resolution,[],[f61409])).
% 8.48/2.14  tff(f61409,plain,(
% 8.48/2.14    ( ! [X2 : nat] : (iG558(X2,$true) | one_one(nat) != X2) )),
% 8.48/2.14    inference(equality_resolution,[],[f44713])).
% 8.48/2.14  tff(f44713,plain,(
% 8.48/2.14    ( ! [X2 : nat,X3 : $o] : (iG558(X2,X3) | ($true != X3) | one_one(nat) != X2) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36307])).
% 8.48/2.14  tff(f36307,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : $o] : (~iG558(X0,X1) | one_one(nat) = X0) & ! [X2 : nat,X3 : $o] : (((iG558(X2,X3) | ($true != X3)) & (($true = X3) | ~iG558(X2,X3))) | one_one(nat) != X2)),
% 8.48/2.14    inference(nnf_transformation,[],[f26120])).
% 8.48/2.14  tff(f26120,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : $o] : (~iG558(X0,X1) | one_one(nat) = X0) & ! [X2 : nat,X3 : $o] : ((iG558(X2,X3) <=> ($true = X3)) | one_one(nat) != X2)),
% 8.48/2.14    inference(ennf_transformation,[],[f20388])).
% 8.48/2.14  tff(f20388,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : $o] : (one_one(nat) != X0 => ~iG558(X0,X1)) & ! [X2 : nat,X3 : $o] : (one_one(nat) = X2 => (iG558(X2,X3) <=> ($true = X3)))),
% 8.48/2.14    inference(flattening,[],[f20387])).
% 8.48/2.14  tff(f20387,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : $o] : (~one_one(nat) = X0 => ~iG558(X0,X1)) & ! [X2 : nat,X3 : $o] : (one_one(nat) = X2 => (iG558(X2,X3) <=> ($true = X3)))),
% 8.48/2.14    inference(true_and_false_elimination,[],[f20386])).
% 8.48/2.14  tff(f20386,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : $o] : (~one_one(nat) = X0 => (iG558(X0,X1) <=> $false)) & ! [X2 : nat,X3 : $o] : (one_one(nat) = X2 => (iG558(X2,X3) <=> ($true = X3)))),
% 8.48/2.14    inference(rectify,[],[f15213])).
% 8.48/2.14  tff(f15213,plain,(
% 8.48/2.14    ! [X1 : nat,X3 : $o] : (~one_one(nat) = X1 => (iG558(X1,X3) <=> $false)) & ! [X1 : nat,X3 : $o] : (one_one(nat) = X1 => (iG558(X1,X3) <=> ($true = X3)))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG558])])).
% 8.48/2.14  tff(f61407,plain,(
% 8.48/2.14    ( ! [X4 : $o] : (iG559(zero_zero(nat),X4,$true)) )),
% 8.48/2.14    inference(equality_resolution,[],[f61406])).
% 8.48/2.14  tff(f61406,plain,(
% 8.48/2.14    ( ! [X3 : nat,X4 : $o] : (iG559(X3,X4,$true) | zero_zero(nat) != X3) )),
% 8.48/2.14    inference(equality_resolution,[],[f44709])).
% 8.48/2.14  tff(f44709,plain,(
% 8.48/2.14    ( ! [X3 : nat,X4 : $o,X5 : $o] : (iG559(X3,X4,X5) | ($true != X5) | zero_zero(nat) != X3) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36306])).
% 8.48/2.14  tff(f36306,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : $o,X2 : $o] : (((iG559(X0,X1,X2) | ~iG558(X0,X1)) & (iG558(X0,X1) | ~iG559(X0,X1,X2))) | zero_zero(nat) = X0) & ! [X3 : nat,X4 : $o,X5 : $o] : (((iG559(X3,X4,X5) | ($true != X5)) & (($true = X5) | ~iG559(X3,X4,X5))) | zero_zero(nat) != X3)),
% 8.48/2.14    inference(nnf_transformation,[],[f26119])).
% 8.48/2.14  tff(f26119,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : $o,X2 : $o] : ((iG559(X0,X1,X2) <=> iG558(X0,X1)) | zero_zero(nat) = X0) & ! [X3 : nat,X4 : $o,X5 : $o] : ((iG559(X3,X4,X5) <=> ($true = X5)) | zero_zero(nat) != X3)),
% 8.48/2.14    inference(ennf_transformation,[],[f20385])).
% 8.48/2.14  tff(f20385,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : $o,X2 : $o] : (zero_zero(nat) != X0 => (iG559(X0,X1,X2) <=> iG558(X0,X1))) & ! [X3 : nat,X4 : $o,X5 : $o] : (zero_zero(nat) = X3 => (iG559(X3,X4,X5) <=> ($true = X5)))),
% 8.48/2.14    inference(flattening,[],[f20384])).
% 8.48/2.14  tff(f20384,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : $o,X2 : $o] : (~zero_zero(nat) = X0 => (iG559(X0,X1,X2) <=> iG558(X0,X1))) & ! [X3 : nat,X4 : $o,X5 : $o] : (zero_zero(nat) = X3 => (iG559(X3,X4,X5) <=> ($true = X5)))),
% 8.48/2.14    inference(rectify,[],[f15214])).
% 8.48/2.14  tff(f15214,plain,(
% 8.48/2.14    ! [X1 : nat,X3 : $o,X2 : $o] : (~zero_zero(nat) = X1 => (iG559(X1,X3,X2) <=> iG558(X1,X3))) & ! [X1 : nat,X3 : $o,X2 : $o] : (zero_zero(nat) = X1 => (iG559(X1,X3,X2) <=> ($true = X2)))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG559])])).
% 8.48/2.14  tff(f44711,plain,(
% 8.48/2.14    ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG559(X0,X1,X2) | ~iG558(X0,X1) | zero_zero(nat) = X0) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36306])).
% 8.48/2.14  tff(f44707,plain,(
% 8.48/2.14    ( ! [X0 : nat,X1 : nat] : (vEBT_VEBT_high(X0,divide_divide(nat,aa(nat,nat,suc,X1),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG560(X0,X1)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f20383])).
% 8.48/2.14  tff(f20383,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : vEBT_VEBT_high(X0,divide_divide(nat,aa(nat,nat,suc,X1),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG560(X0,X1)),
% 8.48/2.14    inference(rectify,[],[f15215])).
% 8.48/2.14  tff(f15215,plain,(
% 8.48/2.14    ! [X1 : nat,X8 : nat] : vEBT_VEBT_high(X1,divide_divide(nat,aa(nat,nat,suc,X8),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG560(X1,X8)),
% 8.48/2.14    introduced(fool_let_definition,[new_symbols(definition,[lG560])])).
% 8.48/2.14  tff(f44705,plain,(
% 8.48/2.14    ( ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (iG561(X3,X4,X5) | ~vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG560(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG560(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3)))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36305])).
% 8.48/2.14  tff(f36305,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~iG561(X0,X1,X2) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG560(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (((iG561(X3,X4,X5) | ~vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG560(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) & (vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG560(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) | ~iG561(X3,X4,X5))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG560(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))),
% 8.48/2.14    inference(nnf_transformation,[],[f26118])).
% 8.48/2.14  tff(f26118,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~iG561(X0,X1,X2) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG560(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : ((iG561(X3,X4,X5) <=> vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG560(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG560(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))),
% 8.48/2.14    inference(ennf_transformation,[],[f20382])).
% 8.48/2.14  tff(f20382,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG560(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => ~iG561(X0,X1,X2)) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG560(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (iG561(X3,X4,X5) <=> vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG560(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.14    inference(flattening,[],[f20381])).
% 8.48/2.14  tff(f20381,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG560(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => ~iG561(X0,X1,X2)) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG560(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (iG561(X3,X4,X5) <=> vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG560(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.14    inference(true_and_false_elimination,[],[f20380])).
% 8.48/2.14  tff(f20380,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG560(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => (iG561(X0,X1,X2) <=> $false)) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG560(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (iG561(X3,X4,X5) <=> vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG560(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.14    inference(rectify,[],[f15216])).
% 8.48/2.14  tff(f15216,plain,(
% 8.48/2.14    ! [X9 : list(vEBT_VEBT),X8 : nat,X1 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG560(X1,X8)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X9))) => (iG561(X9,X8,X1) <=> $false)) & ! [X9 : list(vEBT_VEBT),X8 : nat,X1 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG560(X1,X8)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X9))) => (iG561(X9,X8,X1) <=> vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X9),lG560(X1,X8)),vEBT_VEBT_low(X1,divide_divide(nat,aa(nat,nat,suc,X8),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG561])])).
% 8.48/2.14  tff(f61405,plain,(
% 8.48/2.14    ($true = bG562($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44702])).
% 8.48/2.14  tff(f44702,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG562(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36304])).
% 8.48/2.14  tff(f36304,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG562(X0))) & (($true = bG562(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20379])).
% 8.48/2.14  tff(f20379,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG562(X0)))),
% 8.48/2.14    inference(rectify,[],[f15219])).
% 8.48/2.14  tff(f15219,plain,(
% 8.48/2.14    ! [X2 : $o] : (($true = X2) <=> ($true = bG562(X2)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG562])])).
% 8.48/2.14  tff(f44703,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG562(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36304])).
% 8.48/2.14  tff(f61404,plain,(
% 8.48/2.14    ($true = bG563($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44700])).
% 8.48/2.14  tff(f44700,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG563(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36303])).
% 8.48/2.14  tff(f36303,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG563(X0))) & (($true = bG563(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20378])).
% 8.48/2.14  tff(f20378,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG563(X0)))),
% 8.48/2.14    inference(rectify,[],[f15220])).
% 8.48/2.14  tff(f15220,plain,(
% 8.48/2.14    ! [X3 : $o] : (($true = X3) <=> ($true = bG563(X3)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG563])])).
% 8.48/2.14  tff(f44701,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG563(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36303])).
% 8.48/2.14  tff(f61403,plain,(
% 8.48/2.14    ($true = bG564($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44698])).
% 8.48/2.14  tff(f44698,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG564(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36302])).
% 8.48/2.14  tff(f36302,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG564(X0))) & (($true = bG564(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20377])).
% 8.48/2.14  tff(f20377,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG564(X0)))),
% 8.48/2.14    inference(rectify,[],[f15221])).
% 8.48/2.14  tff(f15221,plain,(
% 8.48/2.14    ! [X2 : $o] : (($true = X2) <=> ($true = bG564(X2)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG564])])).
% 8.48/2.14  tff(f44699,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG564(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36302])).
% 8.48/2.14  tff(f61402,plain,(
% 8.48/2.14    ($true = bG565($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44696])).
% 8.48/2.14  tff(f44696,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG565(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36301])).
% 8.48/2.14  tff(f36301,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG565(X0))) & (($true = bG565(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20376])).
% 8.48/2.14  tff(f20376,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG565(X0)))),
% 8.48/2.14    inference(rectify,[],[f15222])).
% 8.48/2.14  tff(f15222,plain,(
% 8.48/2.14    ! [X3 : $o] : (($true = X3) <=> ($true = bG565(X3)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG565])])).
% 8.48/2.14  tff(f44697,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG565(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36301])).
% 8.48/2.14  tff(f61400,plain,(
% 8.48/2.14    iG566(one_one(nat),$true)),
% 8.48/2.14    inference(equality_resolution,[],[f61399])).
% 8.48/2.14  tff(f61399,plain,(
% 8.48/2.14    ( ! [X2 : nat] : (iG566(X2,$true) | one_one(nat) != X2) )),
% 8.48/2.14    inference(equality_resolution,[],[f44694])).
% 8.48/2.14  tff(f44694,plain,(
% 8.48/2.14    ( ! [X2 : nat,X3 : $o] : (iG566(X2,X3) | ($true != X3) | one_one(nat) != X2) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36300])).
% 8.48/2.14  tff(f36300,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : $o] : (~iG566(X0,X1) | one_one(nat) = X0) & ! [X2 : nat,X3 : $o] : (((iG566(X2,X3) | ($true != X3)) & (($true = X3) | ~iG566(X2,X3))) | one_one(nat) != X2)),
% 8.48/2.14    inference(nnf_transformation,[],[f26117])).
% 8.48/2.14  tff(f26117,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : $o] : (~iG566(X0,X1) | one_one(nat) = X0) & ! [X2 : nat,X3 : $o] : ((iG566(X2,X3) <=> ($true = X3)) | one_one(nat) != X2)),
% 8.48/2.14    inference(ennf_transformation,[],[f20375])).
% 8.48/2.14  tff(f20375,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : $o] : (one_one(nat) != X0 => ~iG566(X0,X1)) & ! [X2 : nat,X3 : $o] : (one_one(nat) = X2 => (iG566(X2,X3) <=> ($true = X3)))),
% 8.48/2.14    inference(flattening,[],[f20374])).
% 8.48/2.14  tff(f20374,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : $o] : (~one_one(nat) = X0 => ~iG566(X0,X1)) & ! [X2 : nat,X3 : $o] : (one_one(nat) = X2 => (iG566(X2,X3) <=> ($true = X3)))),
% 8.48/2.14    inference(true_and_false_elimination,[],[f20373])).
% 8.48/2.14  tff(f20373,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : $o] : (~one_one(nat) = X0 => (iG566(X0,X1) <=> $false)) & ! [X2 : nat,X3 : $o] : (one_one(nat) = X2 => (iG566(X2,X3) <=> ($true = X3)))),
% 8.48/2.14    inference(rectify,[],[f15223])).
% 8.48/2.14  tff(f15223,plain,(
% 8.48/2.14    ! [X1 : nat,X3 : $o] : (~one_one(nat) = X1 => (iG566(X1,X3) <=> $false)) & ! [X1 : nat,X3 : $o] : (one_one(nat) = X1 => (iG566(X1,X3) <=> ($true = X3)))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG566])])).
% 8.48/2.14  tff(f61397,plain,(
% 8.48/2.14    ( ! [X4 : $o] : (iG567(zero_zero(nat),X4,$true)) )),
% 8.48/2.14    inference(equality_resolution,[],[f61396])).
% 8.48/2.14  tff(f61396,plain,(
% 8.48/2.14    ( ! [X3 : nat,X4 : $o] : (iG567(X3,X4,$true) | zero_zero(nat) != X3) )),
% 8.48/2.14    inference(equality_resolution,[],[f44690])).
% 8.48/2.14  tff(f44690,plain,(
% 8.48/2.14    ( ! [X3 : nat,X4 : $o,X5 : $o] : (iG567(X3,X4,X5) | ($true != X5) | zero_zero(nat) != X3) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36299])).
% 8.48/2.14  tff(f36299,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : $o,X2 : $o] : (((iG567(X0,X1,X2) | ~iG566(X0,X1)) & (iG566(X0,X1) | ~iG567(X0,X1,X2))) | zero_zero(nat) = X0) & ! [X3 : nat,X4 : $o,X5 : $o] : (((iG567(X3,X4,X5) | ($true != X5)) & (($true = X5) | ~iG567(X3,X4,X5))) | zero_zero(nat) != X3)),
% 8.48/2.14    inference(nnf_transformation,[],[f26116])).
% 8.48/2.14  tff(f26116,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : $o,X2 : $o] : ((iG567(X0,X1,X2) <=> iG566(X0,X1)) | zero_zero(nat) = X0) & ! [X3 : nat,X4 : $o,X5 : $o] : ((iG567(X3,X4,X5) <=> ($true = X5)) | zero_zero(nat) != X3)),
% 8.48/2.14    inference(ennf_transformation,[],[f20372])).
% 8.48/2.14  tff(f20372,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : $o,X2 : $o] : (zero_zero(nat) != X0 => (iG567(X0,X1,X2) <=> iG566(X0,X1))) & ! [X3 : nat,X4 : $o,X5 : $o] : (zero_zero(nat) = X3 => (iG567(X3,X4,X5) <=> ($true = X5)))),
% 8.48/2.14    inference(flattening,[],[f20371])).
% 8.48/2.14  tff(f20371,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : $o,X2 : $o] : (~zero_zero(nat) = X0 => (iG567(X0,X1,X2) <=> iG566(X0,X1))) & ! [X3 : nat,X4 : $o,X5 : $o] : (zero_zero(nat) = X3 => (iG567(X3,X4,X5) <=> ($true = X5)))),
% 8.48/2.14    inference(rectify,[],[f15224])).
% 8.48/2.14  tff(f15224,plain,(
% 8.48/2.14    ! [X1 : nat,X3 : $o,X2 : $o] : (~zero_zero(nat) = X1 => (iG567(X1,X3,X2) <=> iG566(X1,X3))) & ! [X1 : nat,X3 : $o,X2 : $o] : (zero_zero(nat) = X1 => (iG567(X1,X3,X2) <=> ($true = X2)))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG567])])).
% 8.48/2.14  tff(f44692,plain,(
% 8.48/2.14    ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG567(X0,X1,X2) | ~iG566(X0,X1) | zero_zero(nat) = X0) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36299])).
% 8.48/2.14  tff(f44688,plain,(
% 8.48/2.14    ( ! [X0 : nat,X1 : nat] : (vEBT_VEBT_high(X0,divide_divide(nat,aa(nat,nat,suc,X1),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG568(X0,X1)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f20370])).
% 8.48/2.14  tff(f20370,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : vEBT_VEBT_high(X0,divide_divide(nat,aa(nat,nat,suc,X1),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG568(X0,X1)),
% 8.48/2.14    inference(rectify,[],[f15225])).
% 8.48/2.14  tff(f15225,plain,(
% 8.48/2.14    ! [X1 : nat,X8 : nat] : vEBT_VEBT_high(X1,divide_divide(nat,aa(nat,nat,suc,X8),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG568(X1,X8)),
% 8.48/2.14    introduced(fool_let_definition,[new_symbols(definition,[lG568])])).
% 8.48/2.14  tff(f44686,plain,(
% 8.48/2.14    ( ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (iG569(X3,X4,X5) | ~vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG568(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG568(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3)))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36298])).
% 8.48/2.14  tff(f36298,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~iG569(X0,X1,X2) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG568(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (((iG569(X3,X4,X5) | ~vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG568(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) & (vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG568(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) | ~iG569(X3,X4,X5))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG568(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))),
% 8.48/2.14    inference(nnf_transformation,[],[f26115])).
% 8.48/2.14  tff(f26115,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~iG569(X0,X1,X2) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG568(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : ((iG569(X3,X4,X5) <=> vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG568(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG568(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))),
% 8.48/2.14    inference(ennf_transformation,[],[f20369])).
% 8.48/2.14  tff(f20369,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG568(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => ~iG569(X0,X1,X2)) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG568(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (iG569(X3,X4,X5) <=> vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG568(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.14    inference(flattening,[],[f20368])).
% 8.48/2.14  tff(f20368,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG568(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => ~iG569(X0,X1,X2)) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG568(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (iG569(X3,X4,X5) <=> vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG568(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.14    inference(true_and_false_elimination,[],[f20367])).
% 8.48/2.14  tff(f20367,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG568(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => (iG569(X0,X1,X2) <=> $false)) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG568(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (iG569(X3,X4,X5) <=> vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG568(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.14    inference(rectify,[],[f15226])).
% 8.48/2.14  tff(f15226,plain,(
% 8.48/2.14    ! [X9 : list(vEBT_VEBT),X8 : nat,X1 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG568(X1,X8)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X9))) => (iG569(X9,X8,X1) <=> $false)) & ! [X9 : list(vEBT_VEBT),X8 : nat,X1 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG568(X1,X8)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X9))) => (iG569(X9,X8,X1) <=> vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X9),lG568(X1,X8)),vEBT_VEBT_low(X1,divide_divide(nat,aa(nat,nat,suc,X8),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG569])])).
% 8.48/2.14  tff(f61395,plain,(
% 8.48/2.14    ($true = bG570($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44683])).
% 8.48/2.14  tff(f44683,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG570(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36297])).
% 8.48/2.14  tff(f36297,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG570(X0))) & (($true = bG570(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20366])).
% 8.48/2.14  tff(f20366,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG570(X0)))),
% 8.48/2.14    inference(rectify,[],[f15229])).
% 8.48/2.14  tff(f15229,plain,(
% 8.48/2.14    ! [X2 : $o] : (($true = X2) <=> ($true = bG570(X2)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG570])])).
% 8.48/2.14  tff(f44684,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG570(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36297])).
% 8.48/2.14  tff(f61394,plain,(
% 8.48/2.14    ($true = bG571($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44681])).
% 8.48/2.14  tff(f44681,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG571(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36296])).
% 8.48/2.14  tff(f36296,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG571(X0))) & (($true = bG571(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20365])).
% 8.48/2.14  tff(f20365,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG571(X0)))),
% 8.48/2.14    inference(rectify,[],[f15230])).
% 8.48/2.14  tff(f15230,plain,(
% 8.48/2.14    ! [X3 : $o] : (($true = X3) <=> ($true = bG571(X3)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG571])])).
% 8.48/2.14  tff(f44682,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG571(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36296])).
% 8.48/2.14  tff(f44680,plain,(
% 8.48/2.14    ( ! [X0 : nat,X1 : nat] : (vEBT_VEBT_high(X0,divide_divide(nat,aa(nat,nat,suc,X1),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG572(X0,X1)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f20364])).
% 8.48/2.14  tff(f20364,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : vEBT_VEBT_high(X0,divide_divide(nat,aa(nat,nat,suc,X1),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG572(X0,X1)),
% 8.48/2.14    inference(rectify,[],[f15231])).
% 8.48/2.14  tff(f15231,plain,(
% 8.48/2.14    ! [X1 : nat,X12 : nat] : vEBT_VEBT_high(X1,divide_divide(nat,aa(nat,nat,suc,X12),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG572(X1,X12)),
% 8.48/2.14    introduced(fool_let_definition,[new_symbols(definition,[lG572])])).
% 8.48/2.14  tff(f44678,plain,(
% 8.48/2.14    ( ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (iG573(X3,X4,X5) | ~vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG572(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG572(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3)))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36295])).
% 8.48/2.14  tff(f36295,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~iG573(X0,X1,X2) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG572(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (((iG573(X3,X4,X5) | ~vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG572(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) & (vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG572(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) | ~iG573(X3,X4,X5))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG572(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))),
% 8.48/2.14    inference(nnf_transformation,[],[f26114])).
% 8.48/2.14  tff(f26114,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~iG573(X0,X1,X2) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG572(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : ((iG573(X3,X4,X5) <=> vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG572(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG572(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))),
% 8.48/2.14    inference(ennf_transformation,[],[f20363])).
% 8.48/2.14  tff(f20363,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG572(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => ~iG573(X0,X1,X2)) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG572(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (iG573(X3,X4,X5) <=> vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG572(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.14    inference(flattening,[],[f20362])).
% 8.48/2.14  tff(f20362,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG572(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => ~iG573(X0,X1,X2)) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG572(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (iG573(X3,X4,X5) <=> vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG572(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.14    inference(true_and_false_elimination,[],[f20361])).
% 8.48/2.14  tff(f20361,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG572(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => (iG573(X0,X1,X2) <=> $false)) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG572(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (iG573(X3,X4,X5) <=> vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG572(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.14    inference(rectify,[],[f15232])).
% 8.48/2.14  tff(f15232,plain,(
% 8.48/2.14    ! [X13 : list(vEBT_VEBT),X12 : nat,X1 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG572(X1,X12)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X13))) => (iG573(X13,X12,X1) <=> $false)) & ! [X13 : list(vEBT_VEBT),X12 : nat,X1 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG572(X1,X12)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X13))) => (iG573(X13,X12,X1) <=> vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X13),lG572(X1,X12)),vEBT_VEBT_low(X1,divide_divide(nat,aa(nat,nat,suc,X12),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG573])])).
% 8.48/2.14  tff(f44676,plain,(
% 8.48/2.14    ( ! [X0 : nat,X1 : nat] : (vEBT_VEBT_high(X0,divide_divide(nat,aa(nat,nat,suc,X1),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG574(X0,X1)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f20360])).
% 8.48/2.14  tff(f20360,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : vEBT_VEBT_high(X0,divide_divide(nat,aa(nat,nat,suc,X1),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG574(X0,X1)),
% 8.48/2.14    inference(rectify,[],[f15233])).
% 8.48/2.14  tff(f15233,plain,(
% 8.48/2.14    ! [X1 : nat,X15 : nat] : vEBT_VEBT_high(X1,divide_divide(nat,aa(nat,nat,suc,X15),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG574(X1,X15)),
% 8.48/2.14    introduced(fool_let_definition,[new_symbols(definition,[lG574])])).
% 8.48/2.14  tff(f44674,plain,(
% 8.48/2.14    ( ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (iG575(X3,X4,X5) | ~vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG574(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG574(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3)))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36294])).
% 8.48/2.14  tff(f36294,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~iG575(X0,X1,X2) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG574(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (((iG575(X3,X4,X5) | ~vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG574(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) & (vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG574(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) | ~iG575(X3,X4,X5))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG574(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))),
% 8.48/2.14    inference(nnf_transformation,[],[f26113])).
% 8.48/2.14  tff(f26113,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~iG575(X0,X1,X2) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG574(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : ((iG575(X3,X4,X5) <=> vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG574(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG574(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))),
% 8.48/2.14    inference(ennf_transformation,[],[f20359])).
% 8.48/2.14  tff(f20359,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG574(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => ~iG575(X0,X1,X2)) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG574(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (iG575(X3,X4,X5) <=> vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG574(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.14    inference(flattening,[],[f20358])).
% 8.48/2.14  tff(f20358,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG574(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => ~iG575(X0,X1,X2)) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG574(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (iG575(X3,X4,X5) <=> vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG574(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.14    inference(true_and_false_elimination,[],[f20357])).
% 8.48/2.14  tff(f20357,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG574(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => (iG575(X0,X1,X2) <=> $false)) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG574(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (iG575(X3,X4,X5) <=> vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG574(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.14    inference(rectify,[],[f15234])).
% 8.48/2.14  tff(f15234,plain,(
% 8.48/2.14    ! [X16 : list(vEBT_VEBT),X15 : nat,X1 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG574(X1,X15)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X16))) => (iG575(X16,X15,X1) <=> $false)) & ! [X16 : list(vEBT_VEBT),X15 : nat,X1 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG574(X1,X15)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X16))) => (iG575(X16,X15,X1) <=> vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X16),lG574(X1,X15)),vEBT_VEBT_low(X1,divide_divide(nat,aa(nat,nat,suc,X15),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG575])])).
% 8.48/2.14  tff(f61393,plain,(
% 8.48/2.14    ($true = bG576($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44671])).
% 8.48/2.14  tff(f44671,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG576(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36293])).
% 8.48/2.14  tff(f36293,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG576(X0))) & (($true = bG576(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20356])).
% 8.48/2.14  tff(f20356,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG576(X0)))),
% 8.48/2.14    inference(rectify,[],[f15237])).
% 8.48/2.14  tff(f15237,plain,(
% 8.48/2.14    ! [X2 : $o] : (($true = X2) <=> ($true = bG576(X2)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG576])])).
% 8.48/2.14  tff(f44672,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG576(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36293])).
% 8.48/2.14  tff(f61392,plain,(
% 8.48/2.14    ($true = bG577($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44669])).
% 8.48/2.14  tff(f44669,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG577(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36292])).
% 8.48/2.14  tff(f36292,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG577(X0))) & (($true = bG577(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20355])).
% 8.48/2.14  tff(f20355,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG577(X0)))),
% 8.48/2.14    inference(rectify,[],[f15238])).
% 8.48/2.14  tff(f15238,plain,(
% 8.48/2.14    ! [X3 : $o] : (($true = X3) <=> ($true = bG577(X3)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG577])])).
% 8.48/2.14  tff(f44670,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG577(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36292])).
% 8.48/2.14  tff(f61391,plain,(
% 8.48/2.14    ($true = bG578($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44667])).
% 8.48/2.14  tff(f44667,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG578(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36291])).
% 8.48/2.14  tff(f36291,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG578(X0))) & (($true = bG578(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20354])).
% 8.48/2.14  tff(f20354,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG578(X0)))),
% 8.48/2.14    inference(rectify,[],[f15239])).
% 8.48/2.14  tff(f15239,plain,(
% 8.48/2.14    ! [X2 : $o] : (($true = X2) <=> ($true = bG578(X2)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG578])])).
% 8.48/2.14  tff(f44668,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG578(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36291])).
% 8.48/2.14  tff(f61390,plain,(
% 8.48/2.14    ($true = bG579($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44665])).
% 8.48/2.14  tff(f44665,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG579(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36290])).
% 8.48/2.14  tff(f36290,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG579(X0))) & (($true = bG579(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20353])).
% 8.48/2.14  tff(f20353,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG579(X0)))),
% 8.48/2.14    inference(rectify,[],[f15240])).
% 8.48/2.14  tff(f15240,plain,(
% 8.48/2.14    ! [X3 : $o] : (($true = X3) <=> ($true = bG579(X3)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG579])])).
% 8.48/2.14  tff(f44666,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG579(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36290])).
% 8.48/2.14  tff(f44664,plain,(
% 8.48/2.14    ( ! [X0 : nat,X1 : nat] : (vEBT_VEBT_high(X0,divide_divide(nat,aa(nat,nat,suc,X1),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG580(X0,X1)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f20352])).
% 8.48/2.14  tff(f20352,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : vEBT_VEBT_high(X0,divide_divide(nat,aa(nat,nat,suc,X1),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG580(X0,X1)),
% 8.48/2.14    inference(rectify,[],[f15241])).
% 8.48/2.14  tff(f15241,plain,(
% 8.48/2.14    ! [X1 : nat,X12 : nat] : vEBT_VEBT_high(X1,divide_divide(nat,aa(nat,nat,suc,X12),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG580(X1,X12)),
% 8.48/2.14    introduced(fool_let_definition,[new_symbols(definition,[lG580])])).
% 8.48/2.14  tff(f44662,plain,(
% 8.48/2.14    ( ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (iG581(X3,X4,X5) | ~vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG580(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG580(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3)))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36289])).
% 8.48/2.14  tff(f36289,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~iG581(X0,X1,X2) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG580(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (((iG581(X3,X4,X5) | ~vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG580(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) & (vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG580(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) | ~iG581(X3,X4,X5))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG580(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))),
% 8.48/2.14    inference(nnf_transformation,[],[f26112])).
% 8.48/2.14  tff(f26112,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~iG581(X0,X1,X2) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG580(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : ((iG581(X3,X4,X5) <=> vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG580(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG580(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))),
% 8.48/2.14    inference(ennf_transformation,[],[f20351])).
% 8.48/2.14  tff(f20351,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG580(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => ~iG581(X0,X1,X2)) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG580(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (iG581(X3,X4,X5) <=> vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG580(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.14    inference(flattening,[],[f20350])).
% 8.48/2.14  tff(f20350,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG580(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => ~iG581(X0,X1,X2)) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG580(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (iG581(X3,X4,X5) <=> vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG580(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.14    inference(true_and_false_elimination,[],[f20349])).
% 8.48/2.14  tff(f20349,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG580(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => (iG581(X0,X1,X2) <=> $false)) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG580(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (iG581(X3,X4,X5) <=> vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG580(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.14    inference(rectify,[],[f15242])).
% 8.48/2.14  tff(f15242,plain,(
% 8.48/2.14    ! [X13 : list(vEBT_VEBT),X12 : nat,X1 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG580(X1,X12)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X13))) => (iG581(X13,X12,X1) <=> $false)) & ! [X13 : list(vEBT_VEBT),X12 : nat,X1 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG580(X1,X12)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X13))) => (iG581(X13,X12,X1) <=> vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X13),lG580(X1,X12)),vEBT_VEBT_low(X1,divide_divide(nat,aa(nat,nat,suc,X12),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG581])])).
% 8.48/2.14  tff(f44660,plain,(
% 8.48/2.14    ( ! [X0 : nat,X1 : nat] : (vEBT_VEBT_high(X0,divide_divide(nat,aa(nat,nat,suc,X1),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG582(X0,X1)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f20348])).
% 8.48/2.14  tff(f20348,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : vEBT_VEBT_high(X0,divide_divide(nat,aa(nat,nat,suc,X1),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG582(X0,X1)),
% 8.48/2.14    inference(rectify,[],[f15243])).
% 8.48/2.14  tff(f15243,plain,(
% 8.48/2.14    ! [X1 : nat,X15 : nat] : vEBT_VEBT_high(X1,divide_divide(nat,aa(nat,nat,suc,X15),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG582(X1,X15)),
% 8.48/2.14    introduced(fool_let_definition,[new_symbols(definition,[lG582])])).
% 8.48/2.14  tff(f44658,plain,(
% 8.48/2.14    ( ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (iG583(X3,X4,X5) | ~vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG582(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG582(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3)))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36288])).
% 8.48/2.14  tff(f36288,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~iG583(X0,X1,X2) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG582(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (((iG583(X3,X4,X5) | ~vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG582(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) & (vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG582(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) | ~iG583(X3,X4,X5))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG582(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))),
% 8.48/2.14    inference(nnf_transformation,[],[f26111])).
% 8.48/2.14  tff(f26111,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~iG583(X0,X1,X2) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG582(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : ((iG583(X3,X4,X5) <=> vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG582(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG582(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))),
% 8.48/2.14    inference(ennf_transformation,[],[f20347])).
% 8.48/2.14  tff(f20347,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG582(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => ~iG583(X0,X1,X2)) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG582(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (iG583(X3,X4,X5) <=> vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG582(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.14    inference(flattening,[],[f20346])).
% 8.48/2.14  tff(f20346,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG582(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => ~iG583(X0,X1,X2)) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG582(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (iG583(X3,X4,X5) <=> vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG582(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.14    inference(true_and_false_elimination,[],[f20345])).
% 8.48/2.14  tff(f20345,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG582(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => (iG583(X0,X1,X2) <=> $false)) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG582(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (iG583(X3,X4,X5) <=> vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG582(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.14    inference(rectify,[],[f15244])).
% 8.48/2.14  tff(f15244,plain,(
% 8.48/2.14    ! [X16 : list(vEBT_VEBT),X15 : nat,X1 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG582(X1,X15)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X16))) => (iG583(X16,X15,X1) <=> $false)) & ! [X16 : list(vEBT_VEBT),X15 : nat,X1 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG582(X1,X15)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X16))) => (iG583(X16,X15,X1) <=> vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X16),lG582(X1,X15)),vEBT_VEBT_low(X1,divide_divide(nat,aa(nat,nat,suc,X15),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG583])])).
% 8.48/2.14  tff(f61389,plain,(
% 8.48/2.14    ($true = bG584($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44655])).
% 8.48/2.14  tff(f44655,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG584(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36287])).
% 8.48/2.14  tff(f36287,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG584(X0))) & (($true = bG584(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20344])).
% 8.48/2.14  tff(f20344,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG584(X0)))),
% 8.48/2.14    inference(rectify,[],[f15253])).
% 8.48/2.14  tff(f15253,plain,(
% 8.48/2.14    ! [X2 : $o] : (($true = X2) <=> ($true = bG584(X2)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG584])])).
% 8.48/2.14  tff(f44656,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG584(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36287])).
% 8.48/2.14  tff(f61388,plain,(
% 8.48/2.14    ($true = bG585($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44653])).
% 8.48/2.14  tff(f44653,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG585(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36286])).
% 8.48/2.14  tff(f36286,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG585(X0))) & (($true = bG585(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20343])).
% 8.48/2.14  tff(f20343,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG585(X0)))),
% 8.48/2.14    inference(rectify,[],[f15254])).
% 8.48/2.14  tff(f15254,plain,(
% 8.48/2.14    ! [X3 : $o] : (($true = X3) <=> ($true = bG585(X3)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG585])])).
% 8.48/2.14  tff(f44654,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG585(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36286])).
% 8.48/2.14  tff(f44652,plain,(
% 8.48/2.14    ( ! [X0 : nat] : (divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))) = lG586(X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f20342])).
% 8.48/2.14  tff(f20342,plain,(
% 8.48/2.14    ! [X0 : nat] : divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))) = lG586(X0)),
% 8.48/2.14    inference(rectify,[],[f15255])).
% 8.48/2.14  tff(f15255,plain,(
% 8.48/2.14    ! [X5 : nat] : divide_divide(nat,X5,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))) = lG586(X5)),
% 8.48/2.14    introduced(fool_let_definition,[new_symbols(definition,[lG586])])).
% 8.48/2.14  tff(f44651,plain,(
% 8.48/2.14    ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),lG586(X0)) = lG587(X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f20341])).
% 8.48/2.14  tff(f20341,plain,(
% 8.48/2.14    ! [X0 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),lG586(X0)) = lG587(X0)),
% 8.48/2.14    inference(rectify,[],[f15256])).
% 8.48/2.14  tff(f15256,plain,(
% 8.48/2.14    ! [X5 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X5),lG586(X5)) = lG587(X5)),
% 8.48/2.14    introduced(fool_let_definition,[new_symbols(definition,[lG587])])).
% 8.48/2.14  tff(f44647,plain,(
% 8.48/2.14    ( ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (($true = bG588(X0,X1)) | member(vEBT_VEBT,sK1685(X0),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0)) | ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),sK1687(X1)))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36285])).
% 8.48/2.14  tff(f36285,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (((! [X2 : vEBT_VEBT] : (! [X3 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) | ~member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & ! [X4 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) | ($true != bG588(X0,X1))) & (($true = bG588(X0,X1)) | (($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK1685(X0)),sK1686(X0))) & member(vEBT_VEBT,sK1685(X0),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) | ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),sK1687(X1)))))),
% 8.48/2.14    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1685,sK1686,sK1687])],[f36281,f36284,f36283,f36282])).
% 8.48/2.14  tff(f36282,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT)] : (? [X5 : vEBT_VEBT] : (? [X6 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X5),X6)) & member(vEBT_VEBT,X5,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) => (? [X6 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK1685(X0)),X6)) & member(vEBT_VEBT,sK1685(X0),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))))),
% 8.48/2.14    introduced(choice_axiom,[])).
% 8.48/2.14  tff(f36283,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT)] : (? [X6 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK1685(X0)),X6)) => ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK1685(X0)),sK1686(X0))))),
% 8.48/2.14    introduced(choice_axiom,[])).
% 8.48/2.14  tff(f36284,plain,(
% 8.48/2.14    ! [X1 : vEBT_VEBT] : (? [X7 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X7)) => ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),sK1687(X1))))),
% 8.48/2.14    introduced(choice_axiom,[])).
% 8.48/2.14  tff(f36281,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (((! [X2 : vEBT_VEBT] : (! [X3 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) | ~member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & ! [X4 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) | ($true != bG588(X0,X1))) & (($true = bG588(X0,X1)) | ? [X5 : vEBT_VEBT] : (? [X6 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X5),X6)) & member(vEBT_VEBT,X5,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) | ? [X7 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X7))))),
% 8.48/2.14    inference(rectify,[],[f36280])).
% 8.48/2.14  tff(f36280,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (((! [X2 : vEBT_VEBT] : (! [X3 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) | ~member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & ! [X4 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) | ($true != bG588(X0,X1))) & (($true = bG588(X0,X1)) | ? [X2 : vEBT_VEBT] : (? [X3 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) & member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) | ? [X4 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))))),
% 8.48/2.14    inference(flattening,[],[f36279])).
% 8.48/2.14  tff(f36279,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (((! [X2 : vEBT_VEBT] : (! [X3 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) | ~member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & ! [X4 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) | ($true != bG588(X0,X1))) & (($true = bG588(X0,X1)) | (? [X2 : vEBT_VEBT] : (? [X3 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) & member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) | ? [X4 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4)))))),
% 8.48/2.14    inference(nnf_transformation,[],[f26110])).
% 8.48/2.14  tff(f26110,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : ((! [X2 : vEBT_VEBT] : (! [X3 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) | ~member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & ! [X4 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) <=> ($true = bG588(X0,X1)))),
% 8.48/2.14    inference(ennf_transformation,[],[f20340])).
% 8.48/2.14  tff(f20340,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : ((! [X2 : vEBT_VEBT] : (member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0)) => ~? [X3 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3))) & ~? [X4 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) <=> ($true = bG588(X0,X1)))),
% 8.48/2.14    inference(rectify,[],[f15257])).
% 8.48/2.14  tff(f15257,plain,(
% 8.48/2.14    ! [X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : ((! [X8 : vEBT_VEBT] : (member(vEBT_VEBT,X8,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X6)) => ~? [X9 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X8),X9))) & ~? [X10 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X7),X10))) <=> ($true = bG588(X6,X7)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG588])])).
% 8.48/2.14  tff(f44648,plain,(
% 8.48/2.14    ( ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (($true = bG588(X0,X1)) | ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK1685(X0)),sK1686(X0))) | ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),sK1687(X1)))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36285])).
% 8.48/2.14  tff(f44649,plain,(
% 8.48/2.14    ( ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT,X4 : nat] : (($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4)) | ($true != bG588(X0,X1))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36285])).
% 8.48/2.14  tff(f44650,plain,(
% 8.48/2.14    ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) | ~member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0)) | ($true != bG588(X0,X1))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36285])).
% 8.48/2.14  tff(f61387,plain,(
% 8.48/2.14    ($true = bG589($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44645])).
% 8.48/2.14  tff(f44645,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG589(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36278])).
% 8.48/2.14  tff(f36278,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG589(X0))) & (($true = bG589(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20339])).
% 8.48/2.14  tff(f20339,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG589(X0)))),
% 8.48/2.14    inference(rectify,[],[f15260])).
% 8.48/2.14  tff(f15260,plain,(
% 8.48/2.14    ! [X2 : $o] : (($true = X2) <=> ($true = bG589(X2)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG589])])).
% 8.48/2.14  tff(f44646,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG589(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36278])).
% 8.48/2.14  tff(f61386,plain,(
% 8.48/2.14    ($true = bG590($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44643])).
% 8.48/2.14  tff(f44643,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG590(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36277])).
% 8.48/2.14  tff(f36277,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG590(X0))) & (($true = bG590(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20338])).
% 8.48/2.14  tff(f20338,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG590(X0)))),
% 8.48/2.14    inference(rectify,[],[f15261])).
% 8.48/2.14  tff(f15261,plain,(
% 8.48/2.14    ! [X3 : $o] : (($true = X3) <=> ($true = bG590(X3)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG590])])).
% 8.48/2.14  tff(f44644,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG590(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36277])).
% 8.48/2.14  tff(f61385,plain,(
% 8.48/2.14    ($true = bG591($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44641])).
% 8.48/2.14  tff(f44641,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG591(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36276])).
% 8.48/2.14  tff(f36276,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG591(X0))) & (($true = bG591(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20337])).
% 8.48/2.14  tff(f20337,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG591(X0)))),
% 8.48/2.14    inference(rectify,[],[f15262])).
% 8.48/2.14  tff(f15262,plain,(
% 8.48/2.14    ! [X2 : $o] : (($true = X2) <=> ($true = bG591(X2)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG591])])).
% 8.48/2.14  tff(f44642,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG591(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36276])).
% 8.48/2.14  tff(f61384,plain,(
% 8.48/2.14    ($true = bG592($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44639])).
% 8.48/2.14  tff(f44639,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG592(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36275])).
% 8.48/2.14  tff(f36275,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG592(X0))) & (($true = bG592(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20336])).
% 8.48/2.14  tff(f20336,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG592(X0)))),
% 8.48/2.14    inference(rectify,[],[f15263])).
% 8.48/2.14  tff(f15263,plain,(
% 8.48/2.14    ! [X3 : $o] : (($true = X3) <=> ($true = bG592(X3)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG592])])).
% 8.48/2.14  tff(f44640,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG592(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36275])).
% 8.48/2.14  tff(f44638,plain,(
% 8.48/2.14    ( ! [X0 : nat] : (divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))) = lG593(X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f20335])).
% 8.48/2.14  tff(f20335,plain,(
% 8.48/2.14    ! [X0 : nat] : divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))) = lG593(X0)),
% 8.48/2.14    inference(rectify,[],[f15264])).
% 8.48/2.14  tff(f15264,plain,(
% 8.48/2.14    ! [X5 : nat] : divide_divide(nat,X5,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))) = lG593(X5)),
% 8.48/2.14    introduced(fool_let_definition,[new_symbols(definition,[lG593])])).
% 8.48/2.14  tff(f44637,plain,(
% 8.48/2.14    ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),lG593(X0)) = lG594(X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f20334])).
% 8.48/2.14  tff(f20334,plain,(
% 8.48/2.14    ! [X0 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),lG593(X0)) = lG594(X0)),
% 8.48/2.14    inference(rectify,[],[f15265])).
% 8.48/2.14  tff(f15265,plain,(
% 8.48/2.14    ! [X5 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X5),lG593(X5)) = lG594(X5)),
% 8.48/2.14    introduced(fool_let_definition,[new_symbols(definition,[lG594])])).
% 8.48/2.14  tff(f44633,plain,(
% 8.48/2.14    ( ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (($true = bG595(X0,X1)) | member(vEBT_VEBT,sK1682(X0),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0)) | ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),sK1684(X1)))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36274])).
% 8.48/2.14  tff(f36274,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (((! [X2 : vEBT_VEBT] : (! [X3 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) | ~member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & ! [X4 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) | ($true != bG595(X0,X1))) & (($true = bG595(X0,X1)) | (($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK1682(X0)),sK1683(X0))) & member(vEBT_VEBT,sK1682(X0),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) | ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),sK1684(X1)))))),
% 8.48/2.14    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1682,sK1683,sK1684])],[f36270,f36273,f36272,f36271])).
% 8.48/2.14  tff(f36271,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT)] : (? [X5 : vEBT_VEBT] : (? [X6 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X5),X6)) & member(vEBT_VEBT,X5,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) => (? [X6 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK1682(X0)),X6)) & member(vEBT_VEBT,sK1682(X0),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))))),
% 8.48/2.14    introduced(choice_axiom,[])).
% 8.48/2.14  tff(f36272,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT)] : (? [X6 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK1682(X0)),X6)) => ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK1682(X0)),sK1683(X0))))),
% 8.48/2.14    introduced(choice_axiom,[])).
% 8.48/2.14  tff(f36273,plain,(
% 8.48/2.14    ! [X1 : vEBT_VEBT] : (? [X7 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X7)) => ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),sK1684(X1))))),
% 8.48/2.14    introduced(choice_axiom,[])).
% 8.48/2.14  tff(f36270,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (((! [X2 : vEBT_VEBT] : (! [X3 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) | ~member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & ! [X4 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) | ($true != bG595(X0,X1))) & (($true = bG595(X0,X1)) | ? [X5 : vEBT_VEBT] : (? [X6 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X5),X6)) & member(vEBT_VEBT,X5,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) | ? [X7 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X7))))),
% 8.48/2.14    inference(rectify,[],[f36269])).
% 8.48/2.14  tff(f36269,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (((! [X2 : vEBT_VEBT] : (! [X3 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) | ~member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & ! [X4 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) | ($true != bG595(X0,X1))) & (($true = bG595(X0,X1)) | ? [X2 : vEBT_VEBT] : (? [X3 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) & member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) | ? [X4 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))))),
% 8.48/2.14    inference(flattening,[],[f36268])).
% 8.48/2.14  tff(f36268,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (((! [X2 : vEBT_VEBT] : (! [X3 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) | ~member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & ! [X4 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) | ($true != bG595(X0,X1))) & (($true = bG595(X0,X1)) | (? [X2 : vEBT_VEBT] : (? [X3 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) & member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) | ? [X4 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4)))))),
% 8.48/2.14    inference(nnf_transformation,[],[f26109])).
% 8.48/2.14  tff(f26109,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : ((! [X2 : vEBT_VEBT] : (! [X3 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) | ~member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & ! [X4 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) <=> ($true = bG595(X0,X1)))),
% 8.48/2.14    inference(ennf_transformation,[],[f20333])).
% 8.48/2.14  tff(f20333,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : ((! [X2 : vEBT_VEBT] : (member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0)) => ~? [X3 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3))) & ~? [X4 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) <=> ($true = bG595(X0,X1)))),
% 8.48/2.14    inference(rectify,[],[f15266])).
% 8.48/2.14  tff(f15266,plain,(
% 8.48/2.14    ! [X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : ((! [X8 : vEBT_VEBT] : (member(vEBT_VEBT,X8,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X6)) => ~? [X9 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X8),X9))) & ~? [X10 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X7),X10))) <=> ($true = bG595(X6,X7)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG595])])).
% 8.48/2.14  tff(f44634,plain,(
% 8.48/2.14    ( ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (($true = bG595(X0,X1)) | ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK1682(X0)),sK1683(X0))) | ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),sK1684(X1)))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36274])).
% 8.48/2.14  tff(f44635,plain,(
% 8.48/2.14    ( ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT,X4 : nat] : (($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4)) | ($true != bG595(X0,X1))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36274])).
% 8.48/2.14  tff(f44636,plain,(
% 8.48/2.14    ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) | ~member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0)) | ($true != bG595(X0,X1))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36274])).
% 8.48/2.14  tff(f61383,plain,(
% 8.48/2.14    ($true = bG596($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44631])).
% 8.48/2.14  tff(f44631,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG596(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36267])).
% 8.48/2.14  tff(f36267,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG596(X0))) & (($true = bG596(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20332])).
% 8.48/2.14  tff(f20332,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG596(X0)))),
% 8.48/2.14    inference(rectify,[],[f15269])).
% 8.48/2.14  tff(f15269,plain,(
% 8.48/2.14    ! [X2 : $o] : (($true = X2) <=> ($true = bG596(X2)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG596])])).
% 8.48/2.14  tff(f44632,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG596(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36267])).
% 8.48/2.14  tff(f61382,plain,(
% 8.48/2.14    ($true = bG597($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44629])).
% 8.48/2.14  tff(f44629,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG597(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36266])).
% 8.48/2.14  tff(f36266,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG597(X0))) & (($true = bG597(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20331])).
% 8.48/2.14  tff(f20331,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG597(X0)))),
% 8.48/2.14    inference(rectify,[],[f15270])).
% 8.48/2.14  tff(f15270,plain,(
% 8.48/2.14    ! [X3 : $o] : (($true = X3) <=> ($true = bG597(X3)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG597])])).
% 8.48/2.14  tff(f44630,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG597(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36266])).
% 8.48/2.14  tff(f61381,plain,(
% 8.48/2.14    ( ! [X3 : $o] : (($true = X3) | ~iG598(one_one(nat),X3)) )),
% 8.48/2.14    inference(equality_resolution,[],[f44626])).
% 8.48/2.14  tff(f44626,plain,(
% 8.48/2.14    ( ! [X2 : nat,X3 : $o] : (($true = X3) | ~iG598(X2,X3) | one_one(nat) != X2) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36265])).
% 8.48/2.14  tff(f36265,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : $o] : (~iG598(X0,X1) | one_one(nat) = X0) & ! [X2 : nat,X3 : $o] : (((iG598(X2,X3) | ($true != X3)) & (($true = X3) | ~iG598(X2,X3))) | one_one(nat) != X2)),
% 8.48/2.14    inference(nnf_transformation,[],[f26108])).
% 8.48/2.14  tff(f26108,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : $o] : (~iG598(X0,X1) | one_one(nat) = X0) & ! [X2 : nat,X3 : $o] : ((iG598(X2,X3) <=> ($true = X3)) | one_one(nat) != X2)),
% 8.48/2.14    inference(ennf_transformation,[],[f20330])).
% 8.48/2.14  tff(f20330,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : $o] : (one_one(nat) != X0 => ~iG598(X0,X1)) & ! [X2 : nat,X3 : $o] : (one_one(nat) = X2 => (iG598(X2,X3) <=> ($true = X3)))),
% 8.48/2.14    inference(flattening,[],[f20329])).
% 8.48/2.14  tff(f20329,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : $o] : (~one_one(nat) = X0 => ~iG598(X0,X1)) & ! [X2 : nat,X3 : $o] : (one_one(nat) = X2 => (iG598(X2,X3) <=> ($true = X3)))),
% 8.48/2.14    inference(true_and_false_elimination,[],[f20328])).
% 8.48/2.14  tff(f20328,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : $o] : (~one_one(nat) = X0 => (iG598(X0,X1) <=> $false)) & ! [X2 : nat,X3 : $o] : (one_one(nat) = X2 => (iG598(X2,X3) <=> ($true = X3)))),
% 8.48/2.14    inference(rectify,[],[f15271])).
% 8.48/2.14  tff(f15271,plain,(
% 8.48/2.14    ! [X1 : nat,X3 : $o] : (~one_one(nat) = X1 => (iG598(X1,X3) <=> $false)) & ! [X1 : nat,X3 : $o] : (one_one(nat) = X1 => (iG598(X1,X3) <=> ($true = X3)))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG598])])).
% 8.48/2.14  tff(f44628,plain,(
% 8.48/2.14    ( ! [X0 : nat,X1 : $o] : (~iG598(X0,X1) | one_one(nat) = X0) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36265])).
% 8.48/2.14  tff(f61378,plain,(
% 8.48/2.14    ( ! [X4 : $o,X5 : $o] : (($true = X5) | ~iG599(zero_zero(nat),X4,X5)) )),
% 8.48/2.14    inference(equality_resolution,[],[f44622])).
% 8.48/2.14  tff(f44622,plain,(
% 8.48/2.14    ( ! [X3 : nat,X4 : $o,X5 : $o] : (($true = X5) | ~iG599(X3,X4,X5) | zero_zero(nat) != X3) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36264])).
% 8.48/2.14  tff(f36264,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : $o,X2 : $o] : (((iG599(X0,X1,X2) | ~iG598(X0,X1)) & (iG598(X0,X1) | ~iG599(X0,X1,X2))) | zero_zero(nat) = X0) & ! [X3 : nat,X4 : $o,X5 : $o] : (((iG599(X3,X4,X5) | ($true != X5)) & (($true = X5) | ~iG599(X3,X4,X5))) | zero_zero(nat) != X3)),
% 8.48/2.14    inference(nnf_transformation,[],[f26107])).
% 8.48/2.14  tff(f26107,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : $o,X2 : $o] : ((iG599(X0,X1,X2) <=> iG598(X0,X1)) | zero_zero(nat) = X0) & ! [X3 : nat,X4 : $o,X5 : $o] : ((iG599(X3,X4,X5) <=> ($true = X5)) | zero_zero(nat) != X3)),
% 8.48/2.14    inference(ennf_transformation,[],[f20327])).
% 8.48/2.14  tff(f20327,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : $o,X2 : $o] : (zero_zero(nat) != X0 => (iG599(X0,X1,X2) <=> iG598(X0,X1))) & ! [X3 : nat,X4 : $o,X5 : $o] : (zero_zero(nat) = X3 => (iG599(X3,X4,X5) <=> ($true = X5)))),
% 8.48/2.14    inference(flattening,[],[f20326])).
% 8.48/2.14  tff(f20326,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : $o,X2 : $o] : (~zero_zero(nat) = X0 => (iG599(X0,X1,X2) <=> iG598(X0,X1))) & ! [X3 : nat,X4 : $o,X5 : $o] : (zero_zero(nat) = X3 => (iG599(X3,X4,X5) <=> ($true = X5)))),
% 8.48/2.14    inference(rectify,[],[f15272])).
% 8.48/2.14  tff(f15272,plain,(
% 8.48/2.14    ! [X1 : nat,X3 : $o,X2 : $o] : (~zero_zero(nat) = X1 => (iG599(X1,X3,X2) <=> iG598(X1,X3))) & ! [X1 : nat,X3 : $o,X2 : $o] : (zero_zero(nat) = X1 => (iG599(X1,X3,X2) <=> ($true = X2)))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG599])])).
% 8.48/2.14  tff(f44624,plain,(
% 8.48/2.14    ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG598(X0,X1) | ~iG599(X0,X1,X2) | zero_zero(nat) = X0) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36264])).
% 8.48/2.14  tff(f44621,plain,(
% 8.48/2.14    ( ! [X0 : nat,X1 : nat] : (vEBT_VEBT_high(X0,divide_divide(nat,aa(nat,nat,suc,X1),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG600(X0,X1)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f20325])).
% 8.48/2.14  tff(f20325,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : vEBT_VEBT_high(X0,divide_divide(nat,aa(nat,nat,suc,X1),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG600(X0,X1)),
% 8.48/2.14    inference(rectify,[],[f15273])).
% 8.48/2.14  tff(f15273,plain,(
% 8.48/2.14    ! [X1 : nat,X5 : nat] : vEBT_VEBT_high(X1,divide_divide(nat,aa(nat,nat,suc,X5),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG600(X1,X5)),
% 8.48/2.14    introduced(fool_let_definition,[new_symbols(definition,[lG600])])).
% 8.48/2.14  tff(f44618,plain,(
% 8.48/2.14    ( ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG600(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) | ~iG601(X3,X4,X5) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG600(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3)))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36263])).
% 8.48/2.14  tff(f36263,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~iG601(X0,X1,X2) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG600(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (((iG601(X3,X4,X5) | ~vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG600(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) & (vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG600(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) | ~iG601(X3,X4,X5))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG600(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))),
% 8.48/2.14    inference(nnf_transformation,[],[f26106])).
% 8.48/2.14  tff(f26106,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~iG601(X0,X1,X2) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG600(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : ((iG601(X3,X4,X5) <=> vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG600(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG600(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))),
% 8.48/2.14    inference(ennf_transformation,[],[f20324])).
% 8.48/2.14  tff(f20324,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG600(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => ~iG601(X0,X1,X2)) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG600(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (iG601(X3,X4,X5) <=> vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG600(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.14    inference(flattening,[],[f20323])).
% 8.48/2.14  tff(f20323,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG600(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => ~iG601(X0,X1,X2)) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG600(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (iG601(X3,X4,X5) <=> vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG600(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.14    inference(true_and_false_elimination,[],[f20322])).
% 8.48/2.14  tff(f20322,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG600(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => (iG601(X0,X1,X2) <=> $false)) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG600(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (iG601(X3,X4,X5) <=> vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG600(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.14    inference(rectify,[],[f15274])).
% 8.48/2.14  tff(f15274,plain,(
% 8.48/2.14    ! [X6 : list(vEBT_VEBT),X5 : nat,X1 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG600(X1,X5)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X6))) => (iG601(X6,X5,X1) <=> $false)) & ! [X6 : list(vEBT_VEBT),X5 : nat,X1 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG600(X1,X5)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X6))) => (iG601(X6,X5,X1) <=> vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X6),lG600(X1,X5)),vEBT_VEBT_low(X1,divide_divide(nat,aa(nat,nat,suc,X5),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG601])])).
% 8.48/2.14  tff(f44620,plain,(
% 8.48/2.14    ( ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (~iG601(X0,X1,X2) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG600(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36263])).
% 8.48/2.14  tff(f61375,plain,(
% 8.48/2.14    ($true = bG602($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44616])).
% 8.48/2.14  tff(f44616,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG602(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36262])).
% 8.48/2.14  tff(f36262,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG602(X0))) & (($true = bG602(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20321])).
% 8.48/2.14  tff(f20321,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG602(X0)))),
% 8.48/2.14    inference(rectify,[],[f15277])).
% 8.48/2.14  tff(f15277,plain,(
% 8.48/2.14    ! [X2 : $o] : (($true = X2) <=> ($true = bG602(X2)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG602])])).
% 8.48/2.14  tff(f44617,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG602(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36262])).
% 8.48/2.14  tff(f61374,plain,(
% 8.48/2.14    ($true = bG603($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44614])).
% 8.48/2.14  tff(f44614,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG603(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36261])).
% 8.48/2.14  tff(f36261,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG603(X0))) & (($true = bG603(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20320])).
% 8.48/2.14  tff(f20320,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG603(X0)))),
% 8.48/2.14    inference(rectify,[],[f15278])).
% 8.48/2.14  tff(f15278,plain,(
% 8.48/2.14    ! [X3 : $o] : (($true = X3) <=> ($true = bG603(X3)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG603])])).
% 8.48/2.14  tff(f44615,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG603(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36261])).
% 8.48/2.14  tff(f61373,plain,(
% 8.48/2.14    ($true = bG604($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44612])).
% 8.48/2.14  tff(f44612,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG604(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36260])).
% 8.48/2.14  tff(f36260,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG604(X0))) & (($true = bG604(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20319])).
% 8.48/2.14  tff(f20319,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG604(X0)))),
% 8.48/2.14    inference(rectify,[],[f15279])).
% 8.48/2.14  tff(f15279,plain,(
% 8.48/2.14    ! [X2 : $o] : (($true = X2) <=> ($true = bG604(X2)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG604])])).
% 8.48/2.14  tff(f44613,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG604(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36260])).
% 8.48/2.14  tff(f61372,plain,(
% 8.48/2.14    ($true = bG605($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44610])).
% 8.48/2.14  tff(f44610,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG605(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36259])).
% 8.48/2.14  tff(f36259,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG605(X0))) & (($true = bG605(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20318])).
% 8.48/2.14  tff(f20318,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG605(X0)))),
% 8.48/2.14    inference(rectify,[],[f15280])).
% 8.48/2.14  tff(f15280,plain,(
% 8.48/2.14    ! [X3 : $o] : (($true = X3) <=> ($true = bG605(X3)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG605])])).
% 8.48/2.14  tff(f44611,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG605(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36259])).
% 8.48/2.14  tff(f61371,plain,(
% 8.48/2.14    ( ! [X3 : $o] : (($true = X3) | ~iG606(one_one(nat),X3)) )),
% 8.48/2.14    inference(equality_resolution,[],[f44607])).
% 8.48/2.14  tff(f44607,plain,(
% 8.48/2.14    ( ! [X2 : nat,X3 : $o] : (($true = X3) | ~iG606(X2,X3) | one_one(nat) != X2) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36258])).
% 8.48/2.14  tff(f36258,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : $o] : (~iG606(X0,X1) | one_one(nat) = X0) & ! [X2 : nat,X3 : $o] : (((iG606(X2,X3) | ($true != X3)) & (($true = X3) | ~iG606(X2,X3))) | one_one(nat) != X2)),
% 8.48/2.14    inference(nnf_transformation,[],[f26105])).
% 8.48/2.14  tff(f26105,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : $o] : (~iG606(X0,X1) | one_one(nat) = X0) & ! [X2 : nat,X3 : $o] : ((iG606(X2,X3) <=> ($true = X3)) | one_one(nat) != X2)),
% 8.48/2.14    inference(ennf_transformation,[],[f20317])).
% 8.48/2.14  tff(f20317,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : $o] : (one_one(nat) != X0 => ~iG606(X0,X1)) & ! [X2 : nat,X3 : $o] : (one_one(nat) = X2 => (iG606(X2,X3) <=> ($true = X3)))),
% 8.48/2.14    inference(flattening,[],[f20316])).
% 8.48/2.14  tff(f20316,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : $o] : (~one_one(nat) = X0 => ~iG606(X0,X1)) & ! [X2 : nat,X3 : $o] : (one_one(nat) = X2 => (iG606(X2,X3) <=> ($true = X3)))),
% 8.48/2.14    inference(true_and_false_elimination,[],[f20315])).
% 8.48/2.14  tff(f20315,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : $o] : (~one_one(nat) = X0 => (iG606(X0,X1) <=> $false)) & ! [X2 : nat,X3 : $o] : (one_one(nat) = X2 => (iG606(X2,X3) <=> ($true = X3)))),
% 8.48/2.14    inference(rectify,[],[f15281])).
% 8.48/2.14  tff(f15281,plain,(
% 8.48/2.14    ! [X1 : nat,X3 : $o] : (~one_one(nat) = X1 => (iG606(X1,X3) <=> $false)) & ! [X1 : nat,X3 : $o] : (one_one(nat) = X1 => (iG606(X1,X3) <=> ($true = X3)))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG606])])).
% 8.48/2.14  tff(f44609,plain,(
% 8.48/2.14    ( ! [X0 : nat,X1 : $o] : (~iG606(X0,X1) | one_one(nat) = X0) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36258])).
% 8.48/2.14  tff(f61368,plain,(
% 8.48/2.14    ( ! [X4 : $o,X5 : $o] : (($true = X5) | ~iG607(zero_zero(nat),X4,X5)) )),
% 8.48/2.14    inference(equality_resolution,[],[f44603])).
% 8.48/2.14  tff(f44603,plain,(
% 8.48/2.14    ( ! [X3 : nat,X4 : $o,X5 : $o] : (($true = X5) | ~iG607(X3,X4,X5) | zero_zero(nat) != X3) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36257])).
% 8.48/2.14  tff(f36257,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : $o,X2 : $o] : (((iG607(X0,X1,X2) | ~iG606(X0,X1)) & (iG606(X0,X1) | ~iG607(X0,X1,X2))) | zero_zero(nat) = X0) & ! [X3 : nat,X4 : $o,X5 : $o] : (((iG607(X3,X4,X5) | ($true != X5)) & (($true = X5) | ~iG607(X3,X4,X5))) | zero_zero(nat) != X3)),
% 8.48/2.14    inference(nnf_transformation,[],[f26104])).
% 8.48/2.14  tff(f26104,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : $o,X2 : $o] : ((iG607(X0,X1,X2) <=> iG606(X0,X1)) | zero_zero(nat) = X0) & ! [X3 : nat,X4 : $o,X5 : $o] : ((iG607(X3,X4,X5) <=> ($true = X5)) | zero_zero(nat) != X3)),
% 8.48/2.14    inference(ennf_transformation,[],[f20314])).
% 8.48/2.14  tff(f20314,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : $o,X2 : $o] : (zero_zero(nat) != X0 => (iG607(X0,X1,X2) <=> iG606(X0,X1))) & ! [X3 : nat,X4 : $o,X5 : $o] : (zero_zero(nat) = X3 => (iG607(X3,X4,X5) <=> ($true = X5)))),
% 8.48/2.14    inference(flattening,[],[f20313])).
% 8.48/2.14  tff(f20313,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : $o,X2 : $o] : (~zero_zero(nat) = X0 => (iG607(X0,X1,X2) <=> iG606(X0,X1))) & ! [X3 : nat,X4 : $o,X5 : $o] : (zero_zero(nat) = X3 => (iG607(X3,X4,X5) <=> ($true = X5)))),
% 8.48/2.14    inference(rectify,[],[f15282])).
% 8.48/2.14  tff(f15282,plain,(
% 8.48/2.14    ! [X1 : nat,X3 : $o,X2 : $o] : (~zero_zero(nat) = X1 => (iG607(X1,X3,X2) <=> iG606(X1,X3))) & ! [X1 : nat,X3 : $o,X2 : $o] : (zero_zero(nat) = X1 => (iG607(X1,X3,X2) <=> ($true = X2)))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG607])])).
% 8.48/2.14  tff(f44605,plain,(
% 8.48/2.14    ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG606(X0,X1) | ~iG607(X0,X1,X2) | zero_zero(nat) = X0) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36257])).
% 8.48/2.14  tff(f44602,plain,(
% 8.48/2.14    ( ! [X0 : nat,X1 : nat] : (vEBT_VEBT_high(X0,divide_divide(nat,aa(nat,nat,suc,X1),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG608(X0,X1)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f20312])).
% 8.48/2.14  tff(f20312,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : vEBT_VEBT_high(X0,divide_divide(nat,aa(nat,nat,suc,X1),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG608(X0,X1)),
% 8.48/2.14    inference(rectify,[],[f15283])).
% 8.48/2.14  tff(f15283,plain,(
% 8.48/2.14    ! [X1 : nat,X5 : nat] : vEBT_VEBT_high(X1,divide_divide(nat,aa(nat,nat,suc,X5),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG608(X1,X5)),
% 8.48/2.14    introduced(fool_let_definition,[new_symbols(definition,[lG608])])).
% 8.48/2.14  tff(f44599,plain,(
% 8.48/2.14    ( ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG608(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) | ~iG609(X3,X4,X5) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG608(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3)))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36256])).
% 8.48/2.14  tff(f36256,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~iG609(X0,X1,X2) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG608(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (((iG609(X3,X4,X5) | ~vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG608(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) & (vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG608(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) | ~iG609(X3,X4,X5))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG608(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))),
% 8.48/2.14    inference(nnf_transformation,[],[f26103])).
% 8.48/2.14  tff(f26103,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~iG609(X0,X1,X2) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG608(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : ((iG609(X3,X4,X5) <=> vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG608(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG608(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))),
% 8.48/2.14    inference(ennf_transformation,[],[f20311])).
% 8.48/2.14  tff(f20311,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG608(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => ~iG609(X0,X1,X2)) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG608(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (iG609(X3,X4,X5) <=> vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG608(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.14    inference(flattening,[],[f20310])).
% 8.48/2.14  tff(f20310,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG608(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => ~iG609(X0,X1,X2)) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG608(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (iG609(X3,X4,X5) <=> vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG608(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.14    inference(true_and_false_elimination,[],[f20309])).
% 8.48/2.14  tff(f20309,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG608(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => (iG609(X0,X1,X2) <=> $false)) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG608(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (iG609(X3,X4,X5) <=> vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG608(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.14    inference(rectify,[],[f15284])).
% 8.48/2.14  tff(f15284,plain,(
% 8.48/2.14    ! [X6 : list(vEBT_VEBT),X5 : nat,X1 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG608(X1,X5)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X6))) => (iG609(X6,X5,X1) <=> $false)) & ! [X6 : list(vEBT_VEBT),X5 : nat,X1 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG608(X1,X5)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X6))) => (iG609(X6,X5,X1) <=> vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X6),lG608(X1,X5)),vEBT_VEBT_low(X1,divide_divide(nat,aa(nat,nat,suc,X5),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG609])])).
% 8.48/2.14  tff(f44601,plain,(
% 8.48/2.14    ( ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (~iG609(X0,X1,X2) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG608(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36256])).
% 8.48/2.14  tff(f44598,plain,(
% 8.48/2.14    ( ! [X0 : nat,X1 : nat] : (vEBT_VEBT_high(X0,divide_divide(nat,aa(nat,nat,suc,X1),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG610(X0,X1)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f20308])).
% 8.48/2.14  tff(f20308,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : vEBT_VEBT_high(X0,divide_divide(nat,aa(nat,nat,suc,X1),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG610(X0,X1)),
% 8.48/2.14    inference(rectify,[],[f15287])).
% 8.48/2.14  tff(f15287,plain,(
% 8.48/2.14    ! [X1 : nat,X8 : nat] : vEBT_VEBT_high(X1,divide_divide(nat,aa(nat,nat,suc,X8),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG610(X1,X8)),
% 8.48/2.14    introduced(fool_let_definition,[new_symbols(definition,[lG610])])).
% 8.48/2.14  tff(f44595,plain,(
% 8.48/2.14    ( ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG610(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) | ~iG611(X3,X4,X5) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG610(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3)))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36255])).
% 8.48/2.14  tff(f36255,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~iG611(X0,X1,X2) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG610(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (((iG611(X3,X4,X5) | ~vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG610(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) & (vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG610(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) | ~iG611(X3,X4,X5))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG610(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))),
% 8.48/2.14    inference(nnf_transformation,[],[f26102])).
% 8.48/2.14  tff(f26102,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~iG611(X0,X1,X2) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG610(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : ((iG611(X3,X4,X5) <=> vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG610(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG610(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))),
% 8.48/2.14    inference(ennf_transformation,[],[f20307])).
% 8.48/2.14  tff(f20307,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG610(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => ~iG611(X0,X1,X2)) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG610(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (iG611(X3,X4,X5) <=> vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG610(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.14    inference(flattening,[],[f20306])).
% 8.48/2.14  tff(f20306,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG610(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => ~iG611(X0,X1,X2)) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG610(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (iG611(X3,X4,X5) <=> vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG610(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.14    inference(true_and_false_elimination,[],[f20305])).
% 8.48/2.14  tff(f20305,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG610(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => (iG611(X0,X1,X2) <=> $false)) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG610(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (iG611(X3,X4,X5) <=> vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG610(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.14    inference(rectify,[],[f15288])).
% 8.48/2.14  tff(f15288,plain,(
% 8.48/2.14    ! [X9 : list(vEBT_VEBT),X8 : nat,X1 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG610(X1,X8)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X9))) => (iG611(X9,X8,X1) <=> $false)) & ! [X9 : list(vEBT_VEBT),X8 : nat,X1 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG610(X1,X8)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X9))) => (iG611(X9,X8,X1) <=> vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X9),lG610(X1,X8)),vEBT_VEBT_low(X1,divide_divide(nat,aa(nat,nat,suc,X8),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG611])])).
% 8.48/2.14  tff(f44597,plain,(
% 8.48/2.14    ( ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (~iG611(X0,X1,X2) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG610(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36255])).
% 8.48/2.14  tff(f44594,plain,(
% 8.48/2.14    ( ! [X0 : nat,X1 : nat] : (vEBT_VEBT_high(X0,divide_divide(nat,aa(nat,nat,suc,X1),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG612(X0,X1)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f20304])).
% 8.48/2.14  tff(f20304,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : vEBT_VEBT_high(X0,divide_divide(nat,aa(nat,nat,suc,X1),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG612(X0,X1)),
% 8.48/2.14    inference(rectify,[],[f15289])).
% 8.48/2.14  tff(f15289,plain,(
% 8.48/2.14    ! [X1 : nat,X11 : nat] : vEBT_VEBT_high(X1,divide_divide(nat,aa(nat,nat,suc,X11),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG612(X1,X11)),
% 8.48/2.14    introduced(fool_let_definition,[new_symbols(definition,[lG612])])).
% 8.48/2.14  tff(f44591,plain,(
% 8.48/2.14    ( ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG612(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) | ~iG613(X3,X4,X5) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG612(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3)))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36254])).
% 8.48/2.14  tff(f36254,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~iG613(X0,X1,X2) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG612(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (((iG613(X3,X4,X5) | ~vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG612(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) & (vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG612(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) | ~iG613(X3,X4,X5))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG612(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))),
% 8.48/2.14    inference(nnf_transformation,[],[f26101])).
% 8.48/2.14  tff(f26101,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~iG613(X0,X1,X2) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG612(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : ((iG613(X3,X4,X5) <=> vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG612(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG612(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))),
% 8.48/2.14    inference(ennf_transformation,[],[f20303])).
% 8.48/2.14  tff(f20303,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG612(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => ~iG613(X0,X1,X2)) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG612(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (iG613(X3,X4,X5) <=> vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG612(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.14    inference(flattening,[],[f20302])).
% 8.48/2.14  tff(f20302,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG612(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => ~iG613(X0,X1,X2)) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG612(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (iG613(X3,X4,X5) <=> vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG612(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.14    inference(true_and_false_elimination,[],[f20301])).
% 8.48/2.14  tff(f20301,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG612(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => (iG613(X0,X1,X2) <=> $false)) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG612(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (iG613(X3,X4,X5) <=> vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG612(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.14    inference(rectify,[],[f15290])).
% 8.48/2.14  tff(f15290,plain,(
% 8.48/2.14    ! [X12 : list(vEBT_VEBT),X11 : nat,X1 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG612(X1,X11)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X12))) => (iG613(X12,X11,X1) <=> $false)) & ! [X12 : list(vEBT_VEBT),X11 : nat,X1 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG612(X1,X11)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X12))) => (iG613(X12,X11,X1) <=> vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X12),lG612(X1,X11)),vEBT_VEBT_low(X1,divide_divide(nat,aa(nat,nat,suc,X11),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG613])])).
% 8.48/2.14  tff(f44593,plain,(
% 8.48/2.14    ( ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (~iG613(X0,X1,X2) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG612(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36254])).
% 8.48/2.14  tff(f44590,plain,(
% 8.48/2.14    ( ! [X0 : nat,X1 : nat] : (vEBT_VEBT_high(X0,divide_divide(nat,aa(nat,nat,suc,X1),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG614(X0,X1)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f20300])).
% 8.48/2.14  tff(f20300,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : vEBT_VEBT_high(X0,divide_divide(nat,aa(nat,nat,suc,X1),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG614(X0,X1)),
% 8.48/2.14    inference(rectify,[],[f15293])).
% 8.48/2.14  tff(f15293,plain,(
% 8.48/2.14    ! [X1 : nat,X8 : nat] : vEBT_VEBT_high(X1,divide_divide(nat,aa(nat,nat,suc,X8),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG614(X1,X8)),
% 8.48/2.14    introduced(fool_let_definition,[new_symbols(definition,[lG614])])).
% 8.48/2.14  tff(f44587,plain,(
% 8.48/2.14    ( ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG614(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) | ~iG615(X3,X4,X5) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG614(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3)))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36253])).
% 8.48/2.14  tff(f36253,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~iG615(X0,X1,X2) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG614(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (((iG615(X3,X4,X5) | ~vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG614(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) & (vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG614(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) | ~iG615(X3,X4,X5))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG614(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))),
% 8.48/2.14    inference(nnf_transformation,[],[f26100])).
% 8.48/2.14  tff(f26100,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~iG615(X0,X1,X2) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG614(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : ((iG615(X3,X4,X5) <=> vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG614(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG614(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))),
% 8.48/2.14    inference(ennf_transformation,[],[f20299])).
% 8.48/2.14  tff(f20299,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG614(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => ~iG615(X0,X1,X2)) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG614(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (iG615(X3,X4,X5) <=> vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG614(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.14    inference(flattening,[],[f20298])).
% 8.48/2.14  tff(f20298,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG614(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => ~iG615(X0,X1,X2)) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG614(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (iG615(X3,X4,X5) <=> vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG614(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.14    inference(true_and_false_elimination,[],[f20297])).
% 8.48/2.14  tff(f20297,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG614(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => (iG615(X0,X1,X2) <=> $false)) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG614(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (iG615(X3,X4,X5) <=> vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG614(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.14    inference(rectify,[],[f15294])).
% 8.48/2.14  tff(f15294,plain,(
% 8.48/2.14    ! [X9 : list(vEBT_VEBT),X8 : nat,X1 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG614(X1,X8)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X9))) => (iG615(X9,X8,X1) <=> $false)) & ! [X9 : list(vEBT_VEBT),X8 : nat,X1 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG614(X1,X8)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X9))) => (iG615(X9,X8,X1) <=> vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X9),lG614(X1,X8)),vEBT_VEBT_low(X1,divide_divide(nat,aa(nat,nat,suc,X8),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG615])])).
% 8.48/2.14  tff(f44589,plain,(
% 8.48/2.14    ( ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (~iG615(X0,X1,X2) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG614(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36253])).
% 8.48/2.14  tff(f44586,plain,(
% 8.48/2.14    ( ! [X0 : nat,X1 : nat] : (vEBT_VEBT_high(X0,divide_divide(nat,aa(nat,nat,suc,X1),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG616(X0,X1)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f20296])).
% 8.48/2.14  tff(f20296,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : vEBT_VEBT_high(X0,divide_divide(nat,aa(nat,nat,suc,X1),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG616(X0,X1)),
% 8.48/2.14    inference(rectify,[],[f15295])).
% 8.48/2.14  tff(f15295,plain,(
% 8.48/2.14    ! [X1 : nat,X11 : nat] : vEBT_VEBT_high(X1,divide_divide(nat,aa(nat,nat,suc,X11),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG616(X1,X11)),
% 8.48/2.14    introduced(fool_let_definition,[new_symbols(definition,[lG616])])).
% 8.48/2.14  tff(f44583,plain,(
% 8.48/2.14    ( ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG616(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) | ~iG617(X3,X4,X5) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG616(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3)))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36252])).
% 8.48/2.14  tff(f36252,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~iG617(X0,X1,X2) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG616(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (((iG617(X3,X4,X5) | ~vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG616(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) & (vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG616(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) | ~iG617(X3,X4,X5))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG616(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))),
% 8.48/2.14    inference(nnf_transformation,[],[f26099])).
% 8.48/2.14  tff(f26099,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~iG617(X0,X1,X2) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG616(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : ((iG617(X3,X4,X5) <=> vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG616(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG616(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))),
% 8.48/2.14    inference(ennf_transformation,[],[f20295])).
% 8.48/2.14  tff(f20295,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG616(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => ~iG617(X0,X1,X2)) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG616(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (iG617(X3,X4,X5) <=> vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG616(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.14    inference(flattening,[],[f20294])).
% 8.48/2.14  tff(f20294,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG616(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => ~iG617(X0,X1,X2)) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG616(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (iG617(X3,X4,X5) <=> vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG616(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.14    inference(true_and_false_elimination,[],[f20293])).
% 8.48/2.14  tff(f20293,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG616(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => (iG617(X0,X1,X2) <=> $false)) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG616(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (iG617(X3,X4,X5) <=> vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG616(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.14    inference(rectify,[],[f15296])).
% 8.48/2.14  tff(f15296,plain,(
% 8.48/2.14    ! [X12 : list(vEBT_VEBT),X11 : nat,X1 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG616(X1,X11)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X12))) => (iG617(X12,X11,X1) <=> $false)) & ! [X12 : list(vEBT_VEBT),X11 : nat,X1 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG616(X1,X11)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X12))) => (iG617(X12,X11,X1) <=> vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X12),lG616(X1,X11)),vEBT_VEBT_low(X1,divide_divide(nat,aa(nat,nat,suc,X11),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG617])])).
% 8.48/2.14  tff(f44585,plain,(
% 8.48/2.14    ( ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (~iG617(X0,X1,X2) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG616(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36252])).
% 8.48/2.14  tff(f61365,plain,(
% 8.48/2.14    ($true = bG618($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44581])).
% 8.48/2.14  tff(f44581,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG618(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36251])).
% 8.48/2.14  tff(f36251,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG618(X0))) & (($true = bG618(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20292])).
% 8.48/2.14  tff(f20292,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG618(X0)))),
% 8.48/2.14    inference(rectify,[],[f15299])).
% 8.48/2.14  tff(f15299,plain,(
% 8.48/2.14    ! [X2 : $o] : (($true = X2) <=> ($true = bG618(X2)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG618])])).
% 8.48/2.14  tff(f44582,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG618(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36251])).
% 8.48/2.14  tff(f61364,plain,(
% 8.48/2.14    ($true = bG619($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44579])).
% 8.48/2.14  tff(f44579,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG619(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36250])).
% 8.48/2.14  tff(f36250,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG619(X0))) & (($true = bG619(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20291])).
% 8.48/2.14  tff(f20291,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG619(X0)))),
% 8.48/2.14    inference(rectify,[],[f15300])).
% 8.48/2.14  tff(f15300,plain,(
% 8.48/2.14    ! [X3 : $o] : (($true = X3) <=> ($true = bG619(X3)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG619])])).
% 8.48/2.14  tff(f44580,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG619(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36250])).
% 8.48/2.14  tff(f61363,plain,(
% 8.48/2.14    ($true = bG620($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44577])).
% 8.48/2.14  tff(f44577,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG620(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36249])).
% 8.48/2.14  tff(f36249,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG620(X0))) & (($true = bG620(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20290])).
% 8.48/2.14  tff(f20290,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG620(X0)))),
% 8.48/2.14    inference(rectify,[],[f15303])).
% 8.48/2.14  tff(f15303,plain,(
% 8.48/2.14    ! [X2 : $o] : (($true = X2) <=> ($true = bG620(X2)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG620])])).
% 8.48/2.14  tff(f44578,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG620(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36249])).
% 8.48/2.14  tff(f61362,plain,(
% 8.48/2.14    ($true = bG621($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44575])).
% 8.48/2.14  tff(f44575,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG621(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36248])).
% 8.48/2.14  tff(f36248,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG621(X0))) & (($true = bG621(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20289])).
% 8.48/2.14  tff(f20289,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG621(X0)))),
% 8.48/2.14    inference(rectify,[],[f15304])).
% 8.48/2.14  tff(f15304,plain,(
% 8.48/2.14    ! [X3 : $o] : (($true = X3) <=> ($true = bG621(X3)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG621])])).
% 8.48/2.14  tff(f44576,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG621(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36248])).
% 8.48/2.14  tff(f44573,plain,(
% 8.48/2.14    ( ! [X2 : int,X3 : int] : (aa(int,int,uminus_uminus(int),divide_divide(int,X3,X2)) = iG622(X2,X3) | zero_zero(int) != modulo_modulo(int,X3,X2)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26098])).
% 8.48/2.14  tff(f26098,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),aa(int,int,uminus_uminus(int),divide_divide(int,X1,X0))),one_one(int)) = iG622(X0,X1) | zero_zero(int) = modulo_modulo(int,X1,X0)) & ! [X2 : int,X3 : int] : (aa(int,int,uminus_uminus(int),divide_divide(int,X3,X2)) = iG622(X2,X3) | zero_zero(int) != modulo_modulo(int,X3,X2))),
% 8.48/2.14    inference(ennf_transformation,[],[f20288])).
% 8.48/2.14  tff(f20288,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (zero_zero(int) != modulo_modulo(int,X1,X0) => aa(int,int,aa(int,fun(int,int),minus_minus(int),aa(int,int,uminus_uminus(int),divide_divide(int,X1,X0))),one_one(int)) = iG622(X0,X1)) & ! [X2 : int,X3 : int] : (zero_zero(int) = modulo_modulo(int,X3,X2) => aa(int,int,uminus_uminus(int),divide_divide(int,X3,X2)) = iG622(X2,X3))),
% 8.48/2.14    inference(flattening,[],[f20287])).
% 8.48/2.14  tff(f20287,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (~zero_zero(int) = modulo_modulo(int,X1,X0) => aa(int,int,aa(int,fun(int,int),minus_minus(int),aa(int,int,uminus_uminus(int),divide_divide(int,X1,X0))),one_one(int)) = iG622(X0,X1)) & ! [X2 : int,X3 : int] : (zero_zero(int) = modulo_modulo(int,X3,X2) => aa(int,int,uminus_uminus(int),divide_divide(int,X3,X2)) = iG622(X2,X3))),
% 8.48/2.14    inference(rectify,[],[f15317])).
% 8.48/2.14  tff(f15317,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (~zero_zero(int) = modulo_modulo(int,X1,X0) => aa(int,int,aa(int,fun(int,int),minus_minus(int),aa(int,int,uminus_uminus(int),divide_divide(int,X1,X0))),one_one(int)) = iG622(X0,X1)) & ! [X0 : int,X1 : int] : (zero_zero(int) = modulo_modulo(int,X1,X0) => aa(int,int,uminus_uminus(int),divide_divide(int,X1,X0)) = iG622(X0,X1))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG622])])).
% 8.48/2.14  tff(f44574,plain,(
% 8.48/2.14    ( ! [X0 : int,X1 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),aa(int,int,uminus_uminus(int),divide_divide(int,X1,X0))),one_one(int)) = iG622(X0,X1) | zero_zero(int) = modulo_modulo(int,X1,X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26098])).
% 8.48/2.14  tff(f44571,plain,(
% 8.48/2.14    ( ! [X2 : int,X3 : int] : (aa(int,int,uminus_uminus(int),divide_divide(int,X3,X2)) = iG623(X2,X3) | zero_zero(int) != modulo_modulo(int,X3,X2)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26097])).
% 8.48/2.14  tff(f26097,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),aa(int,int,uminus_uminus(int),divide_divide(int,X1,X0))),one_one(int)) = iG623(X0,X1) | zero_zero(int) = modulo_modulo(int,X1,X0)) & ! [X2 : int,X3 : int] : (aa(int,int,uminus_uminus(int),divide_divide(int,X3,X2)) = iG623(X2,X3) | zero_zero(int) != modulo_modulo(int,X3,X2))),
% 8.48/2.14    inference(ennf_transformation,[],[f20286])).
% 8.48/2.14  tff(f20286,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (zero_zero(int) != modulo_modulo(int,X1,X0) => aa(int,int,aa(int,fun(int,int),minus_minus(int),aa(int,int,uminus_uminus(int),divide_divide(int,X1,X0))),one_one(int)) = iG623(X0,X1)) & ! [X2 : int,X3 : int] : (zero_zero(int) = modulo_modulo(int,X3,X2) => aa(int,int,uminus_uminus(int),divide_divide(int,X3,X2)) = iG623(X2,X3))),
% 8.48/2.14    inference(flattening,[],[f20285])).
% 8.48/2.14  tff(f20285,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (~zero_zero(int) = modulo_modulo(int,X1,X0) => aa(int,int,aa(int,fun(int,int),minus_minus(int),aa(int,int,uminus_uminus(int),divide_divide(int,X1,X0))),one_one(int)) = iG623(X0,X1)) & ! [X2 : int,X3 : int] : (zero_zero(int) = modulo_modulo(int,X3,X2) => aa(int,int,uminus_uminus(int),divide_divide(int,X3,X2)) = iG623(X2,X3))),
% 8.48/2.14    inference(rectify,[],[f15320])).
% 8.48/2.14  tff(f15320,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (~zero_zero(int) = modulo_modulo(int,X1,X0) => aa(int,int,aa(int,fun(int,int),minus_minus(int),aa(int,int,uminus_uminus(int),divide_divide(int,X1,X0))),one_one(int)) = iG623(X0,X1)) & ! [X0 : int,X1 : int] : (zero_zero(int) = modulo_modulo(int,X1,X0) => aa(int,int,uminus_uminus(int),divide_divide(int,X1,X0)) = iG623(X0,X1))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG623])])).
% 8.48/2.14  tff(f44572,plain,(
% 8.48/2.14    ( ! [X0 : int,X1 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),aa(int,int,uminus_uminus(int),divide_divide(int,X1,X0))),one_one(int)) = iG623(X0,X1) | zero_zero(int) = modulo_modulo(int,X1,X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26097])).
% 8.48/2.14  tff(f44569,plain,(
% 8.48/2.14    ( ! [X0 : int,X1 : int] : (($true = bG624(X0,X1)) | dvd_dvd(int,X1,X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36247])).
% 8.48/2.14  tff(f36247,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : ((~dvd_dvd(int,X1,X0) | ($true != bG624(X0,X1))) & (($true = bG624(X0,X1)) | dvd_dvd(int,X1,X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20284])).
% 8.48/2.14  tff(f20284,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (~dvd_dvd(int,X1,X0) <=> ($true = bG624(X0,X1)))),
% 8.48/2.14    inference(rectify,[],[f15325])).
% 8.48/2.14  tff(f15325,plain,(
% 8.48/2.14    ! [X1 : int,X0 : int] : (~dvd_dvd(int,X0,X1) <=> ($true = bG624(X1,X0)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG624])])).
% 8.48/2.14  tff(f44570,plain,(
% 8.48/2.14    ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,X1,X0) | ($true != bG624(X0,X1))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36247])).
% 8.48/2.14  tff(f44568,plain,(
% 8.48/2.14    ( ! [X0 : nat] : (divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X0)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))) = lG625(X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f20283])).
% 8.48/2.14  tff(f20283,plain,(
% 8.48/2.14    ! [X0 : nat] : divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X0)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))) = lG625(X0)),
% 8.48/2.14    inference(rectify,[],[f15340])).
% 8.48/2.14  tff(f15340,plain,(
% 8.48/2.14    ! [X2 : nat] : divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))) = lG625(X2)),
% 8.48/2.14    introduced(fool_let_definition,[new_symbols(definition,[lG625])])).
% 8.48/2.14  tff(f44567,plain,(
% 8.48/2.14    ( ! [X0 : nat] : (divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X0)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))) = lG626(X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f20282])).
% 8.48/2.14  tff(f20282,plain,(
% 8.48/2.14    ! [X0 : nat] : divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X0)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))) = lG626(X0)),
% 8.48/2.14    inference(rectify,[],[f15341])).
% 8.48/2.14  tff(f15341,plain,(
% 8.48/2.14    ! [X2 : nat] : divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))) = lG626(X2)),
% 8.48/2.14    introduced(fool_let_definition,[new_symbols(definition,[lG626])])).
% 8.48/2.14  tff(f44565,plain,(
% 8.48/2.14    ( ! [X1 : nat] : (vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,aa(nat,nat,suc,X1)),replicate(vEBT_VEBT,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),lG625(X1)),vEBT_vebt_buildup(lG625(X1))),vEBT_vebt_buildup(lG625(X1))) = iG627(X1) | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),aa(nat,nat,suc,aa(nat,nat,suc,X1)))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26096])).
% 8.48/2.14  tff(f26096,plain,(
% 8.48/2.14    ! [X0 : nat] : (vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,aa(nat,nat,suc,X0)),replicate(vEBT_VEBT,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,suc,lG626(X0))),vEBT_vebt_buildup(lG626(X0))),vEBT_vebt_buildup(aa(nat,nat,suc,lG626(X0)))) = iG627(X0) | dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),aa(nat,nat,suc,aa(nat,nat,suc,X0)))) & ! [X1 : nat] : (vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,aa(nat,nat,suc,X1)),replicate(vEBT_VEBT,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),lG625(X1)),vEBT_vebt_buildup(lG625(X1))),vEBT_vebt_buildup(lG625(X1))) = iG627(X1) | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),aa(nat,nat,suc,aa(nat,nat,suc,X1))))),
% 8.48/2.14    inference(ennf_transformation,[],[f20281])).
% 8.48/2.14  tff(f20281,plain,(
% 8.48/2.14    ! [X0 : nat] : (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),aa(nat,nat,suc,aa(nat,nat,suc,X0))) => vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,aa(nat,nat,suc,X0)),replicate(vEBT_VEBT,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,suc,lG626(X0))),vEBT_vebt_buildup(lG626(X0))),vEBT_vebt_buildup(aa(nat,nat,suc,lG626(X0)))) = iG627(X0)) & ! [X1 : nat] : (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),aa(nat,nat,suc,aa(nat,nat,suc,X1))) => vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,aa(nat,nat,suc,X1)),replicate(vEBT_VEBT,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),lG625(X1)),vEBT_vebt_buildup(lG625(X1))),vEBT_vebt_buildup(lG625(X1))) = iG627(X1))),
% 8.48/2.14    inference(flattening,[],[f20280])).
% 8.48/2.14  tff(f20280,plain,(
% 8.48/2.14    ! [X0 : nat] : (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),aa(nat,nat,suc,aa(nat,nat,suc,X0))) => vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,aa(nat,nat,suc,X0)),replicate(vEBT_VEBT,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,suc,lG626(X0))),vEBT_vebt_buildup(lG626(X0))),vEBT_vebt_buildup(aa(nat,nat,suc,lG626(X0)))) = iG627(X0)) & ! [X1 : nat] : (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),aa(nat,nat,suc,aa(nat,nat,suc,X1))) => vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,aa(nat,nat,suc,X1)),replicate(vEBT_VEBT,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),lG625(X1)),vEBT_vebt_buildup(lG625(X1))),vEBT_vebt_buildup(lG625(X1))) = iG627(X1))),
% 8.48/2.14    inference(rectify,[],[f15342])).
% 8.48/2.14  tff(f15342,plain,(
% 8.48/2.14    ! [X2 : nat] : (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),aa(nat,nat,suc,aa(nat,nat,suc,X2))) => vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,aa(nat,nat,suc,X2)),replicate(vEBT_VEBT,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,suc,lG626(X2))),vEBT_vebt_buildup(lG626(X2))),vEBT_vebt_buildup(aa(nat,nat,suc,lG626(X2)))) = iG627(X2)) & ! [X2 : nat] : (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),aa(nat,nat,suc,aa(nat,nat,suc,X2))) => vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,aa(nat,nat,suc,X2)),replicate(vEBT_VEBT,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),lG625(X2)),vEBT_vebt_buildup(lG625(X2))),vEBT_vebt_buildup(lG625(X2))) = iG627(X2))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG627])])).
% 8.48/2.14  tff(f44566,plain,(
% 8.48/2.14    ( ! [X0 : nat] : (vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,aa(nat,nat,suc,X0)),replicate(vEBT_VEBT,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,suc,lG626(X0))),vEBT_vebt_buildup(lG626(X0))),vEBT_vebt_buildup(aa(nat,nat,suc,lG626(X0)))) = iG627(X0) | dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),aa(nat,nat,suc,aa(nat,nat,suc,X0)))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26096])).
% 8.48/2.14  tff(f44564,plain,(
% 8.48/2.14    ( ! [X0 : nat] : (divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X0)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))) = lG628(X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f20279])).
% 8.48/2.14  tff(f20279,plain,(
% 8.48/2.14    ! [X0 : nat] : divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X0)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))) = lG628(X0)),
% 8.48/2.14    inference(rectify,[],[f15345])).
% 8.48/2.14  tff(f15345,plain,(
% 8.48/2.14    ! [X2 : nat] : divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))) = lG628(X2)),
% 8.48/2.14    introduced(fool_let_definition,[new_symbols(definition,[lG628])])).
% 8.48/2.14  tff(f44563,plain,(
% 8.48/2.14    ( ! [X0 : nat] : (divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X0)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))) = lG629(X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f20278])).
% 8.48/2.14  tff(f20278,plain,(
% 8.48/2.14    ! [X0 : nat] : divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X0)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))) = lG629(X0)),
% 8.48/2.14    inference(rectify,[],[f15346])).
% 8.48/2.14  tff(f15346,plain,(
% 8.48/2.14    ! [X2 : nat] : divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))) = lG629(X2)),
% 8.48/2.14    introduced(fool_let_definition,[new_symbols(definition,[lG629])])).
% 8.48/2.14  tff(f44561,plain,(
% 8.48/2.14    ( ! [X1 : nat] : (vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,aa(nat,nat,suc,X1)),replicate(vEBT_VEBT,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),lG628(X1)),vEBT_vebt_buildup(lG628(X1))),vEBT_vebt_buildup(lG628(X1))) = iG630(X1) | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),aa(nat,nat,suc,aa(nat,nat,suc,X1)))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26095])).
% 8.48/2.14  tff(f26095,plain,(
% 8.48/2.14    ! [X0 : nat] : (vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,aa(nat,nat,suc,X0)),replicate(vEBT_VEBT,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,suc,lG629(X0))),vEBT_vebt_buildup(lG629(X0))),vEBT_vebt_buildup(aa(nat,nat,suc,lG629(X0)))) = iG630(X0) | dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),aa(nat,nat,suc,aa(nat,nat,suc,X0)))) & ! [X1 : nat] : (vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,aa(nat,nat,suc,X1)),replicate(vEBT_VEBT,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),lG628(X1)),vEBT_vebt_buildup(lG628(X1))),vEBT_vebt_buildup(lG628(X1))) = iG630(X1) | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),aa(nat,nat,suc,aa(nat,nat,suc,X1))))),
% 8.48/2.14    inference(ennf_transformation,[],[f20277])).
% 8.48/2.14  tff(f20277,plain,(
% 8.48/2.14    ! [X0 : nat] : (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),aa(nat,nat,suc,aa(nat,nat,suc,X0))) => vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,aa(nat,nat,suc,X0)),replicate(vEBT_VEBT,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,suc,lG629(X0))),vEBT_vebt_buildup(lG629(X0))),vEBT_vebt_buildup(aa(nat,nat,suc,lG629(X0)))) = iG630(X0)) & ! [X1 : nat] : (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),aa(nat,nat,suc,aa(nat,nat,suc,X1))) => vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,aa(nat,nat,suc,X1)),replicate(vEBT_VEBT,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),lG628(X1)),vEBT_vebt_buildup(lG628(X1))),vEBT_vebt_buildup(lG628(X1))) = iG630(X1))),
% 8.48/2.14    inference(flattening,[],[f20276])).
% 8.48/2.14  tff(f20276,plain,(
% 8.48/2.14    ! [X0 : nat] : (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),aa(nat,nat,suc,aa(nat,nat,suc,X0))) => vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,aa(nat,nat,suc,X0)),replicate(vEBT_VEBT,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,suc,lG629(X0))),vEBT_vebt_buildup(lG629(X0))),vEBT_vebt_buildup(aa(nat,nat,suc,lG629(X0)))) = iG630(X0)) & ! [X1 : nat] : (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),aa(nat,nat,suc,aa(nat,nat,suc,X1))) => vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,aa(nat,nat,suc,X1)),replicate(vEBT_VEBT,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),lG628(X1)),vEBT_vebt_buildup(lG628(X1))),vEBT_vebt_buildup(lG628(X1))) = iG630(X1))),
% 8.48/2.14    inference(rectify,[],[f15347])).
% 8.48/2.14  tff(f15347,plain,(
% 8.48/2.14    ! [X2 : nat] : (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),aa(nat,nat,suc,aa(nat,nat,suc,X2))) => vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,aa(nat,nat,suc,X2)),replicate(vEBT_VEBT,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,suc,lG629(X2))),vEBT_vebt_buildup(lG629(X2))),vEBT_vebt_buildup(aa(nat,nat,suc,lG629(X2)))) = iG630(X2)) & ! [X2 : nat] : (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),aa(nat,nat,suc,aa(nat,nat,suc,X2))) => vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,aa(nat,nat,suc,X2)),replicate(vEBT_VEBT,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),lG628(X2)),vEBT_vebt_buildup(lG628(X2))),vEBT_vebt_buildup(lG628(X2))) = iG630(X2))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG630])])).
% 8.48/2.14  tff(f44562,plain,(
% 8.48/2.14    ( ! [X0 : nat] : (vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,aa(nat,nat,suc,X0)),replicate(vEBT_VEBT,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,suc,lG629(X0))),vEBT_vebt_buildup(lG629(X0))),vEBT_vebt_buildup(aa(nat,nat,suc,lG629(X0)))) = iG630(X0) | dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),aa(nat,nat,suc,aa(nat,nat,suc,X0)))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26095])).
% 8.48/2.14  tff(f61361,plain,(
% 8.48/2.14    ($true = bG631($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44559])).
% 8.48/2.14  tff(f44559,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG631(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36246])).
% 8.48/2.14  tff(f36246,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG631(X0))) & (($true = bG631(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20275])).
% 8.48/2.14  tff(f20275,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG631(X0)))),
% 8.48/2.14    inference(rectify,[],[f15366])).
% 8.48/2.14  tff(f15366,plain,(
% 8.48/2.14    ! [X2 : $o] : (($true = X2) <=> ($true = bG631(X2)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG631])])).
% 8.48/2.14  tff(f44560,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG631(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36246])).
% 8.48/2.14  tff(f61360,plain,(
% 8.48/2.14    ($true = bG632($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44557])).
% 8.48/2.14  tff(f44557,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG632(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36245])).
% 8.48/2.14  tff(f36245,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG632(X0))) & (($true = bG632(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20274])).
% 8.48/2.14  tff(f20274,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG632(X0)))),
% 8.48/2.14    inference(rectify,[],[f15367])).
% 8.48/2.14  tff(f15367,plain,(
% 8.48/2.14    ! [X3 : $o] : (($true = X3) <=> ($true = bG632(X3)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG632])])).
% 8.48/2.14  tff(f44558,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG632(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36245])).
% 8.48/2.14  tff(f61359,plain,(
% 8.48/2.14    aa(nat,option(nat),some(nat),zero_zero(nat)) = iG633($true)),
% 8.48/2.14    inference(equality_resolution,[],[f44555])).
% 8.48/2.14  tff(f44555,plain,(
% 8.48/2.14    ( ! [X1 : $o] : (aa(nat,option(nat),some(nat),zero_zero(nat)) = iG633(X1) | ($true != X1)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26094])).
% 8.48/2.14  tff(f26094,plain,(
% 8.48/2.14    ! [X0 : $o] : (none(nat) = iG633(X0) | ($true = X0)) & ! [X1 : $o] : (aa(nat,option(nat),some(nat),zero_zero(nat)) = iG633(X1) | ($true != X1))),
% 8.48/2.14    inference(ennf_transformation,[],[f20273])).
% 8.48/2.14  tff(f20273,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true != X0) => none(nat) = iG633(X0)) & ! [X1 : $o] : (($true = X1) => aa(nat,option(nat),some(nat),zero_zero(nat)) = iG633(X1))),
% 8.48/2.14    inference(flattening,[],[f20272])).
% 8.48/2.14  tff(f20272,plain,(
% 8.48/2.14    ! [X0 : $o] : (~($true = X0) => none(nat) = iG633(X0)) & ! [X1 : $o] : (($true = X1) => aa(nat,option(nat),some(nat),zero_zero(nat)) = iG633(X1))),
% 8.48/2.14    inference(rectify,[],[f15368])).
% 8.48/2.14  tff(f15368,plain,(
% 8.48/2.14    ! [X2 : $o] : (~($true = X2) => none(nat) = iG633(X2)) & ! [X2 : $o] : (($true = X2) => aa(nat,option(nat),some(nat),zero_zero(nat)) = iG633(X2))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG633])])).
% 8.48/2.14  tff(f44556,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (none(nat) = iG633(X0) | ($true = X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26094])).
% 8.48/2.14  tff(f61358,plain,(
% 8.48/2.14    ( ! [X3 : $o] : (aa(nat,option(nat),some(nat),one_one(nat)) = iG634($true,X3)) )),
% 8.48/2.14    inference(equality_resolution,[],[f44553])).
% 8.48/2.14  tff(f44553,plain,(
% 8.48/2.14    ( ! [X2 : $o,X3 : $o] : (aa(nat,option(nat),some(nat),one_one(nat)) = iG634(X2,X3) | ($true != X2)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26093])).
% 8.48/2.14  tff(f26093,plain,(
% 8.48/2.14    ! [X0 : $o,X1 : $o] : (iG633(X1) = iG634(X0,X1) | ($true = X0)) & ! [X2 : $o,X3 : $o] : (aa(nat,option(nat),some(nat),one_one(nat)) = iG634(X2,X3) | ($true != X2))),
% 8.48/2.14    inference(ennf_transformation,[],[f20271])).
% 8.48/2.14  tff(f20271,plain,(
% 8.48/2.14    ! [X0 : $o,X1 : $o] : (($true != X0) => iG633(X1) = iG634(X0,X1)) & ! [X2 : $o,X3 : $o] : (($true = X2) => aa(nat,option(nat),some(nat),one_one(nat)) = iG634(X2,X3))),
% 8.48/2.14    inference(flattening,[],[f20270])).
% 8.48/2.14  tff(f20270,plain,(
% 8.48/2.14    ! [X0 : $o,X1 : $o] : (~($true = X0) => iG633(X1) = iG634(X0,X1)) & ! [X2 : $o,X3 : $o] : (($true = X2) => aa(nat,option(nat),some(nat),one_one(nat)) = iG634(X2,X3))),
% 8.48/2.14    inference(rectify,[],[f15369])).
% 8.48/2.14  tff(f15369,plain,(
% 8.48/2.14    ! [X3 : $o,X2 : $o] : (~($true = X3) => iG633(X2) = iG634(X3,X2)) & ! [X3 : $o,X2 : $o] : (($true = X3) => aa(nat,option(nat),some(nat),one_one(nat)) = iG634(X3,X2))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG634])])).
% 8.48/2.14  tff(f44554,plain,(
% 8.48/2.14    ( ! [X0 : $o,X1 : $o] : (iG633(X1) = iG634(X0,X1) | ($true = X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26093])).
% 8.48/2.14  tff(f61357,plain,(
% 8.48/2.14    ($true = bG635($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44551])).
% 8.48/2.14  tff(f44551,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG635(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36244])).
% 8.48/2.14  tff(f36244,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG635(X0))) & (($true = bG635(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20269])).
% 8.48/2.14  tff(f20269,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG635(X0)))),
% 8.48/2.14    inference(rectify,[],[f15372])).
% 8.48/2.14  tff(f15372,plain,(
% 8.48/2.14    ! [X2 : $o] : (($true = X2) <=> ($true = bG635(X2)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG635])])).
% 8.48/2.14  tff(f44552,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG635(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36244])).
% 8.48/2.14  tff(f61356,plain,(
% 8.48/2.14    ($true = bG636($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44549])).
% 8.48/2.14  tff(f44549,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG636(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36243])).
% 8.48/2.14  tff(f36243,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG636(X0))) & (($true = bG636(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20268])).
% 8.48/2.14  tff(f20268,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG636(X0)))),
% 8.48/2.14    inference(rectify,[],[f15373])).
% 8.48/2.14  tff(f15373,plain,(
% 8.48/2.14    ! [X3 : $o] : (($true = X3) <=> ($true = bG636(X3)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG636])])).
% 8.48/2.14  tff(f44550,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG636(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36243])).
% 8.48/2.14  tff(f61355,plain,(
% 8.48/2.14    aa(nat,option(nat),some(nat),zero_zero(nat)) = iG637($true)),
% 8.48/2.14    inference(equality_resolution,[],[f44547])).
% 8.48/2.14  tff(f44547,plain,(
% 8.48/2.14    ( ! [X1 : $o] : (aa(nat,option(nat),some(nat),zero_zero(nat)) = iG637(X1) | ($true != X1)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26092])).
% 8.48/2.14  tff(f26092,plain,(
% 8.48/2.14    ! [X0 : $o] : (none(nat) = iG637(X0) | ($true = X0)) & ! [X1 : $o] : (aa(nat,option(nat),some(nat),zero_zero(nat)) = iG637(X1) | ($true != X1))),
% 8.48/2.14    inference(ennf_transformation,[],[f20267])).
% 8.48/2.14  tff(f20267,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true != X0) => none(nat) = iG637(X0)) & ! [X1 : $o] : (($true = X1) => aa(nat,option(nat),some(nat),zero_zero(nat)) = iG637(X1))),
% 8.48/2.14    inference(flattening,[],[f20266])).
% 8.48/2.14  tff(f20266,plain,(
% 8.48/2.14    ! [X0 : $o] : (~($true = X0) => none(nat) = iG637(X0)) & ! [X1 : $o] : (($true = X1) => aa(nat,option(nat),some(nat),zero_zero(nat)) = iG637(X1))),
% 8.48/2.14    inference(rectify,[],[f15374])).
% 8.48/2.14  tff(f15374,plain,(
% 8.48/2.14    ! [X2 : $o] : (~($true = X2) => none(nat) = iG637(X2)) & ! [X2 : $o] : (($true = X2) => aa(nat,option(nat),some(nat),zero_zero(nat)) = iG637(X2))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG637])])).
% 8.48/2.14  tff(f44548,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (none(nat) = iG637(X0) | ($true = X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26092])).
% 8.48/2.14  tff(f61354,plain,(
% 8.48/2.14    ( ! [X3 : $o] : (aa(nat,option(nat),some(nat),one_one(nat)) = iG638($true,X3)) )),
% 8.48/2.14    inference(equality_resolution,[],[f44545])).
% 8.48/2.14  tff(f44545,plain,(
% 8.48/2.14    ( ! [X2 : $o,X3 : $o] : (aa(nat,option(nat),some(nat),one_one(nat)) = iG638(X2,X3) | ($true != X2)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26091])).
% 8.48/2.14  tff(f26091,plain,(
% 8.48/2.14    ! [X0 : $o,X1 : $o] : (iG637(X1) = iG638(X0,X1) | ($true = X0)) & ! [X2 : $o,X3 : $o] : (aa(nat,option(nat),some(nat),one_one(nat)) = iG638(X2,X3) | ($true != X2))),
% 8.48/2.14    inference(ennf_transformation,[],[f20265])).
% 8.48/2.14  tff(f20265,plain,(
% 8.48/2.14    ! [X0 : $o,X1 : $o] : (($true != X0) => iG637(X1) = iG638(X0,X1)) & ! [X2 : $o,X3 : $o] : (($true = X2) => aa(nat,option(nat),some(nat),one_one(nat)) = iG638(X2,X3))),
% 8.48/2.14    inference(flattening,[],[f20264])).
% 8.48/2.14  tff(f20264,plain,(
% 8.48/2.14    ! [X0 : $o,X1 : $o] : (~($true = X0) => iG637(X1) = iG638(X0,X1)) & ! [X2 : $o,X3 : $o] : (($true = X2) => aa(nat,option(nat),some(nat),one_one(nat)) = iG638(X2,X3))),
% 8.48/2.14    inference(rectify,[],[f15375])).
% 8.48/2.14  tff(f15375,plain,(
% 8.48/2.14    ! [X3 : $o,X2 : $o] : (~($true = X3) => iG637(X2) = iG638(X3,X2)) & ! [X3 : $o,X2 : $o] : (($true = X3) => aa(nat,option(nat),some(nat),one_one(nat)) = iG638(X3,X2))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG638])])).
% 8.48/2.14  tff(f44546,plain,(
% 8.48/2.14    ( ! [X0 : $o,X1 : $o] : (iG637(X1) = iG638(X0,X1) | ($true = X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26091])).
% 8.48/2.14  tff(f61353,plain,(
% 8.48/2.14    ($true = bG639($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44543])).
% 8.48/2.14  tff(f44543,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG639(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36242])).
% 8.48/2.14  tff(f36242,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG639(X0))) & (($true = bG639(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20263])).
% 8.48/2.14  tff(f20263,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG639(X0)))),
% 8.48/2.14    inference(rectify,[],[f15376])).
% 8.48/2.14  tff(f15376,plain,(
% 8.48/2.14    ! [X2 : $o] : (($true = X2) <=> ($true = bG639(X2)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG639])])).
% 8.48/2.14  tff(f44544,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG639(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36242])).
% 8.48/2.14  tff(f61352,plain,(
% 8.48/2.14    ($true = bG640($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44541])).
% 8.48/2.14  tff(f44541,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG640(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36241])).
% 8.48/2.14  tff(f36241,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG640(X0))) & (($true = bG640(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20262])).
% 8.48/2.14  tff(f20262,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG640(X0)))),
% 8.48/2.14    inference(rectify,[],[f15377])).
% 8.48/2.14  tff(f15377,plain,(
% 8.48/2.14    ! [X3 : $o] : (($true = X3) <=> ($true = bG640(X3)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG640])])).
% 8.48/2.14  tff(f44542,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG640(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36241])).
% 8.48/2.14  tff(f61351,plain,(
% 8.48/2.14    ($true = bG641($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44539])).
% 8.48/2.14  tff(f44539,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG641(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36240])).
% 8.48/2.14  tff(f36240,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG641(X0))) & (($true = bG641(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20261])).
% 8.48/2.14  tff(f20261,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG641(X0)))),
% 8.48/2.14    inference(rectify,[],[f15380])).
% 8.48/2.14  tff(f15380,plain,(
% 8.48/2.14    ! [X2 : $o] : (($true = X2) <=> ($true = bG641(X2)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG641])])).
% 8.48/2.14  tff(f44540,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG641(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36240])).
% 8.48/2.14  tff(f61350,plain,(
% 8.48/2.14    ($true = bG642($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44537])).
% 8.48/2.14  tff(f44537,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG642(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36239])).
% 8.48/2.14  tff(f36239,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG642(X0))) & (($true = bG642(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20260])).
% 8.48/2.14  tff(f20260,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG642(X0)))),
% 8.48/2.14    inference(rectify,[],[f15381])).
% 8.48/2.14  tff(f15381,plain,(
% 8.48/2.14    ! [X3 : $o] : (($true = X3) <=> ($true = bG642(X3)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG642])])).
% 8.48/2.14  tff(f44538,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG642(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36239])).
% 8.48/2.14  tff(f61349,plain,(
% 8.48/2.14    aa(nat,option(nat),some(nat),one_one(nat)) = iG643($true)),
% 8.48/2.14    inference(equality_resolution,[],[f44535])).
% 8.48/2.14  tff(f44535,plain,(
% 8.48/2.14    ( ! [X1 : $o] : (aa(nat,option(nat),some(nat),one_one(nat)) = iG643(X1) | ($true != X1)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26090])).
% 8.48/2.14  tff(f26090,plain,(
% 8.48/2.14    ! [X0 : $o] : (none(nat) = iG643(X0) | ($true = X0)) & ! [X1 : $o] : (aa(nat,option(nat),some(nat),one_one(nat)) = iG643(X1) | ($true != X1))),
% 8.48/2.14    inference(ennf_transformation,[],[f20259])).
% 8.48/2.14  tff(f20259,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true != X0) => none(nat) = iG643(X0)) & ! [X1 : $o] : (($true = X1) => aa(nat,option(nat),some(nat),one_one(nat)) = iG643(X1))),
% 8.48/2.14    inference(flattening,[],[f20258])).
% 8.48/2.14  tff(f20258,plain,(
% 8.48/2.14    ! [X0 : $o] : (~($true = X0) => none(nat) = iG643(X0)) & ! [X1 : $o] : (($true = X1) => aa(nat,option(nat),some(nat),one_one(nat)) = iG643(X1))),
% 8.48/2.14    inference(rectify,[],[f15382])).
% 8.48/2.14  tff(f15382,plain,(
% 8.48/2.14    ! [X3 : $o] : (~($true = X3) => none(nat) = iG643(X3)) & ! [X3 : $o] : (($true = X3) => aa(nat,option(nat),some(nat),one_one(nat)) = iG643(X3))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG643])])).
% 8.48/2.14  tff(f44536,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (none(nat) = iG643(X0) | ($true = X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26090])).
% 8.48/2.14  tff(f61348,plain,(
% 8.48/2.14    ( ! [X3 : $o] : (aa(nat,option(nat),some(nat),zero_zero(nat)) = iG644($true,X3)) )),
% 8.48/2.14    inference(equality_resolution,[],[f44533])).
% 8.48/2.14  tff(f44533,plain,(
% 8.48/2.14    ( ! [X2 : $o,X3 : $o] : (aa(nat,option(nat),some(nat),zero_zero(nat)) = iG644(X2,X3) | ($true != X2)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26089])).
% 8.48/2.14  tff(f26089,plain,(
% 8.48/2.14    ! [X0 : $o,X1 : $o] : (iG643(X1) = iG644(X0,X1) | ($true = X0)) & ! [X2 : $o,X3 : $o] : (aa(nat,option(nat),some(nat),zero_zero(nat)) = iG644(X2,X3) | ($true != X2))),
% 8.48/2.14    inference(ennf_transformation,[],[f20257])).
% 8.48/2.14  tff(f20257,plain,(
% 8.48/2.14    ! [X0 : $o,X1 : $o] : (($true != X0) => iG643(X1) = iG644(X0,X1)) & ! [X2 : $o,X3 : $o] : (($true = X2) => aa(nat,option(nat),some(nat),zero_zero(nat)) = iG644(X2,X3))),
% 8.48/2.14    inference(flattening,[],[f20256])).
% 8.48/2.14  tff(f20256,plain,(
% 8.48/2.14    ! [X0 : $o,X1 : $o] : (~($true = X0) => iG643(X1) = iG644(X0,X1)) & ! [X2 : $o,X3 : $o] : (($true = X2) => aa(nat,option(nat),some(nat),zero_zero(nat)) = iG644(X2,X3))),
% 8.48/2.14    inference(rectify,[],[f15383])).
% 8.48/2.14  tff(f15383,plain,(
% 8.48/2.14    ! [X2 : $o,X3 : $o] : (~($true = X2) => iG643(X3) = iG644(X2,X3)) & ! [X2 : $o,X3 : $o] : (($true = X2) => aa(nat,option(nat),some(nat),zero_zero(nat)) = iG644(X2,X3))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG644])])).
% 8.48/2.14  tff(f44534,plain,(
% 8.48/2.14    ( ! [X0 : $o,X1 : $o] : (iG643(X1) = iG644(X0,X1) | ($true = X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26089])).
% 8.48/2.14  tff(f61347,plain,(
% 8.48/2.14    ($true = bG645($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44531])).
% 8.48/2.14  tff(f44531,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG645(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36238])).
% 8.48/2.14  tff(f36238,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG645(X0))) & (($true = bG645(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20255])).
% 8.48/2.14  tff(f20255,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG645(X0)))),
% 8.48/2.14    inference(rectify,[],[f15386])).
% 8.48/2.14  tff(f15386,plain,(
% 8.48/2.14    ! [X2 : $o] : (($true = X2) <=> ($true = bG645(X2)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG645])])).
% 8.48/2.14  tff(f44532,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG645(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36238])).
% 8.48/2.14  tff(f61346,plain,(
% 8.48/2.14    ($true = bG646($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44529])).
% 8.48/2.14  tff(f44529,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG646(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36237])).
% 8.48/2.14  tff(f36237,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG646(X0))) & (($true = bG646(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20254])).
% 8.48/2.14  tff(f20254,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG646(X0)))),
% 8.48/2.14    inference(rectify,[],[f15387])).
% 8.48/2.14  tff(f15387,plain,(
% 8.48/2.14    ! [X3 : $o] : (($true = X3) <=> ($true = bG646(X3)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG646])])).
% 8.48/2.14  tff(f44530,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG646(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36237])).
% 8.48/2.14  tff(f61345,plain,(
% 8.48/2.14    aa(nat,option(nat),some(nat),one_one(nat)) = iG647($true)),
% 8.48/2.14    inference(equality_resolution,[],[f44527])).
% 8.48/2.14  tff(f44527,plain,(
% 8.48/2.14    ( ! [X1 : $o] : (aa(nat,option(nat),some(nat),one_one(nat)) = iG647(X1) | ($true != X1)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26088])).
% 8.48/2.14  tff(f26088,plain,(
% 8.48/2.14    ! [X0 : $o] : (none(nat) = iG647(X0) | ($true = X0)) & ! [X1 : $o] : (aa(nat,option(nat),some(nat),one_one(nat)) = iG647(X1) | ($true != X1))),
% 8.48/2.14    inference(ennf_transformation,[],[f20253])).
% 8.48/2.14  tff(f20253,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true != X0) => none(nat) = iG647(X0)) & ! [X1 : $o] : (($true = X1) => aa(nat,option(nat),some(nat),one_one(nat)) = iG647(X1))),
% 8.48/2.14    inference(flattening,[],[f20252])).
% 8.48/2.14  tff(f20252,plain,(
% 8.48/2.14    ! [X0 : $o] : (~($true = X0) => none(nat) = iG647(X0)) & ! [X1 : $o] : (($true = X1) => aa(nat,option(nat),some(nat),one_one(nat)) = iG647(X1))),
% 8.48/2.14    inference(rectify,[],[f15388])).
% 8.48/2.14  tff(f15388,plain,(
% 8.48/2.14    ! [X3 : $o] : (~($true = X3) => none(nat) = iG647(X3)) & ! [X3 : $o] : (($true = X3) => aa(nat,option(nat),some(nat),one_one(nat)) = iG647(X3))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG647])])).
% 8.48/2.14  tff(f44528,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (none(nat) = iG647(X0) | ($true = X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26088])).
% 8.48/2.14  tff(f61344,plain,(
% 8.48/2.14    ( ! [X3 : $o] : (aa(nat,option(nat),some(nat),zero_zero(nat)) = iG648($true,X3)) )),
% 8.48/2.14    inference(equality_resolution,[],[f44525])).
% 8.48/2.14  tff(f44525,plain,(
% 8.48/2.14    ( ! [X2 : $o,X3 : $o] : (aa(nat,option(nat),some(nat),zero_zero(nat)) = iG648(X2,X3) | ($true != X2)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26087])).
% 8.48/2.14  tff(f26087,plain,(
% 8.48/2.14    ! [X0 : $o,X1 : $o] : (iG647(X1) = iG648(X0,X1) | ($true = X0)) & ! [X2 : $o,X3 : $o] : (aa(nat,option(nat),some(nat),zero_zero(nat)) = iG648(X2,X3) | ($true != X2))),
% 8.48/2.14    inference(ennf_transformation,[],[f20251])).
% 8.48/2.14  tff(f20251,plain,(
% 8.48/2.14    ! [X0 : $o,X1 : $o] : (($true != X0) => iG647(X1) = iG648(X0,X1)) & ! [X2 : $o,X3 : $o] : (($true = X2) => aa(nat,option(nat),some(nat),zero_zero(nat)) = iG648(X2,X3))),
% 8.48/2.14    inference(flattening,[],[f20250])).
% 8.48/2.14  tff(f20250,plain,(
% 8.48/2.14    ! [X0 : $o,X1 : $o] : (~($true = X0) => iG647(X1) = iG648(X0,X1)) & ! [X2 : $o,X3 : $o] : (($true = X2) => aa(nat,option(nat),some(nat),zero_zero(nat)) = iG648(X2,X3))),
% 8.48/2.14    inference(rectify,[],[f15389])).
% 8.48/2.14  tff(f15389,plain,(
% 8.48/2.14    ! [X2 : $o,X3 : $o] : (~($true = X2) => iG647(X3) = iG648(X2,X3)) & ! [X2 : $o,X3 : $o] : (($true = X2) => aa(nat,option(nat),some(nat),zero_zero(nat)) = iG648(X2,X3))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG648])])).
% 8.48/2.14  tff(f44526,plain,(
% 8.48/2.14    ( ! [X0 : $o,X1 : $o] : (iG647(X1) = iG648(X0,X1) | ($true = X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26087])).
% 8.48/2.14  tff(f61343,plain,(
% 8.48/2.14    ($true = bG649($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44523])).
% 8.48/2.14  tff(f44523,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG649(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36236])).
% 8.48/2.14  tff(f36236,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG649(X0))) & (($true = bG649(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20249])).
% 8.48/2.14  tff(f20249,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG649(X0)))),
% 8.48/2.14    inference(rectify,[],[f15390])).
% 8.48/2.14  tff(f15390,plain,(
% 8.48/2.14    ! [X2 : $o] : (($true = X2) <=> ($true = bG649(X2)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG649])])).
% 8.48/2.14  tff(f44524,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG649(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36236])).
% 8.48/2.14  tff(f61342,plain,(
% 8.48/2.14    ($true = bG650($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44521])).
% 8.48/2.14  tff(f44521,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG650(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36235])).
% 8.48/2.14  tff(f36235,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG650(X0))) & (($true = bG650(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20248])).
% 8.48/2.14  tff(f20248,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG650(X0)))),
% 8.48/2.14    inference(rectify,[],[f15391])).
% 8.48/2.14  tff(f15391,plain,(
% 8.48/2.14    ! [X3 : $o] : (($true = X3) <=> ($true = bG650(X3)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG650])])).
% 8.48/2.14  tff(f44522,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG650(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36235])).
% 8.48/2.14  tff(f61341,plain,(
% 8.48/2.14    ( ! [X3 : $tType] : (zero_zero(nat) = iG651(X3,nil(list(X3)))) )),
% 8.48/2.14    inference(equality_resolution,[],[f44519])).
% 8.48/2.14  tff(f44519,plain,(
% 8.48/2.14    ( ! [X3 : $tType,X2 : list(list(X3))] : (zero_zero(nat) = iG651(X3,X2) | nil(list(X3)) != X2) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26086])).
% 8.48/2.14  tff(f26086,plain,(
% 8.48/2.14    ! [X0 : list(list(X1)),X1 : $tType] : (aa(list(X1),nat,size_size(list(X1)),aa(nat,list(X1),nth(list(X1),X0),zero_zero(nat))) = iG651(X1,X0) | nil(list(X1)) = X0) & ! [X2 : list(list(X3)),X3 : $tType] : (zero_zero(nat) = iG651(X3,X2) | nil(list(X3)) != X2)),
% 8.48/2.14    inference(ennf_transformation,[],[f20247])).
% 8.48/2.14  tff(f20247,plain,(
% 8.48/2.14    ! [X0 : list(list(X1)),X1 : $tType] : (nil(list(X1)) != X0 => aa(list(X1),nat,size_size(list(X1)),aa(nat,list(X1),nth(list(X1),X0),zero_zero(nat))) = iG651(X1,X0)) & ! [X2 : list(list(X3)),X3 : $tType] : (nil(list(X3)) = X2 => zero_zero(nat) = iG651(X3,X2))),
% 8.48/2.14    inference(flattening,[],[f20246])).
% 8.48/2.14  tff(f20246,plain,(
% 8.48/2.14    ! [X0 : list(list(X1)),X1 : $tType] : (~nil(list(X1)) = X0 => aa(list(X1),nat,size_size(list(X1)),aa(nat,list(X1),nth(list(X1),X0),zero_zero(nat))) = iG651(X1,X0)) & ! [X2 : list(list(X3)),X3 : $tType] : (nil(list(X3)) = X2 => zero_zero(nat) = iG651(X3,X2))),
% 8.48/2.14    inference(rectify,[],[f15418])).
% 8.48/2.14  tff(f15418,plain,(
% 8.48/2.14    ! [X1 : list(list(X0)),X0 : $tType] : (~nil(list(X0)) = X1 => aa(list(X0),nat,size_size(list(X0)),aa(nat,list(X0),nth(list(X0),X1),zero_zero(nat))) = iG651(X0,X1)) & ! [X1 : list(list(X0)),X0 : $tType] : (nil(list(X0)) = X1 => zero_zero(nat) = iG651(X0,X1))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG651])])).
% 8.48/2.14  tff(f44520,plain,(
% 8.48/2.14    ( ! [X1 : $tType,X0 : list(list(X1))] : (aa(list(X1),nat,size_size(list(X1)),aa(nat,list(X1),nth(list(X1),X0),zero_zero(nat))) = iG651(X1,X0) | nil(list(X1)) = X0) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26086])).
% 8.48/2.14  tff(f44517,plain,(
% 8.48/2.14    ( ! [X9 : $tType,X6 : $tType,X10 : fun(X9,X6),X11 : fun(X9,X6),X8 : X9,X7 : X9] : (aa(X9,X6,X11,X8) = iG652(X6,X9,X7,X8,X10,X11) | ($true != aa(X9,$o,aa(X9,fun(X9,$o),ord_less_eq(X9),X8),X7))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26085])).
% 8.48/2.14  tff(f26085,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : X3,X2 : X3,X3 : $tType,X4 : fun(X3,X0),X5 : fun(X3,X0)] : (aa(X3,X0,X4,X2) = iG652(X0,X3,X1,X2,X4,X5) | ($true = aa(X3,$o,aa(X3,fun(X3,$o),ord_less_eq(X3),X2),X1))) & ! [X6 : $tType,X7 : X9,X8 : X9,X9 : $tType,X10 : fun(X9,X6),X11 : fun(X9,X6)] : (aa(X9,X6,X11,X8) = iG652(X6,X9,X7,X8,X10,X11) | ($true != aa(X9,$o,aa(X9,fun(X9,$o),ord_less_eq(X9),X8),X7)))),
% 8.48/2.14    inference(ennf_transformation,[],[f20245])).
% 8.48/2.14  tff(f20245,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : X3,X2 : X3,X3 : $tType,X4 : fun(X3,X0),X5 : fun(X3,X0)] : (($true != aa(X3,$o,aa(X3,fun(X3,$o),ord_less_eq(X3),X2),X1)) => aa(X3,X0,X4,X2) = iG652(X0,X3,X1,X2,X4,X5)) & ! [X6 : $tType,X7 : X9,X8 : X9,X9 : $tType,X10 : fun(X9,X6),X11 : fun(X9,X6)] : (($true = aa(X9,$o,aa(X9,fun(X9,$o),ord_less_eq(X9),X8),X7)) => aa(X9,X6,X11,X8) = iG652(X6,X9,X7,X8,X10,X11))),
% 8.48/2.14    inference(flattening,[],[f20244])).
% 8.48/2.14  tff(f20244,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : X3,X2 : X3,X3 : $tType,X4 : fun(X3,X0),X5 : fun(X3,X0)] : (~($true = aa(X3,$o,aa(X3,fun(X3,$o),ord_less_eq(X3),X2),X1)) => aa(X3,X0,X4,X2) = iG652(X0,X3,X1,X2,X4,X5)) & ! [X6 : $tType,X7 : X9,X8 : X9,X9 : $tType,X10 : fun(X9,X6),X11 : fun(X9,X6)] : (($true = aa(X9,$o,aa(X9,fun(X9,$o),ord_less_eq(X9),X8),X7)) => aa(X9,X6,X11,X8) = iG652(X6,X9,X7,X8,X10,X11))),
% 8.48/2.14    inference(rectify,[],[f15491])).
% 8.48/2.14  tff(f15491,plain,(
% 8.48/2.14    ! [X0 : $tType,X2 : X1,X5 : X1,X1 : $tType,X4 : fun(X1,X0),X3 : fun(X1,X0)] : (~($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less_eq(X1),X5),X2)) => aa(X1,X0,X4,X5) = iG652(X0,X1,X2,X5,X4,X3)) & ! [X0 : $tType,X2 : X1,X5 : X1,X1 : $tType,X4 : fun(X1,X0),X3 : fun(X1,X0)] : (($true = aa(X1,$o,aa(X1,fun(X1,$o),ord_less_eq(X1),X5),X2)) => aa(X1,X0,X3,X5) = iG652(X0,X1,X2,X5,X4,X3))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG652])])).
% 8.48/2.14  tff(f44518,plain,(
% 8.48/2.14    ( ! [X0 : $tType,X3 : $tType,X2 : X3,X1 : X3,X4 : fun(X3,X0),X5 : fun(X3,X0)] : (aa(X3,X0,X4,X2) = iG652(X0,X3,X1,X2,X4,X5) | ($true = aa(X3,$o,aa(X3,fun(X3,$o),ord_less_eq(X3),X2),X1))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26085])).
% 8.48/2.14  tff(f61340,plain,(
% 8.48/2.14    ($true = bG653($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44515])).
% 8.48/2.14  tff(f44515,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG653(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36234])).
% 8.48/2.14  tff(f36234,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG653(X0))) & (($true = bG653(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20243])).
% 8.48/2.14  tff(f20243,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG653(X0)))),
% 8.48/2.14    inference(rectify,[],[f15604])).
% 8.48/2.14  tff(f15604,plain,(
% 8.48/2.14    ! [X2 : $o] : (($true = X2) <=> ($true = bG653(X2)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG653])])).
% 8.48/2.14  tff(f44516,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG653(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36234])).
% 8.48/2.14  tff(f61339,plain,(
% 8.48/2.14    ($true = bG654($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44513])).
% 8.48/2.14  tff(f44513,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG654(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36233])).
% 8.48/2.14  tff(f36233,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG654(X0))) & (($true = bG654(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20242])).
% 8.48/2.14  tff(f20242,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG654(X0)))),
% 8.48/2.14    inference(rectify,[],[f15605])).
% 8.48/2.14  tff(f15605,plain,(
% 8.48/2.14    ! [X3 : $o] : (($true = X3) <=> ($true = bG654(X3)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG654])])).
% 8.48/2.14  tff(f44514,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG654(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36233])).
% 8.48/2.14  tff(f61338,plain,(
% 8.48/2.14    ($true = bG655($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44511])).
% 8.48/2.14  tff(f44511,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG655(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36232])).
% 8.48/2.14  tff(f36232,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG655(X0))) & (($true = bG655(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20241])).
% 8.48/2.14  tff(f20241,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG655(X0)))),
% 8.48/2.14    inference(rectify,[],[f15608])).
% 8.48/2.14  tff(f15608,plain,(
% 8.48/2.14    ! [X2 : $o] : (($true = X2) <=> ($true = bG655(X2)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG655])])).
% 8.48/2.14  tff(f44512,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG655(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36232])).
% 8.48/2.14  tff(f61337,plain,(
% 8.48/2.14    ($true = bG656($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44509])).
% 8.48/2.14  tff(f44509,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG656(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36231])).
% 8.48/2.14  tff(f36231,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG656(X0))) & (($true = bG656(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20240])).
% 8.48/2.14  tff(f20240,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG656(X0)))),
% 8.48/2.14    inference(rectify,[],[f15609])).
% 8.48/2.14  tff(f15609,plain,(
% 8.48/2.14    ! [X2 : $o] : (($true = X2) <=> ($true = bG656(X2)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG656])])).
% 8.48/2.14  tff(f44510,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG656(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36231])).
% 8.48/2.14  tff(f61336,plain,(
% 8.48/2.14    ($true = bG657($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44507])).
% 8.48/2.14  tff(f44507,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG657(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36230])).
% 8.48/2.14  tff(f36230,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG657(X0))) & (($true = bG657(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20239])).
% 8.48/2.14  tff(f20239,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG657(X0)))),
% 8.48/2.14    inference(rectify,[],[f15610])).
% 8.48/2.14  tff(f15610,plain,(
% 8.48/2.14    ! [X3 : $o] : (($true = X3) <=> ($true = bG657(X3)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG657])])).
% 8.48/2.14  tff(f44508,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG657(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36230])).
% 8.48/2.14  tff(f61335,plain,(
% 8.48/2.14    ($true = bG658($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44505])).
% 8.48/2.14  tff(f44505,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG658(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36229])).
% 8.48/2.14  tff(f36229,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG658(X0))) & (($true = bG658(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20238])).
% 8.48/2.14  tff(f20238,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG658(X0)))),
% 8.48/2.14    inference(rectify,[],[f15611])).
% 8.48/2.14  tff(f15611,plain,(
% 8.48/2.14    ! [X3 : $o] : (($true = X3) <=> ($true = bG658(X3)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG658])])).
% 8.48/2.14  tff(f44506,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG658(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36229])).
% 8.48/2.14  tff(f61334,plain,(
% 8.48/2.14    ($true = bG659($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44503])).
% 8.48/2.14  tff(f44503,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG659(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36228])).
% 8.48/2.14  tff(f36228,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG659(X0))) & (($true = bG659(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20237])).
% 8.48/2.14  tff(f20237,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG659(X0)))),
% 8.48/2.14    inference(rectify,[],[f15616])).
% 8.48/2.14  tff(f15616,plain,(
% 8.48/2.14    ! [X2 : $o] : (($true = X2) <=> ($true = bG659(X2)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG659])])).
% 8.48/2.14  tff(f44504,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG659(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36228])).
% 8.48/2.14  tff(f61333,plain,(
% 8.48/2.14    ($true = bG660($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44501])).
% 8.48/2.14  tff(f44501,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG660(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36227])).
% 8.48/2.14  tff(f36227,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG660(X0))) & (($true = bG660(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20236])).
% 8.48/2.14  tff(f20236,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG660(X0)))),
% 8.48/2.14    inference(rectify,[],[f15617])).
% 8.48/2.14  tff(f15617,plain,(
% 8.48/2.14    ! [X3 : $o] : (($true = X3) <=> ($true = bG660(X3)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG660])])).
% 8.48/2.14  tff(f44502,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG660(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36227])).
% 8.48/2.14  tff(f61331,plain,(
% 8.48/2.14    iG661(one_one(nat),$true)),
% 8.48/2.14    inference(equality_resolution,[],[f61330])).
% 8.48/2.14  tff(f61330,plain,(
% 8.48/2.14    ( ! [X2 : nat] : (iG661(X2,$true) | one_one(nat) != X2) )),
% 8.48/2.14    inference(equality_resolution,[],[f44499])).
% 8.48/2.14  tff(f44499,plain,(
% 8.48/2.14    ( ! [X2 : nat,X3 : $o] : (iG661(X2,X3) | ($true != X3) | one_one(nat) != X2) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36226])).
% 8.48/2.14  tff(f36226,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : $o] : (~iG661(X0,X1) | one_one(nat) = X0) & ! [X2 : nat,X3 : $o] : (((iG661(X2,X3) | ($true != X3)) & (($true = X3) | ~iG661(X2,X3))) | one_one(nat) != X2)),
% 8.48/2.14    inference(nnf_transformation,[],[f26084])).
% 8.48/2.14  tff(f26084,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : $o] : (~iG661(X0,X1) | one_one(nat) = X0) & ! [X2 : nat,X3 : $o] : ((iG661(X2,X3) <=> ($true = X3)) | one_one(nat) != X2)),
% 8.48/2.14    inference(ennf_transformation,[],[f20235])).
% 8.48/2.14  tff(f20235,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : $o] : (one_one(nat) != X0 => ~iG661(X0,X1)) & ! [X2 : nat,X3 : $o] : (one_one(nat) = X2 => (iG661(X2,X3) <=> ($true = X3)))),
% 8.48/2.14    inference(flattening,[],[f20234])).
% 8.48/2.14  tff(f20234,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : $o] : (~one_one(nat) = X0 => ~iG661(X0,X1)) & ! [X2 : nat,X3 : $o] : (one_one(nat) = X2 => (iG661(X2,X3) <=> ($true = X3)))),
% 8.48/2.14    inference(true_and_false_elimination,[],[f20233])).
% 8.48/2.14  tff(f20233,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : $o] : (~one_one(nat) = X0 => (iG661(X0,X1) <=> $false)) & ! [X2 : nat,X3 : $o] : (one_one(nat) = X2 => (iG661(X2,X3) <=> ($true = X3)))),
% 8.48/2.14    inference(rectify,[],[f15618])).
% 8.48/2.14  tff(f15618,plain,(
% 8.48/2.14    ! [X1 : nat,X3 : $o] : (~one_one(nat) = X1 => (iG661(X1,X3) <=> $false)) & ! [X1 : nat,X3 : $o] : (one_one(nat) = X1 => (iG661(X1,X3) <=> ($true = X3)))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG661])])).
% 8.48/2.14  tff(f61328,plain,(
% 8.48/2.14    ( ! [X4 : $o] : (iG662(zero_zero(nat),X4,$true)) )),
% 8.48/2.14    inference(equality_resolution,[],[f61327])).
% 8.48/2.14  tff(f61327,plain,(
% 8.48/2.14    ( ! [X3 : nat,X4 : $o] : (iG662(X3,X4,$true) | zero_zero(nat) != X3) )),
% 8.48/2.14    inference(equality_resolution,[],[f44495])).
% 8.48/2.14  tff(f44495,plain,(
% 8.48/2.14    ( ! [X3 : nat,X4 : $o,X5 : $o] : (iG662(X3,X4,X5) | ($true != X5) | zero_zero(nat) != X3) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36225])).
% 8.48/2.14  tff(f36225,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : $o,X2 : $o] : (((iG662(X0,X1,X2) | ~iG661(X0,X1)) & (iG661(X0,X1) | ~iG662(X0,X1,X2))) | zero_zero(nat) = X0) & ! [X3 : nat,X4 : $o,X5 : $o] : (((iG662(X3,X4,X5) | ($true != X5)) & (($true = X5) | ~iG662(X3,X4,X5))) | zero_zero(nat) != X3)),
% 8.48/2.14    inference(nnf_transformation,[],[f26083])).
% 8.48/2.14  tff(f26083,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : $o,X2 : $o] : ((iG662(X0,X1,X2) <=> iG661(X0,X1)) | zero_zero(nat) = X0) & ! [X3 : nat,X4 : $o,X5 : $o] : ((iG662(X3,X4,X5) <=> ($true = X5)) | zero_zero(nat) != X3)),
% 8.48/2.14    inference(ennf_transformation,[],[f20232])).
% 8.48/2.14  tff(f20232,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : $o,X2 : $o] : (zero_zero(nat) != X0 => (iG662(X0,X1,X2) <=> iG661(X0,X1))) & ! [X3 : nat,X4 : $o,X5 : $o] : (zero_zero(nat) = X3 => (iG662(X3,X4,X5) <=> ($true = X5)))),
% 8.48/2.14    inference(flattening,[],[f20231])).
% 8.48/2.14  tff(f20231,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : $o,X2 : $o] : (~zero_zero(nat) = X0 => (iG662(X0,X1,X2) <=> iG661(X0,X1))) & ! [X3 : nat,X4 : $o,X5 : $o] : (zero_zero(nat) = X3 => (iG662(X3,X4,X5) <=> ($true = X5)))),
% 8.48/2.14    inference(rectify,[],[f15619])).
% 8.48/2.14  tff(f15619,plain,(
% 8.48/2.14    ! [X1 : nat,X3 : $o,X2 : $o] : (~zero_zero(nat) = X1 => (iG662(X1,X3,X2) <=> iG661(X1,X3))) & ! [X1 : nat,X3 : $o,X2 : $o] : (zero_zero(nat) = X1 => (iG662(X1,X3,X2) <=> ($true = X2)))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG662])])).
% 8.48/2.14  tff(f44497,plain,(
% 8.48/2.14    ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG662(X0,X1,X2) | ~iG661(X0,X1) | zero_zero(nat) = X0) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36225])).
% 8.48/2.14  tff(f44493,plain,(
% 8.48/2.14    ( ! [X0 : nat,X1 : nat] : (vEBT_VEBT_high(X0,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X1)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG663(X0,X1)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f20230])).
% 8.48/2.14  tff(f20230,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : vEBT_VEBT_high(X0,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X1)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG663(X0,X1)),
% 8.48/2.14    inference(rectify,[],[f15620])).
% 8.48/2.14  tff(f15620,plain,(
% 8.48/2.14    ! [X1 : nat,X15 : nat] : vEBT_VEBT_high(X1,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X15)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG663(X1,X15)),
% 8.48/2.14    introduced(fool_let_definition,[new_symbols(definition,[lG663])])).
% 8.48/2.14  tff(f44491,plain,(
% 8.48/2.14    ( ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (iG664(X3,X4,X5) | ($true != aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG663(X5,X4))),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X4)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG663(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3)))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36224])).
% 8.48/2.14  tff(f36224,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~iG664(X0,X1,X2) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG663(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (((iG664(X3,X4,X5) | ($true != aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG663(X5,X4))),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X4)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))) & (($true = aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG663(X5,X4))),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X4)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) | ~iG664(X3,X4,X5))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG663(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))),
% 8.48/2.14    inference(nnf_transformation,[],[f26082])).
% 8.48/2.14  tff(f26082,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~iG664(X0,X1,X2) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG663(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : ((iG664(X3,X4,X5) <=> ($true = aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG663(X5,X4))),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X4)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG663(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))),
% 8.48/2.14    inference(ennf_transformation,[],[f20229])).
% 8.48/2.14  tff(f20229,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG663(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => ~iG664(X0,X1,X2)) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG663(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (iG664(X3,X4,X5) <=> ($true = aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG663(X5,X4))),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X4)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))))),
% 8.48/2.14    inference(flattening,[],[f20228])).
% 8.48/2.14  tff(f20228,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG663(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => ~iG664(X0,X1,X2)) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG663(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (iG664(X3,X4,X5) <=> ($true = aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG663(X5,X4))),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X4)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))))),
% 8.48/2.14    inference(true_and_false_elimination,[],[f20227])).
% 8.48/2.14  tff(f20227,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG663(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => (iG664(X0,X1,X2) <=> $false)) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG663(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (iG664(X3,X4,X5) <=> ($true = aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG663(X5,X4))),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X4)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))))),
% 8.48/2.14    inference(rectify,[],[f15621])).
% 8.48/2.14  tff(f15621,plain,(
% 8.48/2.14    ! [X16 : list(vEBT_VEBT),X15 : nat,X1 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG663(X1,X15)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X16))) => (iG664(X16,X15,X1) <=> $false)) & ! [X16 : list(vEBT_VEBT),X15 : nat,X1 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG663(X1,X15)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X16))) => (iG664(X16,X15,X1) <=> ($true = aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X16),lG663(X1,X15))),vEBT_VEBT_low(X1,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X15)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG664])])).
% 8.48/2.14  tff(f44489,plain,(
% 8.48/2.14    ( ! [X2 : nat,X3 : list(vEBT_VEBT),X0 : nat,X1 : nat] : (iG665(X0,X1,X2,X3) | ~iG664(X3,X2,X0) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36223])).
% 8.48/2.14  tff(f36223,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT)] : (((iG665(X0,X1,X2,X3) | ~iG664(X3,X2,X0)) & (iG664(X3,X2,X0) | ~iG665(X0,X1,X2,X3))) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) & ! [X4 : nat,X5 : nat,X6 : nat,X7 : list(vEBT_VEBT)] : (~iG665(X4,X5,X6,X7) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),X4)))),
% 8.48/2.14    inference(nnf_transformation,[],[f26081])).
% 8.48/2.14  tff(f26081,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT)] : ((iG665(X0,X1,X2,X3) <=> iG664(X3,X2,X0)) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) & ! [X4 : nat,X5 : nat,X6 : nat,X7 : list(vEBT_VEBT)] : (~iG665(X4,X5,X6,X7) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),X4)))),
% 8.48/2.14    inference(ennf_transformation,[],[f20226])).
% 8.48/2.14  tff(f20226,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT)] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) => (iG665(X0,X1,X2,X3) <=> iG664(X3,X2,X0))) & ! [X4 : nat,X5 : nat,X6 : nat,X7 : list(vEBT_VEBT)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),X4)) => ~iG665(X4,X5,X6,X7))),
% 8.48/2.14    inference(flattening,[],[f20225])).
% 8.48/2.14  tff(f20225,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT)] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) => (iG665(X0,X1,X2,X3) <=> iG664(X3,X2,X0))) & ! [X4 : nat,X5 : nat,X6 : nat,X7 : list(vEBT_VEBT)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),X4)) => ~iG665(X4,X5,X6,X7))),
% 8.48/2.14    inference(true_and_false_elimination,[],[f20224])).
% 8.48/2.14  tff(f20224,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT)] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) => (iG665(X0,X1,X2,X3) <=> iG664(X3,X2,X0))) & ! [X4 : nat,X5 : nat,X6 : nat,X7 : list(vEBT_VEBT)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),X4)) => (iG665(X4,X5,X6,X7) <=> $false))),
% 8.48/2.14    inference(rectify,[],[f15622])).
% 8.48/2.14  tff(f15622,plain,(
% 8.48/2.14    ! [X1 : nat,X14 : nat,X15 : nat,X16 : list(vEBT_VEBT)] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X14),X1)) => (iG665(X1,X14,X15,X16) <=> iG664(X16,X15,X1))) & ! [X1 : nat,X14 : nat,X15 : nat,X16 : list(vEBT_VEBT)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X14),X1)) => (iG665(X1,X14,X15,X16) <=> $false))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG665])])).
% 8.48/2.14  tff(f44486,plain,(
% 8.48/2.14    ( ! [X2 : nat,X3 : nat,X0 : nat,X1 : nat,X4 : list(vEBT_VEBT)] : (iG666(X0,X1,X2,X3,X4) | ~iG665(X1,X2,X3,X4) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36222])).
% 8.48/2.14  tff(f36222,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (((iG666(X0,X1,X2,X3,X4) | ~iG665(X1,X2,X3,X4)) & (iG665(X1,X2,X3,X4) | ~iG666(X0,X1,X2,X3,X4))) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (~iG666(X5,X6,X7,X8,X9) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X5)))),
% 8.48/2.14    inference(nnf_transformation,[],[f26080])).
% 8.48/2.14  tff(f26080,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : ((iG666(X0,X1,X2,X3,X4) <=> iG665(X1,X2,X3,X4)) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (~iG666(X5,X6,X7,X8,X9) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X5)))),
% 8.48/2.14    inference(ennf_transformation,[],[f20223])).
% 8.48/2.14  tff(f20223,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) => (iG666(X0,X1,X2,X3,X4) <=> iG665(X1,X2,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X5)) => ~iG666(X5,X6,X7,X8,X9))),
% 8.48/2.14    inference(flattening,[],[f20222])).
% 8.48/2.14  tff(f20222,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) => (iG666(X0,X1,X2,X3,X4) <=> iG665(X1,X2,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X5)) => ~iG666(X5,X6,X7,X8,X9))),
% 8.48/2.14    inference(true_and_false_elimination,[],[f20221])).
% 8.48/2.14  tff(f20221,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) => (iG666(X0,X1,X2,X3,X4) <=> iG665(X1,X2,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X5)) => (iG666(X5,X6,X7,X8,X9) <=> $false))),
% 8.48/2.14    inference(rectify,[],[f15623])).
% 8.48/2.14  tff(f15623,plain,(
% 8.48/2.14    ! [X13 : nat,X1 : nat,X14 : nat,X15 : nat,X16 : list(vEBT_VEBT)] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X13)) => (iG666(X13,X1,X14,X15,X16) <=> iG665(X1,X14,X15,X16))) & ! [X13 : nat,X1 : nat,X14 : nat,X15 : nat,X16 : list(vEBT_VEBT)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X13)) => (iG666(X13,X1,X14,X15,X16) <=> $false))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG666])])).
% 8.48/2.14  tff(f61326,plain,(
% 8.48/2.14    ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat] : (iG667(X6,X6,X7,X8,X9)) )),
% 8.48/2.14    inference(equality_resolution,[],[f44481])).
% 8.48/2.14  tff(f44481,plain,(
% 8.48/2.14    ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat,X5 : nat] : (iG667(X5,X6,X7,X8,X9) | X5 != X6) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36221])).
% 8.48/2.14  tff(f36221,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (((iG667(X0,X1,X2,X3,X4) | ~iG666(X2,X1,X0,X3,X4)) & (iG666(X2,X1,X0,X3,X4) | ~iG667(X0,X1,X2,X3,X4))) | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (iG667(X5,X6,X7,X8,X9) | X5 != X6)),
% 8.48/2.14    inference(nnf_transformation,[],[f26079])).
% 8.48/2.14  tff(f26079,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : ((iG667(X0,X1,X2,X3,X4) <=> iG666(X2,X1,X0,X3,X4)) | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (iG667(X5,X6,X7,X8,X9) | X5 != X6)),
% 8.48/2.14    inference(ennf_transformation,[],[f20220])).
% 8.48/2.14  tff(f20220,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (X0 != X1 => (iG667(X0,X1,X2,X3,X4) <=> iG666(X2,X1,X0,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => iG667(X5,X6,X7,X8,X9))),
% 8.48/2.14    inference(flattening,[],[f20219])).
% 8.48/2.14  tff(f20219,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (~X0 = X1 => (iG667(X0,X1,X2,X3,X4) <=> iG666(X2,X1,X0,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => iG667(X5,X6,X7,X8,X9))),
% 8.48/2.14    inference(true_and_false_elimination,[],[f20218])).
% 8.48/2.14  tff(f20218,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (~X0 = X1 => (iG667(X0,X1,X2,X3,X4) <=> iG666(X2,X1,X0,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => (iG667(X5,X6,X7,X8,X9) <=> $true))),
% 8.48/2.14    inference(rectify,[],[f15624])).
% 8.48/2.14  tff(f15624,plain,(
% 8.48/2.14    ! [X14 : nat,X1 : nat,X13 : nat,X15 : nat,X16 : list(vEBT_VEBT)] : (~X1 = X14 => (iG667(X14,X1,X13,X15,X16) <=> iG666(X13,X1,X14,X15,X16))) & ! [X14 : nat,X1 : nat,X13 : nat,X15 : nat,X16 : list(vEBT_VEBT)] : (X1 = X14 => (iG667(X14,X1,X13,X15,X16) <=> $true))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG667])])).
% 8.48/2.14  tff(f44483,plain,(
% 8.48/2.14    ( ! [X2 : nat,X3 : nat,X0 : nat,X1 : nat,X4 : list(vEBT_VEBT)] : (iG667(X0,X1,X2,X3,X4) | ~iG666(X2,X1,X0,X3,X4) | X0 = X1) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36221])).
% 8.48/2.14  tff(f61325,plain,(
% 8.48/2.14    ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat] : (iG668(X6,X6,X7,X8,X9)) )),
% 8.48/2.14    inference(equality_resolution,[],[f44478])).
% 8.48/2.14  tff(f44478,plain,(
% 8.48/2.14    ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat,X5 : nat] : (iG668(X5,X6,X7,X8,X9) | X5 != X6) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36220])).
% 8.48/2.14  tff(f36220,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (((iG668(X0,X1,X2,X3,X4) | ~iG667(X2,X1,X0,X3,X4)) & (iG667(X2,X1,X0,X3,X4) | ~iG668(X0,X1,X2,X3,X4))) | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (iG668(X5,X6,X7,X8,X9) | X5 != X6)),
% 8.48/2.14    inference(nnf_transformation,[],[f26078])).
% 8.48/2.14  tff(f26078,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : ((iG668(X0,X1,X2,X3,X4) <=> iG667(X2,X1,X0,X3,X4)) | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (iG668(X5,X6,X7,X8,X9) | X5 != X6)),
% 8.48/2.14    inference(ennf_transformation,[],[f20217])).
% 8.48/2.14  tff(f20217,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (X0 != X1 => (iG668(X0,X1,X2,X3,X4) <=> iG667(X2,X1,X0,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => iG668(X5,X6,X7,X8,X9))),
% 8.48/2.14    inference(flattening,[],[f20216])).
% 8.48/2.14  tff(f20216,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (~X0 = X1 => (iG668(X0,X1,X2,X3,X4) <=> iG667(X2,X1,X0,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => iG668(X5,X6,X7,X8,X9))),
% 8.48/2.14    inference(true_and_false_elimination,[],[f20215])).
% 8.48/2.14  tff(f20215,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (~X0 = X1 => (iG668(X0,X1,X2,X3,X4) <=> iG667(X2,X1,X0,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => (iG668(X5,X6,X7,X8,X9) <=> $true))),
% 8.48/2.14    inference(rectify,[],[f15625])).
% 8.48/2.14  tff(f15625,plain,(
% 8.48/2.14    ! [X13 : nat,X1 : nat,X14 : nat,X15 : nat,X16 : list(vEBT_VEBT)] : (~X1 = X13 => (iG668(X13,X1,X14,X15,X16) <=> iG667(X14,X1,X13,X15,X16))) & ! [X13 : nat,X1 : nat,X14 : nat,X15 : nat,X16 : list(vEBT_VEBT)] : (X1 = X13 => (iG668(X13,X1,X14,X15,X16) <=> $true))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG668])])).
% 8.48/2.14  tff(f44480,plain,(
% 8.48/2.14    ( ! [X2 : nat,X3 : nat,X0 : nat,X1 : nat,X4 : list(vEBT_VEBT)] : (iG668(X0,X1,X2,X3,X4) | ~iG667(X2,X1,X0,X3,X4) | X0 = X1) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36220])).
% 8.48/2.14  tff(f61324,plain,(
% 8.48/2.14    ($true = bG669($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44476])).
% 8.48/2.14  tff(f44476,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG669(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36219])).
% 8.48/2.14  tff(f36219,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG669(X0))) & (($true = bG669(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20214])).
% 8.48/2.14  tff(f20214,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG669(X0)))),
% 8.48/2.14    inference(rectify,[],[f15628])).
% 8.48/2.14  tff(f15628,plain,(
% 8.48/2.14    ! [X2 : $o] : (($true = X2) <=> ($true = bG669(X2)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG669])])).
% 8.48/2.14  tff(f44477,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG669(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36219])).
% 8.48/2.14  tff(f61323,plain,(
% 8.48/2.14    ($true = bG670($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44474])).
% 8.48/2.14  tff(f44474,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG670(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36218])).
% 8.48/2.14  tff(f36218,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG670(X0))) & (($true = bG670(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20213])).
% 8.48/2.14  tff(f20213,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG670(X0)))),
% 8.48/2.14    inference(rectify,[],[f15629])).
% 8.48/2.14  tff(f15629,plain,(
% 8.48/2.14    ! [X3 : $o] : (($true = X3) <=> ($true = bG670(X3)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG670])])).
% 8.48/2.14  tff(f44475,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG670(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36218])).
% 8.48/2.14  tff(f61322,plain,(
% 8.48/2.14    ($true = bG671($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44472])).
% 8.48/2.14  tff(f44472,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG671(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36217])).
% 8.48/2.14  tff(f36217,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG671(X0))) & (($true = bG671(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20212])).
% 8.48/2.14  tff(f20212,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG671(X0)))),
% 8.48/2.14    inference(rectify,[],[f15630])).
% 8.48/2.14  tff(f15630,plain,(
% 8.48/2.14    ! [X2 : $o] : (($true = X2) <=> ($true = bG671(X2)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG671])])).
% 8.48/2.14  tff(f44473,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG671(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36217])).
% 8.48/2.14  tff(f61321,plain,(
% 8.48/2.14    ($true = bG672($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44470])).
% 8.48/2.14  tff(f44470,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG672(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36216])).
% 8.48/2.14  tff(f36216,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG672(X0))) & (($true = bG672(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20211])).
% 8.48/2.14  tff(f20211,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG672(X0)))),
% 8.48/2.14    inference(rectify,[],[f15631])).
% 8.48/2.14  tff(f15631,plain,(
% 8.48/2.14    ! [X3 : $o] : (($true = X3) <=> ($true = bG672(X3)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG672])])).
% 8.48/2.14  tff(f44471,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG672(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36216])).
% 8.48/2.14  tff(f61319,plain,(
% 8.48/2.14    iG673(one_one(nat),$true)),
% 8.48/2.14    inference(equality_resolution,[],[f61318])).
% 8.48/2.14  tff(f61318,plain,(
% 8.48/2.14    ( ! [X2 : nat] : (iG673(X2,$true) | one_one(nat) != X2) )),
% 8.48/2.14    inference(equality_resolution,[],[f44468])).
% 8.48/2.14  tff(f44468,plain,(
% 8.48/2.14    ( ! [X2 : nat,X3 : $o] : (iG673(X2,X3) | ($true != X3) | one_one(nat) != X2) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36215])).
% 8.48/2.14  tff(f36215,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : $o] : (~iG673(X0,X1) | one_one(nat) = X0) & ! [X2 : nat,X3 : $o] : (((iG673(X2,X3) | ($true != X3)) & (($true = X3) | ~iG673(X2,X3))) | one_one(nat) != X2)),
% 8.48/2.14    inference(nnf_transformation,[],[f26077])).
% 8.48/2.14  tff(f26077,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : $o] : (~iG673(X0,X1) | one_one(nat) = X0) & ! [X2 : nat,X3 : $o] : ((iG673(X2,X3) <=> ($true = X3)) | one_one(nat) != X2)),
% 8.48/2.14    inference(ennf_transformation,[],[f20210])).
% 8.48/2.14  tff(f20210,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : $o] : (one_one(nat) != X0 => ~iG673(X0,X1)) & ! [X2 : nat,X3 : $o] : (one_one(nat) = X2 => (iG673(X2,X3) <=> ($true = X3)))),
% 8.48/2.14    inference(flattening,[],[f20209])).
% 8.48/2.14  tff(f20209,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : $o] : (~one_one(nat) = X0 => ~iG673(X0,X1)) & ! [X2 : nat,X3 : $o] : (one_one(nat) = X2 => (iG673(X2,X3) <=> ($true = X3)))),
% 8.48/2.14    inference(true_and_false_elimination,[],[f20208])).
% 8.48/2.14  tff(f20208,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : $o] : (~one_one(nat) = X0 => (iG673(X0,X1) <=> $false)) & ! [X2 : nat,X3 : $o] : (one_one(nat) = X2 => (iG673(X2,X3) <=> ($true = X3)))),
% 8.48/2.14    inference(rectify,[],[f15632])).
% 8.48/2.14  tff(f15632,plain,(
% 8.48/2.14    ! [X1 : nat,X3 : $o] : (~one_one(nat) = X1 => (iG673(X1,X3) <=> $false)) & ! [X1 : nat,X3 : $o] : (one_one(nat) = X1 => (iG673(X1,X3) <=> ($true = X3)))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG673])])).
% 8.48/2.14  tff(f61316,plain,(
% 8.48/2.14    ( ! [X4 : $o] : (iG674(zero_zero(nat),X4,$true)) )),
% 8.48/2.14    inference(equality_resolution,[],[f61315])).
% 8.48/2.14  tff(f61315,plain,(
% 8.48/2.14    ( ! [X3 : nat,X4 : $o] : (iG674(X3,X4,$true) | zero_zero(nat) != X3) )),
% 8.48/2.14    inference(equality_resolution,[],[f44464])).
% 8.48/2.14  tff(f44464,plain,(
% 8.48/2.14    ( ! [X3 : nat,X4 : $o,X5 : $o] : (iG674(X3,X4,X5) | ($true != X5) | zero_zero(nat) != X3) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36214])).
% 8.48/2.14  tff(f36214,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : $o,X2 : $o] : (((iG674(X0,X1,X2) | ~iG673(X0,X1)) & (iG673(X0,X1) | ~iG674(X0,X1,X2))) | zero_zero(nat) = X0) & ! [X3 : nat,X4 : $o,X5 : $o] : (((iG674(X3,X4,X5) | ($true != X5)) & (($true = X5) | ~iG674(X3,X4,X5))) | zero_zero(nat) != X3)),
% 8.48/2.14    inference(nnf_transformation,[],[f26076])).
% 8.48/2.14  tff(f26076,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : $o,X2 : $o] : ((iG674(X0,X1,X2) <=> iG673(X0,X1)) | zero_zero(nat) = X0) & ! [X3 : nat,X4 : $o,X5 : $o] : ((iG674(X3,X4,X5) <=> ($true = X5)) | zero_zero(nat) != X3)),
% 8.48/2.14    inference(ennf_transformation,[],[f20207])).
% 8.48/2.14  tff(f20207,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : $o,X2 : $o] : (zero_zero(nat) != X0 => (iG674(X0,X1,X2) <=> iG673(X0,X1))) & ! [X3 : nat,X4 : $o,X5 : $o] : (zero_zero(nat) = X3 => (iG674(X3,X4,X5) <=> ($true = X5)))),
% 8.48/2.14    inference(flattening,[],[f20206])).
% 8.48/2.14  tff(f20206,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : $o,X2 : $o] : (~zero_zero(nat) = X0 => (iG674(X0,X1,X2) <=> iG673(X0,X1))) & ! [X3 : nat,X4 : $o,X5 : $o] : (zero_zero(nat) = X3 => (iG674(X3,X4,X5) <=> ($true = X5)))),
% 8.48/2.14    inference(rectify,[],[f15633])).
% 8.48/2.14  tff(f15633,plain,(
% 8.48/2.14    ! [X1 : nat,X3 : $o,X2 : $o] : (~zero_zero(nat) = X1 => (iG674(X1,X3,X2) <=> iG673(X1,X3))) & ! [X1 : nat,X3 : $o,X2 : $o] : (zero_zero(nat) = X1 => (iG674(X1,X3,X2) <=> ($true = X2)))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG674])])).
% 8.48/2.14  tff(f44466,plain,(
% 8.48/2.14    ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG674(X0,X1,X2) | ~iG673(X0,X1) | zero_zero(nat) = X0) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36214])).
% 8.48/2.14  tff(f44462,plain,(
% 8.48/2.14    ( ! [X0 : nat,X1 : nat] : (vEBT_VEBT_high(X0,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X1)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG675(X0,X1)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f20205])).
% 8.48/2.14  tff(f20205,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : vEBT_VEBT_high(X0,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X1)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG675(X0,X1)),
% 8.48/2.14    inference(rectify,[],[f15634])).
% 8.48/2.14  tff(f15634,plain,(
% 8.48/2.14    ! [X1 : nat,X15 : nat] : vEBT_VEBT_high(X1,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X15)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG675(X1,X15)),
% 8.48/2.14    introduced(fool_let_definition,[new_symbols(definition,[lG675])])).
% 8.48/2.14  tff(f44460,plain,(
% 8.48/2.14    ( ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (iG676(X3,X4,X5) | ($true != aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG675(X5,X4))),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X4)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG675(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3)))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36213])).
% 8.48/2.14  tff(f36213,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~iG676(X0,X1,X2) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG675(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (((iG676(X3,X4,X5) | ($true != aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG675(X5,X4))),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X4)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))) & (($true = aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG675(X5,X4))),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X4)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) | ~iG676(X3,X4,X5))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG675(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))),
% 8.48/2.14    inference(nnf_transformation,[],[f26075])).
% 8.48/2.14  tff(f26075,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~iG676(X0,X1,X2) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG675(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : ((iG676(X3,X4,X5) <=> ($true = aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG675(X5,X4))),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X4)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG675(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))),
% 8.48/2.14    inference(ennf_transformation,[],[f20204])).
% 8.48/2.14  tff(f20204,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG675(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => ~iG676(X0,X1,X2)) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG675(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (iG676(X3,X4,X5) <=> ($true = aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG675(X5,X4))),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X4)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))))),
% 8.48/2.14    inference(flattening,[],[f20203])).
% 8.48/2.14  tff(f20203,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG675(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => ~iG676(X0,X1,X2)) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG675(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (iG676(X3,X4,X5) <=> ($true = aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG675(X5,X4))),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X4)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))))),
% 8.48/2.14    inference(true_and_false_elimination,[],[f20202])).
% 8.48/2.14  tff(f20202,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG675(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => (iG676(X0,X1,X2) <=> $false)) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG675(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (iG676(X3,X4,X5) <=> ($true = aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG675(X5,X4))),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X4)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))))),
% 8.48/2.14    inference(rectify,[],[f15635])).
% 8.48/2.14  tff(f15635,plain,(
% 8.48/2.14    ! [X16 : list(vEBT_VEBT),X15 : nat,X1 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG675(X1,X15)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X16))) => (iG676(X16,X15,X1) <=> $false)) & ! [X16 : list(vEBT_VEBT),X15 : nat,X1 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG675(X1,X15)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X16))) => (iG676(X16,X15,X1) <=> ($true = aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X16),lG675(X1,X15))),vEBT_VEBT_low(X1,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X15)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG676])])).
% 8.48/2.14  tff(f44458,plain,(
% 8.48/2.14    ( ! [X2 : nat,X3 : list(vEBT_VEBT),X0 : nat,X1 : nat] : (iG677(X0,X1,X2,X3) | ~iG676(X3,X2,X0) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36212])).
% 8.48/2.14  tff(f36212,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT)] : (((iG677(X0,X1,X2,X3) | ~iG676(X3,X2,X0)) & (iG676(X3,X2,X0) | ~iG677(X0,X1,X2,X3))) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) & ! [X4 : nat,X5 : nat,X6 : nat,X7 : list(vEBT_VEBT)] : (~iG677(X4,X5,X6,X7) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),X4)))),
% 8.48/2.14    inference(nnf_transformation,[],[f26074])).
% 8.48/2.14  tff(f26074,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT)] : ((iG677(X0,X1,X2,X3) <=> iG676(X3,X2,X0)) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) & ! [X4 : nat,X5 : nat,X6 : nat,X7 : list(vEBT_VEBT)] : (~iG677(X4,X5,X6,X7) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),X4)))),
% 8.48/2.14    inference(ennf_transformation,[],[f20201])).
% 8.48/2.14  tff(f20201,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT)] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) => (iG677(X0,X1,X2,X3) <=> iG676(X3,X2,X0))) & ! [X4 : nat,X5 : nat,X6 : nat,X7 : list(vEBT_VEBT)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),X4)) => ~iG677(X4,X5,X6,X7))),
% 8.48/2.14    inference(flattening,[],[f20200])).
% 8.48/2.14  tff(f20200,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT)] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) => (iG677(X0,X1,X2,X3) <=> iG676(X3,X2,X0))) & ! [X4 : nat,X5 : nat,X6 : nat,X7 : list(vEBT_VEBT)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),X4)) => ~iG677(X4,X5,X6,X7))),
% 8.48/2.14    inference(true_and_false_elimination,[],[f20199])).
% 8.48/2.14  tff(f20199,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT)] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) => (iG677(X0,X1,X2,X3) <=> iG676(X3,X2,X0))) & ! [X4 : nat,X5 : nat,X6 : nat,X7 : list(vEBT_VEBT)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),X4)) => (iG677(X4,X5,X6,X7) <=> $false))),
% 8.48/2.14    inference(rectify,[],[f15636])).
% 8.48/2.14  tff(f15636,plain,(
% 8.48/2.14    ! [X1 : nat,X14 : nat,X15 : nat,X16 : list(vEBT_VEBT)] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X14),X1)) => (iG677(X1,X14,X15,X16) <=> iG676(X16,X15,X1))) & ! [X1 : nat,X14 : nat,X15 : nat,X16 : list(vEBT_VEBT)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X14),X1)) => (iG677(X1,X14,X15,X16) <=> $false))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG677])])).
% 8.48/2.14  tff(f44455,plain,(
% 8.48/2.14    ( ! [X2 : nat,X3 : nat,X0 : nat,X1 : nat,X4 : list(vEBT_VEBT)] : (iG678(X0,X1,X2,X3,X4) | ~iG677(X1,X2,X3,X4) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36211])).
% 8.48/2.14  tff(f36211,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (((iG678(X0,X1,X2,X3,X4) | ~iG677(X1,X2,X3,X4)) & (iG677(X1,X2,X3,X4) | ~iG678(X0,X1,X2,X3,X4))) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (~iG678(X5,X6,X7,X8,X9) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X5)))),
% 8.48/2.14    inference(nnf_transformation,[],[f26073])).
% 8.48/2.14  tff(f26073,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : ((iG678(X0,X1,X2,X3,X4) <=> iG677(X1,X2,X3,X4)) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (~iG678(X5,X6,X7,X8,X9) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X5)))),
% 8.48/2.14    inference(ennf_transformation,[],[f20198])).
% 8.48/2.14  tff(f20198,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) => (iG678(X0,X1,X2,X3,X4) <=> iG677(X1,X2,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X5)) => ~iG678(X5,X6,X7,X8,X9))),
% 8.48/2.14    inference(flattening,[],[f20197])).
% 8.48/2.14  tff(f20197,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) => (iG678(X0,X1,X2,X3,X4) <=> iG677(X1,X2,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X5)) => ~iG678(X5,X6,X7,X8,X9))),
% 8.48/2.14    inference(true_and_false_elimination,[],[f20196])).
% 8.48/2.14  tff(f20196,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) => (iG678(X0,X1,X2,X3,X4) <=> iG677(X1,X2,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X5)) => (iG678(X5,X6,X7,X8,X9) <=> $false))),
% 8.48/2.14    inference(rectify,[],[f15637])).
% 8.48/2.14  tff(f15637,plain,(
% 8.48/2.14    ! [X13 : nat,X1 : nat,X14 : nat,X15 : nat,X16 : list(vEBT_VEBT)] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X13)) => (iG678(X13,X1,X14,X15,X16) <=> iG677(X1,X14,X15,X16))) & ! [X13 : nat,X1 : nat,X14 : nat,X15 : nat,X16 : list(vEBT_VEBT)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X13)) => (iG678(X13,X1,X14,X15,X16) <=> $false))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG678])])).
% 8.48/2.14  tff(f61314,plain,(
% 8.48/2.14    ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat] : (iG679(X6,X6,X7,X8,X9)) )),
% 8.48/2.14    inference(equality_resolution,[],[f44450])).
% 8.48/2.14  tff(f44450,plain,(
% 8.48/2.14    ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat,X5 : nat] : (iG679(X5,X6,X7,X8,X9) | X5 != X6) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36210])).
% 8.48/2.14  tff(f36210,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (((iG679(X0,X1,X2,X3,X4) | ~iG678(X2,X1,X0,X3,X4)) & (iG678(X2,X1,X0,X3,X4) | ~iG679(X0,X1,X2,X3,X4))) | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (iG679(X5,X6,X7,X8,X9) | X5 != X6)),
% 8.48/2.14    inference(nnf_transformation,[],[f26072])).
% 8.48/2.14  tff(f26072,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : ((iG679(X0,X1,X2,X3,X4) <=> iG678(X2,X1,X0,X3,X4)) | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (iG679(X5,X6,X7,X8,X9) | X5 != X6)),
% 8.48/2.14    inference(ennf_transformation,[],[f20195])).
% 8.48/2.14  tff(f20195,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (X0 != X1 => (iG679(X0,X1,X2,X3,X4) <=> iG678(X2,X1,X0,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => iG679(X5,X6,X7,X8,X9))),
% 8.48/2.14    inference(flattening,[],[f20194])).
% 8.48/2.14  tff(f20194,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (~X0 = X1 => (iG679(X0,X1,X2,X3,X4) <=> iG678(X2,X1,X0,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => iG679(X5,X6,X7,X8,X9))),
% 8.48/2.14    inference(true_and_false_elimination,[],[f20193])).
% 8.48/2.14  tff(f20193,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (~X0 = X1 => (iG679(X0,X1,X2,X3,X4) <=> iG678(X2,X1,X0,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => (iG679(X5,X6,X7,X8,X9) <=> $true))),
% 8.48/2.14    inference(rectify,[],[f15638])).
% 8.48/2.14  tff(f15638,plain,(
% 8.48/2.14    ! [X14 : nat,X1 : nat,X13 : nat,X15 : nat,X16 : list(vEBT_VEBT)] : (~X1 = X14 => (iG679(X14,X1,X13,X15,X16) <=> iG678(X13,X1,X14,X15,X16))) & ! [X14 : nat,X1 : nat,X13 : nat,X15 : nat,X16 : list(vEBT_VEBT)] : (X1 = X14 => (iG679(X14,X1,X13,X15,X16) <=> $true))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG679])])).
% 8.48/2.14  tff(f44452,plain,(
% 8.48/2.14    ( ! [X2 : nat,X3 : nat,X0 : nat,X1 : nat,X4 : list(vEBT_VEBT)] : (iG679(X0,X1,X2,X3,X4) | ~iG678(X2,X1,X0,X3,X4) | X0 = X1) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36210])).
% 8.48/2.14  tff(f61313,plain,(
% 8.48/2.14    ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat] : (iG680(X6,X6,X7,X8,X9)) )),
% 8.48/2.14    inference(equality_resolution,[],[f44447])).
% 8.48/2.14  tff(f44447,plain,(
% 8.48/2.14    ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat,X5 : nat] : (iG680(X5,X6,X7,X8,X9) | X5 != X6) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36209])).
% 8.48/2.14  tff(f36209,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (((iG680(X0,X1,X2,X3,X4) | ~iG679(X2,X1,X0,X3,X4)) & (iG679(X2,X1,X0,X3,X4) | ~iG680(X0,X1,X2,X3,X4))) | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (iG680(X5,X6,X7,X8,X9) | X5 != X6)),
% 8.48/2.14    inference(nnf_transformation,[],[f26071])).
% 8.48/2.14  tff(f26071,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : ((iG680(X0,X1,X2,X3,X4) <=> iG679(X2,X1,X0,X3,X4)) | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (iG680(X5,X6,X7,X8,X9) | X5 != X6)),
% 8.48/2.14    inference(ennf_transformation,[],[f20192])).
% 8.48/2.14  tff(f20192,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (X0 != X1 => (iG680(X0,X1,X2,X3,X4) <=> iG679(X2,X1,X0,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => iG680(X5,X6,X7,X8,X9))),
% 8.48/2.14    inference(flattening,[],[f20191])).
% 8.48/2.14  tff(f20191,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (~X0 = X1 => (iG680(X0,X1,X2,X3,X4) <=> iG679(X2,X1,X0,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => iG680(X5,X6,X7,X8,X9))),
% 8.48/2.14    inference(true_and_false_elimination,[],[f20190])).
% 8.48/2.14  tff(f20190,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (~X0 = X1 => (iG680(X0,X1,X2,X3,X4) <=> iG679(X2,X1,X0,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => (iG680(X5,X6,X7,X8,X9) <=> $true))),
% 8.48/2.14    inference(rectify,[],[f15639])).
% 8.48/2.14  tff(f15639,plain,(
% 8.48/2.14    ! [X13 : nat,X1 : nat,X14 : nat,X15 : nat,X16 : list(vEBT_VEBT)] : (~X1 = X13 => (iG680(X13,X1,X14,X15,X16) <=> iG679(X14,X1,X13,X15,X16))) & ! [X13 : nat,X1 : nat,X14 : nat,X15 : nat,X16 : list(vEBT_VEBT)] : (X1 = X13 => (iG680(X13,X1,X14,X15,X16) <=> $true))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG680])])).
% 8.48/2.14  tff(f44449,plain,(
% 8.48/2.14    ( ! [X2 : nat,X3 : nat,X0 : nat,X1 : nat,X4 : list(vEBT_VEBT)] : (iG680(X0,X1,X2,X3,X4) | ~iG679(X2,X1,X0,X3,X4) | X0 = X1) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36209])).
% 8.48/2.14  tff(f61312,plain,(
% 8.48/2.14    ($true = bG681($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44445])).
% 8.48/2.14  tff(f44445,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG681(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36208])).
% 8.48/2.14  tff(f36208,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG681(X0))) & (($true = bG681(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20189])).
% 8.48/2.14  tff(f20189,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG681(X0)))),
% 8.48/2.14    inference(rectify,[],[f15706])).
% 8.48/2.14  tff(f15706,plain,(
% 8.48/2.14    ! [X2 : $o] : (($true = X2) <=> ($true = bG681(X2)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG681])])).
% 8.48/2.14  tff(f44446,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG681(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36208])).
% 8.48/2.14  tff(f61311,plain,(
% 8.48/2.14    ($true = bG682($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44443])).
% 8.48/2.14  tff(f44443,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG682(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36207])).
% 8.48/2.14  tff(f36207,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG682(X0))) & (($true = bG682(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20188])).
% 8.48/2.14  tff(f20188,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG682(X0)))),
% 8.48/2.14    inference(rectify,[],[f15707])).
% 8.48/2.14  tff(f15707,plain,(
% 8.48/2.14    ! [X3 : $o] : (($true = X3) <=> ($true = bG682(X3)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG682])])).
% 8.48/2.14  tff(f44444,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG682(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36207])).
% 8.48/2.14  tff(f61310,plain,(
% 8.48/2.14    ( ! [X3 : $o] : (($true = X3) | ~iG683(one_one(nat),X3)) )),
% 8.48/2.14    inference(equality_resolution,[],[f44440])).
% 8.48/2.14  tff(f44440,plain,(
% 8.48/2.14    ( ! [X2 : nat,X3 : $o] : (($true = X3) | ~iG683(X2,X3) | one_one(nat) != X2) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36206])).
% 8.48/2.14  tff(f36206,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : $o] : (~iG683(X0,X1) | one_one(nat) = X0) & ! [X2 : nat,X3 : $o] : (((iG683(X2,X3) | ($true != X3)) & (($true = X3) | ~iG683(X2,X3))) | one_one(nat) != X2)),
% 8.48/2.14    inference(nnf_transformation,[],[f26070])).
% 8.48/2.14  tff(f26070,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : $o] : (~iG683(X0,X1) | one_one(nat) = X0) & ! [X2 : nat,X3 : $o] : ((iG683(X2,X3) <=> ($true = X3)) | one_one(nat) != X2)),
% 8.48/2.14    inference(ennf_transformation,[],[f20187])).
% 8.48/2.14  tff(f20187,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : $o] : (one_one(nat) != X0 => ~iG683(X0,X1)) & ! [X2 : nat,X3 : $o] : (one_one(nat) = X2 => (iG683(X2,X3) <=> ($true = X3)))),
% 8.48/2.14    inference(flattening,[],[f20186])).
% 8.48/2.14  tff(f20186,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : $o] : (~one_one(nat) = X0 => ~iG683(X0,X1)) & ! [X2 : nat,X3 : $o] : (one_one(nat) = X2 => (iG683(X2,X3) <=> ($true = X3)))),
% 8.48/2.14    inference(true_and_false_elimination,[],[f20185])).
% 8.48/2.14  tff(f20185,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : $o] : (~one_one(nat) = X0 => (iG683(X0,X1) <=> $false)) & ! [X2 : nat,X3 : $o] : (one_one(nat) = X2 => (iG683(X2,X3) <=> ($true = X3)))),
% 8.48/2.14    inference(rectify,[],[f15708])).
% 8.48/2.14  tff(f15708,plain,(
% 8.48/2.14    ! [X1 : nat,X3 : $o] : (~one_one(nat) = X1 => (iG683(X1,X3) <=> $false)) & ! [X1 : nat,X3 : $o] : (one_one(nat) = X1 => (iG683(X1,X3) <=> ($true = X3)))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG683])])).
% 8.48/2.14  tff(f44442,plain,(
% 8.48/2.14    ( ! [X0 : nat,X1 : $o] : (~iG683(X0,X1) | one_one(nat) = X0) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36206])).
% 8.48/2.14  tff(f61307,plain,(
% 8.48/2.14    ( ! [X4 : $o,X5 : $o] : (($true = X5) | ~iG684(zero_zero(nat),X4,X5)) )),
% 8.48/2.14    inference(equality_resolution,[],[f44436])).
% 8.48/2.14  tff(f44436,plain,(
% 8.48/2.14    ( ! [X3 : nat,X4 : $o,X5 : $o] : (($true = X5) | ~iG684(X3,X4,X5) | zero_zero(nat) != X3) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36205])).
% 8.48/2.14  tff(f36205,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : $o,X2 : $o] : (((iG684(X0,X1,X2) | ~iG683(X0,X1)) & (iG683(X0,X1) | ~iG684(X0,X1,X2))) | zero_zero(nat) = X0) & ! [X3 : nat,X4 : $o,X5 : $o] : (((iG684(X3,X4,X5) | ($true != X5)) & (($true = X5) | ~iG684(X3,X4,X5))) | zero_zero(nat) != X3)),
% 8.48/2.14    inference(nnf_transformation,[],[f26069])).
% 8.48/2.14  tff(f26069,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : $o,X2 : $o] : ((iG684(X0,X1,X2) <=> iG683(X0,X1)) | zero_zero(nat) = X0) & ! [X3 : nat,X4 : $o,X5 : $o] : ((iG684(X3,X4,X5) <=> ($true = X5)) | zero_zero(nat) != X3)),
% 8.48/2.14    inference(ennf_transformation,[],[f20184])).
% 8.48/2.14  tff(f20184,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : $o,X2 : $o] : (zero_zero(nat) != X0 => (iG684(X0,X1,X2) <=> iG683(X0,X1))) & ! [X3 : nat,X4 : $o,X5 : $o] : (zero_zero(nat) = X3 => (iG684(X3,X4,X5) <=> ($true = X5)))),
% 8.48/2.14    inference(flattening,[],[f20183])).
% 8.48/2.14  tff(f20183,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : $o,X2 : $o] : (~zero_zero(nat) = X0 => (iG684(X0,X1,X2) <=> iG683(X0,X1))) & ! [X3 : nat,X4 : $o,X5 : $o] : (zero_zero(nat) = X3 => (iG684(X3,X4,X5) <=> ($true = X5)))),
% 8.48/2.14    inference(rectify,[],[f15709])).
% 8.48/2.14  tff(f15709,plain,(
% 8.48/2.14    ! [X1 : nat,X3 : $o,X2 : $o] : (~zero_zero(nat) = X1 => (iG684(X1,X3,X2) <=> iG683(X1,X3))) & ! [X1 : nat,X3 : $o,X2 : $o] : (zero_zero(nat) = X1 => (iG684(X1,X3,X2) <=> ($true = X2)))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG684])])).
% 8.48/2.14  tff(f44438,plain,(
% 8.48/2.14    ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG683(X0,X1) | ~iG684(X0,X1,X2) | zero_zero(nat) = X0) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36205])).
% 8.48/2.14  tff(f44435,plain,(
% 8.48/2.14    ( ! [X0 : nat,X1 : nat] : (vEBT_VEBT_high(X0,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X1)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG685(X0,X1)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f20182])).
% 8.48/2.14  tff(f20182,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : vEBT_VEBT_high(X0,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X1)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG685(X0,X1)),
% 8.48/2.14    inference(rectify,[],[f15710])).
% 8.48/2.14  tff(f15710,plain,(
% 8.48/2.14    ! [X1 : nat,X6 : nat] : vEBT_VEBT_high(X1,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X6)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG685(X1,X6)),
% 8.48/2.14    introduced(fool_let_definition,[new_symbols(definition,[lG685])])).
% 8.48/2.14  tff(f44432,plain,(
% 8.48/2.14    ( ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG685(X5,X4))),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X4)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) | ~iG686(X3,X4,X5) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG685(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3)))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36204])).
% 8.48/2.14  tff(f36204,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~iG686(X0,X1,X2) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG685(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (((iG686(X3,X4,X5) | ($true != aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG685(X5,X4))),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X4)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))) & (($true = aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG685(X5,X4))),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X4)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) | ~iG686(X3,X4,X5))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG685(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))),
% 8.48/2.14    inference(nnf_transformation,[],[f26068])).
% 8.48/2.14  tff(f26068,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~iG686(X0,X1,X2) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG685(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : ((iG686(X3,X4,X5) <=> ($true = aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG685(X5,X4))),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X4)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG685(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))),
% 8.48/2.14    inference(ennf_transformation,[],[f20181])).
% 8.48/2.14  tff(f20181,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG685(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => ~iG686(X0,X1,X2)) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG685(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (iG686(X3,X4,X5) <=> ($true = aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG685(X5,X4))),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X4)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))))),
% 8.48/2.14    inference(flattening,[],[f20180])).
% 8.48/2.14  tff(f20180,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG685(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => ~iG686(X0,X1,X2)) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG685(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (iG686(X3,X4,X5) <=> ($true = aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG685(X5,X4))),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X4)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))))),
% 8.48/2.14    inference(true_and_false_elimination,[],[f20179])).
% 8.48/2.14  tff(f20179,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG685(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => (iG686(X0,X1,X2) <=> $false)) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG685(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (iG686(X3,X4,X5) <=> ($true = aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG685(X5,X4))),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X4)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))))),
% 8.48/2.14    inference(rectify,[],[f15711])).
% 8.48/2.14  tff(f15711,plain,(
% 8.48/2.14    ! [X7 : list(vEBT_VEBT),X6 : nat,X1 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG685(X1,X6)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X7))) => (iG686(X7,X6,X1) <=> $false)) & ! [X7 : list(vEBT_VEBT),X6 : nat,X1 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG685(X1,X6)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X7))) => (iG686(X7,X6,X1) <=> ($true = aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X7),lG685(X1,X6))),vEBT_VEBT_low(X1,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X6)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG686])])).
% 8.48/2.14  tff(f44434,plain,(
% 8.48/2.14    ( ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (~iG686(X0,X1,X2) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG685(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36204])).
% 8.48/2.14  tff(f44429,plain,(
% 8.48/2.14    ( ! [X6 : nat,X7 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (~iG687(X4,X5,X6,X7) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),X4))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36203])).
% 8.48/2.14  tff(f36203,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT)] : (((iG687(X0,X1,X2,X3) | ~iG686(X3,X2,X0)) & (iG686(X3,X2,X0) | ~iG687(X0,X1,X2,X3))) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) & ! [X4 : nat,X5 : nat,X6 : nat,X7 : list(vEBT_VEBT)] : (~iG687(X4,X5,X6,X7) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),X4)))),
% 8.48/2.14    inference(nnf_transformation,[],[f26067])).
% 8.48/2.14  tff(f26067,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT)] : ((iG687(X0,X1,X2,X3) <=> iG686(X3,X2,X0)) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) & ! [X4 : nat,X5 : nat,X6 : nat,X7 : list(vEBT_VEBT)] : (~iG687(X4,X5,X6,X7) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),X4)))),
% 8.48/2.14    inference(ennf_transformation,[],[f20178])).
% 8.48/2.14  tff(f20178,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT)] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) => (iG687(X0,X1,X2,X3) <=> iG686(X3,X2,X0))) & ! [X4 : nat,X5 : nat,X6 : nat,X7 : list(vEBT_VEBT)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),X4)) => ~iG687(X4,X5,X6,X7))),
% 8.48/2.14    inference(flattening,[],[f20177])).
% 8.48/2.14  tff(f20177,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT)] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) => (iG687(X0,X1,X2,X3) <=> iG686(X3,X2,X0))) & ! [X4 : nat,X5 : nat,X6 : nat,X7 : list(vEBT_VEBT)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),X4)) => ~iG687(X4,X5,X6,X7))),
% 8.48/2.14    inference(true_and_false_elimination,[],[f20176])).
% 8.48/2.14  tff(f20176,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT)] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) => (iG687(X0,X1,X2,X3) <=> iG686(X3,X2,X0))) & ! [X4 : nat,X5 : nat,X6 : nat,X7 : list(vEBT_VEBT)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),X4)) => (iG687(X4,X5,X6,X7) <=> $false))),
% 8.48/2.14    inference(rectify,[],[f15712])).
% 8.48/2.14  tff(f15712,plain,(
% 8.48/2.14    ! [X1 : nat,X5 : nat,X6 : nat,X7 : list(vEBT_VEBT)] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),X1)) => (iG687(X1,X5,X6,X7) <=> iG686(X7,X6,X1))) & ! [X1 : nat,X5 : nat,X6 : nat,X7 : list(vEBT_VEBT)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),X1)) => (iG687(X1,X5,X6,X7) <=> $false))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG687])])).
% 8.48/2.14  tff(f44430,plain,(
% 8.48/2.14    ( ! [X2 : nat,X3 : list(vEBT_VEBT),X0 : nat,X1 : nat] : (iG686(X3,X2,X0) | ~iG687(X0,X1,X2,X3) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36203])).
% 8.48/2.14  tff(f44426,plain,(
% 8.48/2.14    ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat,X5 : nat] : (~iG688(X5,X6,X7,X8,X9) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X5))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36202])).
% 8.48/2.14  tff(f36202,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (((iG688(X0,X1,X2,X3,X4) | ~iG687(X1,X2,X3,X4)) & (iG687(X1,X2,X3,X4) | ~iG688(X0,X1,X2,X3,X4))) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (~iG688(X5,X6,X7,X8,X9) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X5)))),
% 8.48/2.14    inference(nnf_transformation,[],[f26066])).
% 8.48/2.14  tff(f26066,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : ((iG688(X0,X1,X2,X3,X4) <=> iG687(X1,X2,X3,X4)) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (~iG688(X5,X6,X7,X8,X9) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X5)))),
% 8.48/2.14    inference(ennf_transformation,[],[f20175])).
% 8.48/2.14  tff(f20175,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) => (iG688(X0,X1,X2,X3,X4) <=> iG687(X1,X2,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X5)) => ~iG688(X5,X6,X7,X8,X9))),
% 8.48/2.14    inference(flattening,[],[f20174])).
% 8.48/2.14  tff(f20174,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) => (iG688(X0,X1,X2,X3,X4) <=> iG687(X1,X2,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X5)) => ~iG688(X5,X6,X7,X8,X9))),
% 8.48/2.14    inference(true_and_false_elimination,[],[f20173])).
% 8.48/2.14  tff(f20173,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) => (iG688(X0,X1,X2,X3,X4) <=> iG687(X1,X2,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X5)) => (iG688(X5,X6,X7,X8,X9) <=> $false))),
% 8.48/2.14    inference(rectify,[],[f15713])).
% 8.48/2.14  tff(f15713,plain,(
% 8.48/2.14    ! [X4 : nat,X1 : nat,X5 : nat,X6 : nat,X7 : list(vEBT_VEBT)] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X4)) => (iG688(X4,X1,X5,X6,X7) <=> iG687(X1,X5,X6,X7))) & ! [X4 : nat,X1 : nat,X5 : nat,X6 : nat,X7 : list(vEBT_VEBT)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X4)) => (iG688(X4,X1,X5,X6,X7) <=> $false))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG688])])).
% 8.48/2.14  tff(f44427,plain,(
% 8.48/2.14    ( ! [X2 : nat,X3 : nat,X0 : nat,X1 : nat,X4 : list(vEBT_VEBT)] : (iG687(X1,X2,X3,X4) | ~iG688(X0,X1,X2,X3,X4) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36202])).
% 8.48/2.14  tff(f44424,plain,(
% 8.48/2.14    ( ! [X2 : nat,X3 : nat,X0 : nat,X1 : nat,X4 : list(vEBT_VEBT)] : (iG688(X2,X1,X0,X3,X4) | ~iG689(X0,X1,X2,X3,X4) | X0 = X1) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36201])).
% 8.48/2.14  tff(f36201,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (((iG689(X0,X1,X2,X3,X4) | ~iG688(X2,X1,X0,X3,X4)) & (iG688(X2,X1,X0,X3,X4) | ~iG689(X0,X1,X2,X3,X4))) | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (iG689(X5,X6,X7,X8,X9) | X5 != X6)),
% 8.48/2.14    inference(nnf_transformation,[],[f26065])).
% 8.48/2.14  tff(f26065,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : ((iG689(X0,X1,X2,X3,X4) <=> iG688(X2,X1,X0,X3,X4)) | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (iG689(X5,X6,X7,X8,X9) | X5 != X6)),
% 8.48/2.14    inference(ennf_transformation,[],[f20172])).
% 8.48/2.14  tff(f20172,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (X0 != X1 => (iG689(X0,X1,X2,X3,X4) <=> iG688(X2,X1,X0,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => iG689(X5,X6,X7,X8,X9))),
% 8.48/2.14    inference(flattening,[],[f20171])).
% 8.48/2.14  tff(f20171,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (~X0 = X1 => (iG689(X0,X1,X2,X3,X4) <=> iG688(X2,X1,X0,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => iG689(X5,X6,X7,X8,X9))),
% 8.48/2.14    inference(true_and_false_elimination,[],[f20170])).
% 8.48/2.14  tff(f20170,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (~X0 = X1 => (iG689(X0,X1,X2,X3,X4) <=> iG688(X2,X1,X0,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => (iG689(X5,X6,X7,X8,X9) <=> $true))),
% 8.48/2.14    inference(rectify,[],[f15714])).
% 8.48/2.14  tff(f15714,plain,(
% 8.48/2.14    ! [X5 : nat,X1 : nat,X4 : nat,X6 : nat,X7 : list(vEBT_VEBT)] : (~X1 = X5 => (iG689(X5,X1,X4,X6,X7) <=> iG688(X4,X1,X5,X6,X7))) & ! [X5 : nat,X1 : nat,X4 : nat,X6 : nat,X7 : list(vEBT_VEBT)] : (X1 = X5 => (iG689(X5,X1,X4,X6,X7) <=> $true))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG689])])).
% 8.48/2.14  tff(f44421,plain,(
% 8.48/2.14    ( ! [X2 : nat,X3 : nat,X0 : nat,X1 : nat,X4 : list(vEBT_VEBT)] : (iG689(X2,X1,X0,X3,X4) | ~iG690(X0,X1,X2,X3,X4) | X0 = X1) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36200])).
% 8.48/2.14  tff(f36200,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (((iG690(X0,X1,X2,X3,X4) | ~iG689(X2,X1,X0,X3,X4)) & (iG689(X2,X1,X0,X3,X4) | ~iG690(X0,X1,X2,X3,X4))) | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (iG690(X5,X6,X7,X8,X9) | X5 != X6)),
% 8.48/2.14    inference(nnf_transformation,[],[f26064])).
% 8.48/2.14  tff(f26064,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : ((iG690(X0,X1,X2,X3,X4) <=> iG689(X2,X1,X0,X3,X4)) | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (iG690(X5,X6,X7,X8,X9) | X5 != X6)),
% 8.48/2.14    inference(ennf_transformation,[],[f20169])).
% 8.48/2.14  tff(f20169,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (X0 != X1 => (iG690(X0,X1,X2,X3,X4) <=> iG689(X2,X1,X0,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => iG690(X5,X6,X7,X8,X9))),
% 8.48/2.14    inference(flattening,[],[f20168])).
% 8.48/2.14  tff(f20168,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (~X0 = X1 => (iG690(X0,X1,X2,X3,X4) <=> iG689(X2,X1,X0,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => iG690(X5,X6,X7,X8,X9))),
% 8.48/2.14    inference(true_and_false_elimination,[],[f20167])).
% 8.48/2.14  tff(f20167,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (~X0 = X1 => (iG690(X0,X1,X2,X3,X4) <=> iG689(X2,X1,X0,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => (iG690(X5,X6,X7,X8,X9) <=> $true))),
% 8.48/2.14    inference(rectify,[],[f15715])).
% 8.48/2.14  tff(f15715,plain,(
% 8.48/2.14    ! [X4 : nat,X1 : nat,X5 : nat,X6 : nat,X7 : list(vEBT_VEBT)] : (~X1 = X4 => (iG690(X4,X1,X5,X6,X7) <=> iG689(X5,X1,X4,X6,X7))) & ! [X4 : nat,X1 : nat,X5 : nat,X6 : nat,X7 : list(vEBT_VEBT)] : (X1 = X4 => (iG690(X4,X1,X5,X6,X7) <=> $true))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG690])])).
% 8.48/2.14  tff(f61302,plain,(
% 8.48/2.14    ($true = bG691($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44418])).
% 8.48/2.14  tff(f44418,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG691(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36199])).
% 8.48/2.14  tff(f36199,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG691(X0))) & (($true = bG691(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20166])).
% 8.48/2.14  tff(f20166,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG691(X0)))),
% 8.48/2.14    inference(rectify,[],[f15718])).
% 8.48/2.14  tff(f15718,plain,(
% 8.48/2.14    ! [X2 : $o] : (($true = X2) <=> ($true = bG691(X2)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG691])])).
% 8.48/2.14  tff(f44419,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG691(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36199])).
% 8.48/2.14  tff(f61301,plain,(
% 8.48/2.14    ($true = bG692($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44416])).
% 8.48/2.14  tff(f44416,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG692(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36198])).
% 8.48/2.14  tff(f36198,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG692(X0))) & (($true = bG692(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20165])).
% 8.48/2.14  tff(f20165,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG692(X0)))),
% 8.48/2.14    inference(rectify,[],[f15719])).
% 8.48/2.14  tff(f15719,plain,(
% 8.48/2.14    ! [X3 : $o] : (($true = X3) <=> ($true = bG692(X3)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG692])])).
% 8.48/2.14  tff(f44417,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG692(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36198])).
% 8.48/2.14  tff(f61300,plain,(
% 8.48/2.14    ($true = bG693($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44414])).
% 8.48/2.14  tff(f44414,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG693(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36197])).
% 8.48/2.14  tff(f36197,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG693(X0))) & (($true = bG693(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20164])).
% 8.48/2.14  tff(f20164,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG693(X0)))),
% 8.48/2.14    inference(rectify,[],[f15720])).
% 8.48/2.14  tff(f15720,plain,(
% 8.48/2.14    ! [X2 : $o] : (($true = X2) <=> ($true = bG693(X2)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG693])])).
% 8.48/2.14  tff(f44415,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG693(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36197])).
% 8.48/2.14  tff(f61299,plain,(
% 8.48/2.14    ($true = bG694($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44412])).
% 8.48/2.14  tff(f44412,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG694(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36196])).
% 8.48/2.14  tff(f36196,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG694(X0))) & (($true = bG694(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20163])).
% 8.48/2.14  tff(f20163,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG694(X0)))),
% 8.48/2.14    inference(rectify,[],[f15721])).
% 8.48/2.14  tff(f15721,plain,(
% 8.48/2.14    ! [X3 : $o] : (($true = X3) <=> ($true = bG694(X3)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG694])])).
% 8.48/2.14  tff(f44413,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG694(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36196])).
% 8.48/2.14  tff(f61298,plain,(
% 8.48/2.14    ( ! [X3 : $o] : (($true = X3) | ~iG695(one_one(nat),X3)) )),
% 8.48/2.14    inference(equality_resolution,[],[f44409])).
% 8.48/2.14  tff(f44409,plain,(
% 8.48/2.14    ( ! [X2 : nat,X3 : $o] : (($true = X3) | ~iG695(X2,X3) | one_one(nat) != X2) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36195])).
% 8.48/2.14  tff(f36195,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : $o] : (~iG695(X0,X1) | one_one(nat) = X0) & ! [X2 : nat,X3 : $o] : (((iG695(X2,X3) | ($true != X3)) & (($true = X3) | ~iG695(X2,X3))) | one_one(nat) != X2)),
% 8.48/2.14    inference(nnf_transformation,[],[f26063])).
% 8.48/2.14  tff(f26063,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : $o] : (~iG695(X0,X1) | one_one(nat) = X0) & ! [X2 : nat,X3 : $o] : ((iG695(X2,X3) <=> ($true = X3)) | one_one(nat) != X2)),
% 8.48/2.14    inference(ennf_transformation,[],[f20162])).
% 8.48/2.14  tff(f20162,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : $o] : (one_one(nat) != X0 => ~iG695(X0,X1)) & ! [X2 : nat,X3 : $o] : (one_one(nat) = X2 => (iG695(X2,X3) <=> ($true = X3)))),
% 8.48/2.14    inference(flattening,[],[f20161])).
% 8.48/2.14  tff(f20161,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : $o] : (~one_one(nat) = X0 => ~iG695(X0,X1)) & ! [X2 : nat,X3 : $o] : (one_one(nat) = X2 => (iG695(X2,X3) <=> ($true = X3)))),
% 8.48/2.14    inference(true_and_false_elimination,[],[f20160])).
% 8.48/2.14  tff(f20160,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : $o] : (~one_one(nat) = X0 => (iG695(X0,X1) <=> $false)) & ! [X2 : nat,X3 : $o] : (one_one(nat) = X2 => (iG695(X2,X3) <=> ($true = X3)))),
% 8.48/2.14    inference(rectify,[],[f15722])).
% 8.48/2.14  tff(f15722,plain,(
% 8.48/2.14    ! [X1 : nat,X3 : $o] : (~one_one(nat) = X1 => (iG695(X1,X3) <=> $false)) & ! [X1 : nat,X3 : $o] : (one_one(nat) = X1 => (iG695(X1,X3) <=> ($true = X3)))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG695])])).
% 8.48/2.14  tff(f44411,plain,(
% 8.48/2.14    ( ! [X0 : nat,X1 : $o] : (~iG695(X0,X1) | one_one(nat) = X0) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36195])).
% 8.48/2.14  tff(f61295,plain,(
% 8.48/2.14    ( ! [X4 : $o,X5 : $o] : (($true = X5) | ~iG696(zero_zero(nat),X4,X5)) )),
% 8.48/2.14    inference(equality_resolution,[],[f44405])).
% 8.48/2.14  tff(f44405,plain,(
% 8.48/2.14    ( ! [X3 : nat,X4 : $o,X5 : $o] : (($true = X5) | ~iG696(X3,X4,X5) | zero_zero(nat) != X3) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36194])).
% 8.48/2.14  tff(f36194,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : $o,X2 : $o] : (((iG696(X0,X1,X2) | ~iG695(X0,X1)) & (iG695(X0,X1) | ~iG696(X0,X1,X2))) | zero_zero(nat) = X0) & ! [X3 : nat,X4 : $o,X5 : $o] : (((iG696(X3,X4,X5) | ($true != X5)) & (($true = X5) | ~iG696(X3,X4,X5))) | zero_zero(nat) != X3)),
% 8.48/2.14    inference(nnf_transformation,[],[f26062])).
% 8.48/2.14  tff(f26062,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : $o,X2 : $o] : ((iG696(X0,X1,X2) <=> iG695(X0,X1)) | zero_zero(nat) = X0) & ! [X3 : nat,X4 : $o,X5 : $o] : ((iG696(X3,X4,X5) <=> ($true = X5)) | zero_zero(nat) != X3)),
% 8.48/2.14    inference(ennf_transformation,[],[f20159])).
% 8.48/2.14  tff(f20159,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : $o,X2 : $o] : (zero_zero(nat) != X0 => (iG696(X0,X1,X2) <=> iG695(X0,X1))) & ! [X3 : nat,X4 : $o,X5 : $o] : (zero_zero(nat) = X3 => (iG696(X3,X4,X5) <=> ($true = X5)))),
% 8.48/2.14    inference(flattening,[],[f20158])).
% 8.48/2.14  tff(f20158,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : $o,X2 : $o] : (~zero_zero(nat) = X0 => (iG696(X0,X1,X2) <=> iG695(X0,X1))) & ! [X3 : nat,X4 : $o,X5 : $o] : (zero_zero(nat) = X3 => (iG696(X3,X4,X5) <=> ($true = X5)))),
% 8.48/2.14    inference(rectify,[],[f15723])).
% 8.48/2.14  tff(f15723,plain,(
% 8.48/2.14    ! [X1 : nat,X3 : $o,X2 : $o] : (~zero_zero(nat) = X1 => (iG696(X1,X3,X2) <=> iG695(X1,X3))) & ! [X1 : nat,X3 : $o,X2 : $o] : (zero_zero(nat) = X1 => (iG696(X1,X3,X2) <=> ($true = X2)))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG696])])).
% 8.48/2.14  tff(f44407,plain,(
% 8.48/2.14    ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG695(X0,X1) | ~iG696(X0,X1,X2) | zero_zero(nat) = X0) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36194])).
% 8.48/2.14  tff(f44404,plain,(
% 8.48/2.14    ( ! [X0 : nat,X1 : nat] : (vEBT_VEBT_high(X0,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X1)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG697(X0,X1)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f20157])).
% 8.48/2.14  tff(f20157,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : vEBT_VEBT_high(X0,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X1)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG697(X0,X1)),
% 8.48/2.14    inference(rectify,[],[f15724])).
% 8.48/2.14  tff(f15724,plain,(
% 8.48/2.14    ! [X1 : nat,X6 : nat] : vEBT_VEBT_high(X1,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X6)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG697(X1,X6)),
% 8.48/2.14    introduced(fool_let_definition,[new_symbols(definition,[lG697])])).
% 8.48/2.14  tff(f44401,plain,(
% 8.48/2.14    ( ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG697(X5,X4))),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X4)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) | ~iG698(X3,X4,X5) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG697(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3)))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36193])).
% 8.48/2.14  tff(f36193,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~iG698(X0,X1,X2) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG697(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (((iG698(X3,X4,X5) | ($true != aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG697(X5,X4))),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X4)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))) & (($true = aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG697(X5,X4))),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X4)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) | ~iG698(X3,X4,X5))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG697(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))),
% 8.48/2.14    inference(nnf_transformation,[],[f26061])).
% 8.48/2.14  tff(f26061,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~iG698(X0,X1,X2) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG697(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : ((iG698(X3,X4,X5) <=> ($true = aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG697(X5,X4))),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X4)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG697(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))),
% 8.48/2.14    inference(ennf_transformation,[],[f20156])).
% 8.48/2.14  tff(f20156,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG697(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => ~iG698(X0,X1,X2)) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG697(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (iG698(X3,X4,X5) <=> ($true = aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG697(X5,X4))),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X4)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))))),
% 8.48/2.14    inference(flattening,[],[f20155])).
% 8.48/2.14  tff(f20155,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG697(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => ~iG698(X0,X1,X2)) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG697(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (iG698(X3,X4,X5) <=> ($true = aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG697(X5,X4))),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X4)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))))),
% 8.48/2.14    inference(true_and_false_elimination,[],[f20154])).
% 8.48/2.14  tff(f20154,plain,(
% 8.48/2.14    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG697(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => (iG698(X0,X1,X2) <=> $false)) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG697(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (iG698(X3,X4,X5) <=> ($true = aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG697(X5,X4))),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X4)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))))),
% 8.48/2.14    inference(rectify,[],[f15725])).
% 8.48/2.14  tff(f15725,plain,(
% 8.48/2.14    ! [X7 : list(vEBT_VEBT),X6 : nat,X1 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG697(X1,X6)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X7))) => (iG698(X7,X6,X1) <=> $false)) & ! [X7 : list(vEBT_VEBT),X6 : nat,X1 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG697(X1,X6)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X7))) => (iG698(X7,X6,X1) <=> ($true = aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X7),lG697(X1,X6))),vEBT_VEBT_low(X1,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X6)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG698])])).
% 8.48/2.14  tff(f44403,plain,(
% 8.48/2.14    ( ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (~iG698(X0,X1,X2) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG697(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36193])).
% 8.48/2.14  tff(f44398,plain,(
% 8.48/2.14    ( ! [X6 : nat,X7 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (~iG699(X4,X5,X6,X7) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),X4))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36192])).
% 8.48/2.14  tff(f36192,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT)] : (((iG699(X0,X1,X2,X3) | ~iG698(X3,X2,X0)) & (iG698(X3,X2,X0) | ~iG699(X0,X1,X2,X3))) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) & ! [X4 : nat,X5 : nat,X6 : nat,X7 : list(vEBT_VEBT)] : (~iG699(X4,X5,X6,X7) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),X4)))),
% 8.48/2.14    inference(nnf_transformation,[],[f26060])).
% 8.48/2.14  tff(f26060,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT)] : ((iG699(X0,X1,X2,X3) <=> iG698(X3,X2,X0)) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) & ! [X4 : nat,X5 : nat,X6 : nat,X7 : list(vEBT_VEBT)] : (~iG699(X4,X5,X6,X7) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),X4)))),
% 8.48/2.14    inference(ennf_transformation,[],[f20153])).
% 8.48/2.14  tff(f20153,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT)] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) => (iG699(X0,X1,X2,X3) <=> iG698(X3,X2,X0))) & ! [X4 : nat,X5 : nat,X6 : nat,X7 : list(vEBT_VEBT)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),X4)) => ~iG699(X4,X5,X6,X7))),
% 8.48/2.14    inference(flattening,[],[f20152])).
% 8.48/2.14  tff(f20152,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT)] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) => (iG699(X0,X1,X2,X3) <=> iG698(X3,X2,X0))) & ! [X4 : nat,X5 : nat,X6 : nat,X7 : list(vEBT_VEBT)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),X4)) => ~iG699(X4,X5,X6,X7))),
% 8.48/2.14    inference(true_and_false_elimination,[],[f20151])).
% 8.48/2.14  tff(f20151,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT)] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) => (iG699(X0,X1,X2,X3) <=> iG698(X3,X2,X0))) & ! [X4 : nat,X5 : nat,X6 : nat,X7 : list(vEBT_VEBT)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),X4)) => (iG699(X4,X5,X6,X7) <=> $false))),
% 8.48/2.14    inference(rectify,[],[f15726])).
% 8.48/2.14  tff(f15726,plain,(
% 8.48/2.14    ! [X1 : nat,X5 : nat,X6 : nat,X7 : list(vEBT_VEBT)] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),X1)) => (iG699(X1,X5,X6,X7) <=> iG698(X7,X6,X1))) & ! [X1 : nat,X5 : nat,X6 : nat,X7 : list(vEBT_VEBT)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),X1)) => (iG699(X1,X5,X6,X7) <=> $false))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG699])])).
% 8.48/2.14  tff(f44399,plain,(
% 8.48/2.14    ( ! [X2 : nat,X3 : list(vEBT_VEBT),X0 : nat,X1 : nat] : (iG698(X3,X2,X0) | ~iG699(X0,X1,X2,X3) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36192])).
% 8.48/2.14  tff(f44395,plain,(
% 8.48/2.14    ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat,X5 : nat] : (~iG700(X5,X6,X7,X8,X9) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X5))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36191])).
% 8.48/2.14  tff(f36191,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (((iG700(X0,X1,X2,X3,X4) | ~iG699(X1,X2,X3,X4)) & (iG699(X1,X2,X3,X4) | ~iG700(X0,X1,X2,X3,X4))) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (~iG700(X5,X6,X7,X8,X9) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X5)))),
% 8.48/2.14    inference(nnf_transformation,[],[f26059])).
% 8.48/2.14  tff(f26059,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : ((iG700(X0,X1,X2,X3,X4) <=> iG699(X1,X2,X3,X4)) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (~iG700(X5,X6,X7,X8,X9) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X5)))),
% 8.48/2.14    inference(ennf_transformation,[],[f20150])).
% 8.48/2.14  tff(f20150,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) => (iG700(X0,X1,X2,X3,X4) <=> iG699(X1,X2,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X5)) => ~iG700(X5,X6,X7,X8,X9))),
% 8.48/2.14    inference(flattening,[],[f20149])).
% 8.48/2.14  tff(f20149,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) => (iG700(X0,X1,X2,X3,X4) <=> iG699(X1,X2,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X5)) => ~iG700(X5,X6,X7,X8,X9))),
% 8.48/2.14    inference(true_and_false_elimination,[],[f20148])).
% 8.48/2.14  tff(f20148,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) => (iG700(X0,X1,X2,X3,X4) <=> iG699(X1,X2,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X5)) => (iG700(X5,X6,X7,X8,X9) <=> $false))),
% 8.48/2.14    inference(rectify,[],[f15727])).
% 8.48/2.14  tff(f15727,plain,(
% 8.48/2.14    ! [X4 : nat,X1 : nat,X5 : nat,X6 : nat,X7 : list(vEBT_VEBT)] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X4)) => (iG700(X4,X1,X5,X6,X7) <=> iG699(X1,X5,X6,X7))) & ! [X4 : nat,X1 : nat,X5 : nat,X6 : nat,X7 : list(vEBT_VEBT)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X4)) => (iG700(X4,X1,X5,X6,X7) <=> $false))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG700])])).
% 8.48/2.14  tff(f44396,plain,(
% 8.48/2.14    ( ! [X2 : nat,X3 : nat,X0 : nat,X1 : nat,X4 : list(vEBT_VEBT)] : (iG699(X1,X2,X3,X4) | ~iG700(X0,X1,X2,X3,X4) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36191])).
% 8.48/2.14  tff(f44393,plain,(
% 8.48/2.14    ( ! [X2 : nat,X3 : nat,X0 : nat,X1 : nat,X4 : list(vEBT_VEBT)] : (iG700(X2,X1,X0,X3,X4) | ~iG701(X0,X1,X2,X3,X4) | X0 = X1) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36190])).
% 8.48/2.14  tff(f36190,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (((iG701(X0,X1,X2,X3,X4) | ~iG700(X2,X1,X0,X3,X4)) & (iG700(X2,X1,X0,X3,X4) | ~iG701(X0,X1,X2,X3,X4))) | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (iG701(X5,X6,X7,X8,X9) | X5 != X6)),
% 8.48/2.14    inference(nnf_transformation,[],[f26058])).
% 8.48/2.14  tff(f26058,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : ((iG701(X0,X1,X2,X3,X4) <=> iG700(X2,X1,X0,X3,X4)) | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (iG701(X5,X6,X7,X8,X9) | X5 != X6)),
% 8.48/2.14    inference(ennf_transformation,[],[f20147])).
% 8.48/2.14  tff(f20147,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (X0 != X1 => (iG701(X0,X1,X2,X3,X4) <=> iG700(X2,X1,X0,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => iG701(X5,X6,X7,X8,X9))),
% 8.48/2.14    inference(flattening,[],[f20146])).
% 8.48/2.14  tff(f20146,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (~X0 = X1 => (iG701(X0,X1,X2,X3,X4) <=> iG700(X2,X1,X0,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => iG701(X5,X6,X7,X8,X9))),
% 8.48/2.14    inference(true_and_false_elimination,[],[f20145])).
% 8.48/2.14  tff(f20145,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (~X0 = X1 => (iG701(X0,X1,X2,X3,X4) <=> iG700(X2,X1,X0,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => (iG701(X5,X6,X7,X8,X9) <=> $true))),
% 8.48/2.14    inference(rectify,[],[f15728])).
% 8.48/2.14  tff(f15728,plain,(
% 8.48/2.14    ! [X5 : nat,X1 : nat,X4 : nat,X6 : nat,X7 : list(vEBT_VEBT)] : (~X1 = X5 => (iG701(X5,X1,X4,X6,X7) <=> iG700(X4,X1,X5,X6,X7))) & ! [X5 : nat,X1 : nat,X4 : nat,X6 : nat,X7 : list(vEBT_VEBT)] : (X1 = X5 => (iG701(X5,X1,X4,X6,X7) <=> $true))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG701])])).
% 8.48/2.14  tff(f44390,plain,(
% 8.48/2.14    ( ! [X2 : nat,X3 : nat,X0 : nat,X1 : nat,X4 : list(vEBT_VEBT)] : (iG701(X2,X1,X0,X3,X4) | ~iG702(X0,X1,X2,X3,X4) | X0 = X1) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36189])).
% 8.48/2.14  tff(f36189,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (((iG702(X0,X1,X2,X3,X4) | ~iG701(X2,X1,X0,X3,X4)) & (iG701(X2,X1,X0,X3,X4) | ~iG702(X0,X1,X2,X3,X4))) | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (iG702(X5,X6,X7,X8,X9) | X5 != X6)),
% 8.48/2.14    inference(nnf_transformation,[],[f26057])).
% 8.48/2.14  tff(f26057,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : ((iG702(X0,X1,X2,X3,X4) <=> iG701(X2,X1,X0,X3,X4)) | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (iG702(X5,X6,X7,X8,X9) | X5 != X6)),
% 8.48/2.14    inference(ennf_transformation,[],[f20144])).
% 8.48/2.14  tff(f20144,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (X0 != X1 => (iG702(X0,X1,X2,X3,X4) <=> iG701(X2,X1,X0,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => iG702(X5,X6,X7,X8,X9))),
% 8.48/2.14    inference(flattening,[],[f20143])).
% 8.48/2.14  tff(f20143,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (~X0 = X1 => (iG702(X0,X1,X2,X3,X4) <=> iG701(X2,X1,X0,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => iG702(X5,X6,X7,X8,X9))),
% 8.48/2.14    inference(true_and_false_elimination,[],[f20142])).
% 8.48/2.14  tff(f20142,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (~X0 = X1 => (iG702(X0,X1,X2,X3,X4) <=> iG701(X2,X1,X0,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => (iG702(X5,X6,X7,X8,X9) <=> $true))),
% 8.48/2.14    inference(rectify,[],[f15729])).
% 8.48/2.14  tff(f15729,plain,(
% 8.48/2.14    ! [X4 : nat,X1 : nat,X5 : nat,X6 : nat,X7 : list(vEBT_VEBT)] : (~X1 = X4 => (iG702(X4,X1,X5,X6,X7) <=> iG701(X5,X1,X4,X6,X7))) & ! [X4 : nat,X1 : nat,X5 : nat,X6 : nat,X7 : list(vEBT_VEBT)] : (X1 = X4 => (iG702(X4,X1,X5,X6,X7) <=> $true))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG702])])).
% 8.48/2.14  tff(f44387,plain,(
% 8.48/2.14    ( ! [X2 : int,X3 : real] : (aa(nat,real,aa(real,fun(nat,real),power_power(real),X3),nat2(X2)) = iG703(X2,X3) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X2))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26056])).
% 8.48/2.14  tff(f26056,plain,(
% 8.48/2.14    ! [X0 : int,X1 : real] : (divide_divide(real,one_one(real),aa(nat,real,aa(real,fun(nat,real),power_power(real),X1),nat2(aa(int,int,uminus_uminus(int),X0)))) = iG703(X0,X1) | ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0))) & ! [X2 : int,X3 : real] : (aa(nat,real,aa(real,fun(nat,real),power_power(real),X3),nat2(X2)) = iG703(X2,X3) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X2)))),
% 8.48/2.14    inference(ennf_transformation,[],[f20141])).
% 8.48/2.14  tff(f20141,plain,(
% 8.48/2.14    ! [X0 : int,X1 : real] : (($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0)) => divide_divide(real,one_one(real),aa(nat,real,aa(real,fun(nat,real),power_power(real),X1),nat2(aa(int,int,uminus_uminus(int),X0)))) = iG703(X0,X1)) & ! [X2 : int,X3 : real] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X2)) => aa(nat,real,aa(real,fun(nat,real),power_power(real),X3),nat2(X2)) = iG703(X2,X3))),
% 8.48/2.14    inference(flattening,[],[f20140])).
% 8.48/2.14  tff(f20140,plain,(
% 8.48/2.14    ! [X0 : int,X1 : real] : (~($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0)) => divide_divide(real,one_one(real),aa(nat,real,aa(real,fun(nat,real),power_power(real),X1),nat2(aa(int,int,uminus_uminus(int),X0)))) = iG703(X0,X1)) & ! [X2 : int,X3 : real] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X2)) => aa(nat,real,aa(real,fun(nat,real),power_power(real),X3),nat2(X2)) = iG703(X2,X3))),
% 8.48/2.14    inference(rectify,[],[f16020])).
% 8.48/2.14  tff(f16020,plain,(
% 8.48/2.14    ! [X1 : int,X0 : real] : (~($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X1)) => divide_divide(real,one_one(real),aa(nat,real,aa(real,fun(nat,real),power_power(real),X0),nat2(aa(int,int,uminus_uminus(int),X1)))) = iG703(X1,X0)) & ! [X1 : int,X0 : real] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X1)) => aa(nat,real,aa(real,fun(nat,real),power_power(real),X0),nat2(X1)) = iG703(X1,X0))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG703])])).
% 8.48/2.14  tff(f44388,plain,(
% 8.48/2.14    ( ! [X0 : int,X1 : real] : (divide_divide(real,one_one(real),aa(nat,real,aa(real,fun(nat,real),power_power(real),X1),nat2(aa(int,int,uminus_uminus(int),X0)))) = iG703(X0,X1) | ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26056])).
% 8.48/2.14  tff(f44385,plain,(
% 8.48/2.14    ( ! [X2 : int,X3 : real] : (aa(nat,real,aa(real,fun(nat,real),power_power(real),X3),nat2(X2)) = iG704(X2,X3) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X2))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26055])).
% 8.48/2.14  tff(f26055,plain,(
% 8.48/2.14    ! [X0 : int,X1 : real] : (aa(real,real,inverse_inverse(real),aa(nat,real,aa(real,fun(nat,real),power_power(real),X1),nat2(aa(int,int,uminus_uminus(int),X0)))) = iG704(X0,X1) | ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0))) & ! [X2 : int,X3 : real] : (aa(nat,real,aa(real,fun(nat,real),power_power(real),X3),nat2(X2)) = iG704(X2,X3) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X2)))),
% 8.48/2.14    inference(ennf_transformation,[],[f20139])).
% 8.48/2.14  tff(f20139,plain,(
% 8.48/2.14    ! [X0 : int,X1 : real] : (($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0)) => aa(real,real,inverse_inverse(real),aa(nat,real,aa(real,fun(nat,real),power_power(real),X1),nat2(aa(int,int,uminus_uminus(int),X0)))) = iG704(X0,X1)) & ! [X2 : int,X3 : real] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X2)) => aa(nat,real,aa(real,fun(nat,real),power_power(real),X3),nat2(X2)) = iG704(X2,X3))),
% 8.48/2.14    inference(flattening,[],[f20138])).
% 8.48/2.14  tff(f20138,plain,(
% 8.48/2.14    ! [X0 : int,X1 : real] : (~($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0)) => aa(real,real,inverse_inverse(real),aa(nat,real,aa(real,fun(nat,real),power_power(real),X1),nat2(aa(int,int,uminus_uminus(int),X0)))) = iG704(X0,X1)) & ! [X2 : int,X3 : real] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X2)) => aa(nat,real,aa(real,fun(nat,real),power_power(real),X3),nat2(X2)) = iG704(X2,X3))),
% 8.48/2.14    inference(rectify,[],[f16023])).
% 8.48/2.14  tff(f16023,plain,(
% 8.48/2.14    ! [X1 : int,X0 : real] : (~($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X1)) => aa(real,real,inverse_inverse(real),aa(nat,real,aa(real,fun(nat,real),power_power(real),X0),nat2(aa(int,int,uminus_uminus(int),X1)))) = iG704(X1,X0)) & ! [X1 : int,X0 : real] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X1)) => aa(nat,real,aa(real,fun(nat,real),power_power(real),X0),nat2(X1)) = iG704(X1,X0))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG704])])).
% 8.48/2.14  tff(f44386,plain,(
% 8.48/2.14    ( ! [X0 : int,X1 : real] : (aa(real,real,inverse_inverse(real),aa(nat,real,aa(real,fun(nat,real),power_power(real),X1),nat2(aa(int,int,uminus_uminus(int),X0)))) = iG704(X0,X1) | ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26055])).
% 8.48/2.14  tff(f44383,plain,(
% 8.48/2.14    ( ! [X2 : int,X3 : int] : (aa(list(int),list(int),cons(int,X3),upto(aa(int,int,aa(int,fun(int,int),plus_plus(int),X3),one_one(int)),X2)) = iG705(X2,X3) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X3),X2))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26054])).
% 8.48/2.14  tff(f26054,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (nil(int) = iG705(X0,X1) | ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X1),X0))) & ! [X2 : int,X3 : int] : (aa(list(int),list(int),cons(int,X3),upto(aa(int,int,aa(int,fun(int,int),plus_plus(int),X3),one_one(int)),X2)) = iG705(X2,X3) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X3),X2)))),
% 8.48/2.14    inference(ennf_transformation,[],[f20137])).
% 8.48/2.14  tff(f20137,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X1),X0)) => nil(int) = iG705(X0,X1)) & ! [X2 : int,X3 : int] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X3),X2)) => aa(list(int),list(int),cons(int,X3),upto(aa(int,int,aa(int,fun(int,int),plus_plus(int),X3),one_one(int)),X2)) = iG705(X2,X3))),
% 8.48/2.14    inference(flattening,[],[f20136])).
% 8.48/2.14  tff(f20136,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (~($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X1),X0)) => nil(int) = iG705(X0,X1)) & ! [X2 : int,X3 : int] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X3),X2)) => aa(list(int),list(int),cons(int,X3),upto(aa(int,int,aa(int,fun(int,int),plus_plus(int),X3),one_one(int)),X2)) = iG705(X2,X3))),
% 8.48/2.14    inference(rectify,[],[f16332])).
% 8.48/2.14  tff(f16332,plain,(
% 8.48/2.14    ! [X1 : int,X0 : int] : (~($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X0),X1)) => nil(int) = iG705(X1,X0)) & ! [X1 : int,X0 : int] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X0),X1)) => aa(list(int),list(int),cons(int,X0),upto(aa(int,int,aa(int,fun(int,int),plus_plus(int),X0),one_one(int)),X1)) = iG705(X1,X0))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG705])])).
% 8.48/2.14  tff(f44384,plain,(
% 8.48/2.14    ( ! [X0 : int,X1 : int] : (nil(int) = iG705(X0,X1) | ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X1),X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26054])).
% 8.48/2.14  tff(f44380,plain,(
% 8.48/2.14    ( ! [X0 : int,X1 : int] : (($true = bG706(X0,X1)) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36188])).
% 8.48/2.14  tff(f36188,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) & ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)) | ($true != bG706(X0,X1))) & (($true = bG706(X0,X1)) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)))),
% 8.48/2.14    inference(flattening,[],[f36187])).
% 8.48/2.14  tff(f36187,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) & ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)) | ($true != bG706(X0,X1))) & (($true = bG706(X0,X1)) | (dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1))))),
% 8.48/2.14    inference(nnf_transformation,[],[f20135])).
% 8.48/2.14  tff(f20135,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : ((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) & ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)) <=> ($true = bG706(X0,X1)))),
% 8.48/2.14    inference(rectify,[],[f16335])).
% 8.48/2.14  tff(f16335,plain,(
% 8.48/2.14    ! [X1 : int,X0 : int] : ((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1) & ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0)) <=> ($true = bG706(X1,X0)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG706])])).
% 8.48/2.14  tff(f44381,plain,(
% 8.48/2.14    ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1) | ($true != bG706(X0,X1))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36188])).
% 8.48/2.14  tff(f44382,plain,(
% 8.48/2.14    ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | ($true != bG706(X0,X1))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36188])).
% 8.48/2.14  tff(f44377,plain,(
% 8.48/2.14    ( ! [X0 : int,X1 : int] : (($true = bG707(X0,X1)) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36186])).
% 8.48/2.14  tff(f36186,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) & ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)) | ($true != bG707(X0,X1))) & (($true = bG707(X0,X1)) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)))),
% 8.48/2.14    inference(flattening,[],[f36185])).
% 8.48/2.14  tff(f36185,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) & ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)) | ($true != bG707(X0,X1))) & (($true = bG707(X0,X1)) | (dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1))))),
% 8.48/2.14    inference(nnf_transformation,[],[f20134])).
% 8.48/2.14  tff(f20134,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : ((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) & ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)) <=> ($true = bG707(X0,X1)))),
% 8.48/2.14    inference(rectify,[],[f16336])).
% 8.48/2.14  tff(f16336,plain,(
% 8.48/2.14    ! [X1 : int,X0 : int] : ((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1) & ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0)) <=> ($true = bG707(X1,X0)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG707])])).
% 8.48/2.14  tff(f44378,plain,(
% 8.48/2.14    ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1) | ($true != bG707(X0,X1))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36186])).
% 8.48/2.14  tff(f44379,plain,(
% 8.48/2.14    ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | ($true != bG707(X0,X1))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36186])).
% 8.48/2.14  tff(f44374,plain,(
% 8.48/2.14    ( ! [X2 : int,X3 : int] : (aa(int,int,uminus_uminus(int),aa($o,int,zero_neq_one_of_bool(int),bG706(X2,X3))) = iG708(X2,X3) | ~member(int,X2,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int))))) | ~member(int,X3,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int)))))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26053])).
% 8.48/2.14  tff(f26053,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),aa($o,int,zero_neq_one_of_bool(int),bG707(X0,X1))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))),aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),divide_divide(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),divide_divide(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))))) = iG708(X0,X1) | (member(int,X0,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int))))) & member(int,X1,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int))))))) & ! [X2 : int,X3 : int] : (aa(int,int,uminus_uminus(int),aa($o,int,zero_neq_one_of_bool(int),bG706(X2,X3))) = iG708(X2,X3) | ~member(int,X2,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int))))) | ~member(int,X3,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int))))))),
% 8.48/2.14    inference(flattening,[],[f26052])).
% 8.48/2.14  tff(f26052,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),aa($o,int,zero_neq_one_of_bool(int),bG707(X0,X1))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))),aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),divide_divide(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),divide_divide(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))))) = iG708(X0,X1) | (member(int,X0,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int))))) & member(int,X1,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int))))))) & ! [X2 : int,X3 : int] : (aa(int,int,uminus_uminus(int),aa($o,int,zero_neq_one_of_bool(int),bG706(X2,X3))) = iG708(X2,X3) | (~member(int,X2,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int))))) | ~member(int,X3,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int)))))))),
% 8.48/2.14    inference(ennf_transformation,[],[f20133])).
% 8.48/2.14  tff(f20133,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int] : (~(member(int,X0,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int))))) & member(int,X1,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int)))))) => aa(int,int,aa(int,fun(int,int),plus_plus(int),aa($o,int,zero_neq_one_of_bool(int),bG707(X0,X1))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))),aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),divide_divide(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),divide_divide(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))))) = iG708(X0,X1)) & ! [X2 : int,X3 : int] : ((member(int,X2,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int))))) & member(int,X3,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int)))))) => aa(int,int,uminus_uminus(int),aa($o,int,zero_neq_one_of_bool(int),bG706(X2,X3))) = iG708(X2,X3))),
% 8.48/2.14    inference(rectify,[],[f16337])).
% 8.48/2.14  tff(f16337,plain,(
% 8.48/2.14    ! [X1 : int,X0 : int] : (~(member(int,X1,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int))))) & member(int,X0,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int)))))) => aa(int,int,aa(int,fun(int,int),plus_plus(int),aa($o,int,zero_neq_one_of_bool(int),bG707(X1,X0))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))),aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),divide_divide(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),divide_divide(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))))) = iG708(X1,X0)) & ! [X1 : int,X0 : int] : ((member(int,X1,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int))))) & member(int,X0,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int)))))) => aa(int,int,uminus_uminus(int),aa($o,int,zero_neq_one_of_bool(int),bG706(X1,X0))) = iG708(X1,X0))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG708])])).
% 8.48/2.14  tff(f44375,plain,(
% 8.48/2.14    ( ! [X0 : int,X1 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),aa($o,int,zero_neq_one_of_bool(int),bG707(X0,X1))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))),aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),divide_divide(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),divide_divide(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))))) = iG708(X0,X1) | member(int,X1,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int)))))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26053])).
% 8.48/2.14  tff(f44376,plain,(
% 8.48/2.14    ( ! [X0 : int,X1 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),aa($o,int,zero_neq_one_of_bool(int),bG707(X0,X1))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))),aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),divide_divide(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),divide_divide(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))))) = iG708(X0,X1) | member(int,X0,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int)))))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26053])).
% 8.48/2.14  tff(f61290,plain,(
% 8.48/2.14    ($true = bG709($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44372])).
% 8.48/2.14  tff(f44372,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG709(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36184])).
% 8.48/2.14  tff(f36184,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG709(X0))) & (($true = bG709(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20132])).
% 8.48/2.14  tff(f20132,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG709(X0)))),
% 8.48/2.14    inference(rectify,[],[f16400])).
% 8.48/2.14  tff(f16400,plain,(
% 8.48/2.14    ! [X40 : $o] : (($true = X40) <=> ($true = bG709(X40)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG709])])).
% 8.48/2.14  tff(f44373,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG709(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36184])).
% 8.48/2.14  tff(f61289,plain,(
% 8.48/2.14    ($true = bG710($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44370])).
% 8.48/2.14  tff(f44370,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG710(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36183])).
% 8.48/2.14  tff(f36183,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG710(X0))) & (($true = bG710(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20131])).
% 8.48/2.14  tff(f20131,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG710(X0)))),
% 8.48/2.14    inference(rectify,[],[f16401])).
% 8.48/2.14  tff(f16401,plain,(
% 8.48/2.14    ! [X41 : $o] : (($true = X41) <=> ($true = bG710(X41)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG710])])).
% 8.48/2.14  tff(f44371,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG710(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36183])).
% 8.48/2.14  tff(f44366,plain,(
% 8.48/2.14    ( ! [X2 : int,X3 : nat] : (aa(nat,int,semiring_1_of_nat(int),X3) = X2 | ~iG711(X2,X3) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X2))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36182])).
% 8.48/2.14  tff(f36182,plain,(
% 8.48/2.14    ! [X0 : int,X1 : nat] : (((iG711(X0,X1) | zero_zero(nat) != X1) & (zero_zero(nat) = X1 | ~iG711(X0,X1))) | ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0))) & ! [X2 : int,X3 : nat] : (((iG711(X2,X3) | aa(nat,int,semiring_1_of_nat(int),X3) != X2) & (aa(nat,int,semiring_1_of_nat(int),X3) = X2 | ~iG711(X2,X3))) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X2)))),
% 8.48/2.14    inference(nnf_transformation,[],[f26051])).
% 8.48/2.14  tff(f26051,plain,(
% 8.48/2.14    ! [X0 : int,X1 : nat] : ((iG711(X0,X1) <=> zero_zero(nat) = X1) | ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0))) & ! [X2 : int,X3 : nat] : ((iG711(X2,X3) <=> aa(nat,int,semiring_1_of_nat(int),X3) = X2) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X2)))),
% 8.48/2.14    inference(ennf_transformation,[],[f20130])).
% 8.48/2.14  tff(f20130,plain,(
% 8.48/2.14    ! [X0 : int,X1 : nat] : (($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0)) => (iG711(X0,X1) <=> zero_zero(nat) = X1)) & ! [X2 : int,X3 : nat] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X2)) => (iG711(X2,X3) <=> aa(nat,int,semiring_1_of_nat(int),X3) = X2))),
% 8.48/2.14    inference(flattening,[],[f20129])).
% 8.48/2.14  tff(f20129,plain,(
% 8.48/2.14    ! [X0 : int,X1 : nat] : (~($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0)) => (iG711(X0,X1) <=> zero_zero(nat) = X1)) & ! [X2 : int,X3 : nat] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X2)) => (iG711(X2,X3) <=> aa(nat,int,semiring_1_of_nat(int),X3) = X2))),
% 8.48/2.14    inference(rectify,[],[f16406])).
% 8.48/2.14  tff(f16406,plain,(
% 8.48/2.14    ! [X0 : int,X1 : nat] : (~($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0)) => (iG711(X0,X1) <=> zero_zero(nat) = X1)) & ! [X0 : int,X1 : nat] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0)) => (iG711(X0,X1) <=> aa(nat,int,semiring_1_of_nat(int),X1) = X0))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG711])])).
% 8.48/2.14  tff(f61288,plain,(
% 8.48/2.14    ( ! [X3 : nat] : (iG711(aa(nat,int,semiring_1_of_nat(int),X3),X3) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),aa(nat,int,semiring_1_of_nat(int),X3)))) )),
% 8.48/2.14    inference(equality_resolution,[],[f44367])).
% 8.48/2.14  tff(f44367,plain,(
% 8.48/2.14    ( ! [X2 : int,X3 : nat] : (iG711(X2,X3) | aa(nat,int,semiring_1_of_nat(int),X3) != X2 | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X2))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36182])).
% 8.48/2.14  tff(f44368,plain,(
% 8.48/2.14    ( ! [X0 : int,X1 : nat] : (zero_zero(nat) = X1 | ~iG711(X0,X1) | ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36182])).
% 8.48/2.14  tff(f61287,plain,(
% 8.48/2.14    ( ! [X0 : int] : (iG711(X0,zero_zero(nat)) | ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0))) )),
% 8.48/2.14    inference(equality_resolution,[],[f44369])).
% 8.48/2.14  tff(f44369,plain,(
% 8.48/2.14    ( ! [X0 : int,X1 : nat] : (iG711(X0,X1) | zero_zero(nat) != X1 | ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36182])).
% 8.48/2.14  tff(f44362,plain,(
% 8.48/2.14    ( ! [X2 : int,X3 : nat] : (aa(nat,int,semiring_1_of_nat(int),X3) = X2 | ~iG712(X2,X3) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X2))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36181])).
% 8.48/2.14  tff(f36181,plain,(
% 8.48/2.14    ! [X0 : int,X1 : nat] : (((iG712(X0,X1) | zero_zero(nat) != X1) & (zero_zero(nat) = X1 | ~iG712(X0,X1))) | ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0))) & ! [X2 : int,X3 : nat] : (((iG712(X2,X3) | aa(nat,int,semiring_1_of_nat(int),X3) != X2) & (aa(nat,int,semiring_1_of_nat(int),X3) = X2 | ~iG712(X2,X3))) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X2)))),
% 8.48/2.14    inference(nnf_transformation,[],[f26050])).
% 8.48/2.14  tff(f26050,plain,(
% 8.48/2.14    ! [X0 : int,X1 : nat] : ((iG712(X0,X1) <=> zero_zero(nat) = X1) | ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0))) & ! [X2 : int,X3 : nat] : ((iG712(X2,X3) <=> aa(nat,int,semiring_1_of_nat(int),X3) = X2) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X2)))),
% 8.48/2.14    inference(ennf_transformation,[],[f20128])).
% 8.48/2.14  tff(f20128,plain,(
% 8.48/2.14    ! [X0 : int,X1 : nat] : (($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0)) => (iG712(X0,X1) <=> zero_zero(nat) = X1)) & ! [X2 : int,X3 : nat] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X2)) => (iG712(X2,X3) <=> aa(nat,int,semiring_1_of_nat(int),X3) = X2))),
% 8.48/2.14    inference(flattening,[],[f20127])).
% 8.48/2.14  tff(f20127,plain,(
% 8.48/2.14    ! [X0 : int,X1 : nat] : (~($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0)) => (iG712(X0,X1) <=> zero_zero(nat) = X1)) & ! [X2 : int,X3 : nat] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X2)) => (iG712(X2,X3) <=> aa(nat,int,semiring_1_of_nat(int),X3) = X2))),
% 8.48/2.14    inference(rectify,[],[f16409])).
% 8.48/2.14  tff(f16409,plain,(
% 8.48/2.14    ! [X1 : int,X0 : nat] : (~($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X1)) => (iG712(X1,X0) <=> zero_zero(nat) = X0)) & ! [X1 : int,X0 : nat] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X1)) => (iG712(X1,X0) <=> aa(nat,int,semiring_1_of_nat(int),X0) = X1))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG712])])).
% 8.48/2.14  tff(f61286,plain,(
% 8.48/2.14    ( ! [X3 : nat] : (iG712(aa(nat,int,semiring_1_of_nat(int),X3),X3) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),aa(nat,int,semiring_1_of_nat(int),X3)))) )),
% 8.48/2.14    inference(equality_resolution,[],[f44363])).
% 8.48/2.14  tff(f44363,plain,(
% 8.48/2.14    ( ! [X2 : int,X3 : nat] : (iG712(X2,X3) | aa(nat,int,semiring_1_of_nat(int),X3) != X2 | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X2))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36181])).
% 8.48/2.14  tff(f44364,plain,(
% 8.48/2.14    ( ! [X0 : int,X1 : nat] : (zero_zero(nat) = X1 | ~iG712(X0,X1) | ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36181])).
% 8.48/2.14  tff(f61285,plain,(
% 8.48/2.14    ( ! [X0 : int] : (iG712(X0,zero_zero(nat)) | ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0))) )),
% 8.48/2.14    inference(equality_resolution,[],[f44365])).
% 8.48/2.14  tff(f44365,plain,(
% 8.48/2.14    ( ! [X0 : int,X1 : nat] : (iG712(X0,X1) | zero_zero(nat) != X1 | ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36181])).
% 8.48/2.14  tff(f44358,plain,(
% 8.48/2.14    ( ! [X2 : int,X3 : nat] : (dvd_dvd(int,X2,aa(nat,int,semiring_1_of_nat(int),X3)) | ~iG713(X2,X3) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X2))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36180])).
% 8.48/2.14  tff(f36180,plain,(
% 8.48/2.14    ! [X0 : int,X1 : nat] : (((iG713(X0,X1) | zero_zero(nat) != X1) & (zero_zero(nat) = X1 | ~iG713(X0,X1))) | ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0))) & ! [X2 : int,X3 : nat] : (((iG713(X2,X3) | ~dvd_dvd(int,X2,aa(nat,int,semiring_1_of_nat(int),X3))) & (dvd_dvd(int,X2,aa(nat,int,semiring_1_of_nat(int),X3)) | ~iG713(X2,X3))) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X2)))),
% 8.48/2.14    inference(nnf_transformation,[],[f26049])).
% 8.48/2.14  tff(f26049,plain,(
% 8.48/2.14    ! [X0 : int,X1 : nat] : ((iG713(X0,X1) <=> zero_zero(nat) = X1) | ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0))) & ! [X2 : int,X3 : nat] : ((iG713(X2,X3) <=> dvd_dvd(int,X2,aa(nat,int,semiring_1_of_nat(int),X3))) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X2)))),
% 8.48/2.14    inference(ennf_transformation,[],[f20126])).
% 8.48/2.14  tff(f20126,plain,(
% 8.48/2.14    ! [X0 : int,X1 : nat] : (($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0)) => (iG713(X0,X1) <=> zero_zero(nat) = X1)) & ! [X2 : int,X3 : nat] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X2)) => (iG713(X2,X3) <=> dvd_dvd(int,X2,aa(nat,int,semiring_1_of_nat(int),X3))))),
% 8.48/2.14    inference(flattening,[],[f20125])).
% 8.48/2.14  tff(f20125,plain,(
% 8.48/2.14    ! [X0 : int,X1 : nat] : (~($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0)) => (iG713(X0,X1) <=> zero_zero(nat) = X1)) & ! [X2 : int,X3 : nat] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X2)) => (iG713(X2,X3) <=> dvd_dvd(int,X2,aa(nat,int,semiring_1_of_nat(int),X3))))),
% 8.48/2.14    inference(rectify,[],[f16416])).
% 8.48/2.14  tff(f16416,plain,(
% 8.48/2.14    ! [X0 : int,X1 : nat] : (~($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0)) => (iG713(X0,X1) <=> zero_zero(nat) = X1)) & ! [X0 : int,X1 : nat] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0)) => (iG713(X0,X1) <=> dvd_dvd(int,X0,aa(nat,int,semiring_1_of_nat(int),X1))))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG713])])).
% 8.48/2.14  tff(f44359,plain,(
% 8.48/2.14    ( ! [X2 : int,X3 : nat] : (iG713(X2,X3) | ~dvd_dvd(int,X2,aa(nat,int,semiring_1_of_nat(int),X3)) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X2))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36180])).
% 8.48/2.14  tff(f44360,plain,(
% 8.48/2.14    ( ! [X0 : int,X1 : nat] : (zero_zero(nat) = X1 | ~iG713(X0,X1) | ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36180])).
% 8.48/2.14  tff(f61284,plain,(
% 8.48/2.14    ( ! [X0 : int] : (iG713(X0,zero_zero(nat)) | ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0))) )),
% 8.48/2.14    inference(equality_resolution,[],[f44361])).
% 8.48/2.14  tff(f44361,plain,(
% 8.48/2.14    ( ! [X0 : int,X1 : nat] : (iG713(X0,X1) | zero_zero(nat) != X1 | ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36180])).
% 8.48/2.14  tff(f61283,plain,(
% 8.48/2.14    ($true = bG714($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44356])).
% 8.48/2.14  tff(f44356,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG714(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36179])).
% 8.48/2.14  tff(f36179,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG714(X0))) & (($true = bG714(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f16919])).
% 8.48/2.14  tff(f16919,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG714(X0)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG714])])).
% 8.48/2.14  tff(f44357,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG714(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36179])).
% 8.48/2.14  tff(f61282,plain,(
% 8.48/2.14    ($true = bG715($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44354])).
% 8.48/2.14  tff(f44354,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG715(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36178])).
% 8.48/2.14  tff(f36178,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG715(X0))) & (($true = bG715(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20124])).
% 8.48/2.14  tff(f20124,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG715(X0)))),
% 8.48/2.14    inference(rectify,[],[f16920])).
% 8.48/2.14  tff(f16920,plain,(
% 8.48/2.14    ! [X1 : $o] : (($true = X1) <=> ($true = bG715(X1)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG715])])).
% 8.48/2.14  tff(f44355,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG715(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36178])).
% 8.48/2.14  tff(f44352,plain,(
% 8.48/2.14    ( ! [X3 : $tType,X4 : X3,X5 : set(X3)] : (iG716(X3,X4,X5) = X4 | ($true != aa(set(X3),$o,aa(set(X3),fun(set(X3),$o),ord_less_eq(set(X3)),X5),aa(set(X3),set(X3),insert(X3,X4),bot_bot(set(X3)))))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26048])).
% 8.48/2.14  tff(f26048,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : X0,X2 : set(X0)] : (the(X0,aa(set(X0),fun(X0,$o),aTP_Lamp_afn(X0,fun(set(X0),fun(X0,$o)),X1),X2)) = iG716(X0,X1,X2) | ($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X2),aa(set(X0),set(X0),insert(X0,X1),bot_bot(set(X0)))))) & ! [X3 : $tType,X4 : X3,X5 : set(X3)] : (iG716(X3,X4,X5) = X4 | ($true != aa(set(X3),$o,aa(set(X3),fun(set(X3),$o),ord_less_eq(set(X3)),X5),aa(set(X3),set(X3),insert(X3,X4),bot_bot(set(X3))))))),
% 8.48/2.14    inference(ennf_transformation,[],[f20123])).
% 8.48/2.14  tff(f20123,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : X0,X2 : set(X0)] : (($true != aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X2),aa(set(X0),set(X0),insert(X0,X1),bot_bot(set(X0))))) => the(X0,aa(set(X0),fun(X0,$o),aTP_Lamp_afn(X0,fun(set(X0),fun(X0,$o)),X1),X2)) = iG716(X0,X1,X2)) & ! [X3 : $tType,X4 : X3,X5 : set(X3)] : (($true = aa(set(X3),$o,aa(set(X3),fun(set(X3),$o),ord_less_eq(set(X3)),X5),aa(set(X3),set(X3),insert(X3,X4),bot_bot(set(X3))))) => iG716(X3,X4,X5) = X4)),
% 8.48/2.14    inference(flattening,[],[f20122])).
% 8.48/2.14  tff(f20122,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : X0,X2 : set(X0)] : (~($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X2),aa(set(X0),set(X0),insert(X0,X1),bot_bot(set(X0))))) => the(X0,aa(set(X0),fun(X0,$o),aTP_Lamp_afn(X0,fun(set(X0),fun(X0,$o)),X1),X2)) = iG716(X0,X1,X2)) & ! [X3 : $tType,X4 : X3,X5 : set(X3)] : (($true = aa(set(X3),$o,aa(set(X3),fun(set(X3),$o),ord_less_eq(set(X3)),X5),aa(set(X3),set(X3),insert(X3,X4),bot_bot(set(X3))))) => iG716(X3,X4,X5) = X4)),
% 8.48/2.14    inference(rectify,[],[f16923])).
% 8.48/2.14  tff(f16923,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : X0,X2 : set(X0)] : (~($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X2),aa(set(X0),set(X0),insert(X0,X1),bot_bot(set(X0))))) => the(X0,aa(set(X0),fun(X0,$o),aTP_Lamp_afn(X0,fun(set(X0),fun(X0,$o)),X1),X2)) = iG716(X0,X1,X2)) & ! [X0 : $tType,X1 : X0,X2 : set(X0)] : (($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X2),aa(set(X0),set(X0),insert(X0,X1),bot_bot(set(X0))))) => iG716(X0,X1,X2) = X1)),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG716])])).
% 8.48/2.14  tff(f44353,plain,(
% 8.48/2.14    ( ! [X0 : $tType,X2 : set(X0),X1 : X0] : (the(X0,aa(set(X0),fun(X0,$o),aTP_Lamp_afn(X0,fun(set(X0),fun(X0,$o)),X1),X2)) = iG716(X0,X1,X2) | ($true = aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X2),aa(set(X0),set(X0),insert(X0,X1),bot_bot(set(X0)))))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26048])).
% 8.48/2.14  tff(f44350,plain,(
% 8.48/2.14    ( ! [X3 : int,X4 : int,X5 : list(int)] : (iG717(X3,X4,X5) = X5 | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X4),X3))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26047])).
% 8.48/2.14  tff(f26047,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int,X2 : list(int)] : (upto_aux(X0,aa(int,int,aa(int,fun(int,int),minus_minus(int),X1),one_one(int)),aa(list(int),list(int),cons(int,X1),X2)) = iG717(X0,X1,X2) | ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X1),X0))) & ! [X3 : int,X4 : int,X5 : list(int)] : (iG717(X3,X4,X5) = X5 | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X4),X3)))),
% 8.48/2.14    inference(ennf_transformation,[],[f20121])).
% 8.48/2.14  tff(f20121,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int,X2 : list(int)] : (($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X1),X0)) => upto_aux(X0,aa(int,int,aa(int,fun(int,int),minus_minus(int),X1),one_one(int)),aa(list(int),list(int),cons(int,X1),X2)) = iG717(X0,X1,X2)) & ! [X3 : int,X4 : int,X5 : list(int)] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X4),X3)) => iG717(X3,X4,X5) = X5)),
% 8.48/2.14    inference(flattening,[],[f20120])).
% 8.48/2.14  tff(f20120,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int,X2 : list(int)] : (~($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X1),X0)) => upto_aux(X0,aa(int,int,aa(int,fun(int,int),minus_minus(int),X1),one_one(int)),aa(list(int),list(int),cons(int,X1),X2)) = iG717(X0,X1,X2)) & ! [X3 : int,X4 : int,X5 : list(int)] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X4),X3)) => iG717(X3,X4,X5) = X5)),
% 8.48/2.14    inference(rectify,[],[f16926])).
% 8.48/2.14  tff(f16926,plain,(
% 8.48/2.14    ! [X0 : int,X1 : int,X2 : list(int)] : (~($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X1),X0)) => upto_aux(X0,aa(int,int,aa(int,fun(int,int),minus_minus(int),X1),one_one(int)),aa(list(int),list(int),cons(int,X1),X2)) = iG717(X0,X1,X2)) & ! [X0 : int,X1 : int,X2 : list(int)] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X1),X0)) => iG717(X0,X1,X2) = X2)),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG717])])).
% 8.48/2.14  tff(f44351,plain,(
% 8.48/2.14    ( ! [X2 : list(int),X0 : int,X1 : int] : (upto_aux(X0,aa(int,int,aa(int,fun(int,int),minus_minus(int),X1),one_one(int)),aa(list(int),list(int),cons(int,X1),X2)) = iG717(X0,X1,X2) | ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X1),X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26047])).
% 8.48/2.14  tff(f61281,plain,(
% 8.48/2.14    ( ! [X3 : $tType,X5 : X3] : (nil(X3) = iG718(X3,zero_zero(nat),X5)) )),
% 8.48/2.14    inference(equality_resolution,[],[f44348])).
% 8.48/2.14  tff(f44348,plain,(
% 8.48/2.14    ( ! [X3 : $tType,X4 : nat,X5 : X3] : (nil(X3) = iG718(X3,X4,X5) | zero_zero(nat) != X4) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26046])).
% 8.48/2.14  tff(f26046,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : nat,X2 : X0] : (aa(list(X0),list(X0),cons(X0,X2),nil(X0)) = iG718(X0,X1,X2) | zero_zero(nat) = X1) & ! [X3 : $tType,X4 : nat,X5 : X3] : (nil(X3) = iG718(X3,X4,X5) | zero_zero(nat) != X4)),
% 8.48/2.14    inference(ennf_transformation,[],[f20119])).
% 8.48/2.14  tff(f20119,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : nat,X2 : X0] : (zero_zero(nat) != X1 => aa(list(X0),list(X0),cons(X0,X2),nil(X0)) = iG718(X0,X1,X2)) & ! [X3 : $tType,X4 : nat,X5 : X3] : (zero_zero(nat) = X4 => nil(X3) = iG718(X3,X4,X5))),
% 8.48/2.14    inference(flattening,[],[f20118])).
% 8.48/2.14  tff(f20118,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : nat,X2 : X0] : (~zero_zero(nat) = X1 => aa(list(X0),list(X0),cons(X0,X2),nil(X0)) = iG718(X0,X1,X2)) & ! [X3 : $tType,X4 : nat,X5 : X3] : (zero_zero(nat) = X4 => nil(X3) = iG718(X3,X4,X5))),
% 8.48/2.14    inference(rectify,[],[f16929])).
% 8.48/2.14  tff(f16929,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : nat,X2 : X0] : (~zero_zero(nat) = X1 => aa(list(X0),list(X0),cons(X0,X2),nil(X0)) = iG718(X0,X1,X2)) & ! [X0 : $tType,X1 : nat,X2 : X0] : (zero_zero(nat) = X1 => nil(X0) = iG718(X0,X1,X2))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG718])])).
% 8.48/2.14  tff(f44349,plain,(
% 8.48/2.14    ( ! [X0 : $tType,X2 : X0,X1 : nat] : (aa(list(X0),list(X0),cons(X0,X2),nil(X0)) = iG718(X0,X1,X2) | zero_zero(nat) = X1) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26046])).
% 8.48/2.14  tff(f44346,plain,(
% 8.48/2.14    ( ! [X4 : $tType,X3 : list(X4),X5 : X4] : (aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(list(X4),nat,size_size(list(X4)),X3)),one_one(nat)) = iG719(X4,X3,X5) | ~member(X4,X5,aa(list(X4),set(X4),set2(X4),X3))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26045])).
% 8.48/2.14  tff(f26045,plain,(
% 8.48/2.14    ! [X0 : list(X1),X1 : $tType,X2 : X1] : (aa(list(X1),nat,size_size(list(X1)),X0) = iG719(X1,X0,X2) | member(X1,X2,aa(list(X1),set(X1),set2(X1),X0))) & ! [X3 : list(X4),X4 : $tType,X5 : X4] : (aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(list(X4),nat,size_size(list(X4)),X3)),one_one(nat)) = iG719(X4,X3,X5) | ~member(X4,X5,aa(list(X4),set(X4),set2(X4),X3)))),
% 8.48/2.14    inference(ennf_transformation,[],[f20117])).
% 8.48/2.14  tff(f20117,plain,(
% 8.48/2.14    ! [X0 : list(X1),X1 : $tType,X2 : X1] : (~member(X1,X2,aa(list(X1),set(X1),set2(X1),X0)) => aa(list(X1),nat,size_size(list(X1)),X0) = iG719(X1,X0,X2)) & ! [X3 : list(X4),X4 : $tType,X5 : X4] : (member(X4,X5,aa(list(X4),set(X4),set2(X4),X3)) => aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(list(X4),nat,size_size(list(X4)),X3)),one_one(nat)) = iG719(X4,X3,X5))),
% 8.48/2.14    inference(flattening,[],[f20116])).
% 8.48/2.14  tff(f20116,plain,(
% 8.48/2.14    ! [X0 : list(X1),X1 : $tType,X2 : X1] : (~member(X1,X2,aa(list(X1),set(X1),set2(X1),X0)) => aa(list(X1),nat,size_size(list(X1)),X0) = iG719(X1,X0,X2)) & ! [X3 : list(X4),X4 : $tType,X5 : X4] : (member(X4,X5,aa(list(X4),set(X4),set2(X4),X3)) => aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(list(X4),nat,size_size(list(X4)),X3)),one_one(nat)) = iG719(X4,X3,X5))),
% 8.48/2.14    inference(rectify,[],[f16932])).
% 8.48/2.14  tff(f16932,plain,(
% 8.48/2.14    ! [X2 : list(X0),X0 : $tType,X1 : X0] : (~member(X0,X1,aa(list(X0),set(X0),set2(X0),X2)) => aa(list(X0),nat,size_size(list(X0)),X2) = iG719(X0,X2,X1)) & ! [X2 : list(X0),X0 : $tType,X1 : X0] : (member(X0,X1,aa(list(X0),set(X0),set2(X0),X2)) => aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(list(X0),nat,size_size(list(X0)),X2)),one_one(nat)) = iG719(X0,X2,X1))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG719])])).
% 8.48/2.14  tff(f44347,plain,(
% 8.48/2.14    ( ! [X1 : $tType,X2 : X1,X0 : list(X1)] : (aa(list(X1),nat,size_size(list(X1)),X0) = iG719(X1,X0,X2) | member(X1,X2,aa(list(X1),set(X1),set2(X1),X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26045])).
% 8.48/2.14  tff(f44345,plain,(
% 8.48/2.14    ( ! [X0 : $tType,X1 : list(X0)] : (subseqs(X0,X1) = lG720(X0,X1)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f20115])).
% 8.48/2.14  tff(f20115,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : list(X0)] : subseqs(X0,X1) = lG720(X0,X1)),
% 8.48/2.14    inference(rectify,[],[f16935])).
% 8.48/2.14  tff(f16935,plain,(
% 8.48/2.14    ! [X0 : $tType,X2 : list(X0)] : subseqs(X0,X2) = lG720(X0,X2)),
% 8.48/2.14    introduced(fool_let_definition,[new_symbols(definition,[lG720])])).
% 8.48/2.14  tff(f44343,plain,(
% 8.48/2.14    ( ! [X3 : $tType,X4 : list(X3),X5 : X3] : (remdups(X3,X4) = iG721(X3,X4,X5) | ~member(X3,X5,aa(list(X3),set(X3),set2(X3),X4))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26044])).
% 8.48/2.14  tff(f26044,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : list(X0),X2 : X0] : (aa(list(X0),list(X0),cons(X0,X2),remdups(X0,X1)) = iG721(X0,X1,X2) | member(X0,X2,aa(list(X0),set(X0),set2(X0),X1))) & ! [X3 : $tType,X4 : list(X3),X5 : X3] : (remdups(X3,X4) = iG721(X3,X4,X5) | ~member(X3,X5,aa(list(X3),set(X3),set2(X3),X4)))),
% 8.48/2.14    inference(ennf_transformation,[],[f20114])).
% 8.48/2.14  tff(f20114,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : list(X0),X2 : X0] : (~member(X0,X2,aa(list(X0),set(X0),set2(X0),X1)) => aa(list(X0),list(X0),cons(X0,X2),remdups(X0,X1)) = iG721(X0,X1,X2)) & ! [X3 : $tType,X4 : list(X3),X5 : X3] : (member(X3,X5,aa(list(X3),set(X3),set2(X3),X4)) => remdups(X3,X4) = iG721(X3,X4,X5))),
% 8.48/2.14    inference(flattening,[],[f20113])).
% 8.48/2.14  tff(f20113,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : list(X0),X2 : X0] : (~member(X0,X2,aa(list(X0),set(X0),set2(X0),X1)) => aa(list(X0),list(X0),cons(X0,X2),remdups(X0,X1)) = iG721(X0,X1,X2)) & ! [X3 : $tType,X4 : list(X3),X5 : X3] : (member(X3,X5,aa(list(X3),set(X3),set2(X3),X4)) => remdups(X3,X4) = iG721(X3,X4,X5))),
% 8.48/2.14    inference(rectify,[],[f16938])).
% 8.48/2.14  tff(f16938,plain,(
% 8.48/2.14    ! [X0 : $tType,X2 : list(X0),X1 : X0] : (~member(X0,X1,aa(list(X0),set(X0),set2(X0),X2)) => aa(list(X0),list(X0),cons(X0,X1),remdups(X0,X2)) = iG721(X0,X2,X1)) & ! [X0 : $tType,X2 : list(X0),X1 : X0] : (member(X0,X1,aa(list(X0),set(X0),set2(X0),X2)) => remdups(X0,X2) = iG721(X0,X2,X1))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG721])])).
% 8.48/2.14  tff(f44344,plain,(
% 8.48/2.14    ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (aa(list(X0),list(X0),cons(X0,X2),remdups(X0,X1)) = iG721(X0,X1,X2) | member(X0,X2,aa(list(X0),set(X0),set2(X0),X1))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26044])).
% 8.48/2.14  tff(f61280,plain,(
% 8.48/2.14    ( ! [X3 : $tType,X5 : X3] : (bot_bot(set(X3)) = iG722(X3,zero_zero(nat),X5)) )),
% 8.48/2.14    inference(equality_resolution,[],[f44341])).
% 8.48/2.14  tff(f44341,plain,(
% 8.48/2.14    ( ! [X3 : $tType,X4 : nat,X5 : X3] : (bot_bot(set(X3)) = iG722(X3,X4,X5) | zero_zero(nat) != X4) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26043])).
% 8.48/2.14  tff(f26043,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : nat,X2 : X0] : (aa(set(X0),set(X0),insert(X0,X2),bot_bot(set(X0))) = iG722(X0,X1,X2) | zero_zero(nat) = X1) & ! [X3 : $tType,X4 : nat,X5 : X3] : (bot_bot(set(X3)) = iG722(X3,X4,X5) | zero_zero(nat) != X4)),
% 8.48/2.14    inference(ennf_transformation,[],[f20112])).
% 8.48/2.14  tff(f20112,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : nat,X2 : X0] : (zero_zero(nat) != X1 => aa(set(X0),set(X0),insert(X0,X2),bot_bot(set(X0))) = iG722(X0,X1,X2)) & ! [X3 : $tType,X4 : nat,X5 : X3] : (zero_zero(nat) = X4 => bot_bot(set(X3)) = iG722(X3,X4,X5))),
% 8.48/2.14    inference(flattening,[],[f20111])).
% 8.48/2.14  tff(f20111,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : nat,X2 : X0] : (~zero_zero(nat) = X1 => aa(set(X0),set(X0),insert(X0,X2),bot_bot(set(X0))) = iG722(X0,X1,X2)) & ! [X3 : $tType,X4 : nat,X5 : X3] : (zero_zero(nat) = X4 => bot_bot(set(X3)) = iG722(X3,X4,X5))),
% 8.48/2.14    inference(rectify,[],[f16941])).
% 8.48/2.14  tff(f16941,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : nat,X2 : X0] : (~zero_zero(nat) = X1 => aa(set(X0),set(X0),insert(X0,X2),bot_bot(set(X0))) = iG722(X0,X1,X2)) & ! [X0 : $tType,X1 : nat,X2 : X0] : (zero_zero(nat) = X1 => bot_bot(set(X0)) = iG722(X0,X1,X2))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG722])])).
% 8.48/2.14  tff(f44342,plain,(
% 8.48/2.14    ( ! [X0 : $tType,X2 : X0,X1 : nat] : (aa(set(X0),set(X0),insert(X0,X2),bot_bot(set(X0))) = iG722(X0,X1,X2) | zero_zero(nat) = X1) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26043])).
% 8.48/2.14  tff(f44339,plain,(
% 8.48/2.14    ( ! [X3 : $tType,X4 : set(nat),X5 : X3] : (aa(list(X3),list(X3),cons(X3,X5),nil(X3)) = iG723(X3,X4,X5) | ~member(nat,zero_zero(nat),X4)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26042])).
% 8.48/2.14  tff(f26042,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : set(nat),X2 : X0] : (nil(X0) = iG723(X0,X1,X2) | member(nat,zero_zero(nat),X1)) & ! [X3 : $tType,X4 : set(nat),X5 : X3] : (aa(list(X3),list(X3),cons(X3,X5),nil(X3)) = iG723(X3,X4,X5) | ~member(nat,zero_zero(nat),X4))),
% 8.48/2.14    inference(ennf_transformation,[],[f20110])).
% 8.48/2.14  tff(f20110,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : set(nat),X2 : X0] : (~member(nat,zero_zero(nat),X1) => nil(X0) = iG723(X0,X1,X2)) & ! [X3 : $tType,X4 : set(nat),X5 : X3] : (member(nat,zero_zero(nat),X4) => aa(list(X3),list(X3),cons(X3,X5),nil(X3)) = iG723(X3,X4,X5))),
% 8.48/2.14    inference(flattening,[],[f20109])).
% 8.48/2.14  tff(f20109,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : set(nat),X2 : X0] : (~member(nat,zero_zero(nat),X1) => nil(X0) = iG723(X0,X1,X2)) & ! [X3 : $tType,X4 : set(nat),X5 : X3] : (member(nat,zero_zero(nat),X4) => aa(list(X3),list(X3),cons(X3,X5),nil(X3)) = iG723(X3,X4,X5))),
% 8.48/2.14    inference(rectify,[],[f16944])).
% 8.48/2.14  tff(f16944,plain,(
% 8.48/2.14    ! [X0 : $tType,X2 : set(nat),X1 : X0] : (~member(nat,zero_zero(nat),X2) => nil(X0) = iG723(X0,X2,X1)) & ! [X0 : $tType,X2 : set(nat),X1 : X0] : (member(nat,zero_zero(nat),X2) => aa(list(X0),list(X0),cons(X0,X1),nil(X0)) = iG723(X0,X2,X1))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG723])])).
% 8.48/2.14  tff(f44340,plain,(
% 8.48/2.14    ( ! [X0 : $tType,X2 : X0,X1 : set(nat)] : (nil(X0) = iG723(X0,X1,X2) | member(nat,zero_zero(nat),X1)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26042])).
% 8.48/2.14  tff(f44337,plain,(
% 8.48/2.14    ( ! [X2 : nat,X3 : nat] : (aa(set(nat),set(nat),insert(nat,zero_zero(nat)),bot_bot(set(nat))) = iG724(X2,X3) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26041])).
% 8.48/2.14  tff(f26041,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : (bot_bot(set(nat)) = iG724(X0,X1) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) & ! [X2 : nat,X3 : nat] : (aa(set(nat),set(nat),insert(nat,zero_zero(nat)),bot_bot(set(nat))) = iG724(X2,X3) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)))),
% 8.48/2.14    inference(ennf_transformation,[],[f20108])).
% 8.48/2.14  tff(f20108,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) => bot_bot(set(nat)) = iG724(X0,X1)) & ! [X2 : nat,X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)) => aa(set(nat),set(nat),insert(nat,zero_zero(nat)),bot_bot(set(nat))) = iG724(X2,X3))),
% 8.48/2.14    inference(flattening,[],[f20107])).
% 8.48/2.14  tff(f20107,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) => bot_bot(set(nat)) = iG724(X0,X1)) & ! [X2 : nat,X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)) => aa(set(nat),set(nat),insert(nat,zero_zero(nat)),bot_bot(set(nat))) = iG724(X2,X3))),
% 8.48/2.14    inference(rectify,[],[f16947])).
% 8.48/2.14  tff(f16947,plain,(
% 8.48/2.14    ! [X2 : nat,X1 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X2)) => bot_bot(set(nat)) = iG724(X2,X1)) & ! [X2 : nat,X1 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X2)) => aa(set(nat),set(nat),insert(nat,zero_zero(nat)),bot_bot(set(nat))) = iG724(X2,X1))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG724])])).
% 8.48/2.14  tff(f44338,plain,(
% 8.48/2.14    ( ! [X0 : nat,X1 : nat] : (bot_bot(set(nat)) = iG724(X0,X1) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26041])).
% 8.48/2.14  tff(f44335,plain,(
% 8.48/2.14    ( ! [X3 : nat,X4 : nat,X5 : nat] : (set_or7035219750837199246ssThan(nat,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X5),X4),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),X4)) = iG725(X3,X4,X5) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X4),X3))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26040])).
% 8.48/2.14  tff(f26040,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat] : (iG724(X0,X2) = iG725(X0,X1,X2) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) & ! [X3 : nat,X4 : nat,X5 : nat] : (set_or7035219750837199246ssThan(nat,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X5),X4),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),X4)) = iG725(X3,X4,X5) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X4),X3)))),
% 8.48/2.14    inference(ennf_transformation,[],[f20106])).
% 8.48/2.14  tff(f20106,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) => iG724(X0,X2) = iG725(X0,X1,X2)) & ! [X3 : nat,X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X4),X3)) => set_or7035219750837199246ssThan(nat,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X5),X4),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),X4)) = iG725(X3,X4,X5))),
% 8.48/2.14    inference(flattening,[],[f20105])).
% 8.48/2.14  tff(f20105,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) => iG724(X0,X2) = iG725(X0,X1,X2)) & ! [X3 : nat,X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X4),X3)) => set_or7035219750837199246ssThan(nat,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X5),X4),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),X4)) = iG725(X3,X4,X5))),
% 8.48/2.14    inference(rectify,[],[f16948])).
% 8.48/2.14  tff(f16948,plain,(
% 8.48/2.14    ! [X2 : nat,X0 : nat,X1 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X0),X2)) => iG724(X2,X1) = iG725(X2,X0,X1)) & ! [X2 : nat,X0 : nat,X1 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X0),X2)) => set_or7035219750837199246ssThan(nat,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),X0),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X2),X0)) = iG725(X2,X0,X1))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG725])])).
% 8.48/2.14  tff(f44336,plain,(
% 8.48/2.14    ( ! [X2 : nat,X0 : nat,X1 : nat] : (iG724(X0,X2) = iG725(X0,X1,X2) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26040])).
% 8.48/2.14  tff(f44334,plain,(
% 8.48/2.14    ( ! [X0 : $tType,X1 : list(X0)] : (pow2(X0,aa(list(X0),set(X0),set2(X0),X1)) = lG726(X0,X1)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f20104])).
% 8.48/2.14  tff(f20104,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : list(X0)] : pow2(X0,aa(list(X0),set(X0),set2(X0),X1)) = lG726(X0,X1)),
% 8.48/2.14    inference(rectify,[],[f16951])).
% 8.48/2.14  tff(f16951,plain,(
% 8.48/2.14    ! [X0 : $tType,X2 : list(X0)] : pow2(X0,aa(list(X0),set(X0),set2(X0),X2)) = lG726(X0,X2)),
% 8.48/2.14    introduced(fool_let_definition,[new_symbols(definition,[lG726])])).
% 8.48/2.14  tff(f61279,plain,(
% 8.48/2.14    ( ! [X3 : $tType,X5 : list(X3)] : (aa(list(X3),X3,hd(X3),X5) = iG727(X3,nil(X3),X5)) )),
% 8.48/2.14    inference(equality_resolution,[],[f44332])).
% 8.48/2.14  tff(f44332,plain,(
% 8.48/2.14    ( ! [X3 : $tType,X4 : list(X3),X5 : list(X3)] : (aa(list(X3),X3,hd(X3),X5) = iG727(X3,X4,X5) | nil(X3) != X4) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26039])).
% 8.48/2.14  tff(f26039,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : list(X0),X2 : list(X0)] : (aa(list(X0),X0,hd(X0),X1) = iG727(X0,X1,X2) | nil(X0) = X1) & ! [X3 : $tType,X4 : list(X3),X5 : list(X3)] : (aa(list(X3),X3,hd(X3),X5) = iG727(X3,X4,X5) | nil(X3) != X4)),
% 8.48/2.14    inference(ennf_transformation,[],[f20103])).
% 8.48/2.14  tff(f20103,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : list(X0),X2 : list(X0)] : (nil(X0) != X1 => aa(list(X0),X0,hd(X0),X1) = iG727(X0,X1,X2)) & ! [X3 : $tType,X4 : list(X3),X5 : list(X3)] : (nil(X3) = X4 => aa(list(X3),X3,hd(X3),X5) = iG727(X3,X4,X5))),
% 8.48/2.14    inference(flattening,[],[f20102])).
% 8.48/2.14  tff(f20102,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : list(X0),X2 : list(X0)] : (~nil(X0) = X1 => aa(list(X0),X0,hd(X0),X1) = iG727(X0,X1,X2)) & ! [X3 : $tType,X4 : list(X3),X5 : list(X3)] : (nil(X3) = X4 => aa(list(X3),X3,hd(X3),X5) = iG727(X3,X4,X5))),
% 8.48/2.14    inference(rectify,[],[f16954])).
% 8.48/2.14  tff(f16954,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : list(X0),X2 : list(X0)] : (~nil(X0) = X1 => aa(list(X0),X0,hd(X0),X1) = iG727(X0,X1,X2)) & ! [X0 : $tType,X1 : list(X0),X2 : list(X0)] : (nil(X0) = X1 => aa(list(X0),X0,hd(X0),X2) = iG727(X0,X1,X2))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG727])])).
% 8.48/2.14  tff(f44333,plain,(
% 8.48/2.14    ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (aa(list(X0),X0,hd(X0),X1) = iG727(X0,X1,X2) | nil(X0) = X1) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26039])).
% 8.48/2.14  tff(f61278,plain,(
% 8.48/2.14    ( ! [X4 : code_integer,X5 : code_integer] : (aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),aa(code_integer,code_integer,uminus_uminus(code_integer),X5)),zero_zero(code_integer)) = iG728(zero_zero(code_integer),X4,X5)) )),
% 8.48/2.14    inference(equality_resolution,[],[f44330])).
% 8.48/2.14  tff(f44330,plain,(
% 8.48/2.14    ( ! [X3 : code_integer,X4 : code_integer,X5 : code_integer] : (aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),aa(code_integer,code_integer,uminus_uminus(code_integer),X5)),zero_zero(code_integer)) = iG728(X3,X4,X5) | zero_zero(code_integer) != X3) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26038])).
% 8.48/2.14  tff(f26038,plain,(
% 8.48/2.14    ! [X0 : code_integer,X1 : code_integer,X2 : code_integer] : (aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),minus_minus(code_integer),aa(code_integer,code_integer,uminus_uminus(code_integer),X2)),one_one(code_integer))),aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),minus_minus(code_integer),X1),X0)) = iG728(X0,X1,X2) | zero_zero(code_integer) = X0) & ! [X3 : code_integer,X4 : code_integer,X5 : code_integer] : (aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),aa(code_integer,code_integer,uminus_uminus(code_integer),X5)),zero_zero(code_integer)) = iG728(X3,X4,X5) | zero_zero(code_integer) != X3)),
% 8.48/2.14    inference(ennf_transformation,[],[f20101])).
% 8.48/2.14  tff(f20101,plain,(
% 8.48/2.14    ! [X0 : code_integer,X1 : code_integer,X2 : code_integer] : (zero_zero(code_integer) != X0 => aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),minus_minus(code_integer),aa(code_integer,code_integer,uminus_uminus(code_integer),X2)),one_one(code_integer))),aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),minus_minus(code_integer),X1),X0)) = iG728(X0,X1,X2)) & ! [X3 : code_integer,X4 : code_integer,X5 : code_integer] : (zero_zero(code_integer) = X3 => aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),aa(code_integer,code_integer,uminus_uminus(code_integer),X5)),zero_zero(code_integer)) = iG728(X3,X4,X5))),
% 8.48/2.14    inference(flattening,[],[f20100])).
% 8.48/2.14  tff(f20100,plain,(
% 8.48/2.14    ! [X0 : code_integer,X1 : code_integer,X2 : code_integer] : (~zero_zero(code_integer) = X0 => aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),minus_minus(code_integer),aa(code_integer,code_integer,uminus_uminus(code_integer),X2)),one_one(code_integer))),aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),minus_minus(code_integer),X1),X0)) = iG728(X0,X1,X2)) & ! [X3 : code_integer,X4 : code_integer,X5 : code_integer] : (zero_zero(code_integer) = X3 => aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),aa(code_integer,code_integer,uminus_uminus(code_integer),X5)),zero_zero(code_integer)) = iG728(X3,X4,X5))),
% 8.48/2.14    inference(rectify,[],[f16957])).
% 8.48/2.14  tff(f16957,plain,(
% 8.48/2.14    ! [X2 : code_integer,X0 : code_integer,X1 : code_integer] : (~zero_zero(code_integer) = X2 => aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),minus_minus(code_integer),aa(code_integer,code_integer,uminus_uminus(code_integer),X1)),one_one(code_integer))),aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),minus_minus(code_integer),X0),X2)) = iG728(X2,X0,X1)) & ! [X2 : code_integer,X0 : code_integer,X1 : code_integer] : (zero_zero(code_integer) = X2 => aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),aa(code_integer,code_integer,uminus_uminus(code_integer),X1)),zero_zero(code_integer)) = iG728(X2,X0,X1))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG728])])).
% 8.48/2.14  tff(f44331,plain,(
% 8.48/2.14    ( ! [X2 : code_integer,X0 : code_integer,X1 : code_integer] : (aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),minus_minus(code_integer),aa(code_integer,code_integer,uminus_uminus(code_integer),X2)),one_one(code_integer))),aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),minus_minus(code_integer),X1),X0)) = iG728(X0,X1,X2) | zero_zero(code_integer) = X0) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26038])).
% 8.48/2.14  tff(f61277,plain,(
% 8.48/2.14    ( ! [X4 : code_integer,X5 : code_integer] : (aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),aa(code_integer,code_integer,uminus_uminus(code_integer),X5)),zero_zero(code_integer)) = iG729(zero_zero(code_integer),X4,X5)) )),
% 8.48/2.14    inference(equality_resolution,[],[f44328])).
% 8.48/2.14  tff(f44328,plain,(
% 8.48/2.14    ( ! [X3 : code_integer,X4 : code_integer,X5 : code_integer] : (aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),aa(code_integer,code_integer,uminus_uminus(code_integer),X5)),zero_zero(code_integer)) = iG729(X3,X4,X5) | zero_zero(code_integer) != X3) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26037])).
% 8.48/2.14  tff(f26037,plain,(
% 8.48/2.14    ! [X0 : code_integer,X1 : code_integer,X2 : code_integer] : (aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),minus_minus(code_integer),aa(code_integer,code_integer,uminus_uminus(code_integer),X2)),one_one(code_integer))),aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),minus_minus(code_integer),aa(code_integer,code_integer,abs_abs(code_integer),X1)),X0)) = iG729(X0,X1,X2) | zero_zero(code_integer) = X0) & ! [X3 : code_integer,X4 : code_integer,X5 : code_integer] : (aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),aa(code_integer,code_integer,uminus_uminus(code_integer),X5)),zero_zero(code_integer)) = iG729(X3,X4,X5) | zero_zero(code_integer) != X3)),
% 8.48/2.14    inference(ennf_transformation,[],[f20099])).
% 8.48/2.14  tff(f20099,plain,(
% 8.48/2.14    ! [X0 : code_integer,X1 : code_integer,X2 : code_integer] : (zero_zero(code_integer) != X0 => aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),minus_minus(code_integer),aa(code_integer,code_integer,uminus_uminus(code_integer),X2)),one_one(code_integer))),aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),minus_minus(code_integer),aa(code_integer,code_integer,abs_abs(code_integer),X1)),X0)) = iG729(X0,X1,X2)) & ! [X3 : code_integer,X4 : code_integer,X5 : code_integer] : (zero_zero(code_integer) = X3 => aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),aa(code_integer,code_integer,uminus_uminus(code_integer),X5)),zero_zero(code_integer)) = iG729(X3,X4,X5))),
% 8.48/2.14    inference(flattening,[],[f20098])).
% 8.48/2.14  tff(f20098,plain,(
% 8.48/2.14    ! [X0 : code_integer,X1 : code_integer,X2 : code_integer] : (~zero_zero(code_integer) = X0 => aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),minus_minus(code_integer),aa(code_integer,code_integer,uminus_uminus(code_integer),X2)),one_one(code_integer))),aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),minus_minus(code_integer),aa(code_integer,code_integer,abs_abs(code_integer),X1)),X0)) = iG729(X0,X1,X2)) & ! [X3 : code_integer,X4 : code_integer,X5 : code_integer] : (zero_zero(code_integer) = X3 => aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),aa(code_integer,code_integer,uminus_uminus(code_integer),X5)),zero_zero(code_integer)) = iG729(X3,X4,X5))),
% 8.48/2.14    inference(rectify,[],[f16960])).
% 8.48/2.14  tff(f16960,plain,(
% 8.48/2.14    ! [X2 : code_integer,X0 : code_integer,X1 : code_integer] : (~zero_zero(code_integer) = X2 => aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),minus_minus(code_integer),aa(code_integer,code_integer,uminus_uminus(code_integer),X1)),one_one(code_integer))),aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),minus_minus(code_integer),aa(code_integer,code_integer,abs_abs(code_integer),X0)),X2)) = iG729(X2,X0,X1)) & ! [X2 : code_integer,X0 : code_integer,X1 : code_integer] : (zero_zero(code_integer) = X2 => aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),aa(code_integer,code_integer,uminus_uminus(code_integer),X1)),zero_zero(code_integer)) = iG729(X2,X0,X1))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG729])])).
% 8.48/2.14  tff(f44329,plain,(
% 8.48/2.14    ( ! [X2 : code_integer,X0 : code_integer,X1 : code_integer] : (aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),minus_minus(code_integer),aa(code_integer,code_integer,uminus_uminus(code_integer),X2)),one_one(code_integer))),aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),minus_minus(code_integer),aa(code_integer,code_integer,abs_abs(code_integer),X1)),X0)) = iG729(X0,X1,X2) | zero_zero(code_integer) = X0) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26037])).
% 8.48/2.14  tff(f61276,plain,(
% 8.48/2.14    ( ! [X4 : code_integer,X5 : code_integer] : (aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),aa(code_integer,code_integer,uminus_uminus(code_integer),X5)),zero_zero(code_integer)) = iG730(zero_zero(code_integer),X4,X5)) )),
% 8.48/2.14    inference(equality_resolution,[],[f44326])).
% 8.48/2.14  tff(f44326,plain,(
% 8.48/2.14    ( ! [X3 : code_integer,X4 : code_integer,X5 : code_integer] : (aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),aa(code_integer,code_integer,uminus_uminus(code_integer),X5)),zero_zero(code_integer)) = iG730(X3,X4,X5) | zero_zero(code_integer) != X3) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26036])).
% 8.48/2.14  tff(f26036,plain,(
% 8.48/2.14    ! [X0 : code_integer,X1 : code_integer,X2 : code_integer] : (aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),minus_minus(code_integer),aa(code_integer,code_integer,uminus_uminus(code_integer),X2)),one_one(code_integer))),aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),minus_minus(code_integer),aa(code_integer,code_integer,uminus_uminus(code_integer),X1)),X0)) = iG730(X0,X1,X2) | zero_zero(code_integer) = X0) & ! [X3 : code_integer,X4 : code_integer,X5 : code_integer] : (aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),aa(code_integer,code_integer,uminus_uminus(code_integer),X5)),zero_zero(code_integer)) = iG730(X3,X4,X5) | zero_zero(code_integer) != X3)),
% 8.48/2.14    inference(ennf_transformation,[],[f20097])).
% 8.48/2.14  tff(f20097,plain,(
% 8.48/2.14    ! [X0 : code_integer,X1 : code_integer,X2 : code_integer] : (zero_zero(code_integer) != X0 => aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),minus_minus(code_integer),aa(code_integer,code_integer,uminus_uminus(code_integer),X2)),one_one(code_integer))),aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),minus_minus(code_integer),aa(code_integer,code_integer,uminus_uminus(code_integer),X1)),X0)) = iG730(X0,X1,X2)) & ! [X3 : code_integer,X4 : code_integer,X5 : code_integer] : (zero_zero(code_integer) = X3 => aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),aa(code_integer,code_integer,uminus_uminus(code_integer),X5)),zero_zero(code_integer)) = iG730(X3,X4,X5))),
% 8.48/2.14    inference(flattening,[],[f20096])).
% 8.48/2.14  tff(f20096,plain,(
% 8.48/2.14    ! [X0 : code_integer,X1 : code_integer,X2 : code_integer] : (~zero_zero(code_integer) = X0 => aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),minus_minus(code_integer),aa(code_integer,code_integer,uminus_uminus(code_integer),X2)),one_one(code_integer))),aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),minus_minus(code_integer),aa(code_integer,code_integer,uminus_uminus(code_integer),X1)),X0)) = iG730(X0,X1,X2)) & ! [X3 : code_integer,X4 : code_integer,X5 : code_integer] : (zero_zero(code_integer) = X3 => aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),aa(code_integer,code_integer,uminus_uminus(code_integer),X5)),zero_zero(code_integer)) = iG730(X3,X4,X5))),
% 8.48/2.14    inference(rectify,[],[f16963])).
% 8.48/2.14  tff(f16963,plain,(
% 8.48/2.14    ! [X2 : code_integer,X0 : code_integer,X1 : code_integer] : (~zero_zero(code_integer) = X2 => aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),minus_minus(code_integer),aa(code_integer,code_integer,uminus_uminus(code_integer),X1)),one_one(code_integer))),aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),minus_minus(code_integer),aa(code_integer,code_integer,uminus_uminus(code_integer),X0)),X2)) = iG730(X2,X0,X1)) & ! [X2 : code_integer,X0 : code_integer,X1 : code_integer] : (zero_zero(code_integer) = X2 => aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),aa(code_integer,code_integer,uminus_uminus(code_integer),X1)),zero_zero(code_integer)) = iG730(X2,X0,X1))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG730])])).
% 8.48/2.14  tff(f44327,plain,(
% 8.48/2.14    ( ! [X2 : code_integer,X0 : code_integer,X1 : code_integer] : (aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),minus_minus(code_integer),aa(code_integer,code_integer,uminus_uminus(code_integer),X2)),one_one(code_integer))),aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),minus_minus(code_integer),aa(code_integer,code_integer,uminus_uminus(code_integer),X1)),X0)) = iG730(X0,X1,X2) | zero_zero(code_integer) = X0) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26036])).
% 8.48/2.14  tff(f44324,plain,(
% 8.48/2.14    ( ! [X3 : code_integer,X4 : num,X5 : code_integer] : (aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),plus_plus(code_integer),aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),times_times(code_integer),aa(num,code_integer,numeral_numeral(code_integer),aa(num,num,bit0,one2))),X5)),one_one(code_integer))),aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),minus_minus(code_integer),X3),aa(num,code_integer,numeral_numeral(code_integer),X4))) = iG731(X3,X4,X5) | ($true != aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less_eq(code_integer),aa(num,code_integer,numeral_numeral(code_integer),X4)),X3))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26035])).
% 8.48/2.14  tff(f26035,plain,(
% 8.48/2.14    ! [X0 : code_integer,X1 : num,X2 : code_integer] : (aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),times_times(code_integer),aa(num,code_integer,numeral_numeral(code_integer),aa(num,num,bit0,one2))),X2)),X0) = iG731(X0,X1,X2) | ($true = aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less_eq(code_integer),aa(num,code_integer,numeral_numeral(code_integer),X1)),X0))) & ! [X3 : code_integer,X4 : num,X5 : code_integer] : (aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),plus_plus(code_integer),aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),times_times(code_integer),aa(num,code_integer,numeral_numeral(code_integer),aa(num,num,bit0,one2))),X5)),one_one(code_integer))),aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),minus_minus(code_integer),X3),aa(num,code_integer,numeral_numeral(code_integer),X4))) = iG731(X3,X4,X5) | ($true != aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less_eq(code_integer),aa(num,code_integer,numeral_numeral(code_integer),X4)),X3)))),
% 8.48/2.14    inference(ennf_transformation,[],[f20095])).
% 8.48/2.14  tff(f20095,plain,(
% 8.48/2.14    ! [X0 : code_integer,X1 : num,X2 : code_integer] : (($true != aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less_eq(code_integer),aa(num,code_integer,numeral_numeral(code_integer),X1)),X0)) => aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),times_times(code_integer),aa(num,code_integer,numeral_numeral(code_integer),aa(num,num,bit0,one2))),X2)),X0) = iG731(X0,X1,X2)) & ! [X3 : code_integer,X4 : num,X5 : code_integer] : (($true = aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less_eq(code_integer),aa(num,code_integer,numeral_numeral(code_integer),X4)),X3)) => aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),plus_plus(code_integer),aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),times_times(code_integer),aa(num,code_integer,numeral_numeral(code_integer),aa(num,num,bit0,one2))),X5)),one_one(code_integer))),aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),minus_minus(code_integer),X3),aa(num,code_integer,numeral_numeral(code_integer),X4))) = iG731(X3,X4,X5))),
% 8.48/2.14    inference(flattening,[],[f20094])).
% 8.48/2.14  tff(f20094,plain,(
% 8.48/2.14    ! [X0 : code_integer,X1 : num,X2 : code_integer] : (~($true = aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less_eq(code_integer),aa(num,code_integer,numeral_numeral(code_integer),X1)),X0)) => aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),times_times(code_integer),aa(num,code_integer,numeral_numeral(code_integer),aa(num,num,bit0,one2))),X2)),X0) = iG731(X0,X1,X2)) & ! [X3 : code_integer,X4 : num,X5 : code_integer] : (($true = aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less_eq(code_integer),aa(num,code_integer,numeral_numeral(code_integer),X4)),X3)) => aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),plus_plus(code_integer),aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),times_times(code_integer),aa(num,code_integer,numeral_numeral(code_integer),aa(num,num,bit0,one2))),X5)),one_one(code_integer))),aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),minus_minus(code_integer),X3),aa(num,code_integer,numeral_numeral(code_integer),X4))) = iG731(X3,X4,X5))),
% 8.48/2.14    inference(rectify,[],[f16966])).
% 8.48/2.14  tff(f16966,plain,(
% 8.48/2.14    ! [X2 : code_integer,X0 : num,X1 : code_integer] : (~($true = aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less_eq(code_integer),aa(num,code_integer,numeral_numeral(code_integer),X0)),X2)) => aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),times_times(code_integer),aa(num,code_integer,numeral_numeral(code_integer),aa(num,num,bit0,one2))),X1)),X2) = iG731(X2,X0,X1)) & ! [X2 : code_integer,X0 : num,X1 : code_integer] : (($true = aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less_eq(code_integer),aa(num,code_integer,numeral_numeral(code_integer),X0)),X2)) => aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),plus_plus(code_integer),aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),times_times(code_integer),aa(num,code_integer,numeral_numeral(code_integer),aa(num,num,bit0,one2))),X1)),one_one(code_integer))),aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),minus_minus(code_integer),X2),aa(num,code_integer,numeral_numeral(code_integer),X0))) = iG731(X2,X0,X1))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG731])])).
% 8.48/2.14  tff(f44325,plain,(
% 8.48/2.14    ( ! [X2 : code_integer,X0 : code_integer,X1 : num] : (aa(code_integer,product_prod(code_integer,code_integer),aa(code_integer,fun(code_integer,product_prod(code_integer,code_integer)),product_Pair(code_integer,code_integer),aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),times_times(code_integer),aa(num,code_integer,numeral_numeral(code_integer),aa(num,num,bit0,one2))),X2)),X0) = iG731(X0,X1,X2) | ($true = aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less_eq(code_integer),aa(num,code_integer,numeral_numeral(code_integer),X1)),X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26035])).
% 8.48/2.14  tff(f44322,plain,(
% 8.48/2.14    ( ! [X3 : code_integer,X4 : code_integer,X5 : code_integer] : (iG732(X3,X4,X5) = X5 | ($true != aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),zero_zero(code_integer)),X3))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26034])).
% 8.48/2.14  tff(f26034,plain,(
% 8.48/2.14    ! [X0 : code_integer,X1 : code_integer,X2 : code_integer] : (aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),minus_minus(code_integer),aa(code_integer,code_integer,uminus_uminus(code_integer),X2)),X1) = iG732(X0,X1,X2) | ($true = aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),zero_zero(code_integer)),X0))) & ! [X3 : code_integer,X4 : code_integer,X5 : code_integer] : (iG732(X3,X4,X5) = X5 | ($true != aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),zero_zero(code_integer)),X3)))),
% 8.48/2.14    inference(ennf_transformation,[],[f20093])).
% 8.48/2.14  tff(f20093,plain,(
% 8.48/2.14    ! [X0 : code_integer,X1 : code_integer,X2 : code_integer] : (($true != aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),zero_zero(code_integer)),X0)) => aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),minus_minus(code_integer),aa(code_integer,code_integer,uminus_uminus(code_integer),X2)),X1) = iG732(X0,X1,X2)) & ! [X3 : code_integer,X4 : code_integer,X5 : code_integer] : (($true = aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),zero_zero(code_integer)),X3)) => iG732(X3,X4,X5) = X5)),
% 8.48/2.14    inference(flattening,[],[f20092])).
% 8.48/2.14  tff(f20092,plain,(
% 8.48/2.14    ! [X0 : code_integer,X1 : code_integer,X2 : code_integer] : (~($true = aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),zero_zero(code_integer)),X0)) => aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),minus_minus(code_integer),aa(code_integer,code_integer,uminus_uminus(code_integer),X2)),X1) = iG732(X0,X1,X2)) & ! [X3 : code_integer,X4 : code_integer,X5 : code_integer] : (($true = aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),zero_zero(code_integer)),X3)) => iG732(X3,X4,X5) = X5)),
% 8.48/2.14    inference(rectify,[],[f16969])).
% 8.48/2.14  tff(f16969,plain,(
% 8.48/2.14    ! [X0 : code_integer,X2 : code_integer,X1 : code_integer] : (~($true = aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),zero_zero(code_integer)),X0)) => aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),minus_minus(code_integer),aa(code_integer,code_integer,uminus_uminus(code_integer),X1)),X2) = iG732(X0,X2,X1)) & ! [X0 : code_integer,X2 : code_integer,X1 : code_integer] : (($true = aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),zero_zero(code_integer)),X0)) => iG732(X0,X2,X1) = X1)),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG732])])).
% 8.48/2.14  tff(f44323,plain,(
% 8.48/2.14    ( ! [X2 : code_integer,X0 : code_integer,X1 : code_integer] : (aa(code_integer,code_integer,aa(code_integer,fun(code_integer,code_integer),minus_minus(code_integer),aa(code_integer,code_integer,uminus_uminus(code_integer),X2)),X1) = iG732(X0,X1,X2) | ($true = aa(code_integer,$o,aa(code_integer,fun(code_integer,$o),ord_less(code_integer),zero_zero(code_integer)),X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26034])).
% 8.48/2.14  tff(f61275,plain,(
% 8.48/2.14    ($true = bG733(one_one(code_integer)))),
% 8.48/2.14    inference(equality_resolution,[],[f44320])).
% 8.48/2.14  tff(f44320,plain,(
% 8.48/2.14    ( ! [X0 : code_integer] : (($true = bG733(X0)) | one_one(code_integer) != X0) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36177])).
% 8.48/2.14  tff(f36177,plain,(
% 8.48/2.14    ! [X0 : code_integer] : ((one_one(code_integer) = X0 | ($true != bG733(X0))) & (($true = bG733(X0)) | one_one(code_integer) != X0))),
% 8.48/2.14    inference(nnf_transformation,[],[f20091])).
% 8.48/2.14  tff(f20091,plain,(
% 8.48/2.14    ! [X0 : code_integer] : (one_one(code_integer) = X0 <=> ($true = bG733(X0)))),
% 8.48/2.14    inference(rectify,[],[f16970])).
% 8.48/2.14  tff(f16970,plain,(
% 8.48/2.14    ! [X2 : code_integer] : (one_one(code_integer) = X2 <=> ($true = bG733(X2)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG733])])).
% 8.48/2.14  tff(f44321,plain,(
% 8.48/2.14    ( ! [X0 : code_integer] : (one_one(code_integer) = X0 | ($true != bG733(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36177])).
% 8.48/2.14  tff(f44318,plain,(
% 8.48/2.14    ( ! [X3 : int,X4 : num,X5 : int] : (aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))),X5)),one_one(int))),aa(int,int,aa(int,fun(int,int),minus_minus(int),X3),aa(num,int,numeral_numeral(int),X4))) = iG734(X3,X4,X5) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),aa(num,int,numeral_numeral(int),X4)),X3))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26033])).
% 8.48/2.14  tff(f26033,plain,(
% 8.48/2.14    ! [X0 : int,X1 : num,X2 : int] : (aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),aa(int,int,aa(int,fun(int,int),times_times(int),aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))),X2)),X0) = iG734(X0,X1,X2) | ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),aa(num,int,numeral_numeral(int),X1)),X0))) & ! [X3 : int,X4 : num,X5 : int] : (aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))),X5)),one_one(int))),aa(int,int,aa(int,fun(int,int),minus_minus(int),X3),aa(num,int,numeral_numeral(int),X4))) = iG734(X3,X4,X5) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),aa(num,int,numeral_numeral(int),X4)),X3)))),
% 8.48/2.14    inference(ennf_transformation,[],[f20090])).
% 8.48/2.14  tff(f20090,plain,(
% 8.48/2.14    ! [X0 : int,X1 : num,X2 : int] : (($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),aa(num,int,numeral_numeral(int),X1)),X0)) => aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),aa(int,int,aa(int,fun(int,int),times_times(int),aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))),X2)),X0) = iG734(X0,X1,X2)) & ! [X3 : int,X4 : num,X5 : int] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),aa(num,int,numeral_numeral(int),X4)),X3)) => aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))),X5)),one_one(int))),aa(int,int,aa(int,fun(int,int),minus_minus(int),X3),aa(num,int,numeral_numeral(int),X4))) = iG734(X3,X4,X5))),
% 8.48/2.14    inference(flattening,[],[f20089])).
% 8.48/2.14  tff(f20089,plain,(
% 8.48/2.14    ! [X0 : int,X1 : num,X2 : int] : (~($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),aa(num,int,numeral_numeral(int),X1)),X0)) => aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),aa(int,int,aa(int,fun(int,int),times_times(int),aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))),X2)),X0) = iG734(X0,X1,X2)) & ! [X3 : int,X4 : num,X5 : int] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),aa(num,int,numeral_numeral(int),X4)),X3)) => aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))),X5)),one_one(int))),aa(int,int,aa(int,fun(int,int),minus_minus(int),X3),aa(num,int,numeral_numeral(int),X4))) = iG734(X3,X4,X5))),
% 8.48/2.14    inference(rectify,[],[f16973])).
% 8.48/2.14  tff(f16973,plain,(
% 8.48/2.14    ! [X2 : int,X0 : num,X1 : int] : (~($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),aa(num,int,numeral_numeral(int),X0)),X2)) => aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),aa(int,int,aa(int,fun(int,int),times_times(int),aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))),X1)),X2) = iG734(X2,X0,X1)) & ! [X2 : int,X0 : num,X1 : int] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),aa(num,int,numeral_numeral(int),X0)),X2)) => aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))),X1)),one_one(int))),aa(int,int,aa(int,fun(int,int),minus_minus(int),X2),aa(num,int,numeral_numeral(int),X0))) = iG734(X2,X0,X1))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG734])])).
% 8.48/2.14  tff(f44319,plain,(
% 8.48/2.14    ( ! [X2 : int,X0 : int,X1 : num] : (aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),aa(int,int,aa(int,fun(int,int),times_times(int),aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))),X2)),X0) = iG734(X0,X1,X2) | ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),aa(num,int,numeral_numeral(int),X1)),X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26033])).
% 8.48/2.14  tff(f44316,plain,(
% 8.48/2.14    ( ! [X3 : nat,X4 : fun(nat,real),X5 : fun(nat,real)] : (aa(nat,real,X5,X3) = iG735(X3,X4,X5) | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X3)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26032])).
% 8.48/2.14  tff(f26032,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : fun(nat,real),X2 : fun(nat,real)] : (aa(nat,real,X1,X0) = iG735(X0,X1,X2) | dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0)) & ! [X3 : nat,X4 : fun(nat,real),X5 : fun(nat,real)] : (aa(nat,real,X5,X3) = iG735(X3,X4,X5) | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X3))),
% 8.48/2.14    inference(ennf_transformation,[],[f20088])).
% 8.48/2.14  tff(f20088,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : fun(nat,real),X2 : fun(nat,real)] : (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) => aa(nat,real,X1,X0) = iG735(X0,X1,X2)) & ! [X3 : nat,X4 : fun(nat,real),X5 : fun(nat,real)] : (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X3) => aa(nat,real,X5,X3) = iG735(X3,X4,X5))),
% 8.48/2.14    inference(flattening,[],[f20087])).
% 8.48/2.14  tff(f20087,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : fun(nat,real),X2 : fun(nat,real)] : (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) => aa(nat,real,X1,X0) = iG735(X0,X1,X2)) & ! [X3 : nat,X4 : fun(nat,real),X5 : fun(nat,real)] : (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X3) => aa(nat,real,X5,X3) = iG735(X3,X4,X5))),
% 8.48/2.14    inference(rectify,[],[f16976])).
% 8.48/2.14  tff(f16976,plain,(
% 8.48/2.14    ! [X2 : nat,X1 : fun(nat,real),X0 : fun(nat,real)] : (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2) => aa(nat,real,X1,X2) = iG735(X2,X1,X0)) & ! [X2 : nat,X1 : fun(nat,real),X0 : fun(nat,real)] : (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2) => aa(nat,real,X0,X2) = iG735(X2,X1,X0))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG735])])).
% 8.48/2.14  tff(f44317,plain,(
% 8.48/2.14    ( ! [X2 : fun(nat,real),X0 : nat,X1 : fun(nat,real)] : (aa(nat,real,X1,X0) = iG735(X0,X1,X2) | dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26032])).
% 8.48/2.14  tff(f44314,plain,(
% 8.48/2.14    ( ! [X3 : nat,X4 : fun(nat,real),X5 : fun(nat,real)] : (aa(nat,real,X5,divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = iG736(X3,X4,X5) | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X3)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26031])).
% 8.48/2.14  tff(f26031,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : fun(nat,real),X2 : fun(nat,real)] : (aa(nat,real,X1,divide_divide(nat,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),one_one(nat)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = iG736(X0,X1,X2) | dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0)) & ! [X3 : nat,X4 : fun(nat,real),X5 : fun(nat,real)] : (aa(nat,real,X5,divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = iG736(X3,X4,X5) | ~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X3))),
% 8.48/2.14    inference(ennf_transformation,[],[f20086])).
% 8.48/2.14  tff(f20086,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : fun(nat,real),X2 : fun(nat,real)] : (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) => aa(nat,real,X1,divide_divide(nat,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),one_one(nat)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = iG736(X0,X1,X2)) & ! [X3 : nat,X4 : fun(nat,real),X5 : fun(nat,real)] : (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X3) => aa(nat,real,X5,divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = iG736(X3,X4,X5))),
% 8.48/2.14    inference(flattening,[],[f20085])).
% 8.48/2.14  tff(f20085,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : fun(nat,real),X2 : fun(nat,real)] : (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0) => aa(nat,real,X1,divide_divide(nat,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),one_one(nat)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = iG736(X0,X1,X2)) & ! [X3 : nat,X4 : fun(nat,real),X5 : fun(nat,real)] : (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X3) => aa(nat,real,X5,divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = iG736(X3,X4,X5))),
% 8.48/2.14    inference(rectify,[],[f16979])).
% 8.48/2.14  tff(f16979,plain,(
% 8.48/2.14    ! [X2 : nat,X0 : fun(nat,real),X1 : fun(nat,real)] : (~dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2) => aa(nat,real,X0,divide_divide(nat,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X2),one_one(nat)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = iG736(X2,X0,X1)) & ! [X2 : nat,X0 : fun(nat,real),X1 : fun(nat,real)] : (dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2) => aa(nat,real,X1,divide_divide(nat,X2,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = iG736(X2,X0,X1))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG736])])).
% 8.48/2.14  tff(f44315,plain,(
% 8.48/2.14    ( ! [X2 : fun(nat,real),X0 : nat,X1 : fun(nat,real)] : (aa(nat,real,X1,divide_divide(nat,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),one_one(nat)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = iG736(X0,X1,X2) | dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26031])).
% 8.48/2.14  tff(f44312,plain,(
% 8.48/2.14    ( ! [X3 : nat,X4 : num,X5 : nat] : (aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X5)),one_one(nat))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),aa(num,nat,numeral_numeral(nat),X4))) = iG737(X3,X4,X5) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),aa(num,nat,numeral_numeral(nat),X4)),X3))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26030])).
% 8.48/2.14  tff(f26030,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : num,X2 : nat] : (aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X2)),X0) = iG737(X0,X1,X2) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),aa(num,nat,numeral_numeral(nat),X1)),X0))) & ! [X3 : nat,X4 : num,X5 : nat] : (aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X5)),one_one(nat))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),aa(num,nat,numeral_numeral(nat),X4))) = iG737(X3,X4,X5) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),aa(num,nat,numeral_numeral(nat),X4)),X3)))),
% 8.48/2.14    inference(ennf_transformation,[],[f20084])).
% 8.48/2.14  tff(f20084,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : num,X2 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),aa(num,nat,numeral_numeral(nat),X1)),X0)) => aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X2)),X0) = iG737(X0,X1,X2)) & ! [X3 : nat,X4 : num,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),aa(num,nat,numeral_numeral(nat),X4)),X3)) => aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X5)),one_one(nat))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),aa(num,nat,numeral_numeral(nat),X4))) = iG737(X3,X4,X5))),
% 8.48/2.14    inference(flattening,[],[f20083])).
% 8.48/2.14  tff(f20083,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : num,X2 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),aa(num,nat,numeral_numeral(nat),X1)),X0)) => aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X2)),X0) = iG737(X0,X1,X2)) & ! [X3 : nat,X4 : num,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),aa(num,nat,numeral_numeral(nat),X4)),X3)) => aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X5)),one_one(nat))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),aa(num,nat,numeral_numeral(nat),X4))) = iG737(X3,X4,X5))),
% 8.48/2.14    inference(rectify,[],[f16982])).
% 8.48/2.14  tff(f16982,plain,(
% 8.48/2.14    ! [X2 : nat,X0 : num,X1 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),aa(num,nat,numeral_numeral(nat),X0)),X2)) => aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X1)),X2) = iG737(X2,X0,X1)) & ! [X2 : nat,X0 : num,X1 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),aa(num,nat,numeral_numeral(nat),X0)),X2)) => aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X1)),one_one(nat))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X2),aa(num,nat,numeral_numeral(nat),X0))) = iG737(X2,X0,X1))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG737])])).
% 8.48/2.14  tff(f44313,plain,(
% 8.48/2.14    ( ! [X2 : nat,X0 : nat,X1 : num] : (aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X2)),X0) = iG737(X0,X1,X2) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),aa(num,nat,numeral_numeral(nat),X1)),X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26030])).
% 8.48/2.14  tff(f61274,plain,(
% 8.48/2.14    ( ! [X4 : nat,X5 : nat] : (zero_zero(nat) = iG738(zero_zero(nat),X4,X5)) )),
% 8.48/2.14    inference(equality_resolution,[],[f44310])).
% 8.48/2.14  tff(f44310,plain,(
% 8.48/2.14    ( ! [X3 : nat,X4 : nat,X5 : nat] : (zero_zero(nat) = iG738(X3,X4,X5) | zero_zero(nat) != X3) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26029])).
% 8.48/2.14  tff(f26029,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat] : (divide_divide(nat,X2,X1) = iG738(X0,X1,X2) | zero_zero(nat) = X0) & ! [X3 : nat,X4 : nat,X5 : nat] : (zero_zero(nat) = iG738(X3,X4,X5) | zero_zero(nat) != X3)),
% 8.48/2.14    inference(ennf_transformation,[],[f20082])).
% 8.48/2.14  tff(f20082,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat] : (zero_zero(nat) != X0 => divide_divide(nat,X2,X1) = iG738(X0,X1,X2)) & ! [X3 : nat,X4 : nat,X5 : nat] : (zero_zero(nat) = X3 => zero_zero(nat) = iG738(X3,X4,X5))),
% 8.48/2.14    inference(flattening,[],[f20081])).
% 8.48/2.14  tff(f20081,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : nat,X2 : nat] : (~zero_zero(nat) = X0 => divide_divide(nat,X2,X1) = iG738(X0,X1,X2)) & ! [X3 : nat,X4 : nat,X5 : nat] : (zero_zero(nat) = X3 => zero_zero(nat) = iG738(X3,X4,X5))),
% 8.48/2.14    inference(rectify,[],[f16985])).
% 8.48/2.14  tff(f16985,plain,(
% 8.48/2.14    ! [X0 : nat,X2 : nat,X1 : nat] : (~zero_zero(nat) = X0 => divide_divide(nat,X1,X2) = iG738(X0,X2,X1)) & ! [X0 : nat,X2 : nat,X1 : nat] : (zero_zero(nat) = X0 => zero_zero(nat) = iG738(X0,X2,X1))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG738])])).
% 8.48/2.14  tff(f44311,plain,(
% 8.48/2.14    ( ! [X2 : nat,X0 : nat,X1 : nat] : (divide_divide(nat,X2,X1) = iG738(X0,X1,X2) | zero_zero(nat) = X0) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26029])).
% 8.48/2.14  tff(f44308,plain,(
% 8.48/2.14    ( ! [X3 : $tType,X4 : X3,X5 : fun(X3,$o)] : (aa(set(X3),set(X3),insert(X3,X4),bot_bot(set(X3))) = iG739(X3,X4,X5) | ($true != aa(X3,$o,X5,X4))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26028])).
% 8.48/2.14  tff(f26028,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : X0,X2 : fun(X0,$o)] : (bot_bot(set(X0)) = iG739(X0,X1,X2) | ($true = aa(X0,$o,X2,X1))) & ! [X3 : $tType,X4 : X3,X5 : fun(X3,$o)] : (aa(set(X3),set(X3),insert(X3,X4),bot_bot(set(X3))) = iG739(X3,X4,X5) | ($true != aa(X3,$o,X5,X4)))),
% 8.48/2.14    inference(ennf_transformation,[],[f20080])).
% 8.48/2.14  tff(f20080,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : X0,X2 : fun(X0,$o)] : (($true != aa(X0,$o,X2,X1)) => bot_bot(set(X0)) = iG739(X0,X1,X2)) & ! [X3 : $tType,X4 : X3,X5 : fun(X3,$o)] : (($true = aa(X3,$o,X5,X4)) => aa(set(X3),set(X3),insert(X3,X4),bot_bot(set(X3))) = iG739(X3,X4,X5))),
% 8.48/2.14    inference(flattening,[],[f20079])).
% 8.48/2.14  tff(f20079,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : X0,X2 : fun(X0,$o)] : (~($true = aa(X0,$o,X2,X1)) => bot_bot(set(X0)) = iG739(X0,X1,X2)) & ! [X3 : $tType,X4 : X3,X5 : fun(X3,$o)] : (($true = aa(X3,$o,X5,X4)) => aa(set(X3),set(X3),insert(X3,X4),bot_bot(set(X3))) = iG739(X3,X4,X5))),
% 8.48/2.14    inference(rectify,[],[f16988])).
% 8.48/2.14  tff(f16988,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : X0,X2 : fun(X0,$o)] : (~($true = aa(X0,$o,X2,X1)) => bot_bot(set(X0)) = iG739(X0,X1,X2)) & ! [X0 : $tType,X1 : X0,X2 : fun(X0,$o)] : (($true = aa(X0,$o,X2,X1)) => aa(set(X0),set(X0),insert(X0,X1),bot_bot(set(X0))) = iG739(X0,X1,X2))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG739])])).
% 8.48/2.14  tff(f44309,plain,(
% 8.48/2.14    ( ! [X0 : $tType,X2 : fun(X0,$o),X1 : X0] : (bot_bot(set(X0)) = iG739(X0,X1,X2) | ($true = aa(X0,$o,X2,X1))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26028])).
% 8.48/2.14  tff(f44306,plain,(
% 8.48/2.14    ( ! [X3 : $tType,X4 : X3,X5 : fun(X3,$o)] : (aa(set(X3),set(X3),insert(X3,X4),bot_bot(set(X3))) = iG740(X3,X4,X5) | ($true != aa(X3,$o,X5,X4))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26027])).
% 8.48/2.14  tff(f26027,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : X0,X2 : fun(X0,$o)] : (bot_bot(set(X0)) = iG740(X0,X1,X2) | ($true = aa(X0,$o,X2,X1))) & ! [X3 : $tType,X4 : X3,X5 : fun(X3,$o)] : (aa(set(X3),set(X3),insert(X3,X4),bot_bot(set(X3))) = iG740(X3,X4,X5) | ($true != aa(X3,$o,X5,X4)))),
% 8.48/2.14    inference(ennf_transformation,[],[f20078])).
% 8.48/2.14  tff(f20078,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : X0,X2 : fun(X0,$o)] : (($true != aa(X0,$o,X2,X1)) => bot_bot(set(X0)) = iG740(X0,X1,X2)) & ! [X3 : $tType,X4 : X3,X5 : fun(X3,$o)] : (($true = aa(X3,$o,X5,X4)) => aa(set(X3),set(X3),insert(X3,X4),bot_bot(set(X3))) = iG740(X3,X4,X5))),
% 8.48/2.14    inference(flattening,[],[f20077])).
% 8.48/2.14  tff(f20077,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : X0,X2 : fun(X0,$o)] : (~($true = aa(X0,$o,X2,X1)) => bot_bot(set(X0)) = iG740(X0,X1,X2)) & ! [X3 : $tType,X4 : X3,X5 : fun(X3,$o)] : (($true = aa(X3,$o,X5,X4)) => aa(set(X3),set(X3),insert(X3,X4),bot_bot(set(X3))) = iG740(X3,X4,X5))),
% 8.48/2.14    inference(rectify,[],[f16991])).
% 8.48/2.14  tff(f16991,plain,(
% 8.48/2.14    ! [X0 : $tType,X1 : X0,X2 : fun(X0,$o)] : (~($true = aa(X0,$o,X2,X1)) => bot_bot(set(X0)) = iG740(X0,X1,X2)) & ! [X0 : $tType,X1 : X0,X2 : fun(X0,$o)] : (($true = aa(X0,$o,X2,X1)) => aa(set(X0),set(X0),insert(X0,X1),bot_bot(set(X0))) = iG740(X0,X1,X2))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG740])])).
% 8.48/2.14  tff(f44307,plain,(
% 8.48/2.14    ( ! [X0 : $tType,X2 : fun(X0,$o),X1 : X0] : (bot_bot(set(X0)) = iG740(X0,X1,X2) | ($true = aa(X0,$o,X2,X1))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26027])).
% 8.48/2.14  tff(f44304,plain,(
% 8.48/2.14    ( ! [X5 : $tType,X3 : set(X5),X4 : X5] : (aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(set(X5),nat,finite_card(X5),X3)),one_one(nat)) = iG741(X5,X3,X4) | ~member(X5,X4,X3)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26026])).
% 8.48/2.14  tff(f26026,plain,(
% 8.48/2.14    ! [X0 : set(X2),X1 : X2,X2 : $tType] : (aa(set(X2),nat,finite_card(X2),X0) = iG741(X2,X0,X1) | member(X2,X1,X0)) & ! [X3 : set(X5),X4 : X5,X5 : $tType] : (aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(set(X5),nat,finite_card(X5),X3)),one_one(nat)) = iG741(X5,X3,X4) | ~member(X5,X4,X3))),
% 8.48/2.14    inference(ennf_transformation,[],[f20076])).
% 8.48/2.14  tff(f20076,plain,(
% 8.48/2.14    ! [X0 : set(X2),X1 : X2,X2 : $tType] : (~member(X2,X1,X0) => aa(set(X2),nat,finite_card(X2),X0) = iG741(X2,X0,X1)) & ! [X3 : set(X5),X4 : X5,X5 : $tType] : (member(X5,X4,X3) => aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(set(X5),nat,finite_card(X5),X3)),one_one(nat)) = iG741(X5,X3,X4))),
% 8.48/2.14    inference(flattening,[],[f20075])).
% 8.48/2.14  tff(f20075,plain,(
% 8.48/2.14    ! [X0 : set(X2),X1 : X2,X2 : $tType] : (~member(X2,X1,X0) => aa(set(X2),nat,finite_card(X2),X0) = iG741(X2,X0,X1)) & ! [X3 : set(X5),X4 : X5,X5 : $tType] : (member(X5,X4,X3) => aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(set(X5),nat,finite_card(X5),X3)),one_one(nat)) = iG741(X5,X3,X4))),
% 8.48/2.14    inference(rectify,[],[f16994])).
% 8.48/2.14  tff(f16994,plain,(
% 8.48/2.14    ! [X1 : set(X0),X2 : X0,X0 : $tType] : (~member(X0,X2,X1) => aa(set(X0),nat,finite_card(X0),X1) = iG741(X0,X1,X2)) & ! [X1 : set(X0),X2 : X0,X0 : $tType] : (member(X0,X2,X1) => aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(set(X0),nat,finite_card(X0),X1)),one_one(nat)) = iG741(X0,X1,X2))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG741])])).
% 8.48/2.14  tff(f44305,plain,(
% 8.48/2.14    ( ! [X2 : $tType,X0 : set(X2),X1 : X2] : (aa(set(X2),nat,finite_card(X2),X0) = iG741(X2,X0,X1) | member(X2,X1,X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26026])).
% 8.48/2.14  tff(f61273,plain,(
% 8.48/2.14    ($true = bG742($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44302])).
% 8.48/2.14  tff(f44302,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG742(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36176])).
% 8.48/2.14  tff(f36176,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG742(X0))) & (($true = bG742(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f16997])).
% 8.48/2.14  tff(f16997,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG742(X0)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG742])])).
% 8.48/2.14  tff(f44303,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG742(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36176])).
% 8.48/2.14  tff(f61272,plain,(
% 8.48/2.14    ($true = bG743($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44300])).
% 8.48/2.14  tff(f44300,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG743(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36175])).
% 8.48/2.14  tff(f36175,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG743(X0))) & (($true = bG743(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20074])).
% 8.48/2.14  tff(f20074,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG743(X0)))),
% 8.48/2.14    inference(rectify,[],[f16998])).
% 8.48/2.14  tff(f16998,plain,(
% 8.48/2.14    ! [X1 : $o] : (($true = X1) <=> ($true = bG743(X1)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG743])])).
% 8.48/2.14  tff(f44301,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG743(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36175])).
% 8.48/2.14  tff(f61271,plain,(
% 8.48/2.14    ($true = bG744($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44298])).
% 8.48/2.14  tff(f44298,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG744(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36174])).
% 8.48/2.14  tff(f36174,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG744(X0))) & (($true = bG744(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20073])).
% 8.48/2.14  tff(f20073,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG744(X0)))),
% 8.48/2.14    inference(rectify,[],[f16999])).
% 8.48/2.14  tff(f16999,plain,(
% 8.48/2.14    ! [X1 : $o] : (($true = X1) <=> ($true = bG744(X1)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG744])])).
% 8.48/2.14  tff(f44299,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG744(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36174])).
% 8.48/2.14  tff(f61270,plain,(
% 8.48/2.14    ($true = bG745($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44296])).
% 8.48/2.14  tff(f44296,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG745(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36173])).
% 8.48/2.14  tff(f36173,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG745(X0))) & (($true = bG745(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f17000])).
% 8.48/2.14  tff(f17000,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG745(X0)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG745])])).
% 8.48/2.14  tff(f44297,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG745(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36173])).
% 8.48/2.14  tff(f61269,plain,(
% 8.48/2.14    ($true = bG746($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44294])).
% 8.48/2.14  tff(f44294,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG746(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36172])).
% 8.48/2.14  tff(f36172,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG746(X0))) & (($true = bG746(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f17001])).
% 8.48/2.14  tff(f17001,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG746(X0)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG746])])).
% 8.48/2.14  tff(f44295,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG746(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36172])).
% 8.48/2.14  tff(f61268,plain,(
% 8.48/2.14    ($true = bG747($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44292])).
% 8.48/2.14  tff(f44292,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG747(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36171])).
% 8.48/2.14  tff(f36171,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG747(X0))) & (($true = bG747(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20072])).
% 8.48/2.14  tff(f20072,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG747(X0)))),
% 8.48/2.14    inference(rectify,[],[f17002])).
% 8.48/2.14  tff(f17002,plain,(
% 8.48/2.14    ! [X1 : $o] : (($true = X1) <=> ($true = bG747(X1)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG747])])).
% 8.48/2.14  tff(f44293,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG747(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36171])).
% 8.48/2.14  tff(f61267,plain,(
% 8.48/2.14    ( ! [X4 : $o,X5 : $o] : (vEBT_Leaf(bG745(X5),$true) = iG748(one_one(nat),X4,X5)) )),
% 8.48/2.14    inference(equality_resolution,[],[f44290])).
% 8.48/2.14  tff(f44290,plain,(
% 8.48/2.14    ( ! [X3 : nat,X4 : $o,X5 : $o] : (vEBT_Leaf(bG745(X5),$true) = iG748(X3,X4,X5) | one_one(nat) != X3) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26025])).
% 8.48/2.14  tff(f26025,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : $o,X2 : $o] : (iG748(X0,X1,X2) = vEBT_Leaf(bG746(X2),bG747(X1)) | one_one(nat) = X0) & ! [X3 : nat,X4 : $o,X5 : $o] : (vEBT_Leaf(bG745(X5),$true) = iG748(X3,X4,X5) | one_one(nat) != X3)),
% 8.48/2.14    inference(ennf_transformation,[],[f20071])).
% 8.48/2.14  tff(f20071,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : $o,X2 : $o] : (one_one(nat) != X0 => iG748(X0,X1,X2) = vEBT_Leaf(bG746(X2),bG747(X1))) & ! [X3 : nat,X4 : $o,X5 : $o] : (one_one(nat) = X3 => vEBT_Leaf(bG745(X5),$true) = iG748(X3,X4,X5))),
% 8.48/2.14    inference(flattening,[],[f20070])).
% 8.48/2.14  tff(f20070,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : $o,X2 : $o] : (~one_one(nat) = X0 => iG748(X0,X1,X2) = vEBT_Leaf(bG746(X2),bG747(X1))) & ! [X3 : nat,X4 : $o,X5 : $o] : (one_one(nat) = X3 => vEBT_Leaf(bG745(X5),$true) = iG748(X3,X4,X5))),
% 8.48/2.14    inference(rectify,[],[f17003])).
% 8.48/2.14  tff(f17003,plain,(
% 8.48/2.14    ! [X2 : nat,X1 : $o,X0 : $o] : (~one_one(nat) = X2 => vEBT_Leaf(bG746(X0),bG747(X1)) = iG748(X2,X1,X0)) & ! [X2 : nat,X1 : $o,X0 : $o] : (one_one(nat) = X2 => vEBT_Leaf(bG745(X0),$true) = iG748(X2,X1,X0))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG748])])).
% 8.48/2.14  tff(f44291,plain,(
% 8.48/2.14    ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG748(X0,X1,X2) = vEBT_Leaf(bG746(X2),bG747(X1)) | one_one(nat) = X0) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26025])).
% 8.48/2.14  tff(f61266,plain,(
% 8.48/2.14    ( ! [X4 : $o,X5 : $o] : (vEBT_Leaf($true,bG744(X4)) = iG749(zero_zero(nat),X4,X5)) )),
% 8.48/2.14    inference(equality_resolution,[],[f44288])).
% 8.48/2.14  tff(f44288,plain,(
% 8.48/2.14    ( ! [X3 : nat,X4 : $o,X5 : $o] : (vEBT_Leaf($true,bG744(X4)) = iG749(X3,X4,X5) | zero_zero(nat) != X3) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26024])).
% 8.48/2.14  tff(f26024,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : $o,X2 : $o] : (iG748(X0,X1,X2) = iG749(X0,X1,X2) | zero_zero(nat) = X0) & ! [X3 : nat,X4 : $o,X5 : $o] : (vEBT_Leaf($true,bG744(X4)) = iG749(X3,X4,X5) | zero_zero(nat) != X3)),
% 8.48/2.14    inference(ennf_transformation,[],[f20069])).
% 8.48/2.14  tff(f20069,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : $o,X2 : $o] : (zero_zero(nat) != X0 => iG748(X0,X1,X2) = iG749(X0,X1,X2)) & ! [X3 : nat,X4 : $o,X5 : $o] : (zero_zero(nat) = X3 => vEBT_Leaf($true,bG744(X4)) = iG749(X3,X4,X5))),
% 8.48/2.14    inference(flattening,[],[f20068])).
% 8.48/2.14  tff(f20068,plain,(
% 8.48/2.14    ! [X0 : nat,X1 : $o,X2 : $o] : (~zero_zero(nat) = X0 => iG748(X0,X1,X2) = iG749(X0,X1,X2)) & ! [X3 : nat,X4 : $o,X5 : $o] : (zero_zero(nat) = X3 => vEBT_Leaf($true,bG744(X4)) = iG749(X3,X4,X5))),
% 8.48/2.14    inference(rectify,[],[f17004])).
% 8.48/2.14  tff(f17004,plain,(
% 8.48/2.14    ! [X2 : nat,X1 : $o,X0 : $o] : (~zero_zero(nat) = X2 => iG748(X2,X1,X0) = iG749(X2,X1,X0)) & ! [X2 : nat,X1 : $o,X0 : $o] : (zero_zero(nat) = X2 => vEBT_Leaf($true,bG744(X1)) = iG749(X2,X1,X0))),
% 8.48/2.14    introduced(fool_ite_definition,[new_symbols(definition,[iG749])])).
% 8.48/2.14  tff(f44289,plain,(
% 8.48/2.14    ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG748(X0,X1,X2) = iG749(X0,X1,X2) | zero_zero(nat) = X0) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26024])).
% 8.48/2.14  tff(f61265,plain,(
% 8.48/2.14    ($true = bG750($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44286])).
% 8.48/2.14  tff(f44286,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG750(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36170])).
% 8.48/2.14  tff(f36170,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG750(X0))) & (($true = bG750(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f17007])).
% 8.48/2.14  tff(f17007,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG750(X0)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG750])])).
% 8.48/2.14  tff(f44287,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG750(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36170])).
% 8.48/2.14  tff(f61264,plain,(
% 8.48/2.14    ($true = bG751($true))),
% 8.48/2.14    inference(equality_resolution,[],[f44284])).
% 8.48/2.14  tff(f44284,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = bG751(X0)) | ($true != X0)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36169])).
% 8.48/2.14  tff(f36169,plain,(
% 8.48/2.14    ! [X0 : $o] : ((($true = X0) | ($true != bG751(X0))) & (($true = bG751(X0)) | ($true != X0)))),
% 8.48/2.14    inference(nnf_transformation,[],[f20067])).
% 8.48/2.14  tff(f20067,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true = X0) <=> ($true = bG751(X0)))),
% 8.48/2.14    inference(rectify,[],[f17008])).
% 8.48/2.14  tff(f17008,plain,(
% 8.48/2.14    ! [X1 : $o] : (($true = X1) <=> ($true = bG751(X1)))),
% 8.48/2.14    introduced(fool_formula_definition,[new_symbols(definition,[bG751])])).
% 8.48/2.14  tff(f44285,plain,(
% 8.48/2.14    ( ! [X0 : $o] : (($true = X0) | ($true != bG751(X0))) )),
% 8.48/2.14    inference(cnf_transformation,[],[f36169])).
% 8.48/2.14  tff(f61263,plain,(
% 8.48/2.14    aa(nat,option(nat),some(nat),zero_zero(nat)) = iG752($true)),
% 8.48/2.14    inference(equality_resolution,[],[f44282])).
% 8.48/2.14  tff(f44282,plain,(
% 8.48/2.14    ( ! [X1 : $o] : (aa(nat,option(nat),some(nat),zero_zero(nat)) = iG752(X1) | ($true != X1)) )),
% 8.48/2.14    inference(cnf_transformation,[],[f26023])).
% 8.48/2.14  tff(f26023,plain,(
% 8.48/2.14    ! [X0 : $o] : (none(nat) = iG752(X0) | ($true = X0)) & ! [X1 : $o] : (aa(nat,option(nat),some(nat),zero_zero(nat)) = iG752(X1) | ($true != X1))),
% 8.48/2.14    inference(ennf_transformation,[],[f20066])).
% 8.48/2.14  tff(f20066,plain,(
% 8.48/2.14    ! [X0 : $o] : (($true != X0) => none(nat) = iG752(X0)) & ! [X1 : $o] : (($true = X1) => aa(nat,option(nat),some(nat),zero_zero(nat)) = iG752(X1))),
% 8.48/2.14    inference(flattening,[],[f20065])).
% 8.48/2.14  tff(f20065,plain,(
% 8.48/2.14    ! [X0 : $o] : (~($true = X0) => none(nat) = iG752(X0)) & ! [X1 : $o] : (($true = X1) => aa(nat,option(nat),some(nat),zero_zero(nat)) = iG752(X1))),
% 8.48/2.14    inference(rectify,[],[f17009])).
% 8.48/2.15  tff(f17009,plain,(
% 8.48/2.15    ! [X0 : $o] : (~($true = X0) => none(nat) = iG752(X0)) & ! [X0 : $o] : (($true = X0) => aa(nat,option(nat),some(nat),zero_zero(nat)) = iG752(X0))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG752])])).
% 8.48/2.15  tff(f44283,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (none(nat) = iG752(X0) | ($true = X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f26023])).
% 8.48/2.15  tff(f61262,plain,(
% 8.48/2.15    ( ! [X3 : $o] : (aa(nat,option(nat),some(nat),one_one(nat)) = iG753($true,X3)) )),
% 8.48/2.15    inference(equality_resolution,[],[f44280])).
% 8.48/2.15  tff(f44280,plain,(
% 8.48/2.15    ( ! [X2 : $o,X3 : $o] : (aa(nat,option(nat),some(nat),one_one(nat)) = iG753(X2,X3) | ($true != X2)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f26022])).
% 8.48/2.15  tff(f26022,plain,(
% 8.48/2.15    ! [X0 : $o,X1 : $o] : (iG752(X1) = iG753(X0,X1) | ($true = X0)) & ! [X2 : $o,X3 : $o] : (aa(nat,option(nat),some(nat),one_one(nat)) = iG753(X2,X3) | ($true != X2))),
% 8.48/2.15    inference(ennf_transformation,[],[f20064])).
% 8.48/2.15  tff(f20064,plain,(
% 8.48/2.15    ! [X0 : $o,X1 : $o] : (($true != X0) => iG752(X1) = iG753(X0,X1)) & ! [X2 : $o,X3 : $o] : (($true = X2) => aa(nat,option(nat),some(nat),one_one(nat)) = iG753(X2,X3))),
% 8.48/2.15    inference(flattening,[],[f20063])).
% 8.48/2.15  tff(f20063,plain,(
% 8.48/2.15    ! [X0 : $o,X1 : $o] : (~($true = X0) => iG752(X1) = iG753(X0,X1)) & ! [X2 : $o,X3 : $o] : (($true = X2) => aa(nat,option(nat),some(nat),one_one(nat)) = iG753(X2,X3))),
% 8.48/2.15    inference(rectify,[],[f17010])).
% 8.48/2.15  tff(f17010,plain,(
% 8.48/2.15    ! [X1 : $o,X0 : $o] : (~($true = X1) => iG752(X0) = iG753(X1,X0)) & ! [X1 : $o,X0 : $o] : (($true = X1) => aa(nat,option(nat),some(nat),one_one(nat)) = iG753(X1,X0))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG753])])).
% 8.48/2.15  tff(f44281,plain,(
% 8.48/2.15    ( ! [X0 : $o,X1 : $o] : (iG752(X1) = iG753(X0,X1) | ($true = X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f26022])).
% 8.48/2.15  tff(f61261,plain,(
% 8.48/2.15    ($true = bG754($true))),
% 8.48/2.15    inference(equality_resolution,[],[f44278])).
% 8.48/2.15  tff(f44278,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG754(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36168])).
% 8.48/2.15  tff(f36168,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG754(X0))) & (($true = bG754(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f20062])).
% 8.48/2.15  tff(f20062,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG754(X0)))),
% 8.48/2.15    inference(rectify,[],[f17123])).
% 8.48/2.15  tff(f17123,plain,(
% 8.48/2.15    ! [X3 : $o] : (($true = X3) <=> ($true = bG754(X3)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG754])])).
% 8.48/2.15  tff(f44279,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG754(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36168])).
% 8.48/2.15  tff(f61260,plain,(
% 8.48/2.15    ($true = bG755($true))),
% 8.48/2.15    inference(equality_resolution,[],[f44276])).
% 8.48/2.15  tff(f44276,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG755(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36167])).
% 8.48/2.15  tff(f36167,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG755(X0))) & (($true = bG755(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f20061])).
% 8.48/2.15  tff(f20061,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG755(X0)))),
% 8.48/2.15    inference(rectify,[],[f17124])).
% 8.48/2.15  tff(f17124,plain,(
% 8.48/2.15    ! [X4 : $o] : (($true = X4) <=> ($true = bG755(X4)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG755])])).
% 8.48/2.15  tff(f44277,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG755(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36167])).
% 8.48/2.15  tff(f61259,plain,(
% 8.48/2.15    ($true = bG756($true))),
% 8.48/2.15    inference(equality_resolution,[],[f44274])).
% 8.48/2.15  tff(f44274,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG756(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36166])).
% 8.48/2.15  tff(f36166,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG756(X0))) & (($true = bG756(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f20060])).
% 8.48/2.15  tff(f20060,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG756(X0)))),
% 8.48/2.15    inference(rectify,[],[f17125])).
% 8.48/2.15  tff(f17125,plain,(
% 8.48/2.15    ! [X4 : $o] : (($true = X4) <=> ($true = bG756(X4)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG756])])).
% 8.48/2.15  tff(f44275,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG756(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36166])).
% 8.48/2.15  tff(f61258,plain,(
% 8.48/2.15    ($true = bG757($true))),
% 8.48/2.15    inference(equality_resolution,[],[f44272])).
% 8.48/2.15  tff(f44272,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG757(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36165])).
% 8.48/2.15  tff(f36165,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG757(X0))) & (($true = bG757(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f20059])).
% 8.48/2.15  tff(f20059,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG757(X0)))),
% 8.48/2.15    inference(rectify,[],[f17126])).
% 8.48/2.15  tff(f17126,plain,(
% 8.48/2.15    ! [X3 : $o] : (($true = X3) <=> ($true = bG757(X3)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG757])])).
% 8.48/2.15  tff(f44273,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG757(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36165])).
% 8.48/2.15  tff(f61257,plain,(
% 8.48/2.15    ($true = bG758($true))),
% 8.48/2.15    inference(equality_resolution,[],[f44270])).
% 8.48/2.15  tff(f44270,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG758(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36164])).
% 8.48/2.15  tff(f36164,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG758(X0))) & (($true = bG758(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f20058])).
% 8.48/2.15  tff(f20058,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG758(X0)))),
% 8.48/2.15    inference(rectify,[],[f17127])).
% 8.48/2.15  tff(f17127,plain,(
% 8.48/2.15    ! [X3 : $o] : (($true = X3) <=> ($true = bG758(X3)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG758])])).
% 8.48/2.15  tff(f44271,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG758(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36164])).
% 8.48/2.15  tff(f61256,plain,(
% 8.48/2.15    ($true = bG759($true))),
% 8.48/2.15    inference(equality_resolution,[],[f44268])).
% 8.48/2.15  tff(f44268,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG759(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36163])).
% 8.48/2.15  tff(f36163,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG759(X0))) & (($true = bG759(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f20057])).
% 8.48/2.15  tff(f20057,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG759(X0)))),
% 8.48/2.15    inference(rectify,[],[f17128])).
% 8.48/2.15  tff(f17128,plain,(
% 8.48/2.15    ! [X4 : $o] : (($true = X4) <=> ($true = bG759(X4)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG759])])).
% 8.48/2.15  tff(f44269,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG759(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36163])).
% 8.48/2.15  tff(f61255,plain,(
% 8.48/2.15    ( ! [X4 : $o,X5 : $o] : (vEBT_Leaf(bG757(X5),$true) = iG760(one_one(nat),X4,X5)) )),
% 8.48/2.15    inference(equality_resolution,[],[f44266])).
% 8.48/2.15  tff(f44266,plain,(
% 8.48/2.15    ( ! [X3 : nat,X4 : $o,X5 : $o] : (vEBT_Leaf(bG757(X5),$true) = iG760(X3,X4,X5) | one_one(nat) != X3) )),
% 8.48/2.15    inference(cnf_transformation,[],[f26021])).
% 8.48/2.15  tff(f26021,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : $o,X2 : $o] : (iG760(X0,X1,X2) = vEBT_Leaf(bG758(X2),bG759(X1)) | one_one(nat) = X0) & ! [X3 : nat,X4 : $o,X5 : $o] : (vEBT_Leaf(bG757(X5),$true) = iG760(X3,X4,X5) | one_one(nat) != X3)),
% 8.48/2.15    inference(ennf_transformation,[],[f20056])).
% 8.48/2.15  tff(f20056,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : $o,X2 : $o] : (one_one(nat) != X0 => iG760(X0,X1,X2) = vEBT_Leaf(bG758(X2),bG759(X1))) & ! [X3 : nat,X4 : $o,X5 : $o] : (one_one(nat) = X3 => vEBT_Leaf(bG757(X5),$true) = iG760(X3,X4,X5))),
% 8.48/2.15    inference(flattening,[],[f20055])).
% 8.48/2.15  tff(f20055,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : $o,X2 : $o] : (~one_one(nat) = X0 => iG760(X0,X1,X2) = vEBT_Leaf(bG758(X2),bG759(X1))) & ! [X3 : nat,X4 : $o,X5 : $o] : (one_one(nat) = X3 => vEBT_Leaf(bG757(X5),$true) = iG760(X3,X4,X5))),
% 8.48/2.15    inference(rectify,[],[f17129])).
% 8.48/2.15  tff(f17129,plain,(
% 8.48/2.15    ! [X1 : nat,X4 : $o,X3 : $o] : (~one_one(nat) = X1 => vEBT_Leaf(bG758(X3),bG759(X4)) = iG760(X1,X4,X3)) & ! [X1 : nat,X4 : $o,X3 : $o] : (one_one(nat) = X1 => vEBT_Leaf(bG757(X3),$true) = iG760(X1,X4,X3))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG760])])).
% 8.48/2.15  tff(f44267,plain,(
% 8.48/2.15    ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG760(X0,X1,X2) = vEBT_Leaf(bG758(X2),bG759(X1)) | one_one(nat) = X0) )),
% 8.48/2.15    inference(cnf_transformation,[],[f26021])).
% 8.48/2.15  tff(f61254,plain,(
% 8.48/2.15    ( ! [X4 : $o,X5 : $o] : (vEBT_Leaf($true,bG756(X4)) = iG761(zero_zero(nat),X4,X5)) )),
% 8.48/2.15    inference(equality_resolution,[],[f44264])).
% 8.48/2.15  tff(f44264,plain,(
% 8.48/2.15    ( ! [X3 : nat,X4 : $o,X5 : $o] : (vEBT_Leaf($true,bG756(X4)) = iG761(X3,X4,X5) | zero_zero(nat) != X3) )),
% 8.48/2.15    inference(cnf_transformation,[],[f26020])).
% 8.48/2.15  tff(f26020,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : $o,X2 : $o] : (iG760(X0,X1,X2) = iG761(X0,X1,X2) | zero_zero(nat) = X0) & ! [X3 : nat,X4 : $o,X5 : $o] : (vEBT_Leaf($true,bG756(X4)) = iG761(X3,X4,X5) | zero_zero(nat) != X3)),
% 8.48/2.15    inference(ennf_transformation,[],[f20054])).
% 8.48/2.15  tff(f20054,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : $o,X2 : $o] : (zero_zero(nat) != X0 => iG760(X0,X1,X2) = iG761(X0,X1,X2)) & ! [X3 : nat,X4 : $o,X5 : $o] : (zero_zero(nat) = X3 => vEBT_Leaf($true,bG756(X4)) = iG761(X3,X4,X5))),
% 8.48/2.15    inference(flattening,[],[f20053])).
% 8.48/2.15  tff(f20053,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : $o,X2 : $o] : (~zero_zero(nat) = X0 => iG760(X0,X1,X2) = iG761(X0,X1,X2)) & ! [X3 : nat,X4 : $o,X5 : $o] : (zero_zero(nat) = X3 => vEBT_Leaf($true,bG756(X4)) = iG761(X3,X4,X5))),
% 8.48/2.15    inference(rectify,[],[f17130])).
% 8.48/2.15  tff(f17130,plain,(
% 8.48/2.15    ! [X1 : nat,X4 : $o,X3 : $o] : (~zero_zero(nat) = X1 => iG760(X1,X4,X3) = iG761(X1,X4,X3)) & ! [X1 : nat,X4 : $o,X3 : $o] : (zero_zero(nat) = X1 => vEBT_Leaf($true,bG756(X4)) = iG761(X1,X4,X3))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG761])])).
% 8.48/2.15  tff(f44265,plain,(
% 8.48/2.15    ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG760(X0,X1,X2) = iG761(X0,X1,X2) | zero_zero(nat) = X0) )),
% 8.48/2.15    inference(cnf_transformation,[],[f26020])).
% 8.48/2.15  tff(f44262,plain,(
% 8.48/2.15    ( ! [X2 : nat,X3 : nat] : (iG763(X2,X3) = X2 | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f26019])).
% 8.48/2.15  tff(f26019,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : (iG763(X0,X1) = X1 | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) & ! [X2 : nat,X3 : nat] : (iG763(X2,X3) = X2 | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)))),
% 8.48/2.15    inference(ennf_transformation,[],[f20052])).
% 8.48/2.15  tff(f20052,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) => iG763(X0,X1) = X1) & ! [X2 : nat,X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)) => iG763(X2,X3) = X2)),
% 8.48/2.15    inference(flattening,[],[f20051])).
% 8.48/2.15  tff(f20051,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) => iG763(X0,X1) = X1) & ! [X2 : nat,X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)) => iG763(X2,X3) = X2)),
% 8.48/2.15    inference(rectify,[],[f17131])).
% 8.48/2.15  tff(f17131,plain,(
% 8.48/2.15    ! [X14 : nat,X1 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X14)) => iG763(X14,X1) = X1) & ! [X14 : nat,X1 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X14)) => iG763(X14,X1) = X14)),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG763])])).
% 8.48/2.15  tff(f44263,plain,(
% 8.48/2.15    ( ! [X0 : nat,X1 : nat] : (iG763(X0,X1) = X1 | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f26019])).
% 8.48/2.15  tff(f44261,plain,(
% 8.48/2.15    ( ! [X0 : nat,X1 : nat] : (lG762(X0,X1) = iG763(X1,X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f20050])).
% 8.48/2.15  tff(f20050,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : lG762(X0,X1) = iG763(X1,X0)),
% 8.48/2.15    inference(rectify,[],[f17132])).
% 8.48/2.15  tff(f17132,plain,(
% 8.48/2.15    ! [X1 : nat,X14 : nat] : iG763(X14,X1) = lG762(X1,X14)),
% 8.48/2.15    introduced(fool_let_definition,[new_symbols(definition,[lG762])])).
% 8.48/2.15  tff(f44260,plain,(
% 8.48/2.15    ( ! [X2 : nat,X0 : nat,X1 : nat] : (vEBT_VEBT_high(lG762(X0,X1),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG764(X0,X1,X2)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f20049])).
% 8.48/2.15  tff(f20049,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : nat] : vEBT_VEBT_high(lG762(X0,X1),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG764(X0,X1,X2)),
% 8.48/2.15    inference(rectify,[],[f17133])).
% 8.48/2.15  tff(f17133,plain,(
% 8.48/2.15    ! [X1 : nat,X14 : nat,X16 : nat] : vEBT_VEBT_high(lG762(X1,X14),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X16)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG764(X1,X14,X16)),
% 8.48/2.15    introduced(fool_let_definition,[new_symbols(definition,[lG764])])).
% 8.48/2.15  tff(f44258,plain,(
% 8.48/2.15    ( ! [X2 : nat,X3 : nat] : (iG765(X2,X3) = X3 | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f26018])).
% 8.48/2.15  tff(f26018,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : (iG765(X0,X1) = X0 | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) & ! [X2 : nat,X3 : nat] : (iG765(X2,X3) = X3 | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)))),
% 8.48/2.15    inference(ennf_transformation,[],[f20048])).
% 8.48/2.15  tff(f20048,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) => iG765(X0,X1) = X0) & ! [X2 : nat,X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)) => iG765(X2,X3) = X3)),
% 8.48/2.15    inference(flattening,[],[f20047])).
% 8.48/2.15  tff(f20047,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) => iG765(X0,X1) = X0) & ! [X2 : nat,X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)) => iG765(X2,X3) = X3)),
% 8.48/2.15    inference(rectify,[],[f17134])).
% 8.48/2.15  tff(f17134,plain,(
% 8.48/2.15    ! [X14 : nat,X1 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X14)) => iG765(X14,X1) = X14) & ! [X14 : nat,X1 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X14)) => iG765(X14,X1) = X1)),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG765])])).
% 8.48/2.15  tff(f44259,plain,(
% 8.48/2.15    ( ! [X0 : nat,X1 : nat] : (iG765(X0,X1) = X0 | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f26018])).
% 8.48/2.15  tff(f44256,plain,(
% 8.48/2.15    ( ! [X8 : list(vEBT_VEBT),X6 : nat,X9 : vEBT_VEBT,X7 : nat,X5 : nat] : (vEBT_vebt_insert(X9,lG764(X7,X6,X5)) = iG766(X5,X6,X7,X8,X9) | ~vEBT_VEBT_minNull(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X8),lG764(X7,X6,X5)))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f26017])).
% 8.48/2.15  tff(f26017,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT),X4 : vEBT_VEBT] : (iG766(X0,X1,X2,X3,X4) = X4 | vEBT_VEBT_minNull(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG764(X2,X1,X0)))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : list(vEBT_VEBT),X9 : vEBT_VEBT] : (vEBT_vebt_insert(X9,lG764(X7,X6,X5)) = iG766(X5,X6,X7,X8,X9) | ~vEBT_VEBT_minNull(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X8),lG764(X7,X6,X5))))),
% 8.48/2.15    inference(ennf_transformation,[],[f20046])).
% 8.48/2.15  tff(f20046,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT),X4 : vEBT_VEBT] : (~vEBT_VEBT_minNull(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG764(X2,X1,X0))) => iG766(X0,X1,X2,X3,X4) = X4) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : list(vEBT_VEBT),X9 : vEBT_VEBT] : (vEBT_VEBT_minNull(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X8),lG764(X7,X6,X5))) => vEBT_vebt_insert(X9,lG764(X7,X6,X5)) = iG766(X5,X6,X7,X8,X9))),
% 8.48/2.15    inference(flattening,[],[f20045])).
% 8.48/2.15  tff(f20045,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT),X4 : vEBT_VEBT] : (~vEBT_VEBT_minNull(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG764(X2,X1,X0))) => iG766(X0,X1,X2,X3,X4) = X4) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : list(vEBT_VEBT),X9 : vEBT_VEBT] : (vEBT_VEBT_minNull(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X8),lG764(X7,X6,X5))) => vEBT_vebt_insert(X9,lG764(X7,X6,X5)) = iG766(X5,X6,X7,X8,X9))),
% 8.48/2.15    inference(rectify,[],[f17135])).
% 8.48/2.15  tff(f17135,plain,(
% 8.48/2.15    ! [X16 : nat,X14 : nat,X1 : nat,X17 : list(vEBT_VEBT),X18 : vEBT_VEBT] : (~vEBT_VEBT_minNull(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X17),lG764(X1,X14,X16))) => iG766(X16,X14,X1,X17,X18) = X18) & ! [X16 : nat,X14 : nat,X1 : nat,X17 : list(vEBT_VEBT),X18 : vEBT_VEBT] : (vEBT_VEBT_minNull(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X17),lG764(X1,X14,X16))) => vEBT_vebt_insert(X18,lG764(X1,X14,X16)) = iG766(X16,X14,X1,X17,X18))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG766])])).
% 8.48/2.15  tff(f44257,plain,(
% 8.48/2.15    ( ! [X2 : nat,X3 : list(vEBT_VEBT),X0 : nat,X1 : nat,X4 : vEBT_VEBT] : (iG766(X0,X1,X2,X3,X4) = X4 | vEBT_VEBT_minNull(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG764(X2,X1,X0)))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f26017])).
% 8.48/2.15  tff(f44252,plain,(
% 8.48/2.15    ( ! [X10 : nat,X11 : vEBT_VEBT,X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat] : (vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),iG765(X8,X7)),aa(nat,nat,aa(nat,fun(nat,nat),ord_max(nat),lG762(X7,X8)),X6))),aa(nat,nat,suc,aa(nat,nat,suc,X10)),list_update(vEBT_VEBT,X9,lG764(X7,X8,X10),vEBT_vebt_insert(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X9),lG764(X7,X8,X10)),vEBT_VEBT_low(lG762(X7,X8),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X10)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),iG766(X10,X8,X7,X9,X11)) = iG767(X6,X7,X8,X9,X10,X11) | X6 = X7 | X7 = X8 | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG764(X7,X8,X10)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X9)))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f26016])).
% 8.48/2.15  tff(f26016,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT),X4 : nat,X5 : vEBT_VEBT] : (vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X2),X0)),aa(nat,nat,suc,aa(nat,nat,suc,X4)),X3,X5) = iG767(X0,X1,X2,X3,X4,X5) | (X0 != X1 & X1 != X2 & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG764(X1,X2,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))) & ! [X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT),X10 : nat,X11 : vEBT_VEBT] : (vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),iG765(X8,X7)),aa(nat,nat,aa(nat,fun(nat,nat),ord_max(nat),lG762(X7,X8)),X6))),aa(nat,nat,suc,aa(nat,nat,suc,X10)),list_update(vEBT_VEBT,X9,lG764(X7,X8,X10),vEBT_vebt_insert(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X9),lG764(X7,X8,X10)),vEBT_VEBT_low(lG762(X7,X8),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X10)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),iG766(X10,X8,X7,X9,X11)) = iG767(X6,X7,X8,X9,X10,X11) | X6 = X7 | X7 = X8 | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG764(X7,X8,X10)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X9))))),
% 8.48/2.15    inference(flattening,[],[f26015])).
% 8.48/2.15  tff(f26015,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT),X4 : nat,X5 : vEBT_VEBT] : (vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X2),X0)),aa(nat,nat,suc,aa(nat,nat,suc,X4)),X3,X5) = iG767(X0,X1,X2,X3,X4,X5) | ((X0 != X1 & X1 != X2) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG764(X1,X2,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))) & ! [X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT),X10 : nat,X11 : vEBT_VEBT] : (vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),iG765(X8,X7)),aa(nat,nat,aa(nat,fun(nat,nat),ord_max(nat),lG762(X7,X8)),X6))),aa(nat,nat,suc,aa(nat,nat,suc,X10)),list_update(vEBT_VEBT,X9,lG764(X7,X8,X10),vEBT_vebt_insert(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X9),lG764(X7,X8,X10)),vEBT_VEBT_low(lG762(X7,X8),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X10)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),iG766(X10,X8,X7,X9,X11)) = iG767(X6,X7,X8,X9,X10,X11) | ((X6 = X7 | X7 = X8) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG764(X7,X8,X10)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X9)))))),
% 8.48/2.15    inference(ennf_transformation,[],[f20044])).
% 8.48/2.15  tff(f20044,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT),X4 : nat,X5 : vEBT_VEBT] : (~(~(X0 = X1 | X1 = X2) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG764(X1,X2,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3)))) => vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X2),X0)),aa(nat,nat,suc,aa(nat,nat,suc,X4)),X3,X5) = iG767(X0,X1,X2,X3,X4,X5)) & ! [X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT),X10 : nat,X11 : vEBT_VEBT] : ((~(X6 = X7 | X7 = X8) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG764(X7,X8,X10)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X9)))) => vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),iG765(X8,X7)),aa(nat,nat,aa(nat,fun(nat,nat),ord_max(nat),lG762(X7,X8)),X6))),aa(nat,nat,suc,aa(nat,nat,suc,X10)),list_update(vEBT_VEBT,X9,lG764(X7,X8,X10),vEBT_vebt_insert(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X9),lG764(X7,X8,X10)),vEBT_VEBT_low(lG762(X7,X8),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X10)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),iG766(X10,X8,X7,X9,X11)) = iG767(X6,X7,X8,X9,X10,X11))),
% 8.48/2.15    inference(rectify,[],[f17136])).
% 8.48/2.15  tff(f17136,plain,(
% 8.48/2.15    ! [X15 : nat,X1 : nat,X14 : nat,X17 : list(vEBT_VEBT),X16 : nat,X18 : vEBT_VEBT] : (~(~(X1 = X15 | X1 = X14) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG764(X1,X14,X16)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X17)))) => vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X14),X15)),aa(nat,nat,suc,aa(nat,nat,suc,X16)),X17,X18) = iG767(X15,X1,X14,X17,X16,X18)) & ! [X15 : nat,X1 : nat,X14 : nat,X17 : list(vEBT_VEBT),X16 : nat,X18 : vEBT_VEBT] : ((~(X1 = X15 | X1 = X14) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG764(X1,X14,X16)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X17)))) => vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),iG765(X14,X1)),aa(nat,nat,aa(nat,fun(nat,nat),ord_max(nat),lG762(X1,X14)),X15))),aa(nat,nat,suc,aa(nat,nat,suc,X16)),list_update(vEBT_VEBT,X17,lG764(X1,X14,X16),vEBT_vebt_insert(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X17),lG764(X1,X14,X16)),vEBT_VEBT_low(lG762(X1,X14),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X16)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),iG766(X16,X14,X1,X17,X18)) = iG767(X15,X1,X14,X17,X16,X18))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG767])])).
% 8.48/2.15  tff(f44253,plain,(
% 8.48/2.15    ( ! [X2 : nat,X3 : list(vEBT_VEBT),X0 : nat,X1 : nat,X4 : nat,X5 : vEBT_VEBT] : (vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X2),X0)),aa(nat,nat,suc,aa(nat,nat,suc,X4)),X3,X5) = iG767(X0,X1,X2,X3,X4,X5) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG764(X1,X2,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3)))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f26016])).
% 8.48/2.15  tff(f61253,plain,(
% 8.48/2.15    ( ! [X2 : nat,X3 : list(vEBT_VEBT),X0 : nat,X4 : nat,X5 : vEBT_VEBT] : (vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X2),X0)),aa(nat,nat,suc,aa(nat,nat,suc,X4)),X3,X5) = iG767(X0,X2,X2,X3,X4,X5)) )),
% 8.48/2.15    inference(equality_resolution,[],[f44254])).
% 8.48/2.15  tff(f44254,plain,(
% 8.48/2.15    ( ! [X2 : nat,X3 : list(vEBT_VEBT),X0 : nat,X1 : nat,X4 : nat,X5 : vEBT_VEBT] : (vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X2),X0)),aa(nat,nat,suc,aa(nat,nat,suc,X4)),X3,X5) = iG767(X0,X1,X2,X3,X4,X5) | X1 != X2) )),
% 8.48/2.15    inference(cnf_transformation,[],[f26016])).
% 8.48/2.15  tff(f61252,plain,(
% 8.48/2.15    ( ! [X2 : nat,X3 : list(vEBT_VEBT),X1 : nat,X4 : nat,X5 : vEBT_VEBT] : (vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X2),X1)),aa(nat,nat,suc,aa(nat,nat,suc,X4)),X3,X5) = iG767(X1,X1,X2,X3,X4,X5)) )),
% 8.48/2.15    inference(equality_resolution,[],[f44255])).
% 8.48/2.15  tff(f44255,plain,(
% 8.48/2.15    ( ! [X2 : nat,X3 : list(vEBT_VEBT),X0 : nat,X1 : nat,X4 : nat,X5 : vEBT_VEBT] : (vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X2),X0)),aa(nat,nat,suc,aa(nat,nat,suc,X4)),X3,X5) = iG767(X0,X1,X2,X3,X4,X5) | X0 != X1) )),
% 8.48/2.15    inference(cnf_transformation,[],[f26016])).
% 8.48/2.15  tff(f61251,plain,(
% 8.48/2.15    ($true = bG768($true))),
% 8.48/2.15    inference(equality_resolution,[],[f44250])).
% 8.48/2.15  tff(f44250,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG768(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36162])).
% 8.48/2.15  tff(f36162,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG768(X0))) & (($true = bG768(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f20043])).
% 8.48/2.15  tff(f20043,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG768(X0)))),
% 8.48/2.15    inference(rectify,[],[f17139])).
% 8.48/2.15  tff(f17139,plain,(
% 8.48/2.15    ! [X3 : $o] : (($true = X3) <=> ($true = bG768(X3)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG768])])).
% 8.48/2.15  tff(f44251,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG768(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36162])).
% 8.48/2.15  tff(f61250,plain,(
% 8.48/2.15    ($true = bG769($true))),
% 8.48/2.15    inference(equality_resolution,[],[f44248])).
% 8.48/2.15  tff(f44248,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG769(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36161])).
% 8.48/2.15  tff(f36161,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG769(X0))) & (($true = bG769(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f20042])).
% 8.48/2.15  tff(f20042,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG769(X0)))),
% 8.48/2.15    inference(rectify,[],[f17140])).
% 8.48/2.15  tff(f17140,plain,(
% 8.48/2.15    ! [X4 : $o] : (($true = X4) <=> ($true = bG769(X4)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG769])])).
% 8.48/2.15  tff(f44249,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG769(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36161])).
% 8.48/2.15  tff(f61249,plain,(
% 8.48/2.15    ($true = bG770($true))),
% 8.48/2.15    inference(equality_resolution,[],[f44246])).
% 8.48/2.15  tff(f44246,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG770(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36160])).
% 8.48/2.15  tff(f36160,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG770(X0))) & (($true = bG770(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f20041])).
% 8.48/2.15  tff(f20041,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG770(X0)))),
% 8.48/2.15    inference(rectify,[],[f17141])).
% 8.48/2.15  tff(f17141,plain,(
% 8.48/2.15    ! [X4 : $o] : (($true = X4) <=> ($true = bG770(X4)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG770])])).
% 8.48/2.15  tff(f44247,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG770(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36160])).
% 8.48/2.15  tff(f61248,plain,(
% 8.48/2.15    ($true = bG771($true))),
% 8.48/2.15    inference(equality_resolution,[],[f44244])).
% 8.48/2.15  tff(f44244,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG771(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36159])).
% 8.48/2.15  tff(f36159,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG771(X0))) & (($true = bG771(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f20040])).
% 8.48/2.15  tff(f20040,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG771(X0)))),
% 8.48/2.15    inference(rectify,[],[f17142])).
% 8.48/2.15  tff(f17142,plain,(
% 8.48/2.15    ! [X3 : $o] : (($true = X3) <=> ($true = bG771(X3)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG771])])).
% 8.48/2.15  tff(f44245,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG771(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36159])).
% 8.48/2.15  tff(f61247,plain,(
% 8.48/2.15    ($true = bG772($true))),
% 8.48/2.15    inference(equality_resolution,[],[f44242])).
% 8.48/2.15  tff(f44242,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG772(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36158])).
% 8.48/2.15  tff(f36158,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG772(X0))) & (($true = bG772(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f20039])).
% 8.48/2.15  tff(f20039,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG772(X0)))),
% 8.48/2.15    inference(rectify,[],[f17143])).
% 8.48/2.15  tff(f17143,plain,(
% 8.48/2.15    ! [X3 : $o] : (($true = X3) <=> ($true = bG772(X3)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG772])])).
% 8.48/2.15  tff(f44243,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG772(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36158])).
% 8.48/2.15  tff(f61246,plain,(
% 8.48/2.15    ($true = bG773($true))),
% 8.48/2.15    inference(equality_resolution,[],[f44240])).
% 8.48/2.15  tff(f44240,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG773(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36157])).
% 8.48/2.15  tff(f36157,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG773(X0))) & (($true = bG773(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f20038])).
% 8.48/2.15  tff(f20038,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG773(X0)))),
% 8.48/2.15    inference(rectify,[],[f17144])).
% 8.48/2.15  tff(f17144,plain,(
% 8.48/2.15    ! [X4 : $o] : (($true = X4) <=> ($true = bG773(X4)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG773])])).
% 8.48/2.15  tff(f44241,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG773(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36157])).
% 8.48/2.15  tff(f61245,plain,(
% 8.48/2.15    ( ! [X4 : $o,X5 : $o] : (vEBT_Leaf(bG771(X5),$true) = iG774(one_one(nat),X4,X5)) )),
% 8.48/2.15    inference(equality_resolution,[],[f44238])).
% 8.48/2.15  tff(f44238,plain,(
% 8.48/2.15    ( ! [X3 : nat,X4 : $o,X5 : $o] : (vEBT_Leaf(bG771(X5),$true) = iG774(X3,X4,X5) | one_one(nat) != X3) )),
% 8.48/2.15    inference(cnf_transformation,[],[f26014])).
% 8.48/2.15  tff(f26014,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : $o,X2 : $o] : (iG774(X0,X1,X2) = vEBT_Leaf(bG772(X2),bG773(X1)) | one_one(nat) = X0) & ! [X3 : nat,X4 : $o,X5 : $o] : (vEBT_Leaf(bG771(X5),$true) = iG774(X3,X4,X5) | one_one(nat) != X3)),
% 8.48/2.15    inference(ennf_transformation,[],[f20037])).
% 8.48/2.15  tff(f20037,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : $o,X2 : $o] : (one_one(nat) != X0 => iG774(X0,X1,X2) = vEBT_Leaf(bG772(X2),bG773(X1))) & ! [X3 : nat,X4 : $o,X5 : $o] : (one_one(nat) = X3 => vEBT_Leaf(bG771(X5),$true) = iG774(X3,X4,X5))),
% 8.48/2.15    inference(flattening,[],[f20036])).
% 8.48/2.15  tff(f20036,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : $o,X2 : $o] : (~one_one(nat) = X0 => iG774(X0,X1,X2) = vEBT_Leaf(bG772(X2),bG773(X1))) & ! [X3 : nat,X4 : $o,X5 : $o] : (one_one(nat) = X3 => vEBT_Leaf(bG771(X5),$true) = iG774(X3,X4,X5))),
% 8.48/2.15    inference(rectify,[],[f17145])).
% 8.48/2.15  tff(f17145,plain,(
% 8.48/2.15    ! [X1 : nat,X4 : $o,X3 : $o] : (~one_one(nat) = X1 => vEBT_Leaf(bG772(X3),bG773(X4)) = iG774(X1,X4,X3)) & ! [X1 : nat,X4 : $o,X3 : $o] : (one_one(nat) = X1 => vEBT_Leaf(bG771(X3),$true) = iG774(X1,X4,X3))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG774])])).
% 8.48/2.15  tff(f44239,plain,(
% 8.48/2.15    ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG774(X0,X1,X2) = vEBT_Leaf(bG772(X2),bG773(X1)) | one_one(nat) = X0) )),
% 8.48/2.15    inference(cnf_transformation,[],[f26014])).
% 8.48/2.15  tff(f61244,plain,(
% 8.48/2.15    ( ! [X4 : $o,X5 : $o] : (vEBT_Leaf($true,bG770(X4)) = iG775(zero_zero(nat),X4,X5)) )),
% 8.48/2.15    inference(equality_resolution,[],[f44236])).
% 8.48/2.15  tff(f44236,plain,(
% 8.48/2.15    ( ! [X3 : nat,X4 : $o,X5 : $o] : (vEBT_Leaf($true,bG770(X4)) = iG775(X3,X4,X5) | zero_zero(nat) != X3) )),
% 8.48/2.15    inference(cnf_transformation,[],[f26013])).
% 8.48/2.15  tff(f26013,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : $o,X2 : $o] : (iG774(X0,X1,X2) = iG775(X0,X1,X2) | zero_zero(nat) = X0) & ! [X3 : nat,X4 : $o,X5 : $o] : (vEBT_Leaf($true,bG770(X4)) = iG775(X3,X4,X5) | zero_zero(nat) != X3)),
% 8.48/2.15    inference(ennf_transformation,[],[f20035])).
% 8.48/2.15  tff(f20035,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : $o,X2 : $o] : (zero_zero(nat) != X0 => iG774(X0,X1,X2) = iG775(X0,X1,X2)) & ! [X3 : nat,X4 : $o,X5 : $o] : (zero_zero(nat) = X3 => vEBT_Leaf($true,bG770(X4)) = iG775(X3,X4,X5))),
% 8.48/2.15    inference(flattening,[],[f20034])).
% 8.48/2.15  tff(f20034,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : $o,X2 : $o] : (~zero_zero(nat) = X0 => iG774(X0,X1,X2) = iG775(X0,X1,X2)) & ! [X3 : nat,X4 : $o,X5 : $o] : (zero_zero(nat) = X3 => vEBT_Leaf($true,bG770(X4)) = iG775(X3,X4,X5))),
% 8.48/2.15    inference(rectify,[],[f17146])).
% 8.48/2.15  tff(f17146,plain,(
% 8.48/2.15    ! [X1 : nat,X4 : $o,X3 : $o] : (~zero_zero(nat) = X1 => iG774(X1,X4,X3) = iG775(X1,X4,X3)) & ! [X1 : nat,X4 : $o,X3 : $o] : (zero_zero(nat) = X1 => vEBT_Leaf($true,bG770(X4)) = iG775(X1,X4,X3))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG775])])).
% 8.48/2.15  tff(f44237,plain,(
% 8.48/2.15    ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG774(X0,X1,X2) = iG775(X0,X1,X2) | zero_zero(nat) = X0) )),
% 8.48/2.15    inference(cnf_transformation,[],[f26013])).
% 8.48/2.15  tff(f61243,plain,(
% 8.48/2.15    ($true = bG776($true))),
% 8.48/2.15    inference(equality_resolution,[],[f44234])).
% 8.48/2.15  tff(f44234,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG776(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36156])).
% 8.48/2.15  tff(f36156,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG776(X0))) & (($true = bG776(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f20033])).
% 8.48/2.15  tff(f20033,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG776(X0)))),
% 8.48/2.15    inference(rectify,[],[f17147])).
% 8.48/2.15  tff(f17147,plain,(
% 8.48/2.15    ! [X3 : $o] : (($true = X3) <=> ($true = bG776(X3)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG776])])).
% 8.48/2.15  tff(f44235,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG776(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36156])).
% 8.48/2.15  tff(f61242,plain,(
% 8.48/2.15    ($true = bG777($true))),
% 8.48/2.15    inference(equality_resolution,[],[f44232])).
% 8.48/2.15  tff(f44232,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG777(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36155])).
% 8.48/2.15  tff(f36155,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG777(X0))) & (($true = bG777(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f20032])).
% 8.48/2.15  tff(f20032,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG777(X0)))),
% 8.48/2.15    inference(rectify,[],[f17148])).
% 8.48/2.15  tff(f17148,plain,(
% 8.48/2.15    ! [X4 : $o] : (($true = X4) <=> ($true = bG777(X4)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG777])])).
% 8.48/2.15  tff(f44233,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG777(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36155])).
% 8.48/2.15  tff(f44230,plain,(
% 8.48/2.15    ( ! [X2 : nat,X3 : nat] : (iG779(X2,X3) = X2 | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f26012])).
% 8.48/2.15  tff(f26012,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : (iG779(X0,X1) = X1 | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) & ! [X2 : nat,X3 : nat] : (iG779(X2,X3) = X2 | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)))),
% 8.48/2.15    inference(ennf_transformation,[],[f20031])).
% 8.48/2.15  tff(f20031,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) => iG779(X0,X1) = X1) & ! [X2 : nat,X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)) => iG779(X2,X3) = X2)),
% 8.48/2.15    inference(flattening,[],[f20030])).
% 8.48/2.15  tff(f20030,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) => iG779(X0,X1) = X1) & ! [X2 : nat,X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)) => iG779(X2,X3) = X2)),
% 8.48/2.15    inference(rectify,[],[f17149])).
% 8.48/2.15  tff(f17149,plain,(
% 8.48/2.15    ! [X14 : nat,X1 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X14)) => iG779(X14,X1) = X1) & ! [X14 : nat,X1 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X14)) => iG779(X14,X1) = X14)),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG779])])).
% 8.48/2.15  tff(f44231,plain,(
% 8.48/2.15    ( ! [X0 : nat,X1 : nat] : (iG779(X0,X1) = X1 | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f26012])).
% 8.48/2.15  tff(f44229,plain,(
% 8.48/2.15    ( ! [X0 : nat,X1 : nat] : (lG778(X0,X1) = iG779(X1,X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f20029])).
% 8.48/2.15  tff(f20029,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : lG778(X0,X1) = iG779(X1,X0)),
% 8.48/2.15    inference(rectify,[],[f17150])).
% 8.48/2.15  tff(f17150,plain,(
% 8.48/2.15    ! [X1 : nat,X14 : nat] : iG779(X14,X1) = lG778(X1,X14)),
% 8.48/2.15    introduced(fool_let_definition,[new_symbols(definition,[lG778])])).
% 8.48/2.15  tff(f44228,plain,(
% 8.48/2.15    ( ! [X2 : nat,X0 : nat,X1 : nat] : (vEBT_VEBT_high(lG778(X0,X1),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG780(X0,X1,X2)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f20028])).
% 8.48/2.15  tff(f20028,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : nat] : vEBT_VEBT_high(lG778(X0,X1),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG780(X0,X1,X2)),
% 8.48/2.15    inference(rectify,[],[f17151])).
% 8.48/2.15  tff(f17151,plain,(
% 8.48/2.15    ! [X1 : nat,X14 : nat,X16 : nat] : vEBT_VEBT_high(lG778(X1,X14),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X16)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG780(X1,X14,X16)),
% 8.48/2.15    introduced(fool_let_definition,[new_symbols(definition,[lG780])])).
% 8.48/2.15  tff(f44226,plain,(
% 8.48/2.15    ( ! [X2 : nat,X3 : nat] : (iG781(X2,X3) = X3 | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f26011])).
% 8.48/2.15  tff(f26011,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : (iG781(X0,X1) = X0 | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) & ! [X2 : nat,X3 : nat] : (iG781(X2,X3) = X3 | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)))),
% 8.48/2.15    inference(ennf_transformation,[],[f20027])).
% 8.48/2.15  tff(f20027,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) => iG781(X0,X1) = X0) & ! [X2 : nat,X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)) => iG781(X2,X3) = X3)),
% 8.48/2.15    inference(flattening,[],[f20026])).
% 8.48/2.15  tff(f20026,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) => iG781(X0,X1) = X0) & ! [X2 : nat,X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)) => iG781(X2,X3) = X3)),
% 8.48/2.15    inference(rectify,[],[f17152])).
% 8.48/2.15  tff(f17152,plain,(
% 8.48/2.15    ! [X14 : nat,X1 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X14)) => iG781(X14,X1) = X14) & ! [X14 : nat,X1 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X14)) => iG781(X14,X1) = X1)),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG781])])).
% 8.48/2.15  tff(f44227,plain,(
% 8.48/2.15    ( ! [X0 : nat,X1 : nat] : (iG781(X0,X1) = X0 | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f26011])).
% 8.48/2.15  tff(f44224,plain,(
% 8.48/2.15    ( ! [X8 : list(vEBT_VEBT),X6 : nat,X9 : vEBT_VEBT,X7 : nat,X5 : nat] : (vEBT_vebt_insert(X9,lG780(X7,X6,X5)) = iG782(X5,X6,X7,X8,X9) | ~vEBT_VEBT_minNull(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X8),lG780(X7,X6,X5)))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f26010])).
% 8.48/2.15  tff(f26010,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT),X4 : vEBT_VEBT] : (iG782(X0,X1,X2,X3,X4) = X4 | vEBT_VEBT_minNull(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG780(X2,X1,X0)))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : list(vEBT_VEBT),X9 : vEBT_VEBT] : (vEBT_vebt_insert(X9,lG780(X7,X6,X5)) = iG782(X5,X6,X7,X8,X9) | ~vEBT_VEBT_minNull(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X8),lG780(X7,X6,X5))))),
% 8.48/2.15    inference(ennf_transformation,[],[f20025])).
% 8.48/2.15  tff(f20025,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT),X4 : vEBT_VEBT] : (~vEBT_VEBT_minNull(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG780(X2,X1,X0))) => iG782(X0,X1,X2,X3,X4) = X4) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : list(vEBT_VEBT),X9 : vEBT_VEBT] : (vEBT_VEBT_minNull(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X8),lG780(X7,X6,X5))) => vEBT_vebt_insert(X9,lG780(X7,X6,X5)) = iG782(X5,X6,X7,X8,X9))),
% 8.48/2.15    inference(flattening,[],[f20024])).
% 8.48/2.15  tff(f20024,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT),X4 : vEBT_VEBT] : (~vEBT_VEBT_minNull(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG780(X2,X1,X0))) => iG782(X0,X1,X2,X3,X4) = X4) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : list(vEBT_VEBT),X9 : vEBT_VEBT] : (vEBT_VEBT_minNull(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X8),lG780(X7,X6,X5))) => vEBT_vebt_insert(X9,lG780(X7,X6,X5)) = iG782(X5,X6,X7,X8,X9))),
% 8.48/2.15    inference(rectify,[],[f17153])).
% 8.48/2.15  tff(f17153,plain,(
% 8.48/2.15    ! [X16 : nat,X14 : nat,X1 : nat,X17 : list(vEBT_VEBT),X18 : vEBT_VEBT] : (~vEBT_VEBT_minNull(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X17),lG780(X1,X14,X16))) => iG782(X16,X14,X1,X17,X18) = X18) & ! [X16 : nat,X14 : nat,X1 : nat,X17 : list(vEBT_VEBT),X18 : vEBT_VEBT] : (vEBT_VEBT_minNull(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X17),lG780(X1,X14,X16))) => vEBT_vebt_insert(X18,lG780(X1,X14,X16)) = iG782(X16,X14,X1,X17,X18))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG782])])).
% 8.48/2.15  tff(f44225,plain,(
% 8.48/2.15    ( ! [X2 : nat,X3 : list(vEBT_VEBT),X0 : nat,X1 : nat,X4 : vEBT_VEBT] : (iG782(X0,X1,X2,X3,X4) = X4 | vEBT_VEBT_minNull(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG780(X2,X1,X0)))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f26010])).
% 8.48/2.15  tff(f44220,plain,(
% 8.48/2.15    ( ! [X10 : nat,X11 : vEBT_VEBT,X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat] : (vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),iG781(X8,X7)),aa(nat,nat,aa(nat,fun(nat,nat),ord_max(nat),lG778(X7,X8)),X6))),aa(nat,nat,suc,aa(nat,nat,suc,X10)),list_update(vEBT_VEBT,X9,lG780(X7,X8,X10),vEBT_vebt_insert(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X9),lG780(X7,X8,X10)),vEBT_VEBT_low(lG778(X7,X8),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X10)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),iG782(X10,X8,X7,X9,X11)) = iG783(X6,X7,X8,X9,X10,X11) | X6 = X7 | X7 = X8 | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG780(X7,X8,X10)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X9)))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f26009])).
% 8.48/2.15  tff(f26009,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT),X4 : nat,X5 : vEBT_VEBT] : (vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X2),X0)),aa(nat,nat,suc,aa(nat,nat,suc,X4)),X3,X5) = iG783(X0,X1,X2,X3,X4,X5) | (X0 != X1 & X1 != X2 & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG780(X1,X2,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))) & ! [X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT),X10 : nat,X11 : vEBT_VEBT] : (vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),iG781(X8,X7)),aa(nat,nat,aa(nat,fun(nat,nat),ord_max(nat),lG778(X7,X8)),X6))),aa(nat,nat,suc,aa(nat,nat,suc,X10)),list_update(vEBT_VEBT,X9,lG780(X7,X8,X10),vEBT_vebt_insert(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X9),lG780(X7,X8,X10)),vEBT_VEBT_low(lG778(X7,X8),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X10)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),iG782(X10,X8,X7,X9,X11)) = iG783(X6,X7,X8,X9,X10,X11) | X6 = X7 | X7 = X8 | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG780(X7,X8,X10)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X9))))),
% 8.48/2.15    inference(flattening,[],[f26008])).
% 8.48/2.15  tff(f26008,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT),X4 : nat,X5 : vEBT_VEBT] : (vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X2),X0)),aa(nat,nat,suc,aa(nat,nat,suc,X4)),X3,X5) = iG783(X0,X1,X2,X3,X4,X5) | ((X0 != X1 & X1 != X2) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG780(X1,X2,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))) & ! [X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT),X10 : nat,X11 : vEBT_VEBT] : (vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),iG781(X8,X7)),aa(nat,nat,aa(nat,fun(nat,nat),ord_max(nat),lG778(X7,X8)),X6))),aa(nat,nat,suc,aa(nat,nat,suc,X10)),list_update(vEBT_VEBT,X9,lG780(X7,X8,X10),vEBT_vebt_insert(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X9),lG780(X7,X8,X10)),vEBT_VEBT_low(lG778(X7,X8),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X10)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),iG782(X10,X8,X7,X9,X11)) = iG783(X6,X7,X8,X9,X10,X11) | ((X6 = X7 | X7 = X8) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG780(X7,X8,X10)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X9)))))),
% 8.48/2.15    inference(ennf_transformation,[],[f20023])).
% 8.48/2.15  tff(f20023,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT),X4 : nat,X5 : vEBT_VEBT] : (~(~(X0 = X1 | X1 = X2) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG780(X1,X2,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3)))) => vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X2),X0)),aa(nat,nat,suc,aa(nat,nat,suc,X4)),X3,X5) = iG783(X0,X1,X2,X3,X4,X5)) & ! [X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT),X10 : nat,X11 : vEBT_VEBT] : ((~(X6 = X7 | X7 = X8) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG780(X7,X8,X10)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X9)))) => vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),iG781(X8,X7)),aa(nat,nat,aa(nat,fun(nat,nat),ord_max(nat),lG778(X7,X8)),X6))),aa(nat,nat,suc,aa(nat,nat,suc,X10)),list_update(vEBT_VEBT,X9,lG780(X7,X8,X10),vEBT_vebt_insert(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X9),lG780(X7,X8,X10)),vEBT_VEBT_low(lG778(X7,X8),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X10)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),iG782(X10,X8,X7,X9,X11)) = iG783(X6,X7,X8,X9,X10,X11))),
% 8.48/2.15    inference(rectify,[],[f17154])).
% 8.48/2.15  tff(f17154,plain,(
% 8.48/2.15    ! [X15 : nat,X1 : nat,X14 : nat,X17 : list(vEBT_VEBT),X16 : nat,X18 : vEBT_VEBT] : (~(~(X1 = X15 | X1 = X14) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG780(X1,X14,X16)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X17)))) => vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X14),X15)),aa(nat,nat,suc,aa(nat,nat,suc,X16)),X17,X18) = iG783(X15,X1,X14,X17,X16,X18)) & ! [X15 : nat,X1 : nat,X14 : nat,X17 : list(vEBT_VEBT),X16 : nat,X18 : vEBT_VEBT] : ((~(X1 = X15 | X1 = X14) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG780(X1,X14,X16)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X17)))) => vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),iG781(X14,X1)),aa(nat,nat,aa(nat,fun(nat,nat),ord_max(nat),lG778(X1,X14)),X15))),aa(nat,nat,suc,aa(nat,nat,suc,X16)),list_update(vEBT_VEBT,X17,lG780(X1,X14,X16),vEBT_vebt_insert(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X17),lG780(X1,X14,X16)),vEBT_VEBT_low(lG778(X1,X14),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X16)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),iG782(X16,X14,X1,X17,X18)) = iG783(X15,X1,X14,X17,X16,X18))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG783])])).
% 8.48/2.15  tff(f44221,plain,(
% 8.48/2.15    ( ! [X2 : nat,X3 : list(vEBT_VEBT),X0 : nat,X1 : nat,X4 : nat,X5 : vEBT_VEBT] : (vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X2),X0)),aa(nat,nat,suc,aa(nat,nat,suc,X4)),X3,X5) = iG783(X0,X1,X2,X3,X4,X5) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG780(X1,X2,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3)))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f26009])).
% 8.48/2.15  tff(f61241,plain,(
% 8.48/2.15    ( ! [X2 : nat,X3 : list(vEBT_VEBT),X0 : nat,X4 : nat,X5 : vEBT_VEBT] : (vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X2),X0)),aa(nat,nat,suc,aa(nat,nat,suc,X4)),X3,X5) = iG783(X0,X2,X2,X3,X4,X5)) )),
% 8.48/2.15    inference(equality_resolution,[],[f44222])).
% 8.48/2.15  tff(f44222,plain,(
% 8.48/2.15    ( ! [X2 : nat,X3 : list(vEBT_VEBT),X0 : nat,X1 : nat,X4 : nat,X5 : vEBT_VEBT] : (vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X2),X0)),aa(nat,nat,suc,aa(nat,nat,suc,X4)),X3,X5) = iG783(X0,X1,X2,X3,X4,X5) | X1 != X2) )),
% 8.48/2.15    inference(cnf_transformation,[],[f26009])).
% 8.48/2.15  tff(f61240,plain,(
% 8.48/2.15    ( ! [X2 : nat,X3 : list(vEBT_VEBT),X1 : nat,X4 : nat,X5 : vEBT_VEBT] : (vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X2),X1)),aa(nat,nat,suc,aa(nat,nat,suc,X4)),X3,X5) = iG783(X1,X1,X2,X3,X4,X5)) )),
% 8.48/2.15    inference(equality_resolution,[],[f44223])).
% 8.48/2.15  tff(f44223,plain,(
% 8.48/2.15    ( ! [X2 : nat,X3 : list(vEBT_VEBT),X0 : nat,X1 : nat,X4 : nat,X5 : vEBT_VEBT] : (vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X2),X0)),aa(nat,nat,suc,aa(nat,nat,suc,X4)),X3,X5) = iG783(X0,X1,X2,X3,X4,X5) | X0 != X1) )),
% 8.48/2.15    inference(cnf_transformation,[],[f26009])).
% 8.48/2.15  tff(f61239,plain,(
% 8.48/2.15    ($true = bG784($true))),
% 8.48/2.15    inference(equality_resolution,[],[f44218])).
% 8.48/2.15  tff(f44218,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG784(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36154])).
% 8.48/2.15  tff(f36154,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG784(X0))) & (($true = bG784(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f20022])).
% 8.48/2.15  tff(f20022,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG784(X0)))),
% 8.48/2.15    inference(rectify,[],[f17169])).
% 8.48/2.15  tff(f17169,plain,(
% 8.48/2.15    ! [X3 : $o] : (($true = X3) <=> ($true = bG784(X3)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG784])])).
% 8.48/2.15  tff(f44219,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG784(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36154])).
% 8.48/2.15  tff(f61238,plain,(
% 8.48/2.15    ($true = bG785($true))),
% 8.48/2.15    inference(equality_resolution,[],[f44216])).
% 8.48/2.15  tff(f44216,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG785(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36153])).
% 8.48/2.15  tff(f36153,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG785(X0))) & (($true = bG785(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f20021])).
% 8.48/2.15  tff(f20021,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG785(X0)))),
% 8.48/2.15    inference(rectify,[],[f17170])).
% 8.48/2.15  tff(f17170,plain,(
% 8.48/2.15    ! [X4 : $o] : (($true = X4) <=> ($true = bG785(X4)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG785])])).
% 8.48/2.15  tff(f44217,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG785(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36153])).
% 8.48/2.15  tff(f61237,plain,(
% 8.48/2.15    ($true = bG786($true))),
% 8.48/2.15    inference(equality_resolution,[],[f44214])).
% 8.48/2.15  tff(f44214,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG786(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36152])).
% 8.48/2.15  tff(f36152,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG786(X0))) & (($true = bG786(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f20020])).
% 8.48/2.15  tff(f20020,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG786(X0)))),
% 8.48/2.15    inference(rectify,[],[f17171])).
% 8.48/2.15  tff(f17171,plain,(
% 8.48/2.15    ! [X5 : $o] : (($true = X5) <=> ($true = bG786(X5)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG786])])).
% 8.48/2.15  tff(f44215,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG786(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36152])).
% 8.48/2.15  tff(f61236,plain,(
% 8.48/2.15    ($true = bG787($true))),
% 8.48/2.15    inference(equality_resolution,[],[f44212])).
% 8.48/2.15  tff(f44212,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG787(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36151])).
% 8.48/2.15  tff(f36151,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG787(X0))) & (($true = bG787(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f20019])).
% 8.48/2.15  tff(f20019,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG787(X0)))),
% 8.48/2.15    inference(rectify,[],[f17172])).
% 8.48/2.15  tff(f17172,plain,(
% 8.48/2.15    ! [X6 : $o] : (($true = X6) <=> ($true = bG787(X6)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG787])])).
% 8.48/2.15  tff(f44213,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG787(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36151])).
% 8.48/2.15  tff(f61235,plain,(
% 8.48/2.15    aa(nat,option(nat),some(nat),zero_zero(nat)) = iG788($true)),
% 8.48/2.15    inference(equality_resolution,[],[f44210])).
% 8.48/2.15  tff(f44210,plain,(
% 8.48/2.15    ( ! [X1 : $o] : (aa(nat,option(nat),some(nat),zero_zero(nat)) = iG788(X1) | ($true != X1)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f26007])).
% 8.48/2.15  tff(f26007,plain,(
% 8.48/2.15    ! [X0 : $o] : (none(nat) = iG788(X0) | ($true = X0)) & ! [X1 : $o] : (aa(nat,option(nat),some(nat),zero_zero(nat)) = iG788(X1) | ($true != X1))),
% 8.48/2.15    inference(ennf_transformation,[],[f20018])).
% 8.48/2.15  tff(f20018,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true != X0) => none(nat) = iG788(X0)) & ! [X1 : $o] : (($true = X1) => aa(nat,option(nat),some(nat),zero_zero(nat)) = iG788(X1))),
% 8.48/2.15    inference(flattening,[],[f20017])).
% 8.48/2.15  tff(f20017,plain,(
% 8.48/2.15    ! [X0 : $o] : (~($true = X0) => none(nat) = iG788(X0)) & ! [X1 : $o] : (($true = X1) => aa(nat,option(nat),some(nat),zero_zero(nat)) = iG788(X1))),
% 8.48/2.15    inference(rectify,[],[f17173])).
% 8.48/2.15  tff(f17173,plain,(
% 8.48/2.15    ! [X5 : $o] : (~($true = X5) => none(nat) = iG788(X5)) & ! [X5 : $o] : (($true = X5) => aa(nat,option(nat),some(nat),zero_zero(nat)) = iG788(X5))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG788])])).
% 8.48/2.15  tff(f44211,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (none(nat) = iG788(X0) | ($true = X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f26007])).
% 8.48/2.15  tff(f61234,plain,(
% 8.48/2.15    ($true = bG789($true))),
% 8.48/2.15    inference(equality_resolution,[],[f44208])).
% 8.48/2.15  tff(f44208,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG789(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36150])).
% 8.48/2.15  tff(f36150,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG789(X0))) & (($true = bG789(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f20016])).
% 8.48/2.15  tff(f20016,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG789(X0)))),
% 8.48/2.15    inference(rectify,[],[f17174])).
% 8.48/2.15  tff(f17174,plain,(
% 8.48/2.15    ! [X7 : $o] : (($true = X7) <=> ($true = bG789(X7)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG789])])).
% 8.48/2.15  tff(f44209,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG789(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36150])).
% 8.48/2.15  tff(f61233,plain,(
% 8.48/2.15    ($true = bG790($true))),
% 8.48/2.15    inference(equality_resolution,[],[f44206])).
% 8.48/2.15  tff(f44206,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG790(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36149])).
% 8.48/2.15  tff(f36149,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG790(X0))) & (($true = bG790(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f20015])).
% 8.48/2.15  tff(f20015,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG790(X0)))),
% 8.48/2.15    inference(rectify,[],[f17175])).
% 8.48/2.15  tff(f17175,plain,(
% 8.48/2.15    ! [X8 : $o] : (($true = X8) <=> ($true = bG790(X8)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG790])])).
% 8.48/2.15  tff(f44207,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG790(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36149])).
% 8.48/2.15  tff(f61232,plain,(
% 8.48/2.15    aa(nat,option(nat),some(nat),zero_zero(nat)) = iG791($true)),
% 8.48/2.15    inference(equality_resolution,[],[f44204])).
% 8.48/2.15  tff(f44204,plain,(
% 8.48/2.15    ( ! [X1 : $o] : (aa(nat,option(nat),some(nat),zero_zero(nat)) = iG791(X1) | ($true != X1)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f26006])).
% 8.48/2.15  tff(f26006,plain,(
% 8.48/2.15    ! [X0 : $o] : (none(nat) = iG791(X0) | ($true = X0)) & ! [X1 : $o] : (aa(nat,option(nat),some(nat),zero_zero(nat)) = iG791(X1) | ($true != X1))),
% 8.48/2.15    inference(ennf_transformation,[],[f20014])).
% 8.48/2.15  tff(f20014,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true != X0) => none(nat) = iG791(X0)) & ! [X1 : $o] : (($true = X1) => aa(nat,option(nat),some(nat),zero_zero(nat)) = iG791(X1))),
% 8.48/2.15    inference(flattening,[],[f20013])).
% 8.48/2.15  tff(f20013,plain,(
% 8.48/2.15    ! [X0 : $o] : (~($true = X0) => none(nat) = iG791(X0)) & ! [X1 : $o] : (($true = X1) => aa(nat,option(nat),some(nat),zero_zero(nat)) = iG791(X1))),
% 8.48/2.15    inference(rectify,[],[f17176])).
% 8.48/2.15  tff(f17176,plain,(
% 8.48/2.15    ! [X7 : $o] : (~($true = X7) => none(nat) = iG791(X7)) & ! [X7 : $o] : (($true = X7) => aa(nat,option(nat),some(nat),zero_zero(nat)) = iG791(X7))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG791])])).
% 8.48/2.15  tff(f44205,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (none(nat) = iG791(X0) | ($true = X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f26006])).
% 8.48/2.15  tff(f61231,plain,(
% 8.48/2.15    ( ! [X3 : $o] : (aa(nat,option(nat),some(nat),one_one(nat)) = iG792($true,X3)) )),
% 8.48/2.15    inference(equality_resolution,[],[f44202])).
% 8.48/2.15  tff(f44202,plain,(
% 8.48/2.15    ( ! [X2 : $o,X3 : $o] : (aa(nat,option(nat),some(nat),one_one(nat)) = iG792(X2,X3) | ($true != X2)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f26005])).
% 8.48/2.15  tff(f26005,plain,(
% 8.48/2.15    ! [X0 : $o,X1 : $o] : (iG791(X1) = iG792(X0,X1) | ($true = X0)) & ! [X2 : $o,X3 : $o] : (aa(nat,option(nat),some(nat),one_one(nat)) = iG792(X2,X3) | ($true != X2))),
% 8.48/2.15    inference(ennf_transformation,[],[f20012])).
% 8.48/2.15  tff(f20012,plain,(
% 8.48/2.15    ! [X0 : $o,X1 : $o] : (($true != X0) => iG791(X1) = iG792(X0,X1)) & ! [X2 : $o,X3 : $o] : (($true = X2) => aa(nat,option(nat),some(nat),one_one(nat)) = iG792(X2,X3))),
% 8.48/2.15    inference(flattening,[],[f20011])).
% 8.48/2.15  tff(f20011,plain,(
% 8.48/2.15    ! [X0 : $o,X1 : $o] : (~($true = X0) => iG791(X1) = iG792(X0,X1)) & ! [X2 : $o,X3 : $o] : (($true = X2) => aa(nat,option(nat),some(nat),one_one(nat)) = iG792(X2,X3))),
% 8.48/2.15    inference(rectify,[],[f17177])).
% 8.48/2.15  tff(f17177,plain,(
% 8.48/2.15    ! [X8 : $o,X7 : $o] : (~($true = X8) => iG791(X7) = iG792(X8,X7)) & ! [X8 : $o,X7 : $o] : (($true = X8) => aa(nat,option(nat),some(nat),one_one(nat)) = iG792(X8,X7))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG792])])).
% 8.48/2.15  tff(f44203,plain,(
% 8.48/2.15    ( ! [X0 : $o,X1 : $o] : (iG791(X1) = iG792(X0,X1) | ($true = X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f26005])).
% 8.48/2.15  tff(f44201,plain,(
% 8.48/2.15    ( ! [X0 : nat,X1 : nat] : (vEBT_VEBT_low(X0,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X1)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG793(X0,X1)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f20010])).
% 8.48/2.15  tff(f20010,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : vEBT_VEBT_low(X0,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X1)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG793(X0,X1)),
% 8.48/2.15    inference(rectify,[],[f17178])).
% 8.48/2.15  tff(f17178,plain,(
% 8.48/2.15    ! [X1 : nat,X21 : nat] : vEBT_VEBT_low(X1,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X21)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG793(X1,X21)),
% 8.48/2.15    introduced(fool_let_definition,[new_symbols(definition,[lG793])])).
% 8.48/2.15  tff(f44200,plain,(
% 8.48/2.15    ( ! [X0 : nat,X1 : nat] : (vEBT_VEBT_high(X0,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X1)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG794(X0,X1)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f20009])).
% 8.48/2.15  tff(f20009,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : vEBT_VEBT_high(X0,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X1)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG794(X0,X1)),
% 8.48/2.15    inference(rectify,[],[f17179])).
% 8.48/2.15  tff(f17179,plain,(
% 8.48/2.15    ! [X1 : nat,X21 : nat] : vEBT_VEBT_high(X1,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X21)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG794(X1,X21)),
% 8.48/2.15    introduced(fool_let_definition,[new_symbols(definition,[lG794])])).
% 8.48/2.15  tff(f44199,plain,(
% 8.48/2.15    ( ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X0),lG794(X1,X2))) = lG795(X0,X1,X2)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f20008])).
% 8.48/2.15  tff(f20008,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X0),lG794(X1,X2))) = lG795(X0,X1,X2)),
% 8.48/2.15    inference(rectify,[],[f17180])).
% 8.48/2.15  tff(f17180,plain,(
% 8.48/2.15    ! [X22 : list(vEBT_VEBT),X1 : nat,X21 : nat] : vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X22),lG794(X1,X21))) = lG795(X22,X1,X21)),
% 8.48/2.15    introduced(fool_let_definition,[new_symbols(definition,[lG795])])).
% 8.48/2.15  tff(f44198,plain,(
% 8.48/2.15    ( ! [X2 : nat,X0 : vEBT_VEBT,X1 : nat] : (vEBT_vebt_pred(X0,lG794(X1,X2)) = lG796(X0,X1,X2)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f20007])).
% 8.48/2.15  tff(f20007,plain,(
% 8.48/2.15    ! [X0 : vEBT_VEBT,X1 : nat,X2 : nat] : vEBT_vebt_pred(X0,lG794(X1,X2)) = lG796(X0,X1,X2)),
% 8.48/2.15    inference(rectify,[],[f17181])).
% 8.48/2.15  tff(f17181,plain,(
% 8.48/2.15    ! [X23 : vEBT_VEBT,X1 : nat,X21 : nat] : vEBT_vebt_pred(X23,lG794(X1,X21)) = lG796(X23,X1,X21)),
% 8.48/2.15    introduced(fool_let_definition,[new_symbols(definition,[lG796])])).
% 8.48/2.15  tff(f44196,plain,(
% 8.48/2.15    ( ! [X2 : nat,X3 : nat] : (aa(nat,option(nat),some(nat),X3) = iG797(X2,X3) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f26004])).
% 8.48/2.15  tff(f26004,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : (none(nat) = iG797(X0,X1) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) & ! [X2 : nat,X3 : nat] : (aa(nat,option(nat),some(nat),X3) = iG797(X2,X3) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)))),
% 8.48/2.15    inference(ennf_transformation,[],[f20006])).
% 8.48/2.15  tff(f20006,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) => none(nat) = iG797(X0,X1)) & ! [X2 : nat,X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)) => aa(nat,option(nat),some(nat),X3) = iG797(X2,X3))),
% 8.48/2.15    inference(flattening,[],[f20005])).
% 8.48/2.15  tff(f20005,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) => none(nat) = iG797(X0,X1)) & ! [X2 : nat,X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)) => aa(nat,option(nat),some(nat),X3) = iG797(X2,X3))),
% 8.48/2.15    inference(rectify,[],[f17182])).
% 8.48/2.15  tff(f17182,plain,(
% 8.48/2.15    ! [X1 : nat,X19 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X19),X1)) => none(nat) = iG797(X1,X19)) & ! [X1 : nat,X19 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X19),X1)) => aa(nat,option(nat),some(nat),X19) = iG797(X1,X19))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG797])])).
% 8.48/2.15  tff(f44197,plain,(
% 8.48/2.15    ( ! [X0 : nat,X1 : nat] : (none(nat) = iG797(X0,X1) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f26004])).
% 8.48/2.15  tff(f44194,plain,(
% 8.48/2.15    ( ! [X8 : list(vEBT_VEBT),X6 : nat,X9 : nat,X7 : vEBT_VEBT,X5 : nat] : (iG797(X6,X9) = iG798(X5,X6,X7,X8,X9) | none(nat) != lG796(X7,X6,X5)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f26003])).
% 8.48/2.15  tff(f26003,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X4 : nat] : (aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_add,aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_mul,aa(nat,option(nat),some(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X0)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),lG796(X2,X1,X0))),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),aa(option(nat),nat,the2(nat),lG796(X2,X1,X0))))) = iG798(X0,X1,X2,X3,X4) | none(nat) = lG796(X2,X1,X0)) & ! [X5 : nat,X6 : nat,X7 : vEBT_VEBT,X8 : list(vEBT_VEBT),X9 : nat] : (iG797(X6,X9) = iG798(X5,X6,X7,X8,X9) | none(nat) != lG796(X7,X6,X5))),
% 8.48/2.15    inference(ennf_transformation,[],[f20004])).
% 8.48/2.15  tff(f20004,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X4 : nat] : (none(nat) != lG796(X2,X1,X0) => aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_add,aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_mul,aa(nat,option(nat),some(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X0)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),lG796(X2,X1,X0))),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),aa(option(nat),nat,the2(nat),lG796(X2,X1,X0))))) = iG798(X0,X1,X2,X3,X4)) & ! [X5 : nat,X6 : nat,X7 : vEBT_VEBT,X8 : list(vEBT_VEBT),X9 : nat] : (none(nat) = lG796(X7,X6,X5) => iG797(X6,X9) = iG798(X5,X6,X7,X8,X9))),
% 8.48/2.15    inference(flattening,[],[f20003])).
% 8.48/2.15  tff(f20003,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X4 : nat] : (~none(nat) = lG796(X2,X1,X0) => aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_add,aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_mul,aa(nat,option(nat),some(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X0)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),lG796(X2,X1,X0))),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),aa(option(nat),nat,the2(nat),lG796(X2,X1,X0))))) = iG798(X0,X1,X2,X3,X4)) & ! [X5 : nat,X6 : nat,X7 : vEBT_VEBT,X8 : list(vEBT_VEBT),X9 : nat] : (none(nat) = lG796(X7,X6,X5) => iG797(X6,X9) = iG798(X5,X6,X7,X8,X9))),
% 8.48/2.15    inference(rectify,[],[f17183])).
% 8.48/2.15  tff(f17183,plain,(
% 8.48/2.15    ! [X21 : nat,X1 : nat,X23 : vEBT_VEBT,X22 : list(vEBT_VEBT),X19 : nat] : (~none(nat) = lG796(X23,X1,X21) => aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_add,aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_mul,aa(nat,option(nat),some(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X21)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),lG796(X23,X1,X21))),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X22),aa(option(nat),nat,the2(nat),lG796(X23,X1,X21))))) = iG798(X21,X1,X23,X22,X19)) & ! [X21 : nat,X1 : nat,X23 : vEBT_VEBT,X22 : list(vEBT_VEBT),X19 : nat] : (none(nat) = lG796(X23,X1,X21) => iG797(X1,X19) = iG798(X21,X1,X23,X22,X19))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG798])])).
% 8.48/2.15  tff(f44195,plain,(
% 8.48/2.15    ( ! [X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X0 : nat,X1 : nat,X4 : nat] : (aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_add,aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_mul,aa(nat,option(nat),some(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X0)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),lG796(X2,X1,X0))),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),aa(option(nat),nat,the2(nat),lG796(X2,X1,X0))))) = iG798(X0,X1,X2,X3,X4) | none(nat) = lG796(X2,X1,X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f26003])).
% 8.48/2.15  tff(f44191,plain,(
% 8.48/2.15    ( ! [X8 : vEBT_VEBT,X6 : nat,X9 : nat,X7 : list(vEBT_VEBT),X5 : nat] : (aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_add,aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_mul,aa(nat,option(nat),some(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X5)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(nat,option(nat),some(nat),lG794(X6,X5)))),vEBT_vebt_pred(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X7),lG794(X6,X5)),lG793(X6,X5))) = iG799(X5,X6,X7,X8,X9) | ~vEBT_VEBT_greater(aa(nat,option(nat),some(nat),lG793(X6,X5)),lG795(X7,X6,X5)) | none(nat) = lG795(X7,X6,X5)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f26002])).
% 8.48/2.15  tff(f26002,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X4 : nat] : (iG798(X0,X1,X3,X2,X4) = iG799(X0,X1,X2,X3,X4) | (vEBT_VEBT_greater(aa(nat,option(nat),some(nat),lG793(X1,X0)),lG795(X2,X1,X0)) & none(nat) != lG795(X2,X1,X0))) & ! [X5 : nat,X6 : nat,X7 : list(vEBT_VEBT),X8 : vEBT_VEBT,X9 : nat] : (aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_add,aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_mul,aa(nat,option(nat),some(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X5)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(nat,option(nat),some(nat),lG794(X6,X5)))),vEBT_vebt_pred(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X7),lG794(X6,X5)),lG793(X6,X5))) = iG799(X5,X6,X7,X8,X9) | ~vEBT_VEBT_greater(aa(nat,option(nat),some(nat),lG793(X6,X5)),lG795(X7,X6,X5)) | none(nat) = lG795(X7,X6,X5))),
% 8.48/2.15    inference(flattening,[],[f26001])).
% 8.48/2.15  tff(f26001,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X4 : nat] : (iG798(X0,X1,X3,X2,X4) = iG799(X0,X1,X2,X3,X4) | (vEBT_VEBT_greater(aa(nat,option(nat),some(nat),lG793(X1,X0)),lG795(X2,X1,X0)) & none(nat) != lG795(X2,X1,X0))) & ! [X5 : nat,X6 : nat,X7 : list(vEBT_VEBT),X8 : vEBT_VEBT,X9 : nat] : (aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_add,aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_mul,aa(nat,option(nat),some(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X5)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(nat,option(nat),some(nat),lG794(X6,X5)))),vEBT_vebt_pred(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X7),lG794(X6,X5)),lG793(X6,X5))) = iG799(X5,X6,X7,X8,X9) | (~vEBT_VEBT_greater(aa(nat,option(nat),some(nat),lG793(X6,X5)),lG795(X7,X6,X5)) | none(nat) = lG795(X7,X6,X5)))),
% 8.48/2.15    inference(ennf_transformation,[],[f20002])).
% 8.48/2.15  tff(f20002,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X4 : nat] : (~(vEBT_VEBT_greater(aa(nat,option(nat),some(nat),lG793(X1,X0)),lG795(X2,X1,X0)) & none(nat) != lG795(X2,X1,X0)) => iG798(X0,X1,X3,X2,X4) = iG799(X0,X1,X2,X3,X4)) & ! [X5 : nat,X6 : nat,X7 : list(vEBT_VEBT),X8 : vEBT_VEBT,X9 : nat] : ((vEBT_VEBT_greater(aa(nat,option(nat),some(nat),lG793(X6,X5)),lG795(X7,X6,X5)) & none(nat) != lG795(X7,X6,X5)) => aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_add,aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_mul,aa(nat,option(nat),some(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X5)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(nat,option(nat),some(nat),lG794(X6,X5)))),vEBT_vebt_pred(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X7),lG794(X6,X5)),lG793(X6,X5))) = iG799(X5,X6,X7,X8,X9))),
% 8.48/2.15    inference(rectify,[],[f17184])).
% 8.48/2.15  tff(f17184,plain,(
% 8.48/2.15    ! [X21 : nat,X1 : nat,X22 : list(vEBT_VEBT),X23 : vEBT_VEBT,X19 : nat] : (~(vEBT_VEBT_greater(aa(nat,option(nat),some(nat),lG793(X1,X21)),lG795(X22,X1,X21)) & none(nat) != lG795(X22,X1,X21)) => iG798(X21,X1,X23,X22,X19) = iG799(X21,X1,X22,X23,X19)) & ! [X21 : nat,X1 : nat,X22 : list(vEBT_VEBT),X23 : vEBT_VEBT,X19 : nat] : ((vEBT_VEBT_greater(aa(nat,option(nat),some(nat),lG793(X1,X21)),lG795(X22,X1,X21)) & none(nat) != lG795(X22,X1,X21)) => aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_add,aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_mul,aa(nat,option(nat),some(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X21)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(nat,option(nat),some(nat),lG794(X1,X21)))),vEBT_vebt_pred(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X22),lG794(X1,X21)),lG793(X1,X21))) = iG799(X21,X1,X22,X23,X19))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG799])])).
% 8.48/2.15  tff(f44192,plain,(
% 8.48/2.15    ( ! [X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X0 : nat,X1 : nat,X4 : nat] : (iG798(X0,X1,X3,X2,X4) = iG799(X0,X1,X2,X3,X4) | none(nat) != lG795(X2,X1,X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f26002])).
% 8.48/2.15  tff(f44193,plain,(
% 8.48/2.15    ( ! [X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X0 : nat,X1 : nat,X4 : nat] : (iG798(X0,X1,X3,X2,X4) = iG799(X0,X1,X2,X3,X4) | vEBT_VEBT_greater(aa(nat,option(nat),some(nat),lG793(X1,X0)),lG795(X2,X1,X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f26002])).
% 8.48/2.15  tff(f44189,plain,(
% 8.48/2.15    ( ! [X8 : vEBT_VEBT,X6 : nat,X9 : nat,X7 : nat,X5 : list(vEBT_VEBT)] : (iG799(X6,X7,X5,X8,X9) = iG800(X5,X6,X7,X8,X9) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG794(X7,X6)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X5)))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f26000])).
% 8.48/2.15  tff(f26000,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat,X3 : vEBT_VEBT,X4 : nat] : (none(nat) = iG800(X0,X1,X2,X3,X4) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG794(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) & ! [X5 : list(vEBT_VEBT),X6 : nat,X7 : nat,X8 : vEBT_VEBT,X9 : nat] : (iG799(X6,X7,X5,X8,X9) = iG800(X5,X6,X7,X8,X9) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG794(X7,X6)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X5))))),
% 8.48/2.15    inference(ennf_transformation,[],[f20001])).
% 8.48/2.15  tff(f20001,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat,X3 : vEBT_VEBT,X4 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG794(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => none(nat) = iG800(X0,X1,X2,X3,X4)) & ! [X5 : list(vEBT_VEBT),X6 : nat,X7 : nat,X8 : vEBT_VEBT,X9 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG794(X7,X6)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X5))) => iG799(X6,X7,X5,X8,X9) = iG800(X5,X6,X7,X8,X9))),
% 8.48/2.15    inference(flattening,[],[f20000])).
% 8.48/2.15  tff(f20000,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat,X3 : vEBT_VEBT,X4 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG794(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => none(nat) = iG800(X0,X1,X2,X3,X4)) & ! [X5 : list(vEBT_VEBT),X6 : nat,X7 : nat,X8 : vEBT_VEBT,X9 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG794(X7,X6)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X5))) => iG799(X6,X7,X5,X8,X9) = iG800(X5,X6,X7,X8,X9))),
% 8.48/2.15    inference(rectify,[],[f17185])).
% 8.48/2.15  tff(f17185,plain,(
% 8.48/2.15    ! [X22 : list(vEBT_VEBT),X21 : nat,X1 : nat,X23 : vEBT_VEBT,X19 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG794(X1,X21)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X22))) => none(nat) = iG800(X22,X21,X1,X23,X19)) & ! [X22 : list(vEBT_VEBT),X21 : nat,X1 : nat,X23 : vEBT_VEBT,X19 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG794(X1,X21)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X22))) => iG799(X21,X1,X22,X23,X19) = iG800(X22,X21,X1,X23,X19))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG800])])).
% 8.48/2.15  tff(f44190,plain,(
% 8.48/2.15    ( ! [X2 : nat,X3 : vEBT_VEBT,X0 : list(vEBT_VEBT),X1 : nat,X4 : nat] : (none(nat) = iG800(X0,X1,X2,X3,X4) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG794(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f26000])).
% 8.48/2.15  tff(f44187,plain,(
% 8.48/2.15    ( ! [X10 : vEBT_VEBT,X11 : nat,X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat] : (aa(nat,option(nat),some(nat),X7) = iG801(X6,X7,X8,X9,X10,X11) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X7),X6))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25999])).
% 8.48/2.15  tff(f25999,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT),X4 : vEBT_VEBT,X5 : nat] : (iG800(X3,X2,X0,X4,X5) = iG801(X0,X1,X2,X3,X4,X5) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) & ! [X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT),X10 : vEBT_VEBT,X11 : nat] : (aa(nat,option(nat),some(nat),X7) = iG801(X6,X7,X8,X9,X10,X11) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X7),X6)))),
% 8.48/2.15    inference(ennf_transformation,[],[f19999])).
% 8.48/2.15  tff(f19999,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT),X4 : vEBT_VEBT,X5 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) => iG800(X3,X2,X0,X4,X5) = iG801(X0,X1,X2,X3,X4,X5)) & ! [X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT),X10 : vEBT_VEBT,X11 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X7),X6)) => aa(nat,option(nat),some(nat),X7) = iG801(X6,X7,X8,X9,X10,X11))),
% 8.48/2.15    inference(flattening,[],[f19998])).
% 8.48/2.15  tff(f19998,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT),X4 : vEBT_VEBT,X5 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) => iG800(X3,X2,X0,X4,X5) = iG801(X0,X1,X2,X3,X4,X5)) & ! [X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT),X10 : vEBT_VEBT,X11 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X7),X6)) => aa(nat,option(nat),some(nat),X7) = iG801(X6,X7,X8,X9,X10,X11))),
% 8.48/2.15    inference(rectify,[],[f17186])).
% 8.48/2.15  tff(f17186,plain,(
% 8.48/2.15    ! [X1 : nat,X20 : nat,X21 : nat,X22 : list(vEBT_VEBT),X23 : vEBT_VEBT,X19 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X20),X1)) => iG800(X22,X21,X1,X23,X19) = iG801(X1,X20,X21,X22,X23,X19)) & ! [X1 : nat,X20 : nat,X21 : nat,X22 : list(vEBT_VEBT),X23 : vEBT_VEBT,X19 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X20),X1)) => aa(nat,option(nat),some(nat),X20) = iG801(X1,X20,X21,X22,X23,X19))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG801])])).
% 8.48/2.15  tff(f44188,plain,(
% 8.48/2.15    ( ! [X2 : nat,X3 : list(vEBT_VEBT),X0 : nat,X1 : nat,X4 : vEBT_VEBT,X5 : nat] : (iG800(X3,X2,X0,X4,X5) = iG801(X0,X1,X2,X3,X4,X5) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25999])).
% 8.48/2.15  tff(f61230,plain,(
% 8.48/2.15    ($true = bG802($true))),
% 8.48/2.15    inference(equality_resolution,[],[f44185])).
% 8.48/2.15  tff(f44185,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG802(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36148])).
% 8.48/2.15  tff(f36148,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG802(X0))) & (($true = bG802(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f19997])).
% 8.48/2.15  tff(f19997,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG802(X0)))),
% 8.48/2.15    inference(rectify,[],[f17189])).
% 8.48/2.15  tff(f17189,plain,(
% 8.48/2.15    ! [X3 : $o] : (($true = X3) <=> ($true = bG802(X3)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG802])])).
% 8.48/2.15  tff(f44186,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG802(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36148])).
% 8.48/2.15  tff(f61229,plain,(
% 8.48/2.15    ($true = bG803($true))),
% 8.48/2.15    inference(equality_resolution,[],[f44183])).
% 8.48/2.15  tff(f44183,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG803(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36147])).
% 8.48/2.15  tff(f36147,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG803(X0))) & (($true = bG803(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f19996])).
% 8.48/2.15  tff(f19996,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG803(X0)))),
% 8.48/2.15    inference(rectify,[],[f17190])).
% 8.48/2.15  tff(f17190,plain,(
% 8.48/2.15    ! [X4 : $o] : (($true = X4) <=> ($true = bG803(X4)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG803])])).
% 8.48/2.15  tff(f44184,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG803(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36147])).
% 8.48/2.15  tff(f61228,plain,(
% 8.48/2.15    ($true = bG804($true))),
% 8.48/2.15    inference(equality_resolution,[],[f44181])).
% 8.48/2.15  tff(f44181,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG804(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36146])).
% 8.48/2.15  tff(f36146,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG804(X0))) & (($true = bG804(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f19995])).
% 8.48/2.15  tff(f19995,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG804(X0)))),
% 8.48/2.15    inference(rectify,[],[f17191])).
% 8.48/2.15  tff(f17191,plain,(
% 8.48/2.15    ! [X3 : $o] : (($true = X3) <=> ($true = bG804(X3)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG804])])).
% 8.48/2.15  tff(f44182,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG804(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36146])).
% 8.48/2.15  tff(f61227,plain,(
% 8.48/2.15    ($true = bG805($true))),
% 8.48/2.15    inference(equality_resolution,[],[f44179])).
% 8.48/2.15  tff(f44179,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG805(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36145])).
% 8.48/2.15  tff(f36145,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG805(X0))) & (($true = bG805(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f19994])).
% 8.48/2.15  tff(f19994,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG805(X0)))),
% 8.48/2.15    inference(rectify,[],[f17192])).
% 8.48/2.15  tff(f17192,plain,(
% 8.48/2.15    ! [X4 : $o] : (($true = X4) <=> ($true = bG805(X4)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG805])])).
% 8.48/2.15  tff(f44180,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG805(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36145])).
% 8.48/2.15  tff(f61226,plain,(
% 8.48/2.15    ($true = bG806($true))),
% 8.48/2.15    inference(equality_resolution,[],[f44177])).
% 8.48/2.15  tff(f44177,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG806(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36144])).
% 8.48/2.15  tff(f36144,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG806(X0))) & (($true = bG806(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f19993])).
% 8.48/2.15  tff(f19993,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG806(X0)))),
% 8.48/2.15    inference(rectify,[],[f17193])).
% 8.48/2.15  tff(f17193,plain,(
% 8.48/2.15    ! [X5 : $o] : (($true = X5) <=> ($true = bG806(X5)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG806])])).
% 8.48/2.15  tff(f44178,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG806(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36144])).
% 8.48/2.15  tff(f61225,plain,(
% 8.48/2.15    ($true = bG807($true))),
% 8.48/2.15    inference(equality_resolution,[],[f44175])).
% 8.48/2.15  tff(f44175,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG807(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36143])).
% 8.48/2.15  tff(f36143,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG807(X0))) & (($true = bG807(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f19992])).
% 8.48/2.15  tff(f19992,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG807(X0)))),
% 8.48/2.15    inference(rectify,[],[f17194])).
% 8.48/2.15  tff(f17194,plain,(
% 8.48/2.15    ! [X6 : $o] : (($true = X6) <=> ($true = bG807(X6)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG807])])).
% 8.48/2.15  tff(f44176,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG807(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36143])).
% 8.48/2.15  tff(f61224,plain,(
% 8.48/2.15    aa(nat,option(nat),some(nat),zero_zero(nat)) = iG808($true)),
% 8.48/2.15    inference(equality_resolution,[],[f44173])).
% 8.48/2.15  tff(f44173,plain,(
% 8.48/2.15    ( ! [X1 : $o] : (aa(nat,option(nat),some(nat),zero_zero(nat)) = iG808(X1) | ($true != X1)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25998])).
% 8.48/2.15  tff(f25998,plain,(
% 8.48/2.15    ! [X0 : $o] : (none(nat) = iG808(X0) | ($true = X0)) & ! [X1 : $o] : (aa(nat,option(nat),some(nat),zero_zero(nat)) = iG808(X1) | ($true != X1))),
% 8.48/2.15    inference(ennf_transformation,[],[f19991])).
% 8.48/2.15  tff(f19991,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true != X0) => none(nat) = iG808(X0)) & ! [X1 : $o] : (($true = X1) => aa(nat,option(nat),some(nat),zero_zero(nat)) = iG808(X1))),
% 8.48/2.15    inference(flattening,[],[f19990])).
% 8.48/2.15  tff(f19990,plain,(
% 8.48/2.15    ! [X0 : $o] : (~($true = X0) => none(nat) = iG808(X0)) & ! [X1 : $o] : (($true = X1) => aa(nat,option(nat),some(nat),zero_zero(nat)) = iG808(X1))),
% 8.48/2.15    inference(rectify,[],[f17195])).
% 8.48/2.15  tff(f17195,plain,(
% 8.48/2.15    ! [X5 : $o] : (~($true = X5) => none(nat) = iG808(X5)) & ! [X5 : $o] : (($true = X5) => aa(nat,option(nat),some(nat),zero_zero(nat)) = iG808(X5))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG808])])).
% 8.48/2.15  tff(f44174,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (none(nat) = iG808(X0) | ($true = X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25998])).
% 8.48/2.15  tff(f61223,plain,(
% 8.48/2.15    ($true = bG809($true))),
% 8.48/2.15    inference(equality_resolution,[],[f44171])).
% 8.48/2.15  tff(f44171,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG809(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36142])).
% 8.48/2.15  tff(f36142,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG809(X0))) & (($true = bG809(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f19989])).
% 8.48/2.15  tff(f19989,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG809(X0)))),
% 8.48/2.15    inference(rectify,[],[f17196])).
% 8.48/2.15  tff(f17196,plain,(
% 8.48/2.15    ! [X5 : $o] : (($true = X5) <=> ($true = bG809(X5)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG809])])).
% 8.48/2.15  tff(f44172,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG809(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36142])).
% 8.48/2.15  tff(f61222,plain,(
% 8.48/2.15    ($true = bG810($true))),
% 8.48/2.15    inference(equality_resolution,[],[f44169])).
% 8.48/2.15  tff(f44169,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG810(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36141])).
% 8.48/2.15  tff(f36141,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG810(X0))) & (($true = bG810(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f19988])).
% 8.48/2.15  tff(f19988,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG810(X0)))),
% 8.48/2.15    inference(rectify,[],[f17197])).
% 8.48/2.15  tff(f17197,plain,(
% 8.48/2.15    ! [X6 : $o] : (($true = X6) <=> ($true = bG810(X6)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG810])])).
% 8.48/2.15  tff(f44170,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG810(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36141])).
% 8.48/2.15  tff(f61221,plain,(
% 8.48/2.15    ($true = bG811($true))),
% 8.48/2.15    inference(equality_resolution,[],[f44167])).
% 8.48/2.15  tff(f44167,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG811(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36140])).
% 8.48/2.15  tff(f36140,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG811(X0))) & (($true = bG811(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f19987])).
% 8.48/2.15  tff(f19987,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG811(X0)))),
% 8.48/2.15    inference(rectify,[],[f17198])).
% 8.48/2.15  tff(f17198,plain,(
% 8.48/2.15    ! [X7 : $o] : (($true = X7) <=> ($true = bG811(X7)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG811])])).
% 8.48/2.15  tff(f44168,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG811(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36140])).
% 8.48/2.15  tff(f61220,plain,(
% 8.48/2.15    ($true = bG812($true))),
% 8.48/2.15    inference(equality_resolution,[],[f44165])).
% 8.48/2.15  tff(f44165,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG812(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36139])).
% 8.48/2.15  tff(f36139,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG812(X0))) & (($true = bG812(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f19986])).
% 8.48/2.15  tff(f19986,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG812(X0)))),
% 8.48/2.15    inference(rectify,[],[f17199])).
% 8.48/2.15  tff(f17199,plain,(
% 8.48/2.15    ! [X8 : $o] : (($true = X8) <=> ($true = bG812(X8)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG812])])).
% 8.48/2.15  tff(f44166,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG812(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36139])).
% 8.48/2.15  tff(f61219,plain,(
% 8.48/2.15    aa(nat,option(nat),some(nat),zero_zero(nat)) = iG813($true)),
% 8.48/2.15    inference(equality_resolution,[],[f44163])).
% 8.48/2.15  tff(f44163,plain,(
% 8.48/2.15    ( ! [X1 : $o] : (aa(nat,option(nat),some(nat),zero_zero(nat)) = iG813(X1) | ($true != X1)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25997])).
% 8.48/2.15  tff(f25997,plain,(
% 8.48/2.15    ! [X0 : $o] : (none(nat) = iG813(X0) | ($true = X0)) & ! [X1 : $o] : (aa(nat,option(nat),some(nat),zero_zero(nat)) = iG813(X1) | ($true != X1))),
% 8.48/2.15    inference(ennf_transformation,[],[f19985])).
% 8.48/2.15  tff(f19985,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true != X0) => none(nat) = iG813(X0)) & ! [X1 : $o] : (($true = X1) => aa(nat,option(nat),some(nat),zero_zero(nat)) = iG813(X1))),
% 8.48/2.15    inference(flattening,[],[f19984])).
% 8.48/2.15  tff(f19984,plain,(
% 8.48/2.15    ! [X0 : $o] : (~($true = X0) => none(nat) = iG813(X0)) & ! [X1 : $o] : (($true = X1) => aa(nat,option(nat),some(nat),zero_zero(nat)) = iG813(X1))),
% 8.48/2.15    inference(rectify,[],[f17200])).
% 8.48/2.15  tff(f17200,plain,(
% 8.48/2.15    ! [X7 : $o] : (~($true = X7) => none(nat) = iG813(X7)) & ! [X7 : $o] : (($true = X7) => aa(nat,option(nat),some(nat),zero_zero(nat)) = iG813(X7))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG813])])).
% 8.48/2.15  tff(f44164,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (none(nat) = iG813(X0) | ($true = X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25997])).
% 8.48/2.15  tff(f61218,plain,(
% 8.48/2.15    ( ! [X3 : $o] : (aa(nat,option(nat),some(nat),one_one(nat)) = iG814($true,X3)) )),
% 8.48/2.15    inference(equality_resolution,[],[f44161])).
% 8.48/2.15  tff(f44161,plain,(
% 8.48/2.15    ( ! [X2 : $o,X3 : $o] : (aa(nat,option(nat),some(nat),one_one(nat)) = iG814(X2,X3) | ($true != X2)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25996])).
% 8.48/2.15  tff(f25996,plain,(
% 8.48/2.15    ! [X0 : $o,X1 : $o] : (iG813(X1) = iG814(X0,X1) | ($true = X0)) & ! [X2 : $o,X3 : $o] : (aa(nat,option(nat),some(nat),one_one(nat)) = iG814(X2,X3) | ($true != X2))),
% 8.48/2.15    inference(ennf_transformation,[],[f19983])).
% 8.48/2.15  tff(f19983,plain,(
% 8.48/2.15    ! [X0 : $o,X1 : $o] : (($true != X0) => iG813(X1) = iG814(X0,X1)) & ! [X2 : $o,X3 : $o] : (($true = X2) => aa(nat,option(nat),some(nat),one_one(nat)) = iG814(X2,X3))),
% 8.48/2.15    inference(flattening,[],[f19982])).
% 8.48/2.15  tff(f19982,plain,(
% 8.48/2.15    ! [X0 : $o,X1 : $o] : (~($true = X0) => iG813(X1) = iG814(X0,X1)) & ! [X2 : $o,X3 : $o] : (($true = X2) => aa(nat,option(nat),some(nat),one_one(nat)) = iG814(X2,X3))),
% 8.48/2.15    inference(rectify,[],[f17201])).
% 8.48/2.15  tff(f17201,plain,(
% 8.48/2.15    ! [X8 : $o,X7 : $o] : (~($true = X8) => iG813(X7) = iG814(X8,X7)) & ! [X8 : $o,X7 : $o] : (($true = X8) => aa(nat,option(nat),some(nat),one_one(nat)) = iG814(X8,X7))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG814])])).
% 8.48/2.15  tff(f44162,plain,(
% 8.48/2.15    ( ! [X0 : $o,X1 : $o] : (iG813(X1) = iG814(X0,X1) | ($true = X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25996])).
% 8.48/2.15  tff(f61217,plain,(
% 8.48/2.15    ($true = bG815($true))),
% 8.48/2.15    inference(equality_resolution,[],[f44159])).
% 8.48/2.15  tff(f44159,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG815(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36138])).
% 8.48/2.15  tff(f36138,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG815(X0))) & (($true = bG815(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f19981])).
% 8.48/2.15  tff(f19981,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG815(X0)))),
% 8.48/2.15    inference(rectify,[],[f17202])).
% 8.48/2.15  tff(f17202,plain,(
% 8.48/2.15    ! [X7 : $o] : (($true = X7) <=> ($true = bG815(X7)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG815])])).
% 8.48/2.15  tff(f44160,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG815(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36138])).
% 8.48/2.15  tff(f61216,plain,(
% 8.48/2.15    ($true = bG816($true))),
% 8.48/2.15    inference(equality_resolution,[],[f44157])).
% 8.48/2.15  tff(f44157,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG816(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36137])).
% 8.48/2.15  tff(f36137,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG816(X0))) & (($true = bG816(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f19980])).
% 8.48/2.15  tff(f19980,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG816(X0)))),
% 8.48/2.15    inference(rectify,[],[f17203])).
% 8.48/2.15  tff(f17203,plain,(
% 8.48/2.15    ! [X8 : $o] : (($true = X8) <=> ($true = bG816(X8)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG816])])).
% 8.48/2.15  tff(f44158,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG816(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36137])).
% 8.48/2.15  tff(f44156,plain,(
% 8.48/2.15    ( ! [X0 : nat,X1 : nat] : (vEBT_VEBT_low(X0,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X1)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG817(X0,X1)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f19979])).
% 8.48/2.15  tff(f19979,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : vEBT_VEBT_low(X0,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X1)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG817(X0,X1)),
% 8.48/2.15    inference(rectify,[],[f17204])).
% 8.48/2.15  tff(f17204,plain,(
% 8.48/2.15    ! [X1 : nat,X21 : nat] : vEBT_VEBT_low(X1,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X21)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG817(X1,X21)),
% 8.48/2.15    introduced(fool_let_definition,[new_symbols(definition,[lG817])])).
% 8.48/2.15  tff(f44155,plain,(
% 8.48/2.15    ( ! [X0 : nat,X1 : nat] : (vEBT_VEBT_high(X0,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X1)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG818(X0,X1)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f19978])).
% 8.48/2.15  tff(f19978,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : vEBT_VEBT_high(X0,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X1)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG818(X0,X1)),
% 8.48/2.15    inference(rectify,[],[f17205])).
% 8.48/2.15  tff(f17205,plain,(
% 8.48/2.15    ! [X1 : nat,X21 : nat] : vEBT_VEBT_high(X1,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X21)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG818(X1,X21)),
% 8.48/2.15    introduced(fool_let_definition,[new_symbols(definition,[lG818])])).
% 8.48/2.15  tff(f44154,plain,(
% 8.48/2.15    ( ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X0),lG818(X1,X2))) = lG819(X0,X1,X2)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f19977])).
% 8.48/2.15  tff(f19977,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X0),lG818(X1,X2))) = lG819(X0,X1,X2)),
% 8.48/2.15    inference(rectify,[],[f17206])).
% 8.48/2.15  tff(f17206,plain,(
% 8.48/2.15    ! [X22 : list(vEBT_VEBT),X1 : nat,X21 : nat] : vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X22),lG818(X1,X21))) = lG819(X22,X1,X21)),
% 8.48/2.15    introduced(fool_let_definition,[new_symbols(definition,[lG819])])).
% 8.48/2.15  tff(f44153,plain,(
% 8.48/2.15    ( ! [X2 : nat,X0 : vEBT_VEBT,X1 : nat] : (vEBT_vebt_pred(X0,lG818(X1,X2)) = lG820(X0,X1,X2)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f19976])).
% 8.48/2.15  tff(f19976,plain,(
% 8.48/2.15    ! [X0 : vEBT_VEBT,X1 : nat,X2 : nat] : vEBT_vebt_pred(X0,lG818(X1,X2)) = lG820(X0,X1,X2)),
% 8.48/2.15    inference(rectify,[],[f17207])).
% 8.48/2.15  tff(f17207,plain,(
% 8.48/2.15    ! [X23 : vEBT_VEBT,X1 : nat,X21 : nat] : vEBT_vebt_pred(X23,lG818(X1,X21)) = lG820(X23,X1,X21)),
% 8.48/2.15    introduced(fool_let_definition,[new_symbols(definition,[lG820])])).
% 8.48/2.15  tff(f44151,plain,(
% 8.48/2.15    ( ! [X2 : nat,X3 : nat] : (aa(nat,option(nat),some(nat),X3) = iG821(X2,X3) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25995])).
% 8.48/2.15  tff(f25995,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : (none(nat) = iG821(X0,X1) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) & ! [X2 : nat,X3 : nat] : (aa(nat,option(nat),some(nat),X3) = iG821(X2,X3) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)))),
% 8.48/2.15    inference(ennf_transformation,[],[f19975])).
% 8.48/2.15  tff(f19975,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) => none(nat) = iG821(X0,X1)) & ! [X2 : nat,X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)) => aa(nat,option(nat),some(nat),X3) = iG821(X2,X3))),
% 8.48/2.15    inference(flattening,[],[f19974])).
% 8.48/2.15  tff(f19974,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) => none(nat) = iG821(X0,X1)) & ! [X2 : nat,X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)) => aa(nat,option(nat),some(nat),X3) = iG821(X2,X3))),
% 8.48/2.15    inference(rectify,[],[f17208])).
% 8.48/2.15  tff(f17208,plain,(
% 8.48/2.15    ! [X1 : nat,X19 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X19),X1)) => none(nat) = iG821(X1,X19)) & ! [X1 : nat,X19 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X19),X1)) => aa(nat,option(nat),some(nat),X19) = iG821(X1,X19))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG821])])).
% 8.48/2.15  tff(f44152,plain,(
% 8.48/2.15    ( ! [X0 : nat,X1 : nat] : (none(nat) = iG821(X0,X1) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25995])).
% 8.48/2.15  tff(f44149,plain,(
% 8.48/2.15    ( ! [X8 : list(vEBT_VEBT),X6 : nat,X9 : nat,X7 : vEBT_VEBT,X5 : nat] : (iG821(X6,X9) = iG822(X5,X6,X7,X8,X9) | none(nat) != lG820(X7,X6,X5)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25994])).
% 8.48/2.15  tff(f25994,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X4 : nat] : (aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_add,aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_mul,aa(nat,option(nat),some(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X0)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),lG820(X2,X1,X0))),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),aa(option(nat),nat,the2(nat),lG820(X2,X1,X0))))) = iG822(X0,X1,X2,X3,X4) | none(nat) = lG820(X2,X1,X0)) & ! [X5 : nat,X6 : nat,X7 : vEBT_VEBT,X8 : list(vEBT_VEBT),X9 : nat] : (iG821(X6,X9) = iG822(X5,X6,X7,X8,X9) | none(nat) != lG820(X7,X6,X5))),
% 8.48/2.15    inference(ennf_transformation,[],[f19973])).
% 8.48/2.15  tff(f19973,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X4 : nat] : (none(nat) != lG820(X2,X1,X0) => aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_add,aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_mul,aa(nat,option(nat),some(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X0)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),lG820(X2,X1,X0))),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),aa(option(nat),nat,the2(nat),lG820(X2,X1,X0))))) = iG822(X0,X1,X2,X3,X4)) & ! [X5 : nat,X6 : nat,X7 : vEBT_VEBT,X8 : list(vEBT_VEBT),X9 : nat] : (none(nat) = lG820(X7,X6,X5) => iG821(X6,X9) = iG822(X5,X6,X7,X8,X9))),
% 8.48/2.15    inference(flattening,[],[f19972])).
% 8.48/2.15  tff(f19972,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X4 : nat] : (~none(nat) = lG820(X2,X1,X0) => aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_add,aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_mul,aa(nat,option(nat),some(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X0)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),lG820(X2,X1,X0))),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),aa(option(nat),nat,the2(nat),lG820(X2,X1,X0))))) = iG822(X0,X1,X2,X3,X4)) & ! [X5 : nat,X6 : nat,X7 : vEBT_VEBT,X8 : list(vEBT_VEBT),X9 : nat] : (none(nat) = lG820(X7,X6,X5) => iG821(X6,X9) = iG822(X5,X6,X7,X8,X9))),
% 8.48/2.15    inference(rectify,[],[f17209])).
% 8.48/2.15  tff(f17209,plain,(
% 8.48/2.15    ! [X21 : nat,X1 : nat,X23 : vEBT_VEBT,X22 : list(vEBT_VEBT),X19 : nat] : (~none(nat) = lG820(X23,X1,X21) => aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_add,aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_mul,aa(nat,option(nat),some(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X21)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),lG820(X23,X1,X21))),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X22),aa(option(nat),nat,the2(nat),lG820(X23,X1,X21))))) = iG822(X21,X1,X23,X22,X19)) & ! [X21 : nat,X1 : nat,X23 : vEBT_VEBT,X22 : list(vEBT_VEBT),X19 : nat] : (none(nat) = lG820(X23,X1,X21) => iG821(X1,X19) = iG822(X21,X1,X23,X22,X19))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG822])])).
% 8.48/2.15  tff(f44150,plain,(
% 8.48/2.15    ( ! [X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X0 : nat,X1 : nat,X4 : nat] : (aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_add,aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_mul,aa(nat,option(nat),some(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X0)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),lG820(X2,X1,X0))),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),aa(option(nat),nat,the2(nat),lG820(X2,X1,X0))))) = iG822(X0,X1,X2,X3,X4) | none(nat) = lG820(X2,X1,X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25994])).
% 8.48/2.15  tff(f44146,plain,(
% 8.48/2.15    ( ! [X8 : vEBT_VEBT,X6 : nat,X9 : nat,X7 : list(vEBT_VEBT),X5 : nat] : (aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_add,aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_mul,aa(nat,option(nat),some(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X5)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(nat,option(nat),some(nat),lG818(X6,X5)))),vEBT_vebt_pred(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X7),lG818(X6,X5)),lG817(X6,X5))) = iG823(X5,X6,X7,X8,X9) | ~vEBT_VEBT_greater(aa(nat,option(nat),some(nat),lG817(X6,X5)),lG819(X7,X6,X5)) | none(nat) = lG819(X7,X6,X5)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25993])).
% 8.48/2.15  tff(f25993,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X4 : nat] : (iG822(X0,X1,X3,X2,X4) = iG823(X0,X1,X2,X3,X4) | (vEBT_VEBT_greater(aa(nat,option(nat),some(nat),lG817(X1,X0)),lG819(X2,X1,X0)) & none(nat) != lG819(X2,X1,X0))) & ! [X5 : nat,X6 : nat,X7 : list(vEBT_VEBT),X8 : vEBT_VEBT,X9 : nat] : (aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_add,aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_mul,aa(nat,option(nat),some(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X5)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(nat,option(nat),some(nat),lG818(X6,X5)))),vEBT_vebt_pred(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X7),lG818(X6,X5)),lG817(X6,X5))) = iG823(X5,X6,X7,X8,X9) | ~vEBT_VEBT_greater(aa(nat,option(nat),some(nat),lG817(X6,X5)),lG819(X7,X6,X5)) | none(nat) = lG819(X7,X6,X5))),
% 8.48/2.15    inference(flattening,[],[f25992])).
% 8.48/2.15  tff(f25992,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X4 : nat] : (iG822(X0,X1,X3,X2,X4) = iG823(X0,X1,X2,X3,X4) | (vEBT_VEBT_greater(aa(nat,option(nat),some(nat),lG817(X1,X0)),lG819(X2,X1,X0)) & none(nat) != lG819(X2,X1,X0))) & ! [X5 : nat,X6 : nat,X7 : list(vEBT_VEBT),X8 : vEBT_VEBT,X9 : nat] : (aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_add,aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_mul,aa(nat,option(nat),some(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X5)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(nat,option(nat),some(nat),lG818(X6,X5)))),vEBT_vebt_pred(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X7),lG818(X6,X5)),lG817(X6,X5))) = iG823(X5,X6,X7,X8,X9) | (~vEBT_VEBT_greater(aa(nat,option(nat),some(nat),lG817(X6,X5)),lG819(X7,X6,X5)) | none(nat) = lG819(X7,X6,X5)))),
% 8.48/2.15    inference(ennf_transformation,[],[f19971])).
% 8.48/2.15  tff(f19971,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X4 : nat] : (~(vEBT_VEBT_greater(aa(nat,option(nat),some(nat),lG817(X1,X0)),lG819(X2,X1,X0)) & none(nat) != lG819(X2,X1,X0)) => iG822(X0,X1,X3,X2,X4) = iG823(X0,X1,X2,X3,X4)) & ! [X5 : nat,X6 : nat,X7 : list(vEBT_VEBT),X8 : vEBT_VEBT,X9 : nat] : ((vEBT_VEBT_greater(aa(nat,option(nat),some(nat),lG817(X6,X5)),lG819(X7,X6,X5)) & none(nat) != lG819(X7,X6,X5)) => aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_add,aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_mul,aa(nat,option(nat),some(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X5)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(nat,option(nat),some(nat),lG818(X6,X5)))),vEBT_vebt_pred(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X7),lG818(X6,X5)),lG817(X6,X5))) = iG823(X5,X6,X7,X8,X9))),
% 8.48/2.15    inference(rectify,[],[f17210])).
% 8.48/2.15  tff(f17210,plain,(
% 8.48/2.15    ! [X21 : nat,X1 : nat,X22 : list(vEBT_VEBT),X23 : vEBT_VEBT,X19 : nat] : (~(vEBT_VEBT_greater(aa(nat,option(nat),some(nat),lG817(X1,X21)),lG819(X22,X1,X21)) & none(nat) != lG819(X22,X1,X21)) => iG822(X21,X1,X23,X22,X19) = iG823(X21,X1,X22,X23,X19)) & ! [X21 : nat,X1 : nat,X22 : list(vEBT_VEBT),X23 : vEBT_VEBT,X19 : nat] : ((vEBT_VEBT_greater(aa(nat,option(nat),some(nat),lG817(X1,X21)),lG819(X22,X1,X21)) & none(nat) != lG819(X22,X1,X21)) => aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_add,aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_mul,aa(nat,option(nat),some(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X21)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(nat,option(nat),some(nat),lG818(X1,X21)))),vEBT_vebt_pred(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X22),lG818(X1,X21)),lG817(X1,X21))) = iG823(X21,X1,X22,X23,X19))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG823])])).
% 8.48/2.15  tff(f44147,plain,(
% 8.48/2.15    ( ! [X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X0 : nat,X1 : nat,X4 : nat] : (iG822(X0,X1,X3,X2,X4) = iG823(X0,X1,X2,X3,X4) | none(nat) != lG819(X2,X1,X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25993])).
% 8.48/2.15  tff(f44148,plain,(
% 8.48/2.15    ( ! [X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X0 : nat,X1 : nat,X4 : nat] : (iG822(X0,X1,X3,X2,X4) = iG823(X0,X1,X2,X3,X4) | vEBT_VEBT_greater(aa(nat,option(nat),some(nat),lG817(X1,X0)),lG819(X2,X1,X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25993])).
% 8.48/2.15  tff(f44144,plain,(
% 8.48/2.15    ( ! [X8 : vEBT_VEBT,X6 : nat,X9 : nat,X7 : nat,X5 : list(vEBT_VEBT)] : (iG823(X6,X7,X5,X8,X9) = iG824(X5,X6,X7,X8,X9) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG818(X7,X6)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X5)))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25991])).
% 8.48/2.15  tff(f25991,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat,X3 : vEBT_VEBT,X4 : nat] : (none(nat) = iG824(X0,X1,X2,X3,X4) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG818(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) & ! [X5 : list(vEBT_VEBT),X6 : nat,X7 : nat,X8 : vEBT_VEBT,X9 : nat] : (iG823(X6,X7,X5,X8,X9) = iG824(X5,X6,X7,X8,X9) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG818(X7,X6)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X5))))),
% 8.48/2.15    inference(ennf_transformation,[],[f19970])).
% 8.48/2.15  tff(f19970,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat,X3 : vEBT_VEBT,X4 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG818(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => none(nat) = iG824(X0,X1,X2,X3,X4)) & ! [X5 : list(vEBT_VEBT),X6 : nat,X7 : nat,X8 : vEBT_VEBT,X9 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG818(X7,X6)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X5))) => iG823(X6,X7,X5,X8,X9) = iG824(X5,X6,X7,X8,X9))),
% 8.48/2.15    inference(flattening,[],[f19969])).
% 8.48/2.15  tff(f19969,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat,X3 : vEBT_VEBT,X4 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG818(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => none(nat) = iG824(X0,X1,X2,X3,X4)) & ! [X5 : list(vEBT_VEBT),X6 : nat,X7 : nat,X8 : vEBT_VEBT,X9 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG818(X7,X6)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X5))) => iG823(X6,X7,X5,X8,X9) = iG824(X5,X6,X7,X8,X9))),
% 8.48/2.15    inference(rectify,[],[f17211])).
% 8.48/2.15  tff(f17211,plain,(
% 8.48/2.15    ! [X22 : list(vEBT_VEBT),X21 : nat,X1 : nat,X23 : vEBT_VEBT,X19 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG818(X1,X21)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X22))) => none(nat) = iG824(X22,X21,X1,X23,X19)) & ! [X22 : list(vEBT_VEBT),X21 : nat,X1 : nat,X23 : vEBT_VEBT,X19 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG818(X1,X21)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X22))) => iG823(X21,X1,X22,X23,X19) = iG824(X22,X21,X1,X23,X19))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG824])])).
% 8.48/2.15  tff(f44145,plain,(
% 8.48/2.15    ( ! [X2 : nat,X3 : vEBT_VEBT,X0 : list(vEBT_VEBT),X1 : nat,X4 : nat] : (none(nat) = iG824(X0,X1,X2,X3,X4) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG818(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25991])).
% 8.48/2.15  tff(f44142,plain,(
% 8.48/2.15    ( ! [X10 : vEBT_VEBT,X11 : nat,X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat] : (aa(nat,option(nat),some(nat),X7) = iG825(X6,X7,X8,X9,X10,X11) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X7),X6))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25990])).
% 8.48/2.15  tff(f25990,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT),X4 : vEBT_VEBT,X5 : nat] : (iG824(X3,X2,X0,X4,X5) = iG825(X0,X1,X2,X3,X4,X5) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) & ! [X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT),X10 : vEBT_VEBT,X11 : nat] : (aa(nat,option(nat),some(nat),X7) = iG825(X6,X7,X8,X9,X10,X11) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X7),X6)))),
% 8.48/2.15    inference(ennf_transformation,[],[f19968])).
% 8.48/2.15  tff(f19968,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT),X4 : vEBT_VEBT,X5 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) => iG824(X3,X2,X0,X4,X5) = iG825(X0,X1,X2,X3,X4,X5)) & ! [X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT),X10 : vEBT_VEBT,X11 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X7),X6)) => aa(nat,option(nat),some(nat),X7) = iG825(X6,X7,X8,X9,X10,X11))),
% 8.48/2.15    inference(flattening,[],[f19967])).
% 8.48/2.15  tff(f19967,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT),X4 : vEBT_VEBT,X5 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) => iG824(X3,X2,X0,X4,X5) = iG825(X0,X1,X2,X3,X4,X5)) & ! [X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT),X10 : vEBT_VEBT,X11 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X7),X6)) => aa(nat,option(nat),some(nat),X7) = iG825(X6,X7,X8,X9,X10,X11))),
% 8.48/2.15    inference(rectify,[],[f17212])).
% 8.48/2.15  tff(f17212,plain,(
% 8.48/2.15    ! [X1 : nat,X20 : nat,X21 : nat,X22 : list(vEBT_VEBT),X23 : vEBT_VEBT,X19 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X20),X1)) => iG824(X22,X21,X1,X23,X19) = iG825(X1,X20,X21,X22,X23,X19)) & ! [X1 : nat,X20 : nat,X21 : nat,X22 : list(vEBT_VEBT),X23 : vEBT_VEBT,X19 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X20),X1)) => aa(nat,option(nat),some(nat),X20) = iG825(X1,X20,X21,X22,X23,X19))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG825])])).
% 8.48/2.15  tff(f44143,plain,(
% 8.48/2.15    ( ! [X2 : nat,X3 : list(vEBT_VEBT),X0 : nat,X1 : nat,X4 : vEBT_VEBT,X5 : nat] : (iG824(X3,X2,X0,X4,X5) = iG825(X0,X1,X2,X3,X4,X5) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25990])).
% 8.48/2.15  tff(f61215,plain,(
% 8.48/2.15    ( ! [X4 : $tType,X6 : X4,X7 : list(X4)] : (remdups_adj(X4,aa(list(X4),list(X4),cons(X4,X6),X7)) = iG826(X4,X6,X6,X7)) )),
% 8.48/2.15    inference(equality_resolution,[],[f44140])).
% 8.48/2.15  tff(f44140,plain,(
% 8.48/2.15    ( ! [X4 : $tType,X6 : X4,X7 : list(X4),X5 : X4] : (remdups_adj(X4,aa(list(X4),list(X4),cons(X4,X6),X7)) = iG826(X4,X5,X6,X7) | X5 != X6) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25989])).
% 8.48/2.15  tff(f25989,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : list(X0)] : (aa(list(X0),list(X0),cons(X0,X2),remdups_adj(X0,aa(list(X0),list(X0),cons(X0,X1),X3))) = iG826(X0,X1,X2,X3) | X1 = X2) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : list(X4)] : (remdups_adj(X4,aa(list(X4),list(X4),cons(X4,X6),X7)) = iG826(X4,X5,X6,X7) | X5 != X6)),
% 8.48/2.15    inference(ennf_transformation,[],[f19966])).
% 8.48/2.15  tff(f19966,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : list(X0)] : (X1 != X2 => aa(list(X0),list(X0),cons(X0,X2),remdups_adj(X0,aa(list(X0),list(X0),cons(X0,X1),X3))) = iG826(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : list(X4)] : (X5 = X6 => remdups_adj(X4,aa(list(X4),list(X4),cons(X4,X6),X7)) = iG826(X4,X5,X6,X7))),
% 8.48/2.15    inference(flattening,[],[f19965])).
% 8.48/2.15  tff(f19965,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : list(X0)] : (~X1 = X2 => aa(list(X0),list(X0),cons(X0,X2),remdups_adj(X0,aa(list(X0),list(X0),cons(X0,X1),X3))) = iG826(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : list(X4)] : (X5 = X6 => remdups_adj(X4,aa(list(X4),list(X4),cons(X4,X6),X7)) = iG826(X4,X5,X6,X7))),
% 8.48/2.15    inference(rectify,[],[f17215])).
% 8.48/2.15  tff(f17215,plain,(
% 8.48/2.15    ! [X0 : $tType,X5 : X0,X4 : X0,X6 : list(X0)] : (~X4 = X5 => aa(list(X0),list(X0),cons(X0,X4),remdups_adj(X0,aa(list(X0),list(X0),cons(X0,X5),X6))) = iG826(X0,X5,X4,X6)) & ! [X0 : $tType,X5 : X0,X4 : X0,X6 : list(X0)] : (X4 = X5 => remdups_adj(X0,aa(list(X0),list(X0),cons(X0,X4),X6)) = iG826(X0,X5,X4,X6))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG826])])).
% 8.48/2.15  tff(f44141,plain,(
% 8.48/2.15    ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (aa(list(X0),list(X0),cons(X0,X2),remdups_adj(X0,aa(list(X0),list(X0),cons(X0,X1),X3))) = iG826(X0,X1,X2,X3) | X1 = X2) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25989])).
% 8.48/2.15  tff(f61214,plain,(
% 8.48/2.15    ( ! [X4 : $tType,X6 : X4,X7 : list(X4)] : (remdups_adj(X4,aa(list(X4),list(X4),cons(X4,X6),X7)) = iG827(X4,X6,X6,X7)) )),
% 8.48/2.15    inference(equality_resolution,[],[f44138])).
% 8.48/2.15  tff(f44138,plain,(
% 8.48/2.15    ( ! [X4 : $tType,X6 : X4,X7 : list(X4),X5 : X4] : (remdups_adj(X4,aa(list(X4),list(X4),cons(X4,X6),X7)) = iG827(X4,X5,X6,X7) | X5 != X6) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25988])).
% 8.48/2.15  tff(f25988,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : list(X0)] : (aa(list(X0),list(X0),cons(X0,X2),remdups_adj(X0,aa(list(X0),list(X0),cons(X0,X1),X3))) = iG827(X0,X1,X2,X3) | X1 = X2) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : list(X4)] : (remdups_adj(X4,aa(list(X4),list(X4),cons(X4,X6),X7)) = iG827(X4,X5,X6,X7) | X5 != X6)),
% 8.48/2.15    inference(ennf_transformation,[],[f19964])).
% 8.48/2.15  tff(f19964,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : list(X0)] : (X1 != X2 => aa(list(X0),list(X0),cons(X0,X2),remdups_adj(X0,aa(list(X0),list(X0),cons(X0,X1),X3))) = iG827(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : list(X4)] : (X5 = X6 => remdups_adj(X4,aa(list(X4),list(X4),cons(X4,X6),X7)) = iG827(X4,X5,X6,X7))),
% 8.48/2.15    inference(flattening,[],[f19963])).
% 8.48/2.15  tff(f19963,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : list(X0)] : (~X1 = X2 => aa(list(X0),list(X0),cons(X0,X2),remdups_adj(X0,aa(list(X0),list(X0),cons(X0,X1),X3))) = iG827(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : list(X4)] : (X5 = X6 => remdups_adj(X4,aa(list(X4),list(X4),cons(X4,X6),X7)) = iG827(X4,X5,X6,X7))),
% 8.48/2.15    inference(rectify,[],[f17218])).
% 8.48/2.15  tff(f17218,plain,(
% 8.48/2.15    ! [X0 : $tType,X5 : X0,X4 : X0,X6 : list(X0)] : (~X4 = X5 => aa(list(X0),list(X0),cons(X0,X4),remdups_adj(X0,aa(list(X0),list(X0),cons(X0,X5),X6))) = iG827(X0,X5,X4,X6)) & ! [X0 : $tType,X5 : X0,X4 : X0,X6 : list(X0)] : (X4 = X5 => remdups_adj(X0,aa(list(X0),list(X0),cons(X0,X4),X6)) = iG827(X0,X5,X4,X6))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG827])])).
% 8.48/2.15  tff(f44139,plain,(
% 8.48/2.15    ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (aa(list(X0),list(X0),cons(X0,X2),remdups_adj(X0,aa(list(X0),list(X0),cons(X0,X1),X3))) = iG827(X0,X1,X2,X3) | X1 = X2) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25988])).
% 8.48/2.15  tff(f44136,plain,(
% 8.48/2.15    ( ! [X2 : int,X3 : int] : (aa(list(int),list(int),cons(int,X3),upto(aa(int,int,aa(int,fun(int,int),plus_plus(int),X3),one_one(int)),X2)) = iG828(X2,X3) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X3),X2))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25987])).
% 8.48/2.15  tff(f25987,plain,(
% 8.48/2.15    ! [X0 : int,X1 : int] : (nil(int) = iG828(X0,X1) | ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X1),X0))) & ! [X2 : int,X3 : int] : (aa(list(int),list(int),cons(int,X3),upto(aa(int,int,aa(int,fun(int,int),plus_plus(int),X3),one_one(int)),X2)) = iG828(X2,X3) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X3),X2)))),
% 8.48/2.15    inference(ennf_transformation,[],[f19962])).
% 8.48/2.15  tff(f19962,plain,(
% 8.48/2.15    ! [X0 : int,X1 : int] : (($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X1),X0)) => nil(int) = iG828(X0,X1)) & ! [X2 : int,X3 : int] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X3),X2)) => aa(list(int),list(int),cons(int,X3),upto(aa(int,int,aa(int,fun(int,int),plus_plus(int),X3),one_one(int)),X2)) = iG828(X2,X3))),
% 8.48/2.15    inference(flattening,[],[f19961])).
% 8.48/2.15  tff(f19961,plain,(
% 8.48/2.15    ! [X0 : int,X1 : int] : (~($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X1),X0)) => nil(int) = iG828(X0,X1)) & ! [X2 : int,X3 : int] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X3),X2)) => aa(list(int),list(int),cons(int,X3),upto(aa(int,int,aa(int,fun(int,int),plus_plus(int),X3),one_one(int)),X2)) = iG828(X2,X3))),
% 8.48/2.15    inference(rectify,[],[f17223])).
% 8.48/2.15  tff(f17223,plain,(
% 8.48/2.15    ! [X1 : int,X0 : int] : (~($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X0),X1)) => nil(int) = iG828(X1,X0)) & ! [X1 : int,X0 : int] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X0),X1)) => aa(list(int),list(int),cons(int,X0),upto(aa(int,int,aa(int,fun(int,int),plus_plus(int),X0),one_one(int)),X1)) = iG828(X1,X0))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG828])])).
% 8.48/2.15  tff(f44137,plain,(
% 8.48/2.15    ( ! [X0 : int,X1 : int] : (nil(int) = iG828(X0,X1) | ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X1),X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25987])).
% 8.48/2.15  tff(f44134,plain,(
% 8.48/2.15    ( ! [X2 : int,X3 : int] : (aa(list(int),list(int),cons(int,X3),upto(aa(int,int,aa(int,fun(int,int),plus_plus(int),X3),one_one(int)),X2)) = iG829(X2,X3) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X3),X2))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25986])).
% 8.48/2.15  tff(f25986,plain,(
% 8.48/2.15    ! [X0 : int,X1 : int] : (nil(int) = iG829(X0,X1) | ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X1),X0))) & ! [X2 : int,X3 : int] : (aa(list(int),list(int),cons(int,X3),upto(aa(int,int,aa(int,fun(int,int),plus_plus(int),X3),one_one(int)),X2)) = iG829(X2,X3) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X3),X2)))),
% 8.48/2.15    inference(ennf_transformation,[],[f19960])).
% 8.48/2.15  tff(f19960,plain,(
% 8.48/2.15    ! [X0 : int,X1 : int] : (($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X1),X0)) => nil(int) = iG829(X0,X1)) & ! [X2 : int,X3 : int] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X3),X2)) => aa(list(int),list(int),cons(int,X3),upto(aa(int,int,aa(int,fun(int,int),plus_plus(int),X3),one_one(int)),X2)) = iG829(X2,X3))),
% 8.48/2.15    inference(flattening,[],[f19959])).
% 8.48/2.15  tff(f19959,plain,(
% 8.48/2.15    ! [X0 : int,X1 : int] : (~($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X1),X0)) => nil(int) = iG829(X0,X1)) & ! [X2 : int,X3 : int] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X3),X2)) => aa(list(int),list(int),cons(int,X3),upto(aa(int,int,aa(int,fun(int,int),plus_plus(int),X3),one_one(int)),X2)) = iG829(X2,X3))),
% 8.48/2.15    inference(rectify,[],[f17226])).
% 8.48/2.15  tff(f17226,plain,(
% 8.48/2.15    ! [X1 : int,X0 : int] : (~($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X0),X1)) => nil(int) = iG829(X1,X0)) & ! [X1 : int,X0 : int] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X0),X1)) => aa(list(int),list(int),cons(int,X0),upto(aa(int,int,aa(int,fun(int,int),plus_plus(int),X0),one_one(int)),X1)) = iG829(X1,X0))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG829])])).
% 8.48/2.15  tff(f44135,plain,(
% 8.48/2.15    ( ! [X0 : int,X1 : int] : (nil(int) = iG829(X0,X1) | ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X1),X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25986])).
% 8.48/2.15  tff(f61213,plain,(
% 8.48/2.15    ( ! [X3 : nat] : (iG830(zero_zero(nat),X3) = X3) )),
% 8.48/2.15    inference(equality_resolution,[],[f44132])).
% 8.48/2.15  tff(f44132,plain,(
% 8.48/2.15    ( ! [X2 : nat,X3 : nat] : (iG830(X2,X3) = X3 | zero_zero(nat) != X2) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25985])).
% 8.48/2.15  tff(f25985,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : (gcd_gcd(nat,X0,modulo_modulo(nat,X1,X0)) = iG830(X0,X1) | zero_zero(nat) = X0) & ! [X2 : nat,X3 : nat] : (iG830(X2,X3) = X3 | zero_zero(nat) != X2)),
% 8.48/2.15    inference(ennf_transformation,[],[f19958])).
% 8.48/2.15  tff(f19958,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : (zero_zero(nat) != X0 => gcd_gcd(nat,X0,modulo_modulo(nat,X1,X0)) = iG830(X0,X1)) & ! [X2 : nat,X3 : nat] : (zero_zero(nat) = X2 => iG830(X2,X3) = X3)),
% 8.48/2.15    inference(flattening,[],[f19957])).
% 8.48/2.15  tff(f19957,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : (~zero_zero(nat) = X0 => gcd_gcd(nat,X0,modulo_modulo(nat,X1,X0)) = iG830(X0,X1)) & ! [X2 : nat,X3 : nat] : (zero_zero(nat) = X2 => iG830(X2,X3) = X3)),
% 8.48/2.15    inference(rectify,[],[f17229])).
% 8.48/2.15  tff(f17229,plain,(
% 8.48/2.15    ! [X1 : nat,X0 : nat] : (~zero_zero(nat) = X1 => gcd_gcd(nat,X1,modulo_modulo(nat,X0,X1)) = iG830(X1,X0)) & ! [X1 : nat,X0 : nat] : (zero_zero(nat) = X1 => iG830(X1,X0) = X0)),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG830])])).
% 8.48/2.15  tff(f44133,plain,(
% 8.48/2.15    ( ! [X0 : nat,X1 : nat] : (gcd_gcd(nat,X0,modulo_modulo(nat,X1,X0)) = iG830(X0,X1) | zero_zero(nat) = X0) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25985])).
% 8.48/2.15  tff(f44130,plain,(
% 8.48/2.15    ( ! [X2 : nat,X3 : nat] : (aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X3),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X2),X3)) = iG831(X2,X3) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),X2))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25984])).
% 8.48/2.15  tff(f25984,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : (nat_prod_decode_aux(aa(nat,nat,suc,X0),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),aa(nat,nat,suc,X0))) = iG831(X0,X1) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X0))) & ! [X2 : nat,X3 : nat] : (aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X3),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X2),X3)) = iG831(X2,X3) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),X2)))),
% 8.48/2.15    inference(ennf_transformation,[],[f19956])).
% 8.48/2.15  tff(f19956,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X0)) => nat_prod_decode_aux(aa(nat,nat,suc,X0),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),aa(nat,nat,suc,X0))) = iG831(X0,X1)) & ! [X2 : nat,X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),X2)) => aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X3),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X2),X3)) = iG831(X2,X3))),
% 8.48/2.15    inference(flattening,[],[f19955])).
% 8.48/2.15  tff(f19955,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X0)) => nat_prod_decode_aux(aa(nat,nat,suc,X0),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),aa(nat,nat,suc,X0))) = iG831(X0,X1)) & ! [X2 : nat,X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),X2)) => aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X3),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X2),X3)) = iG831(X2,X3))),
% 8.48/2.15    inference(rectify,[],[f17234])).
% 8.48/2.15  tff(f17234,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X0)) => nat_prod_decode_aux(aa(nat,nat,suc,X0),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),aa(nat,nat,suc,X0))) = iG831(X0,X1)) & ! [X0 : nat,X1 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X0)) => aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X1),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),X1)) = iG831(X0,X1))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG831])])).
% 8.48/2.15  tff(f44131,plain,(
% 8.48/2.15    ( ! [X0 : nat,X1 : nat] : (nat_prod_decode_aux(aa(nat,nat,suc,X0),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),aa(nat,nat,suc,X0))) = iG831(X0,X1) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25984])).
% 8.48/2.15  tff(f44128,plain,(
% 8.48/2.15    ( ! [X2 : nat,X3 : nat] : (aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X3),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X2),X3)) = iG832(X2,X3) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),X2))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25983])).
% 8.48/2.15  tff(f25983,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : (nat_prod_decode_aux(aa(nat,nat,suc,X0),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),aa(nat,nat,suc,X0))) = iG832(X0,X1) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X0))) & ! [X2 : nat,X3 : nat] : (aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X3),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X2),X3)) = iG832(X2,X3) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),X2)))),
% 8.48/2.15    inference(ennf_transformation,[],[f19954])).
% 8.48/2.15  tff(f19954,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X0)) => nat_prod_decode_aux(aa(nat,nat,suc,X0),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),aa(nat,nat,suc,X0))) = iG832(X0,X1)) & ! [X2 : nat,X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),X2)) => aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X3),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X2),X3)) = iG832(X2,X3))),
% 8.48/2.15    inference(flattening,[],[f19953])).
% 8.48/2.15  tff(f19953,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X0)) => nat_prod_decode_aux(aa(nat,nat,suc,X0),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),aa(nat,nat,suc,X0))) = iG832(X0,X1)) & ! [X2 : nat,X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X3),X2)) => aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X3),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X2),X3)) = iG832(X2,X3))),
% 8.48/2.15    inference(rectify,[],[f17237])).
% 8.48/2.15  tff(f17237,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X0)) => nat_prod_decode_aux(aa(nat,nat,suc,X0),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),aa(nat,nat,suc,X0))) = iG832(X0,X1)) & ! [X0 : nat,X1 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X0)) => aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X1),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),X1)) = iG832(X0,X1))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG832])])).
% 8.48/2.15  tff(f44129,plain,(
% 8.48/2.15    ( ! [X0 : nat,X1 : nat] : (nat_prod_decode_aux(aa(nat,nat,suc,X0),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),aa(nat,nat,suc,X0))) = iG832(X0,X1) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X1),X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25983])).
% 8.48/2.15  tff(f61212,plain,(
% 8.48/2.15    ( ! [X3 : nat] : (aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),one_one(int)),zero_zero(int)) = iG833(zero_zero(nat),X3)) )),
% 8.48/2.15    inference(equality_resolution,[],[f44126])).
% 8.48/2.15  tff(f44126,plain,(
% 8.48/2.15    ( ! [X2 : nat,X3 : nat] : (aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),one_one(int)),zero_zero(int)) = iG833(X2,X3) | zero_zero(nat) != X2) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25982])).
% 8.48/2.15  tff(f25982,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : (aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),aa(product_prod(int,int),int,product_snd(int,int),bezw(X0,modulo_modulo(nat,X1,X0)))),aa(int,int,aa(int,fun(int,int),minus_minus(int),aa(product_prod(int,int),int,product_fst(int,int),bezw(X0,modulo_modulo(nat,X1,X0)))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(product_prod(int,int),int,product_snd(int,int),bezw(X0,modulo_modulo(nat,X1,X0)))),aa(nat,int,semiring_1_of_nat(int),divide_divide(nat,X1,X0))))) = iG833(X0,X1) | zero_zero(nat) = X0) & ! [X2 : nat,X3 : nat] : (aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),one_one(int)),zero_zero(int)) = iG833(X2,X3) | zero_zero(nat) != X2)),
% 8.48/2.15    inference(ennf_transformation,[],[f19952])).
% 8.48/2.15  tff(f19952,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : (zero_zero(nat) != X0 => aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),aa(product_prod(int,int),int,product_snd(int,int),bezw(X0,modulo_modulo(nat,X1,X0)))),aa(int,int,aa(int,fun(int,int),minus_minus(int),aa(product_prod(int,int),int,product_fst(int,int),bezw(X0,modulo_modulo(nat,X1,X0)))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(product_prod(int,int),int,product_snd(int,int),bezw(X0,modulo_modulo(nat,X1,X0)))),aa(nat,int,semiring_1_of_nat(int),divide_divide(nat,X1,X0))))) = iG833(X0,X1)) & ! [X2 : nat,X3 : nat] : (zero_zero(nat) = X2 => aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),one_one(int)),zero_zero(int)) = iG833(X2,X3))),
% 8.48/2.15    inference(flattening,[],[f19951])).
% 8.48/2.15  tff(f19951,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : (~zero_zero(nat) = X0 => aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),aa(product_prod(int,int),int,product_snd(int,int),bezw(X0,modulo_modulo(nat,X1,X0)))),aa(int,int,aa(int,fun(int,int),minus_minus(int),aa(product_prod(int,int),int,product_fst(int,int),bezw(X0,modulo_modulo(nat,X1,X0)))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(product_prod(int,int),int,product_snd(int,int),bezw(X0,modulo_modulo(nat,X1,X0)))),aa(nat,int,semiring_1_of_nat(int),divide_divide(nat,X1,X0))))) = iG833(X0,X1)) & ! [X2 : nat,X3 : nat] : (zero_zero(nat) = X2 => aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),one_one(int)),zero_zero(int)) = iG833(X2,X3))),
% 8.48/2.15    inference(rectify,[],[f17240])).
% 8.48/2.15  tff(f17240,plain,(
% 8.48/2.15    ! [X1 : nat,X0 : nat] : (~zero_zero(nat) = X1 => aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),aa(product_prod(int,int),int,product_snd(int,int),bezw(X1,modulo_modulo(nat,X0,X1)))),aa(int,int,aa(int,fun(int,int),minus_minus(int),aa(product_prod(int,int),int,product_fst(int,int),bezw(X1,modulo_modulo(nat,X0,X1)))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(product_prod(int,int),int,product_snd(int,int),bezw(X1,modulo_modulo(nat,X0,X1)))),aa(nat,int,semiring_1_of_nat(int),divide_divide(nat,X0,X1))))) = iG833(X1,X0)) & ! [X1 : nat,X0 : nat] : (zero_zero(nat) = X1 => aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),one_one(int)),zero_zero(int)) = iG833(X1,X0))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG833])])).
% 8.48/2.15  tff(f44127,plain,(
% 8.48/2.15    ( ! [X0 : nat,X1 : nat] : (aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),aa(product_prod(int,int),int,product_snd(int,int),bezw(X0,modulo_modulo(nat,X1,X0)))),aa(int,int,aa(int,fun(int,int),minus_minus(int),aa(product_prod(int,int),int,product_fst(int,int),bezw(X0,modulo_modulo(nat,X1,X0)))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(product_prod(int,int),int,product_snd(int,int),bezw(X0,modulo_modulo(nat,X1,X0)))),aa(nat,int,semiring_1_of_nat(int),divide_divide(nat,X1,X0))))) = iG833(X0,X1) | zero_zero(nat) = X0) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25982])).
% 8.48/2.15  tff(f61211,plain,(
% 8.48/2.15    ( ! [X3 : nat] : (aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),one_one(int)),zero_zero(int)) = iG834(zero_zero(nat),X3)) )),
% 8.48/2.15    inference(equality_resolution,[],[f44124])).
% 8.48/2.15  tff(f44124,plain,(
% 8.48/2.15    ( ! [X2 : nat,X3 : nat] : (aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),one_one(int)),zero_zero(int)) = iG834(X2,X3) | zero_zero(nat) != X2) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25981])).
% 8.48/2.15  tff(f25981,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : (aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),aa(product_prod(int,int),int,product_snd(int,int),bezw(X0,modulo_modulo(nat,X1,X0)))),aa(int,int,aa(int,fun(int,int),minus_minus(int),aa(product_prod(int,int),int,product_fst(int,int),bezw(X0,modulo_modulo(nat,X1,X0)))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(product_prod(int,int),int,product_snd(int,int),bezw(X0,modulo_modulo(nat,X1,X0)))),aa(nat,int,semiring_1_of_nat(int),divide_divide(nat,X1,X0))))) = iG834(X0,X1) | zero_zero(nat) = X0) & ! [X2 : nat,X3 : nat] : (aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),one_one(int)),zero_zero(int)) = iG834(X2,X3) | zero_zero(nat) != X2)),
% 8.48/2.15    inference(ennf_transformation,[],[f19950])).
% 8.48/2.15  tff(f19950,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : (zero_zero(nat) != X0 => aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),aa(product_prod(int,int),int,product_snd(int,int),bezw(X0,modulo_modulo(nat,X1,X0)))),aa(int,int,aa(int,fun(int,int),minus_minus(int),aa(product_prod(int,int),int,product_fst(int,int),bezw(X0,modulo_modulo(nat,X1,X0)))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(product_prod(int,int),int,product_snd(int,int),bezw(X0,modulo_modulo(nat,X1,X0)))),aa(nat,int,semiring_1_of_nat(int),divide_divide(nat,X1,X0))))) = iG834(X0,X1)) & ! [X2 : nat,X3 : nat] : (zero_zero(nat) = X2 => aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),one_one(int)),zero_zero(int)) = iG834(X2,X3))),
% 8.48/2.15    inference(flattening,[],[f19949])).
% 8.48/2.15  tff(f19949,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : (~zero_zero(nat) = X0 => aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),aa(product_prod(int,int),int,product_snd(int,int),bezw(X0,modulo_modulo(nat,X1,X0)))),aa(int,int,aa(int,fun(int,int),minus_minus(int),aa(product_prod(int,int),int,product_fst(int,int),bezw(X0,modulo_modulo(nat,X1,X0)))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(product_prod(int,int),int,product_snd(int,int),bezw(X0,modulo_modulo(nat,X1,X0)))),aa(nat,int,semiring_1_of_nat(int),divide_divide(nat,X1,X0))))) = iG834(X0,X1)) & ! [X2 : nat,X3 : nat] : (zero_zero(nat) = X2 => aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),one_one(int)),zero_zero(int)) = iG834(X2,X3))),
% 8.48/2.15    inference(rectify,[],[f17243])).
% 8.48/2.15  tff(f17243,plain,(
% 8.48/2.15    ! [X1 : nat,X0 : nat] : (~zero_zero(nat) = X1 => aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),aa(product_prod(int,int),int,product_snd(int,int),bezw(X1,modulo_modulo(nat,X0,X1)))),aa(int,int,aa(int,fun(int,int),minus_minus(int),aa(product_prod(int,int),int,product_fst(int,int),bezw(X1,modulo_modulo(nat,X0,X1)))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(product_prod(int,int),int,product_snd(int,int),bezw(X1,modulo_modulo(nat,X0,X1)))),aa(nat,int,semiring_1_of_nat(int),divide_divide(nat,X0,X1))))) = iG834(X1,X0)) & ! [X1 : nat,X0 : nat] : (zero_zero(nat) = X1 => aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),one_one(int)),zero_zero(int)) = iG834(X1,X0))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG834])])).
% 8.48/2.15  tff(f44125,plain,(
% 8.48/2.15    ( ! [X0 : nat,X1 : nat] : (aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),aa(product_prod(int,int),int,product_snd(int,int),bezw(X0,modulo_modulo(nat,X1,X0)))),aa(int,int,aa(int,fun(int,int),minus_minus(int),aa(product_prod(int,int),int,product_fst(int,int),bezw(X0,modulo_modulo(nat,X1,X0)))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(product_prod(int,int),int,product_snd(int,int),bezw(X0,modulo_modulo(nat,X1,X0)))),aa(nat,int,semiring_1_of_nat(int),divide_divide(nat,X1,X0))))) = iG834(X0,X1) | zero_zero(nat) = X0) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25981])).
% 8.48/2.15  tff(f44121,plain,(
% 8.48/2.15    ( ! [X0 : int,X1 : int] : (($true = bG835(X0,X1)) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36136])).
% 8.48/2.15  tff(f36136,plain,(
% 8.48/2.15    ! [X0 : int,X1 : int] : (((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) & ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)) | ($true != bG835(X0,X1))) & (($true = bG835(X0,X1)) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)))),
% 8.48/2.15    inference(flattening,[],[f36135])).
% 8.48/2.15  tff(f36135,plain,(
% 8.48/2.15    ! [X0 : int,X1 : int] : (((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) & ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)) | ($true != bG835(X0,X1))) & (($true = bG835(X0,X1)) | (dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1))))),
% 8.48/2.15    inference(nnf_transformation,[],[f19948])).
% 8.48/2.15  tff(f19948,plain,(
% 8.48/2.15    ! [X0 : int,X1 : int] : ((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) & ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)) <=> ($true = bG835(X0,X1)))),
% 8.48/2.15    inference(rectify,[],[f17280])).
% 8.48/2.15  tff(f17280,plain,(
% 8.48/2.15    ! [X1 : int,X0 : int] : ((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1) & ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0)) <=> ($true = bG835(X1,X0)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG835])])).
% 8.48/2.15  tff(f44122,plain,(
% 8.48/2.15    ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1) | ($true != bG835(X0,X1))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36136])).
% 8.48/2.15  tff(f44123,plain,(
% 8.48/2.15    ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | ($true != bG835(X0,X1))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36136])).
% 8.48/2.15  tff(f44118,plain,(
% 8.48/2.15    ( ! [X0 : int,X1 : int] : (($true = bG836(X0,X1)) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36134])).
% 8.48/2.15  tff(f36134,plain,(
% 8.48/2.15    ! [X0 : int,X1 : int] : (((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) & ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)) | ($true != bG836(X0,X1))) & (($true = bG836(X0,X1)) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)))),
% 8.48/2.15    inference(flattening,[],[f36133])).
% 8.48/2.15  tff(f36133,plain,(
% 8.48/2.15    ! [X0 : int,X1 : int] : (((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) & ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)) | ($true != bG836(X0,X1))) & (($true = bG836(X0,X1)) | (dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1))))),
% 8.48/2.15    inference(nnf_transformation,[],[f19947])).
% 8.48/2.15  tff(f19947,plain,(
% 8.48/2.15    ! [X0 : int,X1 : int] : ((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) & ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)) <=> ($true = bG836(X0,X1)))),
% 8.48/2.15    inference(rectify,[],[f17281])).
% 8.48/2.15  tff(f17281,plain,(
% 8.48/2.15    ! [X1 : int,X0 : int] : ((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1) & ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0)) <=> ($true = bG836(X1,X0)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG836])])).
% 8.48/2.15  tff(f44119,plain,(
% 8.48/2.15    ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1) | ($true != bG836(X0,X1))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36134])).
% 8.48/2.15  tff(f44120,plain,(
% 8.48/2.15    ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | ($true != bG836(X0,X1))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36134])).
% 8.48/2.15  tff(f44115,plain,(
% 8.48/2.15    ( ! [X2 : int,X3 : int] : (aa(int,int,uminus_uminus(int),aa($o,int,zero_neq_one_of_bool(int),bG835(X2,X3))) = iG837(X2,X3) | ~member(int,X2,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int))))) | ~member(int,X3,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int)))))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25980])).
% 8.48/2.15  tff(f25980,plain,(
% 8.48/2.15    ! [X0 : int,X1 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),aa($o,int,zero_neq_one_of_bool(int),bG836(X0,X1))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))),aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),divide_divide(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),divide_divide(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))))) = iG837(X0,X1) | (member(int,X0,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int))))) & member(int,X1,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int))))))) & ! [X2 : int,X3 : int] : (aa(int,int,uminus_uminus(int),aa($o,int,zero_neq_one_of_bool(int),bG835(X2,X3))) = iG837(X2,X3) | ~member(int,X2,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int))))) | ~member(int,X3,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int))))))),
% 8.48/2.15    inference(flattening,[],[f25979])).
% 8.48/2.15  tff(f25979,plain,(
% 8.48/2.15    ! [X0 : int,X1 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),aa($o,int,zero_neq_one_of_bool(int),bG836(X0,X1))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))),aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),divide_divide(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),divide_divide(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))))) = iG837(X0,X1) | (member(int,X0,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int))))) & member(int,X1,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int))))))) & ! [X2 : int,X3 : int] : (aa(int,int,uminus_uminus(int),aa($o,int,zero_neq_one_of_bool(int),bG835(X2,X3))) = iG837(X2,X3) | (~member(int,X2,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int))))) | ~member(int,X3,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int)))))))),
% 8.48/2.15    inference(ennf_transformation,[],[f19946])).
% 8.48/2.15  tff(f19946,plain,(
% 8.48/2.15    ! [X0 : int,X1 : int] : (~(member(int,X0,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int))))) & member(int,X1,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int)))))) => aa(int,int,aa(int,fun(int,int),plus_plus(int),aa($o,int,zero_neq_one_of_bool(int),bG836(X0,X1))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))),aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),divide_divide(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),divide_divide(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))))) = iG837(X0,X1)) & ! [X2 : int,X3 : int] : ((member(int,X2,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int))))) & member(int,X3,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int)))))) => aa(int,int,uminus_uminus(int),aa($o,int,zero_neq_one_of_bool(int),bG835(X2,X3))) = iG837(X2,X3))),
% 8.48/2.15    inference(rectify,[],[f17282])).
% 8.48/2.15  tff(f17282,plain,(
% 8.48/2.15    ! [X1 : int,X0 : int] : (~(member(int,X1,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int))))) & member(int,X0,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int)))))) => aa(int,int,aa(int,fun(int,int),plus_plus(int),aa($o,int,zero_neq_one_of_bool(int),bG836(X1,X0))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))),aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),divide_divide(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),divide_divide(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))))) = iG837(X1,X0)) & ! [X1 : int,X0 : int] : ((member(int,X1,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int))))) & member(int,X0,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int)))))) => aa(int,int,uminus_uminus(int),aa($o,int,zero_neq_one_of_bool(int),bG835(X1,X0))) = iG837(X1,X0))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG837])])).
% 8.48/2.15  tff(f44116,plain,(
% 8.48/2.15    ( ! [X0 : int,X1 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),aa($o,int,zero_neq_one_of_bool(int),bG836(X0,X1))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))),aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),divide_divide(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),divide_divide(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))))) = iG837(X0,X1) | member(int,X1,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int)))))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25980])).
% 8.48/2.15  tff(f44117,plain,(
% 8.48/2.15    ( ! [X0 : int,X1 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),aa($o,int,zero_neq_one_of_bool(int),bG836(X0,X1))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))),aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),divide_divide(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),divide_divide(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))))) = iG837(X0,X1) | member(int,X0,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int)))))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25980])).
% 8.48/2.15  tff(f44112,plain,(
% 8.48/2.15    ( ! [X0 : int,X1 : int] : (($true = bG838(X0,X1)) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36132])).
% 8.48/2.15  tff(f36132,plain,(
% 8.48/2.15    ! [X0 : int,X1 : int] : (((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) & ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)) | ($true != bG838(X0,X1))) & (($true = bG838(X0,X1)) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)))),
% 8.48/2.15    inference(flattening,[],[f36131])).
% 8.48/2.15  tff(f36131,plain,(
% 8.48/2.15    ! [X0 : int,X1 : int] : (((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) & ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)) | ($true != bG838(X0,X1))) & (($true = bG838(X0,X1)) | (dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1))))),
% 8.48/2.15    inference(nnf_transformation,[],[f19945])).
% 8.48/2.15  tff(f19945,plain,(
% 8.48/2.15    ! [X0 : int,X1 : int] : ((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) & ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)) <=> ($true = bG838(X0,X1)))),
% 8.48/2.15    inference(rectify,[],[f17285])).
% 8.48/2.15  tff(f17285,plain,(
% 8.48/2.15    ! [X1 : int,X0 : int] : ((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1) & ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0)) <=> ($true = bG838(X1,X0)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG838])])).
% 8.48/2.15  tff(f44113,plain,(
% 8.48/2.15    ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1) | ($true != bG838(X0,X1))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36132])).
% 8.48/2.15  tff(f44114,plain,(
% 8.48/2.15    ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | ($true != bG838(X0,X1))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36132])).
% 8.48/2.15  tff(f44109,plain,(
% 8.48/2.15    ( ! [X0 : int,X1 : int] : (($true = bG839(X0,X1)) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36130])).
% 8.48/2.15  tff(f36130,plain,(
% 8.48/2.15    ! [X0 : int,X1 : int] : (((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) & ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)) | ($true != bG839(X0,X1))) & (($true = bG839(X0,X1)) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)))),
% 8.48/2.15    inference(flattening,[],[f36129])).
% 8.48/2.15  tff(f36129,plain,(
% 8.48/2.15    ! [X0 : int,X1 : int] : (((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) & ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)) | ($true != bG839(X0,X1))) & (($true = bG839(X0,X1)) | (dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1))))),
% 8.48/2.15    inference(nnf_transformation,[],[f19944])).
% 8.48/2.15  tff(f19944,plain,(
% 8.48/2.15    ! [X0 : int,X1 : int] : ((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) & ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1)) <=> ($true = bG839(X0,X1)))),
% 8.48/2.15    inference(rectify,[],[f17286])).
% 8.48/2.15  tff(f17286,plain,(
% 8.48/2.15    ! [X1 : int,X0 : int] : ((~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1) & ~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0)) <=> ($true = bG839(X1,X0)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG839])])).
% 8.48/2.15  tff(f44110,plain,(
% 8.48/2.15    ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X1) | ($true != bG839(X0,X1))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36130])).
% 8.48/2.15  tff(f44111,plain,(
% 8.48/2.15    ( ! [X0 : int,X1 : int] : (~dvd_dvd(int,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)),X0) | ($true != bG839(X0,X1))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36130])).
% 8.48/2.15  tff(f44106,plain,(
% 8.48/2.15    ( ! [X2 : int,X3 : int] : (aa(int,int,uminus_uminus(int),aa($o,int,zero_neq_one_of_bool(int),bG838(X2,X3))) = iG840(X2,X3) | ~member(int,X2,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int))))) | ~member(int,X3,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int)))))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25978])).
% 8.48/2.15  tff(f25978,plain,(
% 8.48/2.15    ! [X0 : int,X1 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),aa($o,int,zero_neq_one_of_bool(int),bG839(X0,X1))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))),aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),divide_divide(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),divide_divide(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))))) = iG840(X0,X1) | (member(int,X0,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int))))) & member(int,X1,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int))))))) & ! [X2 : int,X3 : int] : (aa(int,int,uminus_uminus(int),aa($o,int,zero_neq_one_of_bool(int),bG838(X2,X3))) = iG840(X2,X3) | ~member(int,X2,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int))))) | ~member(int,X3,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int))))))),
% 8.48/2.15    inference(flattening,[],[f25977])).
% 8.48/2.15  tff(f25977,plain,(
% 8.48/2.15    ! [X0 : int,X1 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),aa($o,int,zero_neq_one_of_bool(int),bG839(X0,X1))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))),aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),divide_divide(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),divide_divide(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))))) = iG840(X0,X1) | (member(int,X0,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int))))) & member(int,X1,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int))))))) & ! [X2 : int,X3 : int] : (aa(int,int,uminus_uminus(int),aa($o,int,zero_neq_one_of_bool(int),bG838(X2,X3))) = iG840(X2,X3) | (~member(int,X2,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int))))) | ~member(int,X3,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int)))))))),
% 8.48/2.15    inference(ennf_transformation,[],[f19943])).
% 8.48/2.15  tff(f19943,plain,(
% 8.48/2.15    ! [X0 : int,X1 : int] : (~(member(int,X0,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int))))) & member(int,X1,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int)))))) => aa(int,int,aa(int,fun(int,int),plus_plus(int),aa($o,int,zero_neq_one_of_bool(int),bG839(X0,X1))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))),aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),divide_divide(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),divide_divide(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))))) = iG840(X0,X1)) & ! [X2 : int,X3 : int] : ((member(int,X2,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int))))) & member(int,X3,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int)))))) => aa(int,int,uminus_uminus(int),aa($o,int,zero_neq_one_of_bool(int),bG838(X2,X3))) = iG840(X2,X3))),
% 8.48/2.15    inference(rectify,[],[f17287])).
% 8.48/2.15  tff(f17287,plain,(
% 8.48/2.15    ! [X1 : int,X0 : int] : (~(member(int,X1,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int))))) & member(int,X0,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int)))))) => aa(int,int,aa(int,fun(int,int),plus_plus(int),aa($o,int,zero_neq_one_of_bool(int),bG839(X1,X0))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))),aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),divide_divide(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),divide_divide(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))))) = iG840(X1,X0)) & ! [X1 : int,X0 : int] : ((member(int,X1,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int))))) & member(int,X0,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int)))))) => aa(int,int,uminus_uminus(int),aa($o,int,zero_neq_one_of_bool(int),bG838(X1,X0))) = iG840(X1,X0))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG840])])).
% 8.48/2.15  tff(f44107,plain,(
% 8.48/2.15    ( ! [X0 : int,X1 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),aa($o,int,zero_neq_one_of_bool(int),bG839(X0,X1))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))),aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),divide_divide(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),divide_divide(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))))) = iG840(X0,X1) | member(int,X1,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int)))))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25978])).
% 8.48/2.15  tff(f44108,plain,(
% 8.48/2.15    ( ! [X0 : int,X1 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),aa($o,int,zero_neq_one_of_bool(int),bG839(X0,X1))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))),aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),divide_divide(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),divide_divide(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))))) = iG840(X0,X1) | member(int,X0,aa(set(int),set(int),insert(int,zero_zero(int)),aa(set(int),set(int),insert(int,aa(int,int,uminus_uminus(int),one_one(int))),bot_bot(set(int)))))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25978])).
% 8.48/2.15  tff(f61210,plain,(
% 8.48/2.15    ($true = bG841($true))),
% 8.48/2.15    inference(equality_resolution,[],[f44104])).
% 8.48/2.15  tff(f44104,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG841(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36128])).
% 8.48/2.15  tff(f36128,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG841(X0))) & (($true = bG841(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f19942])).
% 8.48/2.15  tff(f19942,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG841(X0)))),
% 8.48/2.15    inference(rectify,[],[f17340])).
% 8.48/2.15  tff(f17340,plain,(
% 8.48/2.15    ! [X3 : $o] : (($true = X3) <=> ($true = bG841(X3)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG841])])).
% 8.48/2.15  tff(f44105,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG841(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36128])).
% 8.48/2.15  tff(f61209,plain,(
% 8.48/2.15    ($true = bG842($true))),
% 8.48/2.15    inference(equality_resolution,[],[f44102])).
% 8.48/2.15  tff(f44102,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG842(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36127])).
% 8.48/2.15  tff(f36127,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG842(X0))) & (($true = bG842(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f19941])).
% 8.48/2.15  tff(f19941,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG842(X0)))),
% 8.48/2.15    inference(rectify,[],[f17341])).
% 8.48/2.15  tff(f17341,plain,(
% 8.48/2.15    ! [X4 : $o] : (($true = X4) <=> ($true = bG842(X4)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG842])])).
% 8.48/2.15  tff(f44103,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG842(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36127])).
% 8.48/2.15  tff(f44101,plain,(
% 8.48/2.15    ( ! [X0 : nat] : (divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))) = lG843(X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f19940])).
% 8.48/2.15  tff(f19940,plain,(
% 8.48/2.15    ! [X0 : nat] : divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))) = lG843(X0)),
% 8.48/2.15    inference(rectify,[],[f17342])).
% 8.48/2.15  tff(f17342,plain,(
% 8.48/2.15    ! [X6 : nat] : divide_divide(nat,X6,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))) = lG843(X6)),
% 8.48/2.15    introduced(fool_let_definition,[new_symbols(definition,[lG843])])).
% 8.48/2.15  tff(f44100,plain,(
% 8.48/2.15    ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),lG843(X0)) = lG844(X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f19939])).
% 8.48/2.15  tff(f19939,plain,(
% 8.48/2.15    ! [X0 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),lG843(X0)) = lG844(X0)),
% 8.48/2.15    inference(rectify,[],[f17343])).
% 8.48/2.15  tff(f17343,plain,(
% 8.48/2.15    ! [X6 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X6),lG843(X6)) = lG844(X6)),
% 8.48/2.15    introduced(fool_let_definition,[new_symbols(definition,[lG844])])).
% 8.48/2.15  tff(f44096,plain,(
% 8.48/2.15    ( ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (($true = bG845(X0,X1)) | member(vEBT_VEBT,sK1679(X0),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0)) | ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),sK1681(X1)))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36126])).
% 8.48/2.15  tff(f36126,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (((! [X2 : vEBT_VEBT] : (! [X3 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) | ~member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & ! [X4 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) | ($true != bG845(X0,X1))) & (($true = bG845(X0,X1)) | (($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK1679(X0)),sK1680(X0))) & member(vEBT_VEBT,sK1679(X0),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) | ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),sK1681(X1)))))),
% 8.48/2.15    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1679,sK1680,sK1681])],[f36122,f36125,f36124,f36123])).
% 8.48/2.15  tff(f36123,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT)] : (? [X5 : vEBT_VEBT] : (? [X6 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X5),X6)) & member(vEBT_VEBT,X5,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) => (? [X6 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK1679(X0)),X6)) & member(vEBT_VEBT,sK1679(X0),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))))),
% 8.48/2.15    introduced(choice_axiom,[])).
% 8.48/2.15  tff(f36124,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT)] : (? [X6 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK1679(X0)),X6)) => ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK1679(X0)),sK1680(X0))))),
% 8.48/2.15    introduced(choice_axiom,[])).
% 8.48/2.15  tff(f36125,plain,(
% 8.48/2.15    ! [X1 : vEBT_VEBT] : (? [X7 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X7)) => ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),sK1681(X1))))),
% 8.48/2.15    introduced(choice_axiom,[])).
% 8.48/2.15  tff(f36122,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (((! [X2 : vEBT_VEBT] : (! [X3 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) | ~member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & ! [X4 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) | ($true != bG845(X0,X1))) & (($true = bG845(X0,X1)) | ? [X5 : vEBT_VEBT] : (? [X6 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X5),X6)) & member(vEBT_VEBT,X5,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) | ? [X7 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X7))))),
% 8.48/2.15    inference(rectify,[],[f36121])).
% 8.48/2.15  tff(f36121,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (((! [X2 : vEBT_VEBT] : (! [X3 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) | ~member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & ! [X4 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) | ($true != bG845(X0,X1))) & (($true = bG845(X0,X1)) | ? [X2 : vEBT_VEBT] : (? [X3 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) & member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) | ? [X4 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))))),
% 8.48/2.15    inference(flattening,[],[f36120])).
% 8.48/2.15  tff(f36120,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (((! [X2 : vEBT_VEBT] : (! [X3 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) | ~member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & ! [X4 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) | ($true != bG845(X0,X1))) & (($true = bG845(X0,X1)) | (? [X2 : vEBT_VEBT] : (? [X3 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) & member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) | ? [X4 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4)))))),
% 8.48/2.15    inference(nnf_transformation,[],[f25976])).
% 8.48/2.15  tff(f25976,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : ((! [X2 : vEBT_VEBT] : (! [X3 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) | ~member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & ! [X4 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) <=> ($true = bG845(X0,X1)))),
% 8.48/2.15    inference(ennf_transformation,[],[f19938])).
% 8.48/2.15  tff(f19938,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : ((! [X2 : vEBT_VEBT] : (member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0)) => ~? [X3 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3))) & ~? [X4 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) <=> ($true = bG845(X0,X1)))),
% 8.48/2.15    inference(rectify,[],[f17344])).
% 8.48/2.15  tff(f17344,plain,(
% 8.48/2.15    ! [X7 : list(vEBT_VEBT),X8 : vEBT_VEBT] : ((! [X9 : vEBT_VEBT] : (member(vEBT_VEBT,X9,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X7)) => ~? [X10 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X9),X10))) & ~? [X11 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X8),X11))) <=> ($true = bG845(X7,X8)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG845])])).
% 8.48/2.15  tff(f44097,plain,(
% 8.48/2.15    ( ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (($true = bG845(X0,X1)) | ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK1679(X0)),sK1680(X0))) | ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),sK1681(X1)))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36126])).
% 8.48/2.15  tff(f44098,plain,(
% 8.48/2.15    ( ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT,X4 : nat] : (($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4)) | ($true != bG845(X0,X1))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36126])).
% 8.48/2.15  tff(f44099,plain,(
% 8.48/2.15    ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) | ~member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0)) | ($true != bG845(X0,X1))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36126])).
% 8.48/2.15  tff(f61208,plain,(
% 8.48/2.15    ($true = bG846($true))),
% 8.48/2.15    inference(equality_resolution,[],[f44094])).
% 8.48/2.15  tff(f44094,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG846(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36119])).
% 8.48/2.15  tff(f36119,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG846(X0))) & (($true = bG846(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f19937])).
% 8.48/2.15  tff(f19937,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG846(X0)))),
% 8.48/2.15    inference(rectify,[],[f17347])).
% 8.48/2.15  tff(f17347,plain,(
% 8.48/2.15    ! [X3 : $o] : (($true = X3) <=> ($true = bG846(X3)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG846])])).
% 8.48/2.15  tff(f44095,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG846(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36119])).
% 8.48/2.15  tff(f61207,plain,(
% 8.48/2.15    ($true = bG847($true))),
% 8.48/2.15    inference(equality_resolution,[],[f44092])).
% 8.48/2.15  tff(f44092,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG847(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36118])).
% 8.48/2.15  tff(f36118,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG847(X0))) & (($true = bG847(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f19936])).
% 8.48/2.15  tff(f19936,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG847(X0)))),
% 8.48/2.15    inference(rectify,[],[f17348])).
% 8.48/2.15  tff(f17348,plain,(
% 8.48/2.15    ! [X4 : $o] : (($true = X4) <=> ($true = bG847(X4)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG847])])).
% 8.48/2.15  tff(f44093,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG847(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36118])).
% 8.48/2.15  tff(f61206,plain,(
% 8.48/2.15    ($true = bG848($true))),
% 8.48/2.15    inference(equality_resolution,[],[f44090])).
% 8.48/2.15  tff(f44090,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG848(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36117])).
% 8.48/2.15  tff(f36117,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG848(X0))) & (($true = bG848(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f19935])).
% 8.48/2.15  tff(f19935,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG848(X0)))),
% 8.48/2.15    inference(rectify,[],[f17349])).
% 8.48/2.15  tff(f17349,plain,(
% 8.48/2.15    ! [X3 : $o] : (($true = X3) <=> ($true = bG848(X3)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG848])])).
% 8.48/2.15  tff(f44091,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG848(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36117])).
% 8.48/2.15  tff(f61205,plain,(
% 8.48/2.15    ($true = bG849($true))),
% 8.48/2.15    inference(equality_resolution,[],[f44088])).
% 8.48/2.15  tff(f44088,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG849(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36116])).
% 8.48/2.15  tff(f36116,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG849(X0))) & (($true = bG849(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f19934])).
% 8.48/2.15  tff(f19934,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG849(X0)))),
% 8.48/2.15    inference(rectify,[],[f17350])).
% 8.48/2.15  tff(f17350,plain,(
% 8.48/2.15    ! [X4 : $o] : (($true = X4) <=> ($true = bG849(X4)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG849])])).
% 8.48/2.15  tff(f44089,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG849(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36116])).
% 8.48/2.15  tff(f44087,plain,(
% 8.48/2.15    ( ! [X0 : nat] : (divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))) = lG850(X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f19933])).
% 8.48/2.15  tff(f19933,plain,(
% 8.48/2.15    ! [X0 : nat] : divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))) = lG850(X0)),
% 8.48/2.15    inference(rectify,[],[f17351])).
% 8.48/2.15  tff(f17351,plain,(
% 8.48/2.15    ! [X6 : nat] : divide_divide(nat,X6,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))) = lG850(X6)),
% 8.48/2.15    introduced(fool_let_definition,[new_symbols(definition,[lG850])])).
% 8.48/2.15  tff(f44086,plain,(
% 8.48/2.15    ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),lG850(X0)) = lG851(X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f19932])).
% 8.48/2.15  tff(f19932,plain,(
% 8.48/2.15    ! [X0 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),lG850(X0)) = lG851(X0)),
% 8.48/2.15    inference(rectify,[],[f17352])).
% 8.48/2.15  tff(f17352,plain,(
% 8.48/2.15    ! [X6 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X6),lG850(X6)) = lG851(X6)),
% 8.48/2.15    introduced(fool_let_definition,[new_symbols(definition,[lG851])])).
% 8.48/2.15  tff(f44082,plain,(
% 8.48/2.15    ( ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (($true = bG852(X0,X1)) | member(vEBT_VEBT,sK1676(X0),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0)) | ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),sK1678(X1)))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36115])).
% 8.48/2.15  tff(f36115,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (((! [X2 : vEBT_VEBT] : (! [X3 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) | ~member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & ! [X4 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) | ($true != bG852(X0,X1))) & (($true = bG852(X0,X1)) | (($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK1676(X0)),sK1677(X0))) & member(vEBT_VEBT,sK1676(X0),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) | ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),sK1678(X1)))))),
% 8.48/2.15    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1676,sK1677,sK1678])],[f36111,f36114,f36113,f36112])).
% 8.48/2.15  tff(f36112,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT)] : (? [X5 : vEBT_VEBT] : (? [X6 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X5),X6)) & member(vEBT_VEBT,X5,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) => (? [X6 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK1676(X0)),X6)) & member(vEBT_VEBT,sK1676(X0),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))))),
% 8.48/2.15    introduced(choice_axiom,[])).
% 8.48/2.15  tff(f36113,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT)] : (? [X6 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK1676(X0)),X6)) => ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK1676(X0)),sK1677(X0))))),
% 8.48/2.15    introduced(choice_axiom,[])).
% 8.48/2.15  tff(f36114,plain,(
% 8.48/2.15    ! [X1 : vEBT_VEBT] : (? [X7 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X7)) => ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),sK1678(X1))))),
% 8.48/2.15    introduced(choice_axiom,[])).
% 8.48/2.15  tff(f36111,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (((! [X2 : vEBT_VEBT] : (! [X3 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) | ~member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & ! [X4 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) | ($true != bG852(X0,X1))) & (($true = bG852(X0,X1)) | ? [X5 : vEBT_VEBT] : (? [X6 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X5),X6)) & member(vEBT_VEBT,X5,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) | ? [X7 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X7))))),
% 8.48/2.15    inference(rectify,[],[f36110])).
% 8.48/2.15  tff(f36110,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (((! [X2 : vEBT_VEBT] : (! [X3 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) | ~member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & ! [X4 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) | ($true != bG852(X0,X1))) & (($true = bG852(X0,X1)) | ? [X2 : vEBT_VEBT] : (? [X3 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) & member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) | ? [X4 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))))),
% 8.48/2.15    inference(flattening,[],[f36109])).
% 8.48/2.15  tff(f36109,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (((! [X2 : vEBT_VEBT] : (! [X3 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) | ~member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & ! [X4 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) | ($true != bG852(X0,X1))) & (($true = bG852(X0,X1)) | (? [X2 : vEBT_VEBT] : (? [X3 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) & member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) | ? [X4 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4)))))),
% 8.48/2.15    inference(nnf_transformation,[],[f25975])).
% 8.48/2.15  tff(f25975,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : ((! [X2 : vEBT_VEBT] : (! [X3 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) | ~member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & ! [X4 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) <=> ($true = bG852(X0,X1)))),
% 8.48/2.15    inference(ennf_transformation,[],[f19931])).
% 8.48/2.15  tff(f19931,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : ((! [X2 : vEBT_VEBT] : (member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0)) => ~? [X3 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3))) & ~? [X4 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) <=> ($true = bG852(X0,X1)))),
% 8.48/2.15    inference(rectify,[],[f17353])).
% 8.48/2.15  tff(f17353,plain,(
% 8.48/2.15    ! [X7 : list(vEBT_VEBT),X8 : vEBT_VEBT] : ((! [X9 : vEBT_VEBT] : (member(vEBT_VEBT,X9,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X7)) => ~? [X10 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X9),X10))) & ~? [X11 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X8),X11))) <=> ($true = bG852(X7,X8)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG852])])).
% 8.48/2.15  tff(f44083,plain,(
% 8.48/2.15    ( ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (($true = bG852(X0,X1)) | ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK1676(X0)),sK1677(X0))) | ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),sK1678(X1)))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36115])).
% 8.48/2.15  tff(f44084,plain,(
% 8.48/2.15    ( ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT,X4 : nat] : (($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4)) | ($true != bG852(X0,X1))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36115])).
% 8.48/2.15  tff(f44085,plain,(
% 8.48/2.15    ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) | ~member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0)) | ($true != bG852(X0,X1))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36115])).
% 8.48/2.15  tff(f61204,plain,(
% 8.48/2.15    ($true = bG853($true))),
% 8.48/2.15    inference(equality_resolution,[],[f44080])).
% 8.48/2.15  tff(f44080,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG853(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36108])).
% 8.48/2.15  tff(f36108,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG853(X0))) & (($true = bG853(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f19930])).
% 8.48/2.15  tff(f19930,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG853(X0)))),
% 8.48/2.15    inference(rectify,[],[f17356])).
% 8.48/2.15  tff(f17356,plain,(
% 8.48/2.15    ! [X3 : $o] : (($true = X3) <=> ($true = bG853(X3)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG853])])).
% 8.48/2.15  tff(f44081,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG853(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36108])).
% 8.48/2.15  tff(f61203,plain,(
% 8.48/2.15    ($true = bG854($true))),
% 8.48/2.15    inference(equality_resolution,[],[f44078])).
% 8.48/2.15  tff(f44078,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG854(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36107])).
% 8.48/2.15  tff(f36107,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG854(X0))) & (($true = bG854(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f19929])).
% 8.48/2.15  tff(f19929,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG854(X0)))),
% 8.48/2.15    inference(rectify,[],[f17357])).
% 8.48/2.15  tff(f17357,plain,(
% 8.48/2.15    ! [X4 : $o] : (($true = X4) <=> ($true = bG854(X4)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG854])])).
% 8.48/2.15  tff(f44079,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG854(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36107])).
% 8.48/2.15  tff(f61202,plain,(
% 8.48/2.15    ( ! [X3 : $o] : (($true = X3) | ~iG855(one_one(nat),X3)) )),
% 8.48/2.15    inference(equality_resolution,[],[f44075])).
% 8.48/2.15  tff(f44075,plain,(
% 8.48/2.15    ( ! [X2 : nat,X3 : $o] : (($true = X3) | ~iG855(X2,X3) | one_one(nat) != X2) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36106])).
% 8.48/2.15  tff(f36106,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : $o] : (~iG855(X0,X1) | one_one(nat) = X0) & ! [X2 : nat,X3 : $o] : (((iG855(X2,X3) | ($true != X3)) & (($true = X3) | ~iG855(X2,X3))) | one_one(nat) != X2)),
% 8.48/2.15    inference(nnf_transformation,[],[f25974])).
% 8.48/2.15  tff(f25974,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : $o] : (~iG855(X0,X1) | one_one(nat) = X0) & ! [X2 : nat,X3 : $o] : ((iG855(X2,X3) <=> ($true = X3)) | one_one(nat) != X2)),
% 8.48/2.15    inference(ennf_transformation,[],[f19928])).
% 8.48/2.15  tff(f19928,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : $o] : (one_one(nat) != X0 => ~iG855(X0,X1)) & ! [X2 : nat,X3 : $o] : (one_one(nat) = X2 => (iG855(X2,X3) <=> ($true = X3)))),
% 8.48/2.15    inference(flattening,[],[f19927])).
% 8.48/2.15  tff(f19927,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : $o] : (~one_one(nat) = X0 => ~iG855(X0,X1)) & ! [X2 : nat,X3 : $o] : (one_one(nat) = X2 => (iG855(X2,X3) <=> ($true = X3)))),
% 8.48/2.15    inference(true_and_false_elimination,[],[f19926])).
% 8.48/2.15  tff(f19926,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : $o] : (~one_one(nat) = X0 => (iG855(X0,X1) <=> $false)) & ! [X2 : nat,X3 : $o] : (one_one(nat) = X2 => (iG855(X2,X3) <=> ($true = X3)))),
% 8.48/2.15    inference(rectify,[],[f17358])).
% 8.48/2.15  tff(f17358,plain,(
% 8.48/2.15    ! [X1 : nat,X4 : $o] : (~one_one(nat) = X1 => (iG855(X1,X4) <=> $false)) & ! [X1 : nat,X4 : $o] : (one_one(nat) = X1 => (iG855(X1,X4) <=> ($true = X4)))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG855])])).
% 8.48/2.15  tff(f61201,plain,(
% 8.48/2.15    iG855(one_one(nat),$true)),
% 8.48/2.15    inference(equality_resolution,[],[f61200])).
% 8.48/2.15  tff(f61200,plain,(
% 8.48/2.15    ( ! [X2 : nat] : (iG855(X2,$true) | one_one(nat) != X2) )),
% 8.48/2.15    inference(equality_resolution,[],[f44076])).
% 8.48/2.15  tff(f44076,plain,(
% 8.48/2.15    ( ! [X2 : nat,X3 : $o] : (iG855(X2,X3) | ($true != X3) | one_one(nat) != X2) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36106])).
% 8.48/2.15  tff(f44077,plain,(
% 8.48/2.15    ( ! [X0 : nat,X1 : $o] : (~iG855(X0,X1) | one_one(nat) = X0) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36106])).
% 8.48/2.15  tff(f61199,plain,(
% 8.48/2.15    ( ! [X4 : $o,X5 : $o] : (($true = X5) | ~iG856(zero_zero(nat),X4,X5)) )),
% 8.48/2.15    inference(equality_resolution,[],[f44071])).
% 8.48/2.15  tff(f44071,plain,(
% 8.48/2.15    ( ! [X3 : nat,X4 : $o,X5 : $o] : (($true = X5) | ~iG856(X3,X4,X5) | zero_zero(nat) != X3) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36105])).
% 8.48/2.15  tff(f36105,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : $o,X2 : $o] : (((iG856(X0,X1,X2) | ~iG855(X0,X1)) & (iG855(X0,X1) | ~iG856(X0,X1,X2))) | zero_zero(nat) = X0) & ! [X3 : nat,X4 : $o,X5 : $o] : (((iG856(X3,X4,X5) | ($true != X5)) & (($true = X5) | ~iG856(X3,X4,X5))) | zero_zero(nat) != X3)),
% 8.48/2.15    inference(nnf_transformation,[],[f25973])).
% 8.48/2.15  tff(f25973,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : $o,X2 : $o] : ((iG856(X0,X1,X2) <=> iG855(X0,X1)) | zero_zero(nat) = X0) & ! [X3 : nat,X4 : $o,X5 : $o] : ((iG856(X3,X4,X5) <=> ($true = X5)) | zero_zero(nat) != X3)),
% 8.48/2.15    inference(ennf_transformation,[],[f19925])).
% 8.48/2.15  tff(f19925,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : $o,X2 : $o] : (zero_zero(nat) != X0 => (iG856(X0,X1,X2) <=> iG855(X0,X1))) & ! [X3 : nat,X4 : $o,X5 : $o] : (zero_zero(nat) = X3 => (iG856(X3,X4,X5) <=> ($true = X5)))),
% 8.48/2.15    inference(flattening,[],[f19924])).
% 8.48/2.15  tff(f19924,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : $o,X2 : $o] : (~zero_zero(nat) = X0 => (iG856(X0,X1,X2) <=> iG855(X0,X1))) & ! [X3 : nat,X4 : $o,X5 : $o] : (zero_zero(nat) = X3 => (iG856(X3,X4,X5) <=> ($true = X5)))),
% 8.48/2.15    inference(rectify,[],[f17359])).
% 8.48/2.15  tff(f17359,plain,(
% 8.48/2.15    ! [X1 : nat,X4 : $o,X3 : $o] : (~zero_zero(nat) = X1 => (iG856(X1,X4,X3) <=> iG855(X1,X4))) & ! [X1 : nat,X4 : $o,X3 : $o] : (zero_zero(nat) = X1 => (iG856(X1,X4,X3) <=> ($true = X3)))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG856])])).
% 8.48/2.15  tff(f61198,plain,(
% 8.48/2.15    ( ! [X4 : $o] : (iG856(zero_zero(nat),X4,$true)) )),
% 8.48/2.15    inference(equality_resolution,[],[f61197])).
% 8.48/2.15  tff(f61197,plain,(
% 8.48/2.15    ( ! [X3 : nat,X4 : $o] : (iG856(X3,X4,$true) | zero_zero(nat) != X3) )),
% 8.48/2.15    inference(equality_resolution,[],[f44072])).
% 8.48/2.15  tff(f44072,plain,(
% 8.48/2.15    ( ! [X3 : nat,X4 : $o,X5 : $o] : (iG856(X3,X4,X5) | ($true != X5) | zero_zero(nat) != X3) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36105])).
% 8.48/2.15  tff(f44073,plain,(
% 8.48/2.15    ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG855(X0,X1) | ~iG856(X0,X1,X2) | zero_zero(nat) = X0) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36105])).
% 8.48/2.15  tff(f44074,plain,(
% 8.48/2.15    ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG856(X0,X1,X2) | ~iG855(X0,X1) | zero_zero(nat) = X0) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36105])).
% 8.48/2.15  tff(f44070,plain,(
% 8.48/2.15    ( ! [X0 : nat,X1 : nat] : (vEBT_VEBT_high(X0,divide_divide(nat,aa(nat,nat,suc,X1),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG857(X0,X1)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f19923])).
% 8.48/2.15  tff(f19923,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : vEBT_VEBT_high(X0,divide_divide(nat,aa(nat,nat,suc,X1),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG857(X0,X1)),
% 8.48/2.15    inference(rectify,[],[f17360])).
% 8.48/2.15  tff(f17360,plain,(
% 8.48/2.15    ! [X1 : nat,X9 : nat] : vEBT_VEBT_high(X1,divide_divide(nat,aa(nat,nat,suc,X9),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG857(X1,X9)),
% 8.48/2.15    introduced(fool_let_definition,[new_symbols(definition,[lG857])])).
% 8.48/2.15  tff(f44067,plain,(
% 8.48/2.15    ( ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG857(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) | ~iG858(X3,X4,X5) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG857(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3)))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36104])).
% 8.48/2.15  tff(f36104,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~iG858(X0,X1,X2) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG857(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (((iG858(X3,X4,X5) | ~vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG857(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) & (vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG857(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) | ~iG858(X3,X4,X5))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG857(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))),
% 8.48/2.15    inference(nnf_transformation,[],[f25972])).
% 8.48/2.15  tff(f25972,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~iG858(X0,X1,X2) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG857(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : ((iG858(X3,X4,X5) <=> vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG857(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG857(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))),
% 8.48/2.15    inference(ennf_transformation,[],[f19922])).
% 8.48/2.15  tff(f19922,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG857(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => ~iG858(X0,X1,X2)) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG857(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (iG858(X3,X4,X5) <=> vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG857(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.15    inference(flattening,[],[f19921])).
% 8.48/2.15  tff(f19921,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG857(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => ~iG858(X0,X1,X2)) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG857(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (iG858(X3,X4,X5) <=> vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG857(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.15    inference(true_and_false_elimination,[],[f19920])).
% 8.48/2.15  tff(f19920,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG857(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => (iG858(X0,X1,X2) <=> $false)) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG857(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (iG858(X3,X4,X5) <=> vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG857(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.15    inference(rectify,[],[f17361])).
% 8.48/2.15  tff(f17361,plain,(
% 8.48/2.15    ! [X10 : list(vEBT_VEBT),X9 : nat,X1 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG857(X1,X9)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X10))) => (iG858(X10,X9,X1) <=> $false)) & ! [X10 : list(vEBT_VEBT),X9 : nat,X1 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG857(X1,X9)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X10))) => (iG858(X10,X9,X1) <=> vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X10),lG857(X1,X9)),vEBT_VEBT_low(X1,divide_divide(nat,aa(nat,nat,suc,X9),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG858])])).
% 8.48/2.15  tff(f44068,plain,(
% 8.48/2.15    ( ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (iG858(X3,X4,X5) | ~vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG857(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG857(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3)))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36104])).
% 8.48/2.15  tff(f44069,plain,(
% 8.48/2.15    ( ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (~iG858(X0,X1,X2) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG857(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36104])).
% 8.48/2.15  tff(f61196,plain,(
% 8.48/2.15    ($true = bG859($true))),
% 8.48/2.15    inference(equality_resolution,[],[f44065])).
% 8.48/2.15  tff(f44065,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG859(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36103])).
% 8.48/2.15  tff(f36103,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG859(X0))) & (($true = bG859(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f19919])).
% 8.48/2.15  tff(f19919,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG859(X0)))),
% 8.48/2.15    inference(rectify,[],[f17364])).
% 8.48/2.15  tff(f17364,plain,(
% 8.48/2.15    ! [X3 : $o] : (($true = X3) <=> ($true = bG859(X3)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG859])])).
% 8.48/2.15  tff(f44066,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG859(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36103])).
% 8.48/2.15  tff(f61195,plain,(
% 8.48/2.15    ($true = bG860($true))),
% 8.48/2.15    inference(equality_resolution,[],[f44063])).
% 8.48/2.15  tff(f44063,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG860(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36102])).
% 8.48/2.15  tff(f36102,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG860(X0))) & (($true = bG860(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f19918])).
% 8.48/2.15  tff(f19918,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG860(X0)))),
% 8.48/2.15    inference(rectify,[],[f17365])).
% 8.48/2.15  tff(f17365,plain,(
% 8.48/2.15    ! [X4 : $o] : (($true = X4) <=> ($true = bG860(X4)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG860])])).
% 8.48/2.15  tff(f44064,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG860(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36102])).
% 8.48/2.15  tff(f61194,plain,(
% 8.48/2.15    ($true = bG861($true))),
% 8.48/2.15    inference(equality_resolution,[],[f44061])).
% 8.48/2.15  tff(f44061,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG861(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36101])).
% 8.48/2.15  tff(f36101,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG861(X0))) & (($true = bG861(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f19917])).
% 8.48/2.15  tff(f19917,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG861(X0)))),
% 8.48/2.15    inference(rectify,[],[f17366])).
% 8.48/2.15  tff(f17366,plain,(
% 8.48/2.15    ! [X3 : $o] : (($true = X3) <=> ($true = bG861(X3)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG861])])).
% 8.48/2.15  tff(f44062,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG861(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36101])).
% 8.48/2.15  tff(f61193,plain,(
% 8.48/2.15    ($true = bG862($true))),
% 8.48/2.15    inference(equality_resolution,[],[f44059])).
% 8.48/2.15  tff(f44059,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG862(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36100])).
% 8.48/2.15  tff(f36100,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG862(X0))) & (($true = bG862(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f19916])).
% 8.48/2.15  tff(f19916,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG862(X0)))),
% 8.48/2.15    inference(rectify,[],[f17367])).
% 8.48/2.15  tff(f17367,plain,(
% 8.48/2.15    ! [X4 : $o] : (($true = X4) <=> ($true = bG862(X4)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG862])])).
% 8.48/2.15  tff(f44060,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG862(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36100])).
% 8.48/2.15  tff(f61192,plain,(
% 8.48/2.15    ( ! [X3 : $o] : ((bG862(X3) = iG863(one_one(nat),X3))) )),
% 8.48/2.15    inference(equality_resolution,[],[f44057])).
% 8.48/2.15  tff(f44057,plain,(
% 8.48/2.15    ( ! [X2 : nat,X3 : $o] : ((bG862(X3) = iG863(X2,X3)) | one_one(nat) != X2) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25971])).
% 8.48/2.15  tff(f25971,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : $o] : (($false = iG863(X0,X1)) | one_one(nat) = X0) & ! [X2 : nat,X3 : $o] : ((bG862(X3) = iG863(X2,X3)) | one_one(nat) != X2)),
% 8.48/2.15    inference(ennf_transformation,[],[f19915])).
% 8.48/2.15  tff(f19915,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : $o] : (one_one(nat) != X0 => ($false = iG863(X0,X1))) & ! [X2 : nat,X3 : $o] : (one_one(nat) = X2 => (bG862(X3) = iG863(X2,X3)))),
% 8.48/2.15    inference(flattening,[],[f19914])).
% 8.48/2.15  tff(f19914,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : $o] : (~one_one(nat) = X0 => ($false = iG863(X0,X1))) & ! [X2 : nat,X3 : $o] : (one_one(nat) = X2 => (bG862(X3) = iG863(X2,X3)))),
% 8.48/2.15    inference(rectify,[],[f17368])).
% 8.48/2.15  tff(f17368,plain,(
% 8.48/2.15    ! [X1 : nat,X4 : $o] : (~one_one(nat) = X1 => ($false = iG863(X1,X4))) & ! [X1 : nat,X4 : $o] : (one_one(nat) = X1 => (bG862(X4) = iG863(X1,X4)))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG863])])).
% 8.48/2.15  tff(f44058,plain,(
% 8.48/2.15    ( ! [X0 : nat,X1 : $o] : (($false = iG863(X0,X1)) | one_one(nat) = X0) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25971])).
% 8.48/2.15  tff(f61191,plain,(
% 8.48/2.15    ( ! [X4 : $o,X5 : $o] : ((bG861(X5) = iG864(zero_zero(nat),X4,X5))) )),
% 8.48/2.15    inference(equality_resolution,[],[f44055])).
% 8.48/2.15  tff(f44055,plain,(
% 8.48/2.15    ( ! [X3 : nat,X4 : $o,X5 : $o] : ((bG861(X5) = iG864(X3,X4,X5)) | zero_zero(nat) != X3) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25970])).
% 8.48/2.15  tff(f25970,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : $o,X2 : $o] : ((iG863(X0,X1) = iG864(X0,X1,X2)) | zero_zero(nat) = X0) & ! [X3 : nat,X4 : $o,X5 : $o] : ((bG861(X5) = iG864(X3,X4,X5)) | zero_zero(nat) != X3)),
% 8.48/2.15    inference(ennf_transformation,[],[f19913])).
% 8.48/2.15  tff(f19913,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : $o,X2 : $o] : (zero_zero(nat) != X0 => (iG863(X0,X1) = iG864(X0,X1,X2))) & ! [X3 : nat,X4 : $o,X5 : $o] : (zero_zero(nat) = X3 => (bG861(X5) = iG864(X3,X4,X5)))),
% 8.48/2.15    inference(flattening,[],[f19912])).
% 8.48/2.15  tff(f19912,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : $o,X2 : $o] : (~zero_zero(nat) = X0 => (iG863(X0,X1) = iG864(X0,X1,X2))) & ! [X3 : nat,X4 : $o,X5 : $o] : (zero_zero(nat) = X3 => (bG861(X5) = iG864(X3,X4,X5)))),
% 8.48/2.15    inference(rectify,[],[f17369])).
% 8.48/2.15  tff(f17369,plain,(
% 8.48/2.15    ! [X1 : nat,X4 : $o,X3 : $o] : (~zero_zero(nat) = X1 => (iG863(X1,X4) = iG864(X1,X4,X3))) & ! [X1 : nat,X4 : $o,X3 : $o] : (zero_zero(nat) = X1 => (bG861(X3) = iG864(X1,X4,X3)))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG864])])).
% 8.48/2.15  tff(f44056,plain,(
% 8.48/2.15    ( ! [X2 : $o,X0 : nat,X1 : $o] : ((iG863(X0,X1) = iG864(X0,X1,X2)) | zero_zero(nat) = X0) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25970])).
% 8.48/2.15  tff(f61190,plain,(
% 8.48/2.15    ($true = bG865($true))),
% 8.48/2.15    inference(equality_resolution,[],[f44053])).
% 8.48/2.15  tff(f44053,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG865(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36099])).
% 8.48/2.15  tff(f36099,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG865(X0))) & (($true = bG865(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f19911])).
% 8.48/2.15  tff(f19911,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG865(X0)))),
% 8.48/2.15    inference(rectify,[],[f17370])).
% 8.48/2.15  tff(f17370,plain,(
% 8.48/2.15    ! [X3 : $o] : (($true = X3) <=> ($true = bG865(X3)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG865])])).
% 8.48/2.15  tff(f44054,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG865(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36099])).
% 8.48/2.15  tff(f61189,plain,(
% 8.48/2.15    ($true = bG866($true))),
% 8.48/2.15    inference(equality_resolution,[],[f44051])).
% 8.48/2.15  tff(f44051,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG866(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36098])).
% 8.48/2.15  tff(f36098,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG866(X0))) & (($true = bG866(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f19910])).
% 8.48/2.15  tff(f19910,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG866(X0)))),
% 8.48/2.15    inference(rectify,[],[f17371])).
% 8.48/2.15  tff(f17371,plain,(
% 8.48/2.15    ! [X4 : $o] : (($true = X4) <=> ($true = bG866(X4)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG866])])).
% 8.48/2.15  tff(f44052,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG866(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36098])).
% 8.48/2.15  tff(f44050,plain,(
% 8.48/2.15    ( ! [X0 : nat,X1 : nat] : (vEBT_VEBT_high(X0,divide_divide(nat,aa(nat,nat,suc,X1),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG867(X0,X1)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f19909])).
% 8.48/2.15  tff(f19909,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : vEBT_VEBT_high(X0,divide_divide(nat,aa(nat,nat,suc,X1),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG867(X0,X1)),
% 8.48/2.15    inference(rectify,[],[f17372])).
% 8.48/2.15  tff(f17372,plain,(
% 8.48/2.15    ! [X1 : nat,X9 : nat] : vEBT_VEBT_high(X1,divide_divide(nat,aa(nat,nat,suc,X9),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG867(X1,X9)),
% 8.48/2.15    introduced(fool_let_definition,[new_symbols(definition,[lG867])])).
% 8.48/2.15  tff(f44048,plain,(
% 8.48/2.15    ( ! [X2 : list(vEBT_VEBT),X0 : nat,X1 : nat] : (($true = bG868(X0,X1,X2)) | ~vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X2),lG867(X1,X0)),vEBT_VEBT_low(X1,divide_divide(nat,aa(nat,nat,suc,X0),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36097])).
% 8.48/2.15  tff(f36097,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : list(vEBT_VEBT)] : ((vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X2),lG867(X1,X0)),vEBT_VEBT_low(X1,divide_divide(nat,aa(nat,nat,suc,X0),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) | ($true != bG868(X0,X1,X2))) & (($true = bG868(X0,X1,X2)) | ~vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X2),lG867(X1,X0)),vEBT_VEBT_low(X1,divide_divide(nat,aa(nat,nat,suc,X0),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.15    inference(nnf_transformation,[],[f19908])).
% 8.48/2.15  tff(f19908,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : list(vEBT_VEBT)] : (vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X2),lG867(X1,X0)),vEBT_VEBT_low(X1,divide_divide(nat,aa(nat,nat,suc,X0),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) <=> ($true = bG868(X0,X1,X2)))),
% 8.48/2.15    inference(rectify,[],[f17373])).
% 8.48/2.15  tff(f17373,plain,(
% 8.48/2.15    ! [X9 : nat,X1 : nat,X10 : list(vEBT_VEBT)] : (vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X10),lG867(X1,X9)),vEBT_VEBT_low(X1,divide_divide(nat,aa(nat,nat,suc,X9),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) <=> ($true = bG868(X9,X1,X10)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG868])])).
% 8.48/2.15  tff(f44049,plain,(
% 8.48/2.15    ( ! [X2 : list(vEBT_VEBT),X0 : nat,X1 : nat] : (vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X2),lG867(X1,X0)),vEBT_VEBT_low(X1,divide_divide(nat,aa(nat,nat,suc,X0),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) | ($true != bG868(X0,X1,X2))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36097])).
% 8.48/2.15  tff(f44046,plain,(
% 8.48/2.15    ( ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : ((bG868(X4,X5,X3) = iG869(X3,X4,X5)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG867(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3)))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25969])).
% 8.48/2.15  tff(f25969,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (($false = iG869(X0,X1,X2)) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG867(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : ((bG868(X4,X5,X3) = iG869(X3,X4,X5)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG867(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))),
% 8.48/2.15    inference(ennf_transformation,[],[f19907])).
% 8.48/2.15  tff(f19907,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG867(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => ($false = iG869(X0,X1,X2))) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG867(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (bG868(X4,X5,X3) = iG869(X3,X4,X5)))),
% 8.48/2.15    inference(flattening,[],[f19906])).
% 8.48/2.15  tff(f19906,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG867(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => ($false = iG869(X0,X1,X2))) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG867(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (bG868(X4,X5,X3) = iG869(X3,X4,X5)))),
% 8.48/2.15    inference(rectify,[],[f17374])).
% 8.48/2.15  tff(f17374,plain,(
% 8.48/2.15    ! [X10 : list(vEBT_VEBT),X9 : nat,X1 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG867(X1,X9)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X10))) => ($false = iG869(X10,X9,X1))) & ! [X10 : list(vEBT_VEBT),X9 : nat,X1 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG867(X1,X9)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X10))) => (bG868(X9,X1,X10) = iG869(X10,X9,X1)))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG869])])).
% 8.48/2.15  tff(f44047,plain,(
% 8.48/2.15    ( ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (($false = iG869(X0,X1,X2)) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG867(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25969])).
% 8.48/2.15  tff(f61188,plain,(
% 8.48/2.15    ($true = bG870($true))),
% 8.48/2.15    inference(equality_resolution,[],[f44044])).
% 8.48/2.15  tff(f44044,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG870(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36096])).
% 8.48/2.15  tff(f36096,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG870(X0))) & (($true = bG870(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f19905])).
% 8.48/2.15  tff(f19905,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG870(X0)))),
% 8.48/2.15    inference(rectify,[],[f17377])).
% 8.48/2.15  tff(f17377,plain,(
% 8.48/2.15    ! [X3 : $o] : (($true = X3) <=> ($true = bG870(X3)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG870])])).
% 8.48/2.15  tff(f44045,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG870(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36096])).
% 8.48/2.15  tff(f61187,plain,(
% 8.48/2.15    ($true = bG871($true))),
% 8.48/2.15    inference(equality_resolution,[],[f44042])).
% 8.48/2.15  tff(f44042,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG871(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36095])).
% 8.48/2.15  tff(f36095,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG871(X0))) & (($true = bG871(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f19904])).
% 8.48/2.15  tff(f19904,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG871(X0)))),
% 8.48/2.15    inference(rectify,[],[f17378])).
% 8.48/2.15  tff(f17378,plain,(
% 8.48/2.15    ! [X4 : $o] : (($true = X4) <=> ($true = bG871(X4)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG871])])).
% 8.48/2.15  tff(f44043,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG871(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36095])).
% 8.48/2.15  tff(f44041,plain,(
% 8.48/2.15    ( ! [X0 : nat,X1 : nat] : (vEBT_VEBT_high(X0,divide_divide(nat,aa(nat,nat,suc,X1),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG872(X0,X1)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f19903])).
% 8.48/2.15  tff(f19903,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : vEBT_VEBT_high(X0,divide_divide(nat,aa(nat,nat,suc,X1),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG872(X0,X1)),
% 8.48/2.15    inference(rectify,[],[f17379])).
% 8.48/2.15  tff(f17379,plain,(
% 8.48/2.15    ! [X1 : nat,X13 : nat] : vEBT_VEBT_high(X1,divide_divide(nat,aa(nat,nat,suc,X13),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG872(X1,X13)),
% 8.48/2.15    introduced(fool_let_definition,[new_symbols(definition,[lG872])])).
% 8.48/2.15  tff(f44038,plain,(
% 8.48/2.15    ( ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG872(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) | ~iG873(X3,X4,X5) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG872(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3)))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36094])).
% 8.48/2.15  tff(f36094,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~iG873(X0,X1,X2) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG872(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (((iG873(X3,X4,X5) | ~vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG872(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) & (vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG872(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) | ~iG873(X3,X4,X5))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG872(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))),
% 8.48/2.15    inference(nnf_transformation,[],[f25968])).
% 8.48/2.15  tff(f25968,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~iG873(X0,X1,X2) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG872(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : ((iG873(X3,X4,X5) <=> vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG872(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG872(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))),
% 8.48/2.15    inference(ennf_transformation,[],[f19902])).
% 8.48/2.15  tff(f19902,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG872(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => ~iG873(X0,X1,X2)) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG872(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (iG873(X3,X4,X5) <=> vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG872(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.15    inference(flattening,[],[f19901])).
% 8.48/2.15  tff(f19901,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG872(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => ~iG873(X0,X1,X2)) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG872(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (iG873(X3,X4,X5) <=> vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG872(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.15    inference(true_and_false_elimination,[],[f19900])).
% 8.48/2.15  tff(f19900,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG872(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => (iG873(X0,X1,X2) <=> $false)) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG872(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (iG873(X3,X4,X5) <=> vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG872(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.15    inference(rectify,[],[f17380])).
% 8.48/2.15  tff(f17380,plain,(
% 8.48/2.15    ! [X14 : list(vEBT_VEBT),X13 : nat,X1 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG872(X1,X13)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X14))) => (iG873(X14,X13,X1) <=> $false)) & ! [X14 : list(vEBT_VEBT),X13 : nat,X1 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG872(X1,X13)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X14))) => (iG873(X14,X13,X1) <=> vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X14),lG872(X1,X13)),vEBT_VEBT_low(X1,divide_divide(nat,aa(nat,nat,suc,X13),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG873])])).
% 8.48/2.15  tff(f44039,plain,(
% 8.48/2.15    ( ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (iG873(X3,X4,X5) | ~vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG872(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG872(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3)))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36094])).
% 8.48/2.15  tff(f44040,plain,(
% 8.48/2.15    ( ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (~iG873(X0,X1,X2) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG872(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36094])).
% 8.48/2.15  tff(f44037,plain,(
% 8.48/2.15    ( ! [X0 : nat,X1 : nat] : (vEBT_VEBT_high(X0,divide_divide(nat,aa(nat,nat,suc,X1),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG874(X0,X1)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f19899])).
% 8.48/2.15  tff(f19899,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : vEBT_VEBT_high(X0,divide_divide(nat,aa(nat,nat,suc,X1),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG874(X0,X1)),
% 8.48/2.15    inference(rectify,[],[f17381])).
% 8.48/2.15  tff(f17381,plain,(
% 8.48/2.15    ! [X1 : nat,X16 : nat] : vEBT_VEBT_high(X1,divide_divide(nat,aa(nat,nat,suc,X16),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG874(X1,X16)),
% 8.48/2.15    introduced(fool_let_definition,[new_symbols(definition,[lG874])])).
% 8.48/2.15  tff(f44034,plain,(
% 8.48/2.15    ( ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG874(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) | ~iG875(X3,X4,X5) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG874(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3)))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36093])).
% 8.48/2.15  tff(f36093,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~iG875(X0,X1,X2) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG874(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (((iG875(X3,X4,X5) | ~vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG874(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) & (vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG874(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) | ~iG875(X3,X4,X5))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG874(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))),
% 8.48/2.15    inference(nnf_transformation,[],[f25967])).
% 8.48/2.15  tff(f25967,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~iG875(X0,X1,X2) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG874(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : ((iG875(X3,X4,X5) <=> vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG874(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG874(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))),
% 8.48/2.15    inference(ennf_transformation,[],[f19898])).
% 8.48/2.15  tff(f19898,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG874(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => ~iG875(X0,X1,X2)) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG874(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (iG875(X3,X4,X5) <=> vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG874(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.15    inference(flattening,[],[f19897])).
% 8.48/2.15  tff(f19897,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG874(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => ~iG875(X0,X1,X2)) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG874(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (iG875(X3,X4,X5) <=> vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG874(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.15    inference(true_and_false_elimination,[],[f19896])).
% 8.48/2.15  tff(f19896,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG874(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => (iG875(X0,X1,X2) <=> $false)) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG874(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (iG875(X3,X4,X5) <=> vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG874(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.15    inference(rectify,[],[f17382])).
% 8.48/2.15  tff(f17382,plain,(
% 8.48/2.15    ! [X17 : list(vEBT_VEBT),X16 : nat,X1 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG874(X1,X16)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X17))) => (iG875(X17,X16,X1) <=> $false)) & ! [X17 : list(vEBT_VEBT),X16 : nat,X1 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG874(X1,X16)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X17))) => (iG875(X17,X16,X1) <=> vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X17),lG874(X1,X16)),vEBT_VEBT_low(X1,divide_divide(nat,aa(nat,nat,suc,X16),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG875])])).
% 8.48/2.15  tff(f44035,plain,(
% 8.48/2.15    ( ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (iG875(X3,X4,X5) | ~vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG874(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG874(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3)))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36093])).
% 8.48/2.15  tff(f44036,plain,(
% 8.48/2.15    ( ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (~iG875(X0,X1,X2) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG874(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36093])).
% 8.48/2.15  tff(f61186,plain,(
% 8.48/2.15    ($true = bG876($true))),
% 8.48/2.15    inference(equality_resolution,[],[f44032])).
% 8.48/2.15  tff(f44032,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG876(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36092])).
% 8.48/2.15  tff(f36092,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG876(X0))) & (($true = bG876(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f19895])).
% 8.48/2.15  tff(f19895,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG876(X0)))),
% 8.48/2.15    inference(rectify,[],[f17385])).
% 8.48/2.15  tff(f17385,plain,(
% 8.48/2.15    ! [X3 : $o] : (($true = X3) <=> ($true = bG876(X3)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG876])])).
% 8.48/2.15  tff(f44033,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG876(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36092])).
% 8.48/2.15  tff(f61185,plain,(
% 8.48/2.15    ($true = bG877($true))),
% 8.48/2.15    inference(equality_resolution,[],[f44030])).
% 8.48/2.15  tff(f44030,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG877(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36091])).
% 8.48/2.15  tff(f36091,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG877(X0))) & (($true = bG877(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f19894])).
% 8.48/2.15  tff(f19894,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG877(X0)))),
% 8.48/2.15    inference(rectify,[],[f17386])).
% 8.48/2.15  tff(f17386,plain,(
% 8.48/2.15    ! [X4 : $o] : (($true = X4) <=> ($true = bG877(X4)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG877])])).
% 8.48/2.15  tff(f44031,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG877(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36091])).
% 8.48/2.15  tff(f61184,plain,(
% 8.48/2.15    ($true = bG878($true))),
% 8.48/2.15    inference(equality_resolution,[],[f44028])).
% 8.48/2.15  tff(f44028,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG878(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36090])).
% 8.48/2.15  tff(f36090,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG878(X0))) & (($true = bG878(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f19893])).
% 8.48/2.15  tff(f19893,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG878(X0)))),
% 8.48/2.15    inference(rectify,[],[f17387])).
% 8.48/2.15  tff(f17387,plain,(
% 8.48/2.15    ! [X3 : $o] : (($true = X3) <=> ($true = bG878(X3)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG878])])).
% 8.48/2.15  tff(f44029,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG878(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36090])).
% 8.48/2.15  tff(f61183,plain,(
% 8.48/2.15    ($true = bG879($true))),
% 8.48/2.15    inference(equality_resolution,[],[f44026])).
% 8.48/2.15  tff(f44026,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG879(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36089])).
% 8.48/2.15  tff(f36089,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG879(X0))) & (($true = bG879(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f19892])).
% 8.48/2.15  tff(f19892,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG879(X0)))),
% 8.48/2.15    inference(rectify,[],[f17388])).
% 8.48/2.15  tff(f17388,plain,(
% 8.48/2.15    ! [X4 : $o] : (($true = X4) <=> ($true = bG879(X4)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG879])])).
% 8.48/2.15  tff(f44027,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG879(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36089])).
% 8.48/2.15  tff(f44025,plain,(
% 8.48/2.15    ( ! [X0 : nat,X1 : nat] : (vEBT_VEBT_high(X0,divide_divide(nat,aa(nat,nat,suc,X1),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG880(X0,X1)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f19891])).
% 8.48/2.15  tff(f19891,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : vEBT_VEBT_high(X0,divide_divide(nat,aa(nat,nat,suc,X1),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG880(X0,X1)),
% 8.48/2.15    inference(rectify,[],[f17389])).
% 8.48/2.15  tff(f17389,plain,(
% 8.48/2.15    ! [X1 : nat,X13 : nat] : vEBT_VEBT_high(X1,divide_divide(nat,aa(nat,nat,suc,X13),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG880(X1,X13)),
% 8.48/2.15    introduced(fool_let_definition,[new_symbols(definition,[lG880])])).
% 8.48/2.15  tff(f44022,plain,(
% 8.48/2.15    ( ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG880(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) | ~iG881(X3,X4,X5) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG880(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3)))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36088])).
% 8.48/2.15  tff(f36088,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~iG881(X0,X1,X2) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG880(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (((iG881(X3,X4,X5) | ~vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG880(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) & (vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG880(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) | ~iG881(X3,X4,X5))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG880(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))),
% 8.48/2.15    inference(nnf_transformation,[],[f25966])).
% 8.48/2.15  tff(f25966,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~iG881(X0,X1,X2) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG880(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : ((iG881(X3,X4,X5) <=> vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG880(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG880(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))),
% 8.48/2.15    inference(ennf_transformation,[],[f19890])).
% 8.48/2.15  tff(f19890,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG880(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => ~iG881(X0,X1,X2)) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG880(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (iG881(X3,X4,X5) <=> vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG880(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.15    inference(flattening,[],[f19889])).
% 8.48/2.15  tff(f19889,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG880(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => ~iG881(X0,X1,X2)) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG880(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (iG881(X3,X4,X5) <=> vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG880(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.15    inference(true_and_false_elimination,[],[f19888])).
% 8.48/2.15  tff(f19888,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG880(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => (iG881(X0,X1,X2) <=> $false)) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG880(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (iG881(X3,X4,X5) <=> vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG880(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.15    inference(rectify,[],[f17390])).
% 8.48/2.15  tff(f17390,plain,(
% 8.48/2.15    ! [X14 : list(vEBT_VEBT),X13 : nat,X1 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG880(X1,X13)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X14))) => (iG881(X14,X13,X1) <=> $false)) & ! [X14 : list(vEBT_VEBT),X13 : nat,X1 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG880(X1,X13)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X14))) => (iG881(X14,X13,X1) <=> vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X14),lG880(X1,X13)),vEBT_VEBT_low(X1,divide_divide(nat,aa(nat,nat,suc,X13),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG881])])).
% 8.48/2.15  tff(f44023,plain,(
% 8.48/2.15    ( ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (iG881(X3,X4,X5) | ~vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG880(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG880(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3)))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36088])).
% 8.48/2.15  tff(f44024,plain,(
% 8.48/2.15    ( ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (~iG881(X0,X1,X2) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG880(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36088])).
% 8.48/2.15  tff(f44021,plain,(
% 8.48/2.15    ( ! [X0 : nat,X1 : nat] : (vEBT_VEBT_high(X0,divide_divide(nat,aa(nat,nat,suc,X1),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG882(X0,X1)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f19887])).
% 8.48/2.15  tff(f19887,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : vEBT_VEBT_high(X0,divide_divide(nat,aa(nat,nat,suc,X1),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG882(X0,X1)),
% 8.48/2.15    inference(rectify,[],[f17391])).
% 8.48/2.15  tff(f17391,plain,(
% 8.48/2.15    ! [X1 : nat,X16 : nat] : vEBT_VEBT_high(X1,divide_divide(nat,aa(nat,nat,suc,X16),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG882(X1,X16)),
% 8.48/2.15    introduced(fool_let_definition,[new_symbols(definition,[lG882])])).
% 8.48/2.15  tff(f44019,plain,(
% 8.48/2.15    ( ! [X2 : list(vEBT_VEBT),X0 : nat,X1 : nat] : (($true = bG883(X0,X1,X2)) | ~vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X2),lG882(X1,X0)),vEBT_VEBT_low(X1,divide_divide(nat,aa(nat,nat,suc,X0),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36087])).
% 8.48/2.15  tff(f36087,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : list(vEBT_VEBT)] : ((vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X2),lG882(X1,X0)),vEBT_VEBT_low(X1,divide_divide(nat,aa(nat,nat,suc,X0),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) | ($true != bG883(X0,X1,X2))) & (($true = bG883(X0,X1,X2)) | ~vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X2),lG882(X1,X0)),vEBT_VEBT_low(X1,divide_divide(nat,aa(nat,nat,suc,X0),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.15    inference(nnf_transformation,[],[f19886])).
% 8.48/2.15  tff(f19886,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : list(vEBT_VEBT)] : (vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X2),lG882(X1,X0)),vEBT_VEBT_low(X1,divide_divide(nat,aa(nat,nat,suc,X0),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) <=> ($true = bG883(X0,X1,X2)))),
% 8.48/2.15    inference(rectify,[],[f17392])).
% 8.48/2.15  tff(f17392,plain,(
% 8.48/2.15    ! [X16 : nat,X1 : nat,X17 : list(vEBT_VEBT)] : (vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X17),lG882(X1,X16)),vEBT_VEBT_low(X1,divide_divide(nat,aa(nat,nat,suc,X16),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) <=> ($true = bG883(X16,X1,X17)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG883])])).
% 8.48/2.15  tff(f44020,plain,(
% 8.48/2.15    ( ! [X2 : list(vEBT_VEBT),X0 : nat,X1 : nat] : (vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X2),lG882(X1,X0)),vEBT_VEBT_low(X1,divide_divide(nat,aa(nat,nat,suc,X0),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) | ($true != bG883(X0,X1,X2))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36087])).
% 8.48/2.15  tff(f44017,plain,(
% 8.48/2.15    ( ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : ((bG883(X4,X5,X3) = iG884(X3,X4,X5)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG882(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3)))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25965])).
% 8.48/2.15  tff(f25965,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (($false = iG884(X0,X1,X2)) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG882(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : ((bG883(X4,X5,X3) = iG884(X3,X4,X5)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG882(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))),
% 8.48/2.15    inference(ennf_transformation,[],[f19885])).
% 8.48/2.15  tff(f19885,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG882(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => ($false = iG884(X0,X1,X2))) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG882(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (bG883(X4,X5,X3) = iG884(X3,X4,X5)))),
% 8.48/2.15    inference(flattening,[],[f19884])).
% 8.48/2.15  tff(f19884,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG882(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => ($false = iG884(X0,X1,X2))) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG882(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (bG883(X4,X5,X3) = iG884(X3,X4,X5)))),
% 8.48/2.15    inference(rectify,[],[f17393])).
% 8.48/2.15  tff(f17393,plain,(
% 8.48/2.15    ! [X17 : list(vEBT_VEBT),X16 : nat,X1 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG882(X1,X16)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X17))) => ($false = iG884(X17,X16,X1))) & ! [X17 : list(vEBT_VEBT),X16 : nat,X1 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG882(X1,X16)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X17))) => (bG883(X16,X1,X17) = iG884(X17,X16,X1)))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG884])])).
% 8.48/2.15  tff(f44018,plain,(
% 8.48/2.15    ( ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (($false = iG884(X0,X1,X2)) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG882(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25965])).
% 8.48/2.15  tff(f61182,plain,(
% 8.48/2.15    ($true = bG885($true))),
% 8.48/2.15    inference(equality_resolution,[],[f44015])).
% 8.48/2.15  tff(f44015,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG885(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36086])).
% 8.48/2.15  tff(f36086,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG885(X0))) & (($true = bG885(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f19883])).
% 8.48/2.15  tff(f19883,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG885(X0)))),
% 8.48/2.15    inference(rectify,[],[f17396])).
% 8.48/2.15  tff(f17396,plain,(
% 8.48/2.15    ! [X3 : $o] : (($true = X3) <=> ($true = bG885(X3)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG885])])).
% 8.48/2.15  tff(f44016,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG885(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36086])).
% 8.48/2.15  tff(f61181,plain,(
% 8.48/2.15    ($true = bG886($true))),
% 8.48/2.15    inference(equality_resolution,[],[f44013])).
% 8.48/2.15  tff(f44013,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG886(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36085])).
% 8.48/2.15  tff(f36085,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG886(X0))) & (($true = bG886(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f19882])).
% 8.48/2.15  tff(f19882,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG886(X0)))),
% 8.48/2.15    inference(rectify,[],[f17397])).
% 8.48/2.15  tff(f17397,plain,(
% 8.48/2.15    ! [X4 : $o] : (($true = X4) <=> ($true = bG886(X4)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG886])])).
% 8.48/2.15  tff(f44014,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG886(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36085])).
% 8.48/2.15  tff(f61180,plain,(
% 8.48/2.15    ( ! [X3 : $o] : (($true = X3) | ~iG887(one_one(nat),X3)) )),
% 8.48/2.15    inference(equality_resolution,[],[f44010])).
% 8.48/2.15  tff(f44010,plain,(
% 8.48/2.15    ( ! [X2 : nat,X3 : $o] : (($true = X3) | ~iG887(X2,X3) | one_one(nat) != X2) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36084])).
% 8.48/2.15  tff(f36084,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : $o] : (~iG887(X0,X1) | one_one(nat) = X0) & ! [X2 : nat,X3 : $o] : (((iG887(X2,X3) | ($true != X3)) & (($true = X3) | ~iG887(X2,X3))) | one_one(nat) != X2)),
% 8.48/2.15    inference(nnf_transformation,[],[f25964])).
% 8.48/2.15  tff(f25964,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : $o] : (~iG887(X0,X1) | one_one(nat) = X0) & ! [X2 : nat,X3 : $o] : ((iG887(X2,X3) <=> ($true = X3)) | one_one(nat) != X2)),
% 8.48/2.15    inference(ennf_transformation,[],[f19881])).
% 8.48/2.15  tff(f19881,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : $o] : (one_one(nat) != X0 => ~iG887(X0,X1)) & ! [X2 : nat,X3 : $o] : (one_one(nat) = X2 => (iG887(X2,X3) <=> ($true = X3)))),
% 8.48/2.15    inference(flattening,[],[f19880])).
% 8.48/2.15  tff(f19880,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : $o] : (~one_one(nat) = X0 => ~iG887(X0,X1)) & ! [X2 : nat,X3 : $o] : (one_one(nat) = X2 => (iG887(X2,X3) <=> ($true = X3)))),
% 8.48/2.15    inference(true_and_false_elimination,[],[f19879])).
% 8.48/2.15  tff(f19879,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : $o] : (~one_one(nat) = X0 => (iG887(X0,X1) <=> $false)) & ! [X2 : nat,X3 : $o] : (one_one(nat) = X2 => (iG887(X2,X3) <=> ($true = X3)))),
% 8.48/2.15    inference(rectify,[],[f17398])).
% 8.48/2.15  tff(f17398,plain,(
% 8.48/2.15    ! [X1 : nat,X4 : $o] : (~one_one(nat) = X1 => (iG887(X1,X4) <=> $false)) & ! [X1 : nat,X4 : $o] : (one_one(nat) = X1 => (iG887(X1,X4) <=> ($true = X4)))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG887])])).
% 8.48/2.15  tff(f61179,plain,(
% 8.48/2.15    iG887(one_one(nat),$true)),
% 8.48/2.15    inference(equality_resolution,[],[f61178])).
% 8.48/2.15  tff(f61178,plain,(
% 8.48/2.15    ( ! [X2 : nat] : (iG887(X2,$true) | one_one(nat) != X2) )),
% 8.48/2.15    inference(equality_resolution,[],[f44011])).
% 8.48/2.15  tff(f44011,plain,(
% 8.48/2.15    ( ! [X2 : nat,X3 : $o] : (iG887(X2,X3) | ($true != X3) | one_one(nat) != X2) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36084])).
% 8.48/2.15  tff(f44012,plain,(
% 8.48/2.15    ( ! [X0 : nat,X1 : $o] : (~iG887(X0,X1) | one_one(nat) = X0) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36084])).
% 8.48/2.15  tff(f61177,plain,(
% 8.48/2.15    ( ! [X4 : $o,X5 : $o] : (($true = X5) | ~iG888(zero_zero(nat),X4,X5)) )),
% 8.48/2.15    inference(equality_resolution,[],[f44006])).
% 8.48/2.15  tff(f44006,plain,(
% 8.48/2.15    ( ! [X3 : nat,X4 : $o,X5 : $o] : (($true = X5) | ~iG888(X3,X4,X5) | zero_zero(nat) != X3) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36083])).
% 8.48/2.15  tff(f36083,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : $o,X2 : $o] : (((iG888(X0,X1,X2) | ~iG887(X0,X1)) & (iG887(X0,X1) | ~iG888(X0,X1,X2))) | zero_zero(nat) = X0) & ! [X3 : nat,X4 : $o,X5 : $o] : (((iG888(X3,X4,X5) | ($true != X5)) & (($true = X5) | ~iG888(X3,X4,X5))) | zero_zero(nat) != X3)),
% 8.48/2.15    inference(nnf_transformation,[],[f25963])).
% 8.48/2.15  tff(f25963,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : $o,X2 : $o] : ((iG888(X0,X1,X2) <=> iG887(X0,X1)) | zero_zero(nat) = X0) & ! [X3 : nat,X4 : $o,X5 : $o] : ((iG888(X3,X4,X5) <=> ($true = X5)) | zero_zero(nat) != X3)),
% 8.48/2.15    inference(ennf_transformation,[],[f19878])).
% 8.48/2.15  tff(f19878,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : $o,X2 : $o] : (zero_zero(nat) != X0 => (iG888(X0,X1,X2) <=> iG887(X0,X1))) & ! [X3 : nat,X4 : $o,X5 : $o] : (zero_zero(nat) = X3 => (iG888(X3,X4,X5) <=> ($true = X5)))),
% 8.48/2.15    inference(flattening,[],[f19877])).
% 8.48/2.15  tff(f19877,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : $o,X2 : $o] : (~zero_zero(nat) = X0 => (iG888(X0,X1,X2) <=> iG887(X0,X1))) & ! [X3 : nat,X4 : $o,X5 : $o] : (zero_zero(nat) = X3 => (iG888(X3,X4,X5) <=> ($true = X5)))),
% 8.48/2.15    inference(rectify,[],[f17399])).
% 8.48/2.15  tff(f17399,plain,(
% 8.48/2.15    ! [X1 : nat,X4 : $o,X3 : $o] : (~zero_zero(nat) = X1 => (iG888(X1,X4,X3) <=> iG887(X1,X4))) & ! [X1 : nat,X4 : $o,X3 : $o] : (zero_zero(nat) = X1 => (iG888(X1,X4,X3) <=> ($true = X3)))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG888])])).
% 8.48/2.15  tff(f61176,plain,(
% 8.48/2.15    ( ! [X4 : $o] : (iG888(zero_zero(nat),X4,$true)) )),
% 8.48/2.15    inference(equality_resolution,[],[f61175])).
% 8.48/2.15  tff(f61175,plain,(
% 8.48/2.15    ( ! [X3 : nat,X4 : $o] : (iG888(X3,X4,$true) | zero_zero(nat) != X3) )),
% 8.48/2.15    inference(equality_resolution,[],[f44007])).
% 8.48/2.15  tff(f44007,plain,(
% 8.48/2.15    ( ! [X3 : nat,X4 : $o,X5 : $o] : (iG888(X3,X4,X5) | ($true != X5) | zero_zero(nat) != X3) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36083])).
% 8.48/2.15  tff(f44008,plain,(
% 8.48/2.15    ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG887(X0,X1) | ~iG888(X0,X1,X2) | zero_zero(nat) = X0) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36083])).
% 8.48/2.15  tff(f44009,plain,(
% 8.48/2.15    ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG888(X0,X1,X2) | ~iG887(X0,X1) | zero_zero(nat) = X0) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36083])).
% 8.48/2.15  tff(f44005,plain,(
% 8.48/2.15    ( ! [X0 : nat,X1 : nat] : (vEBT_VEBT_high(X0,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X1)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG889(X0,X1)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f19876])).
% 8.48/2.15  tff(f19876,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : vEBT_VEBT_high(X0,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X1)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG889(X0,X1)),
% 8.48/2.15    inference(rectify,[],[f17400])).
% 8.48/2.15  tff(f17400,plain,(
% 8.48/2.15    ! [X1 : nat,X16 : nat] : vEBT_VEBT_high(X1,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X16)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG889(X1,X16)),
% 8.48/2.15    introduced(fool_let_definition,[new_symbols(definition,[lG889])])).
% 8.48/2.15  tff(f44002,plain,(
% 8.48/2.15    ( ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG889(X5,X4))),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X4)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) | ~iG890(X3,X4,X5) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG889(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3)))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36082])).
% 8.48/2.15  tff(f36082,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~iG890(X0,X1,X2) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG889(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (((iG890(X3,X4,X5) | ($true != aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG889(X5,X4))),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X4)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))) & (($true = aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG889(X5,X4))),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X4)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) | ~iG890(X3,X4,X5))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG889(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))),
% 8.48/2.15    inference(nnf_transformation,[],[f25962])).
% 8.48/2.15  tff(f25962,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~iG890(X0,X1,X2) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG889(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : ((iG890(X3,X4,X5) <=> ($true = aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG889(X5,X4))),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X4)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG889(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))),
% 8.48/2.15    inference(ennf_transformation,[],[f19875])).
% 8.48/2.15  tff(f19875,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG889(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => ~iG890(X0,X1,X2)) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG889(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (iG890(X3,X4,X5) <=> ($true = aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG889(X5,X4))),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X4)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))))),
% 8.48/2.15    inference(flattening,[],[f19874])).
% 8.48/2.15  tff(f19874,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG889(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => ~iG890(X0,X1,X2)) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG889(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (iG890(X3,X4,X5) <=> ($true = aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG889(X5,X4))),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X4)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))))),
% 8.48/2.15    inference(true_and_false_elimination,[],[f19873])).
% 8.48/2.15  tff(f19873,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG889(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => (iG890(X0,X1,X2) <=> $false)) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG889(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (iG890(X3,X4,X5) <=> ($true = aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG889(X5,X4))),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X4)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))))),
% 8.48/2.15    inference(rectify,[],[f17401])).
% 8.48/2.15  tff(f17401,plain,(
% 8.48/2.15    ! [X17 : list(vEBT_VEBT),X16 : nat,X1 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG889(X1,X16)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X17))) => (iG890(X17,X16,X1) <=> $false)) & ! [X17 : list(vEBT_VEBT),X16 : nat,X1 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG889(X1,X16)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X17))) => (iG890(X17,X16,X1) <=> ($true = aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X17),lG889(X1,X16))),vEBT_VEBT_low(X1,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X16)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG890])])).
% 8.48/2.15  tff(f44003,plain,(
% 8.48/2.15    ( ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (iG890(X3,X4,X5) | ($true != aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG889(X5,X4))),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X4)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG889(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3)))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36082])).
% 8.48/2.15  tff(f44004,plain,(
% 8.48/2.15    ( ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (~iG890(X0,X1,X2) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG889(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36082])).
% 8.48/2.15  tff(f43999,plain,(
% 8.48/2.15    ( ! [X6 : nat,X7 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (~iG891(X4,X5,X6,X7) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),X4))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36081])).
% 8.48/2.15  tff(f36081,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT)] : (((iG891(X0,X1,X2,X3) | ~iG890(X3,X2,X0)) & (iG890(X3,X2,X0) | ~iG891(X0,X1,X2,X3))) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) & ! [X4 : nat,X5 : nat,X6 : nat,X7 : list(vEBT_VEBT)] : (~iG891(X4,X5,X6,X7) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),X4)))),
% 8.48/2.15    inference(nnf_transformation,[],[f25961])).
% 8.48/2.15  tff(f25961,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT)] : ((iG891(X0,X1,X2,X3) <=> iG890(X3,X2,X0)) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) & ! [X4 : nat,X5 : nat,X6 : nat,X7 : list(vEBT_VEBT)] : (~iG891(X4,X5,X6,X7) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),X4)))),
% 8.48/2.15    inference(ennf_transformation,[],[f19872])).
% 8.48/2.15  tff(f19872,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT)] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) => (iG891(X0,X1,X2,X3) <=> iG890(X3,X2,X0))) & ! [X4 : nat,X5 : nat,X6 : nat,X7 : list(vEBT_VEBT)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),X4)) => ~iG891(X4,X5,X6,X7))),
% 8.48/2.15    inference(flattening,[],[f19871])).
% 8.48/2.15  tff(f19871,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT)] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) => (iG891(X0,X1,X2,X3) <=> iG890(X3,X2,X0))) & ! [X4 : nat,X5 : nat,X6 : nat,X7 : list(vEBT_VEBT)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),X4)) => ~iG891(X4,X5,X6,X7))),
% 8.48/2.15    inference(true_and_false_elimination,[],[f19870])).
% 8.48/2.15  tff(f19870,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT)] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) => (iG891(X0,X1,X2,X3) <=> iG890(X3,X2,X0))) & ! [X4 : nat,X5 : nat,X6 : nat,X7 : list(vEBT_VEBT)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),X4)) => (iG891(X4,X5,X6,X7) <=> $false))),
% 8.48/2.15    inference(rectify,[],[f17402])).
% 8.48/2.15  tff(f17402,plain,(
% 8.48/2.15    ! [X1 : nat,X15 : nat,X16 : nat,X17 : list(vEBT_VEBT)] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X15),X1)) => (iG891(X1,X15,X16,X17) <=> iG890(X17,X16,X1))) & ! [X1 : nat,X15 : nat,X16 : nat,X17 : list(vEBT_VEBT)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X15),X1)) => (iG891(X1,X15,X16,X17) <=> $false))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG891])])).
% 8.48/2.15  tff(f44000,plain,(
% 8.48/2.15    ( ! [X2 : nat,X3 : list(vEBT_VEBT),X0 : nat,X1 : nat] : (iG890(X3,X2,X0) | ~iG891(X0,X1,X2,X3) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36081])).
% 8.48/2.15  tff(f44001,plain,(
% 8.48/2.15    ( ! [X2 : nat,X3 : list(vEBT_VEBT),X0 : nat,X1 : nat] : (iG891(X0,X1,X2,X3) | ~iG890(X3,X2,X0) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36081])).
% 8.48/2.15  tff(f43996,plain,(
% 8.48/2.15    ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat,X5 : nat] : (~iG892(X5,X6,X7,X8,X9) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X5))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36080])).
% 8.48/2.15  tff(f36080,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (((iG892(X0,X1,X2,X3,X4) | ~iG891(X1,X2,X3,X4)) & (iG891(X1,X2,X3,X4) | ~iG892(X0,X1,X2,X3,X4))) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (~iG892(X5,X6,X7,X8,X9) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X5)))),
% 8.48/2.15    inference(nnf_transformation,[],[f25960])).
% 8.48/2.15  tff(f25960,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : ((iG892(X0,X1,X2,X3,X4) <=> iG891(X1,X2,X3,X4)) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (~iG892(X5,X6,X7,X8,X9) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X5)))),
% 8.48/2.15    inference(ennf_transformation,[],[f19869])).
% 8.48/2.15  tff(f19869,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) => (iG892(X0,X1,X2,X3,X4) <=> iG891(X1,X2,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X5)) => ~iG892(X5,X6,X7,X8,X9))),
% 8.48/2.15    inference(flattening,[],[f19868])).
% 8.48/2.15  tff(f19868,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) => (iG892(X0,X1,X2,X3,X4) <=> iG891(X1,X2,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X5)) => ~iG892(X5,X6,X7,X8,X9))),
% 8.48/2.15    inference(true_and_false_elimination,[],[f19867])).
% 8.48/2.15  tff(f19867,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) => (iG892(X0,X1,X2,X3,X4) <=> iG891(X1,X2,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X5)) => (iG892(X5,X6,X7,X8,X9) <=> $false))),
% 8.48/2.15    inference(rectify,[],[f17403])).
% 8.48/2.15  tff(f17403,plain,(
% 8.48/2.15    ! [X14 : nat,X1 : nat,X15 : nat,X16 : nat,X17 : list(vEBT_VEBT)] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X14)) => (iG892(X14,X1,X15,X16,X17) <=> iG891(X1,X15,X16,X17))) & ! [X14 : nat,X1 : nat,X15 : nat,X16 : nat,X17 : list(vEBT_VEBT)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X14)) => (iG892(X14,X1,X15,X16,X17) <=> $false))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG892])])).
% 8.48/2.15  tff(f43997,plain,(
% 8.48/2.15    ( ! [X2 : nat,X3 : nat,X0 : nat,X1 : nat,X4 : list(vEBT_VEBT)] : (iG891(X1,X2,X3,X4) | ~iG892(X0,X1,X2,X3,X4) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36080])).
% 8.48/2.15  tff(f43998,plain,(
% 8.48/2.15    ( ! [X2 : nat,X3 : nat,X0 : nat,X1 : nat,X4 : list(vEBT_VEBT)] : (iG892(X0,X1,X2,X3,X4) | ~iG891(X1,X2,X3,X4) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36080])).
% 8.48/2.15  tff(f61174,plain,(
% 8.48/2.15    ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat] : (iG893(X6,X6,X7,X8,X9)) )),
% 8.48/2.15    inference(equality_resolution,[],[f43993])).
% 8.48/2.15  tff(f43993,plain,(
% 8.48/2.15    ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat,X5 : nat] : (iG893(X5,X6,X7,X8,X9) | X5 != X6) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36079])).
% 8.48/2.15  tff(f36079,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (((iG893(X0,X1,X2,X3,X4) | ~iG892(X2,X1,X0,X3,X4)) & (iG892(X2,X1,X0,X3,X4) | ~iG893(X0,X1,X2,X3,X4))) | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (iG893(X5,X6,X7,X8,X9) | X5 != X6)),
% 8.48/2.15    inference(nnf_transformation,[],[f25959])).
% 8.48/2.15  tff(f25959,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : ((iG893(X0,X1,X2,X3,X4) <=> iG892(X2,X1,X0,X3,X4)) | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (iG893(X5,X6,X7,X8,X9) | X5 != X6)),
% 8.48/2.15    inference(ennf_transformation,[],[f19866])).
% 8.48/2.15  tff(f19866,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (X0 != X1 => (iG893(X0,X1,X2,X3,X4) <=> iG892(X2,X1,X0,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => iG893(X5,X6,X7,X8,X9))),
% 8.48/2.15    inference(flattening,[],[f19865])).
% 8.48/2.15  tff(f19865,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (~X0 = X1 => (iG893(X0,X1,X2,X3,X4) <=> iG892(X2,X1,X0,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => iG893(X5,X6,X7,X8,X9))),
% 8.48/2.15    inference(true_and_false_elimination,[],[f19864])).
% 8.48/2.15  tff(f19864,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (~X0 = X1 => (iG893(X0,X1,X2,X3,X4) <=> iG892(X2,X1,X0,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => (iG893(X5,X6,X7,X8,X9) <=> $true))),
% 8.48/2.15    inference(rectify,[],[f17404])).
% 8.48/2.15  tff(f17404,plain,(
% 8.48/2.15    ! [X15 : nat,X1 : nat,X14 : nat,X16 : nat,X17 : list(vEBT_VEBT)] : (~X1 = X15 => (iG893(X15,X1,X14,X16,X17) <=> iG892(X14,X1,X15,X16,X17))) & ! [X15 : nat,X1 : nat,X14 : nat,X16 : nat,X17 : list(vEBT_VEBT)] : (X1 = X15 => (iG893(X15,X1,X14,X16,X17) <=> $true))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG893])])).
% 8.48/2.15  tff(f43994,plain,(
% 8.48/2.15    ( ! [X2 : nat,X3 : nat,X0 : nat,X1 : nat,X4 : list(vEBT_VEBT)] : (iG892(X2,X1,X0,X3,X4) | ~iG893(X0,X1,X2,X3,X4) | X0 = X1) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36079])).
% 8.48/2.15  tff(f43995,plain,(
% 8.48/2.15    ( ! [X2 : nat,X3 : nat,X0 : nat,X1 : nat,X4 : list(vEBT_VEBT)] : (iG893(X0,X1,X2,X3,X4) | ~iG892(X2,X1,X0,X3,X4) | X0 = X1) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36079])).
% 8.48/2.15  tff(f61173,plain,(
% 8.48/2.15    ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat] : (iG894(X6,X6,X7,X8,X9)) )),
% 8.48/2.15    inference(equality_resolution,[],[f43990])).
% 8.48/2.15  tff(f43990,plain,(
% 8.48/2.15    ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat,X5 : nat] : (iG894(X5,X6,X7,X8,X9) | X5 != X6) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36078])).
% 8.48/2.15  tff(f36078,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (((iG894(X0,X1,X2,X3,X4) | ~iG893(X2,X1,X0,X3,X4)) & (iG893(X2,X1,X0,X3,X4) | ~iG894(X0,X1,X2,X3,X4))) | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (iG894(X5,X6,X7,X8,X9) | X5 != X6)),
% 8.48/2.15    inference(nnf_transformation,[],[f25958])).
% 8.48/2.15  tff(f25958,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : ((iG894(X0,X1,X2,X3,X4) <=> iG893(X2,X1,X0,X3,X4)) | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (iG894(X5,X6,X7,X8,X9) | X5 != X6)),
% 8.48/2.15    inference(ennf_transformation,[],[f19863])).
% 8.48/2.15  tff(f19863,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (X0 != X1 => (iG894(X0,X1,X2,X3,X4) <=> iG893(X2,X1,X0,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => iG894(X5,X6,X7,X8,X9))),
% 8.48/2.15    inference(flattening,[],[f19862])).
% 8.48/2.15  tff(f19862,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (~X0 = X1 => (iG894(X0,X1,X2,X3,X4) <=> iG893(X2,X1,X0,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => iG894(X5,X6,X7,X8,X9))),
% 8.48/2.15    inference(true_and_false_elimination,[],[f19861])).
% 8.48/2.15  tff(f19861,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (~X0 = X1 => (iG894(X0,X1,X2,X3,X4) <=> iG893(X2,X1,X0,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => (iG894(X5,X6,X7,X8,X9) <=> $true))),
% 8.48/2.15    inference(rectify,[],[f17405])).
% 8.48/2.15  tff(f17405,plain,(
% 8.48/2.15    ! [X14 : nat,X1 : nat,X15 : nat,X16 : nat,X17 : list(vEBT_VEBT)] : (~X1 = X14 => (iG894(X14,X1,X15,X16,X17) <=> iG893(X15,X1,X14,X16,X17))) & ! [X14 : nat,X1 : nat,X15 : nat,X16 : nat,X17 : list(vEBT_VEBT)] : (X1 = X14 => (iG894(X14,X1,X15,X16,X17) <=> $true))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG894])])).
% 8.48/2.15  tff(f43991,plain,(
% 8.48/2.15    ( ! [X2 : nat,X3 : nat,X0 : nat,X1 : nat,X4 : list(vEBT_VEBT)] : (iG893(X2,X1,X0,X3,X4) | ~iG894(X0,X1,X2,X3,X4) | X0 = X1) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36078])).
% 8.48/2.15  tff(f43992,plain,(
% 8.48/2.15    ( ! [X2 : nat,X3 : nat,X0 : nat,X1 : nat,X4 : list(vEBT_VEBT)] : (iG894(X0,X1,X2,X3,X4) | ~iG893(X2,X1,X0,X3,X4) | X0 = X1) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36078])).
% 8.48/2.15  tff(f61172,plain,(
% 8.48/2.15    ($true = bG895($true))),
% 8.48/2.15    inference(equality_resolution,[],[f43988])).
% 8.48/2.15  tff(f43988,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG895(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36077])).
% 8.48/2.15  tff(f36077,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG895(X0))) & (($true = bG895(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f19860])).
% 8.48/2.15  tff(f19860,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG895(X0)))),
% 8.48/2.15    inference(rectify,[],[f17408])).
% 8.48/2.15  tff(f17408,plain,(
% 8.48/2.15    ! [X3 : $o] : (($true = X3) <=> ($true = bG895(X3)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG895])])).
% 8.48/2.15  tff(f43989,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG895(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36077])).
% 8.48/2.15  tff(f61171,plain,(
% 8.48/2.15    ($true = bG896($true))),
% 8.48/2.15    inference(equality_resolution,[],[f43986])).
% 8.48/2.15  tff(f43986,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG896(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36076])).
% 8.48/2.15  tff(f36076,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG896(X0))) & (($true = bG896(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f19859])).
% 8.48/2.15  tff(f19859,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG896(X0)))),
% 8.48/2.15    inference(rectify,[],[f17409])).
% 8.48/2.15  tff(f17409,plain,(
% 8.48/2.15    ! [X4 : $o] : (($true = X4) <=> ($true = bG896(X4)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG896])])).
% 8.48/2.15  tff(f43987,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG896(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36076])).
% 8.48/2.15  tff(f61170,plain,(
% 8.48/2.15    ($true = bG897($true))),
% 8.48/2.15    inference(equality_resolution,[],[f43984])).
% 8.48/2.15  tff(f43984,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG897(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36075])).
% 8.48/2.15  tff(f36075,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG897(X0))) & (($true = bG897(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f19858])).
% 8.48/2.15  tff(f19858,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG897(X0)))),
% 8.48/2.15    inference(rectify,[],[f17410])).
% 8.48/2.15  tff(f17410,plain,(
% 8.48/2.15    ! [X3 : $o] : (($true = X3) <=> ($true = bG897(X3)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG897])])).
% 8.48/2.15  tff(f43985,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG897(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36075])).
% 8.48/2.15  tff(f61169,plain,(
% 8.48/2.15    ($true = bG898($true))),
% 8.48/2.15    inference(equality_resolution,[],[f43982])).
% 8.48/2.15  tff(f43982,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG898(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36074])).
% 8.48/2.15  tff(f36074,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG898(X0))) & (($true = bG898(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f19857])).
% 8.48/2.15  tff(f19857,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG898(X0)))),
% 8.48/2.15    inference(rectify,[],[f17411])).
% 8.48/2.15  tff(f17411,plain,(
% 8.48/2.15    ! [X4 : $o] : (($true = X4) <=> ($true = bG898(X4)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG898])])).
% 8.48/2.15  tff(f43983,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG898(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36074])).
% 8.48/2.15  tff(f61168,plain,(
% 8.48/2.15    ( ! [X3 : $o] : ((bG898(X3) = iG899(one_one(nat),X3))) )),
% 8.48/2.15    inference(equality_resolution,[],[f43980])).
% 8.48/2.15  tff(f43980,plain,(
% 8.48/2.15    ( ! [X2 : nat,X3 : $o] : ((bG898(X3) = iG899(X2,X3)) | one_one(nat) != X2) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25957])).
% 8.48/2.15  tff(f25957,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : $o] : (($false = iG899(X0,X1)) | one_one(nat) = X0) & ! [X2 : nat,X3 : $o] : ((bG898(X3) = iG899(X2,X3)) | one_one(nat) != X2)),
% 8.48/2.15    inference(ennf_transformation,[],[f19856])).
% 8.48/2.15  tff(f19856,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : $o] : (one_one(nat) != X0 => ($false = iG899(X0,X1))) & ! [X2 : nat,X3 : $o] : (one_one(nat) = X2 => (bG898(X3) = iG899(X2,X3)))),
% 8.48/2.15    inference(flattening,[],[f19855])).
% 8.48/2.15  tff(f19855,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : $o] : (~one_one(nat) = X0 => ($false = iG899(X0,X1))) & ! [X2 : nat,X3 : $o] : (one_one(nat) = X2 => (bG898(X3) = iG899(X2,X3)))),
% 8.48/2.15    inference(rectify,[],[f17412])).
% 8.48/2.15  tff(f17412,plain,(
% 8.48/2.15    ! [X1 : nat,X4 : $o] : (~one_one(nat) = X1 => ($false = iG899(X1,X4))) & ! [X1 : nat,X4 : $o] : (one_one(nat) = X1 => (bG898(X4) = iG899(X1,X4)))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG899])])).
% 8.48/2.15  tff(f43981,plain,(
% 8.48/2.15    ( ! [X0 : nat,X1 : $o] : (($false = iG899(X0,X1)) | one_one(nat) = X0) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25957])).
% 8.48/2.15  tff(f61167,plain,(
% 8.48/2.15    ( ! [X4 : $o,X5 : $o] : ((bG897(X5) = iG900(zero_zero(nat),X4,X5))) )),
% 8.48/2.15    inference(equality_resolution,[],[f43978])).
% 8.48/2.15  tff(f43978,plain,(
% 8.48/2.15    ( ! [X3 : nat,X4 : $o,X5 : $o] : ((bG897(X5) = iG900(X3,X4,X5)) | zero_zero(nat) != X3) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25956])).
% 8.48/2.15  tff(f25956,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : $o,X2 : $o] : ((iG899(X0,X1) = iG900(X0,X1,X2)) | zero_zero(nat) = X0) & ! [X3 : nat,X4 : $o,X5 : $o] : ((bG897(X5) = iG900(X3,X4,X5)) | zero_zero(nat) != X3)),
% 8.48/2.15    inference(ennf_transformation,[],[f19854])).
% 8.48/2.15  tff(f19854,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : $o,X2 : $o] : (zero_zero(nat) != X0 => (iG899(X0,X1) = iG900(X0,X1,X2))) & ! [X3 : nat,X4 : $o,X5 : $o] : (zero_zero(nat) = X3 => (bG897(X5) = iG900(X3,X4,X5)))),
% 8.48/2.15    inference(flattening,[],[f19853])).
% 8.48/2.15  tff(f19853,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : $o,X2 : $o] : (~zero_zero(nat) = X0 => (iG899(X0,X1) = iG900(X0,X1,X2))) & ! [X3 : nat,X4 : $o,X5 : $o] : (zero_zero(nat) = X3 => (bG897(X5) = iG900(X3,X4,X5)))),
% 8.48/2.15    inference(rectify,[],[f17413])).
% 8.48/2.15  tff(f17413,plain,(
% 8.48/2.15    ! [X1 : nat,X4 : $o,X3 : $o] : (~zero_zero(nat) = X1 => (iG899(X1,X4) = iG900(X1,X4,X3))) & ! [X1 : nat,X4 : $o,X3 : $o] : (zero_zero(nat) = X1 => (bG897(X3) = iG900(X1,X4,X3)))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG900])])).
% 8.48/2.15  tff(f43979,plain,(
% 8.48/2.15    ( ! [X2 : $o,X0 : nat,X1 : $o] : ((iG899(X0,X1) = iG900(X0,X1,X2)) | zero_zero(nat) = X0) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25956])).
% 8.48/2.15  tff(f61166,plain,(
% 8.48/2.15    ($true = bG901($true))),
% 8.48/2.15    inference(equality_resolution,[],[f43976])).
% 8.48/2.15  tff(f43976,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG901(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36073])).
% 8.48/2.15  tff(f36073,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG901(X0))) & (($true = bG901(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f19852])).
% 8.48/2.15  tff(f19852,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG901(X0)))),
% 8.48/2.15    inference(rectify,[],[f17414])).
% 8.48/2.15  tff(f17414,plain,(
% 8.48/2.15    ! [X3 : $o] : (($true = X3) <=> ($true = bG901(X3)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG901])])).
% 8.48/2.15  tff(f43977,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG901(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36073])).
% 8.48/2.15  tff(f61165,plain,(
% 8.48/2.15    ($true = bG902($true))),
% 8.48/2.15    inference(equality_resolution,[],[f43974])).
% 8.48/2.15  tff(f43974,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG902(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36072])).
% 8.48/2.15  tff(f36072,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG902(X0))) & (($true = bG902(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f19851])).
% 8.48/2.15  tff(f19851,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG902(X0)))),
% 8.48/2.15    inference(rectify,[],[f17415])).
% 8.48/2.15  tff(f17415,plain,(
% 8.48/2.15    ! [X4 : $o] : (($true = X4) <=> ($true = bG902(X4)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG902])])).
% 8.48/2.15  tff(f43975,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG902(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36072])).
% 8.48/2.15  tff(f43973,plain,(
% 8.48/2.15    ( ! [X0 : nat,X1 : nat] : (vEBT_VEBT_high(X0,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X1)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG903(X0,X1)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f19850])).
% 8.48/2.15  tff(f19850,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : vEBT_VEBT_high(X0,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X1)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG903(X0,X1)),
% 8.48/2.15    inference(rectify,[],[f17416])).
% 8.48/2.15  tff(f17416,plain,(
% 8.48/2.15    ! [X1 : nat,X16 : nat] : vEBT_VEBT_high(X1,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X16)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG903(X1,X16)),
% 8.48/2.15    introduced(fool_let_definition,[new_symbols(definition,[lG903])])).
% 8.48/2.15  tff(f43971,plain,(
% 8.48/2.15    ( ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : ((aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG903(X5,X4))),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X4)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) = iG904(X3,X4,X5)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG903(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3)))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25955])).
% 8.48/2.15  tff(f25955,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (($false = iG904(X0,X1,X2)) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG903(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : ((aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG903(X5,X4))),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X4)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) = iG904(X3,X4,X5)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG903(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))),
% 8.48/2.15    inference(ennf_transformation,[],[f19849])).
% 8.48/2.15  tff(f19849,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG903(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => ($false = iG904(X0,X1,X2))) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG903(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG903(X5,X4))),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X4)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) = iG904(X3,X4,X5)))),
% 8.48/2.15    inference(flattening,[],[f19848])).
% 8.48/2.15  tff(f19848,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG903(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => ($false = iG904(X0,X1,X2))) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG903(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG903(X5,X4))),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X4)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) = iG904(X3,X4,X5)))),
% 8.48/2.15    inference(rectify,[],[f17417])).
% 8.48/2.15  tff(f17417,plain,(
% 8.48/2.15    ! [X17 : list(vEBT_VEBT),X16 : nat,X1 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG903(X1,X16)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X17))) => ($false = iG904(X17,X16,X1))) & ! [X17 : list(vEBT_VEBT),X16 : nat,X1 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG903(X1,X16)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X17))) => (aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X17),lG903(X1,X16))),vEBT_VEBT_low(X1,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X16)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) = iG904(X17,X16,X1)))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG904])])).
% 8.48/2.15  tff(f43972,plain,(
% 8.48/2.15    ( ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (($false = iG904(X0,X1,X2)) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG903(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25955])).
% 8.48/2.15  tff(f43969,plain,(
% 8.48/2.15    ( ! [X6 : nat,X7 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($false = iG905(X4,X5,X6,X7)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),X4))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25954])).
% 8.48/2.15  tff(f25954,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT)] : ((iG904(X3,X2,X0) = iG905(X0,X1,X2,X3)) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) & ! [X4 : nat,X5 : nat,X6 : nat,X7 : list(vEBT_VEBT)] : (($false = iG905(X4,X5,X6,X7)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),X4)))),
% 8.48/2.15    inference(ennf_transformation,[],[f19847])).
% 8.48/2.15  tff(f19847,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT)] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) => (iG904(X3,X2,X0) = iG905(X0,X1,X2,X3))) & ! [X4 : nat,X5 : nat,X6 : nat,X7 : list(vEBT_VEBT)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),X4)) => ($false = iG905(X4,X5,X6,X7)))),
% 8.48/2.15    inference(flattening,[],[f19846])).
% 8.48/2.15  tff(f19846,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT)] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) => (iG904(X3,X2,X0) = iG905(X0,X1,X2,X3))) & ! [X4 : nat,X5 : nat,X6 : nat,X7 : list(vEBT_VEBT)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),X4)) => ($false = iG905(X4,X5,X6,X7)))),
% 8.48/2.15    inference(rectify,[],[f17418])).
% 8.48/2.15  tff(f17418,plain,(
% 8.48/2.15    ! [X1 : nat,X15 : nat,X16 : nat,X17 : list(vEBT_VEBT)] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X15),X1)) => (iG904(X17,X16,X1) = iG905(X1,X15,X16,X17))) & ! [X1 : nat,X15 : nat,X16 : nat,X17 : list(vEBT_VEBT)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X15),X1)) => ($false = iG905(X1,X15,X16,X17)))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG905])])).
% 8.48/2.15  tff(f43970,plain,(
% 8.48/2.15    ( ! [X2 : nat,X3 : list(vEBT_VEBT),X0 : nat,X1 : nat] : ((iG904(X3,X2,X0) = iG905(X0,X1,X2,X3)) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25954])).
% 8.48/2.15  tff(f43967,plain,(
% 8.48/2.15    ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat,X5 : nat] : (($false = iG906(X5,X6,X7,X8,X9)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X5))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25953])).
% 8.48/2.15  tff(f25953,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : ((iG905(X1,X2,X3,X4) = iG906(X0,X1,X2,X3,X4)) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (($false = iG906(X5,X6,X7,X8,X9)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X5)))),
% 8.48/2.15    inference(ennf_transformation,[],[f19845])).
% 8.48/2.15  tff(f19845,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) => (iG905(X1,X2,X3,X4) = iG906(X0,X1,X2,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X5)) => ($false = iG906(X5,X6,X7,X8,X9)))),
% 8.48/2.15    inference(flattening,[],[f19844])).
% 8.48/2.15  tff(f19844,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) => (iG905(X1,X2,X3,X4) = iG906(X0,X1,X2,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X5)) => ($false = iG906(X5,X6,X7,X8,X9)))),
% 8.48/2.15    inference(rectify,[],[f17419])).
% 8.48/2.15  tff(f17419,plain,(
% 8.48/2.15    ! [X14 : nat,X1 : nat,X15 : nat,X16 : nat,X17 : list(vEBT_VEBT)] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X14)) => (iG905(X1,X15,X16,X17) = iG906(X14,X1,X15,X16,X17))) & ! [X14 : nat,X1 : nat,X15 : nat,X16 : nat,X17 : list(vEBT_VEBT)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X14)) => ($false = iG906(X14,X1,X15,X16,X17)))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG906])])).
% 8.48/2.15  tff(f43968,plain,(
% 8.48/2.15    ( ! [X2 : nat,X3 : nat,X0 : nat,X1 : nat,X4 : list(vEBT_VEBT)] : ((iG905(X1,X2,X3,X4) = iG906(X0,X1,X2,X3,X4)) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25953])).
% 8.48/2.15  tff(f61164,plain,(
% 8.48/2.15    ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat] : (($true = iG907(X6,X6,X7,X8,X9))) )),
% 8.48/2.15    inference(equality_resolution,[],[f43965])).
% 8.48/2.15  tff(f43965,plain,(
% 8.48/2.15    ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat,X5 : nat] : (($true = iG907(X5,X6,X7,X8,X9)) | X5 != X6) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25952])).
% 8.48/2.15  tff(f25952,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : ((iG906(X2,X1,X0,X3,X4) = iG907(X0,X1,X2,X3,X4)) | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (($true = iG907(X5,X6,X7,X8,X9)) | X5 != X6)),
% 8.48/2.15    inference(ennf_transformation,[],[f19843])).
% 8.48/2.15  tff(f19843,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (X0 != X1 => (iG906(X2,X1,X0,X3,X4) = iG907(X0,X1,X2,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => ($true = iG907(X5,X6,X7,X8,X9)))),
% 8.48/2.15    inference(flattening,[],[f19842])).
% 8.48/2.15  tff(f19842,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (~X0 = X1 => (iG906(X2,X1,X0,X3,X4) = iG907(X0,X1,X2,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => ($true = iG907(X5,X6,X7,X8,X9)))),
% 8.48/2.15    inference(rectify,[],[f17420])).
% 8.48/2.15  tff(f17420,plain,(
% 8.48/2.15    ! [X15 : nat,X1 : nat,X14 : nat,X16 : nat,X17 : list(vEBT_VEBT)] : (~X1 = X15 => (iG906(X14,X1,X15,X16,X17) = iG907(X15,X1,X14,X16,X17))) & ! [X15 : nat,X1 : nat,X14 : nat,X16 : nat,X17 : list(vEBT_VEBT)] : (X1 = X15 => ($true = iG907(X15,X1,X14,X16,X17)))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG907])])).
% 8.48/2.15  tff(f43966,plain,(
% 8.48/2.15    ( ! [X2 : nat,X3 : nat,X0 : nat,X1 : nat,X4 : list(vEBT_VEBT)] : ((iG906(X2,X1,X0,X3,X4) = iG907(X0,X1,X2,X3,X4)) | X0 = X1) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25952])).
% 8.48/2.15  tff(f61163,plain,(
% 8.48/2.15    ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat] : (($true = iG908(X6,X6,X7,X8,X9))) )),
% 8.48/2.15    inference(equality_resolution,[],[f43963])).
% 8.48/2.15  tff(f43963,plain,(
% 8.48/2.15    ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat,X5 : nat] : (($true = iG908(X5,X6,X7,X8,X9)) | X5 != X6) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25951])).
% 8.48/2.15  tff(f25951,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : ((iG907(X2,X1,X0,X3,X4) = iG908(X0,X1,X2,X3,X4)) | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (($true = iG908(X5,X6,X7,X8,X9)) | X5 != X6)),
% 8.48/2.15    inference(ennf_transformation,[],[f19841])).
% 8.48/2.15  tff(f19841,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (X0 != X1 => (iG907(X2,X1,X0,X3,X4) = iG908(X0,X1,X2,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => ($true = iG908(X5,X6,X7,X8,X9)))),
% 8.48/2.15    inference(flattening,[],[f19840])).
% 8.48/2.15  tff(f19840,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (~X0 = X1 => (iG907(X2,X1,X0,X3,X4) = iG908(X0,X1,X2,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => ($true = iG908(X5,X6,X7,X8,X9)))),
% 8.48/2.15    inference(rectify,[],[f17421])).
% 8.48/2.15  tff(f17421,plain,(
% 8.48/2.15    ! [X14 : nat,X1 : nat,X15 : nat,X16 : nat,X17 : list(vEBT_VEBT)] : (~X1 = X14 => (iG907(X15,X1,X14,X16,X17) = iG908(X14,X1,X15,X16,X17))) & ! [X14 : nat,X1 : nat,X15 : nat,X16 : nat,X17 : list(vEBT_VEBT)] : (X1 = X14 => ($true = iG908(X14,X1,X15,X16,X17)))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG908])])).
% 8.48/2.15  tff(f43964,plain,(
% 8.48/2.15    ( ! [X2 : nat,X3 : nat,X0 : nat,X1 : nat,X4 : list(vEBT_VEBT)] : ((iG907(X2,X1,X0,X3,X4) = iG908(X0,X1,X2,X3,X4)) | X0 = X1) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25951])).
% 8.48/2.15  tff(f43961,plain,(
% 8.48/2.15    ( ! [X2 : int,X3 : int] : (one_one(int) = iG909(X2,X3) | zero_zero(int) != modulo_modulo(int,X3,X2)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25950])).
% 8.48/2.15  tff(f25950,plain,(
% 8.48/2.15    ! [X0 : int,X1 : int] : (zero_zero(int) = iG909(X0,X1) | zero_zero(int) = modulo_modulo(int,X1,X0)) & ! [X2 : int,X3 : int] : (one_one(int) = iG909(X2,X3) | zero_zero(int) != modulo_modulo(int,X3,X2))),
% 8.48/2.15    inference(ennf_transformation,[],[f19839])).
% 8.48/2.15  tff(f19839,plain,(
% 8.48/2.15    ! [X0 : int,X1 : int] : (zero_zero(int) != modulo_modulo(int,X1,X0) => zero_zero(int) = iG909(X0,X1)) & ! [X2 : int,X3 : int] : (zero_zero(int) = modulo_modulo(int,X3,X2) => one_one(int) = iG909(X2,X3))),
% 8.48/2.15    inference(flattening,[],[f19838])).
% 8.48/2.15  tff(f19838,plain,(
% 8.48/2.15    ! [X0 : int,X1 : int] : (~zero_zero(int) = modulo_modulo(int,X1,X0) => zero_zero(int) = iG909(X0,X1)) & ! [X2 : int,X3 : int] : (zero_zero(int) = modulo_modulo(int,X3,X2) => one_one(int) = iG909(X2,X3))),
% 8.48/2.15    inference(rectify,[],[f17524])).
% 8.48/2.15  tff(f17524,plain,(
% 8.48/2.15    ! [X2 : int,X1 : int] : (~zero_zero(int) = modulo_modulo(int,X1,X2) => zero_zero(int) = iG909(X2,X1)) & ! [X2 : int,X1 : int] : (zero_zero(int) = modulo_modulo(int,X1,X2) => one_one(int) = iG909(X2,X1))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG909])])).
% 8.48/2.15  tff(f43962,plain,(
% 8.48/2.15    ( ! [X0 : int,X1 : int] : (zero_zero(int) = iG909(X0,X1) | zero_zero(int) = modulo_modulo(int,X1,X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25950])).
% 8.48/2.15  tff(f43959,plain,(
% 8.48/2.15    ( ! [X2 : nat,X3 : nat] : (one_one(nat) = iG910(X2,X3) | zero_zero(nat) != modulo_modulo(nat,X3,X2)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25949])).
% 8.48/2.15  tff(f25949,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : (zero_zero(nat) = iG910(X0,X1) | zero_zero(nat) = modulo_modulo(nat,X1,X0)) & ! [X2 : nat,X3 : nat] : (one_one(nat) = iG910(X2,X3) | zero_zero(nat) != modulo_modulo(nat,X3,X2))),
% 8.48/2.15    inference(ennf_transformation,[],[f19837])).
% 8.48/2.15  tff(f19837,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : (zero_zero(nat) != modulo_modulo(nat,X1,X0) => zero_zero(nat) = iG910(X0,X1)) & ! [X2 : nat,X3 : nat] : (zero_zero(nat) = modulo_modulo(nat,X3,X2) => one_one(nat) = iG910(X2,X3))),
% 8.48/2.15    inference(flattening,[],[f19836])).
% 8.48/2.15  tff(f19836,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : (~zero_zero(nat) = modulo_modulo(nat,X1,X0) => zero_zero(nat) = iG910(X0,X1)) & ! [X2 : nat,X3 : nat] : (zero_zero(nat) = modulo_modulo(nat,X3,X2) => one_one(nat) = iG910(X2,X3))),
% 8.48/2.15    inference(rectify,[],[f17597])).
% 8.48/2.15  tff(f17597,plain,(
% 8.48/2.15    ! [X2 : nat,X1 : nat] : (~zero_zero(nat) = modulo_modulo(nat,X1,X2) => zero_zero(nat) = iG910(X2,X1)) & ! [X2 : nat,X1 : nat] : (zero_zero(nat) = modulo_modulo(nat,X1,X2) => one_one(nat) = iG910(X2,X1))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG910])])).
% 8.48/2.15  tff(f43960,plain,(
% 8.48/2.15    ( ! [X0 : nat,X1 : nat] : (zero_zero(nat) = iG910(X0,X1) | zero_zero(nat) = modulo_modulo(nat,X1,X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25949])).
% 8.48/2.15  tff(f61162,plain,(
% 8.48/2.15    ($true = bG911($true))),
% 8.48/2.15    inference(equality_resolution,[],[f43957])).
% 8.48/2.15  tff(f43957,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG911(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36071])).
% 8.48/2.15  tff(f36071,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG911(X0))) & (($true = bG911(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f18040])).
% 8.48/2.15  tff(f18040,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG911(X0)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG911])])).
% 8.48/2.15  tff(f43958,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG911(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36071])).
% 8.48/2.15  tff(f61161,plain,(
% 8.48/2.15    ($true = bG912($true))),
% 8.48/2.15    inference(equality_resolution,[],[f43955])).
% 8.48/2.15  tff(f43955,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG912(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36070])).
% 8.48/2.15  tff(f36070,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG912(X0))) & (($true = bG912(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f19835])).
% 8.48/2.15  tff(f19835,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG912(X0)))),
% 8.48/2.15    inference(rectify,[],[f18041])).
% 8.48/2.15  tff(f18041,plain,(
% 8.48/2.15    ! [X1 : $o] : (($true = X1) <=> ($true = bG912(X1)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG912])])).
% 8.48/2.15  tff(f43956,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG912(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36070])).
% 8.48/2.15  tff(f61160,plain,(
% 8.48/2.15    ($true = bG913($true))),
% 8.48/2.15    inference(equality_resolution,[],[f43953])).
% 8.48/2.15  tff(f43953,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG913(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36069])).
% 8.48/2.15  tff(f36069,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG913(X0))) & (($true = bG913(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f18044])).
% 8.48/2.15  tff(f18044,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG913(X0)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG913])])).
% 8.48/2.15  tff(f43954,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG913(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36069])).
% 8.48/2.15  tff(f61159,plain,(
% 8.48/2.15    ($true = bG914($true))),
% 8.48/2.15    inference(equality_resolution,[],[f43951])).
% 8.48/2.15  tff(f43951,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG914(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36068])).
% 8.48/2.15  tff(f36068,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG914(X0))) & (($true = bG914(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f19834])).
% 8.48/2.15  tff(f19834,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG914(X0)))),
% 8.48/2.15    inference(rectify,[],[f18045])).
% 8.48/2.15  tff(f18045,plain,(
% 8.48/2.15    ! [X1 : $o] : (($true = X1) <=> ($true = bG914(X1)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG914])])).
% 8.48/2.15  tff(f43952,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG914(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36068])).
% 8.48/2.15  tff(f61158,plain,(
% 8.48/2.15    ( ! [X3 : $o] : (($true = X3) | ~iG915(one_one(nat),X3)) )),
% 8.48/2.15    inference(equality_resolution,[],[f43948])).
% 8.48/2.15  tff(f43948,plain,(
% 8.48/2.15    ( ! [X2 : nat,X3 : $o] : (($true = X3) | ~iG915(X2,X3) | one_one(nat) != X2) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36067])).
% 8.48/2.15  tff(f36067,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : $o] : (~iG915(X0,X1) | one_one(nat) = X0) & ! [X2 : nat,X3 : $o] : (((iG915(X2,X3) | ($true != X3)) & (($true = X3) | ~iG915(X2,X3))) | one_one(nat) != X2)),
% 8.48/2.15    inference(nnf_transformation,[],[f25948])).
% 8.48/2.15  tff(f25948,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : $o] : (~iG915(X0,X1) | one_one(nat) = X0) & ! [X2 : nat,X3 : $o] : ((iG915(X2,X3) <=> ($true = X3)) | one_one(nat) != X2)),
% 8.48/2.15    inference(ennf_transformation,[],[f19833])).
% 8.48/2.15  tff(f19833,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : $o] : (one_one(nat) != X0 => ~iG915(X0,X1)) & ! [X2 : nat,X3 : $o] : (one_one(nat) = X2 => (iG915(X2,X3) <=> ($true = X3)))),
% 8.48/2.15    inference(flattening,[],[f19832])).
% 8.48/2.15  tff(f19832,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : $o] : (~one_one(nat) = X0 => ~iG915(X0,X1)) & ! [X2 : nat,X3 : $o] : (one_one(nat) = X2 => (iG915(X2,X3) <=> ($true = X3)))),
% 8.48/2.15    inference(true_and_false_elimination,[],[f19831])).
% 8.48/2.15  tff(f19831,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : $o] : (~one_one(nat) = X0 => (iG915(X0,X1) <=> $false)) & ! [X2 : nat,X3 : $o] : (one_one(nat) = X2 => (iG915(X2,X3) <=> ($true = X3)))),
% 8.48/2.15    inference(rectify,[],[f18046])).
% 8.48/2.15  tff(f18046,plain,(
% 8.48/2.15    ! [X2 : nat,X1 : $o] : (~one_one(nat) = X2 => (iG915(X2,X1) <=> $false)) & ! [X2 : nat,X1 : $o] : (one_one(nat) = X2 => (iG915(X2,X1) <=> ($true = X1)))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG915])])).
% 8.48/2.15  tff(f61157,plain,(
% 8.48/2.15    iG915(one_one(nat),$true)),
% 8.48/2.15    inference(equality_resolution,[],[f61156])).
% 8.48/2.15  tff(f61156,plain,(
% 8.48/2.15    ( ! [X2 : nat] : (iG915(X2,$true) | one_one(nat) != X2) )),
% 8.48/2.15    inference(equality_resolution,[],[f43949])).
% 8.48/2.15  tff(f43949,plain,(
% 8.48/2.15    ( ! [X2 : nat,X3 : $o] : (iG915(X2,X3) | ($true != X3) | one_one(nat) != X2) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36067])).
% 8.48/2.15  tff(f43950,plain,(
% 8.48/2.15    ( ! [X0 : nat,X1 : $o] : (~iG915(X0,X1) | one_one(nat) = X0) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36067])).
% 8.48/2.15  tff(f61155,plain,(
% 8.48/2.15    ( ! [X4 : $o,X5 : $o] : (($true = X5) | ~iG916(zero_zero(nat),X4,X5)) )),
% 8.48/2.15    inference(equality_resolution,[],[f43944])).
% 8.48/2.15  tff(f43944,plain,(
% 8.48/2.15    ( ! [X3 : nat,X4 : $o,X5 : $o] : (($true = X5) | ~iG916(X3,X4,X5) | zero_zero(nat) != X3) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36066])).
% 8.48/2.15  tff(f36066,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : $o,X2 : $o] : (((iG916(X0,X1,X2) | ~iG915(X0,X1)) & (iG915(X0,X1) | ~iG916(X0,X1,X2))) | zero_zero(nat) = X0) & ! [X3 : nat,X4 : $o,X5 : $o] : (((iG916(X3,X4,X5) | ($true != X5)) & (($true = X5) | ~iG916(X3,X4,X5))) | zero_zero(nat) != X3)),
% 8.48/2.15    inference(nnf_transformation,[],[f25947])).
% 8.48/2.15  tff(f25947,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : $o,X2 : $o] : ((iG916(X0,X1,X2) <=> iG915(X0,X1)) | zero_zero(nat) = X0) & ! [X3 : nat,X4 : $o,X5 : $o] : ((iG916(X3,X4,X5) <=> ($true = X5)) | zero_zero(nat) != X3)),
% 8.48/2.15    inference(ennf_transformation,[],[f19830])).
% 8.48/2.15  tff(f19830,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : $o,X2 : $o] : (zero_zero(nat) != X0 => (iG916(X0,X1,X2) <=> iG915(X0,X1))) & ! [X3 : nat,X4 : $o,X5 : $o] : (zero_zero(nat) = X3 => (iG916(X3,X4,X5) <=> ($true = X5)))),
% 8.48/2.15    inference(flattening,[],[f19829])).
% 8.48/2.15  tff(f19829,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : $o,X2 : $o] : (~zero_zero(nat) = X0 => (iG916(X0,X1,X2) <=> iG915(X0,X1))) & ! [X3 : nat,X4 : $o,X5 : $o] : (zero_zero(nat) = X3 => (iG916(X3,X4,X5) <=> ($true = X5)))),
% 8.48/2.15    inference(rectify,[],[f18047])).
% 8.48/2.15  tff(f18047,plain,(
% 8.48/2.15    ! [X2 : nat,X1 : $o,X0 : $o] : (~zero_zero(nat) = X2 => (iG916(X2,X1,X0) <=> iG915(X2,X1))) & ! [X2 : nat,X1 : $o,X0 : $o] : (zero_zero(nat) = X2 => (iG916(X2,X1,X0) <=> ($true = X0)))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG916])])).
% 8.48/2.15  tff(f61154,plain,(
% 8.48/2.15    ( ! [X4 : $o] : (iG916(zero_zero(nat),X4,$true)) )),
% 8.48/2.15    inference(equality_resolution,[],[f61153])).
% 8.48/2.15  tff(f61153,plain,(
% 8.48/2.15    ( ! [X3 : nat,X4 : $o] : (iG916(X3,X4,$true) | zero_zero(nat) != X3) )),
% 8.48/2.15    inference(equality_resolution,[],[f43945])).
% 8.48/2.15  tff(f43945,plain,(
% 8.48/2.15    ( ! [X3 : nat,X4 : $o,X5 : $o] : (iG916(X3,X4,X5) | ($true != X5) | zero_zero(nat) != X3) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36066])).
% 8.48/2.15  tff(f43946,plain,(
% 8.48/2.15    ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG915(X0,X1) | ~iG916(X0,X1,X2) | zero_zero(nat) = X0) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36066])).
% 8.48/2.15  tff(f43947,plain,(
% 8.48/2.15    ( ! [X2 : $o,X0 : nat,X1 : $o] : (iG916(X0,X1,X2) | ~iG915(X0,X1) | zero_zero(nat) = X0) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36066])).
% 8.48/2.15  tff(f61152,plain,(
% 8.48/2.15    ($true = bG917($true))),
% 8.48/2.15    inference(equality_resolution,[],[f43942])).
% 8.48/2.15  tff(f43942,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG917(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36065])).
% 8.48/2.15  tff(f36065,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG917(X0))) & (($true = bG917(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f19828])).
% 8.48/2.15  tff(f19828,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG917(X0)))),
% 8.48/2.15    inference(rectify,[],[f18254])).
% 8.48/2.15  tff(f18254,plain,(
% 8.48/2.15    ! [X1 : $o] : (($true = X1) <=> ($true = bG917(X1)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG917])])).
% 8.48/2.15  tff(f43943,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG917(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36065])).
% 8.48/2.15  tff(f61151,plain,(
% 8.48/2.15    ($true = bG918($true))),
% 8.48/2.15    inference(equality_resolution,[],[f43940])).
% 8.48/2.15  tff(f43940,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG918(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36064])).
% 8.48/2.15  tff(f36064,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG918(X0))) & (($true = bG918(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f18257])).
% 8.48/2.15  tff(f18257,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG918(X0)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG918])])).
% 8.48/2.15  tff(f43941,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG918(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36064])).
% 8.48/2.15  tff(f61150,plain,(
% 8.48/2.15    ($true = bG919($true))),
% 8.48/2.15    inference(equality_resolution,[],[f43938])).
% 8.48/2.15  tff(f43938,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG919(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36063])).
% 8.48/2.15  tff(f36063,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG919(X0))) & (($true = bG919(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f19827])).
% 8.48/2.15  tff(f19827,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG919(X0)))),
% 8.48/2.15    inference(rectify,[],[f18258])).
% 8.48/2.15  tff(f18258,plain,(
% 8.48/2.15    ! [X1 : $o] : (($true = X1) <=> ($true = bG919(X1)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG919])])).
% 8.48/2.15  tff(f43939,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG919(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36063])).
% 8.48/2.15  tff(f61149,plain,(
% 8.48/2.15    ( ! [X3 : $o] : ((bG919(X3) = iG920(one_one(nat),X3))) )),
% 8.48/2.15    inference(equality_resolution,[],[f43936])).
% 8.48/2.15  tff(f43936,plain,(
% 8.48/2.15    ( ! [X2 : nat,X3 : $o] : ((bG919(X3) = iG920(X2,X3)) | one_one(nat) != X2) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25946])).
% 8.48/2.15  tff(f25946,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : $o] : (($false = iG920(X0,X1)) | one_one(nat) = X0) & ! [X2 : nat,X3 : $o] : ((bG919(X3) = iG920(X2,X3)) | one_one(nat) != X2)),
% 8.48/2.15    inference(ennf_transformation,[],[f19826])).
% 8.48/2.15  tff(f19826,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : $o] : (one_one(nat) != X0 => ($false = iG920(X0,X1))) & ! [X2 : nat,X3 : $o] : (one_one(nat) = X2 => (bG919(X3) = iG920(X2,X3)))),
% 8.48/2.15    inference(flattening,[],[f19825])).
% 8.48/2.15  tff(f19825,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : $o] : (~one_one(nat) = X0 => ($false = iG920(X0,X1))) & ! [X2 : nat,X3 : $o] : (one_one(nat) = X2 => (bG919(X3) = iG920(X2,X3)))),
% 8.48/2.15    inference(rectify,[],[f18259])).
% 8.48/2.15  tff(f18259,plain,(
% 8.48/2.15    ! [X2 : nat,X1 : $o] : (~one_one(nat) = X2 => ($false = iG920(X2,X1))) & ! [X2 : nat,X1 : $o] : (one_one(nat) = X2 => (bG919(X1) = iG920(X2,X1)))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG920])])).
% 8.48/2.15  tff(f43937,plain,(
% 8.48/2.15    ( ! [X0 : nat,X1 : $o] : (($false = iG920(X0,X1)) | one_one(nat) = X0) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25946])).
% 8.48/2.15  tff(f61148,plain,(
% 8.48/2.15    ( ! [X4 : $o,X5 : $o] : ((bG918(X5) = iG921(zero_zero(nat),X4,X5))) )),
% 8.48/2.15    inference(equality_resolution,[],[f43934])).
% 8.48/2.15  tff(f43934,plain,(
% 8.48/2.15    ( ! [X3 : nat,X4 : $o,X5 : $o] : ((bG918(X5) = iG921(X3,X4,X5)) | zero_zero(nat) != X3) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25945])).
% 8.48/2.15  tff(f25945,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : $o,X2 : $o] : ((iG920(X0,X1) = iG921(X0,X1,X2)) | zero_zero(nat) = X0) & ! [X3 : nat,X4 : $o,X5 : $o] : ((bG918(X5) = iG921(X3,X4,X5)) | zero_zero(nat) != X3)),
% 8.48/2.15    inference(ennf_transformation,[],[f19824])).
% 8.48/2.15  tff(f19824,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : $o,X2 : $o] : (zero_zero(nat) != X0 => (iG920(X0,X1) = iG921(X0,X1,X2))) & ! [X3 : nat,X4 : $o,X5 : $o] : (zero_zero(nat) = X3 => (bG918(X5) = iG921(X3,X4,X5)))),
% 8.48/2.15    inference(flattening,[],[f19823])).
% 8.48/2.15  tff(f19823,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : $o,X2 : $o] : (~zero_zero(nat) = X0 => (iG920(X0,X1) = iG921(X0,X1,X2))) & ! [X3 : nat,X4 : $o,X5 : $o] : (zero_zero(nat) = X3 => (bG918(X5) = iG921(X3,X4,X5)))),
% 8.48/2.15    inference(rectify,[],[f18260])).
% 8.48/2.15  tff(f18260,plain,(
% 8.48/2.15    ! [X2 : nat,X1 : $o,X0 : $o] : (~zero_zero(nat) = X2 => (iG920(X2,X1) = iG921(X2,X1,X0))) & ! [X2 : nat,X1 : $o,X0 : $o] : (zero_zero(nat) = X2 => (bG918(X0) = iG921(X2,X1,X0)))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG921])])).
% 8.48/2.15  tff(f43935,plain,(
% 8.48/2.15    ( ! [X2 : $o,X0 : nat,X1 : $o] : ((iG920(X0,X1) = iG921(X0,X1,X2)) | zero_zero(nat) = X0) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25945])).
% 8.48/2.15  tff(f61147,plain,(
% 8.48/2.15    ($true = bG922($true))),
% 8.48/2.15    inference(equality_resolution,[],[f43932])).
% 8.48/2.15  tff(f43932,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG922(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36062])).
% 8.48/2.15  tff(f36062,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG922(X0))) & (($true = bG922(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f18261])).
% 8.48/2.15  tff(f18261,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG922(X0)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG922])])).
% 8.48/2.15  tff(f43933,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG922(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36062])).
% 8.48/2.15  tff(f61146,plain,(
% 8.48/2.15    ($true = bG923($true))),
% 8.48/2.15    inference(equality_resolution,[],[f43930])).
% 8.48/2.15  tff(f43930,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG923(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36061])).
% 8.48/2.15  tff(f36061,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG923(X0))) & (($true = bG923(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f19822])).
% 8.48/2.15  tff(f19822,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG923(X0)))),
% 8.48/2.15    inference(rectify,[],[f18262])).
% 8.48/2.15  tff(f18262,plain,(
% 8.48/2.15    ! [X1 : $o] : (($true = X1) <=> ($true = bG923(X1)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG923])])).
% 8.48/2.15  tff(f43931,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG923(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36061])).
% 8.48/2.15  tff(f61145,plain,(
% 8.48/2.15    ( ! [X4 : $tType,X6 : fun(nat,X4),X7 : X4] : (iG924(X4,zero_zero(nat),X6,X7) = X7) )),
% 8.48/2.15    inference(equality_resolution,[],[f43928])).
% 8.48/2.15  tff(f43928,plain,(
% 8.48/2.15    ( ! [X4 : $tType,X6 : fun(nat,X4),X7 : X4,X5 : nat] : (iG924(X4,X5,X6,X7) = X7 | zero_zero(nat) != X5) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25944])).
% 8.48/2.15  tff(f25944,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : nat,X2 : fun(nat,X0),X3 : X0] : (aa(nat,X0,X2,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat))) = iG924(X0,X1,X2,X3) | zero_zero(nat) = X1) & ! [X4 : $tType,X5 : nat,X6 : fun(nat,X4),X7 : X4] : (iG924(X4,X5,X6,X7) = X7 | zero_zero(nat) != X5)),
% 8.48/2.15    inference(ennf_transformation,[],[f19821])).
% 8.48/2.15  tff(f19821,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : nat,X2 : fun(nat,X0),X3 : X0] : (zero_zero(nat) != X1 => aa(nat,X0,X2,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat))) = iG924(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : nat,X6 : fun(nat,X4),X7 : X4] : (zero_zero(nat) = X5 => iG924(X4,X5,X6,X7) = X7)),
% 8.48/2.15    inference(flattening,[],[f19820])).
% 8.48/2.15  tff(f19820,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : nat,X2 : fun(nat,X0),X3 : X0] : (~zero_zero(nat) = X1 => aa(nat,X0,X2,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat))) = iG924(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : nat,X6 : fun(nat,X4),X7 : X4] : (zero_zero(nat) = X5 => iG924(X4,X5,X6,X7) = X7)),
% 8.48/2.15    inference(rectify,[],[f18311])).
% 8.48/2.15  tff(f18311,plain,(
% 8.48/2.15    ! [X0 : $tType,X3 : nat,X2 : fun(nat,X0),X1 : X0] : (~zero_zero(nat) = X3 => aa(nat,X0,X2,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),one_one(nat))) = iG924(X0,X3,X2,X1)) & ! [X0 : $tType,X3 : nat,X2 : fun(nat,X0),X1 : X0] : (zero_zero(nat) = X3 => iG924(X0,X3,X2,X1) = X1)),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG924])])).
% 8.48/2.15  tff(f43929,plain,(
% 8.48/2.15    ( ! [X0 : $tType,X2 : fun(nat,X0),X3 : X0,X1 : nat] : (aa(nat,X0,X2,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat))) = iG924(X0,X1,X2,X3) | zero_zero(nat) = X1) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25944])).
% 8.48/2.15  tff(f43926,plain,(
% 8.48/2.15    ( ! [X4 : $tType,X6 : fun(X4,$o),X7 : nat,X5 : X4] : (nil(X4) = iG925(X4,X5,X6,X7) | ($true != aa(X4,$o,X6,X5))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25943])).
% 8.48/2.15  tff(f25943,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : X0,X2 : fun(X0,$o),X3 : nat] : (replicate(X0,X3,X1) = iG925(X0,X1,X2,X3) | ($true = aa(X0,$o,X2,X1))) & ! [X4 : $tType,X5 : X4,X6 : fun(X4,$o),X7 : nat] : (nil(X4) = iG925(X4,X5,X6,X7) | ($true != aa(X4,$o,X6,X5)))),
% 8.48/2.15    inference(ennf_transformation,[],[f19819])).
% 8.48/2.15  tff(f19819,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : X0,X2 : fun(X0,$o),X3 : nat] : (($true != aa(X0,$o,X2,X1)) => replicate(X0,X3,X1) = iG925(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : X4,X6 : fun(X4,$o),X7 : nat] : (($true = aa(X4,$o,X6,X5)) => nil(X4) = iG925(X4,X5,X6,X7))),
% 8.48/2.15    inference(flattening,[],[f19818])).
% 8.48/2.15  tff(f19818,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : X0,X2 : fun(X0,$o),X3 : nat] : (~($true = aa(X0,$o,X2,X1)) => replicate(X0,X3,X1) = iG925(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : X4,X6 : fun(X4,$o),X7 : nat] : (($true = aa(X4,$o,X6,X5)) => nil(X4) = iG925(X4,X5,X6,X7))),
% 8.48/2.15    inference(rectify,[],[f18314])).
% 8.48/2.15  tff(f18314,plain,(
% 8.48/2.15    ! [X0 : $tType,X3 : X0,X1 : fun(X0,$o),X2 : nat] : (~($true = aa(X0,$o,X1,X3)) => replicate(X0,X2,X3) = iG925(X0,X3,X1,X2)) & ! [X0 : $tType,X3 : X0,X1 : fun(X0,$o),X2 : nat] : (($true = aa(X0,$o,X1,X3)) => nil(X0) = iG925(X0,X3,X1,X2))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG925])])).
% 8.48/2.15  tff(f43927,plain,(
% 8.48/2.15    ( ! [X0 : $tType,X2 : fun(X0,$o),X3 : nat,X1 : X0] : (replicate(X0,X3,X1) = iG925(X0,X1,X2,X3) | ($true = aa(X0,$o,X2,X1))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25943])).
% 8.48/2.15  tff(f43924,plain,(
% 8.48/2.15    ( ! [X4 : $tType,X6 : fun(X4,$o),X7 : nat,X5 : X4] : (replicate(X4,X7,X5) = iG926(X4,X5,X6,X7) | ($true != aa(X4,$o,X6,X5))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25942])).
% 8.48/2.15  tff(f25942,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : X0,X2 : fun(X0,$o),X3 : nat] : (nil(X0) = iG926(X0,X1,X2,X3) | ($true = aa(X0,$o,X2,X1))) & ! [X4 : $tType,X5 : X4,X6 : fun(X4,$o),X7 : nat] : (replicate(X4,X7,X5) = iG926(X4,X5,X6,X7) | ($true != aa(X4,$o,X6,X5)))),
% 8.48/2.15    inference(ennf_transformation,[],[f19817])).
% 8.48/2.15  tff(f19817,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : X0,X2 : fun(X0,$o),X3 : nat] : (($true != aa(X0,$o,X2,X1)) => nil(X0) = iG926(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : X4,X6 : fun(X4,$o),X7 : nat] : (($true = aa(X4,$o,X6,X5)) => replicate(X4,X7,X5) = iG926(X4,X5,X6,X7))),
% 8.48/2.15    inference(flattening,[],[f19816])).
% 8.48/2.15  tff(f19816,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : X0,X2 : fun(X0,$o),X3 : nat] : (~($true = aa(X0,$o,X2,X1)) => nil(X0) = iG926(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : X4,X6 : fun(X4,$o),X7 : nat] : (($true = aa(X4,$o,X6,X5)) => replicate(X4,X7,X5) = iG926(X4,X5,X6,X7))),
% 8.48/2.15    inference(rectify,[],[f18317])).
% 8.48/2.15  tff(f18317,plain,(
% 8.48/2.15    ! [X0 : $tType,X3 : X0,X1 : fun(X0,$o),X2 : nat] : (~($true = aa(X0,$o,X1,X3)) => nil(X0) = iG926(X0,X3,X1,X2)) & ! [X0 : $tType,X3 : X0,X1 : fun(X0,$o),X2 : nat] : (($true = aa(X0,$o,X1,X3)) => replicate(X0,X2,X3) = iG926(X0,X3,X1,X2))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG926])])).
% 8.48/2.15  tff(f43925,plain,(
% 8.48/2.15    ( ! [X0 : $tType,X2 : fun(X0,$o),X3 : nat,X1 : X0] : (nil(X0) = iG926(X0,X1,X2,X3) | ($true = aa(X0,$o,X2,X1))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25942])).
% 8.48/2.15  tff(f43923,plain,(
% 8.48/2.15    ( ! [X0 : num] : (pred_numeral(X0) = lG927(X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f19815])).
% 8.48/2.15  tff(f19815,plain,(
% 8.48/2.15    ! [X0 : num] : pred_numeral(X0) = lG927(X0)),
% 8.48/2.15    inference(rectify,[],[f18320])).
% 8.48/2.15  tff(f18320,plain,(
% 8.48/2.15    ! [X3 : num] : pred_numeral(X3) = lG927(X3)),
% 8.48/2.15    introduced(fool_let_definition,[new_symbols(definition,[lG927])])).
% 8.48/2.15  tff(f43921,plain,(
% 8.48/2.15    ( ! [X4 : $tType,X6 : fun(X4,$o),X7 : list(X4),X5 : X4] : (aa(product_prod(list(X4),product_prod(X4,list(X4))),option(product_prod(list(X4),product_prod(X4,list(X4)))),some(product_prod(list(X4),product_prod(X4,list(X4)))),aa(product_prod(X4,list(X4)),product_prod(list(X4),product_prod(X4,list(X4))),aa(list(X4),fun(product_prod(X4,list(X4)),product_prod(list(X4),product_prod(X4,list(X4)))),product_Pair(list(X4),product_prod(X4,list(X4))),nil(X4)),aa(list(X4),product_prod(X4,list(X4)),aa(X4,fun(list(X4),product_prod(X4,list(X4))),product_Pair(X4,list(X4)),X5),X7))) = iG928(X4,X5,X6,X7) | ($true != aa(X4,$o,X6,X5))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25941])).
% 8.48/2.15  tff(f25941,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : X0,X2 : fun(X0,$o),X3 : list(X0)] : (case_option(option(product_prod(list(X0),product_prod(X0,list(X0)))),product_prod(list(X0),product_prod(X0,list(X0))),none(product_prod(list(X0),product_prod(X0,list(X0)))),aa(fun(list(X0),fun(product_prod(X0,list(X0)),option(product_prod(list(X0),product_prod(X0,list(X0)))))),fun(product_prod(list(X0),product_prod(X0,list(X0))),option(product_prod(list(X0),product_prod(X0,list(X0))))),product_case_prod(list(X0),product_prod(X0,list(X0)),option(product_prod(list(X0),product_prod(X0,list(X0))))),aTP_Lamp_ru(X0,fun(list(X0),fun(product_prod(X0,list(X0)),option(product_prod(list(X0),product_prod(X0,list(X0)))))),X1)),extract(X0,X2,X3)) = iG928(X0,X1,X2,X3) | ($true = aa(X0,$o,X2,X1))) & ! [X4 : $tType,X5 : X4,X6 : fun(X4,$o),X7 : list(X4)] : (aa(product_prod(list(X4),product_prod(X4,list(X4))),option(product_prod(list(X4),product_prod(X4,list(X4)))),some(product_prod(list(X4),product_prod(X4,list(X4)))),aa(product_prod(X4,list(X4)),product_prod(list(X4),product_prod(X4,list(X4))),aa(list(X4),fun(product_prod(X4,list(X4)),product_prod(list(X4),product_prod(X4,list(X4)))),product_Pair(list(X4),product_prod(X4,list(X4))),nil(X4)),aa(list(X4),product_prod(X4,list(X4)),aa(X4,fun(list(X4),product_prod(X4,list(X4))),product_Pair(X4,list(X4)),X5),X7))) = iG928(X4,X5,X6,X7) | ($true != aa(X4,$o,X6,X5)))),
% 8.48/2.15    inference(ennf_transformation,[],[f19814])).
% 8.48/2.15  tff(f19814,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : X0,X2 : fun(X0,$o),X3 : list(X0)] : (($true != aa(X0,$o,X2,X1)) => case_option(option(product_prod(list(X0),product_prod(X0,list(X0)))),product_prod(list(X0),product_prod(X0,list(X0))),none(product_prod(list(X0),product_prod(X0,list(X0)))),aa(fun(list(X0),fun(product_prod(X0,list(X0)),option(product_prod(list(X0),product_prod(X0,list(X0)))))),fun(product_prod(list(X0),product_prod(X0,list(X0))),option(product_prod(list(X0),product_prod(X0,list(X0))))),product_case_prod(list(X0),product_prod(X0,list(X0)),option(product_prod(list(X0),product_prod(X0,list(X0))))),aTP_Lamp_ru(X0,fun(list(X0),fun(product_prod(X0,list(X0)),option(product_prod(list(X0),product_prod(X0,list(X0)))))),X1)),extract(X0,X2,X3)) = iG928(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : X4,X6 : fun(X4,$o),X7 : list(X4)] : (($true = aa(X4,$o,X6,X5)) => aa(product_prod(list(X4),product_prod(X4,list(X4))),option(product_prod(list(X4),product_prod(X4,list(X4)))),some(product_prod(list(X4),product_prod(X4,list(X4)))),aa(product_prod(X4,list(X4)),product_prod(list(X4),product_prod(X4,list(X4))),aa(list(X4),fun(product_prod(X4,list(X4)),product_prod(list(X4),product_prod(X4,list(X4)))),product_Pair(list(X4),product_prod(X4,list(X4))),nil(X4)),aa(list(X4),product_prod(X4,list(X4)),aa(X4,fun(list(X4),product_prod(X4,list(X4))),product_Pair(X4,list(X4)),X5),X7))) = iG928(X4,X5,X6,X7))),
% 8.48/2.15    inference(flattening,[],[f19813])).
% 8.48/2.15  tff(f19813,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : X0,X2 : fun(X0,$o),X3 : list(X0)] : (~($true = aa(X0,$o,X2,X1)) => case_option(option(product_prod(list(X0),product_prod(X0,list(X0)))),product_prod(list(X0),product_prod(X0,list(X0))),none(product_prod(list(X0),product_prod(X0,list(X0)))),aa(fun(list(X0),fun(product_prod(X0,list(X0)),option(product_prod(list(X0),product_prod(X0,list(X0)))))),fun(product_prod(list(X0),product_prod(X0,list(X0))),option(product_prod(list(X0),product_prod(X0,list(X0))))),product_case_prod(list(X0),product_prod(X0,list(X0)),option(product_prod(list(X0),product_prod(X0,list(X0))))),aTP_Lamp_ru(X0,fun(list(X0),fun(product_prod(X0,list(X0)),option(product_prod(list(X0),product_prod(X0,list(X0)))))),X1)),extract(X0,X2,X3)) = iG928(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : X4,X6 : fun(X4,$o),X7 : list(X4)] : (($true = aa(X4,$o,X6,X5)) => aa(product_prod(list(X4),product_prod(X4,list(X4))),option(product_prod(list(X4),product_prod(X4,list(X4)))),some(product_prod(list(X4),product_prod(X4,list(X4)))),aa(product_prod(X4,list(X4)),product_prod(list(X4),product_prod(X4,list(X4))),aa(list(X4),fun(product_prod(X4,list(X4)),product_prod(list(X4),product_prod(X4,list(X4)))),product_Pair(list(X4),product_prod(X4,list(X4))),nil(X4)),aa(list(X4),product_prod(X4,list(X4)),aa(X4,fun(list(X4),product_prod(X4,list(X4))),product_Pair(X4,list(X4)),X5),X7))) = iG928(X4,X5,X6,X7))),
% 8.48/2.15    inference(rectify,[],[f18323])).
% 8.48/2.15  tff(f18323,plain,(
% 8.48/2.15    ! [X0 : $tType,X2 : X0,X1 : fun(X0,$o),X3 : list(X0)] : (~($true = aa(X0,$o,X1,X2)) => case_option(option(product_prod(list(X0),product_prod(X0,list(X0)))),product_prod(list(X0),product_prod(X0,list(X0))),none(product_prod(list(X0),product_prod(X0,list(X0)))),aa(fun(list(X0),fun(product_prod(X0,list(X0)),option(product_prod(list(X0),product_prod(X0,list(X0)))))),fun(product_prod(list(X0),product_prod(X0,list(X0))),option(product_prod(list(X0),product_prod(X0,list(X0))))),product_case_prod(list(X0),product_prod(X0,list(X0)),option(product_prod(list(X0),product_prod(X0,list(X0))))),aTP_Lamp_ru(X0,fun(list(X0),fun(product_prod(X0,list(X0)),option(product_prod(list(X0),product_prod(X0,list(X0)))))),X2)),extract(X0,X1,X3)) = iG928(X0,X2,X1,X3)) & ! [X0 : $tType,X2 : X0,X1 : fun(X0,$o),X3 : list(X0)] : (($true = aa(X0,$o,X1,X2)) => aa(product_prod(list(X0),product_prod(X0,list(X0))),option(product_prod(list(X0),product_prod(X0,list(X0)))),some(product_prod(list(X0),product_prod(X0,list(X0)))),aa(product_prod(X0,list(X0)),product_prod(list(X0),product_prod(X0,list(X0))),aa(list(X0),fun(product_prod(X0,list(X0)),product_prod(list(X0),product_prod(X0,list(X0)))),product_Pair(list(X0),product_prod(X0,list(X0))),nil(X0)),aa(list(X0),product_prod(X0,list(X0)),aa(X0,fun(list(X0),product_prod(X0,list(X0))),product_Pair(X0,list(X0)),X2),X3))) = iG928(X0,X2,X1,X3))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG928])])).
% 8.48/2.15  tff(f43922,plain,(
% 8.48/2.15    ( ! [X0 : $tType,X2 : fun(X0,$o),X3 : list(X0),X1 : X0] : (case_option(option(product_prod(list(X0),product_prod(X0,list(X0)))),product_prod(list(X0),product_prod(X0,list(X0))),none(product_prod(list(X0),product_prod(X0,list(X0)))),aa(fun(list(X0),fun(product_prod(X0,list(X0)),option(product_prod(list(X0),product_prod(X0,list(X0)))))),fun(product_prod(list(X0),product_prod(X0,list(X0))),option(product_prod(list(X0),product_prod(X0,list(X0))))),product_case_prod(list(X0),product_prod(X0,list(X0)),option(product_prod(list(X0),product_prod(X0,list(X0))))),aTP_Lamp_ru(X0,fun(list(X0),fun(product_prod(X0,list(X0)),option(product_prod(list(X0),product_prod(X0,list(X0)))))),X1)),extract(X0,X2,X3)) = iG928(X0,X1,X2,X3) | ($true = aa(X0,$o,X2,X1))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25941])).
% 8.48/2.15  tff(f43919,plain,(
% 8.48/2.15    ( ! [X3 : $tType,X4 : set(nat),X5 : X3] : (aa(list(X3),list(X3),cons(X3,X5),nil(X3)) = iG929(X3,X4,X5) | ~member(nat,zero_zero(nat),X4)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25940])).
% 8.48/2.15  tff(f25940,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : set(nat),X2 : X0] : (nil(X0) = iG929(X0,X1,X2) | member(nat,zero_zero(nat),X1)) & ! [X3 : $tType,X4 : set(nat),X5 : X3] : (aa(list(X3),list(X3),cons(X3,X5),nil(X3)) = iG929(X3,X4,X5) | ~member(nat,zero_zero(nat),X4))),
% 8.48/2.15    inference(ennf_transformation,[],[f19812])).
% 8.48/2.15  tff(f19812,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : set(nat),X2 : X0] : (~member(nat,zero_zero(nat),X1) => nil(X0) = iG929(X0,X1,X2)) & ! [X3 : $tType,X4 : set(nat),X5 : X3] : (member(nat,zero_zero(nat),X4) => aa(list(X3),list(X3),cons(X3,X5),nil(X3)) = iG929(X3,X4,X5))),
% 8.48/2.15    inference(flattening,[],[f19811])).
% 8.48/2.15  tff(f19811,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : set(nat),X2 : X0] : (~member(nat,zero_zero(nat),X1) => nil(X0) = iG929(X0,X1,X2)) & ! [X3 : $tType,X4 : set(nat),X5 : X3] : (member(nat,zero_zero(nat),X4) => aa(list(X3),list(X3),cons(X3,X5),nil(X3)) = iG929(X3,X4,X5))),
% 8.48/2.15    inference(rectify,[],[f18326])).
% 8.48/2.15  tff(f18326,plain,(
% 8.48/2.15    ! [X0 : $tType,X3 : set(nat),X1 : X0] : (~member(nat,zero_zero(nat),X3) => nil(X0) = iG929(X0,X3,X1)) & ! [X0 : $tType,X3 : set(nat),X1 : X0] : (member(nat,zero_zero(nat),X3) => aa(list(X0),list(X0),cons(X0,X1),nil(X0)) = iG929(X0,X3,X1))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG929])])).
% 8.48/2.15  tff(f43920,plain,(
% 8.48/2.15    ( ! [X0 : $tType,X2 : X0,X1 : set(nat)] : (nil(X0) = iG929(X0,X1,X2) | member(nat,zero_zero(nat),X1)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25940])).
% 8.48/2.15  tff(f61144,plain,(
% 8.48/2.15    ( ! [X4 : $tType,X6 : X4,X7 : list(X4)] : (iG930(X4,X6,X6,X7) = X7) )),
% 8.48/2.15    inference(equality_resolution,[],[f43917])).
% 8.48/2.15  tff(f43917,plain,(
% 8.48/2.15    ( ! [X4 : $tType,X6 : X4,X7 : list(X4),X5 : X4] : (iG930(X4,X5,X6,X7) = X7 | X5 != X6) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25939])).
% 8.48/2.15  tff(f25939,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : list(X0)] : (aa(list(X0),list(X0),cons(X0,X1),remove1(X0,X2,X3)) = iG930(X0,X1,X2,X3) | X1 = X2) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : list(X4)] : (iG930(X4,X5,X6,X7) = X7 | X5 != X6)),
% 8.48/2.15    inference(ennf_transformation,[],[f19810])).
% 8.48/2.15  tff(f19810,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : list(X0)] : (X1 != X2 => aa(list(X0),list(X0),cons(X0,X1),remove1(X0,X2,X3)) = iG930(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : list(X4)] : (X5 = X6 => iG930(X4,X5,X6,X7) = X7)),
% 8.48/2.15    inference(flattening,[],[f19809])).
% 8.48/2.15  tff(f19809,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : list(X0)] : (~X1 = X2 => aa(list(X0),list(X0),cons(X0,X1),remove1(X0,X2,X3)) = iG930(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : list(X4)] : (X5 = X6 => iG930(X4,X5,X6,X7) = X7)),
% 8.48/2.15    inference(rectify,[],[f18329])).
% 8.48/2.15  tff(f18329,plain,(
% 8.48/2.15    ! [X0 : $tType,X2 : X0,X1 : X0,X3 : list(X0)] : (~X1 = X2 => aa(list(X0),list(X0),cons(X0,X2),remove1(X0,X1,X3)) = iG930(X0,X2,X1,X3)) & ! [X0 : $tType,X2 : X0,X1 : X0,X3 : list(X0)] : (X1 = X2 => iG930(X0,X2,X1,X3) = X3)),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG930])])).
% 8.48/2.15  tff(f43918,plain,(
% 8.48/2.15    ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (aa(list(X0),list(X0),cons(X0,X1),remove1(X0,X2,X3)) = iG930(X0,X1,X2,X3) | X1 = X2) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25939])).
% 8.48/2.15  tff(f43915,plain,(
% 8.48/2.15    ( ! [X4 : $tType,X6 : fun(X4,$o),X7 : list(X4),X5 : X4] : (dropWhile(X4,X6,X7) = iG931(X4,X5,X6,X7) | ($true != aa(X4,$o,X6,X5))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25938])).
% 8.48/2.15  tff(f25938,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : X0,X2 : fun(X0,$o),X3 : list(X0)] : (aa(list(X0),list(X0),cons(X0,X1),X3) = iG931(X0,X1,X2,X3) | ($true = aa(X0,$o,X2,X1))) & ! [X4 : $tType,X5 : X4,X6 : fun(X4,$o),X7 : list(X4)] : (dropWhile(X4,X6,X7) = iG931(X4,X5,X6,X7) | ($true != aa(X4,$o,X6,X5)))),
% 8.48/2.15    inference(ennf_transformation,[],[f19808])).
% 8.48/2.15  tff(f19808,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : X0,X2 : fun(X0,$o),X3 : list(X0)] : (($true != aa(X0,$o,X2,X1)) => aa(list(X0),list(X0),cons(X0,X1),X3) = iG931(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : X4,X6 : fun(X4,$o),X7 : list(X4)] : (($true = aa(X4,$o,X6,X5)) => dropWhile(X4,X6,X7) = iG931(X4,X5,X6,X7))),
% 8.48/2.15    inference(flattening,[],[f19807])).
% 8.48/2.15  tff(f19807,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : X0,X2 : fun(X0,$o),X3 : list(X0)] : (~($true = aa(X0,$o,X2,X1)) => aa(list(X0),list(X0),cons(X0,X1),X3) = iG931(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : X4,X6 : fun(X4,$o),X7 : list(X4)] : (($true = aa(X4,$o,X6,X5)) => dropWhile(X4,X6,X7) = iG931(X4,X5,X6,X7))),
% 8.48/2.15    inference(rectify,[],[f18332])).
% 8.48/2.15  tff(f18332,plain,(
% 8.48/2.15    ! [X0 : $tType,X2 : X0,X1 : fun(X0,$o),X3 : list(X0)] : (~($true = aa(X0,$o,X1,X2)) => aa(list(X0),list(X0),cons(X0,X2),X3) = iG931(X0,X2,X1,X3)) & ! [X0 : $tType,X2 : X0,X1 : fun(X0,$o),X3 : list(X0)] : (($true = aa(X0,$o,X1,X2)) => dropWhile(X0,X1,X3) = iG931(X0,X2,X1,X3))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG931])])).
% 8.48/2.15  tff(f43916,plain,(
% 8.48/2.15    ( ! [X0 : $tType,X2 : fun(X0,$o),X3 : list(X0),X1 : X0] : (aa(list(X0),list(X0),cons(X0,X1),X3) = iG931(X0,X1,X2,X3) | ($true = aa(X0,$o,X2,X1))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25938])).
% 8.48/2.15  tff(f43913,plain,(
% 8.48/2.15    ( ! [X4 : $tType,X6 : fun(X4,$o),X7 : list(X4),X5 : X4] : (aa(list(X4),list(X4),cons(X4,X5),takeWhile(X4,X6,X7)) = iG932(X4,X5,X6,X7) | ($true != aa(X4,$o,X6,X5))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25937])).
% 8.48/2.15  tff(f25937,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : X0,X2 : fun(X0,$o),X3 : list(X0)] : (nil(X0) = iG932(X0,X1,X2,X3) | ($true = aa(X0,$o,X2,X1))) & ! [X4 : $tType,X5 : X4,X6 : fun(X4,$o),X7 : list(X4)] : (aa(list(X4),list(X4),cons(X4,X5),takeWhile(X4,X6,X7)) = iG932(X4,X5,X6,X7) | ($true != aa(X4,$o,X6,X5)))),
% 8.48/2.15    inference(ennf_transformation,[],[f19806])).
% 8.48/2.15  tff(f19806,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : X0,X2 : fun(X0,$o),X3 : list(X0)] : (($true != aa(X0,$o,X2,X1)) => nil(X0) = iG932(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : X4,X6 : fun(X4,$o),X7 : list(X4)] : (($true = aa(X4,$o,X6,X5)) => aa(list(X4),list(X4),cons(X4,X5),takeWhile(X4,X6,X7)) = iG932(X4,X5,X6,X7))),
% 8.48/2.15    inference(flattening,[],[f19805])).
% 8.48/2.15  tff(f19805,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : X0,X2 : fun(X0,$o),X3 : list(X0)] : (~($true = aa(X0,$o,X2,X1)) => nil(X0) = iG932(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : X4,X6 : fun(X4,$o),X7 : list(X4)] : (($true = aa(X4,$o,X6,X5)) => aa(list(X4),list(X4),cons(X4,X5),takeWhile(X4,X6,X7)) = iG932(X4,X5,X6,X7))),
% 8.48/2.15    inference(rectify,[],[f18335])).
% 8.48/2.15  tff(f18335,plain,(
% 8.48/2.15    ! [X0 : $tType,X2 : X0,X1 : fun(X0,$o),X3 : list(X0)] : (~($true = aa(X0,$o,X1,X2)) => nil(X0) = iG932(X0,X2,X1,X3)) & ! [X0 : $tType,X2 : X0,X1 : fun(X0,$o),X3 : list(X0)] : (($true = aa(X0,$o,X1,X2)) => aa(list(X0),list(X0),cons(X0,X2),takeWhile(X0,X1,X3)) = iG932(X0,X2,X1,X3))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG932])])).
% 8.48/2.15  tff(f43914,plain,(
% 8.48/2.15    ( ! [X0 : $tType,X2 : fun(X0,$o),X3 : list(X0),X1 : X0] : (nil(X0) = iG932(X0,X1,X2,X3) | ($true = aa(X0,$o,X2,X1))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25937])).
% 8.48/2.15  tff(f43911,plain,(
% 8.48/2.15    ( ! [X4 : $tType,X6 : fun(X4,$o),X7 : nat,X5 : X4] : (replicate(X4,X7,X5) = iG933(X4,X5,X6,X7) | ($true != aa(X4,$o,X6,X5))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25936])).
% 8.48/2.15  tff(f25936,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : X0,X2 : fun(X0,$o),X3 : nat] : (nil(X0) = iG933(X0,X1,X2,X3) | ($true = aa(X0,$o,X2,X1))) & ! [X4 : $tType,X5 : X4,X6 : fun(X4,$o),X7 : nat] : (replicate(X4,X7,X5) = iG933(X4,X5,X6,X7) | ($true != aa(X4,$o,X6,X5)))),
% 8.48/2.15    inference(ennf_transformation,[],[f19804])).
% 8.48/2.15  tff(f19804,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : X0,X2 : fun(X0,$o),X3 : nat] : (($true != aa(X0,$o,X2,X1)) => nil(X0) = iG933(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : X4,X6 : fun(X4,$o),X7 : nat] : (($true = aa(X4,$o,X6,X5)) => replicate(X4,X7,X5) = iG933(X4,X5,X6,X7))),
% 8.48/2.15    inference(flattening,[],[f19803])).
% 8.48/2.15  tff(f19803,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : X0,X2 : fun(X0,$o),X3 : nat] : (~($true = aa(X0,$o,X2,X1)) => nil(X0) = iG933(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : X4,X6 : fun(X4,$o),X7 : nat] : (($true = aa(X4,$o,X6,X5)) => replicate(X4,X7,X5) = iG933(X4,X5,X6,X7))),
% 8.48/2.15    inference(rectify,[],[f18338])).
% 8.48/2.15  tff(f18338,plain,(
% 8.48/2.15    ! [X0 : $tType,X3 : X0,X1 : fun(X0,$o),X2 : nat] : (~($true = aa(X0,$o,X1,X3)) => nil(X0) = iG933(X0,X3,X1,X2)) & ! [X0 : $tType,X3 : X0,X1 : fun(X0,$o),X2 : nat] : (($true = aa(X0,$o,X1,X3)) => replicate(X0,X2,X3) = iG933(X0,X3,X1,X2))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG933])])).
% 8.48/2.15  tff(f43912,plain,(
% 8.48/2.15    ( ! [X0 : $tType,X2 : fun(X0,$o),X3 : nat,X1 : X0] : (nil(X0) = iG933(X0,X1,X2,X3) | ($true = aa(X0,$o,X2,X1))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25936])).
% 8.48/2.15  tff(f61143,plain,(
% 8.48/2.15    ( ! [X6 : $tType,X7 : list(X6),X5 : X6] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(X6,nat,count_list(X6,X7),X5)),one_one(nat)) = iG934(X6,X5,X5,X7)) )),
% 8.48/2.15    inference(equality_resolution,[],[f43909])).
% 8.48/2.15  tff(f43909,plain,(
% 8.48/2.15    ( ! [X6 : $tType,X7 : list(X6),X4 : X6,X5 : X6] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(X6,nat,count_list(X6,X7),X4)),one_one(nat)) = iG934(X6,X4,X5,X7) | X4 != X5) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25935])).
% 8.48/2.15  tff(f25935,plain,(
% 8.48/2.15    ! [X0 : X2,X1 : X2,X2 : $tType,X3 : list(X2)] : (aa(X2,nat,count_list(X2,X3),X0) = iG934(X2,X0,X1,X3) | X0 = X1) & ! [X4 : X6,X5 : X6,X6 : $tType,X7 : list(X6)] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(X6,nat,count_list(X6,X7),X4)),one_one(nat)) = iG934(X6,X4,X5,X7) | X4 != X5)),
% 8.48/2.15    inference(ennf_transformation,[],[f19802])).
% 8.48/2.15  tff(f19802,plain,(
% 8.48/2.15    ! [X0 : X2,X1 : X2,X2 : $tType,X3 : list(X2)] : (X0 != X1 => aa(X2,nat,count_list(X2,X3),X0) = iG934(X2,X0,X1,X3)) & ! [X4 : X6,X5 : X6,X6 : $tType,X7 : list(X6)] : (X4 = X5 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(X6,nat,count_list(X6,X7),X4)),one_one(nat)) = iG934(X6,X4,X5,X7))),
% 8.48/2.15    inference(flattening,[],[f19801])).
% 8.48/2.15  tff(f19801,plain,(
% 8.48/2.15    ! [X0 : X2,X1 : X2,X2 : $tType,X3 : list(X2)] : (~X0 = X1 => aa(X2,nat,count_list(X2,X3),X0) = iG934(X2,X0,X1,X3)) & ! [X4 : X6,X5 : X6,X6 : $tType,X7 : list(X6)] : (X4 = X5 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(X6,nat,count_list(X6,X7),X4)),one_one(nat)) = iG934(X6,X4,X5,X7))),
% 8.48/2.15    inference(rectify,[],[f18341])).
% 8.48/2.15  tff(f18341,plain,(
% 8.48/2.15    ! [X3 : X0,X1 : X0,X0 : $tType,X2 : list(X0)] : (~X1 = X3 => aa(X0,nat,count_list(X0,X2),X3) = iG934(X0,X3,X1,X2)) & ! [X3 : X0,X1 : X0,X0 : $tType,X2 : list(X0)] : (X1 = X3 => aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(X0,nat,count_list(X0,X2),X3)),one_one(nat)) = iG934(X0,X3,X1,X2))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG934])])).
% 8.48/2.15  tff(f43910,plain,(
% 8.48/2.15    ( ! [X2 : $tType,X3 : list(X2),X0 : X2,X1 : X2] : (aa(X2,nat,count_list(X2,X3),X0) = iG934(X2,X0,X1,X3) | X0 = X1) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25935])).
% 8.48/2.15  tff(f61142,plain,(
% 8.48/2.15    ( ! [X4 : $tType,X6 : list(X4),X7 : X4] : (iG935(X4,zero_zero(nat),X6,X7) = X7) )),
% 8.48/2.15    inference(equality_resolution,[],[f43907])).
% 8.48/2.15  tff(f43907,plain,(
% 8.48/2.15    ( ! [X4 : $tType,X6 : list(X4),X7 : X4,X5 : nat] : (iG935(X4,X5,X6,X7) = X7 | zero_zero(nat) != X5) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25934])).
% 8.48/2.15  tff(f25934,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : nat,X2 : list(X0),X3 : X0] : (aa(nat,X0,nth(X0,X2),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat))) = iG935(X0,X1,X2,X3) | zero_zero(nat) = X1) & ! [X4 : $tType,X5 : nat,X6 : list(X4),X7 : X4] : (iG935(X4,X5,X6,X7) = X7 | zero_zero(nat) != X5)),
% 8.48/2.15    inference(ennf_transformation,[],[f19800])).
% 8.48/2.15  tff(f19800,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : nat,X2 : list(X0),X3 : X0] : (zero_zero(nat) != X1 => aa(nat,X0,nth(X0,X2),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat))) = iG935(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : nat,X6 : list(X4),X7 : X4] : (zero_zero(nat) = X5 => iG935(X4,X5,X6,X7) = X7)),
% 8.48/2.15    inference(flattening,[],[f19799])).
% 8.48/2.15  tff(f19799,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : nat,X2 : list(X0),X3 : X0] : (~zero_zero(nat) = X1 => aa(nat,X0,nth(X0,X2),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat))) = iG935(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : nat,X6 : list(X4),X7 : X4] : (zero_zero(nat) = X5 => iG935(X4,X5,X6,X7) = X7)),
% 8.48/2.15    inference(rectify,[],[f18344])).
% 8.48/2.15  tff(f18344,plain,(
% 8.48/2.15    ! [X0 : $tType,X3 : nat,X2 : list(X0),X1 : X0] : (~zero_zero(nat) = X3 => aa(nat,X0,nth(X0,X2),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),one_one(nat))) = iG935(X0,X3,X2,X1)) & ! [X0 : $tType,X3 : nat,X2 : list(X0),X1 : X0] : (zero_zero(nat) = X3 => iG935(X0,X3,X2,X1) = X1)),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG935])])).
% 8.48/2.15  tff(f43908,plain,(
% 8.48/2.15    ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : nat] : (aa(nat,X0,nth(X0,X2),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat))) = iG935(X0,X1,X2,X3) | zero_zero(nat) = X1) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25934])).
% 8.48/2.15  tff(f61141,plain,(
% 8.48/2.15    ( ! [X4 : $tType,X6 : $tType,X7 : X4] : (bot_bot(set(X4)) = iG936(X4,X6,bot_bot(set(X6)),X7)) )),
% 8.48/2.15    inference(equality_resolution,[],[f43905])).
% 8.48/2.15  tff(f43905,plain,(
% 8.48/2.15    ( ! [X4 : $tType,X6 : $tType,X7 : X4,X5 : set(X6)] : (bot_bot(set(X4)) = iG936(X4,X6,X5,X7) | bot_bot(set(X6)) != X5) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25933])).
% 8.48/2.15  tff(f25933,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : set(X2),X2 : $tType,X3 : X0] : (aa(set(X0),set(X0),insert(X0,X3),bot_bot(set(X0))) = iG936(X0,X2,X1,X3) | bot_bot(set(X2)) = X1) & ! [X4 : $tType,X5 : set(X6),X6 : $tType,X7 : X4] : (bot_bot(set(X4)) = iG936(X4,X6,X5,X7) | bot_bot(set(X6)) != X5)),
% 8.48/2.15    inference(ennf_transformation,[],[f19798])).
% 8.48/2.15  tff(f19798,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : set(X2),X2 : $tType,X3 : X0] : (bot_bot(set(X2)) != X1 => aa(set(X0),set(X0),insert(X0,X3),bot_bot(set(X0))) = iG936(X0,X2,X1,X3)) & ! [X4 : $tType,X5 : set(X6),X6 : $tType,X7 : X4] : (bot_bot(set(X6)) = X5 => bot_bot(set(X4)) = iG936(X4,X6,X5,X7))),
% 8.48/2.15    inference(flattening,[],[f19797])).
% 8.48/2.15  tff(f19797,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : set(X2),X2 : $tType,X3 : X0] : (~bot_bot(set(X2)) = X1 => aa(set(X0),set(X0),insert(X0,X3),bot_bot(set(X0))) = iG936(X0,X2,X1,X3)) & ! [X4 : $tType,X5 : set(X6),X6 : $tType,X7 : X4] : (bot_bot(set(X6)) = X5 => bot_bot(set(X4)) = iG936(X4,X6,X5,X7))),
% 8.48/2.15    inference(rectify,[],[f18347])).
% 8.48/2.15  tff(f18347,plain,(
% 8.48/2.15    ! [X1 : $tType,X3 : set(X0),X0 : $tType,X2 : X1] : (~bot_bot(set(X0)) = X3 => aa(set(X1),set(X1),insert(X1,X2),bot_bot(set(X1))) = iG936(X1,X0,X3,X2)) & ! [X1 : $tType,X3 : set(X0),X0 : $tType,X2 : X1] : (bot_bot(set(X0)) = X3 => bot_bot(set(X1)) = iG936(X1,X0,X3,X2))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG936])])).
% 8.48/2.15  tff(f43906,plain,(
% 8.48/2.15    ( ! [X0 : $tType,X2 : $tType,X3 : X0,X1 : set(X2)] : (aa(set(X0),set(X0),insert(X0,X3),bot_bot(set(X0))) = iG936(X0,X2,X1,X3) | bot_bot(set(X2)) = X1) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25933])).
% 8.48/2.15  tff(f61140,plain,(
% 8.48/2.15    ( ! [X4 : $tType,X6 : X4,X7 : list(X4)] : (aa(list(X4),list(X4),removeAll(X4,X6),X7) = iG937(X4,X6,X6,X7)) )),
% 8.48/2.15    inference(equality_resolution,[],[f43903])).
% 8.48/2.15  tff(f43903,plain,(
% 8.48/2.15    ( ! [X4 : $tType,X6 : X4,X7 : list(X4),X5 : X4] : (aa(list(X4),list(X4),removeAll(X4,X6),X7) = iG937(X4,X5,X6,X7) | X5 != X6) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25932])).
% 8.48/2.15  tff(f25932,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : list(X0)] : (aa(list(X0),list(X0),cons(X0,X1),aa(list(X0),list(X0),removeAll(X0,X2),X3)) = iG937(X0,X1,X2,X3) | X1 = X2) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : list(X4)] : (aa(list(X4),list(X4),removeAll(X4,X6),X7) = iG937(X4,X5,X6,X7) | X5 != X6)),
% 8.48/2.15    inference(ennf_transformation,[],[f19796])).
% 8.48/2.15  tff(f19796,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : list(X0)] : (X1 != X2 => aa(list(X0),list(X0),cons(X0,X1),aa(list(X0),list(X0),removeAll(X0,X2),X3)) = iG937(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : list(X4)] : (X5 = X6 => aa(list(X4),list(X4),removeAll(X4,X6),X7) = iG937(X4,X5,X6,X7))),
% 8.48/2.15    inference(flattening,[],[f19795])).
% 8.48/2.15  tff(f19795,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : list(X0)] : (~X1 = X2 => aa(list(X0),list(X0),cons(X0,X1),aa(list(X0),list(X0),removeAll(X0,X2),X3)) = iG937(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : list(X4)] : (X5 = X6 => aa(list(X4),list(X4),removeAll(X4,X6),X7) = iG937(X4,X5,X6,X7))),
% 8.48/2.15    inference(rectify,[],[f18350])).
% 8.48/2.15  tff(f18350,plain,(
% 8.48/2.15    ! [X0 : $tType,X2 : X0,X1 : X0,X3 : list(X0)] : (~X1 = X2 => aa(list(X0),list(X0),cons(X0,X2),aa(list(X0),list(X0),removeAll(X0,X1),X3)) = iG937(X0,X2,X1,X3)) & ! [X0 : $tType,X2 : X0,X1 : X0,X3 : list(X0)] : (X1 = X2 => aa(list(X0),list(X0),removeAll(X0,X1),X3) = iG937(X0,X2,X1,X3))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG937])])).
% 8.48/2.15  tff(f43904,plain,(
% 8.48/2.15    ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (aa(list(X0),list(X0),cons(X0,X1),aa(list(X0),list(X0),removeAll(X0,X2),X3)) = iG937(X0,X1,X2,X3) | X1 = X2) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25932])).
% 8.48/2.15  tff(f43901,plain,(
% 8.48/2.15    ( ! [X4 : $tType,X6 : fun(X4,$o),X7 : list(X4),X5 : X4] : (aa(list(X4),list(X4),cons(X4,X5),aa(list(X4),list(X4),filter2(X4,X6),X7)) = iG938(X4,X5,X6,X7) | ($true != aa(X4,$o,X6,X5))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25931])).
% 8.48/2.15  tff(f25931,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : X0,X2 : fun(X0,$o),X3 : list(X0)] : (aa(list(X0),list(X0),filter2(X0,X2),X3) = iG938(X0,X1,X2,X3) | ($true = aa(X0,$o,X2,X1))) & ! [X4 : $tType,X5 : X4,X6 : fun(X4,$o),X7 : list(X4)] : (aa(list(X4),list(X4),cons(X4,X5),aa(list(X4),list(X4),filter2(X4,X6),X7)) = iG938(X4,X5,X6,X7) | ($true != aa(X4,$o,X6,X5)))),
% 8.48/2.15    inference(ennf_transformation,[],[f19794])).
% 8.48/2.15  tff(f19794,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : X0,X2 : fun(X0,$o),X3 : list(X0)] : (($true != aa(X0,$o,X2,X1)) => aa(list(X0),list(X0),filter2(X0,X2),X3) = iG938(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : X4,X6 : fun(X4,$o),X7 : list(X4)] : (($true = aa(X4,$o,X6,X5)) => aa(list(X4),list(X4),cons(X4,X5),aa(list(X4),list(X4),filter2(X4,X6),X7)) = iG938(X4,X5,X6,X7))),
% 8.48/2.15    inference(flattening,[],[f19793])).
% 8.48/2.15  tff(f19793,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : X0,X2 : fun(X0,$o),X3 : list(X0)] : (~($true = aa(X0,$o,X2,X1)) => aa(list(X0),list(X0),filter2(X0,X2),X3) = iG938(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : X4,X6 : fun(X4,$o),X7 : list(X4)] : (($true = aa(X4,$o,X6,X5)) => aa(list(X4),list(X4),cons(X4,X5),aa(list(X4),list(X4),filter2(X4,X6),X7)) = iG938(X4,X5,X6,X7))),
% 8.48/2.15    inference(rectify,[],[f18353])).
% 8.48/2.15  tff(f18353,plain,(
% 8.48/2.15    ! [X0 : $tType,X2 : X0,X1 : fun(X0,$o),X3 : list(X0)] : (~($true = aa(X0,$o,X1,X2)) => aa(list(X0),list(X0),filter2(X0,X1),X3) = iG938(X0,X2,X1,X3)) & ! [X0 : $tType,X2 : X0,X1 : fun(X0,$o),X3 : list(X0)] : (($true = aa(X0,$o,X1,X2)) => aa(list(X0),list(X0),cons(X0,X2),aa(list(X0),list(X0),filter2(X0,X1),X3)) = iG938(X0,X2,X1,X3))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG938])])).
% 8.48/2.15  tff(f43902,plain,(
% 8.48/2.15    ( ! [X0 : $tType,X2 : fun(X0,$o),X3 : list(X0),X1 : X0] : (aa(list(X0),list(X0),filter2(X0,X2),X3) = iG938(X0,X1,X2,X3) | ($true = aa(X0,$o,X2,X1))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25931])).
% 8.48/2.15  tff(f61139,plain,(
% 8.48/2.15    ( ! [X4 : $tType,X6 : X4,X7 : list(X4)] : (remdups_adj(X4,aa(list(X4),list(X4),cons(X4,X6),X7)) = iG939(X4,X6,X6,X7)) )),
% 8.48/2.15    inference(equality_resolution,[],[f43899])).
% 8.48/2.15  tff(f43899,plain,(
% 8.48/2.15    ( ! [X4 : $tType,X6 : X4,X7 : list(X4),X5 : X4] : (remdups_adj(X4,aa(list(X4),list(X4),cons(X4,X6),X7)) = iG939(X4,X5,X6,X7) | X5 != X6) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25930])).
% 8.48/2.15  tff(f25930,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : list(X0)] : (aa(list(X0),list(X0),cons(X0,X2),remdups_adj(X0,aa(list(X0),list(X0),cons(X0,X1),X3))) = iG939(X0,X1,X2,X3) | X1 = X2) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : list(X4)] : (remdups_adj(X4,aa(list(X4),list(X4),cons(X4,X6),X7)) = iG939(X4,X5,X6,X7) | X5 != X6)),
% 8.48/2.15    inference(ennf_transformation,[],[f19792])).
% 8.48/2.15  tff(f19792,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : list(X0)] : (X1 != X2 => aa(list(X0),list(X0),cons(X0,X2),remdups_adj(X0,aa(list(X0),list(X0),cons(X0,X1),X3))) = iG939(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : list(X4)] : (X5 = X6 => remdups_adj(X4,aa(list(X4),list(X4),cons(X4,X6),X7)) = iG939(X4,X5,X6,X7))),
% 8.48/2.15    inference(flattening,[],[f19791])).
% 8.48/2.15  tff(f19791,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : list(X0)] : (~X1 = X2 => aa(list(X0),list(X0),cons(X0,X2),remdups_adj(X0,aa(list(X0),list(X0),cons(X0,X1),X3))) = iG939(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : list(X4)] : (X5 = X6 => remdups_adj(X4,aa(list(X4),list(X4),cons(X4,X6),X7)) = iG939(X4,X5,X6,X7))),
% 8.48/2.15    inference(rectify,[],[f18356])).
% 8.48/2.15  tff(f18356,plain,(
% 8.48/2.15    ! [X0 : $tType,X2 : X0,X1 : X0,X3 : list(X0)] : (~X1 = X2 => aa(list(X0),list(X0),cons(X0,X1),remdups_adj(X0,aa(list(X0),list(X0),cons(X0,X2),X3))) = iG939(X0,X2,X1,X3)) & ! [X0 : $tType,X2 : X0,X1 : X0,X3 : list(X0)] : (X1 = X2 => remdups_adj(X0,aa(list(X0),list(X0),cons(X0,X1),X3)) = iG939(X0,X2,X1,X3))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG939])])).
% 8.48/2.15  tff(f43900,plain,(
% 8.48/2.15    ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (aa(list(X0),list(X0),cons(X0,X2),remdups_adj(X0,aa(list(X0),list(X0),cons(X0,X1),X3))) = iG939(X0,X1,X2,X3) | X1 = X2) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25930])).
% 8.48/2.15  tff(f43897,plain,(
% 8.48/2.15    ( ! [X4 : $tType,X6 : X4,X7 : list(X4),X5 : list(X4)] : (aa(list(X4),list(X4),aa(list(X4),fun(list(X4),list(X4)),append(X4),remove1(X4,X6,X5)),X7) = iG940(X4,X5,X6,X7) | ~member(X4,X6,aa(list(X4),set(X4),set2(X4),X5))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25929])).
% 8.48/2.15  tff(f25929,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : list(X0),X2 : X0,X3 : list(X0)] : (aa(list(X0),list(X0),aa(list(X0),fun(list(X0),list(X0)),append(X0),X1),remove1(X0,X2,X3)) = iG940(X0,X1,X2,X3) | member(X0,X2,aa(list(X0),set(X0),set2(X0),X1))) & ! [X4 : $tType,X5 : list(X4),X6 : X4,X7 : list(X4)] : (aa(list(X4),list(X4),aa(list(X4),fun(list(X4),list(X4)),append(X4),remove1(X4,X6,X5)),X7) = iG940(X4,X5,X6,X7) | ~member(X4,X6,aa(list(X4),set(X4),set2(X4),X5)))),
% 8.48/2.15    inference(ennf_transformation,[],[f19790])).
% 8.48/2.15  tff(f19790,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : list(X0),X2 : X0,X3 : list(X0)] : (~member(X0,X2,aa(list(X0),set(X0),set2(X0),X1)) => aa(list(X0),list(X0),aa(list(X0),fun(list(X0),list(X0)),append(X0),X1),remove1(X0,X2,X3)) = iG940(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : list(X4),X6 : X4,X7 : list(X4)] : (member(X4,X6,aa(list(X4),set(X4),set2(X4),X5)) => aa(list(X4),list(X4),aa(list(X4),fun(list(X4),list(X4)),append(X4),remove1(X4,X6,X5)),X7) = iG940(X4,X5,X6,X7))),
% 8.48/2.15    inference(flattening,[],[f19789])).
% 8.48/2.15  tff(f19789,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : list(X0),X2 : X0,X3 : list(X0)] : (~member(X0,X2,aa(list(X0),set(X0),set2(X0),X1)) => aa(list(X0),list(X0),aa(list(X0),fun(list(X0),list(X0)),append(X0),X1),remove1(X0,X2,X3)) = iG940(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : list(X4),X6 : X4,X7 : list(X4)] : (member(X4,X6,aa(list(X4),set(X4),set2(X4),X5)) => aa(list(X4),list(X4),aa(list(X4),fun(list(X4),list(X4)),append(X4),remove1(X4,X6,X5)),X7) = iG940(X4,X5,X6,X7))),
% 8.48/2.15    inference(rectify,[],[f18359])).
% 8.48/2.15  tff(f18359,plain,(
% 8.48/2.15    ! [X0 : $tType,X2 : list(X0),X1 : X0,X3 : list(X0)] : (~member(X0,X1,aa(list(X0),set(X0),set2(X0),X2)) => aa(list(X0),list(X0),aa(list(X0),fun(list(X0),list(X0)),append(X0),X2),remove1(X0,X1,X3)) = iG940(X0,X2,X1,X3)) & ! [X0 : $tType,X2 : list(X0),X1 : X0,X3 : list(X0)] : (member(X0,X1,aa(list(X0),set(X0),set2(X0),X2)) => aa(list(X0),list(X0),aa(list(X0),fun(list(X0),list(X0)),append(X0),remove1(X0,X1,X2)),X3) = iG940(X0,X2,X1,X3))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG940])])).
% 8.48/2.15  tff(f43898,plain,(
% 8.48/2.15    ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (aa(list(X0),list(X0),aa(list(X0),fun(list(X0),list(X0)),append(X0),X1),remove1(X0,X2,X3)) = iG940(X0,X1,X2,X3) | member(X0,X2,aa(list(X0),set(X0),set2(X0),X1))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25929])).
% 8.48/2.15  tff(f43894,plain,(
% 8.48/2.15    ( ! [X5 : $tType,X8 : list(X5),X6 : fun(X5,$o),X7 : list(X5)] : (aa(list(X5),list(X5),aa(list(X5),fun(list(X5),list(X5)),append(X5),X7),takeWhile(X5,X6,X8)) = iG941(X5,X6,X7,X8) | member(X5,sK1675(X5,X6,X7),aa(list(X5),set(X5),set2(X5),X7))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36060])).
% 8.48/2.15  tff(f36060,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : fun(X0,$o),X2 : list(X0),X3 : list(X0)] : (takeWhile(X0,X1,X2) = iG941(X0,X1,X2,X3) | ! [X4 : X0] : (($true = aa(X0,$o,X1,X4)) | ~member(X0,X4,aa(list(X0),set(X0),set2(X0),X2)))) & ! [X5 : $tType,X6 : fun(X5,$o),X7 : list(X5),X8 : list(X5)] : (aa(list(X5),list(X5),aa(list(X5),fun(list(X5),list(X5)),append(X5),X7),takeWhile(X5,X6,X8)) = iG941(X5,X6,X7,X8) | (($true != aa(X5,$o,X6,sK1675(X5,X6,X7))) & member(X5,sK1675(X5,X6,X7),aa(list(X5),set(X5),set2(X5),X7))))),
% 8.48/2.15    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1675])],[f25928,f36059])).
% 8.48/2.15  tff(f36059,plain,(
% 8.48/2.15    ! [X5 : $tType,X6 : fun(X5,$o),X7 : list(X5)] : (? [X9 : X5] : (($true != aa(X5,$o,X6,X9)) & member(X5,X9,aa(list(X5),set(X5),set2(X5),X7))) => (($true != aa(X5,$o,X6,sK1675(X5,X6,X7))) & member(X5,sK1675(X5,X6,X7),aa(list(X5),set(X5),set2(X5),X7))))),
% 8.48/2.15    introduced(choice_axiom,[])).
% 8.48/2.15  tff(f25928,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : fun(X0,$o),X2 : list(X0),X3 : list(X0)] : (takeWhile(X0,X1,X2) = iG941(X0,X1,X2,X3) | ! [X4 : X0] : (($true = aa(X0,$o,X1,X4)) | ~member(X0,X4,aa(list(X0),set(X0),set2(X0),X2)))) & ! [X5 : $tType,X6 : fun(X5,$o),X7 : list(X5),X8 : list(X5)] : (aa(list(X5),list(X5),aa(list(X5),fun(list(X5),list(X5)),append(X5),X7),takeWhile(X5,X6,X8)) = iG941(X5,X6,X7,X8) | ? [X9 : X5] : (($true != aa(X5,$o,X6,X9)) & member(X5,X9,aa(list(X5),set(X5),set2(X5),X7))))),
% 8.48/2.15    inference(ennf_transformation,[],[f19788])).
% 8.48/2.15  tff(f19788,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : fun(X0,$o),X2 : list(X0),X3 : list(X0)] : (~! [X4 : X0] : (member(X0,X4,aa(list(X0),set(X0),set2(X0),X2)) => ($true = aa(X0,$o,X1,X4))) => takeWhile(X0,X1,X2) = iG941(X0,X1,X2,X3)) & ! [X5 : $tType,X6 : fun(X5,$o),X7 : list(X5),X8 : list(X5)] : (! [X9 : X5] : (member(X5,X9,aa(list(X5),set(X5),set2(X5),X7)) => ($true = aa(X5,$o,X6,X9))) => aa(list(X5),list(X5),aa(list(X5),fun(list(X5),list(X5)),append(X5),X7),takeWhile(X5,X6,X8)) = iG941(X5,X6,X7,X8))),
% 8.48/2.15    inference(rectify,[],[f18362])).
% 8.48/2.15  tff(f18362,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : fun(X0,$o),X2 : list(X0),X3 : list(X0)] : (~! [X4 : X0] : (member(X0,X4,aa(list(X0),set(X0),set2(X0),X2)) => ($true = aa(X0,$o,X1,X4))) => takeWhile(X0,X1,X2) = iG941(X0,X1,X2,X3)) & ! [X0 : $tType,X1 : fun(X0,$o),X2 : list(X0),X3 : list(X0)] : (! [X4 : X0] : (member(X0,X4,aa(list(X0),set(X0),set2(X0),X2)) => ($true = aa(X0,$o,X1,X4))) => aa(list(X0),list(X0),aa(list(X0),fun(list(X0),list(X0)),append(X0),X2),takeWhile(X0,X1,X3)) = iG941(X0,X1,X2,X3))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG941])])).
% 8.48/2.15  tff(f43895,plain,(
% 8.48/2.15    ( ! [X5 : $tType,X8 : list(X5),X6 : fun(X5,$o),X7 : list(X5)] : (aa(list(X5),list(X5),aa(list(X5),fun(list(X5),list(X5)),append(X5),X7),takeWhile(X5,X6,X8)) = iG941(X5,X6,X7,X8) | ($true != aa(X5,$o,X6,sK1675(X5,X6,X7)))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36060])).
% 8.48/2.15  tff(f43896,plain,(
% 8.48/2.15    ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,$o),X4 : X0] : (takeWhile(X0,X1,X2) = iG941(X0,X1,X2,X3) | ($true = aa(X0,$o,X1,X4)) | ~member(X0,X4,aa(list(X0),set(X0),set2(X0),X2))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36060])).
% 8.48/2.15  tff(f43892,plain,(
% 8.48/2.15    ( ! [X4 : $tType,X6 : nat,X7 : list(X4),X5 : list(X4)] : (aa(nat,X4,nth(X4,X5),X6) = iG942(X4,X5,X6,X7) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),aa(list(X4),nat,size_size(list(X4)),X5)))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25927])).
% 8.48/2.15  tff(f25927,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : list(X0),X2 : nat,X3 : list(X0)] : (aa(nat,X0,nth(X0,X3),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X2),aa(list(X0),nat,size_size(list(X0)),X1))) = iG942(X0,X1,X2,X3) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),aa(list(X0),nat,size_size(list(X0)),X1)))) & ! [X4 : $tType,X5 : list(X4),X6 : nat,X7 : list(X4)] : (aa(nat,X4,nth(X4,X5),X6) = iG942(X4,X5,X6,X7) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),aa(list(X4),nat,size_size(list(X4)),X5))))),
% 8.48/2.15    inference(ennf_transformation,[],[f19787])).
% 8.48/2.15  tff(f19787,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : list(X0),X2 : nat,X3 : list(X0)] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),aa(list(X0),nat,size_size(list(X0)),X1))) => aa(nat,X0,nth(X0,X3),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X2),aa(list(X0),nat,size_size(list(X0)),X1))) = iG942(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : list(X4),X6 : nat,X7 : list(X4)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),aa(list(X4),nat,size_size(list(X4)),X5))) => aa(nat,X4,nth(X4,X5),X6) = iG942(X4,X5,X6,X7))),
% 8.48/2.15    inference(flattening,[],[f19786])).
% 8.48/2.15  tff(f19786,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : list(X0),X2 : nat,X3 : list(X0)] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),aa(list(X0),nat,size_size(list(X0)),X1))) => aa(nat,X0,nth(X0,X3),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X2),aa(list(X0),nat,size_size(list(X0)),X1))) = iG942(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : list(X4),X6 : nat,X7 : list(X4)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),aa(list(X4),nat,size_size(list(X4)),X5))) => aa(nat,X4,nth(X4,X5),X6) = iG942(X4,X5,X6,X7))),
% 8.48/2.15    inference(rectify,[],[f18365])).
% 8.48/2.15  tff(f18365,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : list(X0),X3 : nat,X2 : list(X0)] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),aa(list(X0),nat,size_size(list(X0)),X1))) => aa(nat,X0,nth(X0,X2),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),aa(list(X0),nat,size_size(list(X0)),X1))) = iG942(X0,X1,X3,X2)) & ! [X0 : $tType,X1 : list(X0),X3 : nat,X2 : list(X0)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),aa(list(X0),nat,size_size(list(X0)),X1))) => aa(nat,X0,nth(X0,X1),X3) = iG942(X0,X1,X3,X2))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG942])])).
% 8.48/2.15  tff(f43893,plain,(
% 8.48/2.15    ( ! [X0 : $tType,X2 : nat,X3 : list(X0),X1 : list(X0)] : (aa(nat,X0,nth(X0,X3),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X2),aa(list(X0),nat,size_size(list(X0)),X1))) = iG942(X0,X1,X2,X3) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),aa(list(X0),nat,size_size(list(X0)),X1)))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25927])).
% 8.48/2.15  tff(f61138,plain,(
% 8.48/2.15    ( ! [X4 : $tType,X6 : X4,X7 : list(X4)] : (aa(list(X4),list(X4),cons(X4,X6),X7) = iG943(X4,X6,X6,X7)) )),
% 8.48/2.15    inference(equality_resolution,[],[f43890])).
% 8.48/2.15  tff(f43890,plain,(
% 8.48/2.15    ( ! [X4 : $tType,X6 : X4,X7 : list(X4),X5 : X4] : (aa(list(X4),list(X4),cons(X4,X5),X7) = iG943(X4,X5,X6,X7) | X5 != X6) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25926])).
% 8.48/2.15  tff(f25926,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : list(X0)] : (aa(list(X0),list(X0),cons(X0,X2),aa(list(X0),list(X0),cons(X0,X1),X3)) = iG943(X0,X1,X2,X3) | X1 = X2) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : list(X4)] : (aa(list(X4),list(X4),cons(X4,X5),X7) = iG943(X4,X5,X6,X7) | X5 != X6)),
% 8.48/2.15    inference(ennf_transformation,[],[f19785])).
% 8.48/2.15  tff(f19785,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : list(X0)] : (X1 != X2 => aa(list(X0),list(X0),cons(X0,X2),aa(list(X0),list(X0),cons(X0,X1),X3)) = iG943(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : list(X4)] : (X5 = X6 => aa(list(X4),list(X4),cons(X4,X5),X7) = iG943(X4,X5,X6,X7))),
% 8.48/2.15    inference(flattening,[],[f19784])).
% 8.48/2.15  tff(f19784,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : X0,X2 : X0,X3 : list(X0)] : (~X1 = X2 => aa(list(X0),list(X0),cons(X0,X2),aa(list(X0),list(X0),cons(X0,X1),X3)) = iG943(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : X4,X6 : X4,X7 : list(X4)] : (X5 = X6 => aa(list(X4),list(X4),cons(X4,X5),X7) = iG943(X4,X5,X6,X7))),
% 8.48/2.15    inference(rectify,[],[f18368])).
% 8.48/2.15  tff(f18368,plain,(
% 8.48/2.15    ! [X0 : $tType,X2 : X0,X1 : X0,X3 : list(X0)] : (~X1 = X2 => aa(list(X0),list(X0),cons(X0,X1),aa(list(X0),list(X0),cons(X0,X2),X3)) = iG943(X0,X2,X1,X3)) & ! [X0 : $tType,X2 : X0,X1 : X0,X3 : list(X0)] : (X1 = X2 => aa(list(X0),list(X0),cons(X0,X2),X3) = iG943(X0,X2,X1,X3))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG943])])).
% 8.48/2.15  tff(f43891,plain,(
% 8.48/2.15    ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (aa(list(X0),list(X0),cons(X0,X2),aa(list(X0),list(X0),cons(X0,X1),X3)) = iG943(X0,X1,X2,X3) | X1 = X2) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25926])).
% 8.48/2.15  tff(f43888,plain,(
% 8.48/2.15    ( ! [X4 : $tType,X6 : fun(X4,$o),X7 : set(X4),X5 : X4] : (aa(set(X4),set(X4),insert(X4,X5),X7) = iG944(X4,X5,X6,X7) | ($true != aa(X4,$o,X6,X5))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25925])).
% 8.48/2.15  tff(f25925,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : X0,X2 : fun(X0,$o),X3 : set(X0)] : (iG944(X0,X1,X2,X3) = X3 | ($true = aa(X0,$o,X2,X1))) & ! [X4 : $tType,X5 : X4,X6 : fun(X4,$o),X7 : set(X4)] : (aa(set(X4),set(X4),insert(X4,X5),X7) = iG944(X4,X5,X6,X7) | ($true != aa(X4,$o,X6,X5)))),
% 8.48/2.15    inference(ennf_transformation,[],[f19783])).
% 8.48/2.15  tff(f19783,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : X0,X2 : fun(X0,$o),X3 : set(X0)] : (($true != aa(X0,$o,X2,X1)) => iG944(X0,X1,X2,X3) = X3) & ! [X4 : $tType,X5 : X4,X6 : fun(X4,$o),X7 : set(X4)] : (($true = aa(X4,$o,X6,X5)) => aa(set(X4),set(X4),insert(X4,X5),X7) = iG944(X4,X5,X6,X7))),
% 8.48/2.15    inference(flattening,[],[f19782])).
% 8.48/2.15  tff(f19782,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : X0,X2 : fun(X0,$o),X3 : set(X0)] : (~($true = aa(X0,$o,X2,X1)) => iG944(X0,X1,X2,X3) = X3) & ! [X4 : $tType,X5 : X4,X6 : fun(X4,$o),X7 : set(X4)] : (($true = aa(X4,$o,X6,X5)) => aa(set(X4),set(X4),insert(X4,X5),X7) = iG944(X4,X5,X6,X7))),
% 8.48/2.15    inference(rectify,[],[f18371])).
% 8.48/2.15  tff(f18371,plain,(
% 8.48/2.15    ! [X0 : $tType,X2 : X0,X1 : fun(X0,$o),X3 : set(X0)] : (~($true = aa(X0,$o,X1,X2)) => iG944(X0,X2,X1,X3) = X3) & ! [X0 : $tType,X2 : X0,X1 : fun(X0,$o),X3 : set(X0)] : (($true = aa(X0,$o,X1,X2)) => aa(set(X0),set(X0),insert(X0,X2),X3) = iG944(X0,X2,X1,X3))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG944])])).
% 8.48/2.15  tff(f43889,plain,(
% 8.48/2.15    ( ! [X0 : $tType,X2 : fun(X0,$o),X3 : set(X0),X1 : X0] : (iG944(X0,X1,X2,X3) = X3 | ($true = aa(X0,$o,X2,X1))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25925])).
% 8.48/2.15  tff(f43886,plain,(
% 8.48/2.15    ( ! [X4 : $tType,X6 : X4,X7 : set(X4),X5 : set(X4)] : (aa(set(X4),set(X4),aa(set(X4),fun(set(X4),set(X4)),minus_minus(set(X4)),X7),X5) = iG945(X4,X5,X6,X7) | ~member(X4,X6,X5)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25924])).
% 8.48/2.15  tff(f25924,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : set(X0),X2 : X0,X3 : set(X0)] : (aa(set(X0),set(X0),insert(X0,X2),aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X3),X1)) = iG945(X0,X1,X2,X3) | member(X0,X2,X1)) & ! [X4 : $tType,X5 : set(X4),X6 : X4,X7 : set(X4)] : (aa(set(X4),set(X4),aa(set(X4),fun(set(X4),set(X4)),minus_minus(set(X4)),X7),X5) = iG945(X4,X5,X6,X7) | ~member(X4,X6,X5))),
% 8.48/2.15    inference(ennf_transformation,[],[f19781])).
% 8.48/2.15  tff(f19781,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : set(X0),X2 : X0,X3 : set(X0)] : (~member(X0,X2,X1) => aa(set(X0),set(X0),insert(X0,X2),aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X3),X1)) = iG945(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : set(X4),X6 : X4,X7 : set(X4)] : (member(X4,X6,X5) => aa(set(X4),set(X4),aa(set(X4),fun(set(X4),set(X4)),minus_minus(set(X4)),X7),X5) = iG945(X4,X5,X6,X7))),
% 8.48/2.15    inference(flattening,[],[f19780])).
% 8.48/2.15  tff(f19780,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : set(X0),X2 : X0,X3 : set(X0)] : (~member(X0,X2,X1) => aa(set(X0),set(X0),insert(X0,X2),aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X3),X1)) = iG945(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : set(X4),X6 : X4,X7 : set(X4)] : (member(X4,X6,X5) => aa(set(X4),set(X4),aa(set(X4),fun(set(X4),set(X4)),minus_minus(set(X4)),X7),X5) = iG945(X4,X5,X6,X7))),
% 8.48/2.15    inference(rectify,[],[f18374])).
% 8.48/2.15  tff(f18374,plain,(
% 8.48/2.15    ! [X0 : $tType,X3 : set(X0),X1 : X0,X2 : set(X0)] : (~member(X0,X1,X3) => aa(set(X0),set(X0),insert(X0,X1),aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X2),X3)) = iG945(X0,X3,X1,X2)) & ! [X0 : $tType,X3 : set(X0),X1 : X0,X2 : set(X0)] : (member(X0,X1,X3) => aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X2),X3) = iG945(X0,X3,X1,X2))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG945])])).
% 8.48/2.15  tff(f43887,plain,(
% 8.48/2.15    ( ! [X0 : $tType,X2 : X0,X3 : set(X0),X1 : set(X0)] : (aa(set(X0),set(X0),insert(X0,X2),aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X3),X1)) = iG945(X0,X1,X2,X3) | member(X0,X2,X1)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25924])).
% 8.48/2.15  tff(f61137,plain,(
% 8.48/2.15    ( ! [X4 : $tType,X6 : $tType,X7 : set(X4)] : (top_top(set(X4)) = iG946(X4,X6,bot_bot(set(X6)),X7)) )),
% 8.48/2.15    inference(equality_resolution,[],[f43884])).
% 8.48/2.15  tff(f43884,plain,(
% 8.48/2.15    ( ! [X4 : $tType,X6 : $tType,X7 : set(X4),X5 : set(X6)] : (top_top(set(X4)) = iG946(X4,X6,X5,X7) | bot_bot(set(X6)) != X5) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25923])).
% 8.48/2.15  tff(f25923,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : set(X2),X2 : $tType,X3 : set(X0)] : (iG946(X0,X2,X1,X3) = X3 | bot_bot(set(X2)) = X1) & ! [X4 : $tType,X5 : set(X6),X6 : $tType,X7 : set(X4)] : (top_top(set(X4)) = iG946(X4,X6,X5,X7) | bot_bot(set(X6)) != X5)),
% 8.48/2.15    inference(ennf_transformation,[],[f19779])).
% 8.48/2.15  tff(f19779,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : set(X2),X2 : $tType,X3 : set(X0)] : (bot_bot(set(X2)) != X1 => iG946(X0,X2,X1,X3) = X3) & ! [X4 : $tType,X5 : set(X6),X6 : $tType,X7 : set(X4)] : (bot_bot(set(X6)) = X5 => top_top(set(X4)) = iG946(X4,X6,X5,X7))),
% 8.48/2.15    inference(flattening,[],[f19778])).
% 8.48/2.15  tff(f19778,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : set(X2),X2 : $tType,X3 : set(X0)] : (~bot_bot(set(X2)) = X1 => iG946(X0,X2,X1,X3) = X3) & ! [X4 : $tType,X5 : set(X6),X6 : $tType,X7 : set(X4)] : (bot_bot(set(X6)) = X5 => top_top(set(X4)) = iG946(X4,X6,X5,X7))),
% 8.48/2.15    inference(rectify,[],[f18377])).
% 8.48/2.15  tff(f18377,plain,(
% 8.48/2.15    ! [X1 : $tType,X3 : set(X0),X0 : $tType,X2 : set(X1)] : (~bot_bot(set(X0)) = X3 => iG946(X1,X0,X3,X2) = X2) & ! [X1 : $tType,X3 : set(X0),X0 : $tType,X2 : set(X1)] : (bot_bot(set(X0)) = X3 => top_top(set(X1)) = iG946(X1,X0,X3,X2))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG946])])).
% 8.48/2.15  tff(f43885,plain,(
% 8.48/2.15    ( ! [X0 : $tType,X2 : $tType,X3 : set(X0),X1 : set(X2)] : (iG946(X0,X2,X1,X3) = X3 | bot_bot(set(X2)) = X1) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25923])).
% 8.48/2.15  tff(f61136,plain,(
% 8.48/2.15    ( ! [X4 : $tType,X6 : $tType,X7 : set(X4)] : (bot_bot(set(X4)) = iG947(X4,X6,bot_bot(set(X6)),X7)) )),
% 8.48/2.15    inference(equality_resolution,[],[f43882])).
% 8.48/2.15  tff(f43882,plain,(
% 8.48/2.15    ( ! [X4 : $tType,X6 : $tType,X7 : set(X4),X5 : set(X6)] : (bot_bot(set(X4)) = iG947(X4,X6,X5,X7) | bot_bot(set(X6)) != X5) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25922])).
% 8.48/2.15  tff(f25922,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : set(X2),X2 : $tType,X3 : set(X0)] : (iG947(X0,X2,X1,X3) = X3 | bot_bot(set(X2)) = X1) & ! [X4 : $tType,X5 : set(X6),X6 : $tType,X7 : set(X4)] : (bot_bot(set(X4)) = iG947(X4,X6,X5,X7) | bot_bot(set(X6)) != X5)),
% 8.48/2.15    inference(ennf_transformation,[],[f19777])).
% 8.48/2.15  tff(f19777,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : set(X2),X2 : $tType,X3 : set(X0)] : (bot_bot(set(X2)) != X1 => iG947(X0,X2,X1,X3) = X3) & ! [X4 : $tType,X5 : set(X6),X6 : $tType,X7 : set(X4)] : (bot_bot(set(X6)) = X5 => bot_bot(set(X4)) = iG947(X4,X6,X5,X7))),
% 8.48/2.15    inference(flattening,[],[f19776])).
% 8.48/2.15  tff(f19776,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : set(X2),X2 : $tType,X3 : set(X0)] : (~bot_bot(set(X2)) = X1 => iG947(X0,X2,X1,X3) = X3) & ! [X4 : $tType,X5 : set(X6),X6 : $tType,X7 : set(X4)] : (bot_bot(set(X6)) = X5 => bot_bot(set(X4)) = iG947(X4,X6,X5,X7))),
% 8.48/2.15    inference(rectify,[],[f18380])).
% 8.48/2.15  tff(f18380,plain,(
% 8.48/2.15    ! [X1 : $tType,X3 : set(X0),X0 : $tType,X2 : set(X1)] : (~bot_bot(set(X0)) = X3 => iG947(X1,X0,X3,X2) = X2) & ! [X1 : $tType,X3 : set(X0),X0 : $tType,X2 : set(X1)] : (bot_bot(set(X0)) = X3 => bot_bot(set(X1)) = iG947(X1,X0,X3,X2))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG947])])).
% 8.48/2.15  tff(f43883,plain,(
% 8.48/2.15    ( ! [X0 : $tType,X2 : $tType,X3 : set(X0),X1 : set(X2)] : (iG947(X0,X2,X1,X3) = X3 | bot_bot(set(X2)) = X1) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25922])).
% 8.48/2.15  tff(f61135,plain,(
% 8.48/2.15    ( ! [X3 : $tType,X5 : X3] : (nil(X3) = iG948(X3,X5,X5)) )),
% 8.48/2.15    inference(equality_resolution,[],[f43880])).
% 8.48/2.15  tff(f43880,plain,(
% 8.48/2.15    ( ! [X3 : $tType,X4 : X3,X5 : X3] : (nil(X3) = iG948(X3,X4,X5) | X4 != X5) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25921])).
% 8.48/2.15  tff(f25921,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : X0,X2 : X0] : (aa(list(X0),list(X0),cons(X0,X1),nil(X0)) = iG948(X0,X1,X2) | X1 = X2) & ! [X3 : $tType,X4 : X3,X5 : X3] : (nil(X3) = iG948(X3,X4,X5) | X4 != X5)),
% 8.48/2.15    inference(ennf_transformation,[],[f19775])).
% 8.48/2.15  tff(f19775,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : X0,X2 : X0] : (X1 != X2 => aa(list(X0),list(X0),cons(X0,X1),nil(X0)) = iG948(X0,X1,X2)) & ! [X3 : $tType,X4 : X3,X5 : X3] : (X4 = X5 => nil(X3) = iG948(X3,X4,X5))),
% 8.48/2.15    inference(flattening,[],[f19774])).
% 8.48/2.15  tff(f19774,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : X0,X2 : X0] : (~X1 = X2 => aa(list(X0),list(X0),cons(X0,X1),nil(X0)) = iG948(X0,X1,X2)) & ! [X3 : $tType,X4 : X3,X5 : X3] : (X4 = X5 => nil(X3) = iG948(X3,X4,X5))),
% 8.48/2.15    inference(rectify,[],[f18383])).
% 8.48/2.15  tff(f18383,plain,(
% 8.48/2.15    ! [X0 : $tType,X3 : X0,X2 : X0] : (~X2 = X3 => aa(list(X0),list(X0),cons(X0,X3),nil(X0)) = iG948(X0,X3,X2)) & ! [X0 : $tType,X3 : X0,X2 : X0] : (X2 = X3 => nil(X0) = iG948(X0,X3,X2))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG948])])).
% 8.48/2.15  tff(f43881,plain,(
% 8.48/2.15    ( ! [X0 : $tType,X2 : X0,X1 : X0] : (aa(list(X0),list(X0),cons(X0,X1),nil(X0)) = iG948(X0,X1,X2) | X1 = X2) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25921])).
% 8.48/2.15  tff(f43878,plain,(
% 8.48/2.15    ( ! [X6 : $tType,X7 : fun(X6,nat),X4 : set(X6),X5 : X6] : (aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(set(X6),nat,aa(fun(X6,nat),fun(set(X6),nat),groups7311177749621191930dd_sum(X6,nat),X7),X4)),aa(X6,nat,X7,X5)) = iG949(X6,X4,X5,X7) | ~member(X6,X5,X4)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25920])).
% 8.48/2.15  tff(f25920,plain,(
% 8.48/2.15    ! [X0 : set(X2),X1 : X2,X2 : $tType,X3 : fun(X2,nat)] : (aa(set(X2),nat,aa(fun(X2,nat),fun(set(X2),nat),groups7311177749621191930dd_sum(X2,nat),X3),X0) = iG949(X2,X0,X1,X3) | member(X2,X1,X0)) & ! [X4 : set(X6),X5 : X6,X6 : $tType,X7 : fun(X6,nat)] : (aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(set(X6),nat,aa(fun(X6,nat),fun(set(X6),nat),groups7311177749621191930dd_sum(X6,nat),X7),X4)),aa(X6,nat,X7,X5)) = iG949(X6,X4,X5,X7) | ~member(X6,X5,X4))),
% 8.48/2.15    inference(ennf_transformation,[],[f19773])).
% 8.48/2.15  tff(f19773,plain,(
% 8.48/2.15    ! [X0 : set(X2),X1 : X2,X2 : $tType,X3 : fun(X2,nat)] : (~member(X2,X1,X0) => aa(set(X2),nat,aa(fun(X2,nat),fun(set(X2),nat),groups7311177749621191930dd_sum(X2,nat),X3),X0) = iG949(X2,X0,X1,X3)) & ! [X4 : set(X6),X5 : X6,X6 : $tType,X7 : fun(X6,nat)] : (member(X6,X5,X4) => aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(set(X6),nat,aa(fun(X6,nat),fun(set(X6),nat),groups7311177749621191930dd_sum(X6,nat),X7),X4)),aa(X6,nat,X7,X5)) = iG949(X6,X4,X5,X7))),
% 8.48/2.15    inference(flattening,[],[f19772])).
% 8.48/2.15  tff(f19772,plain,(
% 8.48/2.15    ! [X0 : set(X2),X1 : X2,X2 : $tType,X3 : fun(X2,nat)] : (~member(X2,X1,X0) => aa(set(X2),nat,aa(fun(X2,nat),fun(set(X2),nat),groups7311177749621191930dd_sum(X2,nat),X3),X0) = iG949(X2,X0,X1,X3)) & ! [X4 : set(X6),X5 : X6,X6 : $tType,X7 : fun(X6,nat)] : (member(X6,X5,X4) => aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(set(X6),nat,aa(fun(X6,nat),fun(set(X6),nat),groups7311177749621191930dd_sum(X6,nat),X7),X4)),aa(X6,nat,X7,X5)) = iG949(X6,X4,X5,X7))),
% 8.48/2.15    inference(rectify,[],[f18386])).
% 8.48/2.15  tff(f18386,plain,(
% 8.48/2.15    ! [X2 : set(X0),X3 : X0,X0 : $tType,X1 : fun(X0,nat)] : (~member(X0,X3,X2) => aa(set(X0),nat,aa(fun(X0,nat),fun(set(X0),nat),groups7311177749621191930dd_sum(X0,nat),X1),X2) = iG949(X0,X2,X3,X1)) & ! [X2 : set(X0),X3 : X0,X0 : $tType,X1 : fun(X0,nat)] : (member(X0,X3,X2) => aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(set(X0),nat,aa(fun(X0,nat),fun(set(X0),nat),groups7311177749621191930dd_sum(X0,nat),X1),X2)),aa(X0,nat,X1,X3)) = iG949(X0,X2,X3,X1))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG949])])).
% 8.48/2.15  tff(f43879,plain,(
% 8.48/2.15    ( ! [X2 : $tType,X3 : fun(X2,nat),X0 : set(X2),X1 : X2] : (aa(set(X2),nat,aa(fun(X2,nat),fun(set(X2),nat),groups7311177749621191930dd_sum(X2,nat),X3),X0) = iG949(X2,X0,X1,X3) | member(X2,X1,X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25920])).
% 8.48/2.15  tff(f43876,plain,(
% 8.48/2.15    ( ! [X0 : nat,X1 : nat] : (($true = bG950(X0,X1)) | dvd_dvd(nat,X1,X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36058])).
% 8.48/2.15  tff(f36058,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : ((~dvd_dvd(nat,X1,X0) | ($true != bG950(X0,X1))) & (($true = bG950(X0,X1)) | dvd_dvd(nat,X1,X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f19771])).
% 8.48/2.15  tff(f19771,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : (~dvd_dvd(nat,X1,X0) <=> ($true = bG950(X0,X1)))),
% 8.48/2.15    inference(rectify,[],[f18389])).
% 8.48/2.15  tff(f18389,plain,(
% 8.48/2.15    ! [X1 : nat,X3 : nat] : (~dvd_dvd(nat,X3,X1) <=> ($true = bG950(X1,X3)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG950])])).
% 8.48/2.15  tff(f43877,plain,(
% 8.48/2.15    ( ! [X0 : nat,X1 : nat] : (~dvd_dvd(nat,X1,X0) | ($true != bG950(X0,X1))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36058])).
% 8.48/2.15  tff(f43874,plain,(
% 8.48/2.15    ( ! [X6 : nat,X7 : nat,X4 : int,X5 : int] : (aa(int,int,aa(int,fun(int,int),times_times(int),aa(int,int,sgn_sgn(int),X4)),aa(nat,int,semiring_1_of_nat(int),modulo_modulo(nat,X7,X6))) = iG951(X4,X5,X6,X7) | aa(int,int,sgn_sgn(int),X4) != aa(int,int,sgn_sgn(int),X5)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25919])).
% 8.48/2.15  tff(f25919,plain,(
% 8.48/2.15    ! [X0 : int,X1 : int,X2 : nat,X3 : nat] : (aa(int,int,aa(int,fun(int,int),times_times(int),aa(int,int,sgn_sgn(int),X0)),aa(int,int,aa(int,fun(int,int),minus_minus(int),aa(nat,int,semiring_1_of_nat(int),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X2),aa($o,nat,zero_neq_one_of_bool(nat),bG950(X3,X2))))),aa(nat,int,semiring_1_of_nat(int),modulo_modulo(nat,X3,X2)))) = iG951(X0,X1,X2,X3) | aa(int,int,sgn_sgn(int),X0) = aa(int,int,sgn_sgn(int),X1)) & ! [X4 : int,X5 : int,X6 : nat,X7 : nat] : (aa(int,int,aa(int,fun(int,int),times_times(int),aa(int,int,sgn_sgn(int),X4)),aa(nat,int,semiring_1_of_nat(int),modulo_modulo(nat,X7,X6))) = iG951(X4,X5,X6,X7) | aa(int,int,sgn_sgn(int),X4) != aa(int,int,sgn_sgn(int),X5))),
% 8.48/2.15    inference(ennf_transformation,[],[f19770])).
% 8.48/2.15  tff(f19770,plain,(
% 8.48/2.15    ! [X0 : int,X1 : int,X2 : nat,X3 : nat] : (aa(int,int,sgn_sgn(int),X0) != aa(int,int,sgn_sgn(int),X1) => aa(int,int,aa(int,fun(int,int),times_times(int),aa(int,int,sgn_sgn(int),X0)),aa(int,int,aa(int,fun(int,int),minus_minus(int),aa(nat,int,semiring_1_of_nat(int),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X2),aa($o,nat,zero_neq_one_of_bool(nat),bG950(X3,X2))))),aa(nat,int,semiring_1_of_nat(int),modulo_modulo(nat,X3,X2)))) = iG951(X0,X1,X2,X3)) & ! [X4 : int,X5 : int,X6 : nat,X7 : nat] : (aa(int,int,sgn_sgn(int),X4) = aa(int,int,sgn_sgn(int),X5) => aa(int,int,aa(int,fun(int,int),times_times(int),aa(int,int,sgn_sgn(int),X4)),aa(nat,int,semiring_1_of_nat(int),modulo_modulo(nat,X7,X6))) = iG951(X4,X5,X6,X7))),
% 8.48/2.15    inference(flattening,[],[f19769])).
% 8.48/2.15  tff(f19769,plain,(
% 8.48/2.15    ! [X0 : int,X1 : int,X2 : nat,X3 : nat] : (~aa(int,int,sgn_sgn(int),X0) = aa(int,int,sgn_sgn(int),X1) => aa(int,int,aa(int,fun(int,int),times_times(int),aa(int,int,sgn_sgn(int),X0)),aa(int,int,aa(int,fun(int,int),minus_minus(int),aa(nat,int,semiring_1_of_nat(int),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X2),aa($o,nat,zero_neq_one_of_bool(nat),bG950(X3,X2))))),aa(nat,int,semiring_1_of_nat(int),modulo_modulo(nat,X3,X2)))) = iG951(X0,X1,X2,X3)) & ! [X4 : int,X5 : int,X6 : nat,X7 : nat] : (aa(int,int,sgn_sgn(int),X4) = aa(int,int,sgn_sgn(int),X5) => aa(int,int,aa(int,fun(int,int),times_times(int),aa(int,int,sgn_sgn(int),X4)),aa(nat,int,semiring_1_of_nat(int),modulo_modulo(nat,X7,X6))) = iG951(X4,X5,X6,X7))),
% 8.48/2.15    inference(rectify,[],[f18390])).
% 8.48/2.15  tff(f18390,plain,(
% 8.48/2.15    ! [X2 : int,X0 : int,X3 : nat,X1 : nat] : (~aa(int,int,sgn_sgn(int),X0) = aa(int,int,sgn_sgn(int),X2) => aa(int,int,aa(int,fun(int,int),times_times(int),aa(int,int,sgn_sgn(int),X2)),aa(int,int,aa(int,fun(int,int),minus_minus(int),aa(nat,int,semiring_1_of_nat(int),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X3),aa($o,nat,zero_neq_one_of_bool(nat),bG950(X1,X3))))),aa(nat,int,semiring_1_of_nat(int),modulo_modulo(nat,X1,X3)))) = iG951(X2,X0,X3,X1)) & ! [X2 : int,X0 : int,X3 : nat,X1 : nat] : (aa(int,int,sgn_sgn(int),X0) = aa(int,int,sgn_sgn(int),X2) => aa(int,int,aa(int,fun(int,int),times_times(int),aa(int,int,sgn_sgn(int),X2)),aa(nat,int,semiring_1_of_nat(int),modulo_modulo(nat,X1,X3))) = iG951(X2,X0,X3,X1))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG951])])).
% 8.48/2.15  tff(f43875,plain,(
% 8.48/2.15    ( ! [X2 : nat,X3 : nat,X0 : int,X1 : int] : (aa(int,int,aa(int,fun(int,int),times_times(int),aa(int,int,sgn_sgn(int),X0)),aa(int,int,aa(int,fun(int,int),minus_minus(int),aa(nat,int,semiring_1_of_nat(int),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X2),aa($o,nat,zero_neq_one_of_bool(nat),bG950(X3,X2))))),aa(nat,int,semiring_1_of_nat(int),modulo_modulo(nat,X3,X2)))) = iG951(X0,X1,X2,X3) | aa(int,int,sgn_sgn(int),X0) = aa(int,int,sgn_sgn(int),X1)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25919])).
% 8.48/2.15  tff(f43870,plain,(
% 8.48/2.15    ( ! [X6 : int,X7 : nat,X4 : nat,X5 : int] : (aa(int,int,aa(int,fun(int,int),times_times(int),aa(int,int,sgn_sgn(int),X5)),aa(nat,int,semiring_1_of_nat(int),X7)) = iG952(X4,X5,X6,X7) | zero_zero(int) != aa(int,int,sgn_sgn(int),X6)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25918])).
% 8.48/2.15  tff(f25918,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : int,X2 : int,X3 : nat] : (iG951(X2,X1,X0,X3) = iG952(X0,X1,X2,X3) | zero_zero(nat) = X0 | zero_zero(int) = aa(int,int,sgn_sgn(int),X1) | zero_zero(int) = aa(int,int,sgn_sgn(int),X2)) & ! [X4 : nat,X5 : int,X6 : int,X7 : nat] : (aa(int,int,aa(int,fun(int,int),times_times(int),aa(int,int,sgn_sgn(int),X5)),aa(nat,int,semiring_1_of_nat(int),X7)) = iG952(X4,X5,X6,X7) | (zero_zero(nat) != X4 & zero_zero(int) != aa(int,int,sgn_sgn(int),X5) & zero_zero(int) != aa(int,int,sgn_sgn(int),X6)))),
% 8.48/2.15    inference(flattening,[],[f25917])).
% 8.48/2.15  tff(f25917,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : int,X2 : int,X3 : nat] : (iG951(X2,X1,X0,X3) = iG952(X0,X1,X2,X3) | (zero_zero(nat) = X0 | zero_zero(int) = aa(int,int,sgn_sgn(int),X1) | zero_zero(int) = aa(int,int,sgn_sgn(int),X2))) & ! [X4 : nat,X5 : int,X6 : int,X7 : nat] : (aa(int,int,aa(int,fun(int,int),times_times(int),aa(int,int,sgn_sgn(int),X5)),aa(nat,int,semiring_1_of_nat(int),X7)) = iG952(X4,X5,X6,X7) | (zero_zero(nat) != X4 & zero_zero(int) != aa(int,int,sgn_sgn(int),X5) & zero_zero(int) != aa(int,int,sgn_sgn(int),X6)))),
% 8.48/2.15    inference(ennf_transformation,[],[f19768])).
% 8.48/2.15  tff(f19768,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : int,X2 : int,X3 : nat] : (~(zero_zero(nat) = X0 | zero_zero(int) = aa(int,int,sgn_sgn(int),X1) | zero_zero(int) = aa(int,int,sgn_sgn(int),X2)) => iG951(X2,X1,X0,X3) = iG952(X0,X1,X2,X3)) & ! [X4 : nat,X5 : int,X6 : int,X7 : nat] : ((zero_zero(nat) = X4 | zero_zero(int) = aa(int,int,sgn_sgn(int),X5) | zero_zero(int) = aa(int,int,sgn_sgn(int),X6)) => aa(int,int,aa(int,fun(int,int),times_times(int),aa(int,int,sgn_sgn(int),X5)),aa(nat,int,semiring_1_of_nat(int),X7)) = iG952(X4,X5,X6,X7))),
% 8.48/2.15    inference(rectify,[],[f18391])).
% 8.48/2.15  tff(f18391,plain,(
% 8.48/2.15    ! [X3 : nat,X0 : int,X2 : int,X1 : nat] : (~(zero_zero(nat) = X3 | zero_zero(int) = aa(int,int,sgn_sgn(int),X0) | zero_zero(int) = aa(int,int,sgn_sgn(int),X2)) => iG951(X2,X0,X3,X1) = iG952(X3,X0,X2,X1)) & ! [X3 : nat,X0 : int,X2 : int,X1 : nat] : ((zero_zero(nat) = X3 | zero_zero(int) = aa(int,int,sgn_sgn(int),X0) | zero_zero(int) = aa(int,int,sgn_sgn(int),X2)) => aa(int,int,aa(int,fun(int,int),times_times(int),aa(int,int,sgn_sgn(int),X0)),aa(nat,int,semiring_1_of_nat(int),X1)) = iG952(X3,X0,X2,X1))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG952])])).
% 8.48/2.15  tff(f63096,plain,(
% 8.48/2.15    ( ! [X6 : int,X7 : nat,X4 : nat,X5 : int] : (iG952(X4,X5,X6,X7) = aa(int,int,aa(int,fun(int,int),times_times(int),zero_zero(int)),aa(nat,int,semiring_1_of_nat(int),X7)) | zero_zero(int) != aa(int,int,sgn_sgn(int),X5)) )),
% 8.48/2.15    inference(inner_rewriting,[],[f43871])).
% 8.48/2.15  tff(f43871,plain,(
% 8.48/2.15    ( ! [X6 : int,X7 : nat,X4 : nat,X5 : int] : (aa(int,int,aa(int,fun(int,int),times_times(int),aa(int,int,sgn_sgn(int),X5)),aa(nat,int,semiring_1_of_nat(int),X7)) = iG952(X4,X5,X6,X7) | zero_zero(int) != aa(int,int,sgn_sgn(int),X5)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25918])).
% 8.48/2.15  tff(f61134,plain,(
% 8.48/2.15    ( ! [X6 : int,X7 : nat,X5 : int] : (aa(int,int,aa(int,fun(int,int),times_times(int),aa(int,int,sgn_sgn(int),X5)),aa(nat,int,semiring_1_of_nat(int),X7)) = iG952(zero_zero(nat),X5,X6,X7)) )),
% 8.48/2.15    inference(equality_resolution,[],[f43872])).
% 8.48/2.15  tff(f43872,plain,(
% 8.48/2.15    ( ! [X6 : int,X7 : nat,X4 : nat,X5 : int] : (aa(int,int,aa(int,fun(int,int),times_times(int),aa(int,int,sgn_sgn(int),X5)),aa(nat,int,semiring_1_of_nat(int),X7)) = iG952(X4,X5,X6,X7) | zero_zero(nat) != X4) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25918])).
% 8.48/2.15  tff(f43873,plain,(
% 8.48/2.15    ( ! [X2 : int,X3 : nat,X0 : nat,X1 : int] : (iG951(X2,X1,X0,X3) = iG952(X0,X1,X2,X3) | zero_zero(nat) = X0 | zero_zero(int) = aa(int,int,sgn_sgn(int),X1) | zero_zero(int) = aa(int,int,sgn_sgn(int),X2)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25918])).
% 8.48/2.15  tff(f43868,plain,(
% 8.48/2.15    ( ! [X0 : nat,X1 : nat] : (($true = bG953(X0,X1)) | dvd_dvd(nat,X1,X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36057])).
% 8.48/2.15  tff(f36057,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : ((~dvd_dvd(nat,X1,X0) | ($true != bG953(X0,X1))) & (($true = bG953(X0,X1)) | dvd_dvd(nat,X1,X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f19767])).
% 8.48/2.15  tff(f19767,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : (~dvd_dvd(nat,X1,X0) <=> ($true = bG953(X0,X1)))),
% 8.48/2.15    inference(rectify,[],[f18394])).
% 8.48/2.15  tff(f18394,plain,(
% 8.48/2.15    ! [X1 : nat,X3 : nat] : (~dvd_dvd(nat,X3,X1) <=> ($true = bG953(X1,X3)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG953])])).
% 8.48/2.15  tff(f43869,plain,(
% 8.48/2.15    ( ! [X0 : nat,X1 : nat] : (~dvd_dvd(nat,X1,X0) | ($true != bG953(X0,X1))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36057])).
% 8.48/2.15  tff(f43866,plain,(
% 8.48/2.15    ( ! [X6 : nat,X7 : nat,X4 : int,X5 : int] : (aa(nat,int,semiring_1_of_nat(int),divide_divide(nat,X6,X7)) = iG954(X4,X5,X6,X7) | aa(int,int,sgn_sgn(int),X4) != aa(int,int,sgn_sgn(int),X5)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25916])).
% 8.48/2.15  tff(f25916,plain,(
% 8.48/2.15    ! [X0 : int,X1 : int,X2 : nat,X3 : nat] : (aa(int,int,uminus_uminus(int),aa(nat,int,semiring_1_of_nat(int),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),divide_divide(nat,X2,X3)),aa($o,nat,zero_neq_one_of_bool(nat),bG953(X2,X3))))) = iG954(X0,X1,X2,X3) | aa(int,int,sgn_sgn(int),X0) = aa(int,int,sgn_sgn(int),X1)) & ! [X4 : int,X5 : int,X6 : nat,X7 : nat] : (aa(nat,int,semiring_1_of_nat(int),divide_divide(nat,X6,X7)) = iG954(X4,X5,X6,X7) | aa(int,int,sgn_sgn(int),X4) != aa(int,int,sgn_sgn(int),X5))),
% 8.48/2.15    inference(ennf_transformation,[],[f19766])).
% 8.48/2.15  tff(f19766,plain,(
% 8.48/2.15    ! [X0 : int,X1 : int,X2 : nat,X3 : nat] : (aa(int,int,sgn_sgn(int),X0) != aa(int,int,sgn_sgn(int),X1) => aa(int,int,uminus_uminus(int),aa(nat,int,semiring_1_of_nat(int),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),divide_divide(nat,X2,X3)),aa($o,nat,zero_neq_one_of_bool(nat),bG953(X2,X3))))) = iG954(X0,X1,X2,X3)) & ! [X4 : int,X5 : int,X6 : nat,X7 : nat] : (aa(int,int,sgn_sgn(int),X4) = aa(int,int,sgn_sgn(int),X5) => aa(nat,int,semiring_1_of_nat(int),divide_divide(nat,X6,X7)) = iG954(X4,X5,X6,X7))),
% 8.48/2.15    inference(flattening,[],[f19765])).
% 8.48/2.15  tff(f19765,plain,(
% 8.48/2.15    ! [X0 : int,X1 : int,X2 : nat,X3 : nat] : (~aa(int,int,sgn_sgn(int),X0) = aa(int,int,sgn_sgn(int),X1) => aa(int,int,uminus_uminus(int),aa(nat,int,semiring_1_of_nat(int),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),divide_divide(nat,X2,X3)),aa($o,nat,zero_neq_one_of_bool(nat),bG953(X2,X3))))) = iG954(X0,X1,X2,X3)) & ! [X4 : int,X5 : int,X6 : nat,X7 : nat] : (aa(int,int,sgn_sgn(int),X4) = aa(int,int,sgn_sgn(int),X5) => aa(nat,int,semiring_1_of_nat(int),divide_divide(nat,X6,X7)) = iG954(X4,X5,X6,X7))),
% 8.48/2.15    inference(rectify,[],[f18395])).
% 8.48/2.15  tff(f18395,plain,(
% 8.48/2.15    ! [X2 : int,X0 : int,X1 : nat,X3 : nat] : (~aa(int,int,sgn_sgn(int),X0) = aa(int,int,sgn_sgn(int),X2) => aa(int,int,uminus_uminus(int),aa(nat,int,semiring_1_of_nat(int),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),divide_divide(nat,X1,X3)),aa($o,nat,zero_neq_one_of_bool(nat),bG953(X1,X3))))) = iG954(X2,X0,X1,X3)) & ! [X2 : int,X0 : int,X1 : nat,X3 : nat] : (aa(int,int,sgn_sgn(int),X0) = aa(int,int,sgn_sgn(int),X2) => aa(nat,int,semiring_1_of_nat(int),divide_divide(nat,X1,X3)) = iG954(X2,X0,X1,X3))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG954])])).
% 8.48/2.15  tff(f43867,plain,(
% 8.48/2.15    ( ! [X2 : nat,X3 : nat,X0 : int,X1 : int] : (aa(int,int,uminus_uminus(int),aa(nat,int,semiring_1_of_nat(int),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),divide_divide(nat,X2,X3)),aa($o,nat,zero_neq_one_of_bool(nat),bG953(X2,X3))))) = iG954(X0,X1,X2,X3) | aa(int,int,sgn_sgn(int),X0) = aa(int,int,sgn_sgn(int),X1)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25916])).
% 8.48/2.15  tff(f43862,plain,(
% 8.48/2.15    ( ! [X6 : int,X7 : nat,X4 : nat,X5 : int] : (zero_zero(int) = iG955(X4,X5,X6,X7) | zero_zero(int) != aa(int,int,sgn_sgn(int),X6)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25915])).
% 8.48/2.15  tff(f25915,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : int,X2 : int,X3 : nat] : (iG954(X2,X1,X3,X0) = iG955(X0,X1,X2,X3) | zero_zero(nat) = X0 | zero_zero(int) = aa(int,int,sgn_sgn(int),X1) | zero_zero(int) = aa(int,int,sgn_sgn(int),X2)) & ! [X4 : nat,X5 : int,X6 : int,X7 : nat] : (zero_zero(int) = iG955(X4,X5,X6,X7) | (zero_zero(nat) != X4 & zero_zero(int) != aa(int,int,sgn_sgn(int),X5) & zero_zero(int) != aa(int,int,sgn_sgn(int),X6)))),
% 8.48/2.15    inference(flattening,[],[f25914])).
% 8.48/2.15  tff(f25914,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : int,X2 : int,X3 : nat] : (iG954(X2,X1,X3,X0) = iG955(X0,X1,X2,X3) | (zero_zero(nat) = X0 | zero_zero(int) = aa(int,int,sgn_sgn(int),X1) | zero_zero(int) = aa(int,int,sgn_sgn(int),X2))) & ! [X4 : nat,X5 : int,X6 : int,X7 : nat] : (zero_zero(int) = iG955(X4,X5,X6,X7) | (zero_zero(nat) != X4 & zero_zero(int) != aa(int,int,sgn_sgn(int),X5) & zero_zero(int) != aa(int,int,sgn_sgn(int),X6)))),
% 8.48/2.15    inference(ennf_transformation,[],[f19764])).
% 8.48/2.15  tff(f19764,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : int,X2 : int,X3 : nat] : (~(zero_zero(nat) = X0 | zero_zero(int) = aa(int,int,sgn_sgn(int),X1) | zero_zero(int) = aa(int,int,sgn_sgn(int),X2)) => iG954(X2,X1,X3,X0) = iG955(X0,X1,X2,X3)) & ! [X4 : nat,X5 : int,X6 : int,X7 : nat] : ((zero_zero(nat) = X4 | zero_zero(int) = aa(int,int,sgn_sgn(int),X5) | zero_zero(int) = aa(int,int,sgn_sgn(int),X6)) => zero_zero(int) = iG955(X4,X5,X6,X7))),
% 8.48/2.15    inference(rectify,[],[f18396])).
% 8.48/2.15  tff(f18396,plain,(
% 8.48/2.15    ! [X3 : nat,X0 : int,X2 : int,X1 : nat] : (~(zero_zero(nat) = X3 | zero_zero(int) = aa(int,int,sgn_sgn(int),X0) | zero_zero(int) = aa(int,int,sgn_sgn(int),X2)) => iG954(X2,X0,X1,X3) = iG955(X3,X0,X2,X1)) & ! [X3 : nat,X0 : int,X2 : int,X1 : nat] : ((zero_zero(nat) = X3 | zero_zero(int) = aa(int,int,sgn_sgn(int),X0) | zero_zero(int) = aa(int,int,sgn_sgn(int),X2)) => zero_zero(int) = iG955(X3,X0,X2,X1))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG955])])).
% 8.48/2.15  tff(f43863,plain,(
% 8.48/2.15    ( ! [X6 : int,X7 : nat,X4 : nat,X5 : int] : (zero_zero(int) = iG955(X4,X5,X6,X7) | zero_zero(int) != aa(int,int,sgn_sgn(int),X5)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25915])).
% 8.48/2.15  tff(f61133,plain,(
% 8.48/2.15    ( ! [X6 : int,X7 : nat,X5 : int] : (zero_zero(int) = iG955(zero_zero(nat),X5,X6,X7)) )),
% 8.48/2.15    inference(equality_resolution,[],[f43864])).
% 8.48/2.15  tff(f43864,plain,(
% 8.48/2.15    ( ! [X6 : int,X7 : nat,X4 : nat,X5 : int] : (zero_zero(int) = iG955(X4,X5,X6,X7) | zero_zero(nat) != X4) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25915])).
% 8.48/2.15  tff(f43865,plain,(
% 8.48/2.15    ( ! [X2 : int,X3 : nat,X0 : nat,X1 : int] : (iG954(X2,X1,X3,X0) = iG955(X0,X1,X2,X3) | zero_zero(nat) = X0 | zero_zero(int) = aa(int,int,sgn_sgn(int),X1) | zero_zero(int) = aa(int,int,sgn_sgn(int),X2)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25915])).
% 8.48/2.15  tff(f61132,plain,(
% 8.48/2.15    ( ! [X3 : int] : (aa(int,int,uminus_uminus(int),X3) = iG956(zero_zero(int),X3)) )),
% 8.48/2.15    inference(equality_resolution,[],[f43860])).
% 8.48/2.15  tff(f43860,plain,(
% 8.48/2.15    ( ! [X2 : int,X3 : int] : (aa(int,int,uminus_uminus(int),X3) = iG956(X2,X3) | zero_zero(int) != X2) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25913])).
% 8.48/2.15  tff(f25913,plain,(
% 8.48/2.15    ! [X0 : int,X1 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),aa(int,int,uminus_uminus(int),X1)),one_one(int)) = iG956(X0,X1) | zero_zero(int) = X0) & ! [X2 : int,X3 : int] : (aa(int,int,uminus_uminus(int),X3) = iG956(X2,X3) | zero_zero(int) != X2)),
% 8.48/2.15    inference(ennf_transformation,[],[f19763])).
% 8.48/2.15  tff(f19763,plain,(
% 8.48/2.15    ! [X0 : int,X1 : int] : (zero_zero(int) != X0 => aa(int,int,aa(int,fun(int,int),minus_minus(int),aa(int,int,uminus_uminus(int),X1)),one_one(int)) = iG956(X0,X1)) & ! [X2 : int,X3 : int] : (zero_zero(int) = X2 => aa(int,int,uminus_uminus(int),X3) = iG956(X2,X3))),
% 8.48/2.15    inference(flattening,[],[f19762])).
% 8.48/2.15  tff(f19762,plain,(
% 8.48/2.15    ! [X0 : int,X1 : int] : (~zero_zero(int) = X0 => aa(int,int,aa(int,fun(int,int),minus_minus(int),aa(int,int,uminus_uminus(int),X1)),one_one(int)) = iG956(X0,X1)) & ! [X2 : int,X3 : int] : (zero_zero(int) = X2 => aa(int,int,uminus_uminus(int),X3) = iG956(X2,X3))),
% 8.48/2.15    inference(rectify,[],[f18485])).
% 8.48/2.15  tff(f18485,plain,(
% 8.48/2.15    ! [X3 : int,X2 : int] : (~zero_zero(int) = X3 => aa(int,int,aa(int,fun(int,int),minus_minus(int),aa(int,int,uminus_uminus(int),X2)),one_one(int)) = iG956(X3,X2)) & ! [X3 : int,X2 : int] : (zero_zero(int) = X3 => aa(int,int,uminus_uminus(int),X2) = iG956(X3,X2))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG956])])).
% 8.48/2.15  tff(f43861,plain,(
% 8.48/2.15    ( ! [X0 : int,X1 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),aa(int,int,uminus_uminus(int),X1)),one_one(int)) = iG956(X0,X1) | zero_zero(int) = X0) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25913])).
% 8.48/2.15  tff(f61131,plain,(
% 8.48/2.15    ( ! [X3 : int] : (zero_zero(int) = iG957(zero_zero(int),X3)) )),
% 8.48/2.15    inference(equality_resolution,[],[f43858])).
% 8.48/2.15  tff(f43858,plain,(
% 8.48/2.15    ( ! [X2 : int,X3 : int] : (zero_zero(int) = iG957(X2,X3) | zero_zero(int) != X2) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25912])).
% 8.48/2.15  tff(f25912,plain,(
% 8.48/2.15    ! [X0 : int,X1 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X1),X0) = iG957(X0,X1) | zero_zero(int) = X0) & ! [X2 : int,X3 : int] : (zero_zero(int) = iG957(X2,X3) | zero_zero(int) != X2)),
% 8.48/2.15    inference(ennf_transformation,[],[f19761])).
% 8.48/2.15  tff(f19761,plain,(
% 8.48/2.15    ! [X0 : int,X1 : int] : (zero_zero(int) != X0 => aa(int,int,aa(int,fun(int,int),minus_minus(int),X1),X0) = iG957(X0,X1)) & ! [X2 : int,X3 : int] : (zero_zero(int) = X2 => zero_zero(int) = iG957(X2,X3))),
% 8.48/2.15    inference(flattening,[],[f19760])).
% 8.48/2.15  tff(f19760,plain,(
% 8.48/2.15    ! [X0 : int,X1 : int] : (~zero_zero(int) = X0 => aa(int,int,aa(int,fun(int,int),minus_minus(int),X1),X0) = iG957(X0,X1)) & ! [X2 : int,X3 : int] : (zero_zero(int) = X2 => zero_zero(int) = iG957(X2,X3))),
% 8.48/2.15    inference(rectify,[],[f18486])).
% 8.48/2.15  tff(f18486,plain,(
% 8.48/2.15    ! [X3 : int,X1 : int] : (~zero_zero(int) = X3 => aa(int,int,aa(int,fun(int,int),minus_minus(int),X1),X3) = iG957(X3,X1)) & ! [X3 : int,X1 : int] : (zero_zero(int) = X3 => zero_zero(int) = iG957(X3,X1))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG957])])).
% 8.48/2.15  tff(f43859,plain,(
% 8.48/2.15    ( ! [X0 : int,X1 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X1),X0) = iG957(X0,X1) | zero_zero(int) = X0) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25912])).
% 8.48/2.15  tff(f61130,plain,(
% 8.48/2.15    ($true = bG958($true))),
% 8.48/2.15    inference(equality_resolution,[],[f43856])).
% 8.48/2.15  tff(f43856,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG958(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36056])).
% 8.48/2.15  tff(f36056,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG958(X0))) & (($true = bG958(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f19759])).
% 8.48/2.15  tff(f19759,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG958(X0)))),
% 8.48/2.15    inference(rectify,[],[f18681])).
% 8.48/2.15  tff(f18681,plain,(
% 8.48/2.15    ! [X1 : $o] : (($true = X1) <=> ($true = bG958(X1)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG958])])).
% 8.48/2.15  tff(f43857,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG958(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36056])).
% 8.48/2.15  tff(f43855,plain,(
% 8.48/2.15    ( ! [X0 : nat,X1 : nat] : (vEBT_VEBT_high(X0,divide_divide(nat,aa(nat,nat,suc,X1),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG959(X0,X1)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f19758])).
% 8.48/2.15  tff(f19758,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : vEBT_VEBT_high(X0,divide_divide(nat,aa(nat,nat,suc,X1),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG959(X0,X1)),
% 8.48/2.15    inference(rectify,[],[f18688])).
% 8.48/2.15  tff(f18688,plain,(
% 8.48/2.15    ! [X3 : nat,X0 : nat] : vEBT_VEBT_high(X3,divide_divide(nat,aa(nat,nat,suc,X0),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG959(X3,X0)),
% 8.48/2.15    introduced(fool_let_definition,[new_symbols(definition,[lG959])])).
% 8.48/2.15  tff(f43852,plain,(
% 8.48/2.15    ( ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG959(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) | ~iG960(X3,X4,X5) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG959(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3)))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36055])).
% 8.48/2.15  tff(f36055,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~iG960(X0,X1,X2) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG959(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (((iG960(X3,X4,X5) | ~vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG959(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) & (vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG959(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) | ~iG960(X3,X4,X5))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG959(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))),
% 8.48/2.15    inference(nnf_transformation,[],[f25911])).
% 8.48/2.15  tff(f25911,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~iG960(X0,X1,X2) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG959(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : ((iG960(X3,X4,X5) <=> vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG959(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG959(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))),
% 8.48/2.15    inference(ennf_transformation,[],[f19757])).
% 8.48/2.15  tff(f19757,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG959(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => ~iG960(X0,X1,X2)) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG959(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (iG960(X3,X4,X5) <=> vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG959(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.15    inference(flattening,[],[f19756])).
% 8.48/2.15  tff(f19756,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG959(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => ~iG960(X0,X1,X2)) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG959(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (iG960(X3,X4,X5) <=> vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG959(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.15    inference(true_and_false_elimination,[],[f19755])).
% 8.48/2.15  tff(f19755,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG959(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => (iG960(X0,X1,X2) <=> $false)) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG959(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (iG960(X3,X4,X5) <=> vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG959(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.15    inference(rectify,[],[f18689])).
% 8.48/2.15  tff(f18689,plain,(
% 8.48/2.15    ! [X1 : list(vEBT_VEBT),X0 : nat,X3 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG959(X3,X0)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X1))) => (iG960(X1,X0,X3) <=> $false)) & ! [X1 : list(vEBT_VEBT),X0 : nat,X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG959(X3,X0)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X1))) => (iG960(X1,X0,X3) <=> vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X1),lG959(X3,X0)),vEBT_VEBT_low(X3,divide_divide(nat,aa(nat,nat,suc,X0),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG960])])).
% 8.48/2.15  tff(f43853,plain,(
% 8.48/2.15    ( ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (iG960(X3,X4,X5) | ~vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG959(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG959(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3)))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36055])).
% 8.48/2.15  tff(f43854,plain,(
% 8.48/2.15    ( ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (~iG960(X0,X1,X2) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG959(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36055])).
% 8.48/2.15  tff(f43847,plain,(
% 8.48/2.15    ( ! [X3 : int,X4 : int,X5 : int] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X3),X5)) | ~iG961(X3,X4,X5) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X3),zero_zero(int)))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36054])).
% 8.48/2.15  tff(f36054,plain,(
% 8.48/2.15    ! [X0 : int,X1 : int,X2 : int] : (((iG961(X0,X1,X2) | zero_zero(int) != X1) & (zero_zero(int) = X1 | ~iG961(X0,X1,X2))) | ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X0),zero_zero(int)))) & ! [X3 : int,X4 : int,X5 : int] : (((iG961(X3,X4,X5) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X5),zero_zero(int))) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X3),X5))) & ((($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X5),zero_zero(int))) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X3),X5))) | ~iG961(X3,X4,X5))) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X3),zero_zero(int))))),
% 8.48/2.15    inference(flattening,[],[f36053])).
% 8.48/2.15  tff(f36053,plain,(
% 8.48/2.15    ! [X0 : int,X1 : int,X2 : int] : (((iG961(X0,X1,X2) | zero_zero(int) != X1) & (zero_zero(int) = X1 | ~iG961(X0,X1,X2))) | ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X0),zero_zero(int)))) & ! [X3 : int,X4 : int,X5 : int] : (((iG961(X3,X4,X5) | (($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X5),zero_zero(int))) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X3),X5)))) & ((($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X5),zero_zero(int))) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X3),X5))) | ~iG961(X3,X4,X5))) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X3),zero_zero(int))))),
% 8.48/2.15    inference(nnf_transformation,[],[f25910])).
% 8.48/2.15  tff(f25910,plain,(
% 8.48/2.15    ! [X0 : int,X1 : int,X2 : int] : ((iG961(X0,X1,X2) <=> zero_zero(int) = X1) | ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X0),zero_zero(int)))) & ! [X3 : int,X4 : int,X5 : int] : ((iG961(X3,X4,X5) <=> (($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X5),zero_zero(int))) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X3),X5)))) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X3),zero_zero(int))))),
% 8.48/2.15    inference(ennf_transformation,[],[f19754])).
% 8.48/2.15  tff(f19754,plain,(
% 8.48/2.15    ! [X0 : int,X1 : int,X2 : int] : (($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X0),zero_zero(int))) => (iG961(X0,X1,X2) <=> zero_zero(int) = X1)) & ! [X3 : int,X4 : int,X5 : int] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X3),zero_zero(int))) => (iG961(X3,X4,X5) <=> (($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X5),zero_zero(int))) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X3),X5)))))),
% 8.48/2.15    inference(flattening,[],[f19753])).
% 8.48/2.15  tff(f19753,plain,(
% 8.48/2.15    ! [X0 : int,X1 : int,X2 : int] : (~($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X0),zero_zero(int))) => (iG961(X0,X1,X2) <=> zero_zero(int) = X1)) & ! [X3 : int,X4 : int,X5 : int] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X3),zero_zero(int))) => (iG961(X3,X4,X5) <=> (($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X5),zero_zero(int))) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X3),X5)))))),
% 8.48/2.15    inference(rectify,[],[f18692])).
% 8.48/2.15  tff(f18692,plain,(
% 8.48/2.15    ! [X1 : int,X2 : int,X3 : int] : (~($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X1),zero_zero(int))) => (iG961(X1,X2,X3) <=> zero_zero(int) = X2)) & ! [X1 : int,X2 : int,X3 : int] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X1),zero_zero(int))) => (iG961(X1,X2,X3) <=> (($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X3),zero_zero(int))) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X1),X3)))))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG961])])).
% 8.48/2.15  tff(f43848,plain,(
% 8.48/2.15    ( ! [X3 : int,X4 : int,X5 : int] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X5),zero_zero(int))) | ~iG961(X3,X4,X5) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X3),zero_zero(int)))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36054])).
% 8.48/2.15  tff(f43849,plain,(
% 8.48/2.15    ( ! [X3 : int,X4 : int,X5 : int] : (iG961(X3,X4,X5) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),X5),zero_zero(int))) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X3),X5)) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X3),zero_zero(int)))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36054])).
% 8.48/2.15  tff(f43850,plain,(
% 8.48/2.15    ( ! [X2 : int,X0 : int,X1 : int] : (zero_zero(int) = X1 | ~iG961(X0,X1,X2) | ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X0),zero_zero(int)))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36054])).
% 8.48/2.15  tff(f61129,plain,(
% 8.48/2.15    ( ! [X2 : int,X0 : int] : (iG961(X0,zero_zero(int),X2) | ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X0),zero_zero(int)))) )),
% 8.48/2.15    inference(equality_resolution,[],[f43851])).
% 8.48/2.15  tff(f43851,plain,(
% 8.48/2.15    ( ! [X2 : int,X0 : int,X1 : int] : (iG961(X0,X1,X2) | zero_zero(int) != X1 | ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X0),zero_zero(int)))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36054])).
% 8.48/2.15  tff(f43842,plain,(
% 8.48/2.15    ( ! [X3 : int,X4 : int,X5 : int] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X5)) | ~iG962(X3,X4,X5) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),zero_zero(int)),X3))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36052])).
% 8.48/2.15  tff(f36052,plain,(
% 8.48/2.15    ! [X0 : int,X1 : int,X2 : int] : (((iG962(X0,X1,X2) | ~iG961(X0,X1,X2)) & (iG961(X0,X1,X2) | ~iG962(X0,X1,X2))) | ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),zero_zero(int)),X0))) & ! [X3 : int,X4 : int,X5 : int] : (((iG962(X3,X4,X5) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X5),X3)) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X5))) & ((($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X5),X3)) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X5))) | ~iG962(X3,X4,X5))) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),zero_zero(int)),X3)))),
% 8.48/2.15    inference(flattening,[],[f36051])).
% 8.48/2.15  tff(f36051,plain,(
% 8.48/2.15    ! [X0 : int,X1 : int,X2 : int] : (((iG962(X0,X1,X2) | ~iG961(X0,X1,X2)) & (iG961(X0,X1,X2) | ~iG962(X0,X1,X2))) | ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),zero_zero(int)),X0))) & ! [X3 : int,X4 : int,X5 : int] : (((iG962(X3,X4,X5) | (($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X5),X3)) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X5)))) & ((($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X5),X3)) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X5))) | ~iG962(X3,X4,X5))) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),zero_zero(int)),X3)))),
% 8.48/2.15    inference(nnf_transformation,[],[f25909])).
% 8.48/2.15  tff(f25909,plain,(
% 8.48/2.15    ! [X0 : int,X1 : int,X2 : int] : ((iG962(X0,X1,X2) <=> iG961(X0,X1,X2)) | ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),zero_zero(int)),X0))) & ! [X3 : int,X4 : int,X5 : int] : ((iG962(X3,X4,X5) <=> (($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X5),X3)) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X5)))) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),zero_zero(int)),X3)))),
% 8.48/2.15    inference(ennf_transformation,[],[f19752])).
% 8.48/2.15  tff(f19752,plain,(
% 8.48/2.15    ! [X0 : int,X1 : int,X2 : int] : (($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),zero_zero(int)),X0)) => (iG962(X0,X1,X2) <=> iG961(X0,X1,X2))) & ! [X3 : int,X4 : int,X5 : int] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),zero_zero(int)),X3)) => (iG962(X3,X4,X5) <=> (($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X5),X3)) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X5)))))),
% 8.48/2.15    inference(flattening,[],[f19751])).
% 8.48/2.15  tff(f19751,plain,(
% 8.48/2.15    ! [X0 : int,X1 : int,X2 : int] : (~($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),zero_zero(int)),X0)) => (iG962(X0,X1,X2) <=> iG961(X0,X1,X2))) & ! [X3 : int,X4 : int,X5 : int] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),zero_zero(int)),X3)) => (iG962(X3,X4,X5) <=> (($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X5),X3)) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X5)))))),
% 8.48/2.15    inference(rectify,[],[f18693])).
% 8.48/2.15  tff(f18693,plain,(
% 8.48/2.15    ! [X1 : int,X2 : int,X3 : int] : (~($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),zero_zero(int)),X1)) => (iG962(X1,X2,X3) <=> iG961(X1,X2,X3))) & ! [X1 : int,X2 : int,X3 : int] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),zero_zero(int)),X1)) => (iG962(X1,X2,X3) <=> (($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X3),X1)) & ($true = aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X3)))))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG962])])).
% 8.48/2.15  tff(f43843,plain,(
% 8.48/2.15    ( ! [X3 : int,X4 : int,X5 : int] : (($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),X5),X3)) | ~iG962(X3,X4,X5) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),zero_zero(int)),X3))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36052])).
% 8.48/2.15  tff(f43844,plain,(
% 8.48/2.15    ( ! [X3 : int,X4 : int,X5 : int] : (iG962(X3,X4,X5) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),X5),X3)) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less_eq(int),zero_zero(int)),X5)) | ($true != aa(int,$o,aa(int,fun(int,$o),ord_less(int),zero_zero(int)),X3))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36052])).
% 8.48/2.15  tff(f43845,plain,(
% 8.48/2.15    ( ! [X2 : int,X0 : int,X1 : int] : (iG961(X0,X1,X2) | ~iG962(X0,X1,X2) | ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),zero_zero(int)),X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36052])).
% 8.48/2.15  tff(f43846,plain,(
% 8.48/2.15    ( ! [X2 : int,X0 : int,X1 : int] : (iG962(X0,X1,X2) | ~iG961(X0,X1,X2) | ($true = aa(int,$o,aa(int,fun(int,$o),ord_less(int),zero_zero(int)),X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36052])).
% 8.48/2.15  tff(f61128,plain,(
% 8.48/2.15    ( ! [X13 : $tType,X14 : list(X13),X15 : list(X13)] : (nil(X13) = X15 | ~iG963(X13,nil(list(X13)),X14,X15)) )),
% 8.48/2.15    inference(equality_resolution,[],[f43835])).
% 8.48/2.15  tff(f43835,plain,(
% 8.48/2.15    ( ! [X13 : $tType,X14 : list(X13),X15 : list(X13),X12 : list(list(X13))] : (nil(X13) = X15 | ~iG963(X13,X12,X14,X15) | nil(list(X13)) != X12) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36050])).
% 8.48/2.15  tff(f36050,plain,(
% 8.48/2.15    ! [X0 : list(list(X1)),X1 : $tType,X2 : list(X1),X3 : list(X1)] : (((iG963(X1,X0,X2,X3) | ! [X4 : list(list(X1)),X5 : list(X1),X6 : list(X1),X7 : list(list(X1))] : (aa(list(X1),list(X1),aa(list(X1),fun(list(X1),list(X1)),append(X1),X6),concat(X1,X7)) != X2 | aa(list(X1),list(X1),aa(list(X1),fun(list(X1),list(X1)),append(X1),concat(X1,X4)),X5) != X3 | aa(list(list(X1)),list(list(X1)),aa(list(list(X1)),fun(list(list(X1)),list(list(X1))),append(list(X1)),X4),aa(list(list(X1)),list(list(X1)),cons(list(X1),aa(list(X1),list(X1),aa(list(X1),fun(list(X1),list(X1)),append(X1),X5),X6)),X7)) != X0)) & ((aa(list(X1),list(X1),aa(list(X1),fun(list(X1),list(X1)),append(X1),sK1673(X1,X0,X2,X3)),concat(X1,sK1674(X1,X0,X2,X3))) = X2 & aa(list(X1),list(X1),aa(list(X1),fun(list(X1),list(X1)),append(X1),concat(X1,sK1671(X1,X0,X2,X3))),sK1672(X1,X0,X2,X3)) = X3 & aa(list(list(X1)),list(list(X1)),aa(list(list(X1)),fun(list(list(X1)),list(list(X1))),append(list(X1)),sK1671(X1,X0,X2,X3)),aa(list(list(X1)),list(list(X1)),cons(list(X1),aa(list(X1),list(X1),aa(list(X1),fun(list(X1),list(X1)),append(X1),sK1672(X1,X0,X2,X3)),sK1673(X1,X0,X2,X3))),sK1674(X1,X0,X2,X3))) = X0) | ~iG963(X1,X0,X2,X3))) | nil(list(X1)) = X0) & ! [X12 : list(list(X13)),X13 : $tType,X14 : list(X13),X15 : list(X13)] : (((iG963(X13,X12,X14,X15) | nil(X13) != X14 | nil(X13) != X15) & ((nil(X13) = X14 & nil(X13) = X15) | ~iG963(X13,X12,X14,X15))) | nil(list(X13)) != X12)),
% 8.48/2.15    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1671,sK1672,sK1673,sK1674])],[f36048,f36049])).
% 8.48/2.15  tff(f36049,plain,(
% 8.48/2.15    ! [X1 : $tType,X0 : list(list(X1)),X2 : list(X1),X3 : list(X1)] : (? [X8 : list(list(X1)),X9 : list(X1),X10 : list(X1),X11 : list(list(X1))] : (aa(list(X1),list(X1),aa(list(X1),fun(list(X1),list(X1)),append(X1),X10),concat(X1,X11)) = X2 & aa(list(X1),list(X1),aa(list(X1),fun(list(X1),list(X1)),append(X1),concat(X1,X8)),X9) = X3 & aa(list(list(X1)),list(list(X1)),aa(list(list(X1)),fun(list(list(X1)),list(list(X1))),append(list(X1)),X8),aa(list(list(X1)),list(list(X1)),cons(list(X1),aa(list(X1),list(X1),aa(list(X1),fun(list(X1),list(X1)),append(X1),X9),X10)),X11)) = X0) => (aa(list(X1),list(X1),aa(list(X1),fun(list(X1),list(X1)),append(X1),sK1673(X1,X0,X2,X3)),concat(X1,sK1674(X1,X0,X2,X3))) = X2 & aa(list(X1),list(X1),aa(list(X1),fun(list(X1),list(X1)),append(X1),concat(X1,sK1671(X1,X0,X2,X3))),sK1672(X1,X0,X2,X3)) = X3 & aa(list(list(X1)),list(list(X1)),aa(list(list(X1)),fun(list(list(X1)),list(list(X1))),append(list(X1)),sK1671(X1,X0,X2,X3)),aa(list(list(X1)),list(list(X1)),cons(list(X1),aa(list(X1),list(X1),aa(list(X1),fun(list(X1),list(X1)),append(X1),sK1672(X1,X0,X2,X3)),sK1673(X1,X0,X2,X3))),sK1674(X1,X0,X2,X3))) = X0))),
% 8.48/2.15    introduced(choice_axiom,[])).
% 8.48/2.15  tff(f36048,plain,(
% 8.48/2.15    ! [X0 : list(list(X1)),X1 : $tType,X2 : list(X1),X3 : list(X1)] : (((iG963(X1,X0,X2,X3) | ! [X4 : list(list(X1)),X5 : list(X1),X6 : list(X1),X7 : list(list(X1))] : (aa(list(X1),list(X1),aa(list(X1),fun(list(X1),list(X1)),append(X1),X6),concat(X1,X7)) != X2 | aa(list(X1),list(X1),aa(list(X1),fun(list(X1),list(X1)),append(X1),concat(X1,X4)),X5) != X3 | aa(list(list(X1)),list(list(X1)),aa(list(list(X1)),fun(list(list(X1)),list(list(X1))),append(list(X1)),X4),aa(list(list(X1)),list(list(X1)),cons(list(X1),aa(list(X1),list(X1),aa(list(X1),fun(list(X1),list(X1)),append(X1),X5),X6)),X7)) != X0)) & (? [X8 : list(list(X1)),X9 : list(X1),X10 : list(X1),X11 : list(list(X1))] : (aa(list(X1),list(X1),aa(list(X1),fun(list(X1),list(X1)),append(X1),X10),concat(X1,X11)) = X2 & aa(list(X1),list(X1),aa(list(X1),fun(list(X1),list(X1)),append(X1),concat(X1,X8)),X9) = X3 & aa(list(list(X1)),list(list(X1)),aa(list(list(X1)),fun(list(list(X1)),list(list(X1))),append(list(X1)),X8),aa(list(list(X1)),list(list(X1)),cons(list(X1),aa(list(X1),list(X1),aa(list(X1),fun(list(X1),list(X1)),append(X1),X9),X10)),X11)) = X0) | ~iG963(X1,X0,X2,X3))) | nil(list(X1)) = X0) & ! [X12 : list(list(X13)),X13 : $tType,X14 : list(X13),X15 : list(X13)] : (((iG963(X13,X12,X14,X15) | nil(X13) != X14 | nil(X13) != X15) & ((nil(X13) = X14 & nil(X13) = X15) | ~iG963(X13,X12,X14,X15))) | nil(list(X13)) != X12)),
% 8.48/2.15    inference(rectify,[],[f36047])).
% 8.48/2.15  tff(f36047,plain,(
% 8.48/2.15    ! [X0 : list(list(X1)),X1 : $tType,X2 : list(X1),X3 : list(X1)] : (((iG963(X1,X0,X2,X3) | ! [X4 : list(list(X1)),X5 : list(X1),X6 : list(X1),X7 : list(list(X1))] : (aa(list(X1),list(X1),aa(list(X1),fun(list(X1),list(X1)),append(X1),X6),concat(X1,X7)) != X2 | aa(list(X1),list(X1),aa(list(X1),fun(list(X1),list(X1)),append(X1),concat(X1,X4)),X5) != X3 | aa(list(list(X1)),list(list(X1)),aa(list(list(X1)),fun(list(list(X1)),list(list(X1))),append(list(X1)),X4),aa(list(list(X1)),list(list(X1)),cons(list(X1),aa(list(X1),list(X1),aa(list(X1),fun(list(X1),list(X1)),append(X1),X5),X6)),X7)) != X0)) & (? [X4 : list(list(X1)),X5 : list(X1),X6 : list(X1),X7 : list(list(X1))] : (aa(list(X1),list(X1),aa(list(X1),fun(list(X1),list(X1)),append(X1),X6),concat(X1,X7)) = X2 & aa(list(X1),list(X1),aa(list(X1),fun(list(X1),list(X1)),append(X1),concat(X1,X4)),X5) = X3 & aa(list(list(X1)),list(list(X1)),aa(list(list(X1)),fun(list(list(X1)),list(list(X1))),append(list(X1)),X4),aa(list(list(X1)),list(list(X1)),cons(list(X1),aa(list(X1),list(X1),aa(list(X1),fun(list(X1),list(X1)),append(X1),X5),X6)),X7)) = X0) | ~iG963(X1,X0,X2,X3))) | nil(list(X1)) = X0) & ! [X8 : list(list(X9)),X9 : $tType,X10 : list(X9),X11 : list(X9)] : (((iG963(X9,X8,X10,X11) | nil(X9) != X10 | nil(X9) != X11) & ((nil(X9) = X10 & nil(X9) = X11) | ~iG963(X9,X8,X10,X11))) | nil(list(X9)) != X8)),
% 8.48/2.15    inference(flattening,[],[f36046])).
% 8.48/2.15  tff(f36046,plain,(
% 8.48/2.15    ! [X0 : list(list(X1)),X1 : $tType,X2 : list(X1),X3 : list(X1)] : (((iG963(X1,X0,X2,X3) | ! [X4 : list(list(X1)),X5 : list(X1),X6 : list(X1),X7 : list(list(X1))] : (aa(list(X1),list(X1),aa(list(X1),fun(list(X1),list(X1)),append(X1),X6),concat(X1,X7)) != X2 | aa(list(X1),list(X1),aa(list(X1),fun(list(X1),list(X1)),append(X1),concat(X1,X4)),X5) != X3 | aa(list(list(X1)),list(list(X1)),aa(list(list(X1)),fun(list(list(X1)),list(list(X1))),append(list(X1)),X4),aa(list(list(X1)),list(list(X1)),cons(list(X1),aa(list(X1),list(X1),aa(list(X1),fun(list(X1),list(X1)),append(X1),X5),X6)),X7)) != X0)) & (? [X4 : list(list(X1)),X5 : list(X1),X6 : list(X1),X7 : list(list(X1))] : (aa(list(X1),list(X1),aa(list(X1),fun(list(X1),list(X1)),append(X1),X6),concat(X1,X7)) = X2 & aa(list(X1),list(X1),aa(list(X1),fun(list(X1),list(X1)),append(X1),concat(X1,X4)),X5) = X3 & aa(list(list(X1)),list(list(X1)),aa(list(list(X1)),fun(list(list(X1)),list(list(X1))),append(list(X1)),X4),aa(list(list(X1)),list(list(X1)),cons(list(X1),aa(list(X1),list(X1),aa(list(X1),fun(list(X1),list(X1)),append(X1),X5),X6)),X7)) = X0) | ~iG963(X1,X0,X2,X3))) | nil(list(X1)) = X0) & ! [X8 : list(list(X9)),X9 : $tType,X10 : list(X9),X11 : list(X9)] : (((iG963(X9,X8,X10,X11) | (nil(X9) != X10 | nil(X9) != X11)) & ((nil(X9) = X10 & nil(X9) = X11) | ~iG963(X9,X8,X10,X11))) | nil(list(X9)) != X8)),
% 8.48/2.15    inference(nnf_transformation,[],[f25908])).
% 8.48/2.15  tff(f25908,plain,(
% 8.48/2.15    ! [X0 : list(list(X1)),X1 : $tType,X2 : list(X1),X3 : list(X1)] : ((iG963(X1,X0,X2,X3) <=> ? [X4 : list(list(X1)),X5 : list(X1),X6 : list(X1),X7 : list(list(X1))] : (aa(list(X1),list(X1),aa(list(X1),fun(list(X1),list(X1)),append(X1),X6),concat(X1,X7)) = X2 & aa(list(X1),list(X1),aa(list(X1),fun(list(X1),list(X1)),append(X1),concat(X1,X4)),X5) = X3 & aa(list(list(X1)),list(list(X1)),aa(list(list(X1)),fun(list(list(X1)),list(list(X1))),append(list(X1)),X4),aa(list(list(X1)),list(list(X1)),cons(list(X1),aa(list(X1),list(X1),aa(list(X1),fun(list(X1),list(X1)),append(X1),X5),X6)),X7)) = X0)) | nil(list(X1)) = X0) & ! [X8 : list(list(X9)),X9 : $tType,X10 : list(X9),X11 : list(X9)] : ((iG963(X9,X8,X10,X11) <=> (nil(X9) = X10 & nil(X9) = X11)) | nil(list(X9)) != X8)),
% 8.48/2.15    inference(ennf_transformation,[],[f19750])).
% 8.48/2.15  tff(f19750,plain,(
% 8.48/2.15    ! [X0 : list(list(X1)),X1 : $tType,X2 : list(X1),X3 : list(X1)] : (nil(list(X1)) != X0 => (iG963(X1,X0,X2,X3) <=> ? [X4 : list(list(X1)),X5 : list(X1),X6 : list(X1),X7 : list(list(X1))] : (aa(list(X1),list(X1),aa(list(X1),fun(list(X1),list(X1)),append(X1),X6),concat(X1,X7)) = X2 & aa(list(X1),list(X1),aa(list(X1),fun(list(X1),list(X1)),append(X1),concat(X1,X4)),X5) = X3 & aa(list(list(X1)),list(list(X1)),aa(list(list(X1)),fun(list(list(X1)),list(list(X1))),append(list(X1)),X4),aa(list(list(X1)),list(list(X1)),cons(list(X1),aa(list(X1),list(X1),aa(list(X1),fun(list(X1),list(X1)),append(X1),X5),X6)),X7)) = X0))) & ! [X8 : list(list(X9)),X9 : $tType,X10 : list(X9),X11 : list(X9)] : (nil(list(X9)) = X8 => (iG963(X9,X8,X10,X11) <=> (nil(X9) = X10 & nil(X9) = X11)))),
% 8.48/2.15    inference(flattening,[],[f19749])).
% 8.48/2.15  tff(f19749,plain,(
% 8.48/2.15    ! [X0 : list(list(X1)),X1 : $tType,X2 : list(X1),X3 : list(X1)] : (~nil(list(X1)) = X0 => (iG963(X1,X0,X2,X3) <=> ? [X4 : list(list(X1)),X5 : list(X1),X6 : list(X1),X7 : list(list(X1))] : (aa(list(X1),list(X1),aa(list(X1),fun(list(X1),list(X1)),append(X1),X6),concat(X1,X7)) = X2 & aa(list(X1),list(X1),aa(list(X1),fun(list(X1),list(X1)),append(X1),concat(X1,X4)),X5) = X3 & aa(list(list(X1)),list(list(X1)),aa(list(list(X1)),fun(list(list(X1)),list(list(X1))),append(list(X1)),X4),aa(list(list(X1)),list(list(X1)),cons(list(X1),aa(list(X1),list(X1),aa(list(X1),fun(list(X1),list(X1)),append(X1),X5),X6)),X7)) = X0))) & ! [X8 : list(list(X9)),X9 : $tType,X10 : list(X9),X11 : list(X9)] : (nil(list(X9)) = X8 => (iG963(X9,X8,X10,X11) <=> (nil(X9) = X10 & nil(X9) = X11)))),
% 8.48/2.15    inference(rectify,[],[f18698])).
% 8.48/2.15  tff(f18698,plain,(
% 8.48/2.15    ! [X1 : list(list(X0)),X0 : $tType,X3 : list(X0),X2 : list(X0)] : (~nil(list(X0)) = X1 => (iG963(X0,X1,X3,X2) <=> ? [X4 : list(list(X0)),X5 : list(X0),X6 : list(X0),X7 : list(list(X0))] : (aa(list(X0),list(X0),aa(list(X0),fun(list(X0),list(X0)),append(X0),X6),concat(X0,X7)) = X3 & aa(list(X0),list(X0),aa(list(X0),fun(list(X0),list(X0)),append(X0),concat(X0,X4)),X5) = X2 & aa(list(list(X0)),list(list(X0)),aa(list(list(X0)),fun(list(list(X0)),list(list(X0))),append(list(X0)),X4),aa(list(list(X0)),list(list(X0)),cons(list(X0),aa(list(X0),list(X0),aa(list(X0),fun(list(X0),list(X0)),append(X0),X5),X6)),X7)) = X1))) & ! [X1 : list(list(X0)),X0 : $tType,X3 : list(X0),X2 : list(X0)] : (nil(list(X0)) = X1 => (iG963(X0,X1,X3,X2) <=> (nil(X0) = X3 & nil(X0) = X2)))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG963])])).
% 8.48/2.15  tff(f61127,plain,(
% 8.48/2.15    ( ! [X13 : $tType,X14 : list(X13),X15 : list(X13)] : (nil(X13) = X14 | ~iG963(X13,nil(list(X13)),X14,X15)) )),
% 8.48/2.15    inference(equality_resolution,[],[f43836])).
% 8.48/2.15  tff(f43836,plain,(
% 8.48/2.15    ( ! [X13 : $tType,X14 : list(X13),X15 : list(X13),X12 : list(list(X13))] : (nil(X13) = X14 | ~iG963(X13,X12,X14,X15) | nil(list(X13)) != X12) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36050])).
% 8.48/2.15  tff(f61126,plain,(
% 8.48/2.15    ( ! [X13 : $tType] : (iG963(X13,nil(list(X13)),nil(X13),nil(X13))) )),
% 8.48/2.15    inference(equality_resolution,[],[f61125])).
% 8.48/2.15  tff(f61125,plain,(
% 8.48/2.15    ( ! [X13 : $tType,X12 : list(list(X13))] : (iG963(X13,X12,nil(X13),nil(X13)) | nil(list(X13)) != X12) )),
% 8.48/2.15    inference(equality_resolution,[],[f61124])).
% 8.48/2.15  tff(f61124,plain,(
% 8.48/2.15    ( ! [X13 : $tType,X15 : list(X13),X12 : list(list(X13))] : (iG963(X13,X12,nil(X13),X15) | nil(X13) != X15 | nil(list(X13)) != X12) )),
% 8.48/2.15    inference(equality_resolution,[],[f43837])).
% 8.48/2.15  tff(f43837,plain,(
% 8.48/2.15    ( ! [X13 : $tType,X14 : list(X13),X15 : list(X13),X12 : list(list(X13))] : (iG963(X13,X12,X14,X15) | nil(X13) != X14 | nil(X13) != X15 | nil(list(X13)) != X12) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36050])).
% 8.48/2.15  tff(f43838,plain,(
% 8.48/2.15    ( ! [X1 : $tType,X2 : list(X1),X3 : list(X1),X0 : list(list(X1))] : (aa(list(list(X1)),list(list(X1)),aa(list(list(X1)),fun(list(list(X1)),list(list(X1))),append(list(X1)),sK1671(X1,X0,X2,X3)),aa(list(list(X1)),list(list(X1)),cons(list(X1),aa(list(X1),list(X1),aa(list(X1),fun(list(X1),list(X1)),append(X1),sK1672(X1,X0,X2,X3)),sK1673(X1,X0,X2,X3))),sK1674(X1,X0,X2,X3))) = X0 | ~iG963(X1,X0,X2,X3) | nil(list(X1)) = X0) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36050])).
% 8.48/2.15  tff(f43839,plain,(
% 8.48/2.15    ( ! [X1 : $tType,X2 : list(X1),X3 : list(X1),X0 : list(list(X1))] : (aa(list(X1),list(X1),aa(list(X1),fun(list(X1),list(X1)),append(X1),concat(X1,sK1671(X1,X0,X2,X3))),sK1672(X1,X0,X2,X3)) = X3 | ~iG963(X1,X0,X2,X3) | nil(list(X1)) = X0) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36050])).
% 8.48/2.15  tff(f43840,plain,(
% 8.48/2.15    ( ! [X1 : $tType,X2 : list(X1),X3 : list(X1),X0 : list(list(X1))] : (aa(list(X1),list(X1),aa(list(X1),fun(list(X1),list(X1)),append(X1),sK1673(X1,X0,X2,X3)),concat(X1,sK1674(X1,X0,X2,X3))) = X2 | ~iG963(X1,X0,X2,X3) | nil(list(X1)) = X0) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36050])).
% 8.48/2.15  tff(f61123,plain,(
% 8.48/2.15    ( ! [X1 : $tType,X6 : list(X1),X7 : list(list(X1)),X4 : list(list(X1)),X5 : list(X1)] : (iG963(X1,aa(list(list(X1)),list(list(X1)),aa(list(list(X1)),fun(list(list(X1)),list(list(X1))),append(list(X1)),X4),aa(list(list(X1)),list(list(X1)),cons(list(X1),aa(list(X1),list(X1),aa(list(X1),fun(list(X1),list(X1)),append(X1),X5),X6)),X7)),aa(list(X1),list(X1),aa(list(X1),fun(list(X1),list(X1)),append(X1),X6),concat(X1,X7)),aa(list(X1),list(X1),aa(list(X1),fun(list(X1),list(X1)),append(X1),concat(X1,X4)),X5)) | nil(list(X1)) = aa(list(list(X1)),list(list(X1)),aa(list(list(X1)),fun(list(list(X1)),list(list(X1))),append(list(X1)),X4),aa(list(list(X1)),list(list(X1)),cons(list(X1),aa(list(X1),list(X1),aa(list(X1),fun(list(X1),list(X1)),append(X1),X5),X6)),X7))) )),
% 8.48/2.15    inference(equality_resolution,[],[f61122])).
% 8.48/2.15  tff(f61122,plain,(
% 8.48/2.15    ( ! [X1 : $tType,X0 : list(list(X1)),X6 : list(X1),X7 : list(list(X1)),X4 : list(list(X1)),X5 : list(X1)] : (iG963(X1,X0,aa(list(X1),list(X1),aa(list(X1),fun(list(X1),list(X1)),append(X1),X6),concat(X1,X7)),aa(list(X1),list(X1),aa(list(X1),fun(list(X1),list(X1)),append(X1),concat(X1,X4)),X5)) | aa(list(list(X1)),list(list(X1)),aa(list(list(X1)),fun(list(list(X1)),list(list(X1))),append(list(X1)),X4),aa(list(list(X1)),list(list(X1)),cons(list(X1),aa(list(X1),list(X1),aa(list(X1),fun(list(X1),list(X1)),append(X1),X5),X6)),X7)) != X0 | nil(list(X1)) = X0) )),
% 8.48/2.15    inference(equality_resolution,[],[f61121])).
% 8.48/2.15  tff(f61121,plain,(
% 8.48/2.15    ( ! [X1 : $tType,X3 : list(X1),X0 : list(list(X1)),X6 : list(X1),X7 : list(list(X1)),X4 : list(list(X1)),X5 : list(X1)] : (iG963(X1,X0,aa(list(X1),list(X1),aa(list(X1),fun(list(X1),list(X1)),append(X1),X6),concat(X1,X7)),X3) | aa(list(X1),list(X1),aa(list(X1),fun(list(X1),list(X1)),append(X1),concat(X1,X4)),X5) != X3 | aa(list(list(X1)),list(list(X1)),aa(list(list(X1)),fun(list(list(X1)),list(list(X1))),append(list(X1)),X4),aa(list(list(X1)),list(list(X1)),cons(list(X1),aa(list(X1),list(X1),aa(list(X1),fun(list(X1),list(X1)),append(X1),X5),X6)),X7)) != X0 | nil(list(X1)) = X0) )),
% 8.48/2.15    inference(equality_resolution,[],[f43841])).
% 8.48/2.15  tff(f43841,plain,(
% 8.48/2.15    ( ! [X1 : $tType,X2 : list(X1),X3 : list(X1),X0 : list(list(X1)),X6 : list(X1),X7 : list(list(X1)),X4 : list(list(X1)),X5 : list(X1)] : (iG963(X1,X0,X2,X3) | aa(list(X1),list(X1),aa(list(X1),fun(list(X1),list(X1)),append(X1),X6),concat(X1,X7)) != X2 | aa(list(X1),list(X1),aa(list(X1),fun(list(X1),list(X1)),append(X1),concat(X1,X4)),X5) != X3 | aa(list(list(X1)),list(list(X1)),aa(list(list(X1)),fun(list(list(X1)),list(list(X1))),append(list(X1)),X4),aa(list(list(X1)),list(list(X1)),cons(list(X1),aa(list(X1),list(X1),aa(list(X1),fun(list(X1),list(X1)),append(X1),X5),X6)),X7)) != X0 | nil(list(X1)) = X0) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36050])).
% 8.48/2.15  tff(f61120,plain,(
% 8.48/2.15    ($true = bG964($true))),
% 8.48/2.15    inference(equality_resolution,[],[f43833])).
% 8.48/2.15  tff(f43833,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG964(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36045])).
% 8.48/2.15  tff(f36045,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG964(X0))) & (($true = bG964(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f18713])).
% 8.48/2.15  tff(f18713,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG964(X0)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG964])])).
% 8.48/2.15  tff(f43834,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG964(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36045])).
% 8.48/2.15  tff(f61119,plain,(
% 8.48/2.15    ($true = bG965($true))),
% 8.48/2.15    inference(equality_resolution,[],[f43831])).
% 8.48/2.15  tff(f43831,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG965(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36044])).
% 8.48/2.15  tff(f36044,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG965(X0))) & (($true = bG965(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f19748])).
% 8.48/2.15  tff(f19748,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG965(X0)))),
% 8.48/2.15    inference(rectify,[],[f18714])).
% 8.48/2.15  tff(f18714,plain,(
% 8.48/2.15    ! [X1 : $o] : (($true = X1) <=> ($true = bG965(X1)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG965])])).
% 8.48/2.15  tff(f43832,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG965(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36044])).
% 8.48/2.15  tff(f61118,plain,(
% 8.48/2.15    ($true = bG966($true))),
% 8.48/2.15    inference(equality_resolution,[],[f43829])).
% 8.48/2.15  tff(f43829,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG966(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36043])).
% 8.48/2.15  tff(f36043,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG966(X0))) & (($true = bG966(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f19747])).
% 8.48/2.15  tff(f19747,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG966(X0)))),
% 8.48/2.15    inference(rectify,[],[f18715])).
% 8.48/2.15  tff(f18715,plain,(
% 8.48/2.15    ! [X2 : $o] : (($true = X2) <=> ($true = bG966(X2)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG966])])).
% 8.48/2.15  tff(f43830,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG966(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36043])).
% 8.48/2.15  tff(f61117,plain,(
% 8.48/2.15    ($true = bG967($true))),
% 8.48/2.15    inference(equality_resolution,[],[f43827])).
% 8.48/2.15  tff(f43827,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG967(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36042])).
% 8.48/2.15  tff(f36042,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG967(X0))) & (($true = bG967(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f19746])).
% 8.48/2.15  tff(f19746,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG967(X0)))),
% 8.48/2.15    inference(rectify,[],[f18716])).
% 8.48/2.15  tff(f18716,plain,(
% 8.48/2.15    ! [X3 : $o] : (($true = X3) <=> ($true = bG967(X3)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG967])])).
% 8.48/2.15  tff(f43828,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG967(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36042])).
% 8.48/2.15  tff(f43825,plain,(
% 8.48/2.15    ( ! [X6 : $tType,X7 : set(X6),X4 : set(X6),X5 : X6] : ((aa(set(X6),$o,aa(set(X6),fun(set(X6),$o),ord_less(set(X6)),aa(set(X6),set(X6),aa(set(X6),fun(set(X6),set(X6)),minus_minus(set(X6)),X4),aa(set(X6),set(X6),insert(X6,X5),bot_bot(set(X6))))),X7) = iG968(X6,X4,X5,X7)) | ~member(X6,X5,X4)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25907])).
% 8.48/2.15  tff(f25907,plain,(
% 8.48/2.15    ! [X0 : set(X2),X1 : X2,X2 : $tType,X3 : set(X2)] : ((aa(set(X2),$o,aa(set(X2),fun(set(X2),$o),ord_less_eq(set(X2)),X0),X3) = iG968(X2,X0,X1,X3)) | member(X2,X1,X0)) & ! [X4 : set(X6),X5 : X6,X6 : $tType,X7 : set(X6)] : ((aa(set(X6),$o,aa(set(X6),fun(set(X6),$o),ord_less(set(X6)),aa(set(X6),set(X6),aa(set(X6),fun(set(X6),set(X6)),minus_minus(set(X6)),X4),aa(set(X6),set(X6),insert(X6,X5),bot_bot(set(X6))))),X7) = iG968(X6,X4,X5,X7)) | ~member(X6,X5,X4))),
% 8.48/2.15    inference(ennf_transformation,[],[f19745])).
% 8.48/2.15  tff(f19745,plain,(
% 8.48/2.15    ! [X0 : set(X2),X1 : X2,X2 : $tType,X3 : set(X2)] : (~member(X2,X1,X0) => (aa(set(X2),$o,aa(set(X2),fun(set(X2),$o),ord_less_eq(set(X2)),X0),X3) = iG968(X2,X0,X1,X3))) & ! [X4 : set(X6),X5 : X6,X6 : $tType,X7 : set(X6)] : (member(X6,X5,X4) => (aa(set(X6),$o,aa(set(X6),fun(set(X6),$o),ord_less(set(X6)),aa(set(X6),set(X6),aa(set(X6),fun(set(X6),set(X6)),minus_minus(set(X6)),X4),aa(set(X6),set(X6),insert(X6,X5),bot_bot(set(X6))))),X7) = iG968(X6,X4,X5,X7)))),
% 8.48/2.15    inference(flattening,[],[f19744])).
% 8.48/2.15  tff(f19744,plain,(
% 8.48/2.15    ! [X0 : set(X2),X1 : X2,X2 : $tType,X3 : set(X2)] : (~member(X2,X1,X0) => (aa(set(X2),$o,aa(set(X2),fun(set(X2),$o),ord_less_eq(set(X2)),X0),X3) = iG968(X2,X0,X1,X3))) & ! [X4 : set(X6),X5 : X6,X6 : $tType,X7 : set(X6)] : (member(X6,X5,X4) => (aa(set(X6),$o,aa(set(X6),fun(set(X6),$o),ord_less(set(X6)),aa(set(X6),set(X6),aa(set(X6),fun(set(X6),set(X6)),minus_minus(set(X6)),X4),aa(set(X6),set(X6),insert(X6,X5),bot_bot(set(X6))))),X7) = iG968(X6,X4,X5,X7)))),
% 8.48/2.15    inference(rectify,[],[f18783])).
% 8.48/2.15  tff(f18783,plain,(
% 8.48/2.15    ! [X1 : set(X0),X2 : X0,X0 : $tType,X3 : set(X0)] : (~member(X0,X2,X1) => (aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X1),X3) = iG968(X0,X1,X2,X3))) & ! [X1 : set(X0),X2 : X0,X0 : $tType,X3 : set(X0)] : (member(X0,X2,X1) => (aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less(set(X0)),aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X1),aa(set(X0),set(X0),insert(X0,X2),bot_bot(set(X0))))),X3) = iG968(X0,X1,X2,X3)))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG968])])).
% 8.48/2.15  tff(f43826,plain,(
% 8.48/2.15    ( ! [X2 : $tType,X3 : set(X2),X0 : set(X2),X1 : X2] : ((aa(set(X2),$o,aa(set(X2),fun(set(X2),$o),ord_less_eq(set(X2)),X0),X3) = iG968(X2,X0,X1,X3)) | member(X2,X1,X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25907])).
% 8.48/2.15  tff(f43823,plain,(
% 8.48/2.15    ( ! [X6 : $tType,X7 : set(X6),X4 : set(X6),X5 : X6] : ((aa(set(X6),$o,aa(set(X6),fun(set(X6),$o),ord_less(set(X6)),X7),X4) = iG969(X6,X4,X5,X7)) | ~member(X6,X5,X4)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25906])).
% 8.48/2.15  tff(f25906,plain,(
% 8.48/2.15    ! [X0 : set(X2),X1 : X2,X2 : $tType,X3 : set(X2)] : ((iG968(X2,X3,X1,X0) = iG969(X2,X0,X1,X3)) | member(X2,X1,X0)) & ! [X4 : set(X6),X5 : X6,X6 : $tType,X7 : set(X6)] : ((aa(set(X6),$o,aa(set(X6),fun(set(X6),$o),ord_less(set(X6)),X7),X4) = iG969(X6,X4,X5,X7)) | ~member(X6,X5,X4))),
% 8.48/2.15    inference(ennf_transformation,[],[f19743])).
% 8.48/2.15  tff(f19743,plain,(
% 8.48/2.15    ! [X0 : set(X2),X1 : X2,X2 : $tType,X3 : set(X2)] : (~member(X2,X1,X0) => (iG968(X2,X3,X1,X0) = iG969(X2,X0,X1,X3))) & ! [X4 : set(X6),X5 : X6,X6 : $tType,X7 : set(X6)] : (member(X6,X5,X4) => (aa(set(X6),$o,aa(set(X6),fun(set(X6),$o),ord_less(set(X6)),X7),X4) = iG969(X6,X4,X5,X7)))),
% 8.48/2.15    inference(flattening,[],[f19742])).
% 8.48/2.15  tff(f19742,plain,(
% 8.48/2.15    ! [X0 : set(X2),X1 : X2,X2 : $tType,X3 : set(X2)] : (~member(X2,X1,X0) => (iG968(X2,X3,X1,X0) = iG969(X2,X0,X1,X3))) & ! [X4 : set(X6),X5 : X6,X6 : $tType,X7 : set(X6)] : (member(X6,X5,X4) => (aa(set(X6),$o,aa(set(X6),fun(set(X6),$o),ord_less(set(X6)),X7),X4) = iG969(X6,X4,X5,X7)))),
% 8.48/2.15    inference(rectify,[],[f18784])).
% 8.48/2.15  tff(f18784,plain,(
% 8.48/2.15    ! [X3 : set(X0),X2 : X0,X0 : $tType,X1 : set(X0)] : (~member(X0,X2,X3) => (iG968(X0,X1,X2,X3) = iG969(X0,X3,X2,X1))) & ! [X3 : set(X0),X2 : X0,X0 : $tType,X1 : set(X0)] : (member(X0,X2,X3) => (aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less(set(X0)),X1),X3) = iG969(X0,X3,X2,X1)))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG969])])).
% 8.48/2.15  tff(f43824,plain,(
% 8.48/2.15    ( ! [X2 : $tType,X3 : set(X2),X0 : set(X2),X1 : X2] : ((iG968(X2,X3,X1,X0) = iG969(X2,X0,X1,X3)) | member(X2,X1,X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25906])).
% 8.48/2.15  tff(f43821,plain,(
% 8.48/2.15    ( ! [X6 : $tType,X7 : set(X6),X4 : set(X6),X5 : X6] : ((aa(set(X6),$o,aa(set(X6),fun(set(X6),$o),ord_less_eq(set(X6)),aa(set(X6),set(X6),aa(set(X6),fun(set(X6),set(X6)),minus_minus(set(X6)),X4),aa(set(X6),set(X6),insert(X6,X5),bot_bot(set(X6))))),X7) = iG970(X6,X4,X5,X7)) | ~member(X6,X5,X4)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25905])).
% 8.48/2.15  tff(f25905,plain,(
% 8.48/2.15    ! [X0 : set(X2),X1 : X2,X2 : $tType,X3 : set(X2)] : ((aa(set(X2),$o,aa(set(X2),fun(set(X2),$o),ord_less_eq(set(X2)),X0),X3) = iG970(X2,X0,X1,X3)) | member(X2,X1,X0)) & ! [X4 : set(X6),X5 : X6,X6 : $tType,X7 : set(X6)] : ((aa(set(X6),$o,aa(set(X6),fun(set(X6),$o),ord_less_eq(set(X6)),aa(set(X6),set(X6),aa(set(X6),fun(set(X6),set(X6)),minus_minus(set(X6)),X4),aa(set(X6),set(X6),insert(X6,X5),bot_bot(set(X6))))),X7) = iG970(X6,X4,X5,X7)) | ~member(X6,X5,X4))),
% 8.48/2.15    inference(ennf_transformation,[],[f19741])).
% 8.48/2.15  tff(f19741,plain,(
% 8.48/2.15    ! [X0 : set(X2),X1 : X2,X2 : $tType,X3 : set(X2)] : (~member(X2,X1,X0) => (aa(set(X2),$o,aa(set(X2),fun(set(X2),$o),ord_less_eq(set(X2)),X0),X3) = iG970(X2,X0,X1,X3))) & ! [X4 : set(X6),X5 : X6,X6 : $tType,X7 : set(X6)] : (member(X6,X5,X4) => (aa(set(X6),$o,aa(set(X6),fun(set(X6),$o),ord_less_eq(set(X6)),aa(set(X6),set(X6),aa(set(X6),fun(set(X6),set(X6)),minus_minus(set(X6)),X4),aa(set(X6),set(X6),insert(X6,X5),bot_bot(set(X6))))),X7) = iG970(X6,X4,X5,X7)))),
% 8.48/2.15    inference(flattening,[],[f19740])).
% 8.48/2.15  tff(f19740,plain,(
% 8.48/2.15    ! [X0 : set(X2),X1 : X2,X2 : $tType,X3 : set(X2)] : (~member(X2,X1,X0) => (aa(set(X2),$o,aa(set(X2),fun(set(X2),$o),ord_less_eq(set(X2)),X0),X3) = iG970(X2,X0,X1,X3))) & ! [X4 : set(X6),X5 : X6,X6 : $tType,X7 : set(X6)] : (member(X6,X5,X4) => (aa(set(X6),$o,aa(set(X6),fun(set(X6),$o),ord_less_eq(set(X6)),aa(set(X6),set(X6),aa(set(X6),fun(set(X6),set(X6)),minus_minus(set(X6)),X4),aa(set(X6),set(X6),insert(X6,X5),bot_bot(set(X6))))),X7) = iG970(X6,X4,X5,X7)))),
% 8.48/2.15    inference(rectify,[],[f18787])).
% 8.48/2.15  tff(f18787,plain,(
% 8.48/2.15    ! [X1 : set(X0),X2 : X0,X0 : $tType,X3 : set(X0)] : (~member(X0,X2,X1) => (aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),X1),X3) = iG970(X0,X1,X2,X3))) & ! [X1 : set(X0),X2 : X0,X0 : $tType,X3 : set(X0)] : (member(X0,X2,X1) => (aa(set(X0),$o,aa(set(X0),fun(set(X0),$o),ord_less_eq(set(X0)),aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X1),aa(set(X0),set(X0),insert(X0,X2),bot_bot(set(X0))))),X3) = iG970(X0,X1,X2,X3)))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG970])])).
% 8.48/2.15  tff(f43822,plain,(
% 8.48/2.15    ( ! [X2 : $tType,X3 : set(X2),X0 : set(X2),X1 : X2] : ((aa(set(X2),$o,aa(set(X2),fun(set(X2),$o),ord_less_eq(set(X2)),X0),X3) = iG970(X2,X0,X1,X3)) | member(X2,X1,X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25905])).
% 8.48/2.15  tff(f43819,plain,(
% 8.48/2.15    ( ! [X5 : $tType,X8 : X5,X6 : nat,X9 : fun(nat,fun(X5,X5)),X7 : nat] : (iG971(X5,X6,X7,X8,X9) = X8 | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X7),X6))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25904])).
% 8.48/2.15  tff(f25904,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : X0,X4 : fun(nat,fun(X0,X0))] : (set_fo6178422350223883121st_nat(X0,X4,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X1),one_one(nat)),X2,aa(X0,X0,aa(nat,fun(X0,X0),X4,X1),X3)) = iG971(X0,X1,X2,X3,X4) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1))) & ! [X5 : $tType,X6 : nat,X7 : nat,X8 : X5,X9 : fun(nat,fun(X5,X5))] : (iG971(X5,X6,X7,X8,X9) = X8 | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X7),X6)))),
% 8.48/2.15    inference(ennf_transformation,[],[f19739])).
% 8.48/2.15  tff(f19739,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : X0,X4 : fun(nat,fun(X0,X0))] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1)) => set_fo6178422350223883121st_nat(X0,X4,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X1),one_one(nat)),X2,aa(X0,X0,aa(nat,fun(X0,X0),X4,X1),X3)) = iG971(X0,X1,X2,X3,X4)) & ! [X5 : $tType,X6 : nat,X7 : nat,X8 : X5,X9 : fun(nat,fun(X5,X5))] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X7),X6)) => iG971(X5,X6,X7,X8,X9) = X8)),
% 8.48/2.15    inference(flattening,[],[f19738])).
% 8.48/2.15  tff(f19738,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : X0,X4 : fun(nat,fun(X0,X0))] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1)) => set_fo6178422350223883121st_nat(X0,X4,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X1),one_one(nat)),X2,aa(X0,X0,aa(nat,fun(X0,X0),X4,X1),X3)) = iG971(X0,X1,X2,X3,X4)) & ! [X5 : $tType,X6 : nat,X7 : nat,X8 : X5,X9 : fun(nat,fun(X5,X5))] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X7),X6)) => iG971(X5,X6,X7,X8,X9) = X8)),
% 8.48/2.15    inference(rectify,[],[f18844])).
% 8.48/2.15  tff(f18844,plain,(
% 8.48/2.15    ! [X0 : $tType,X2 : nat,X3 : nat,X4 : X0,X1 : fun(nat,fun(X0,X0))] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)) => set_fo6178422350223883121st_nat(X0,X1,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X2),one_one(nat)),X3,aa(X0,X0,aa(nat,fun(X0,X0),X1,X2),X4)) = iG971(X0,X2,X3,X4,X1)) & ! [X0 : $tType,X2 : nat,X3 : nat,X4 : X0,X1 : fun(nat,fun(X0,X0))] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)) => iG971(X0,X2,X3,X4,X1) = X4)),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG971])])).
% 8.48/2.15  tff(f43820,plain,(
% 8.48/2.15    ( ! [X0 : $tType,X2 : nat,X3 : X0,X1 : nat,X4 : fun(nat,fun(X0,X0))] : (set_fo6178422350223883121st_nat(X0,X4,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X1),one_one(nat)),X2,aa(X0,X0,aa(nat,fun(X0,X0),X4,X1),X3)) = iG971(X0,X1,X2,X3,X4) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25904])).
% 8.48/2.15  tff(f61116,plain,(
% 8.48/2.15    ( ! [X5 : $tType,X7 : $tType,X8 : fun(X7,X5),X9 : X5] : (iG972(X5,X7,none(X7),X8,X9) = X9) )),
% 8.48/2.15    inference(equality_resolution,[],[f43817])).
% 8.48/2.15  tff(f43817,plain,(
% 8.48/2.15    ( ! [X5 : $tType,X7 : $tType,X8 : fun(X7,X5),X6 : option(X7),X9 : X5] : (iG972(X5,X7,X6,X8,X9) = X9 | none(X7) != X6) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25903])).
% 8.48/2.15  tff(f25903,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : option(X2),X2 : $tType,X3 : fun(X2,X0),X4 : X0] : (aa(X2,X0,X3,aa(option(X2),X2,the2(X2),X1)) = iG972(X0,X2,X1,X3,X4) | none(X2) = X1) & ! [X5 : $tType,X6 : option(X7),X7 : $tType,X8 : fun(X7,X5),X9 : X5] : (iG972(X5,X7,X6,X8,X9) = X9 | none(X7) != X6)),
% 8.48/2.15    inference(ennf_transformation,[],[f19737])).
% 8.48/2.15  tff(f19737,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : option(X2),X2 : $tType,X3 : fun(X2,X0),X4 : X0] : (none(X2) != X1 => aa(X2,X0,X3,aa(option(X2),X2,the2(X2),X1)) = iG972(X0,X2,X1,X3,X4)) & ! [X5 : $tType,X6 : option(X7),X7 : $tType,X8 : fun(X7,X5),X9 : X5] : (none(X7) = X6 => iG972(X5,X7,X6,X8,X9) = X9)),
% 8.48/2.15    inference(flattening,[],[f19736])).
% 8.48/2.15  tff(f19736,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : option(X2),X2 : $tType,X3 : fun(X2,X0),X4 : X0] : (~none(X2) = X1 => aa(X2,X0,X3,aa(option(X2),X2,the2(X2),X1)) = iG972(X0,X2,X1,X3,X4)) & ! [X5 : $tType,X6 : option(X7),X7 : $tType,X8 : fun(X7,X5),X9 : X5] : (none(X7) = X6 => iG972(X5,X7,X6,X8,X9) = X9)),
% 8.48/2.15    inference(rectify,[],[f18847])).
% 8.48/2.15  tff(f18847,plain,(
% 8.48/2.15    ! [X0 : $tType,X4 : option(X1),X1 : $tType,X3 : fun(X1,X0),X2 : X0] : (~none(X1) = X4 => aa(X1,X0,X3,aa(option(X1),X1,the2(X1),X4)) = iG972(X0,X1,X4,X3,X2)) & ! [X0 : $tType,X4 : option(X1),X1 : $tType,X3 : fun(X1,X0),X2 : X0] : (none(X1) = X4 => iG972(X0,X1,X4,X3,X2) = X2)),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG972])])).
% 8.48/2.15  tff(f43818,plain,(
% 8.48/2.15    ( ! [X0 : $tType,X2 : $tType,X3 : fun(X2,X0),X1 : option(X2),X4 : X0] : (aa(X2,X0,X3,aa(option(X2),X2,the2(X2),X1)) = iG972(X0,X2,X1,X3,X4) | none(X2) = X1) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25903])).
% 8.48/2.15  tff(f61115,plain,(
% 8.48/2.15    ( ! [X5 : $tType,X7 : $tType,X8 : fun(X7,fun(list(X7),X5)),X9 : X5] : (iG973(X5,X7,nil(X7),X8,X9) = X9) )),
% 8.48/2.15    inference(equality_resolution,[],[f43815])).
% 8.48/2.15  tff(f43815,plain,(
% 8.48/2.15    ( ! [X5 : $tType,X7 : $tType,X8 : fun(X7,fun(list(X7),X5)),X6 : list(X7),X9 : X5] : (iG973(X5,X7,X6,X8,X9) = X9 | nil(X7) != X6) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25902])).
% 8.48/2.15  tff(f25902,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : list(X2),X2 : $tType,X3 : fun(X2,fun(list(X2),X0)),X4 : X0] : (aa(list(X2),X0,aa(X2,fun(list(X2),X0),X3,aa(list(X2),X2,hd(X2),X1)),aa(list(X2),list(X2),tl(X2),X1)) = iG973(X0,X2,X1,X3,X4) | nil(X2) = X1) & ! [X5 : $tType,X6 : list(X7),X7 : $tType,X8 : fun(X7,fun(list(X7),X5)),X9 : X5] : (iG973(X5,X7,X6,X8,X9) = X9 | nil(X7) != X6)),
% 8.48/2.15    inference(ennf_transformation,[],[f19735])).
% 8.48/2.15  tff(f19735,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : list(X2),X2 : $tType,X3 : fun(X2,fun(list(X2),X0)),X4 : X0] : (nil(X2) != X1 => aa(list(X2),X0,aa(X2,fun(list(X2),X0),X3,aa(list(X2),X2,hd(X2),X1)),aa(list(X2),list(X2),tl(X2),X1)) = iG973(X0,X2,X1,X3,X4)) & ! [X5 : $tType,X6 : list(X7),X7 : $tType,X8 : fun(X7,fun(list(X7),X5)),X9 : X5] : (nil(X7) = X6 => iG973(X5,X7,X6,X8,X9) = X9)),
% 8.48/2.15    inference(flattening,[],[f19734])).
% 8.48/2.15  tff(f19734,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : list(X2),X2 : $tType,X3 : fun(X2,fun(list(X2),X0)),X4 : X0] : (~nil(X2) = X1 => aa(list(X2),X0,aa(X2,fun(list(X2),X0),X3,aa(list(X2),X2,hd(X2),X1)),aa(list(X2),list(X2),tl(X2),X1)) = iG973(X0,X2,X1,X3,X4)) & ! [X5 : $tType,X6 : list(X7),X7 : $tType,X8 : fun(X7,fun(list(X7),X5)),X9 : X5] : (nil(X7) = X6 => iG973(X5,X7,X6,X8,X9) = X9)),
% 8.48/2.15    inference(rectify,[],[f18850])).
% 8.48/2.15  tff(f18850,plain,(
% 8.48/2.15    ! [X0 : $tType,X4 : list(X1),X1 : $tType,X3 : fun(X1,fun(list(X1),X0)),X2 : X0] : (~nil(X1) = X4 => aa(list(X1),X0,aa(X1,fun(list(X1),X0),X3,aa(list(X1),X1,hd(X1),X4)),aa(list(X1),list(X1),tl(X1),X4)) = iG973(X0,X1,X4,X3,X2)) & ! [X0 : $tType,X4 : list(X1),X1 : $tType,X3 : fun(X1,fun(list(X1),X0)),X2 : X0] : (nil(X1) = X4 => iG973(X0,X1,X4,X3,X2) = X2)),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG973])])).
% 8.48/2.15  tff(f43816,plain,(
% 8.48/2.15    ( ! [X0 : $tType,X2 : $tType,X3 : fun(X2,fun(list(X2),X0)),X1 : list(X2),X4 : X0] : (aa(list(X2),X0,aa(X2,fun(list(X2),X0),X3,aa(list(X2),X2,hd(X2),X1)),aa(list(X2),list(X2),tl(X2),X1)) = iG973(X0,X2,X1,X3,X4) | nil(X2) = X1) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25902])).
% 8.48/2.15  tff(f43813,plain,(
% 8.48/2.15    ( ! [X5 : $tType,X6 : $tType,X8 : X6,X9 : fun(X6,option(X5)),X7 : set(X6)] : (restrict_map(X6,X5,X9,aa(set(X6),set(X6),aa(set(X6),fun(set(X6),set(X6)),minus_minus(set(X6)),X7),aa(set(X6),set(X6),insert(X6,X8),bot_bot(set(X6))))) = iG974(X5,X6,X7,X8,X9) | ~member(X6,X8,X7)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25901])).
% 8.48/2.15  tff(f25901,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : $tType,X2 : set(X1),X3 : X1,X4 : fun(X1,option(X0))] : (restrict_map(X1,X0,X4,X2) = iG974(X0,X1,X2,X3,X4) | member(X1,X3,X2)) & ! [X5 : $tType,X6 : $tType,X7 : set(X6),X8 : X6,X9 : fun(X6,option(X5))] : (restrict_map(X6,X5,X9,aa(set(X6),set(X6),aa(set(X6),fun(set(X6),set(X6)),minus_minus(set(X6)),X7),aa(set(X6),set(X6),insert(X6,X8),bot_bot(set(X6))))) = iG974(X5,X6,X7,X8,X9) | ~member(X6,X8,X7))),
% 8.48/2.15    inference(ennf_transformation,[],[f19733])).
% 8.48/2.15  tff(f19733,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : $tType,X2 : set(X1),X3 : X1,X4 : fun(X1,option(X0))] : (~member(X1,X3,X2) => restrict_map(X1,X0,X4,X2) = iG974(X0,X1,X2,X3,X4)) & ! [X5 : $tType,X6 : $tType,X7 : set(X6),X8 : X6,X9 : fun(X6,option(X5))] : (member(X6,X8,X7) => restrict_map(X6,X5,X9,aa(set(X6),set(X6),aa(set(X6),fun(set(X6),set(X6)),minus_minus(set(X6)),X7),aa(set(X6),set(X6),insert(X6,X8),bot_bot(set(X6))))) = iG974(X5,X6,X7,X8,X9))),
% 8.48/2.15    inference(flattening,[],[f19732])).
% 8.48/2.15  tff(f19732,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : $tType,X2 : set(X1),X3 : X1,X4 : fun(X1,option(X0))] : (~member(X1,X3,X2) => restrict_map(X1,X0,X4,X2) = iG974(X0,X1,X2,X3,X4)) & ! [X5 : $tType,X6 : $tType,X7 : set(X6),X8 : X6,X9 : fun(X6,option(X5))] : (member(X6,X8,X7) => restrict_map(X6,X5,X9,aa(set(X6),set(X6),aa(set(X6),fun(set(X6),set(X6)),minus_minus(set(X6)),X7),aa(set(X6),set(X6),insert(X6,X8),bot_bot(set(X6))))) = iG974(X5,X6,X7,X8,X9))),
% 8.48/2.15    inference(rectify,[],[f18853])).
% 8.48/2.15  tff(f18853,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : $tType,X3 : set(X1),X4 : X1,X2 : fun(X1,option(X0))] : (~member(X1,X4,X3) => restrict_map(X1,X0,X2,X3) = iG974(X0,X1,X3,X4,X2)) & ! [X0 : $tType,X1 : $tType,X3 : set(X1),X4 : X1,X2 : fun(X1,option(X0))] : (member(X1,X4,X3) => restrict_map(X1,X0,X2,aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),minus_minus(set(X1)),X3),aa(set(X1),set(X1),insert(X1,X4),bot_bot(set(X1))))) = iG974(X0,X1,X3,X4,X2))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG974])])).
% 8.48/2.15  tff(f43814,plain,(
% 8.48/2.15    ( ! [X1 : $tType,X0 : $tType,X2 : set(X1),X3 : X1,X4 : fun(X1,option(X0))] : (restrict_map(X1,X0,X4,X2) = iG974(X0,X1,X2,X3,X4) | member(X1,X3,X2)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25901])).
% 8.48/2.15  tff(f43812,plain,(
% 8.48/2.15    ( ! [X0 : num] : (pred_numeral(X0) = lG975(X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f19731])).
% 8.48/2.15  tff(f19731,plain,(
% 8.48/2.15    ! [X0 : num] : pred_numeral(X0) = lG975(X0)),
% 8.48/2.15    inference(rectify,[],[f18856])).
% 8.48/2.15  tff(f18856,plain,(
% 8.48/2.15    ! [X3 : num] : pred_numeral(X3) = lG975(X3)),
% 8.48/2.15    introduced(fool_let_definition,[new_symbols(definition,[lG975])])).
% 8.48/2.15  tff(f43810,plain,(
% 8.48/2.15    ( ! [X5 : $tType,X8 : X5,X6 : list(X5),X9 : list(X5),X7 : nat] : (aa(list(X5),list(X5),aa(list(X5),fun(list(X5),list(X5)),append(X5),list_update(X5,X6,X7,X8)),X9) = iG976(X5,X6,X7,X8,X9) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X7),aa(list(X5),nat,size_size(list(X5)),X6)))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25900])).
% 8.48/2.15  tff(f25900,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : list(X0),X2 : nat,X3 : X0,X4 : list(X0)] : (aa(list(X0),list(X0),aa(list(X0),fun(list(X0),list(X0)),append(X0),X1),list_update(X0,X4,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X2),aa(list(X0),nat,size_size(list(X0)),X1)),X3)) = iG976(X0,X1,X2,X3,X4) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),aa(list(X0),nat,size_size(list(X0)),X1)))) & ! [X5 : $tType,X6 : list(X5),X7 : nat,X8 : X5,X9 : list(X5)] : (aa(list(X5),list(X5),aa(list(X5),fun(list(X5),list(X5)),append(X5),list_update(X5,X6,X7,X8)),X9) = iG976(X5,X6,X7,X8,X9) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X7),aa(list(X5),nat,size_size(list(X5)),X6))))),
% 8.48/2.15    inference(ennf_transformation,[],[f19730])).
% 8.48/2.15  tff(f19730,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : list(X0),X2 : nat,X3 : X0,X4 : list(X0)] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),aa(list(X0),nat,size_size(list(X0)),X1))) => aa(list(X0),list(X0),aa(list(X0),fun(list(X0),list(X0)),append(X0),X1),list_update(X0,X4,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X2),aa(list(X0),nat,size_size(list(X0)),X1)),X3)) = iG976(X0,X1,X2,X3,X4)) & ! [X5 : $tType,X6 : list(X5),X7 : nat,X8 : X5,X9 : list(X5)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X7),aa(list(X5),nat,size_size(list(X5)),X6))) => aa(list(X5),list(X5),aa(list(X5),fun(list(X5),list(X5)),append(X5),list_update(X5,X6,X7,X8)),X9) = iG976(X5,X6,X7,X8,X9))),
% 8.48/2.15    inference(flattening,[],[f19729])).
% 8.48/2.15  tff(f19729,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : list(X0),X2 : nat,X3 : X0,X4 : list(X0)] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),aa(list(X0),nat,size_size(list(X0)),X1))) => aa(list(X0),list(X0),aa(list(X0),fun(list(X0),list(X0)),append(X0),X1),list_update(X0,X4,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X2),aa(list(X0),nat,size_size(list(X0)),X1)),X3)) = iG976(X0,X1,X2,X3,X4)) & ! [X5 : $tType,X6 : list(X5),X7 : nat,X8 : X5,X9 : list(X5)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X7),aa(list(X5),nat,size_size(list(X5)),X6))) => aa(list(X5),list(X5),aa(list(X5),fun(list(X5),list(X5)),append(X5),list_update(X5,X6,X7,X8)),X9) = iG976(X5,X6,X7,X8,X9))),
% 8.48/2.15    inference(rectify,[],[f18859])).
% 8.48/2.15  tff(f18859,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : list(X0),X3 : nat,X4 : X0,X2 : list(X0)] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),aa(list(X0),nat,size_size(list(X0)),X1))) => aa(list(X0),list(X0),aa(list(X0),fun(list(X0),list(X0)),append(X0),X1),list_update(X0,X2,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),aa(list(X0),nat,size_size(list(X0)),X1)),X4)) = iG976(X0,X1,X3,X4,X2)) & ! [X0 : $tType,X1 : list(X0),X3 : nat,X4 : X0,X2 : list(X0)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),aa(list(X0),nat,size_size(list(X0)),X1))) => aa(list(X0),list(X0),aa(list(X0),fun(list(X0),list(X0)),append(X0),list_update(X0,X1,X3,X4)),X2) = iG976(X0,X1,X3,X4,X2))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG976])])).
% 8.48/2.15  tff(f43811,plain,(
% 8.48/2.15    ( ! [X0 : $tType,X2 : nat,X3 : X0,X1 : list(X0),X4 : list(X0)] : (aa(list(X0),list(X0),aa(list(X0),fun(list(X0),list(X0)),append(X0),X1),list_update(X0,X4,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X2),aa(list(X0),nat,size_size(list(X0)),X1)),X3)) = iG976(X0,X1,X2,X3,X4) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),aa(list(X0),nat,size_size(list(X0)),X1)))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25900])).
% 8.48/2.15  tff(f43808,plain,(
% 8.48/2.15    ( ! [X5 : $tType,X6 : $tType,X8 : $tType,X9 : product_prod(X6,X8),X7 : product_prod(X8,X5)] : (aa(list(product_prod(X6,X5)),list(product_prod(X6,X5)),cons(product_prod(X6,X5),aa(X5,product_prod(X6,X5),aa(X6,fun(X5,product_prod(X6,X5)),product_Pair(X6,X5),aa(product_prod(X6,X8),X6,product_fst(X6,X8),X9)),aa(product_prod(X8,X5),X5,product_snd(X8,X5),X7))),nil(product_prod(X6,X5))) = iG977(X5,X6,X8,X7,X9) | aa(product_prod(X6,X8),X8,product_snd(X6,X8),X9) != aa(product_prod(X8,X5),X8,product_fst(X8,X5),X7)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25899])).
% 8.48/2.15  tff(f25899,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : $tType,X2 : product_prod(X3,X0),X3 : $tType,X4 : product_prod(X1,X3)] : (nil(product_prod(X1,X0)) = iG977(X0,X1,X3,X2,X4) | aa(product_prod(X1,X3),X3,product_snd(X1,X3),X4) = aa(product_prod(X3,X0),X3,product_fst(X3,X0),X2)) & ! [X5 : $tType,X6 : $tType,X7 : product_prod(X8,X5),X8 : $tType,X9 : product_prod(X6,X8)] : (aa(list(product_prod(X6,X5)),list(product_prod(X6,X5)),cons(product_prod(X6,X5),aa(X5,product_prod(X6,X5),aa(X6,fun(X5,product_prod(X6,X5)),product_Pair(X6,X5),aa(product_prod(X6,X8),X6,product_fst(X6,X8),X9)),aa(product_prod(X8,X5),X5,product_snd(X8,X5),X7))),nil(product_prod(X6,X5))) = iG977(X5,X6,X8,X7,X9) | aa(product_prod(X6,X8),X8,product_snd(X6,X8),X9) != aa(product_prod(X8,X5),X8,product_fst(X8,X5),X7))),
% 8.48/2.15    inference(ennf_transformation,[],[f19728])).
% 8.48/2.15  tff(f19728,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : $tType,X2 : product_prod(X3,X0),X3 : $tType,X4 : product_prod(X1,X3)] : (aa(product_prod(X1,X3),X3,product_snd(X1,X3),X4) != aa(product_prod(X3,X0),X3,product_fst(X3,X0),X2) => nil(product_prod(X1,X0)) = iG977(X0,X1,X3,X2,X4)) & ! [X5 : $tType,X6 : $tType,X7 : product_prod(X8,X5),X8 : $tType,X9 : product_prod(X6,X8)] : (aa(product_prod(X6,X8),X8,product_snd(X6,X8),X9) = aa(product_prod(X8,X5),X8,product_fst(X8,X5),X7) => aa(list(product_prod(X6,X5)),list(product_prod(X6,X5)),cons(product_prod(X6,X5),aa(X5,product_prod(X6,X5),aa(X6,fun(X5,product_prod(X6,X5)),product_Pair(X6,X5),aa(product_prod(X6,X8),X6,product_fst(X6,X8),X9)),aa(product_prod(X8,X5),X5,product_snd(X8,X5),X7))),nil(product_prod(X6,X5))) = iG977(X5,X6,X8,X7,X9))),
% 8.48/2.15    inference(flattening,[],[f19727])).
% 8.48/2.15  tff(f19727,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : $tType,X2 : product_prod(X3,X0),X3 : $tType,X4 : product_prod(X1,X3)] : (~aa(product_prod(X1,X3),X3,product_snd(X1,X3),X4) = aa(product_prod(X3,X0),X3,product_fst(X3,X0),X2) => nil(product_prod(X1,X0)) = iG977(X0,X1,X3,X2,X4)) & ! [X5 : $tType,X6 : $tType,X7 : product_prod(X8,X5),X8 : $tType,X9 : product_prod(X6,X8)] : (aa(product_prod(X6,X8),X8,product_snd(X6,X8),X9) = aa(product_prod(X8,X5),X8,product_fst(X8,X5),X7) => aa(list(product_prod(X6,X5)),list(product_prod(X6,X5)),cons(product_prod(X6,X5),aa(X5,product_prod(X6,X5),aa(X6,fun(X5,product_prod(X6,X5)),product_Pair(X6,X5),aa(product_prod(X6,X8),X6,product_fst(X6,X8),X9)),aa(product_prod(X8,X5),X5,product_snd(X8,X5),X7))),nil(product_prod(X6,X5))) = iG977(X5,X6,X8,X7,X9))),
% 8.48/2.15    inference(rectify,[],[f18862])).
% 8.48/2.15  tff(f18862,plain,(
% 8.48/2.15    ! [X1 : $tType,X2 : $tType,X4 : product_prod(X0,X1),X0 : $tType,X3 : product_prod(X2,X0)] : (~aa(product_prod(X2,X0),X0,product_snd(X2,X0),X3) = aa(product_prod(X0,X1),X0,product_fst(X0,X1),X4) => nil(product_prod(X2,X1)) = iG977(X1,X2,X0,X4,X3)) & ! [X1 : $tType,X2 : $tType,X4 : product_prod(X0,X1),X0 : $tType,X3 : product_prod(X2,X0)] : (aa(product_prod(X2,X0),X0,product_snd(X2,X0),X3) = aa(product_prod(X0,X1),X0,product_fst(X0,X1),X4) => aa(list(product_prod(X2,X1)),list(product_prod(X2,X1)),cons(product_prod(X2,X1),aa(X1,product_prod(X2,X1),aa(X2,fun(X1,product_prod(X2,X1)),product_Pair(X2,X1),aa(product_prod(X2,X0),X2,product_fst(X2,X0),X3)),aa(product_prod(X0,X1),X1,product_snd(X0,X1),X4))),nil(product_prod(X2,X1))) = iG977(X1,X2,X0,X4,X3))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG977])])).
% 8.48/2.15  tff(f43809,plain,(
% 8.48/2.15    ( ! [X1 : $tType,X0 : $tType,X3 : $tType,X2 : product_prod(X3,X0),X4 : product_prod(X1,X3)] : (nil(product_prod(X1,X0)) = iG977(X0,X1,X3,X2,X4) | aa(product_prod(X1,X3),X3,product_snd(X1,X3),X4) = aa(product_prod(X3,X0),X3,product_fst(X3,X0),X2)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25899])).
% 8.48/2.15  tff(f43806,plain,(
% 8.48/2.15    ( ! [X5 : $tType,X8 : $tType,X6 : X8,X9 : fun(X8,X5),X7 : fun(X8,$o)] : (aa(X5,option(X5),some(X5),aa(X8,X5,X9,X6)) = iG978(X5,X8,X6,X7,X9) | ($true != aa(X8,$o,X7,X6))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25898])).
% 8.48/2.15  tff(f25898,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : X3,X2 : fun(X3,$o),X3 : $tType,X4 : fun(X3,X0)] : (none(X0) = iG978(X0,X3,X1,X2,X4) | ($true = aa(X3,$o,X2,X1))) & ! [X5 : $tType,X6 : X8,X7 : fun(X8,$o),X8 : $tType,X9 : fun(X8,X5)] : (aa(X5,option(X5),some(X5),aa(X8,X5,X9,X6)) = iG978(X5,X8,X6,X7,X9) | ($true != aa(X8,$o,X7,X6)))),
% 8.48/2.15    inference(ennf_transformation,[],[f19726])).
% 8.48/2.15  tff(f19726,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : X3,X2 : fun(X3,$o),X3 : $tType,X4 : fun(X3,X0)] : (($true != aa(X3,$o,X2,X1)) => none(X0) = iG978(X0,X3,X1,X2,X4)) & ! [X5 : $tType,X6 : X8,X7 : fun(X8,$o),X8 : $tType,X9 : fun(X8,X5)] : (($true = aa(X8,$o,X7,X6)) => aa(X5,option(X5),some(X5),aa(X8,X5,X9,X6)) = iG978(X5,X8,X6,X7,X9))),
% 8.48/2.15    inference(flattening,[],[f19725])).
% 8.48/2.15  tff(f19725,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : X3,X2 : fun(X3,$o),X3 : $tType,X4 : fun(X3,X0)] : (~($true = aa(X3,$o,X2,X1)) => none(X0) = iG978(X0,X3,X1,X2,X4)) & ! [X5 : $tType,X6 : X8,X7 : fun(X8,$o),X8 : $tType,X9 : fun(X8,X5)] : (($true = aa(X8,$o,X7,X6)) => aa(X5,option(X5),some(X5),aa(X8,X5,X9,X6)) = iG978(X5,X8,X6,X7,X9))),
% 8.48/2.15    inference(rectify,[],[f18865])).
% 8.48/2.15  tff(f18865,plain,(
% 8.48/2.15    ! [X1 : $tType,X4 : X0,X3 : fun(X0,$o),X0 : $tType,X2 : fun(X0,X1)] : (~($true = aa(X0,$o,X3,X4)) => none(X1) = iG978(X1,X0,X4,X3,X2)) & ! [X1 : $tType,X4 : X0,X3 : fun(X0,$o),X0 : $tType,X2 : fun(X0,X1)] : (($true = aa(X0,$o,X3,X4)) => aa(X1,option(X1),some(X1),aa(X0,X1,X2,X4)) = iG978(X1,X0,X4,X3,X2))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG978])])).
% 8.48/2.15  tff(f43807,plain,(
% 8.48/2.15    ( ! [X0 : $tType,X3 : $tType,X2 : fun(X3,$o),X1 : X3,X4 : fun(X3,X0)] : (none(X0) = iG978(X0,X3,X1,X2,X4) | ($true = aa(X3,$o,X2,X1))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25898])).
% 8.48/2.15  tff(f61114,plain,(
% 8.48/2.15    ( ! [X5 : $tType,X7 : $tType,X8 : fun(X7,set(X5)),X9 : X5] : (aa(set(X5),set(X5),insert(X5,X9),bot_bot(set(X5))) = iG979(X5,X7,bot_bot(set(X7)),X8,X9)) )),
% 8.48/2.15    inference(equality_resolution,[],[f43804])).
% 8.48/2.15  tff(f43804,plain,(
% 8.48/2.15    ( ! [X5 : $tType,X7 : $tType,X8 : fun(X7,set(X5)),X6 : set(X7),X9 : X5] : (aa(set(X5),set(X5),insert(X5,X9),bot_bot(set(X5))) = iG979(X5,X7,X6,X8,X9) | bot_bot(set(X7)) != X6) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25897])).
% 8.48/2.15  tff(f25897,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : set(X2),X2 : $tType,X3 : fun(X2,set(X0)),X4 : X0] : (aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),aa(set(X2),set(set(X0)),image(X2,set(X0),aa(fun(X2,set(X0)),fun(X2,set(X0)),aTP_Lamp_ps(X0,fun(fun(X2,set(X0)),fun(X2,set(X0))),X4),X3)),X1)) = iG979(X0,X2,X1,X3,X4) | bot_bot(set(X2)) = X1) & ! [X5 : $tType,X6 : set(X7),X7 : $tType,X8 : fun(X7,set(X5)),X9 : X5] : (aa(set(X5),set(X5),insert(X5,X9),bot_bot(set(X5))) = iG979(X5,X7,X6,X8,X9) | bot_bot(set(X7)) != X6)),
% 8.48/2.15    inference(ennf_transformation,[],[f19724])).
% 8.48/2.15  tff(f19724,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : set(X2),X2 : $tType,X3 : fun(X2,set(X0)),X4 : X0] : (bot_bot(set(X2)) != X1 => aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),aa(set(X2),set(set(X0)),image(X2,set(X0),aa(fun(X2,set(X0)),fun(X2,set(X0)),aTP_Lamp_ps(X0,fun(fun(X2,set(X0)),fun(X2,set(X0))),X4),X3)),X1)) = iG979(X0,X2,X1,X3,X4)) & ! [X5 : $tType,X6 : set(X7),X7 : $tType,X8 : fun(X7,set(X5)),X9 : X5] : (bot_bot(set(X7)) = X6 => aa(set(X5),set(X5),insert(X5,X9),bot_bot(set(X5))) = iG979(X5,X7,X6,X8,X9))),
% 8.48/2.15    inference(flattening,[],[f19723])).
% 8.48/2.15  tff(f19723,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : set(X2),X2 : $tType,X3 : fun(X2,set(X0)),X4 : X0] : (~bot_bot(set(X2)) = X1 => aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),aa(set(X2),set(set(X0)),image(X2,set(X0),aa(fun(X2,set(X0)),fun(X2,set(X0)),aTP_Lamp_ps(X0,fun(fun(X2,set(X0)),fun(X2,set(X0))),X4),X3)),X1)) = iG979(X0,X2,X1,X3,X4)) & ! [X5 : $tType,X6 : set(X7),X7 : $tType,X8 : fun(X7,set(X5)),X9 : X5] : (bot_bot(set(X7)) = X6 => aa(set(X5),set(X5),insert(X5,X9),bot_bot(set(X5))) = iG979(X5,X7,X6,X8,X9))),
% 8.48/2.15    inference(rectify,[],[f18868])).
% 8.48/2.15  tff(f18868,plain,(
% 8.48/2.15    ! [X0 : $tType,X4 : set(X1),X1 : $tType,X3 : fun(X1,set(X0)),X2 : X0] : (~bot_bot(set(X1)) = X4 => aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),aa(set(X1),set(set(X0)),image(X1,set(X0),aa(fun(X1,set(X0)),fun(X1,set(X0)),aTP_Lamp_ps(X0,fun(fun(X1,set(X0)),fun(X1,set(X0))),X2),X3)),X4)) = iG979(X0,X1,X4,X3,X2)) & ! [X0 : $tType,X4 : set(X1),X1 : $tType,X3 : fun(X1,set(X0)),X2 : X0] : (bot_bot(set(X1)) = X4 => aa(set(X0),set(X0),insert(X0,X2),bot_bot(set(X0))) = iG979(X0,X1,X4,X3,X2))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG979])])).
% 8.48/2.15  tff(f43805,plain,(
% 8.48/2.15    ( ! [X0 : $tType,X2 : $tType,X3 : fun(X2,set(X0)),X1 : set(X2),X4 : X0] : (aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),aa(set(X2),set(set(X0)),image(X2,set(X0),aa(fun(X2,set(X0)),fun(X2,set(X0)),aTP_Lamp_ps(X0,fun(fun(X2,set(X0)),fun(X2,set(X0))),X4),X3)),X1)) = iG979(X0,X2,X1,X3,X4) | bot_bot(set(X2)) = X1) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25897])).
% 8.48/2.15  tff(f61113,plain,(
% 8.48/2.15    ( ! [X5 : $tType,X7 : $tType,X8 : fun(X7,set(X5)),X9 : set(X5)] : (iG980(X5,X7,bot_bot(set(X7)),X8,X9) = X9) )),
% 8.48/2.15    inference(equality_resolution,[],[f43802])).
% 8.48/2.15  tff(f43802,plain,(
% 8.48/2.15    ( ! [X5 : $tType,X7 : $tType,X8 : fun(X7,set(X5)),X6 : set(X7),X9 : set(X5)] : (iG980(X5,X7,X6,X8,X9) = X9 | bot_bot(set(X7)) != X6) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25896])).
% 8.48/2.15  tff(f25896,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : set(X2),X2 : $tType,X3 : fun(X2,set(X0)),X4 : set(X0)] : (aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),aa(set(X2),set(set(X0)),image(X2,set(X0),aa(fun(X2,set(X0)),fun(X2,set(X0)),aTP_Lamp_ra(set(X0),fun(fun(X2,set(X0)),fun(X2,set(X0))),X4),X3)),X1)) = iG980(X0,X2,X1,X3,X4) | bot_bot(set(X2)) = X1) & ! [X5 : $tType,X6 : set(X7),X7 : $tType,X8 : fun(X7,set(X5)),X9 : set(X5)] : (iG980(X5,X7,X6,X8,X9) = X9 | bot_bot(set(X7)) != X6)),
% 8.48/2.15    inference(ennf_transformation,[],[f19722])).
% 8.48/2.15  tff(f19722,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : set(X2),X2 : $tType,X3 : fun(X2,set(X0)),X4 : set(X0)] : (bot_bot(set(X2)) != X1 => aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),aa(set(X2),set(set(X0)),image(X2,set(X0),aa(fun(X2,set(X0)),fun(X2,set(X0)),aTP_Lamp_ra(set(X0),fun(fun(X2,set(X0)),fun(X2,set(X0))),X4),X3)),X1)) = iG980(X0,X2,X1,X3,X4)) & ! [X5 : $tType,X6 : set(X7),X7 : $tType,X8 : fun(X7,set(X5)),X9 : set(X5)] : (bot_bot(set(X7)) = X6 => iG980(X5,X7,X6,X8,X9) = X9)),
% 8.48/2.15    inference(flattening,[],[f19721])).
% 8.48/2.15  tff(f19721,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : set(X2),X2 : $tType,X3 : fun(X2,set(X0)),X4 : set(X0)] : (~bot_bot(set(X2)) = X1 => aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),aa(set(X2),set(set(X0)),image(X2,set(X0),aa(fun(X2,set(X0)),fun(X2,set(X0)),aTP_Lamp_ra(set(X0),fun(fun(X2,set(X0)),fun(X2,set(X0))),X4),X3)),X1)) = iG980(X0,X2,X1,X3,X4)) & ! [X5 : $tType,X6 : set(X7),X7 : $tType,X8 : fun(X7,set(X5)),X9 : set(X5)] : (bot_bot(set(X7)) = X6 => iG980(X5,X7,X6,X8,X9) = X9)),
% 8.48/2.15    inference(rectify,[],[f18871])).
% 8.48/2.15  tff(f18871,plain,(
% 8.48/2.15    ! [X0 : $tType,X4 : set(X1),X1 : $tType,X3 : fun(X1,set(X0)),X2 : set(X0)] : (~bot_bot(set(X1)) = X4 => aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),aa(set(X1),set(set(X0)),image(X1,set(X0),aa(fun(X1,set(X0)),fun(X1,set(X0)),aTP_Lamp_ra(set(X0),fun(fun(X1,set(X0)),fun(X1,set(X0))),X2),X3)),X4)) = iG980(X0,X1,X4,X3,X2)) & ! [X0 : $tType,X4 : set(X1),X1 : $tType,X3 : fun(X1,set(X0)),X2 : set(X0)] : (bot_bot(set(X1)) = X4 => iG980(X0,X1,X4,X3,X2) = X2)),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG980])])).
% 8.48/2.15  tff(f43803,plain,(
% 8.48/2.15    ( ! [X0 : $tType,X2 : $tType,X3 : fun(X2,set(X0)),X1 : set(X2),X4 : set(X0)] : (aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),aa(set(X2),set(set(X0)),image(X2,set(X0),aa(fun(X2,set(X0)),fun(X2,set(X0)),aTP_Lamp_ra(set(X0),fun(fun(X2,set(X0)),fun(X2,set(X0))),X4),X3)),X1)) = iG980(X0,X2,X1,X3,X4) | bot_bot(set(X2)) = X1) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25896])).
% 8.48/2.15  tff(f61112,plain,(
% 8.48/2.15    ( ! [X5 : $tType,X7 : $tType,X8 : fun(X7,set(X5)),X9 : set(X5)] : (iG981(X5,X7,bot_bot(set(X7)),X8,X9) = X9) )),
% 8.48/2.15    inference(equality_resolution,[],[f43800])).
% 8.48/2.15  tff(f43800,plain,(
% 8.48/2.15    ( ! [X5 : $tType,X7 : $tType,X8 : fun(X7,set(X5)),X6 : set(X7),X9 : set(X5)] : (iG981(X5,X7,X6,X8,X9) = X9 | bot_bot(set(X7)) != X6) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25895])).
% 8.48/2.15  tff(f25895,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : set(X2),X2 : $tType,X3 : fun(X2,set(X0)),X4 : set(X0)] : (aa(set(set(X0)),set(X0),complete_Inf_Inf(set(X0)),aa(set(X2),set(set(X0)),image(X2,set(X0),aa(fun(X2,set(X0)),fun(X2,set(X0)),aTP_Lamp_qa(set(X0),fun(fun(X2,set(X0)),fun(X2,set(X0))),X4),X3)),X1)) = iG981(X0,X2,X1,X3,X4) | bot_bot(set(X2)) = X1) & ! [X5 : $tType,X6 : set(X7),X7 : $tType,X8 : fun(X7,set(X5)),X9 : set(X5)] : (iG981(X5,X7,X6,X8,X9) = X9 | bot_bot(set(X7)) != X6)),
% 8.48/2.15    inference(ennf_transformation,[],[f19720])).
% 8.48/2.15  tff(f19720,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : set(X2),X2 : $tType,X3 : fun(X2,set(X0)),X4 : set(X0)] : (bot_bot(set(X2)) != X1 => aa(set(set(X0)),set(X0),complete_Inf_Inf(set(X0)),aa(set(X2),set(set(X0)),image(X2,set(X0),aa(fun(X2,set(X0)),fun(X2,set(X0)),aTP_Lamp_qa(set(X0),fun(fun(X2,set(X0)),fun(X2,set(X0))),X4),X3)),X1)) = iG981(X0,X2,X1,X3,X4)) & ! [X5 : $tType,X6 : set(X7),X7 : $tType,X8 : fun(X7,set(X5)),X9 : set(X5)] : (bot_bot(set(X7)) = X6 => iG981(X5,X7,X6,X8,X9) = X9)),
% 8.48/2.15    inference(flattening,[],[f19719])).
% 8.48/2.15  tff(f19719,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : set(X2),X2 : $tType,X3 : fun(X2,set(X0)),X4 : set(X0)] : (~bot_bot(set(X2)) = X1 => aa(set(set(X0)),set(X0),complete_Inf_Inf(set(X0)),aa(set(X2),set(set(X0)),image(X2,set(X0),aa(fun(X2,set(X0)),fun(X2,set(X0)),aTP_Lamp_qa(set(X0),fun(fun(X2,set(X0)),fun(X2,set(X0))),X4),X3)),X1)) = iG981(X0,X2,X1,X3,X4)) & ! [X5 : $tType,X6 : set(X7),X7 : $tType,X8 : fun(X7,set(X5)),X9 : set(X5)] : (bot_bot(set(X7)) = X6 => iG981(X5,X7,X6,X8,X9) = X9)),
% 8.48/2.15    inference(rectify,[],[f18874])).
% 8.48/2.15  tff(f18874,plain,(
% 8.48/2.15    ! [X0 : $tType,X4 : set(X1),X1 : $tType,X3 : fun(X1,set(X0)),X2 : set(X0)] : (~bot_bot(set(X1)) = X4 => aa(set(set(X0)),set(X0),complete_Inf_Inf(set(X0)),aa(set(X1),set(set(X0)),image(X1,set(X0),aa(fun(X1,set(X0)),fun(X1,set(X0)),aTP_Lamp_qa(set(X0),fun(fun(X1,set(X0)),fun(X1,set(X0))),X2),X3)),X4)) = iG981(X0,X1,X4,X3,X2)) & ! [X0 : $tType,X4 : set(X1),X1 : $tType,X3 : fun(X1,set(X0)),X2 : set(X0)] : (bot_bot(set(X1)) = X4 => iG981(X0,X1,X4,X3,X2) = X2)),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG981])])).
% 8.48/2.15  tff(f43801,plain,(
% 8.48/2.15    ( ! [X0 : $tType,X2 : $tType,X3 : fun(X2,set(X0)),X1 : set(X2),X4 : set(X0)] : (aa(set(set(X0)),set(X0),complete_Inf_Inf(set(X0)),aa(set(X2),set(set(X0)),image(X2,set(X0),aa(fun(X2,set(X0)),fun(X2,set(X0)),aTP_Lamp_qa(set(X0),fun(fun(X2,set(X0)),fun(X2,set(X0))),X4),X3)),X1)) = iG981(X0,X2,X1,X3,X4) | bot_bot(set(X2)) = X1) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25895])).
% 8.48/2.15  tff(f61111,plain,(
% 8.48/2.15    ( ! [X5 : $tType,X7 : $tType,X8 : fun(X7,set(X5)),X9 : set(X5)] : (iG982(X5,X7,bot_bot(set(X7)),X8,X9) = X9) )),
% 8.48/2.15    inference(equality_resolution,[],[f43798])).
% 8.48/2.15  tff(f43798,plain,(
% 8.48/2.15    ( ! [X5 : $tType,X7 : $tType,X8 : fun(X7,set(X5)),X6 : set(X7),X9 : set(X5)] : (iG982(X5,X7,X6,X8,X9) = X9 | bot_bot(set(X7)) != X6) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25894])).
% 8.48/2.15  tff(f25894,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : set(X2),X2 : $tType,X3 : fun(X2,set(X0)),X4 : set(X0)] : (aa(set(set(X0)),set(X0),complete_Inf_Inf(set(X0)),aa(set(X2),set(set(X0)),image(X2,set(X0),aa(fun(X2,set(X0)),fun(X2,set(X0)),aTP_Lamp_qb(set(X0),fun(fun(X2,set(X0)),fun(X2,set(X0))),X4),X3)),X1)) = iG982(X0,X2,X1,X3,X4) | bot_bot(set(X2)) = X1) & ! [X5 : $tType,X6 : set(X7),X7 : $tType,X8 : fun(X7,set(X5)),X9 : set(X5)] : (iG982(X5,X7,X6,X8,X9) = X9 | bot_bot(set(X7)) != X6)),
% 8.48/2.15    inference(ennf_transformation,[],[f19718])).
% 8.48/2.15  tff(f19718,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : set(X2),X2 : $tType,X3 : fun(X2,set(X0)),X4 : set(X0)] : (bot_bot(set(X2)) != X1 => aa(set(set(X0)),set(X0),complete_Inf_Inf(set(X0)),aa(set(X2),set(set(X0)),image(X2,set(X0),aa(fun(X2,set(X0)),fun(X2,set(X0)),aTP_Lamp_qb(set(X0),fun(fun(X2,set(X0)),fun(X2,set(X0))),X4),X3)),X1)) = iG982(X0,X2,X1,X3,X4)) & ! [X5 : $tType,X6 : set(X7),X7 : $tType,X8 : fun(X7,set(X5)),X9 : set(X5)] : (bot_bot(set(X7)) = X6 => iG982(X5,X7,X6,X8,X9) = X9)),
% 8.48/2.15    inference(flattening,[],[f19717])).
% 8.48/2.15  tff(f19717,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : set(X2),X2 : $tType,X3 : fun(X2,set(X0)),X4 : set(X0)] : (~bot_bot(set(X2)) = X1 => aa(set(set(X0)),set(X0),complete_Inf_Inf(set(X0)),aa(set(X2),set(set(X0)),image(X2,set(X0),aa(fun(X2,set(X0)),fun(X2,set(X0)),aTP_Lamp_qb(set(X0),fun(fun(X2,set(X0)),fun(X2,set(X0))),X4),X3)),X1)) = iG982(X0,X2,X1,X3,X4)) & ! [X5 : $tType,X6 : set(X7),X7 : $tType,X8 : fun(X7,set(X5)),X9 : set(X5)] : (bot_bot(set(X7)) = X6 => iG982(X5,X7,X6,X8,X9) = X9)),
% 8.48/2.15    inference(rectify,[],[f18877])).
% 8.48/2.15  tff(f18877,plain,(
% 8.48/2.15    ! [X0 : $tType,X4 : set(X1),X1 : $tType,X3 : fun(X1,set(X0)),X2 : set(X0)] : (~bot_bot(set(X1)) = X4 => aa(set(set(X0)),set(X0),complete_Inf_Inf(set(X0)),aa(set(X1),set(set(X0)),image(X1,set(X0),aa(fun(X1,set(X0)),fun(X1,set(X0)),aTP_Lamp_qb(set(X0),fun(fun(X1,set(X0)),fun(X1,set(X0))),X2),X3)),X4)) = iG982(X0,X1,X4,X3,X2)) & ! [X0 : $tType,X4 : set(X1),X1 : $tType,X3 : fun(X1,set(X0)),X2 : set(X0)] : (bot_bot(set(X1)) = X4 => iG982(X0,X1,X4,X3,X2) = X2)),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG982])])).
% 8.48/2.15  tff(f43799,plain,(
% 8.48/2.15    ( ! [X0 : $tType,X2 : $tType,X3 : fun(X2,set(X0)),X1 : set(X2),X4 : set(X0)] : (aa(set(set(X0)),set(X0),complete_Inf_Inf(set(X0)),aa(set(X2),set(set(X0)),image(X2,set(X0),aa(fun(X2,set(X0)),fun(X2,set(X0)),aTP_Lamp_qb(set(X0),fun(fun(X2,set(X0)),fun(X2,set(X0))),X4),X3)),X1)) = iG982(X0,X2,X1,X3,X4) | bot_bot(set(X2)) = X1) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25894])).
% 8.48/2.15  tff(f61110,plain,(
% 8.48/2.15    ( ! [X5 : $tType,X7 : $tType,X8 : set(X5),X9 : fun(X7,set(X5))] : (iG983(X5,X7,bot_bot(set(X7)),X8,X9) = X8) )),
% 8.48/2.15    inference(equality_resolution,[],[f43796])).
% 8.48/2.15  tff(f43796,plain,(
% 8.48/2.15    ( ! [X5 : $tType,X7 : $tType,X8 : set(X5),X6 : set(X7),X9 : fun(X7,set(X5))] : (iG983(X5,X7,X6,X8,X9) = X8 | bot_bot(set(X7)) != X6) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25893])).
% 8.48/2.15  tff(f25893,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : set(X2),X2 : $tType,X3 : set(X0),X4 : fun(X2,set(X0))] : (aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),aa(set(X2),set(set(X0)),image(X2,set(X0),aa(set(X0),fun(X2,set(X0)),aTP_Lamp_rb(fun(X2,set(X0)),fun(set(X0),fun(X2,set(X0))),X4),X3)),X1)) = iG983(X0,X2,X1,X3,X4) | bot_bot(set(X2)) = X1) & ! [X5 : $tType,X6 : set(X7),X7 : $tType,X8 : set(X5),X9 : fun(X7,set(X5))] : (iG983(X5,X7,X6,X8,X9) = X8 | bot_bot(set(X7)) != X6)),
% 8.48/2.15    inference(ennf_transformation,[],[f19716])).
% 8.48/2.15  tff(f19716,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : set(X2),X2 : $tType,X3 : set(X0),X4 : fun(X2,set(X0))] : (bot_bot(set(X2)) != X1 => aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),aa(set(X2),set(set(X0)),image(X2,set(X0),aa(set(X0),fun(X2,set(X0)),aTP_Lamp_rb(fun(X2,set(X0)),fun(set(X0),fun(X2,set(X0))),X4),X3)),X1)) = iG983(X0,X2,X1,X3,X4)) & ! [X5 : $tType,X6 : set(X7),X7 : $tType,X8 : set(X5),X9 : fun(X7,set(X5))] : (bot_bot(set(X7)) = X6 => iG983(X5,X7,X6,X8,X9) = X8)),
% 8.48/2.15    inference(flattening,[],[f19715])).
% 8.48/2.15  tff(f19715,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : set(X2),X2 : $tType,X3 : set(X0),X4 : fun(X2,set(X0))] : (~bot_bot(set(X2)) = X1 => aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),aa(set(X2),set(set(X0)),image(X2,set(X0),aa(set(X0),fun(X2,set(X0)),aTP_Lamp_rb(fun(X2,set(X0)),fun(set(X0),fun(X2,set(X0))),X4),X3)),X1)) = iG983(X0,X2,X1,X3,X4)) & ! [X5 : $tType,X6 : set(X7),X7 : $tType,X8 : set(X5),X9 : fun(X7,set(X5))] : (bot_bot(set(X7)) = X6 => iG983(X5,X7,X6,X8,X9) = X8)),
% 8.48/2.15    inference(rectify,[],[f18880])).
% 8.48/2.15  tff(f18880,plain,(
% 8.48/2.15    ! [X0 : $tType,X3 : set(X1),X1 : $tType,X4 : set(X0),X2 : fun(X1,set(X0))] : (~bot_bot(set(X1)) = X3 => aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),aa(set(X1),set(set(X0)),image(X1,set(X0),aa(set(X0),fun(X1,set(X0)),aTP_Lamp_rb(fun(X1,set(X0)),fun(set(X0),fun(X1,set(X0))),X2),X4)),X3)) = iG983(X0,X1,X3,X4,X2)) & ! [X0 : $tType,X3 : set(X1),X1 : $tType,X4 : set(X0),X2 : fun(X1,set(X0))] : (bot_bot(set(X1)) = X3 => iG983(X0,X1,X3,X4,X2) = X4)),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG983])])).
% 8.48/2.15  tff(f43797,plain,(
% 8.48/2.15    ( ! [X0 : $tType,X2 : $tType,X3 : set(X0),X1 : set(X2),X4 : fun(X2,set(X0))] : (aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),aa(set(X2),set(set(X0)),image(X2,set(X0),aa(set(X0),fun(X2,set(X0)),aTP_Lamp_rb(fun(X2,set(X0)),fun(set(X0),fun(X2,set(X0))),X4),X3)),X1)) = iG983(X0,X2,X1,X3,X4) | bot_bot(set(X2)) = X1) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25893])).
% 8.48/2.15  tff(f61109,plain,(
% 8.48/2.15    ( ! [X5 : $tType,X7 : $tType,X8 : set(X5),X9 : fun(X7,set(X5))] : (iG984(X5,X7,bot_bot(set(X7)),X8,X9) = X8) )),
% 8.48/2.15    inference(equality_resolution,[],[f43794])).
% 8.48/2.15  tff(f43794,plain,(
% 8.48/2.15    ( ! [X5 : $tType,X7 : $tType,X8 : set(X5),X6 : set(X7),X9 : fun(X7,set(X5))] : (iG984(X5,X7,X6,X8,X9) = X8 | bot_bot(set(X7)) != X6) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25892])).
% 8.48/2.15  tff(f25892,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : set(X2),X2 : $tType,X3 : set(X0),X4 : fun(X2,set(X0))] : (aa(set(set(X0)),set(X0),complete_Inf_Inf(set(X0)),aa(set(X2),set(set(X0)),image(X2,set(X0),aa(set(X0),fun(X2,set(X0)),aTP_Lamp_pz(fun(X2,set(X0)),fun(set(X0),fun(X2,set(X0))),X4),X3)),X1)) = iG984(X0,X2,X1,X3,X4) | bot_bot(set(X2)) = X1) & ! [X5 : $tType,X6 : set(X7),X7 : $tType,X8 : set(X5),X9 : fun(X7,set(X5))] : (iG984(X5,X7,X6,X8,X9) = X8 | bot_bot(set(X7)) != X6)),
% 8.48/2.15    inference(ennf_transformation,[],[f19714])).
% 8.48/2.15  tff(f19714,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : set(X2),X2 : $tType,X3 : set(X0),X4 : fun(X2,set(X0))] : (bot_bot(set(X2)) != X1 => aa(set(set(X0)),set(X0),complete_Inf_Inf(set(X0)),aa(set(X2),set(set(X0)),image(X2,set(X0),aa(set(X0),fun(X2,set(X0)),aTP_Lamp_pz(fun(X2,set(X0)),fun(set(X0),fun(X2,set(X0))),X4),X3)),X1)) = iG984(X0,X2,X1,X3,X4)) & ! [X5 : $tType,X6 : set(X7),X7 : $tType,X8 : set(X5),X9 : fun(X7,set(X5))] : (bot_bot(set(X7)) = X6 => iG984(X5,X7,X6,X8,X9) = X8)),
% 8.48/2.15    inference(flattening,[],[f19713])).
% 8.48/2.15  tff(f19713,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : set(X2),X2 : $tType,X3 : set(X0),X4 : fun(X2,set(X0))] : (~bot_bot(set(X2)) = X1 => aa(set(set(X0)),set(X0),complete_Inf_Inf(set(X0)),aa(set(X2),set(set(X0)),image(X2,set(X0),aa(set(X0),fun(X2,set(X0)),aTP_Lamp_pz(fun(X2,set(X0)),fun(set(X0),fun(X2,set(X0))),X4),X3)),X1)) = iG984(X0,X2,X1,X3,X4)) & ! [X5 : $tType,X6 : set(X7),X7 : $tType,X8 : set(X5),X9 : fun(X7,set(X5))] : (bot_bot(set(X7)) = X6 => iG984(X5,X7,X6,X8,X9) = X8)),
% 8.48/2.15    inference(rectify,[],[f18883])).
% 8.48/2.15  tff(f18883,plain,(
% 8.48/2.15    ! [X0 : $tType,X3 : set(X1),X1 : $tType,X4 : set(X0),X2 : fun(X1,set(X0))] : (~bot_bot(set(X1)) = X3 => aa(set(set(X0)),set(X0),complete_Inf_Inf(set(X0)),aa(set(X1),set(set(X0)),image(X1,set(X0),aa(set(X0),fun(X1,set(X0)),aTP_Lamp_pz(fun(X1,set(X0)),fun(set(X0),fun(X1,set(X0))),X2),X4)),X3)) = iG984(X0,X1,X3,X4,X2)) & ! [X0 : $tType,X3 : set(X1),X1 : $tType,X4 : set(X0),X2 : fun(X1,set(X0))] : (bot_bot(set(X1)) = X3 => iG984(X0,X1,X3,X4,X2) = X4)),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG984])])).
% 8.48/2.15  tff(f43795,plain,(
% 8.48/2.15    ( ! [X0 : $tType,X2 : $tType,X3 : set(X0),X1 : set(X2),X4 : fun(X2,set(X0))] : (aa(set(set(X0)),set(X0),complete_Inf_Inf(set(X0)),aa(set(X2),set(set(X0)),image(X2,set(X0),aa(set(X0),fun(X2,set(X0)),aTP_Lamp_pz(fun(X2,set(X0)),fun(set(X0),fun(X2,set(X0))),X4),X3)),X1)) = iG984(X0,X2,X1,X3,X4) | bot_bot(set(X2)) = X1) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25892])).
% 8.48/2.15  tff(f61108,plain,(
% 8.48/2.15    ( ! [X5 : $tType,X7 : $tType,X8 : set(X5),X9 : fun(X7,set(X5))] : (aa(set(X5),set(X5),aa(set(X5),fun(set(X5),set(X5)),minus_minus(set(X5)),top_top(set(X5))),X8) = iG985(X5,X7,bot_bot(set(X7)),X8,X9)) )),
% 8.48/2.15    inference(equality_resolution,[],[f43792])).
% 8.48/2.15  tff(f43792,plain,(
% 8.48/2.15    ( ! [X5 : $tType,X7 : $tType,X8 : set(X5),X6 : set(X7),X9 : fun(X7,set(X5))] : (aa(set(X5),set(X5),aa(set(X5),fun(set(X5),set(X5)),minus_minus(set(X5)),top_top(set(X5))),X8) = iG985(X5,X7,X6,X8,X9) | bot_bot(set(X7)) != X6) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25891])).
% 8.48/2.15  tff(f25891,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : set(X2),X2 : $tType,X3 : set(X0),X4 : fun(X2,set(X0))] : (aa(set(set(X0)),set(X0),complete_Inf_Inf(set(X0)),aa(set(X2),set(set(X0)),image(X2,set(X0),aa(set(X0),fun(X2,set(X0)),aTP_Lamp_py(fun(X2,set(X0)),fun(set(X0),fun(X2,set(X0))),X4),X3)),X1)) = iG985(X0,X2,X1,X3,X4) | bot_bot(set(X2)) = X1) & ! [X5 : $tType,X6 : set(X7),X7 : $tType,X8 : set(X5),X9 : fun(X7,set(X5))] : (aa(set(X5),set(X5),aa(set(X5),fun(set(X5),set(X5)),minus_minus(set(X5)),top_top(set(X5))),X8) = iG985(X5,X7,X6,X8,X9) | bot_bot(set(X7)) != X6)),
% 8.48/2.15    inference(ennf_transformation,[],[f19712])).
% 8.48/2.15  tff(f19712,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : set(X2),X2 : $tType,X3 : set(X0),X4 : fun(X2,set(X0))] : (bot_bot(set(X2)) != X1 => aa(set(set(X0)),set(X0),complete_Inf_Inf(set(X0)),aa(set(X2),set(set(X0)),image(X2,set(X0),aa(set(X0),fun(X2,set(X0)),aTP_Lamp_py(fun(X2,set(X0)),fun(set(X0),fun(X2,set(X0))),X4),X3)),X1)) = iG985(X0,X2,X1,X3,X4)) & ! [X5 : $tType,X6 : set(X7),X7 : $tType,X8 : set(X5),X9 : fun(X7,set(X5))] : (bot_bot(set(X7)) = X6 => aa(set(X5),set(X5),aa(set(X5),fun(set(X5),set(X5)),minus_minus(set(X5)),top_top(set(X5))),X8) = iG985(X5,X7,X6,X8,X9))),
% 8.48/2.15    inference(flattening,[],[f19711])).
% 8.48/2.15  tff(f19711,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : set(X2),X2 : $tType,X3 : set(X0),X4 : fun(X2,set(X0))] : (~bot_bot(set(X2)) = X1 => aa(set(set(X0)),set(X0),complete_Inf_Inf(set(X0)),aa(set(X2),set(set(X0)),image(X2,set(X0),aa(set(X0),fun(X2,set(X0)),aTP_Lamp_py(fun(X2,set(X0)),fun(set(X0),fun(X2,set(X0))),X4),X3)),X1)) = iG985(X0,X2,X1,X3,X4)) & ! [X5 : $tType,X6 : set(X7),X7 : $tType,X8 : set(X5),X9 : fun(X7,set(X5))] : (bot_bot(set(X7)) = X6 => aa(set(X5),set(X5),aa(set(X5),fun(set(X5),set(X5)),minus_minus(set(X5)),top_top(set(X5))),X8) = iG985(X5,X7,X6,X8,X9))),
% 8.48/2.15    inference(rectify,[],[f18886])).
% 8.48/2.15  tff(f18886,plain,(
% 8.48/2.15    ! [X0 : $tType,X3 : set(X1),X1 : $tType,X4 : set(X0),X2 : fun(X1,set(X0))] : (~bot_bot(set(X1)) = X3 => aa(set(set(X0)),set(X0),complete_Inf_Inf(set(X0)),aa(set(X1),set(set(X0)),image(X1,set(X0),aa(set(X0),fun(X1,set(X0)),aTP_Lamp_py(fun(X1,set(X0)),fun(set(X0),fun(X1,set(X0))),X2),X4)),X3)) = iG985(X0,X1,X3,X4,X2)) & ! [X0 : $tType,X3 : set(X1),X1 : $tType,X4 : set(X0),X2 : fun(X1,set(X0))] : (bot_bot(set(X1)) = X3 => aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),top_top(set(X0))),X4) = iG985(X0,X1,X3,X4,X2))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG985])])).
% 8.48/2.15  tff(f43793,plain,(
% 8.48/2.15    ( ! [X0 : $tType,X2 : $tType,X3 : set(X0),X1 : set(X2),X4 : fun(X2,set(X0))] : (aa(set(set(X0)),set(X0),complete_Inf_Inf(set(X0)),aa(set(X2),set(set(X0)),image(X2,set(X0),aa(set(X0),fun(X2,set(X0)),aTP_Lamp_py(fun(X2,set(X0)),fun(set(X0),fun(X2,set(X0))),X4),X3)),X1)) = iG985(X0,X2,X1,X3,X4) | bot_bot(set(X2)) = X1) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25891])).
% 8.48/2.15  tff(f61107,plain,(
% 8.48/2.15    ( ! [X5 : $tType,X7 : $tType,X8 : set(X5),X9 : fun(X7,set(X5))] : (top_top(set(X5)) = iG986(X5,X7,bot_bot(set(X7)),X8,X9)) )),
% 8.48/2.15    inference(equality_resolution,[],[f43790])).
% 8.48/2.15  tff(f43790,plain,(
% 8.48/2.15    ( ! [X5 : $tType,X7 : $tType,X8 : set(X5),X6 : set(X7),X9 : fun(X7,set(X5))] : (top_top(set(X5)) = iG986(X5,X7,X6,X8,X9) | bot_bot(set(X7)) != X6) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25890])).
% 8.48/2.15  tff(f25890,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : set(X2),X2 : $tType,X3 : set(X0),X4 : fun(X2,set(X0))] : (aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),aa(set(set(X0)),set(X0),complete_Inf_Inf(set(X0)),aa(set(X2),set(set(X0)),image(X2,set(X0),X4),X1))),X3) = iG986(X0,X2,X1,X3,X4) | bot_bot(set(X2)) = X1) & ! [X5 : $tType,X6 : set(X7),X7 : $tType,X8 : set(X5),X9 : fun(X7,set(X5))] : (top_top(set(X5)) = iG986(X5,X7,X6,X8,X9) | bot_bot(set(X7)) != X6)),
% 8.48/2.15    inference(ennf_transformation,[],[f19710])).
% 8.48/2.15  tff(f19710,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : set(X2),X2 : $tType,X3 : set(X0),X4 : fun(X2,set(X0))] : (bot_bot(set(X2)) != X1 => aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),aa(set(set(X0)),set(X0),complete_Inf_Inf(set(X0)),aa(set(X2),set(set(X0)),image(X2,set(X0),X4),X1))),X3) = iG986(X0,X2,X1,X3,X4)) & ! [X5 : $tType,X6 : set(X7),X7 : $tType,X8 : set(X5),X9 : fun(X7,set(X5))] : (bot_bot(set(X7)) = X6 => top_top(set(X5)) = iG986(X5,X7,X6,X8,X9))),
% 8.48/2.15    inference(flattening,[],[f19709])).
% 8.48/2.15  tff(f19709,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : set(X2),X2 : $tType,X3 : set(X0),X4 : fun(X2,set(X0))] : (~bot_bot(set(X2)) = X1 => aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),aa(set(set(X0)),set(X0),complete_Inf_Inf(set(X0)),aa(set(X2),set(set(X0)),image(X2,set(X0),X4),X1))),X3) = iG986(X0,X2,X1,X3,X4)) & ! [X5 : $tType,X6 : set(X7),X7 : $tType,X8 : set(X5),X9 : fun(X7,set(X5))] : (bot_bot(set(X7)) = X6 => top_top(set(X5)) = iG986(X5,X7,X6,X8,X9))),
% 8.48/2.15    inference(rectify,[],[f18889])).
% 8.48/2.15  tff(f18889,plain,(
% 8.48/2.15    ! [X1 : $tType,X4 : set(X0),X0 : $tType,X3 : set(X1),X2 : fun(X0,set(X1))] : (~bot_bot(set(X0)) = X4 => aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),inf_inf(set(X1)),aa(set(set(X1)),set(X1),complete_Inf_Inf(set(X1)),aa(set(X0),set(set(X1)),image(X0,set(X1),X2),X4))),X3) = iG986(X1,X0,X4,X3,X2)) & ! [X1 : $tType,X4 : set(X0),X0 : $tType,X3 : set(X1),X2 : fun(X0,set(X1))] : (bot_bot(set(X0)) = X4 => top_top(set(X1)) = iG986(X1,X0,X4,X3,X2))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG986])])).
% 8.48/2.15  tff(f43791,plain,(
% 8.48/2.15    ( ! [X0 : $tType,X2 : $tType,X3 : set(X0),X1 : set(X2),X4 : fun(X2,set(X0))] : (aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),aa(set(set(X0)),set(X0),complete_Inf_Inf(set(X0)),aa(set(X2),set(set(X0)),image(X2,set(X0),X4),X1))),X3) = iG986(X0,X2,X1,X3,X4) | bot_bot(set(X2)) = X1) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25890])).
% 8.48/2.15  tff(f61106,plain,(
% 8.48/2.15    ( ! [X5 : $tType,X7 : $tType,X8 : set(X5),X9 : fun(X7,set(X5))] : (top_top(set(X5)) = iG987(X5,X7,bot_bot(set(X7)),X8,X9)) )),
% 8.48/2.15    inference(equality_resolution,[],[f43788])).
% 8.48/2.15  tff(f43788,plain,(
% 8.48/2.15    ( ! [X5 : $tType,X7 : $tType,X8 : set(X5),X6 : set(X7),X9 : fun(X7,set(X5))] : (top_top(set(X5)) = iG987(X5,X7,X6,X8,X9) | bot_bot(set(X7)) != X6) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25889])).
% 8.48/2.15  tff(f25889,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : set(X2),X2 : $tType,X3 : set(X0),X4 : fun(X2,set(X0))] : (aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),aa(set(set(X0)),set(X0),complete_Inf_Inf(set(X0)),aa(set(X2),set(set(X0)),image(X2,set(X0),X4),X1))),X3) = iG987(X0,X2,X1,X3,X4) | bot_bot(set(X2)) = X1) & ! [X5 : $tType,X6 : set(X7),X7 : $tType,X8 : set(X5),X9 : fun(X7,set(X5))] : (top_top(set(X5)) = iG987(X5,X7,X6,X8,X9) | bot_bot(set(X7)) != X6)),
% 8.48/2.15    inference(ennf_transformation,[],[f19708])).
% 8.48/2.15  tff(f19708,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : set(X2),X2 : $tType,X3 : set(X0),X4 : fun(X2,set(X0))] : (bot_bot(set(X2)) != X1 => aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),aa(set(set(X0)),set(X0),complete_Inf_Inf(set(X0)),aa(set(X2),set(set(X0)),image(X2,set(X0),X4),X1))),X3) = iG987(X0,X2,X1,X3,X4)) & ! [X5 : $tType,X6 : set(X7),X7 : $tType,X8 : set(X5),X9 : fun(X7,set(X5))] : (bot_bot(set(X7)) = X6 => top_top(set(X5)) = iG987(X5,X7,X6,X8,X9))),
% 8.48/2.15    inference(flattening,[],[f19707])).
% 8.48/2.15  tff(f19707,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : set(X2),X2 : $tType,X3 : set(X0),X4 : fun(X2,set(X0))] : (~bot_bot(set(X2)) = X1 => aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),aa(set(set(X0)),set(X0),complete_Inf_Inf(set(X0)),aa(set(X2),set(set(X0)),image(X2,set(X0),X4),X1))),X3) = iG987(X0,X2,X1,X3,X4)) & ! [X5 : $tType,X6 : set(X7),X7 : $tType,X8 : set(X5),X9 : fun(X7,set(X5))] : (bot_bot(set(X7)) = X6 => top_top(set(X5)) = iG987(X5,X7,X6,X8,X9))),
% 8.48/2.15    inference(rectify,[],[f18892])).
% 8.48/2.15  tff(f18892,plain,(
% 8.48/2.15    ! [X1 : $tType,X4 : set(X0),X0 : $tType,X3 : set(X1),X2 : fun(X0,set(X1))] : (~bot_bot(set(X0)) = X4 => aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),minus_minus(set(X1)),aa(set(set(X1)),set(X1),complete_Inf_Inf(set(X1)),aa(set(X0),set(set(X1)),image(X0,set(X1),X2),X4))),X3) = iG987(X1,X0,X4,X3,X2)) & ! [X1 : $tType,X4 : set(X0),X0 : $tType,X3 : set(X1),X2 : fun(X0,set(X1))] : (bot_bot(set(X0)) = X4 => top_top(set(X1)) = iG987(X1,X0,X4,X3,X2))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG987])])).
% 8.48/2.15  tff(f43789,plain,(
% 8.48/2.15    ( ! [X0 : $tType,X2 : $tType,X3 : set(X0),X1 : set(X2),X4 : fun(X2,set(X0))] : (aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),aa(set(set(X0)),set(X0),complete_Inf_Inf(set(X0)),aa(set(X2),set(set(X0)),image(X2,set(X0),X4),X1))),X3) = iG987(X0,X2,X1,X3,X4) | bot_bot(set(X2)) = X1) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25889])).
% 8.48/2.15  tff(f61105,plain,(
% 8.48/2.15    ( ! [X5 : $tType,X7 : $tType,X8 : set(X5),X9 : fun(X7,set(X5))] : (bot_bot(set(X5)) = iG988(X5,X7,bot_bot(set(X7)),X8,X9)) )),
% 8.48/2.15    inference(equality_resolution,[],[f43786])).
% 8.48/2.15  tff(f43786,plain,(
% 8.48/2.15    ( ! [X5 : $tType,X7 : $tType,X8 : set(X5),X6 : set(X7),X9 : fun(X7,set(X5))] : (bot_bot(set(X5)) = iG988(X5,X7,X6,X8,X9) | bot_bot(set(X7)) != X6) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25888])).
% 8.48/2.15  tff(f25888,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : set(X2),X2 : $tType,X3 : set(X0),X4 : fun(X2,set(X0))] : (aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),sup_sup(set(X0)),aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),aa(set(X2),set(set(X0)),image(X2,set(X0),X4),X1))),X3) = iG988(X0,X2,X1,X3,X4) | bot_bot(set(X2)) = X1) & ! [X5 : $tType,X6 : set(X7),X7 : $tType,X8 : set(X5),X9 : fun(X7,set(X5))] : (bot_bot(set(X5)) = iG988(X5,X7,X6,X8,X9) | bot_bot(set(X7)) != X6)),
% 8.48/2.15    inference(ennf_transformation,[],[f19706])).
% 8.48/2.15  tff(f19706,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : set(X2),X2 : $tType,X3 : set(X0),X4 : fun(X2,set(X0))] : (bot_bot(set(X2)) != X1 => aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),sup_sup(set(X0)),aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),aa(set(X2),set(set(X0)),image(X2,set(X0),X4),X1))),X3) = iG988(X0,X2,X1,X3,X4)) & ! [X5 : $tType,X6 : set(X7),X7 : $tType,X8 : set(X5),X9 : fun(X7,set(X5))] : (bot_bot(set(X7)) = X6 => bot_bot(set(X5)) = iG988(X5,X7,X6,X8,X9))),
% 8.48/2.15    inference(flattening,[],[f19705])).
% 8.48/2.15  tff(f19705,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : set(X2),X2 : $tType,X3 : set(X0),X4 : fun(X2,set(X0))] : (~bot_bot(set(X2)) = X1 => aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),sup_sup(set(X0)),aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),aa(set(X2),set(set(X0)),image(X2,set(X0),X4),X1))),X3) = iG988(X0,X2,X1,X3,X4)) & ! [X5 : $tType,X6 : set(X7),X7 : $tType,X8 : set(X5),X9 : fun(X7,set(X5))] : (bot_bot(set(X7)) = X6 => bot_bot(set(X5)) = iG988(X5,X7,X6,X8,X9))),
% 8.48/2.15    inference(rectify,[],[f18895])).
% 8.48/2.15  tff(f18895,plain,(
% 8.48/2.15    ! [X1 : $tType,X4 : set(X0),X0 : $tType,X3 : set(X1),X2 : fun(X0,set(X1))] : (~bot_bot(set(X0)) = X4 => aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),sup_sup(set(X1)),aa(set(set(X1)),set(X1),complete_Sup_Sup(set(X1)),aa(set(X0),set(set(X1)),image(X0,set(X1),X2),X4))),X3) = iG988(X1,X0,X4,X3,X2)) & ! [X1 : $tType,X4 : set(X0),X0 : $tType,X3 : set(X1),X2 : fun(X0,set(X1))] : (bot_bot(set(X0)) = X4 => bot_bot(set(X1)) = iG988(X1,X0,X4,X3,X2))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG988])])).
% 8.48/2.15  tff(f43787,plain,(
% 8.48/2.15    ( ! [X0 : $tType,X2 : $tType,X3 : set(X0),X1 : set(X2),X4 : fun(X2,set(X0))] : (aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),sup_sup(set(X0)),aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),aa(set(X2),set(set(X0)),image(X2,set(X0),X4),X1))),X3) = iG988(X0,X2,X1,X3,X4) | bot_bot(set(X2)) = X1) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25888])).
% 8.48/2.15  tff(f61104,plain,(
% 8.48/2.15    ( ! [X5 : $tType,X7 : $tType,X8 : fun(X7,set(X5)),X9 : X5] : (bot_bot(set(X5)) = iG989(X5,X7,bot_bot(set(X7)),X8,X9)) )),
% 8.48/2.15    inference(equality_resolution,[],[f43784])).
% 8.48/2.15  tff(f43784,plain,(
% 8.48/2.15    ( ! [X5 : $tType,X7 : $tType,X8 : fun(X7,set(X5)),X6 : set(X7),X9 : X5] : (bot_bot(set(X5)) = iG989(X5,X7,X6,X8,X9) | bot_bot(set(X7)) != X6) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25887])).
% 8.48/2.15  tff(f25887,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : set(X2),X2 : $tType,X3 : fun(X2,set(X0)),X4 : X0] : (aa(set(X0),set(X0),insert(X0,X4),aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),aa(set(X2),set(set(X0)),image(X2,set(X0),X3),X1))) = iG989(X0,X2,X1,X3,X4) | bot_bot(set(X2)) = X1) & ! [X5 : $tType,X6 : set(X7),X7 : $tType,X8 : fun(X7,set(X5)),X9 : X5] : (bot_bot(set(X5)) = iG989(X5,X7,X6,X8,X9) | bot_bot(set(X7)) != X6)),
% 8.48/2.15    inference(ennf_transformation,[],[f19704])).
% 8.48/2.15  tff(f19704,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : set(X2),X2 : $tType,X3 : fun(X2,set(X0)),X4 : X0] : (bot_bot(set(X2)) != X1 => aa(set(X0),set(X0),insert(X0,X4),aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),aa(set(X2),set(set(X0)),image(X2,set(X0),X3),X1))) = iG989(X0,X2,X1,X3,X4)) & ! [X5 : $tType,X6 : set(X7),X7 : $tType,X8 : fun(X7,set(X5)),X9 : X5] : (bot_bot(set(X7)) = X6 => bot_bot(set(X5)) = iG989(X5,X7,X6,X8,X9))),
% 8.48/2.15    inference(flattening,[],[f19703])).
% 8.48/2.15  tff(f19703,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : set(X2),X2 : $tType,X3 : fun(X2,set(X0)),X4 : X0] : (~bot_bot(set(X2)) = X1 => aa(set(X0),set(X0),insert(X0,X4),aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),aa(set(X2),set(set(X0)),image(X2,set(X0),X3),X1))) = iG989(X0,X2,X1,X3,X4)) & ! [X5 : $tType,X6 : set(X7),X7 : $tType,X8 : fun(X7,set(X5)),X9 : X5] : (bot_bot(set(X7)) = X6 => bot_bot(set(X5)) = iG989(X5,X7,X6,X8,X9))),
% 8.48/2.15    inference(rectify,[],[f18898])).
% 8.48/2.15  tff(f18898,plain,(
% 8.48/2.15    ! [X0 : $tType,X4 : set(X1),X1 : $tType,X3 : fun(X1,set(X0)),X2 : X0] : (~bot_bot(set(X1)) = X4 => aa(set(X0),set(X0),insert(X0,X2),aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),aa(set(X1),set(set(X0)),image(X1,set(X0),X3),X4))) = iG989(X0,X1,X4,X3,X2)) & ! [X0 : $tType,X4 : set(X1),X1 : $tType,X3 : fun(X1,set(X0)),X2 : X0] : (bot_bot(set(X1)) = X4 => bot_bot(set(X0)) = iG989(X0,X1,X4,X3,X2))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG989])])).
% 8.48/2.15  tff(f43785,plain,(
% 8.48/2.15    ( ! [X0 : $tType,X2 : $tType,X3 : fun(X2,set(X0)),X1 : set(X2),X4 : X0] : (aa(set(X0),set(X0),insert(X0,X4),aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),aa(set(X2),set(set(X0)),image(X2,set(X0),X3),X1))) = iG989(X0,X2,X1,X3,X4) | bot_bot(set(X2)) = X1) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25887])).
% 8.48/2.15  tff(f61103,plain,(
% 8.48/2.15    ( ! [X5 : $tType,X7 : $tType,X8 : fun(X7,set(X5)),X9 : set(X5)] : (top_top(set(X5)) = iG990(X5,X7,bot_bot(set(X7)),X8,X9)) )),
% 8.48/2.15    inference(equality_resolution,[],[f43782])).
% 8.48/2.15  tff(f43782,plain,(
% 8.48/2.15    ( ! [X5 : $tType,X7 : $tType,X8 : fun(X7,set(X5)),X6 : set(X7),X9 : set(X5)] : (top_top(set(X5)) = iG990(X5,X7,X6,X8,X9) | bot_bot(set(X7)) != X6) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25886])).
% 8.48/2.15  tff(f25886,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : set(X2),X2 : $tType,X3 : fun(X2,set(X0)),X4 : set(X0)] : (aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),X4),aa(set(set(X0)),set(X0),complete_Inf_Inf(set(X0)),aa(set(X2),set(set(X0)),image(X2,set(X0),X3),X1))) = iG990(X0,X2,X1,X3,X4) | bot_bot(set(X2)) = X1) & ! [X5 : $tType,X6 : set(X7),X7 : $tType,X8 : fun(X7,set(X5)),X9 : set(X5)] : (top_top(set(X5)) = iG990(X5,X7,X6,X8,X9) | bot_bot(set(X7)) != X6)),
% 8.48/2.15    inference(ennf_transformation,[],[f19702])).
% 8.48/2.15  tff(f19702,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : set(X2),X2 : $tType,X3 : fun(X2,set(X0)),X4 : set(X0)] : (bot_bot(set(X2)) != X1 => aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),X4),aa(set(set(X0)),set(X0),complete_Inf_Inf(set(X0)),aa(set(X2),set(set(X0)),image(X2,set(X0),X3),X1))) = iG990(X0,X2,X1,X3,X4)) & ! [X5 : $tType,X6 : set(X7),X7 : $tType,X8 : fun(X7,set(X5)),X9 : set(X5)] : (bot_bot(set(X7)) = X6 => top_top(set(X5)) = iG990(X5,X7,X6,X8,X9))),
% 8.48/2.15    inference(flattening,[],[f19701])).
% 8.48/2.15  tff(f19701,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : set(X2),X2 : $tType,X3 : fun(X2,set(X0)),X4 : set(X0)] : (~bot_bot(set(X2)) = X1 => aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),X4),aa(set(set(X0)),set(X0),complete_Inf_Inf(set(X0)),aa(set(X2),set(set(X0)),image(X2,set(X0),X3),X1))) = iG990(X0,X2,X1,X3,X4)) & ! [X5 : $tType,X6 : set(X7),X7 : $tType,X8 : fun(X7,set(X5)),X9 : set(X5)] : (bot_bot(set(X7)) = X6 => top_top(set(X5)) = iG990(X5,X7,X6,X8,X9))),
% 8.48/2.15    inference(rectify,[],[f18901])).
% 8.48/2.15  tff(f18901,plain,(
% 8.48/2.15    ! [X0 : $tType,X4 : set(X1),X1 : $tType,X3 : fun(X1,set(X0)),X2 : set(X0)] : (~bot_bot(set(X1)) = X4 => aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),X2),aa(set(set(X0)),set(X0),complete_Inf_Inf(set(X0)),aa(set(X1),set(set(X0)),image(X1,set(X0),X3),X4))) = iG990(X0,X1,X4,X3,X2)) & ! [X0 : $tType,X4 : set(X1),X1 : $tType,X3 : fun(X1,set(X0)),X2 : set(X0)] : (bot_bot(set(X1)) = X4 => top_top(set(X0)) = iG990(X0,X1,X4,X3,X2))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG990])])).
% 8.48/2.15  tff(f43783,plain,(
% 8.48/2.15    ( ! [X0 : $tType,X2 : $tType,X3 : fun(X2,set(X0)),X1 : set(X2),X4 : set(X0)] : (aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),X4),aa(set(set(X0)),set(X0),complete_Inf_Inf(set(X0)),aa(set(X2),set(set(X0)),image(X2,set(X0),X3),X1))) = iG990(X0,X2,X1,X3,X4) | bot_bot(set(X2)) = X1) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25886])).
% 8.48/2.15  tff(f61102,plain,(
% 8.48/2.15    ( ! [X5 : $tType,X7 : $tType,X8 : fun(X7,set(X5)),X9 : set(X5)] : (top_top(set(X5)) = iG991(X5,X7,bot_bot(set(X7)),X8,X9)) )),
% 8.48/2.15    inference(equality_resolution,[],[f43780])).
% 8.48/2.15  tff(f43780,plain,(
% 8.48/2.15    ( ! [X5 : $tType,X7 : $tType,X8 : fun(X7,set(X5)),X6 : set(X7),X9 : set(X5)] : (top_top(set(X5)) = iG991(X5,X7,X6,X8,X9) | bot_bot(set(X7)) != X6) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25885])).
% 8.48/2.15  tff(f25885,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : set(X2),X2 : $tType,X3 : fun(X2,set(X0)),X4 : set(X0)] : (aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X4),aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),aa(set(X2),set(set(X0)),image(X2,set(X0),X3),X1))) = iG991(X0,X2,X1,X3,X4) | bot_bot(set(X2)) = X1) & ! [X5 : $tType,X6 : set(X7),X7 : $tType,X8 : fun(X7,set(X5)),X9 : set(X5)] : (top_top(set(X5)) = iG991(X5,X7,X6,X8,X9) | bot_bot(set(X7)) != X6)),
% 8.48/2.15    inference(ennf_transformation,[],[f19700])).
% 8.48/2.15  tff(f19700,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : set(X2),X2 : $tType,X3 : fun(X2,set(X0)),X4 : set(X0)] : (bot_bot(set(X2)) != X1 => aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X4),aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),aa(set(X2),set(set(X0)),image(X2,set(X0),X3),X1))) = iG991(X0,X2,X1,X3,X4)) & ! [X5 : $tType,X6 : set(X7),X7 : $tType,X8 : fun(X7,set(X5)),X9 : set(X5)] : (bot_bot(set(X7)) = X6 => top_top(set(X5)) = iG991(X5,X7,X6,X8,X9))),
% 8.48/2.15    inference(flattening,[],[f19699])).
% 8.48/2.15  tff(f19699,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : set(X2),X2 : $tType,X3 : fun(X2,set(X0)),X4 : set(X0)] : (~bot_bot(set(X2)) = X1 => aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X4),aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),aa(set(X2),set(set(X0)),image(X2,set(X0),X3),X1))) = iG991(X0,X2,X1,X3,X4)) & ! [X5 : $tType,X6 : set(X7),X7 : $tType,X8 : fun(X7,set(X5)),X9 : set(X5)] : (bot_bot(set(X7)) = X6 => top_top(set(X5)) = iG991(X5,X7,X6,X8,X9))),
% 8.48/2.15    inference(rectify,[],[f18904])).
% 8.48/2.15  tff(f18904,plain,(
% 8.48/2.15    ! [X0 : $tType,X4 : set(X1),X1 : $tType,X3 : fun(X1,set(X0)),X2 : set(X0)] : (~bot_bot(set(X1)) = X4 => aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X2),aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),aa(set(X1),set(set(X0)),image(X1,set(X0),X3),X4))) = iG991(X0,X1,X4,X3,X2)) & ! [X0 : $tType,X4 : set(X1),X1 : $tType,X3 : fun(X1,set(X0)),X2 : set(X0)] : (bot_bot(set(X1)) = X4 => top_top(set(X0)) = iG991(X0,X1,X4,X3,X2))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG991])])).
% 8.48/2.15  tff(f43781,plain,(
% 8.48/2.15    ( ! [X0 : $tType,X2 : $tType,X3 : fun(X2,set(X0)),X1 : set(X2),X4 : set(X0)] : (aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),X4),aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),aa(set(X2),set(set(X0)),image(X2,set(X0),X3),X1))) = iG991(X0,X2,X1,X3,X4) | bot_bot(set(X2)) = X1) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25885])).
% 8.48/2.15  tff(f61101,plain,(
% 8.48/2.15    ( ! [X5 : $tType,X7 : $tType,X8 : fun(X7,set(X5)),X9 : set(X5)] : (bot_bot(set(X5)) = iG992(X5,X7,bot_bot(set(X7)),X8,X9)) )),
% 8.48/2.15    inference(equality_resolution,[],[f43778])).
% 8.48/2.15  tff(f43778,plain,(
% 8.48/2.15    ( ! [X5 : $tType,X7 : $tType,X8 : fun(X7,set(X5)),X6 : set(X7),X9 : set(X5)] : (bot_bot(set(X5)) = iG992(X5,X7,X6,X8,X9) | bot_bot(set(X7)) != X6) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25884])).
% 8.48/2.15  tff(f25884,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : set(X2),X2 : $tType,X3 : fun(X2,set(X0)),X4 : set(X0)] : (aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),sup_sup(set(X0)),X4),aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),aa(set(X2),set(set(X0)),image(X2,set(X0),X3),X1))) = iG992(X0,X2,X1,X3,X4) | bot_bot(set(X2)) = X1) & ! [X5 : $tType,X6 : set(X7),X7 : $tType,X8 : fun(X7,set(X5)),X9 : set(X5)] : (bot_bot(set(X5)) = iG992(X5,X7,X6,X8,X9) | bot_bot(set(X7)) != X6)),
% 8.48/2.15    inference(ennf_transformation,[],[f19698])).
% 8.48/2.15  tff(f19698,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : set(X2),X2 : $tType,X3 : fun(X2,set(X0)),X4 : set(X0)] : (bot_bot(set(X2)) != X1 => aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),sup_sup(set(X0)),X4),aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),aa(set(X2),set(set(X0)),image(X2,set(X0),X3),X1))) = iG992(X0,X2,X1,X3,X4)) & ! [X5 : $tType,X6 : set(X7),X7 : $tType,X8 : fun(X7,set(X5)),X9 : set(X5)] : (bot_bot(set(X7)) = X6 => bot_bot(set(X5)) = iG992(X5,X7,X6,X8,X9))),
% 8.48/2.15    inference(flattening,[],[f19697])).
% 8.48/2.15  tff(f19697,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : set(X2),X2 : $tType,X3 : fun(X2,set(X0)),X4 : set(X0)] : (~bot_bot(set(X2)) = X1 => aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),sup_sup(set(X0)),X4),aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),aa(set(X2),set(set(X0)),image(X2,set(X0),X3),X1))) = iG992(X0,X2,X1,X3,X4)) & ! [X5 : $tType,X6 : set(X7),X7 : $tType,X8 : fun(X7,set(X5)),X9 : set(X5)] : (bot_bot(set(X7)) = X6 => bot_bot(set(X5)) = iG992(X5,X7,X6,X8,X9))),
% 8.48/2.15    inference(rectify,[],[f18907])).
% 8.48/2.15  tff(f18907,plain,(
% 8.48/2.15    ! [X0 : $tType,X4 : set(X1),X1 : $tType,X3 : fun(X1,set(X0)),X2 : set(X0)] : (~bot_bot(set(X1)) = X4 => aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),sup_sup(set(X0)),X2),aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),aa(set(X1),set(set(X0)),image(X1,set(X0),X3),X4))) = iG992(X0,X1,X4,X3,X2)) & ! [X0 : $tType,X4 : set(X1),X1 : $tType,X3 : fun(X1,set(X0)),X2 : set(X0)] : (bot_bot(set(X1)) = X4 => bot_bot(set(X0)) = iG992(X0,X1,X4,X3,X2))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG992])])).
% 8.48/2.15  tff(f43779,plain,(
% 8.48/2.15    ( ! [X0 : $tType,X2 : $tType,X3 : fun(X2,set(X0)),X1 : set(X2),X4 : set(X0)] : (aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),sup_sup(set(X0)),X4),aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),aa(set(X2),set(set(X0)),image(X2,set(X0),X3),X1))) = iG992(X0,X2,X1,X3,X4) | bot_bot(set(X2)) = X1) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25884])).
% 8.48/2.15  tff(f61100,plain,(
% 8.48/2.15    ( ! [X4 : $tType,X6 : fun(nat,X4),X7 : X4] : (iG993(X4,zero_zero(nat),X6,X7) = X7) )),
% 8.48/2.15    inference(equality_resolution,[],[f43776])).
% 8.48/2.15  tff(f43776,plain,(
% 8.48/2.15    ( ! [X4 : $tType,X6 : fun(nat,X4),X7 : X4,X5 : nat] : (iG993(X4,X5,X6,X7) = X7 | zero_zero(nat) != X5) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25883])).
% 8.48/2.15  tff(f25883,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : nat,X2 : fun(nat,X0),X3 : X0] : (aa(nat,X0,X2,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat))) = iG993(X0,X1,X2,X3) | zero_zero(nat) = X1) & ! [X4 : $tType,X5 : nat,X6 : fun(nat,X4),X7 : X4] : (iG993(X4,X5,X6,X7) = X7 | zero_zero(nat) != X5)),
% 8.48/2.15    inference(ennf_transformation,[],[f19696])).
% 8.48/2.15  tff(f19696,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : nat,X2 : fun(nat,X0),X3 : X0] : (zero_zero(nat) != X1 => aa(nat,X0,X2,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat))) = iG993(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : nat,X6 : fun(nat,X4),X7 : X4] : (zero_zero(nat) = X5 => iG993(X4,X5,X6,X7) = X7)),
% 8.48/2.15    inference(flattening,[],[f19695])).
% 8.48/2.15  tff(f19695,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : nat,X2 : fun(nat,X0),X3 : X0] : (~zero_zero(nat) = X1 => aa(nat,X0,X2,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat))) = iG993(X0,X1,X2,X3)) & ! [X4 : $tType,X5 : nat,X6 : fun(nat,X4),X7 : X4] : (zero_zero(nat) = X5 => iG993(X4,X5,X6,X7) = X7)),
% 8.48/2.15    inference(rectify,[],[f18984])).
% 8.48/2.15  tff(f18984,plain,(
% 8.48/2.15    ! [X0 : $tType,X4 : nat,X2 : fun(nat,X0),X3 : X0] : (~zero_zero(nat) = X4 => aa(nat,X0,X2,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X4),one_one(nat))) = iG993(X0,X4,X2,X3)) & ! [X0 : $tType,X4 : nat,X2 : fun(nat,X0),X3 : X0] : (zero_zero(nat) = X4 => iG993(X0,X4,X2,X3) = X3)),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG993])])).
% 8.48/2.15  tff(f43777,plain,(
% 8.48/2.15    ( ! [X0 : $tType,X2 : fun(nat,X0),X3 : X0,X1 : nat] : (aa(nat,X0,X2,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat))) = iG993(X0,X1,X2,X3) | zero_zero(nat) = X1) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25883])).
% 8.48/2.15  tff(f61099,plain,(
% 8.48/2.15    ( ! [X5 : $tType,X8 : list(X5),X9 : X5,X7 : nat] : (iG994(X5,X7,X7,X8,X9) = X9) )),
% 8.48/2.15    inference(equality_resolution,[],[f43774])).
% 8.48/2.15  tff(f43774,plain,(
% 8.48/2.15    ( ! [X5 : $tType,X8 : list(X5),X6 : nat,X9 : X5,X7 : nat] : (iG994(X5,X6,X7,X8,X9) = X9 | X6 != X7) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25882])).
% 8.48/2.15  tff(f25882,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : list(X0),X4 : X0] : (aa(nat,X0,nth(X0,X3),X1) = iG994(X0,X1,X2,X3,X4) | X1 = X2) & ! [X5 : $tType,X6 : nat,X7 : nat,X8 : list(X5),X9 : X5] : (iG994(X5,X6,X7,X8,X9) = X9 | X6 != X7)),
% 8.48/2.15    inference(ennf_transformation,[],[f19694])).
% 8.48/2.15  tff(f19694,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : list(X0),X4 : X0] : (X1 != X2 => aa(nat,X0,nth(X0,X3),X1) = iG994(X0,X1,X2,X3,X4)) & ! [X5 : $tType,X6 : nat,X7 : nat,X8 : list(X5),X9 : X5] : (X6 = X7 => iG994(X5,X6,X7,X8,X9) = X9)),
% 8.48/2.15    inference(flattening,[],[f19693])).
% 8.48/2.15  tff(f19693,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : list(X0),X4 : X0] : (~X1 = X2 => aa(nat,X0,nth(X0,X3),X1) = iG994(X0,X1,X2,X3,X4)) & ! [X5 : $tType,X6 : nat,X7 : nat,X8 : list(X5),X9 : X5] : (X6 = X7 => iG994(X5,X6,X7,X8,X9) = X9)),
% 8.48/2.15    inference(rectify,[],[f19053])).
% 8.48/2.15  tff(f19053,plain,(
% 8.48/2.15    ! [X0 : $tType,X4 : nat,X1 : nat,X2 : list(X0),X3 : X0] : (~X1 = X4 => aa(nat,X0,nth(X0,X2),X4) = iG994(X0,X4,X1,X2,X3)) & ! [X0 : $tType,X4 : nat,X1 : nat,X2 : list(X0),X3 : X0] : (X1 = X4 => iG994(X0,X4,X1,X2,X3) = X3)),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG994])])).
% 8.48/2.15  tff(f43775,plain,(
% 8.48/2.15    ( ! [X0 : $tType,X2 : nat,X3 : list(X0),X1 : nat,X4 : X0] : (aa(nat,X0,nth(X0,X3),X1) = iG994(X0,X1,X2,X3,X4) | X1 = X2) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25882])).
% 8.48/2.15  tff(f43772,plain,(
% 8.48/2.15    ( ! [X5 : $tType,X8 : X5,X6 : nat,X9 : fun(nat,fun(X5,X5)),X7 : nat] : (iG995(X5,X6,X7,X8,X9) = X8 | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X7),X6))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25881])).
% 8.48/2.15  tff(f25881,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : X0,X4 : fun(nat,fun(X0,X0))] : (set_fo6178422350223883121st_nat(X0,X4,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X1),one_one(nat)),X2,aa(X0,X0,aa(nat,fun(X0,X0),X4,X1),X3)) = iG995(X0,X1,X2,X3,X4) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1))) & ! [X5 : $tType,X6 : nat,X7 : nat,X8 : X5,X9 : fun(nat,fun(X5,X5))] : (iG995(X5,X6,X7,X8,X9) = X8 | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X7),X6)))),
% 8.48/2.15    inference(ennf_transformation,[],[f19692])).
% 8.48/2.15  tff(f19692,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : X0,X4 : fun(nat,fun(X0,X0))] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1)) => set_fo6178422350223883121st_nat(X0,X4,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X1),one_one(nat)),X2,aa(X0,X0,aa(nat,fun(X0,X0),X4,X1),X3)) = iG995(X0,X1,X2,X3,X4)) & ! [X5 : $tType,X6 : nat,X7 : nat,X8 : X5,X9 : fun(nat,fun(X5,X5))] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X7),X6)) => iG995(X5,X6,X7,X8,X9) = X8)),
% 8.48/2.15    inference(flattening,[],[f19691])).
% 8.48/2.15  tff(f19691,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : X0,X4 : fun(nat,fun(X0,X0))] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1)) => set_fo6178422350223883121st_nat(X0,X4,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X1),one_one(nat)),X2,aa(X0,X0,aa(nat,fun(X0,X0),X4,X1),X3)) = iG995(X0,X1,X2,X3,X4)) & ! [X5 : $tType,X6 : nat,X7 : nat,X8 : X5,X9 : fun(nat,fun(X5,X5))] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X7),X6)) => iG995(X5,X6,X7,X8,X9) = X8)),
% 8.48/2.15    inference(rectify,[],[f19084])).
% 8.48/2.15  tff(f19084,plain,(
% 8.48/2.15    ! [X0 : $tType,X2 : nat,X3 : nat,X4 : X0,X1 : fun(nat,fun(X0,X0))] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)) => set_fo6178422350223883121st_nat(X0,X1,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X2),one_one(nat)),X3,aa(X0,X0,aa(nat,fun(X0,X0),X1,X2),X4)) = iG995(X0,X2,X3,X4,X1)) & ! [X0 : $tType,X2 : nat,X3 : nat,X4 : X0,X1 : fun(nat,fun(X0,X0))] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)) => iG995(X0,X2,X3,X4,X1) = X4)),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG995])])).
% 8.48/2.15  tff(f43773,plain,(
% 8.48/2.15    ( ! [X0 : $tType,X2 : nat,X3 : X0,X1 : nat,X4 : fun(nat,fun(X0,X0))] : (set_fo6178422350223883121st_nat(X0,X4,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X1),one_one(nat)),X2,aa(X0,X0,aa(nat,fun(X0,X0),X4,X1),X3)) = iG995(X0,X1,X2,X3,X4) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25881])).
% 8.48/2.15  tff(f43771,plain,(
% 8.48/2.15    ( ! [X0 : nat] : (divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))) = lG996(X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f19690])).
% 8.48/2.15  tff(f19690,plain,(
% 8.48/2.15    ! [X0 : nat] : divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))) = lG996(X0)),
% 8.48/2.15    inference(rectify,[],[f19089])).
% 8.48/2.15  tff(f19089,plain,(
% 8.48/2.15    ! [X1 : nat] : divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))) = lG996(X1)),
% 8.48/2.15    introduced(fool_let_definition,[new_symbols(definition,[lG996])])).
% 8.48/2.15  tff(f43770,plain,(
% 8.48/2.15    ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),lG996(X0)) = lG997(X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f19689])).
% 8.48/2.15  tff(f19689,plain,(
% 8.48/2.15    ! [X0 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),lG996(X0)) = lG997(X0)),
% 8.48/2.15    inference(rectify,[],[f19090])).
% 8.48/2.15  tff(f19090,plain,(
% 8.48/2.15    ! [X1 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),lG996(X1)) = lG997(X1)),
% 8.48/2.15    introduced(fool_let_definition,[new_symbols(definition,[lG997])])).
% 8.48/2.15  tff(f43766,plain,(
% 8.48/2.15    ( ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (($true = bG998(X0,X1)) | member(vEBT_VEBT,sK1668(X0),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0)) | ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),sK1670(X1)))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36041])).
% 8.48/2.15  tff(f36041,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (((! [X2 : vEBT_VEBT] : (! [X3 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) | ~member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & ! [X4 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) | ($true != bG998(X0,X1))) & (($true = bG998(X0,X1)) | (($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK1668(X0)),sK1669(X0))) & member(vEBT_VEBT,sK1668(X0),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) | ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),sK1670(X1)))))),
% 8.48/2.15    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1668,sK1669,sK1670])],[f36037,f36040,f36039,f36038])).
% 8.48/2.15  tff(f36038,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT)] : (? [X5 : vEBT_VEBT] : (? [X6 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X5),X6)) & member(vEBT_VEBT,X5,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) => (? [X6 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK1668(X0)),X6)) & member(vEBT_VEBT,sK1668(X0),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))))),
% 8.48/2.15    introduced(choice_axiom,[])).
% 8.48/2.15  tff(f36039,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT)] : (? [X6 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK1668(X0)),X6)) => ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK1668(X0)),sK1669(X0))))),
% 8.48/2.15    introduced(choice_axiom,[])).
% 8.48/2.15  tff(f36040,plain,(
% 8.48/2.15    ! [X1 : vEBT_VEBT] : (? [X7 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X7)) => ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),sK1670(X1))))),
% 8.48/2.15    introduced(choice_axiom,[])).
% 8.48/2.15  tff(f36037,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (((! [X2 : vEBT_VEBT] : (! [X3 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) | ~member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & ! [X4 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) | ($true != bG998(X0,X1))) & (($true = bG998(X0,X1)) | ? [X5 : vEBT_VEBT] : (? [X6 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X5),X6)) & member(vEBT_VEBT,X5,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) | ? [X7 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X7))))),
% 8.48/2.15    inference(rectify,[],[f36036])).
% 8.48/2.15  tff(f36036,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (((! [X2 : vEBT_VEBT] : (! [X3 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) | ~member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & ! [X4 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) | ($true != bG998(X0,X1))) & (($true = bG998(X0,X1)) | ? [X2 : vEBT_VEBT] : (? [X3 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) & member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) | ? [X4 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))))),
% 8.48/2.15    inference(flattening,[],[f36035])).
% 8.48/2.15  tff(f36035,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (((! [X2 : vEBT_VEBT] : (! [X3 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) | ~member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & ! [X4 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) | ($true != bG998(X0,X1))) & (($true = bG998(X0,X1)) | (? [X2 : vEBT_VEBT] : (? [X3 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) & member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) | ? [X4 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4)))))),
% 8.48/2.15    inference(nnf_transformation,[],[f25880])).
% 8.48/2.15  tff(f25880,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : ((! [X2 : vEBT_VEBT] : (! [X3 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) | ~member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0))) & ! [X4 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) <=> ($true = bG998(X0,X1)))),
% 8.48/2.15    inference(ennf_transformation,[],[f19688])).
% 8.48/2.15  tff(f19688,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : ((! [X2 : vEBT_VEBT] : (member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0)) => ~? [X3 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3))) & ~? [X4 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4))) <=> ($true = bG998(X0,X1)))),
% 8.48/2.15    inference(rectify,[],[f19091])).
% 8.48/2.15  tff(f19091,plain,(
% 8.48/2.15    ! [X2 : list(vEBT_VEBT),X3 : vEBT_VEBT] : ((! [X5 : vEBT_VEBT] : (member(vEBT_VEBT,X5,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)) => ~? [X6 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X5),X6))) & ~? [X7 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X3),X7))) <=> ($true = bG998(X2,X3)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG998])])).
% 8.48/2.15  tff(f43767,plain,(
% 8.48/2.15    ( ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (($true = bG998(X0,X1)) | ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK1668(X0)),sK1669(X0))) | ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X1),sK1670(X1)))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36041])).
% 8.48/2.15  tff(f43768,plain,(
% 8.48/2.15    ( ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT,X4 : nat] : (($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X1),X4)) | ($true != bG998(X0,X1))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36041])).
% 8.48/2.15  tff(f43769,plain,(
% 8.48/2.15    ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X2),X3)) | ~member(vEBT_VEBT,X2,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0)) | ($true != bG998(X0,X1))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36041])).
% 8.48/2.15  tff(f43765,plain,(
% 8.48/2.15    ( ! [X0 : nat,X1 : nat] : (vEBT_VEBT_high(X0,divide_divide(nat,aa(nat,nat,suc,X1),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG999(X0,X1)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f19687])).
% 8.48/2.15  tff(f19687,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : vEBT_VEBT_high(X0,divide_divide(nat,aa(nat,nat,suc,X1),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG999(X0,X1)),
% 8.48/2.15    inference(rectify,[],[f19094])).
% 8.48/2.15  tff(f19094,plain,(
% 8.48/2.15    ! [X4 : nat,X1 : nat] : vEBT_VEBT_high(X4,divide_divide(nat,aa(nat,nat,suc,X1),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG999(X4,X1)),
% 8.48/2.15    introduced(fool_let_definition,[new_symbols(definition,[lG999])])).
% 8.48/2.15  tff(f43762,plain,(
% 8.48/2.15    ( ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG999(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) | ~iG1000(X3,X4,X5) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG999(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3)))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36034])).
% 8.48/2.15  tff(f36034,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~iG1000(X0,X1,X2) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG999(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (((iG1000(X3,X4,X5) | ~vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG999(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) & (vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG999(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) | ~iG1000(X3,X4,X5))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG999(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))),
% 8.48/2.15    inference(nnf_transformation,[],[f25879])).
% 8.48/2.15  tff(f25879,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~iG1000(X0,X1,X2) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG999(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : ((iG1000(X3,X4,X5) <=> vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG999(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG999(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))),
% 8.48/2.15    inference(ennf_transformation,[],[f19686])).
% 8.48/2.15  tff(f19686,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG999(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => ~iG1000(X0,X1,X2)) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG999(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (iG1000(X3,X4,X5) <=> vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG999(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.15    inference(flattening,[],[f19685])).
% 8.48/2.15  tff(f19685,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG999(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => ~iG1000(X0,X1,X2)) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG999(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (iG1000(X3,X4,X5) <=> vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG999(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.15    inference(true_and_false_elimination,[],[f19684])).
% 8.48/2.15  tff(f19684,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG999(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => (iG1000(X0,X1,X2) <=> $false)) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG999(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (iG1000(X3,X4,X5) <=> vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG999(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.15    inference(rectify,[],[f19095])).
% 8.48/2.15  tff(f19095,plain,(
% 8.48/2.15    ! [X2 : list(vEBT_VEBT),X1 : nat,X4 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG999(X4,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X2))) => (iG1000(X2,X1,X4) <=> $false)) & ! [X2 : list(vEBT_VEBT),X1 : nat,X4 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG999(X4,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X2))) => (iG1000(X2,X1,X4) <=> vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X2),lG999(X4,X1)),vEBT_VEBT_low(X4,divide_divide(nat,aa(nat,nat,suc,X1),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG1000])])).
% 8.48/2.15  tff(f43763,plain,(
% 8.48/2.15    ( ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (iG1000(X3,X4,X5) | ~vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG999(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG999(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3)))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36034])).
% 8.48/2.15  tff(f43764,plain,(
% 8.48/2.15    ( ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (~iG1000(X0,X1,X2) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG999(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36034])).
% 8.48/2.15  tff(f61098,plain,(
% 8.48/2.15    ($true = bG1001($true))),
% 8.48/2.15    inference(equality_resolution,[],[f43760])).
% 8.48/2.15  tff(f43760,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG1001(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36033])).
% 8.48/2.15  tff(f36033,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG1001(X0))) & (($true = bG1001(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f19683])).
% 8.48/2.15  tff(f19683,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG1001(X0)))),
% 8.48/2.15    inference(rectify,[],[f19188])).
% 8.48/2.15  tff(f19188,plain,(
% 8.48/2.15    ! [X4 : $o] : (($true = X4) <=> ($true = bG1001(X4)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG1001])])).
% 8.48/2.15  tff(f43761,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG1001(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36033])).
% 8.48/2.15  tff(f61097,plain,(
% 8.48/2.15    ($true = bG1002($true))),
% 8.48/2.15    inference(equality_resolution,[],[f43758])).
% 8.48/2.15  tff(f43758,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG1002(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36032])).
% 8.48/2.15  tff(f36032,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG1002(X0))) & (($true = bG1002(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f19682])).
% 8.48/2.15  tff(f19682,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG1002(X0)))),
% 8.48/2.15    inference(rectify,[],[f19189])).
% 8.48/2.15  tff(f19189,plain,(
% 8.48/2.15    ! [X5 : $o] : (($true = X5) <=> ($true = bG1002(X5)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG1002])])).
% 8.48/2.15  tff(f43759,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG1002(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36032])).
% 8.48/2.15  tff(f43756,plain,(
% 8.48/2.15    ( ! [X7 : $tType,X6 : $tType,X10 : fun(X7,option(X6)),X11 : option(X6),X8 : set(X7),X9 : X7] : (fun_upd(X7,option(X6),restrict_map(X7,X6,X10,aa(set(X7),set(X7),aa(set(X7),fun(set(X7),set(X7)),minus_minus(set(X7)),X8),aa(set(X7),set(X7),insert(X7,X9),bot_bot(set(X7))))),X9,X11) = iG1003(X6,X7,X8,X9,X10,X11) | ~member(X7,X9,X8)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25878])).
% 8.48/2.15  tff(f25878,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : $tType,X2 : set(X1),X3 : X1,X4 : fun(X1,option(X0)),X5 : option(X0)] : (restrict_map(X1,X0,X4,X2) = iG1003(X0,X1,X2,X3,X4,X5) | member(X1,X3,X2)) & ! [X6 : $tType,X7 : $tType,X8 : set(X7),X9 : X7,X10 : fun(X7,option(X6)),X11 : option(X6)] : (fun_upd(X7,option(X6),restrict_map(X7,X6,X10,aa(set(X7),set(X7),aa(set(X7),fun(set(X7),set(X7)),minus_minus(set(X7)),X8),aa(set(X7),set(X7),insert(X7,X9),bot_bot(set(X7))))),X9,X11) = iG1003(X6,X7,X8,X9,X10,X11) | ~member(X7,X9,X8))),
% 8.48/2.15    inference(ennf_transformation,[],[f19681])).
% 8.48/2.15  tff(f19681,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : $tType,X2 : set(X1),X3 : X1,X4 : fun(X1,option(X0)),X5 : option(X0)] : (~member(X1,X3,X2) => restrict_map(X1,X0,X4,X2) = iG1003(X0,X1,X2,X3,X4,X5)) & ! [X6 : $tType,X7 : $tType,X8 : set(X7),X9 : X7,X10 : fun(X7,option(X6)),X11 : option(X6)] : (member(X7,X9,X8) => fun_upd(X7,option(X6),restrict_map(X7,X6,X10,aa(set(X7),set(X7),aa(set(X7),fun(set(X7),set(X7)),minus_minus(set(X7)),X8),aa(set(X7),set(X7),insert(X7,X9),bot_bot(set(X7))))),X9,X11) = iG1003(X6,X7,X8,X9,X10,X11))),
% 8.48/2.15    inference(flattening,[],[f19680])).
% 8.48/2.15  tff(f19680,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : $tType,X2 : set(X1),X3 : X1,X4 : fun(X1,option(X0)),X5 : option(X0)] : (~member(X1,X3,X2) => restrict_map(X1,X0,X4,X2) = iG1003(X0,X1,X2,X3,X4,X5)) & ! [X6 : $tType,X7 : $tType,X8 : set(X7),X9 : X7,X10 : fun(X7,option(X6)),X11 : option(X6)] : (member(X7,X9,X8) => fun_upd(X7,option(X6),restrict_map(X7,X6,X10,aa(set(X7),set(X7),aa(set(X7),fun(set(X7),set(X7)),minus_minus(set(X7)),X8),aa(set(X7),set(X7),insert(X7,X9),bot_bot(set(X7))))),X9,X11) = iG1003(X6,X7,X8,X9,X10,X11))),
% 8.48/2.15    inference(rectify,[],[f19192])).
% 8.48/2.15  tff(f19192,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : $tType,X5 : set(X1),X3 : X1,X2 : fun(X1,option(X0)),X4 : option(X0)] : (~member(X1,X3,X5) => restrict_map(X1,X0,X2,X5) = iG1003(X0,X1,X5,X3,X2,X4)) & ! [X0 : $tType,X1 : $tType,X5 : set(X1),X3 : X1,X2 : fun(X1,option(X0)),X4 : option(X0)] : (member(X1,X3,X5) => fun_upd(X1,option(X0),restrict_map(X1,X0,X2,aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),minus_minus(set(X1)),X5),aa(set(X1),set(X1),insert(X1,X3),bot_bot(set(X1))))),X3,X4) = iG1003(X0,X1,X5,X3,X2,X4))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG1003])])).
% 8.48/2.15  tff(f43757,plain,(
% 8.48/2.15    ( ! [X1 : $tType,X0 : $tType,X2 : set(X1),X3 : X1,X4 : fun(X1,option(X0)),X5 : option(X0)] : (restrict_map(X1,X0,X4,X2) = iG1003(X0,X1,X2,X3,X4,X5) | member(X1,X3,X2)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25878])).
% 8.48/2.15  tff(f43754,plain,(
% 8.48/2.15    ( ! [X9 : $tType,X6 : $tType,X10 : fun(X9,X6),X11 : X6,X8 : X9,X7 : set(X9)] : (aa(set(X6),set(X6),insert(X6,X11),aa(set(X9),set(X6),image(X9,X6,X10),aa(set(X9),set(X9),aa(set(X9),fun(set(X9),set(X9)),minus_minus(set(X9)),X7),aa(set(X9),set(X9),insert(X9,X8),bot_bot(set(X9)))))) = iG1004(X6,X9,X7,X8,X10,X11) | ~member(X9,X8,X7)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25877])).
% 8.48/2.15  tff(f25877,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : set(X3),X2 : X3,X3 : $tType,X4 : fun(X3,X0),X5 : X0] : (aa(set(X3),set(X0),image(X3,X0,X4),X1) = iG1004(X0,X3,X1,X2,X4,X5) | member(X3,X2,X1)) & ! [X6 : $tType,X7 : set(X9),X8 : X9,X9 : $tType,X10 : fun(X9,X6),X11 : X6] : (aa(set(X6),set(X6),insert(X6,X11),aa(set(X9),set(X6),image(X9,X6,X10),aa(set(X9),set(X9),aa(set(X9),fun(set(X9),set(X9)),minus_minus(set(X9)),X7),aa(set(X9),set(X9),insert(X9,X8),bot_bot(set(X9)))))) = iG1004(X6,X9,X7,X8,X10,X11) | ~member(X9,X8,X7))),
% 8.48/2.15    inference(ennf_transformation,[],[f19679])).
% 8.48/2.15  tff(f19679,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : set(X3),X2 : X3,X3 : $tType,X4 : fun(X3,X0),X5 : X0] : (~member(X3,X2,X1) => aa(set(X3),set(X0),image(X3,X0,X4),X1) = iG1004(X0,X3,X1,X2,X4,X5)) & ! [X6 : $tType,X7 : set(X9),X8 : X9,X9 : $tType,X10 : fun(X9,X6),X11 : X6] : (member(X9,X8,X7) => aa(set(X6),set(X6),insert(X6,X11),aa(set(X9),set(X6),image(X9,X6,X10),aa(set(X9),set(X9),aa(set(X9),fun(set(X9),set(X9)),minus_minus(set(X9)),X7),aa(set(X9),set(X9),insert(X9,X8),bot_bot(set(X9)))))) = iG1004(X6,X9,X7,X8,X10,X11))),
% 8.48/2.15    inference(flattening,[],[f19678])).
% 8.48/2.15  tff(f19678,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : set(X3),X2 : X3,X3 : $tType,X4 : fun(X3,X0),X5 : X0] : (~member(X3,X2,X1) => aa(set(X3),set(X0),image(X3,X0,X4),X1) = iG1004(X0,X3,X1,X2,X4,X5)) & ! [X6 : $tType,X7 : set(X9),X8 : X9,X9 : $tType,X10 : fun(X9,X6),X11 : X6] : (member(X9,X8,X7) => aa(set(X6),set(X6),insert(X6,X11),aa(set(X9),set(X6),image(X9,X6,X10),aa(set(X9),set(X9),aa(set(X9),fun(set(X9),set(X9)),minus_minus(set(X9)),X7),aa(set(X9),set(X9),insert(X9,X8),bot_bot(set(X9)))))) = iG1004(X6,X9,X7,X8,X10,X11))),
% 8.48/2.15    inference(rectify,[],[f19195])).
% 8.48/2.15  tff(f19195,plain,(
% 8.48/2.15    ! [X0 : $tType,X5 : set(X1),X3 : X1,X1 : $tType,X2 : fun(X1,X0),X4 : X0] : (~member(X1,X3,X5) => aa(set(X1),set(X0),image(X1,X0,X2),X5) = iG1004(X0,X1,X5,X3,X2,X4)) & ! [X0 : $tType,X5 : set(X1),X3 : X1,X1 : $tType,X2 : fun(X1,X0),X4 : X0] : (member(X1,X3,X5) => aa(set(X0),set(X0),insert(X0,X4),aa(set(X1),set(X0),image(X1,X0,X2),aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),minus_minus(set(X1)),X5),aa(set(X1),set(X1),insert(X1,X3),bot_bot(set(X1)))))) = iG1004(X0,X1,X5,X3,X2,X4))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG1004])])).
% 8.48/2.15  tff(f43755,plain,(
% 8.48/2.15    ( ! [X0 : $tType,X3 : $tType,X2 : X3,X1 : set(X3),X4 : fun(X3,X0),X5 : X0] : (aa(set(X3),set(X0),image(X3,X0,X4),X1) = iG1004(X0,X3,X1,X2,X4,X5) | member(X3,X2,X1)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25877])).
% 8.48/2.15  tff(f43752,plain,(
% 8.48/2.15    ( ! [X9 : $tType,X6 : $tType,X10 : fun(X9,X6),X11 : fun(X9,X6),X8 : X9,X7 : set(X9)] : (aa(X9,X6,X11,X8) = iG1005(X6,X9,X7,X8,X10,X11) | ~member(X9,X8,X7)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25876])).
% 8.48/2.15  tff(f25876,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : set(X3),X2 : X3,X3 : $tType,X4 : fun(X3,X0),X5 : fun(X3,X0)] : (aa(X3,X0,X4,X2) = iG1005(X0,X3,X1,X2,X4,X5) | member(X3,X2,X1)) & ! [X6 : $tType,X7 : set(X9),X8 : X9,X9 : $tType,X10 : fun(X9,X6),X11 : fun(X9,X6)] : (aa(X9,X6,X11,X8) = iG1005(X6,X9,X7,X8,X10,X11) | ~member(X9,X8,X7))),
% 8.48/2.15    inference(ennf_transformation,[],[f19677])).
% 8.48/2.15  tff(f19677,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : set(X3),X2 : X3,X3 : $tType,X4 : fun(X3,X0),X5 : fun(X3,X0)] : (~member(X3,X2,X1) => aa(X3,X0,X4,X2) = iG1005(X0,X3,X1,X2,X4,X5)) & ! [X6 : $tType,X7 : set(X9),X8 : X9,X9 : $tType,X10 : fun(X9,X6),X11 : fun(X9,X6)] : (member(X9,X8,X7) => aa(X9,X6,X11,X8) = iG1005(X6,X9,X7,X8,X10,X11))),
% 8.48/2.15    inference(flattening,[],[f19676])).
% 8.48/2.15  tff(f19676,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : set(X3),X2 : X3,X3 : $tType,X4 : fun(X3,X0),X5 : fun(X3,X0)] : (~member(X3,X2,X1) => aa(X3,X0,X4,X2) = iG1005(X0,X3,X1,X2,X4,X5)) & ! [X6 : $tType,X7 : set(X9),X8 : X9,X9 : $tType,X10 : fun(X9,X6),X11 : fun(X9,X6)] : (member(X9,X8,X7) => aa(X9,X6,X11,X8) = iG1005(X6,X9,X7,X8,X10,X11))),
% 8.48/2.15    inference(rectify,[],[f19198])).
% 8.48/2.15  tff(f19198,plain,(
% 8.48/2.15    ! [X0 : $tType,X3 : set(X1),X5 : X1,X1 : $tType,X4 : fun(X1,X0),X2 : fun(X1,X0)] : (~member(X1,X5,X3) => aa(X1,X0,X4,X5) = iG1005(X0,X1,X3,X5,X4,X2)) & ! [X0 : $tType,X3 : set(X1),X5 : X1,X1 : $tType,X4 : fun(X1,X0),X2 : fun(X1,X0)] : (member(X1,X5,X3) => aa(X1,X0,X2,X5) = iG1005(X0,X1,X3,X5,X4,X2))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG1005])])).
% 8.48/2.15  tff(f43753,plain,(
% 8.48/2.15    ( ! [X0 : $tType,X3 : $tType,X2 : X3,X1 : set(X3),X4 : fun(X3,X0),X5 : fun(X3,X0)] : (aa(X3,X0,X4,X2) = iG1005(X0,X3,X1,X2,X4,X5) | member(X3,X2,X1)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25876])).
% 8.48/2.15  tff(f61096,plain,(
% 8.48/2.15    ( ! [X9 : $tType,X6 : $tType,X10 : list(product_prod(X9,X6)),X11 : X6,X8 : X9] : (aa(X6,option(X6),some(X6),X11) = iG1006(X6,X9,X8,X8,X10,X11)) )),
% 8.48/2.15    inference(equality_resolution,[],[f43750])).
% 8.48/2.15  tff(f43750,plain,(
% 8.48/2.15    ( ! [X9 : $tType,X6 : $tType,X10 : list(product_prod(X9,X6)),X11 : X6,X8 : X9,X7 : X9] : (aa(X6,option(X6),some(X6),X11) = iG1006(X6,X9,X7,X8,X10,X11) | X7 != X8) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25875])).
% 8.48/2.15  tff(f25875,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : X3,X2 : X3,X3 : $tType,X4 : list(product_prod(X3,X0)),X5 : X0] : (aa(X3,option(X0),map_of(X3,X0,X4),X1) = iG1006(X0,X3,X1,X2,X4,X5) | X1 = X2) & ! [X6 : $tType,X7 : X9,X8 : X9,X9 : $tType,X10 : list(product_prod(X9,X6)),X11 : X6] : (aa(X6,option(X6),some(X6),X11) = iG1006(X6,X9,X7,X8,X10,X11) | X7 != X8)),
% 8.48/2.15    inference(ennf_transformation,[],[f19675])).
% 8.48/2.15  tff(f19675,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : X3,X2 : X3,X3 : $tType,X4 : list(product_prod(X3,X0)),X5 : X0] : (X1 != X2 => aa(X3,option(X0),map_of(X3,X0,X4),X1) = iG1006(X0,X3,X1,X2,X4,X5)) & ! [X6 : $tType,X7 : X9,X8 : X9,X9 : $tType,X10 : list(product_prod(X9,X6)),X11 : X6] : (X7 = X8 => aa(X6,option(X6),some(X6),X11) = iG1006(X6,X9,X7,X8,X10,X11))),
% 8.48/2.15    inference(flattening,[],[f19674])).
% 8.48/2.15  tff(f19674,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : X3,X2 : X3,X3 : $tType,X4 : list(product_prod(X3,X0)),X5 : X0] : (~X1 = X2 => aa(X3,option(X0),map_of(X3,X0,X4),X1) = iG1006(X0,X3,X1,X2,X4,X5)) & ! [X6 : $tType,X7 : X9,X8 : X9,X9 : $tType,X10 : list(product_prod(X9,X6)),X11 : X6] : (X7 = X8 => aa(X6,option(X6),some(X6),X11) = iG1006(X6,X9,X7,X8,X10,X11))),
% 8.48/2.15    inference(rectify,[],[f19201])).
% 8.48/2.15  tff(f19201,plain,(
% 8.48/2.15    ! [X0 : $tType,X5 : X1,X2 : X1,X1 : $tType,X4 : list(product_prod(X1,X0)),X3 : X0] : (~X2 = X5 => aa(X1,option(X0),map_of(X1,X0,X4),X5) = iG1006(X0,X1,X5,X2,X4,X3)) & ! [X0 : $tType,X5 : X1,X2 : X1,X1 : $tType,X4 : list(product_prod(X1,X0)),X3 : X0] : (X2 = X5 => aa(X0,option(X0),some(X0),X3) = iG1006(X0,X1,X5,X2,X4,X3))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG1006])])).
% 8.48/2.15  tff(f43751,plain,(
% 8.48/2.15    ( ! [X0 : $tType,X3 : $tType,X2 : X3,X1 : X3,X4 : list(product_prod(X3,X0)),X5 : X0] : (aa(X3,option(X0),map_of(X3,X0,X4),X1) = iG1006(X0,X3,X1,X2,X4,X5) | X1 = X2) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25875])).
% 8.48/2.15  tff(f43748,plain,(
% 8.48/2.15    ( ! [X2 : nat,X3 : nat] : (iG1008(X2,X3) = X2 | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25874])).
% 8.48/2.15  tff(f25874,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : (iG1008(X0,X1) = X1 | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) & ! [X2 : nat,X3 : nat] : (iG1008(X2,X3) = X2 | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)))),
% 8.48/2.15    inference(ennf_transformation,[],[f19673])).
% 8.48/2.15  tff(f19673,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) => iG1008(X0,X1) = X1) & ! [X2 : nat,X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)) => iG1008(X2,X3) = X2)),
% 8.48/2.15    inference(flattening,[],[f19672])).
% 8.48/2.15  tff(f19672,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) => iG1008(X0,X1) = X1) & ! [X2 : nat,X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)) => iG1008(X2,X3) = X2)),
% 8.48/2.15    inference(rectify,[],[f19204])).
% 8.48/2.15  tff(f19204,plain,(
% 8.48/2.15    ! [X0 : nat,X5 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),X0)) => iG1008(X0,X5) = X5) & ! [X0 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),X0)) => iG1008(X0,X5) = X0)),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG1008])])).
% 8.48/2.15  tff(f43749,plain,(
% 8.48/2.15    ( ! [X0 : nat,X1 : nat] : (iG1008(X0,X1) = X1 | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25874])).
% 8.48/2.15  tff(f43747,plain,(
% 8.48/2.15    ( ! [X0 : nat,X1 : nat] : (lG1007(X0,X1) = iG1008(X1,X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f19671])).
% 8.48/2.15  tff(f19671,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : lG1007(X0,X1) = iG1008(X1,X0)),
% 8.48/2.15    inference(rectify,[],[f19205])).
% 8.48/2.15  tff(f19205,plain,(
% 8.48/2.15    ! [X5 : nat,X0 : nat] : iG1008(X0,X5) = lG1007(X5,X0)),
% 8.48/2.15    introduced(fool_let_definition,[new_symbols(definition,[lG1007])])).
% 8.48/2.15  tff(f43746,plain,(
% 8.48/2.15    ( ! [X2 : nat,X0 : nat,X1 : nat] : (vEBT_VEBT_high(lG1007(X0,X1),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG1009(X0,X1,X2)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f19670])).
% 8.48/2.15  tff(f19670,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : nat] : vEBT_VEBT_high(lG1007(X0,X1),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG1009(X0,X1,X2)),
% 8.48/2.15    inference(rectify,[],[f19206])).
% 8.48/2.15  tff(f19206,plain,(
% 8.48/2.15    ! [X5 : nat,X0 : nat,X2 : nat] : vEBT_VEBT_high(lG1007(X5,X0),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG1009(X5,X0,X2)),
% 8.48/2.15    introduced(fool_let_definition,[new_symbols(definition,[lG1009])])).
% 8.48/2.15  tff(f43744,plain,(
% 8.48/2.15    ( ! [X2 : nat,X3 : nat] : (iG1010(X2,X3) = X3 | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25873])).
% 8.48/2.15  tff(f25873,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : (iG1010(X0,X1) = X0 | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) & ! [X2 : nat,X3 : nat] : (iG1010(X2,X3) = X3 | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)))),
% 8.48/2.15    inference(ennf_transformation,[],[f19669])).
% 8.48/2.15  tff(f19669,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) => iG1010(X0,X1) = X0) & ! [X2 : nat,X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)) => iG1010(X2,X3) = X3)),
% 8.48/2.15    inference(flattening,[],[f19668])).
% 8.48/2.15  tff(f19668,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) => iG1010(X0,X1) = X0) & ! [X2 : nat,X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)) => iG1010(X2,X3) = X3)),
% 8.48/2.15    inference(rectify,[],[f19207])).
% 8.48/2.15  tff(f19207,plain,(
% 8.48/2.15    ! [X0 : nat,X5 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),X0)) => iG1010(X0,X5) = X0) & ! [X0 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),X0)) => iG1010(X0,X5) = X5)),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG1010])])).
% 8.48/2.15  tff(f43745,plain,(
% 8.48/2.15    ( ! [X0 : nat,X1 : nat] : (iG1010(X0,X1) = X0 | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25873])).
% 8.48/2.15  tff(f43742,plain,(
% 8.48/2.15    ( ! [X8 : list(vEBT_VEBT),X6 : nat,X9 : vEBT_VEBT,X7 : nat,X5 : nat] : (vEBT_vebt_insert(X9,lG1009(X7,X6,X5)) = iG1011(X5,X6,X7,X8,X9) | ~vEBT_VEBT_minNull(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X8),lG1009(X7,X6,X5)))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25872])).
% 8.48/2.15  tff(f25872,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT),X4 : vEBT_VEBT] : (iG1011(X0,X1,X2,X3,X4) = X4 | vEBT_VEBT_minNull(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG1009(X2,X1,X0)))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : list(vEBT_VEBT),X9 : vEBT_VEBT] : (vEBT_vebt_insert(X9,lG1009(X7,X6,X5)) = iG1011(X5,X6,X7,X8,X9) | ~vEBT_VEBT_minNull(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X8),lG1009(X7,X6,X5))))),
% 8.48/2.15    inference(ennf_transformation,[],[f19667])).
% 8.48/2.15  tff(f19667,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT),X4 : vEBT_VEBT] : (~vEBT_VEBT_minNull(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG1009(X2,X1,X0))) => iG1011(X0,X1,X2,X3,X4) = X4) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : list(vEBT_VEBT),X9 : vEBT_VEBT] : (vEBT_VEBT_minNull(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X8),lG1009(X7,X6,X5))) => vEBT_vebt_insert(X9,lG1009(X7,X6,X5)) = iG1011(X5,X6,X7,X8,X9))),
% 8.48/2.15    inference(flattening,[],[f19666])).
% 8.48/2.15  tff(f19666,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT),X4 : vEBT_VEBT] : (~vEBT_VEBT_minNull(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG1009(X2,X1,X0))) => iG1011(X0,X1,X2,X3,X4) = X4) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : list(vEBT_VEBT),X9 : vEBT_VEBT] : (vEBT_VEBT_minNull(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X8),lG1009(X7,X6,X5))) => vEBT_vebt_insert(X9,lG1009(X7,X6,X5)) = iG1011(X5,X6,X7,X8,X9))),
% 8.48/2.15    inference(rectify,[],[f19208])).
% 8.48/2.15  tff(f19208,plain,(
% 8.48/2.15    ! [X2 : nat,X0 : nat,X5 : nat,X3 : list(vEBT_VEBT),X4 : vEBT_VEBT] : (~vEBT_VEBT_minNull(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG1009(X5,X0,X2))) => iG1011(X2,X0,X5,X3,X4) = X4) & ! [X2 : nat,X0 : nat,X5 : nat,X3 : list(vEBT_VEBT),X4 : vEBT_VEBT] : (vEBT_VEBT_minNull(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG1009(X5,X0,X2))) => vEBT_vebt_insert(X4,lG1009(X5,X0,X2)) = iG1011(X2,X0,X5,X3,X4))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG1011])])).
% 8.48/2.15  tff(f43743,plain,(
% 8.48/2.15    ( ! [X2 : nat,X3 : list(vEBT_VEBT),X0 : nat,X1 : nat,X4 : vEBT_VEBT] : (iG1011(X0,X1,X2,X3,X4) = X4 | vEBT_VEBT_minNull(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG1009(X2,X1,X0)))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25872])).
% 8.48/2.15  tff(f43738,plain,(
% 8.48/2.15    ( ! [X10 : nat,X11 : vEBT_VEBT,X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat] : (vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),iG1010(X8,X6)),aa(nat,nat,aa(nat,fun(nat,nat),ord_max(nat),lG1007(X6,X8)),X7))),aa(nat,nat,suc,aa(nat,nat,suc,X10)),list_update(vEBT_VEBT,X9,lG1009(X6,X8,X10),vEBT_vebt_insert(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X9),lG1009(X6,X8,X10)),vEBT_VEBT_low(lG1007(X6,X8),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X10)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),iG1011(X10,X8,X6,X9,X11)) = iG1012(X6,X7,X8,X9,X10,X11) | X6 = X7 | X6 = X8 | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1009(X6,X8,X10)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X9)))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25871])).
% 8.48/2.15  tff(f25871,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT),X4 : nat,X5 : vEBT_VEBT] : (vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X2),X1)),aa(nat,nat,suc,aa(nat,nat,suc,X4)),X3,X5) = iG1012(X0,X1,X2,X3,X4,X5) | (X0 != X1 & X0 != X2 & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1009(X0,X2,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))) & ! [X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT),X10 : nat,X11 : vEBT_VEBT] : (vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),iG1010(X8,X6)),aa(nat,nat,aa(nat,fun(nat,nat),ord_max(nat),lG1007(X6,X8)),X7))),aa(nat,nat,suc,aa(nat,nat,suc,X10)),list_update(vEBT_VEBT,X9,lG1009(X6,X8,X10),vEBT_vebt_insert(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X9),lG1009(X6,X8,X10)),vEBT_VEBT_low(lG1007(X6,X8),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X10)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),iG1011(X10,X8,X6,X9,X11)) = iG1012(X6,X7,X8,X9,X10,X11) | X6 = X7 | X6 = X8 | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1009(X6,X8,X10)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X9))))),
% 8.48/2.15    inference(flattening,[],[f25870])).
% 8.48/2.15  tff(f25870,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT),X4 : nat,X5 : vEBT_VEBT] : (vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X2),X1)),aa(nat,nat,suc,aa(nat,nat,suc,X4)),X3,X5) = iG1012(X0,X1,X2,X3,X4,X5) | ((X0 != X1 & X0 != X2) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1009(X0,X2,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))) & ! [X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT),X10 : nat,X11 : vEBT_VEBT] : (vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),iG1010(X8,X6)),aa(nat,nat,aa(nat,fun(nat,nat),ord_max(nat),lG1007(X6,X8)),X7))),aa(nat,nat,suc,aa(nat,nat,suc,X10)),list_update(vEBT_VEBT,X9,lG1009(X6,X8,X10),vEBT_vebt_insert(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X9),lG1009(X6,X8,X10)),vEBT_VEBT_low(lG1007(X6,X8),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X10)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),iG1011(X10,X8,X6,X9,X11)) = iG1012(X6,X7,X8,X9,X10,X11) | ((X6 = X7 | X6 = X8) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1009(X6,X8,X10)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X9)))))),
% 8.48/2.15    inference(ennf_transformation,[],[f19665])).
% 8.48/2.15  tff(f19665,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT),X4 : nat,X5 : vEBT_VEBT] : (~(~(X0 = X1 | X0 = X2) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1009(X0,X2,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3)))) => vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X2),X1)),aa(nat,nat,suc,aa(nat,nat,suc,X4)),X3,X5) = iG1012(X0,X1,X2,X3,X4,X5)) & ! [X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT),X10 : nat,X11 : vEBT_VEBT] : ((~(X6 = X7 | X6 = X8) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1009(X6,X8,X10)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X9)))) => vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),iG1010(X8,X6)),aa(nat,nat,aa(nat,fun(nat,nat),ord_max(nat),lG1007(X6,X8)),X7))),aa(nat,nat,suc,aa(nat,nat,suc,X10)),list_update(vEBT_VEBT,X9,lG1009(X6,X8,X10),vEBT_vebt_insert(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X9),lG1009(X6,X8,X10)),vEBT_VEBT_low(lG1007(X6,X8),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X10)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),iG1011(X10,X8,X6,X9,X11)) = iG1012(X6,X7,X8,X9,X10,X11))),
% 8.48/2.15    inference(rectify,[],[f19209])).
% 8.48/2.15  tff(f19209,plain,(
% 8.48/2.15    ! [X5 : nat,X1 : nat,X0 : nat,X3 : list(vEBT_VEBT),X2 : nat,X4 : vEBT_VEBT] : (~(~(X1 = X5 | X0 = X5) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1009(X5,X0,X2)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3)))) => vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X0),X1)),aa(nat,nat,suc,aa(nat,nat,suc,X2)),X3,X4) = iG1012(X5,X1,X0,X3,X2,X4)) & ! [X5 : nat,X1 : nat,X0 : nat,X3 : list(vEBT_VEBT),X2 : nat,X4 : vEBT_VEBT] : ((~(X1 = X5 | X0 = X5) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1009(X5,X0,X2)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3)))) => vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),iG1010(X0,X5)),aa(nat,nat,aa(nat,fun(nat,nat),ord_max(nat),lG1007(X5,X0)),X1))),aa(nat,nat,suc,aa(nat,nat,suc,X2)),list_update(vEBT_VEBT,X3,lG1009(X5,X0,X2),vEBT_vebt_insert(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG1009(X5,X0,X2)),vEBT_VEBT_low(lG1007(X5,X0),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),iG1011(X2,X0,X5,X3,X4)) = iG1012(X5,X1,X0,X3,X2,X4))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG1012])])).
% 8.48/2.15  tff(f43739,plain,(
% 8.48/2.15    ( ! [X2 : nat,X3 : list(vEBT_VEBT),X0 : nat,X1 : nat,X4 : nat,X5 : vEBT_VEBT] : (vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X2),X1)),aa(nat,nat,suc,aa(nat,nat,suc,X4)),X3,X5) = iG1012(X0,X1,X2,X3,X4,X5) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1009(X0,X2,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3)))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25871])).
% 8.48/2.15  tff(f61095,plain,(
% 8.48/2.15    ( ! [X2 : nat,X3 : list(vEBT_VEBT),X1 : nat,X4 : nat,X5 : vEBT_VEBT] : (vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X2),X1)),aa(nat,nat,suc,aa(nat,nat,suc,X4)),X3,X5) = iG1012(X2,X1,X2,X3,X4,X5)) )),
% 8.48/2.15    inference(equality_resolution,[],[f43740])).
% 8.48/2.15  tff(f43740,plain,(
% 8.48/2.15    ( ! [X2 : nat,X3 : list(vEBT_VEBT),X0 : nat,X1 : nat,X4 : nat,X5 : vEBT_VEBT] : (vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X2),X1)),aa(nat,nat,suc,aa(nat,nat,suc,X4)),X3,X5) = iG1012(X0,X1,X2,X3,X4,X5) | X0 != X2) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25871])).
% 8.48/2.15  tff(f61094,plain,(
% 8.48/2.15    ( ! [X2 : nat,X3 : list(vEBT_VEBT),X1 : nat,X4 : nat,X5 : vEBT_VEBT] : (vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X2),X1)),aa(nat,nat,suc,aa(nat,nat,suc,X4)),X3,X5) = iG1012(X1,X1,X2,X3,X4,X5)) )),
% 8.48/2.15    inference(equality_resolution,[],[f43741])).
% 8.48/2.15  tff(f43741,plain,(
% 8.48/2.15    ( ! [X2 : nat,X3 : list(vEBT_VEBT),X0 : nat,X1 : nat,X4 : nat,X5 : vEBT_VEBT] : (vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X2),X1)),aa(nat,nat,suc,aa(nat,nat,suc,X4)),X3,X5) = iG1012(X0,X1,X2,X3,X4,X5) | X0 != X1) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25871])).
% 8.48/2.15  tff(f43737,plain,(
% 8.48/2.15    ( ! [X0 : nat,X1 : nat] : (vEBT_VEBT_low(X0,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X1)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG1013(X0,X1)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f19664])).
% 8.48/2.15  tff(f19664,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : vEBT_VEBT_low(X0,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X1)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG1013(X0,X1)),
% 8.48/2.15    inference(rectify,[],[f19212])).
% 8.48/2.15  tff(f19212,plain,(
% 8.48/2.15    ! [X5 : nat,X2 : nat] : vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG1013(X5,X2)),
% 8.48/2.15    introduced(fool_let_definition,[new_symbols(definition,[lG1013])])).
% 8.48/2.15  tff(f43736,plain,(
% 8.48/2.15    ( ! [X0 : nat,X1 : nat] : (vEBT_VEBT_high(X0,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X1)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG1014(X0,X1)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f19663])).
% 8.48/2.15  tff(f19663,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : vEBT_VEBT_high(X0,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X1)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG1014(X0,X1)),
% 8.48/2.15    inference(rectify,[],[f19213])).
% 8.48/2.15  tff(f19213,plain,(
% 8.48/2.15    ! [X5 : nat,X2 : nat] : vEBT_VEBT_high(X5,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG1014(X5,X2)),
% 8.48/2.15    introduced(fool_let_definition,[new_symbols(definition,[lG1014])])).
% 8.48/2.15  tff(f43735,plain,(
% 8.48/2.15    ( ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X0),lG1014(X1,X2))) = lG1015(X0,X1,X2)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f19662])).
% 8.48/2.15  tff(f19662,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X0),lG1014(X1,X2))) = lG1015(X0,X1,X2)),
% 8.48/2.15    inference(rectify,[],[f19214])).
% 8.48/2.15  tff(f19214,plain,(
% 8.48/2.15    ! [X3 : list(vEBT_VEBT),X5 : nat,X2 : nat] : vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG1014(X5,X2))) = lG1015(X3,X5,X2)),
% 8.48/2.15    introduced(fool_let_definition,[new_symbols(definition,[lG1015])])).
% 8.48/2.15  tff(f43734,plain,(
% 8.48/2.15    ( ! [X2 : nat,X0 : vEBT_VEBT,X1 : nat] : (vEBT_vebt_pred(X0,lG1014(X1,X2)) = lG1016(X0,X1,X2)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f19661])).
% 8.48/2.15  tff(f19661,plain,(
% 8.48/2.15    ! [X0 : vEBT_VEBT,X1 : nat,X2 : nat] : vEBT_vebt_pred(X0,lG1014(X1,X2)) = lG1016(X0,X1,X2)),
% 8.48/2.15    inference(rectify,[],[f19215])).
% 8.48/2.15  tff(f19215,plain,(
% 8.48/2.15    ! [X4 : vEBT_VEBT,X5 : nat,X2 : nat] : vEBT_vebt_pred(X4,lG1014(X5,X2)) = lG1016(X4,X5,X2)),
% 8.48/2.15    introduced(fool_let_definition,[new_symbols(definition,[lG1016])])).
% 8.48/2.15  tff(f43732,plain,(
% 8.48/2.15    ( ! [X2 : nat,X3 : nat] : (aa(nat,option(nat),some(nat),X3) = iG1017(X2,X3) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25869])).
% 8.48/2.15  tff(f25869,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : (none(nat) = iG1017(X0,X1) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) & ! [X2 : nat,X3 : nat] : (aa(nat,option(nat),some(nat),X3) = iG1017(X2,X3) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)))),
% 8.48/2.15    inference(ennf_transformation,[],[f19660])).
% 8.48/2.15  tff(f19660,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) => none(nat) = iG1017(X0,X1)) & ! [X2 : nat,X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)) => aa(nat,option(nat),some(nat),X3) = iG1017(X2,X3))),
% 8.48/2.15    inference(flattening,[],[f19659])).
% 8.48/2.15  tff(f19659,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) => none(nat) = iG1017(X0,X1)) & ! [X2 : nat,X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)) => aa(nat,option(nat),some(nat),X3) = iG1017(X2,X3))),
% 8.48/2.15    inference(rectify,[],[f19216])).
% 8.48/2.15  tff(f19216,plain,(
% 8.48/2.15    ! [X5 : nat,X0 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X0),X5)) => none(nat) = iG1017(X5,X0)) & ! [X5 : nat,X0 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X0),X5)) => aa(nat,option(nat),some(nat),X0) = iG1017(X5,X0))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG1017])])).
% 8.48/2.15  tff(f43733,plain,(
% 8.48/2.15    ( ! [X0 : nat,X1 : nat] : (none(nat) = iG1017(X0,X1) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25869])).
% 8.48/2.15  tff(f43730,plain,(
% 8.48/2.15    ( ! [X8 : list(vEBT_VEBT),X6 : nat,X9 : nat,X7 : vEBT_VEBT,X5 : nat] : (iG1017(X6,X9) = iG1018(X5,X6,X7,X8,X9) | none(nat) != lG1016(X7,X6,X5)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25868])).
% 8.48/2.15  tff(f25868,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X4 : nat] : (aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_add,aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_mul,aa(nat,option(nat),some(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X0)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),lG1016(X2,X1,X0))),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),aa(option(nat),nat,the2(nat),lG1016(X2,X1,X0))))) = iG1018(X0,X1,X2,X3,X4) | none(nat) = lG1016(X2,X1,X0)) & ! [X5 : nat,X6 : nat,X7 : vEBT_VEBT,X8 : list(vEBT_VEBT),X9 : nat] : (iG1017(X6,X9) = iG1018(X5,X6,X7,X8,X9) | none(nat) != lG1016(X7,X6,X5))),
% 8.48/2.15    inference(ennf_transformation,[],[f19658])).
% 8.48/2.15  tff(f19658,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X4 : nat] : (none(nat) != lG1016(X2,X1,X0) => aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_add,aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_mul,aa(nat,option(nat),some(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X0)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),lG1016(X2,X1,X0))),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),aa(option(nat),nat,the2(nat),lG1016(X2,X1,X0))))) = iG1018(X0,X1,X2,X3,X4)) & ! [X5 : nat,X6 : nat,X7 : vEBT_VEBT,X8 : list(vEBT_VEBT),X9 : nat] : (none(nat) = lG1016(X7,X6,X5) => iG1017(X6,X9) = iG1018(X5,X6,X7,X8,X9))),
% 8.48/2.15    inference(flattening,[],[f19657])).
% 8.48/2.15  tff(f19657,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X4 : nat] : (~none(nat) = lG1016(X2,X1,X0) => aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_add,aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_mul,aa(nat,option(nat),some(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X0)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),lG1016(X2,X1,X0))),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),aa(option(nat),nat,the2(nat),lG1016(X2,X1,X0))))) = iG1018(X0,X1,X2,X3,X4)) & ! [X5 : nat,X6 : nat,X7 : vEBT_VEBT,X8 : list(vEBT_VEBT),X9 : nat] : (none(nat) = lG1016(X7,X6,X5) => iG1017(X6,X9) = iG1018(X5,X6,X7,X8,X9))),
% 8.48/2.15    inference(rectify,[],[f19217])).
% 8.48/2.15  tff(f19217,plain,(
% 8.48/2.15    ! [X2 : nat,X5 : nat,X4 : vEBT_VEBT,X3 : list(vEBT_VEBT),X0 : nat] : (~none(nat) = lG1016(X4,X5,X2) => aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_add,aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_mul,aa(nat,option(nat),some(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),lG1016(X4,X5,X2))),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),aa(option(nat),nat,the2(nat),lG1016(X4,X5,X2))))) = iG1018(X2,X5,X4,X3,X0)) & ! [X2 : nat,X5 : nat,X4 : vEBT_VEBT,X3 : list(vEBT_VEBT),X0 : nat] : (none(nat) = lG1016(X4,X5,X2) => iG1017(X5,X0) = iG1018(X2,X5,X4,X3,X0))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG1018])])).
% 8.48/2.15  tff(f43731,plain,(
% 8.48/2.15    ( ! [X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X0 : nat,X1 : nat,X4 : nat] : (aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_add,aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_mul,aa(nat,option(nat),some(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X0)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),lG1016(X2,X1,X0))),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),aa(option(nat),nat,the2(nat),lG1016(X2,X1,X0))))) = iG1018(X0,X1,X2,X3,X4) | none(nat) = lG1016(X2,X1,X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25868])).
% 8.48/2.15  tff(f43727,plain,(
% 8.48/2.15    ( ! [X8 : vEBT_VEBT,X6 : nat,X9 : nat,X7 : list(vEBT_VEBT),X5 : nat] : (aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_add,aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_mul,aa(nat,option(nat),some(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X5)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(nat,option(nat),some(nat),lG1014(X6,X5)))),vEBT_vebt_pred(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X7),lG1014(X6,X5)),lG1013(X6,X5))) = iG1019(X5,X6,X7,X8,X9) | ~vEBT_VEBT_greater(aa(nat,option(nat),some(nat),lG1013(X6,X5)),lG1015(X7,X6,X5)) | none(nat) = lG1015(X7,X6,X5)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25867])).
% 8.48/2.15  tff(f25867,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X4 : nat] : (iG1018(X0,X1,X3,X2,X4) = iG1019(X0,X1,X2,X3,X4) | (vEBT_VEBT_greater(aa(nat,option(nat),some(nat),lG1013(X1,X0)),lG1015(X2,X1,X0)) & none(nat) != lG1015(X2,X1,X0))) & ! [X5 : nat,X6 : nat,X7 : list(vEBT_VEBT),X8 : vEBT_VEBT,X9 : nat] : (aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_add,aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_mul,aa(nat,option(nat),some(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X5)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(nat,option(nat),some(nat),lG1014(X6,X5)))),vEBT_vebt_pred(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X7),lG1014(X6,X5)),lG1013(X6,X5))) = iG1019(X5,X6,X7,X8,X9) | ~vEBT_VEBT_greater(aa(nat,option(nat),some(nat),lG1013(X6,X5)),lG1015(X7,X6,X5)) | none(nat) = lG1015(X7,X6,X5))),
% 8.48/2.15    inference(flattening,[],[f25866])).
% 8.48/2.15  tff(f25866,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X4 : nat] : (iG1018(X0,X1,X3,X2,X4) = iG1019(X0,X1,X2,X3,X4) | (vEBT_VEBT_greater(aa(nat,option(nat),some(nat),lG1013(X1,X0)),lG1015(X2,X1,X0)) & none(nat) != lG1015(X2,X1,X0))) & ! [X5 : nat,X6 : nat,X7 : list(vEBT_VEBT),X8 : vEBT_VEBT,X9 : nat] : (aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_add,aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_mul,aa(nat,option(nat),some(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X5)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(nat,option(nat),some(nat),lG1014(X6,X5)))),vEBT_vebt_pred(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X7),lG1014(X6,X5)),lG1013(X6,X5))) = iG1019(X5,X6,X7,X8,X9) | (~vEBT_VEBT_greater(aa(nat,option(nat),some(nat),lG1013(X6,X5)),lG1015(X7,X6,X5)) | none(nat) = lG1015(X7,X6,X5)))),
% 8.48/2.15    inference(ennf_transformation,[],[f19656])).
% 8.48/2.15  tff(f19656,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X4 : nat] : (~(vEBT_VEBT_greater(aa(nat,option(nat),some(nat),lG1013(X1,X0)),lG1015(X2,X1,X0)) & none(nat) != lG1015(X2,X1,X0)) => iG1018(X0,X1,X3,X2,X4) = iG1019(X0,X1,X2,X3,X4)) & ! [X5 : nat,X6 : nat,X7 : list(vEBT_VEBT),X8 : vEBT_VEBT,X9 : nat] : ((vEBT_VEBT_greater(aa(nat,option(nat),some(nat),lG1013(X6,X5)),lG1015(X7,X6,X5)) & none(nat) != lG1015(X7,X6,X5)) => aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_add,aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_mul,aa(nat,option(nat),some(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X5)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(nat,option(nat),some(nat),lG1014(X6,X5)))),vEBT_vebt_pred(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X7),lG1014(X6,X5)),lG1013(X6,X5))) = iG1019(X5,X6,X7,X8,X9))),
% 8.48/2.15    inference(rectify,[],[f19218])).
% 8.48/2.15  tff(f19218,plain,(
% 8.48/2.15    ! [X2 : nat,X5 : nat,X3 : list(vEBT_VEBT),X4 : vEBT_VEBT,X0 : nat] : (~(vEBT_VEBT_greater(aa(nat,option(nat),some(nat),lG1013(X5,X2)),lG1015(X3,X5,X2)) & none(nat) != lG1015(X3,X5,X2)) => iG1018(X2,X5,X4,X3,X0) = iG1019(X2,X5,X3,X4,X0)) & ! [X2 : nat,X5 : nat,X3 : list(vEBT_VEBT),X4 : vEBT_VEBT,X0 : nat] : ((vEBT_VEBT_greater(aa(nat,option(nat),some(nat),lG1013(X5,X2)),lG1015(X3,X5,X2)) & none(nat) != lG1015(X3,X5,X2)) => aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_add,aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_mul,aa(nat,option(nat),some(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(nat,option(nat),some(nat),lG1014(X5,X2)))),vEBT_vebt_pred(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG1014(X5,X2)),lG1013(X5,X2))) = iG1019(X2,X5,X3,X4,X0))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG1019])])).
% 8.48/2.15  tff(f43728,plain,(
% 8.48/2.15    ( ! [X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X0 : nat,X1 : nat,X4 : nat] : (iG1018(X0,X1,X3,X2,X4) = iG1019(X0,X1,X2,X3,X4) | none(nat) != lG1015(X2,X1,X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25867])).
% 8.48/2.15  tff(f43729,plain,(
% 8.48/2.15    ( ! [X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X0 : nat,X1 : nat,X4 : nat] : (iG1018(X0,X1,X3,X2,X4) = iG1019(X0,X1,X2,X3,X4) | vEBT_VEBT_greater(aa(nat,option(nat),some(nat),lG1013(X1,X0)),lG1015(X2,X1,X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25867])).
% 8.48/2.15  tff(f43725,plain,(
% 8.48/2.15    ( ! [X8 : vEBT_VEBT,X6 : nat,X9 : nat,X7 : nat,X5 : list(vEBT_VEBT)] : (iG1019(X6,X7,X5,X8,X9) = iG1020(X5,X6,X7,X8,X9) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1014(X7,X6)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X5)))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25865])).
% 8.48/2.15  tff(f25865,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat,X3 : vEBT_VEBT,X4 : nat] : (none(nat) = iG1020(X0,X1,X2,X3,X4) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1014(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) & ! [X5 : list(vEBT_VEBT),X6 : nat,X7 : nat,X8 : vEBT_VEBT,X9 : nat] : (iG1019(X6,X7,X5,X8,X9) = iG1020(X5,X6,X7,X8,X9) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1014(X7,X6)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X5))))),
% 8.48/2.15    inference(ennf_transformation,[],[f19655])).
% 8.48/2.15  tff(f19655,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat,X3 : vEBT_VEBT,X4 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1014(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => none(nat) = iG1020(X0,X1,X2,X3,X4)) & ! [X5 : list(vEBT_VEBT),X6 : nat,X7 : nat,X8 : vEBT_VEBT,X9 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1014(X7,X6)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X5))) => iG1019(X6,X7,X5,X8,X9) = iG1020(X5,X6,X7,X8,X9))),
% 8.48/2.15    inference(flattening,[],[f19654])).
% 8.48/2.15  tff(f19654,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat,X3 : vEBT_VEBT,X4 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1014(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => none(nat) = iG1020(X0,X1,X2,X3,X4)) & ! [X5 : list(vEBT_VEBT),X6 : nat,X7 : nat,X8 : vEBT_VEBT,X9 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1014(X7,X6)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X5))) => iG1019(X6,X7,X5,X8,X9) = iG1020(X5,X6,X7,X8,X9))),
% 8.48/2.15    inference(rectify,[],[f19219])).
% 8.48/2.15  tff(f19219,plain,(
% 8.48/2.15    ! [X3 : list(vEBT_VEBT),X2 : nat,X5 : nat,X4 : vEBT_VEBT,X0 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1014(X5,X2)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => none(nat) = iG1020(X3,X2,X5,X4,X0)) & ! [X3 : list(vEBT_VEBT),X2 : nat,X5 : nat,X4 : vEBT_VEBT,X0 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1014(X5,X2)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => iG1019(X2,X5,X3,X4,X0) = iG1020(X3,X2,X5,X4,X0))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG1020])])).
% 8.48/2.15  tff(f43726,plain,(
% 8.48/2.15    ( ! [X2 : nat,X3 : vEBT_VEBT,X0 : list(vEBT_VEBT),X1 : nat,X4 : nat] : (none(nat) = iG1020(X0,X1,X2,X3,X4) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1014(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25865])).
% 8.48/2.15  tff(f43723,plain,(
% 8.48/2.15    ( ! [X10 : vEBT_VEBT,X11 : nat,X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat] : (aa(nat,option(nat),some(nat),X7) = iG1021(X6,X7,X8,X9,X10,X11) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X7),X6))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25864])).
% 8.48/2.15  tff(f25864,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT),X4 : vEBT_VEBT,X5 : nat] : (iG1020(X3,X2,X0,X4,X5) = iG1021(X0,X1,X2,X3,X4,X5) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) & ! [X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT),X10 : vEBT_VEBT,X11 : nat] : (aa(nat,option(nat),some(nat),X7) = iG1021(X6,X7,X8,X9,X10,X11) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X7),X6)))),
% 8.48/2.15    inference(ennf_transformation,[],[f19653])).
% 8.48/2.15  tff(f19653,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT),X4 : vEBT_VEBT,X5 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) => iG1020(X3,X2,X0,X4,X5) = iG1021(X0,X1,X2,X3,X4,X5)) & ! [X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT),X10 : vEBT_VEBT,X11 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X7),X6)) => aa(nat,option(nat),some(nat),X7) = iG1021(X6,X7,X8,X9,X10,X11))),
% 8.48/2.15    inference(flattening,[],[f19652])).
% 8.48/2.15  tff(f19652,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT),X4 : vEBT_VEBT,X5 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) => iG1020(X3,X2,X0,X4,X5) = iG1021(X0,X1,X2,X3,X4,X5)) & ! [X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT),X10 : vEBT_VEBT,X11 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X7),X6)) => aa(nat,option(nat),some(nat),X7) = iG1021(X6,X7,X8,X9,X10,X11))),
% 8.48/2.15    inference(rectify,[],[f19220])).
% 8.48/2.15  tff(f19220,plain,(
% 8.48/2.15    ! [X5 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT),X4 : vEBT_VEBT,X0 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X5)) => iG1020(X3,X2,X5,X4,X0) = iG1021(X5,X1,X2,X3,X4,X0)) & ! [X5 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT),X4 : vEBT_VEBT,X0 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X5)) => aa(nat,option(nat),some(nat),X1) = iG1021(X5,X1,X2,X3,X4,X0))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG1021])])).
% 8.48/2.15  tff(f43724,plain,(
% 8.48/2.15    ( ! [X2 : nat,X3 : list(vEBT_VEBT),X0 : nat,X1 : nat,X4 : vEBT_VEBT,X5 : nat] : (iG1020(X3,X2,X0,X4,X5) = iG1021(X0,X1,X2,X3,X4,X5) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25864])).
% 8.48/2.15  tff(f43721,plain,(
% 8.48/2.15    ( ! [X5 : $tType,X8 : X5,X6 : nat,X9 : fun(nat,fun(X5,X5)),X7 : nat] : (iG1022(X5,X6,X7,X8,X9) = X8 | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X7),X6))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25863])).
% 8.48/2.15  tff(f25863,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : X0,X4 : fun(nat,fun(X0,X0))] : (set_fo6178422350223883121st_nat(X0,X4,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X1),one_one(nat)),X2,aa(X0,X0,aa(nat,fun(X0,X0),X4,X1),X3)) = iG1022(X0,X1,X2,X3,X4) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1))) & ! [X5 : $tType,X6 : nat,X7 : nat,X8 : X5,X9 : fun(nat,fun(X5,X5))] : (iG1022(X5,X6,X7,X8,X9) = X8 | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X7),X6)))),
% 8.48/2.15    inference(ennf_transformation,[],[f19651])).
% 8.48/2.15  tff(f19651,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : X0,X4 : fun(nat,fun(X0,X0))] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1)) => set_fo6178422350223883121st_nat(X0,X4,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X1),one_one(nat)),X2,aa(X0,X0,aa(nat,fun(X0,X0),X4,X1),X3)) = iG1022(X0,X1,X2,X3,X4)) & ! [X5 : $tType,X6 : nat,X7 : nat,X8 : X5,X9 : fun(nat,fun(X5,X5))] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X7),X6)) => iG1022(X5,X6,X7,X8,X9) = X8)),
% 8.48/2.15    inference(flattening,[],[f19650])).
% 8.48/2.15  tff(f19650,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : X0,X4 : fun(nat,fun(X0,X0))] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1)) => set_fo6178422350223883121st_nat(X0,X4,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X1),one_one(nat)),X2,aa(X0,X0,aa(nat,fun(X0,X0),X4,X1),X3)) = iG1022(X0,X1,X2,X3,X4)) & ! [X5 : $tType,X6 : nat,X7 : nat,X8 : X5,X9 : fun(nat,fun(X5,X5))] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X7),X6)) => iG1022(X5,X6,X7,X8,X9) = X8)),
% 8.48/2.15    inference(rectify,[],[f19225])).
% 8.48/2.15  tff(f19225,plain,(
% 8.48/2.15    ! [X0 : $tType,X2 : nat,X3 : nat,X4 : X0,X1 : fun(nat,fun(X0,X0))] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)) => set_fo6178422350223883121st_nat(X0,X1,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X2),one_one(nat)),X3,aa(X0,X0,aa(nat,fun(X0,X0),X1,X2),X4)) = iG1022(X0,X2,X3,X4,X1)) & ! [X0 : $tType,X2 : nat,X3 : nat,X4 : X0,X1 : fun(nat,fun(X0,X0))] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)) => iG1022(X0,X2,X3,X4,X1) = X4)),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG1022])])).
% 8.48/2.15  tff(f43722,plain,(
% 8.48/2.15    ( ! [X0 : $tType,X2 : nat,X3 : X0,X1 : nat,X4 : fun(nat,fun(X0,X0))] : (set_fo6178422350223883121st_nat(X0,X4,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X1),one_one(nat)),X2,aa(X0,X0,aa(nat,fun(X0,X0),X4,X1),X3)) = iG1022(X0,X1,X2,X3,X4) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25863])).
% 8.48/2.15  tff(f43719,plain,(
% 8.48/2.15    ( ! [X5 : $tType,X8 : X5,X6 : nat,X9 : fun(nat,fun(X5,X5)),X7 : nat] : (iG1023(X5,X6,X7,X8,X9) = X8 | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X7),X6))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25862])).
% 8.48/2.15  tff(f25862,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : X0,X4 : fun(nat,fun(X0,X0))] : (set_fo6178422350223883121st_nat(X0,X4,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X1),one_one(nat)),X2,aa(X0,X0,aa(nat,fun(X0,X0),X4,X1),X3)) = iG1023(X0,X1,X2,X3,X4) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1))) & ! [X5 : $tType,X6 : nat,X7 : nat,X8 : X5,X9 : fun(nat,fun(X5,X5))] : (iG1023(X5,X6,X7,X8,X9) = X8 | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X7),X6)))),
% 8.48/2.15    inference(ennf_transformation,[],[f19649])).
% 8.48/2.15  tff(f19649,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : X0,X4 : fun(nat,fun(X0,X0))] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1)) => set_fo6178422350223883121st_nat(X0,X4,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X1),one_one(nat)),X2,aa(X0,X0,aa(nat,fun(X0,X0),X4,X1),X3)) = iG1023(X0,X1,X2,X3,X4)) & ! [X5 : $tType,X6 : nat,X7 : nat,X8 : X5,X9 : fun(nat,fun(X5,X5))] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X7),X6)) => iG1023(X5,X6,X7,X8,X9) = X8)),
% 8.48/2.15    inference(flattening,[],[f19648])).
% 8.48/2.15  tff(f19648,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : nat,X2 : nat,X3 : X0,X4 : fun(nat,fun(X0,X0))] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1)) => set_fo6178422350223883121st_nat(X0,X4,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X1),one_one(nat)),X2,aa(X0,X0,aa(nat,fun(X0,X0),X4,X1),X3)) = iG1023(X0,X1,X2,X3,X4)) & ! [X5 : $tType,X6 : nat,X7 : nat,X8 : X5,X9 : fun(nat,fun(X5,X5))] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X7),X6)) => iG1023(X5,X6,X7,X8,X9) = X8)),
% 8.48/2.15    inference(rectify,[],[f19228])).
% 8.48/2.15  tff(f19228,plain,(
% 8.48/2.15    ! [X0 : $tType,X2 : nat,X3 : nat,X4 : X0,X1 : fun(nat,fun(X0,X0))] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)) => set_fo6178422350223883121st_nat(X0,X1,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X2),one_one(nat)),X3,aa(X0,X0,aa(nat,fun(X0,X0),X1,X2),X4)) = iG1023(X0,X2,X3,X4,X1)) & ! [X0 : $tType,X2 : nat,X3 : nat,X4 : X0,X1 : fun(nat,fun(X0,X0))] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)) => iG1023(X0,X2,X3,X4,X1) = X4)),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG1023])])).
% 8.48/2.15  tff(f43720,plain,(
% 8.48/2.15    ( ! [X0 : $tType,X2 : nat,X3 : X0,X1 : nat,X4 : fun(nat,fun(X0,X0))] : (set_fo6178422350223883121st_nat(X0,X4,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X1),one_one(nat)),X2,aa(X0,X0,aa(nat,fun(X0,X0),X4,X1),X3)) = iG1023(X0,X1,X2,X3,X4) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X2),X1))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25862])).
% 8.48/2.15  tff(f43718,plain,(
% 8.48/2.15    ( ! [X0 : nat,X1 : nat] : (vEBT_VEBT_low(X0,divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG1024(X0,X1)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f19647])).
% 8.48/2.15  tff(f19647,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : vEBT_VEBT_low(X0,divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG1024(X0,X1)),
% 8.48/2.15    inference(rectify,[],[f19283])).
% 8.48/2.15  tff(f19283,plain,(
% 8.48/2.15    ! [X1 : nat,X0 : nat] : vEBT_VEBT_low(X1,divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG1024(X1,X0)),
% 8.48/2.15    introduced(fool_let_definition,[new_symbols(definition,[lG1024])])).
% 8.48/2.15  tff(f43717,plain,(
% 8.48/2.15    ( ! [X0 : nat,X1 : nat] : (vEBT_VEBT_high(X0,divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG1025(X0,X1)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f19646])).
% 8.48/2.15  tff(f19646,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : vEBT_VEBT_high(X0,divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG1025(X0,X1)),
% 8.48/2.15    inference(rectify,[],[f19284])).
% 8.48/2.15  tff(f19284,plain,(
% 8.48/2.15    ! [X1 : nat,X0 : nat] : vEBT_VEBT_high(X1,divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG1025(X1,X0)),
% 8.48/2.15    introduced(fool_let_definition,[new_symbols(definition,[lG1025])])).
% 8.48/2.15  tff(f43716,plain,(
% 8.48/2.15    ( ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X0),lG1025(X1,X2))) = lG1026(X0,X1,X2)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f19645])).
% 8.48/2.15  tff(f19645,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X0),lG1025(X1,X2))) = lG1026(X0,X1,X2)),
% 8.48/2.15    inference(rectify,[],[f19285])).
% 8.48/2.15  tff(f19285,plain,(
% 8.48/2.15    ! [X4 : list(vEBT_VEBT),X1 : nat,X0 : nat] : vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X4),lG1025(X1,X0))) = lG1026(X4,X1,X0)),
% 8.48/2.15    introduced(fool_let_definition,[new_symbols(definition,[lG1026])])).
% 8.48/2.15  tff(f43715,plain,(
% 8.48/2.15    ( ! [X2 : nat,X0 : vEBT_VEBT,X1 : nat] : (vEBT_vebt_pred(X0,lG1025(X1,X2)) = lG1027(X0,X1,X2)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f19644])).
% 8.48/2.15  tff(f19644,plain,(
% 8.48/2.15    ! [X0 : vEBT_VEBT,X1 : nat,X2 : nat] : vEBT_vebt_pred(X0,lG1025(X1,X2)) = lG1027(X0,X1,X2)),
% 8.48/2.15    inference(rectify,[],[f19286])).
% 8.48/2.15  tff(f19286,plain,(
% 8.48/2.15    ! [X5 : vEBT_VEBT,X1 : nat,X0 : nat] : vEBT_vebt_pred(X5,lG1025(X1,X0)) = lG1027(X5,X1,X0)),
% 8.48/2.15    introduced(fool_let_definition,[new_symbols(definition,[lG1027])])).
% 8.48/2.15  tff(f43713,plain,(
% 8.48/2.15    ( ! [X2 : nat,X3 : nat] : (aa(nat,option(nat),some(nat),X3) = iG1028(X2,X3) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25861])).
% 8.48/2.15  tff(f25861,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : (none(nat) = iG1028(X0,X1) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) & ! [X2 : nat,X3 : nat] : (aa(nat,option(nat),some(nat),X3) = iG1028(X2,X3) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)))),
% 8.48/2.15    inference(ennf_transformation,[],[f19643])).
% 8.48/2.15  tff(f19643,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) => none(nat) = iG1028(X0,X1)) & ! [X2 : nat,X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)) => aa(nat,option(nat),some(nat),X3) = iG1028(X2,X3))),
% 8.48/2.15    inference(flattening,[],[f19642])).
% 8.48/2.15  tff(f19642,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) => none(nat) = iG1028(X0,X1)) & ! [X2 : nat,X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)) => aa(nat,option(nat),some(nat),X3) = iG1028(X2,X3))),
% 8.48/2.15    inference(rectify,[],[f19287])).
% 8.48/2.15  tff(f19287,plain,(
% 8.48/2.15    ! [X1 : nat,X3 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X1)) => none(nat) = iG1028(X1,X3)) & ! [X1 : nat,X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X1)) => aa(nat,option(nat),some(nat),X3) = iG1028(X1,X3))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG1028])])).
% 8.48/2.15  tff(f43714,plain,(
% 8.48/2.15    ( ! [X0 : nat,X1 : nat] : (none(nat) = iG1028(X0,X1) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25861])).
% 8.48/2.15  tff(f43711,plain,(
% 8.48/2.15    ( ! [X8 : list(vEBT_VEBT),X6 : nat,X9 : nat,X7 : vEBT_VEBT,X5 : nat] : (iG1028(X6,X9) = iG1029(X5,X6,X7,X8,X9) | none(nat) != lG1027(X7,X6,X5)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25860])).
% 8.48/2.15  tff(f25860,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X4 : nat] : (aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_add,aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_mul,aa(nat,option(nat),some(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),lG1027(X2,X1,X0))),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),aa(option(nat),nat,the2(nat),lG1027(X2,X1,X0))))) = iG1029(X0,X1,X2,X3,X4) | none(nat) = lG1027(X2,X1,X0)) & ! [X5 : nat,X6 : nat,X7 : vEBT_VEBT,X8 : list(vEBT_VEBT),X9 : nat] : (iG1028(X6,X9) = iG1029(X5,X6,X7,X8,X9) | none(nat) != lG1027(X7,X6,X5))),
% 8.48/2.15    inference(ennf_transformation,[],[f19641])).
% 8.48/2.15  tff(f19641,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X4 : nat] : (none(nat) != lG1027(X2,X1,X0) => aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_add,aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_mul,aa(nat,option(nat),some(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),lG1027(X2,X1,X0))),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),aa(option(nat),nat,the2(nat),lG1027(X2,X1,X0))))) = iG1029(X0,X1,X2,X3,X4)) & ! [X5 : nat,X6 : nat,X7 : vEBT_VEBT,X8 : list(vEBT_VEBT),X9 : nat] : (none(nat) = lG1027(X7,X6,X5) => iG1028(X6,X9) = iG1029(X5,X6,X7,X8,X9))),
% 8.48/2.15    inference(flattening,[],[f19640])).
% 8.48/2.15  tff(f19640,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X4 : nat] : (~none(nat) = lG1027(X2,X1,X0) => aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_add,aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_mul,aa(nat,option(nat),some(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),lG1027(X2,X1,X0))),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),aa(option(nat),nat,the2(nat),lG1027(X2,X1,X0))))) = iG1029(X0,X1,X2,X3,X4)) & ! [X5 : nat,X6 : nat,X7 : vEBT_VEBT,X8 : list(vEBT_VEBT),X9 : nat] : (none(nat) = lG1027(X7,X6,X5) => iG1028(X6,X9) = iG1029(X5,X6,X7,X8,X9))),
% 8.48/2.15    inference(rectify,[],[f19288])).
% 8.48/2.15  tff(f19288,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X5 : vEBT_VEBT,X4 : list(vEBT_VEBT),X3 : nat] : (~none(nat) = lG1027(X5,X1,X0) => aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_add,aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_mul,aa(nat,option(nat),some(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),lG1027(X5,X1,X0))),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X4),aa(option(nat),nat,the2(nat),lG1027(X5,X1,X0))))) = iG1029(X0,X1,X5,X4,X3)) & ! [X0 : nat,X1 : nat,X5 : vEBT_VEBT,X4 : list(vEBT_VEBT),X3 : nat] : (none(nat) = lG1027(X5,X1,X0) => iG1028(X1,X3) = iG1029(X0,X1,X5,X4,X3))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG1029])])).
% 8.48/2.15  tff(f43712,plain,(
% 8.48/2.15    ( ! [X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X0 : nat,X1 : nat,X4 : nat] : (aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_add,aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_mul,aa(nat,option(nat),some(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),lG1027(X2,X1,X0))),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),aa(option(nat),nat,the2(nat),lG1027(X2,X1,X0))))) = iG1029(X0,X1,X2,X3,X4) | none(nat) = lG1027(X2,X1,X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25860])).
% 8.48/2.15  tff(f43708,plain,(
% 8.48/2.15    ( ! [X8 : vEBT_VEBT,X6 : nat,X9 : nat,X7 : list(vEBT_VEBT),X5 : nat] : (aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_add,aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_mul,aa(nat,option(nat),some(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X5,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(nat,option(nat),some(nat),lG1025(X6,X5)))),vEBT_vebt_pred(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X7),lG1025(X6,X5)),lG1024(X6,X5))) = iG1030(X5,X6,X7,X8,X9) | ~vEBT_VEBT_greater(aa(nat,option(nat),some(nat),lG1024(X6,X5)),lG1026(X7,X6,X5)) | none(nat) = lG1026(X7,X6,X5)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25859])).
% 8.48/2.15  tff(f25859,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X4 : nat] : (iG1029(X0,X1,X3,X2,X4) = iG1030(X0,X1,X2,X3,X4) | (vEBT_VEBT_greater(aa(nat,option(nat),some(nat),lG1024(X1,X0)),lG1026(X2,X1,X0)) & none(nat) != lG1026(X2,X1,X0))) & ! [X5 : nat,X6 : nat,X7 : list(vEBT_VEBT),X8 : vEBT_VEBT,X9 : nat] : (aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_add,aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_mul,aa(nat,option(nat),some(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X5,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(nat,option(nat),some(nat),lG1025(X6,X5)))),vEBT_vebt_pred(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X7),lG1025(X6,X5)),lG1024(X6,X5))) = iG1030(X5,X6,X7,X8,X9) | ~vEBT_VEBT_greater(aa(nat,option(nat),some(nat),lG1024(X6,X5)),lG1026(X7,X6,X5)) | none(nat) = lG1026(X7,X6,X5))),
% 8.48/2.15    inference(flattening,[],[f25858])).
% 8.48/2.15  tff(f25858,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X4 : nat] : (iG1029(X0,X1,X3,X2,X4) = iG1030(X0,X1,X2,X3,X4) | (vEBT_VEBT_greater(aa(nat,option(nat),some(nat),lG1024(X1,X0)),lG1026(X2,X1,X0)) & none(nat) != lG1026(X2,X1,X0))) & ! [X5 : nat,X6 : nat,X7 : list(vEBT_VEBT),X8 : vEBT_VEBT,X9 : nat] : (aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_add,aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_mul,aa(nat,option(nat),some(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X5,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(nat,option(nat),some(nat),lG1025(X6,X5)))),vEBT_vebt_pred(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X7),lG1025(X6,X5)),lG1024(X6,X5))) = iG1030(X5,X6,X7,X8,X9) | (~vEBT_VEBT_greater(aa(nat,option(nat),some(nat),lG1024(X6,X5)),lG1026(X7,X6,X5)) | none(nat) = lG1026(X7,X6,X5)))),
% 8.48/2.15    inference(ennf_transformation,[],[f19639])).
% 8.48/2.15  tff(f19639,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X4 : nat] : (~(vEBT_VEBT_greater(aa(nat,option(nat),some(nat),lG1024(X1,X0)),lG1026(X2,X1,X0)) & none(nat) != lG1026(X2,X1,X0)) => iG1029(X0,X1,X3,X2,X4) = iG1030(X0,X1,X2,X3,X4)) & ! [X5 : nat,X6 : nat,X7 : list(vEBT_VEBT),X8 : vEBT_VEBT,X9 : nat] : ((vEBT_VEBT_greater(aa(nat,option(nat),some(nat),lG1024(X6,X5)),lG1026(X7,X6,X5)) & none(nat) != lG1026(X7,X6,X5)) => aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_add,aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_mul,aa(nat,option(nat),some(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X5,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(nat,option(nat),some(nat),lG1025(X6,X5)))),vEBT_vebt_pred(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X7),lG1025(X6,X5)),lG1024(X6,X5))) = iG1030(X5,X6,X7,X8,X9))),
% 8.48/2.15    inference(rectify,[],[f19289])).
% 8.48/2.15  tff(f19289,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X4 : list(vEBT_VEBT),X5 : vEBT_VEBT,X3 : nat] : (~(vEBT_VEBT_greater(aa(nat,option(nat),some(nat),lG1024(X1,X0)),lG1026(X4,X1,X0)) & none(nat) != lG1026(X4,X1,X0)) => iG1029(X0,X1,X5,X4,X3) = iG1030(X0,X1,X4,X5,X3)) & ! [X0 : nat,X1 : nat,X4 : list(vEBT_VEBT),X5 : vEBT_VEBT,X3 : nat] : ((vEBT_VEBT_greater(aa(nat,option(nat),some(nat),lG1024(X1,X0)),lG1026(X4,X1,X0)) & none(nat) != lG1026(X4,X1,X0)) => aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_add,aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_mul,aa(nat,option(nat),some(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(nat,option(nat),some(nat),lG1025(X1,X0)))),vEBT_vebt_pred(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X4),lG1025(X1,X0)),lG1024(X1,X0))) = iG1030(X0,X1,X4,X5,X3))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG1030])])).
% 8.48/2.15  tff(f43709,plain,(
% 8.48/2.15    ( ! [X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X0 : nat,X1 : nat,X4 : nat] : (iG1029(X0,X1,X3,X2,X4) = iG1030(X0,X1,X2,X3,X4) | none(nat) != lG1026(X2,X1,X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25859])).
% 8.48/2.15  tff(f43710,plain,(
% 8.48/2.15    ( ! [X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X0 : nat,X1 : nat,X4 : nat] : (iG1029(X0,X1,X3,X2,X4) = iG1030(X0,X1,X2,X3,X4) | vEBT_VEBT_greater(aa(nat,option(nat),some(nat),lG1024(X1,X0)),lG1026(X2,X1,X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25859])).
% 8.48/2.15  tff(f43706,plain,(
% 8.48/2.15    ( ! [X8 : vEBT_VEBT,X6 : nat,X9 : nat,X7 : nat,X5 : list(vEBT_VEBT)] : (iG1030(X6,X7,X5,X8,X9) = iG1031(X5,X6,X7,X8,X9) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1025(X7,X6)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X5)))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25857])).
% 8.48/2.15  tff(f25857,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat,X3 : vEBT_VEBT,X4 : nat] : (none(nat) = iG1031(X0,X1,X2,X3,X4) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1025(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) & ! [X5 : list(vEBT_VEBT),X6 : nat,X7 : nat,X8 : vEBT_VEBT,X9 : nat] : (iG1030(X6,X7,X5,X8,X9) = iG1031(X5,X6,X7,X8,X9) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1025(X7,X6)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X5))))),
% 8.48/2.15    inference(ennf_transformation,[],[f19638])).
% 8.48/2.15  tff(f19638,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat,X3 : vEBT_VEBT,X4 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1025(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => none(nat) = iG1031(X0,X1,X2,X3,X4)) & ! [X5 : list(vEBT_VEBT),X6 : nat,X7 : nat,X8 : vEBT_VEBT,X9 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1025(X7,X6)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X5))) => iG1030(X6,X7,X5,X8,X9) = iG1031(X5,X6,X7,X8,X9))),
% 8.48/2.15    inference(flattening,[],[f19637])).
% 8.48/2.15  tff(f19637,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat,X3 : vEBT_VEBT,X4 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1025(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => none(nat) = iG1031(X0,X1,X2,X3,X4)) & ! [X5 : list(vEBT_VEBT),X6 : nat,X7 : nat,X8 : vEBT_VEBT,X9 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1025(X7,X6)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X5))) => iG1030(X6,X7,X5,X8,X9) = iG1031(X5,X6,X7,X8,X9))),
% 8.48/2.15    inference(rectify,[],[f19290])).
% 8.48/2.15  tff(f19290,plain,(
% 8.48/2.15    ! [X4 : list(vEBT_VEBT),X0 : nat,X1 : nat,X5 : vEBT_VEBT,X3 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1025(X1,X0)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X4))) => none(nat) = iG1031(X4,X0,X1,X5,X3)) & ! [X4 : list(vEBT_VEBT),X0 : nat,X1 : nat,X5 : vEBT_VEBT,X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1025(X1,X0)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X4))) => iG1030(X0,X1,X4,X5,X3) = iG1031(X4,X0,X1,X5,X3))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG1031])])).
% 8.48/2.15  tff(f43707,plain,(
% 8.48/2.15    ( ! [X2 : nat,X3 : vEBT_VEBT,X0 : list(vEBT_VEBT),X1 : nat,X4 : nat] : (none(nat) = iG1031(X0,X1,X2,X3,X4) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1025(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25857])).
% 8.48/2.15  tff(f43705,plain,(
% 8.48/2.15    ( ! [X0 : nat,X1 : nat] : (vEBT_VEBT_low(X0,divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG1032(X0,X1)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f19636])).
% 8.48/2.15  tff(f19636,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : vEBT_VEBT_low(X0,divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG1032(X0,X1)),
% 8.48/2.15    inference(rectify,[],[f19295])).
% 8.48/2.15  tff(f19295,plain,(
% 8.48/2.15    ! [X1 : nat,X0 : nat] : vEBT_VEBT_low(X1,divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG1032(X1,X0)),
% 8.48/2.15    introduced(fool_let_definition,[new_symbols(definition,[lG1032])])).
% 8.48/2.15  tff(f43704,plain,(
% 8.48/2.15    ( ! [X0 : nat,X1 : nat] : (vEBT_VEBT_high(X0,divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG1033(X0,X1)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f19635])).
% 8.48/2.15  tff(f19635,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : vEBT_VEBT_high(X0,divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG1033(X0,X1)),
% 8.48/2.15    inference(rectify,[],[f19296])).
% 8.48/2.15  tff(f19296,plain,(
% 8.48/2.15    ! [X1 : nat,X0 : nat] : vEBT_VEBT_high(X1,divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG1033(X1,X0)),
% 8.48/2.15    introduced(fool_let_definition,[new_symbols(definition,[lG1033])])).
% 8.48/2.15  tff(f43703,plain,(
% 8.48/2.15    ( ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X0),lG1033(X1,X2))) = lG1034(X0,X1,X2)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f19634])).
% 8.48/2.15  tff(f19634,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X0),lG1033(X1,X2))) = lG1034(X0,X1,X2)),
% 8.48/2.15    inference(rectify,[],[f19297])).
% 8.48/2.15  tff(f19297,plain,(
% 8.48/2.15    ! [X3 : list(vEBT_VEBT),X1 : nat,X0 : nat] : vEBT_vebt_mint(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG1033(X1,X0))) = lG1034(X3,X1,X0)),
% 8.48/2.15    introduced(fool_let_definition,[new_symbols(definition,[lG1034])])).
% 8.48/2.15  tff(f43702,plain,(
% 8.48/2.15    ( ! [X2 : nat,X0 : vEBT_VEBT,X1 : nat] : (vEBT_vebt_pred(X0,lG1033(X1,X2)) = lG1035(X0,X1,X2)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f19633])).
% 8.48/2.15  tff(f19633,plain,(
% 8.48/2.15    ! [X0 : vEBT_VEBT,X1 : nat,X2 : nat] : vEBT_vebt_pred(X0,lG1033(X1,X2)) = lG1035(X0,X1,X2)),
% 8.48/2.15    inference(rectify,[],[f19298])).
% 8.48/2.15  tff(f19298,plain,(
% 8.48/2.15    ! [X5 : vEBT_VEBT,X1 : nat,X0 : nat] : vEBT_vebt_pred(X5,lG1033(X1,X0)) = lG1035(X5,X1,X0)),
% 8.48/2.15    introduced(fool_let_definition,[new_symbols(definition,[lG1035])])).
% 8.48/2.15  tff(f43700,plain,(
% 8.48/2.15    ( ! [X2 : nat,X3 : nat] : (aa(nat,option(nat),some(nat),X3) = iG1036(X2,X3) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25856])).
% 8.48/2.15  tff(f25856,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : (none(nat) = iG1036(X0,X1) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) & ! [X2 : nat,X3 : nat] : (aa(nat,option(nat),some(nat),X3) = iG1036(X2,X3) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)))),
% 8.48/2.15    inference(ennf_transformation,[],[f19632])).
% 8.48/2.15  tff(f19632,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) => none(nat) = iG1036(X0,X1)) & ! [X2 : nat,X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)) => aa(nat,option(nat),some(nat),X3) = iG1036(X2,X3))),
% 8.48/2.15    inference(flattening,[],[f19631])).
% 8.48/2.15  tff(f19631,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) => none(nat) = iG1036(X0,X1)) & ! [X2 : nat,X3 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),X2)) => aa(nat,option(nat),some(nat),X3) = iG1036(X2,X3))),
% 8.48/2.15    inference(rectify,[],[f19299])).
% 8.48/2.15  tff(f19299,plain,(
% 8.48/2.15    ! [X1 : nat,X4 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X4),X1)) => none(nat) = iG1036(X1,X4)) & ! [X1 : nat,X4 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X4),X1)) => aa(nat,option(nat),some(nat),X4) = iG1036(X1,X4))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG1036])])).
% 8.48/2.15  tff(f43701,plain,(
% 8.48/2.15    ( ! [X0 : nat,X1 : nat] : (none(nat) = iG1036(X0,X1) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25856])).
% 8.48/2.15  tff(f43698,plain,(
% 8.48/2.15    ( ! [X8 : list(vEBT_VEBT),X6 : nat,X9 : nat,X7 : vEBT_VEBT,X5 : nat] : (iG1036(X6,X9) = iG1037(X5,X6,X7,X8,X9) | none(nat) != lG1035(X7,X6,X5)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25855])).
% 8.48/2.15  tff(f25855,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X4 : nat] : (aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_add,aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_mul,aa(nat,option(nat),some(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),lG1035(X2,X1,X0))),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),aa(option(nat),nat,the2(nat),lG1035(X2,X1,X0))))) = iG1037(X0,X1,X2,X3,X4) | none(nat) = lG1035(X2,X1,X0)) & ! [X5 : nat,X6 : nat,X7 : vEBT_VEBT,X8 : list(vEBT_VEBT),X9 : nat] : (iG1036(X6,X9) = iG1037(X5,X6,X7,X8,X9) | none(nat) != lG1035(X7,X6,X5))),
% 8.48/2.15    inference(ennf_transformation,[],[f19630])).
% 8.48/2.15  tff(f19630,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X4 : nat] : (none(nat) != lG1035(X2,X1,X0) => aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_add,aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_mul,aa(nat,option(nat),some(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),lG1035(X2,X1,X0))),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),aa(option(nat),nat,the2(nat),lG1035(X2,X1,X0))))) = iG1037(X0,X1,X2,X3,X4)) & ! [X5 : nat,X6 : nat,X7 : vEBT_VEBT,X8 : list(vEBT_VEBT),X9 : nat] : (none(nat) = lG1035(X7,X6,X5) => iG1036(X6,X9) = iG1037(X5,X6,X7,X8,X9))),
% 8.48/2.15    inference(flattening,[],[f19629])).
% 8.48/2.15  tff(f19629,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X4 : nat] : (~none(nat) = lG1035(X2,X1,X0) => aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_add,aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_mul,aa(nat,option(nat),some(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),lG1035(X2,X1,X0))),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),aa(option(nat),nat,the2(nat),lG1035(X2,X1,X0))))) = iG1037(X0,X1,X2,X3,X4)) & ! [X5 : nat,X6 : nat,X7 : vEBT_VEBT,X8 : list(vEBT_VEBT),X9 : nat] : (none(nat) = lG1035(X7,X6,X5) => iG1036(X6,X9) = iG1037(X5,X6,X7,X8,X9))),
% 8.48/2.15    inference(rectify,[],[f19300])).
% 8.48/2.15  tff(f19300,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X5 : vEBT_VEBT,X3 : list(vEBT_VEBT),X4 : nat] : (~none(nat) = lG1035(X5,X1,X0) => aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_add,aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_mul,aa(nat,option(nat),some(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),lG1035(X5,X1,X0))),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),aa(option(nat),nat,the2(nat),lG1035(X5,X1,X0))))) = iG1037(X0,X1,X5,X3,X4)) & ! [X0 : nat,X1 : nat,X5 : vEBT_VEBT,X3 : list(vEBT_VEBT),X4 : nat] : (none(nat) = lG1035(X5,X1,X0) => iG1036(X1,X4) = iG1037(X0,X1,X5,X3,X4))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG1037])])).
% 8.48/2.15  tff(f43699,plain,(
% 8.48/2.15    ( ! [X2 : vEBT_VEBT,X3 : list(vEBT_VEBT),X0 : nat,X1 : nat,X4 : nat] : (aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_add,aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_mul,aa(nat,option(nat),some(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),lG1035(X2,X1,X0))),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),aa(option(nat),nat,the2(nat),lG1035(X2,X1,X0))))) = iG1037(X0,X1,X2,X3,X4) | none(nat) = lG1035(X2,X1,X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25855])).
% 8.48/2.15  tff(f43695,plain,(
% 8.48/2.15    ( ! [X8 : vEBT_VEBT,X6 : nat,X9 : nat,X7 : list(vEBT_VEBT),X5 : nat] : (aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_add,aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_mul,aa(nat,option(nat),some(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X5,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(nat,option(nat),some(nat),lG1033(X6,X5)))),vEBT_vebt_pred(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X7),lG1033(X6,X5)),lG1032(X6,X5))) = iG1038(X5,X6,X7,X8,X9) | ~vEBT_VEBT_greater(aa(nat,option(nat),some(nat),lG1032(X6,X5)),lG1034(X7,X6,X5)) | none(nat) = lG1034(X7,X6,X5)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25854])).
% 8.48/2.15  tff(f25854,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X4 : nat] : (iG1037(X0,X1,X3,X2,X4) = iG1038(X0,X1,X2,X3,X4) | (vEBT_VEBT_greater(aa(nat,option(nat),some(nat),lG1032(X1,X0)),lG1034(X2,X1,X0)) & none(nat) != lG1034(X2,X1,X0))) & ! [X5 : nat,X6 : nat,X7 : list(vEBT_VEBT),X8 : vEBT_VEBT,X9 : nat] : (aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_add,aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_mul,aa(nat,option(nat),some(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X5,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(nat,option(nat),some(nat),lG1033(X6,X5)))),vEBT_vebt_pred(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X7),lG1033(X6,X5)),lG1032(X6,X5))) = iG1038(X5,X6,X7,X8,X9) | ~vEBT_VEBT_greater(aa(nat,option(nat),some(nat),lG1032(X6,X5)),lG1034(X7,X6,X5)) | none(nat) = lG1034(X7,X6,X5))),
% 8.48/2.15    inference(flattening,[],[f25853])).
% 8.48/2.15  tff(f25853,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X4 : nat] : (iG1037(X0,X1,X3,X2,X4) = iG1038(X0,X1,X2,X3,X4) | (vEBT_VEBT_greater(aa(nat,option(nat),some(nat),lG1032(X1,X0)),lG1034(X2,X1,X0)) & none(nat) != lG1034(X2,X1,X0))) & ! [X5 : nat,X6 : nat,X7 : list(vEBT_VEBT),X8 : vEBT_VEBT,X9 : nat] : (aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_add,aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_mul,aa(nat,option(nat),some(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X5,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(nat,option(nat),some(nat),lG1033(X6,X5)))),vEBT_vebt_pred(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X7),lG1033(X6,X5)),lG1032(X6,X5))) = iG1038(X5,X6,X7,X8,X9) | (~vEBT_VEBT_greater(aa(nat,option(nat),some(nat),lG1032(X6,X5)),lG1034(X7,X6,X5)) | none(nat) = lG1034(X7,X6,X5)))),
% 8.48/2.15    inference(ennf_transformation,[],[f19628])).
% 8.48/2.15  tff(f19628,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X4 : nat] : (~(vEBT_VEBT_greater(aa(nat,option(nat),some(nat),lG1032(X1,X0)),lG1034(X2,X1,X0)) & none(nat) != lG1034(X2,X1,X0)) => iG1037(X0,X1,X3,X2,X4) = iG1038(X0,X1,X2,X3,X4)) & ! [X5 : nat,X6 : nat,X7 : list(vEBT_VEBT),X8 : vEBT_VEBT,X9 : nat] : ((vEBT_VEBT_greater(aa(nat,option(nat),some(nat),lG1032(X6,X5)),lG1034(X7,X6,X5)) & none(nat) != lG1034(X7,X6,X5)) => aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_add,aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_mul,aa(nat,option(nat),some(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X5,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(nat,option(nat),some(nat),lG1033(X6,X5)))),vEBT_vebt_pred(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X7),lG1033(X6,X5)),lG1032(X6,X5))) = iG1038(X5,X6,X7,X8,X9))),
% 8.48/2.15    inference(rectify,[],[f19301])).
% 8.48/2.15  tff(f19301,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X3 : list(vEBT_VEBT),X5 : vEBT_VEBT,X4 : nat] : (~(vEBT_VEBT_greater(aa(nat,option(nat),some(nat),lG1032(X1,X0)),lG1034(X3,X1,X0)) & none(nat) != lG1034(X3,X1,X0)) => iG1037(X0,X1,X5,X3,X4) = iG1038(X0,X1,X3,X5,X4)) & ! [X0 : nat,X1 : nat,X3 : list(vEBT_VEBT),X5 : vEBT_VEBT,X4 : nat] : ((vEBT_VEBT_greater(aa(nat,option(nat),some(nat),lG1032(X1,X0)),lG1034(X3,X1,X0)) & none(nat) != lG1034(X3,X1,X0)) => aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_add,aa(option(nat),option(nat),aa(option(nat),fun(option(nat),option(nat)),vEBT_VEBT_mul,aa(nat,option(nat),some(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(nat,option(nat),some(nat),lG1033(X1,X0)))),vEBT_vebt_pred(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG1033(X1,X0)),lG1032(X1,X0))) = iG1038(X0,X1,X3,X5,X4))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG1038])])).
% 8.48/2.15  tff(f43696,plain,(
% 8.48/2.15    ( ! [X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X0 : nat,X1 : nat,X4 : nat] : (iG1037(X0,X1,X3,X2,X4) = iG1038(X0,X1,X2,X3,X4) | none(nat) != lG1034(X2,X1,X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25854])).
% 8.48/2.15  tff(f43697,plain,(
% 8.48/2.15    ( ! [X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X0 : nat,X1 : nat,X4 : nat] : (iG1037(X0,X1,X3,X2,X4) = iG1038(X0,X1,X2,X3,X4) | vEBT_VEBT_greater(aa(nat,option(nat),some(nat),lG1032(X1,X0)),lG1034(X2,X1,X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25854])).
% 8.48/2.15  tff(f43693,plain,(
% 8.48/2.15    ( ! [X6 : list(vEBT_VEBT),X7 : vEBT_VEBT,X4 : nat,X5 : nat] : (vEBT_vebt_insert(X7,vEBT_VEBT_high(X5,divide_divide(nat,X4,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) = iG1039(X4,X5,X6,X7) | ~vEBT_VEBT_minNull(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X6),vEBT_VEBT_high(X5,divide_divide(nat,X4,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25852])).
% 8.48/2.15  tff(f25852,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : list(vEBT_VEBT),X3 : vEBT_VEBT] : (iG1039(X0,X1,X2,X3) = X3 | vEBT_VEBT_minNull(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X2),vEBT_VEBT_high(X1,divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))) & ! [X4 : nat,X5 : nat,X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : (vEBT_vebt_insert(X7,vEBT_VEBT_high(X5,divide_divide(nat,X4,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) = iG1039(X4,X5,X6,X7) | ~vEBT_VEBT_minNull(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X6),vEBT_VEBT_high(X5,divide_divide(nat,X4,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.15    inference(ennf_transformation,[],[f19627])).
% 8.48/2.15  tff(f19627,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : list(vEBT_VEBT),X3 : vEBT_VEBT] : (~vEBT_VEBT_minNull(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X2),vEBT_VEBT_high(X1,divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) => iG1039(X0,X1,X2,X3) = X3) & ! [X4 : nat,X5 : nat,X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : (vEBT_VEBT_minNull(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X6),vEBT_VEBT_high(X5,divide_divide(nat,X4,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) => vEBT_vebt_insert(X7,vEBT_VEBT_high(X5,divide_divide(nat,X4,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) = iG1039(X4,X5,X6,X7))),
% 8.48/2.15    inference(flattening,[],[f19626])).
% 8.48/2.15  tff(f19626,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : list(vEBT_VEBT),X3 : vEBT_VEBT] : (~vEBT_VEBT_minNull(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X2),vEBT_VEBT_high(X1,divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) => iG1039(X0,X1,X2,X3) = X3) & ! [X4 : nat,X5 : nat,X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : (vEBT_VEBT_minNull(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X6),vEBT_VEBT_high(X5,divide_divide(nat,X4,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) => vEBT_vebt_insert(X7,vEBT_VEBT_high(X5,divide_divide(nat,X4,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) = iG1039(X4,X5,X6,X7))),
% 8.48/2.15    inference(rectify,[],[f19310])).
% 8.48/2.15  tff(f19310,plain,(
% 8.48/2.15    ! [X1 : nat,X0 : nat,X2 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (~vEBT_VEBT_minNull(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X2),vEBT_VEBT_high(X0,divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) => iG1039(X1,X0,X2,X5) = X5) & ! [X1 : nat,X0 : nat,X2 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (vEBT_VEBT_minNull(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X2),vEBT_VEBT_high(X0,divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) => vEBT_vebt_insert(X5,vEBT_VEBT_high(X0,divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) = iG1039(X1,X0,X2,X5))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG1039])])).
% 8.48/2.15  tff(f43694,plain,(
% 8.48/2.15    ( ! [X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1039(X0,X1,X2,X3) = X3 | vEBT_VEBT_minNull(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X2),vEBT_VEBT_high(X1,divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25852])).
% 8.48/2.15  tff(f43691,plain,(
% 8.48/2.15    ( ! [X6 : list(vEBT_VEBT),X7 : vEBT_VEBT,X4 : nat,X5 : nat] : (vEBT_vebt_insert(X7,vEBT_VEBT_high(X5,divide_divide(nat,X4,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) = iG1040(X4,X5,X6,X7) | ~vEBT_VEBT_minNull(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X6),vEBT_VEBT_high(X5,divide_divide(nat,X4,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25851])).
% 8.48/2.15  tff(f25851,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : list(vEBT_VEBT),X3 : vEBT_VEBT] : (iG1040(X0,X1,X2,X3) = X3 | vEBT_VEBT_minNull(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X2),vEBT_VEBT_high(X1,divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))) & ! [X4 : nat,X5 : nat,X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : (vEBT_vebt_insert(X7,vEBT_VEBT_high(X5,divide_divide(nat,X4,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) = iG1040(X4,X5,X6,X7) | ~vEBT_VEBT_minNull(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X6),vEBT_VEBT_high(X5,divide_divide(nat,X4,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.15    inference(ennf_transformation,[],[f19625])).
% 8.48/2.15  tff(f19625,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : list(vEBT_VEBT),X3 : vEBT_VEBT] : (~vEBT_VEBT_minNull(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X2),vEBT_VEBT_high(X1,divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) => iG1040(X0,X1,X2,X3) = X3) & ! [X4 : nat,X5 : nat,X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : (vEBT_VEBT_minNull(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X6),vEBT_VEBT_high(X5,divide_divide(nat,X4,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) => vEBT_vebt_insert(X7,vEBT_VEBT_high(X5,divide_divide(nat,X4,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) = iG1040(X4,X5,X6,X7))),
% 8.48/2.15    inference(flattening,[],[f19624])).
% 8.48/2.15  tff(f19624,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : list(vEBT_VEBT),X3 : vEBT_VEBT] : (~vEBT_VEBT_minNull(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X2),vEBT_VEBT_high(X1,divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) => iG1040(X0,X1,X2,X3) = X3) & ! [X4 : nat,X5 : nat,X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : (vEBT_VEBT_minNull(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X6),vEBT_VEBT_high(X5,divide_divide(nat,X4,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) => vEBT_vebt_insert(X7,vEBT_VEBT_high(X5,divide_divide(nat,X4,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) = iG1040(X4,X5,X6,X7))),
% 8.48/2.15    inference(rectify,[],[f19313])).
% 8.48/2.15  tff(f19313,plain,(
% 8.48/2.15    ! [X1 : nat,X0 : nat,X2 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (~vEBT_VEBT_minNull(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X2),vEBT_VEBT_high(X0,divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) => iG1040(X1,X0,X2,X5) = X5) & ! [X1 : nat,X0 : nat,X2 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (vEBT_VEBT_minNull(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X2),vEBT_VEBT_high(X0,divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) => vEBT_vebt_insert(X5,vEBT_VEBT_high(X0,divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) = iG1040(X1,X0,X2,X5))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG1040])])).
% 8.48/2.15  tff(f43692,plain,(
% 8.48/2.15    ( ! [X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X0 : nat,X1 : nat] : (iG1040(X0,X1,X2,X3) = X3 | vEBT_VEBT_minNull(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X2),vEBT_VEBT_high(X1,divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25851])).
% 8.48/2.15  tff(f43690,plain,(
% 8.48/2.15    ( ! [X0 : nat,X1 : nat] : (vEBT_VEBT_high(X0,divide_divide(nat,aa(nat,nat,suc,X1),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG1041(X0,X1)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f19623])).
% 8.48/2.15  tff(f19623,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : vEBT_VEBT_high(X0,divide_divide(nat,aa(nat,nat,suc,X1),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG1041(X0,X1)),
% 8.48/2.15    inference(rectify,[],[f19324])).
% 8.48/2.15  tff(f19324,plain,(
% 8.48/2.15    ! [X5 : nat,X2 : nat] : vEBT_VEBT_high(X5,divide_divide(nat,aa(nat,nat,suc,X2),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG1041(X5,X2)),
% 8.48/2.15    introduced(fool_let_definition,[new_symbols(definition,[lG1041])])).
% 8.48/2.15  tff(f43687,plain,(
% 8.48/2.15    ( ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG1041(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) | ~iG1042(X3,X4,X5) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1041(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3)))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36031])).
% 8.48/2.15  tff(f36031,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~iG1042(X0,X1,X2) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1041(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (((iG1042(X3,X4,X5) | ~vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG1041(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) & (vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG1041(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) | ~iG1042(X3,X4,X5))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1041(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))),
% 8.48/2.15    inference(nnf_transformation,[],[f25850])).
% 8.48/2.15  tff(f25850,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~iG1042(X0,X1,X2) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1041(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : ((iG1042(X3,X4,X5) <=> vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG1041(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1041(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))),
% 8.48/2.15    inference(ennf_transformation,[],[f19622])).
% 8.48/2.15  tff(f19622,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1041(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => ~iG1042(X0,X1,X2)) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1041(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (iG1042(X3,X4,X5) <=> vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG1041(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.15    inference(flattening,[],[f19621])).
% 8.48/2.15  tff(f19621,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1041(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => ~iG1042(X0,X1,X2)) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1041(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (iG1042(X3,X4,X5) <=> vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG1041(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.15    inference(true_and_false_elimination,[],[f19620])).
% 8.48/2.15  tff(f19620,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1041(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => (iG1042(X0,X1,X2) <=> $false)) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1041(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (iG1042(X3,X4,X5) <=> vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG1041(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.15    inference(rectify,[],[f19325])).
% 8.48/2.15  tff(f19325,plain,(
% 8.48/2.15    ! [X3 : list(vEBT_VEBT),X2 : nat,X5 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1041(X5,X2)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (iG1042(X3,X2,X5) <=> $false)) & ! [X3 : list(vEBT_VEBT),X2 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1041(X5,X2)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (iG1042(X3,X2,X5) <=> vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG1041(X5,X2)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X2),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG1042])])).
% 8.48/2.15  tff(f43688,plain,(
% 8.48/2.15    ( ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (iG1042(X3,X4,X5) | ~vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG1041(X5,X4)),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X4),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1041(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3)))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36031])).
% 8.48/2.15  tff(f43689,plain,(
% 8.48/2.15    ( ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (~iG1042(X0,X1,X2) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1041(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36031])).
% 8.48/2.15  tff(f43686,plain,(
% 8.48/2.15    ( ! [X0 : nat,X1 : nat] : (vEBT_VEBT_high(X0,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X1)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG1043(X0,X1)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f19619])).
% 8.48/2.15  tff(f19619,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat] : vEBT_VEBT_high(X0,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X1)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG1043(X0,X1)),
% 8.48/2.15    inference(rectify,[],[f19350])).
% 8.48/2.15  tff(f19350,plain,(
% 8.48/2.15    ! [X5 : nat,X2 : nat] : vEBT_VEBT_high(X5,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))) = lG1043(X5,X2)),
% 8.48/2.15    introduced(fool_let_definition,[new_symbols(definition,[lG1043])])).
% 8.48/2.15  tff(f43684,plain,(
% 8.48/2.15    ( ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : ((aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG1043(X5,X4))),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X4)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) = iG1044(X3,X4,X5)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1043(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3)))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25849])).
% 8.48/2.15  tff(f25849,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (($false = iG1044(X0,X1,X2)) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1043(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : ((aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG1043(X5,X4))),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X4)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) = iG1044(X3,X4,X5)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1043(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))),
% 8.48/2.15    inference(ennf_transformation,[],[f19618])).
% 8.48/2.15  tff(f19618,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1043(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => ($false = iG1044(X0,X1,X2))) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1043(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG1043(X5,X4))),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X4)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) = iG1044(X3,X4,X5)))),
% 8.48/2.15    inference(flattening,[],[f19617])).
% 8.48/2.15  tff(f19617,plain,(
% 8.48/2.15    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1043(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) => ($false = iG1044(X0,X1,X2))) & ! [X3 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1043(X5,X4)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG1043(X5,X4))),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X4)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) = iG1044(X3,X4,X5)))),
% 8.48/2.15    inference(rectify,[],[f19351])).
% 8.48/2.15  tff(f19351,plain,(
% 8.48/2.15    ! [X3 : list(vEBT_VEBT),X2 : nat,X5 : nat] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1043(X5,X2)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => ($false = iG1044(X3,X2,X5))) & ! [X3 : list(vEBT_VEBT),X2 : nat,X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1043(X5,X2)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) => (aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),lG1043(X5,X2))),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) = iG1044(X3,X2,X5)))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG1044])])).
% 8.48/2.15  tff(f43685,plain,(
% 8.48/2.15    ( ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (($false = iG1044(X0,X1,X2)) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),lG1043(X2,X1)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0)))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25849])).
% 8.48/2.15  tff(f43682,plain,(
% 8.48/2.15    ( ! [X6 : nat,X7 : list(vEBT_VEBT),X4 : nat,X5 : nat] : (($false = iG1045(X4,X5,X6,X7)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),X4))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25848])).
% 8.48/2.15  tff(f25848,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT)] : ((iG1044(X3,X2,X0) = iG1045(X0,X1,X2,X3)) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) & ! [X4 : nat,X5 : nat,X6 : nat,X7 : list(vEBT_VEBT)] : (($false = iG1045(X4,X5,X6,X7)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),X4)))),
% 8.48/2.15    inference(ennf_transformation,[],[f19616])).
% 8.48/2.15  tff(f19616,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT)] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) => (iG1044(X3,X2,X0) = iG1045(X0,X1,X2,X3))) & ! [X4 : nat,X5 : nat,X6 : nat,X7 : list(vEBT_VEBT)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),X4)) => ($false = iG1045(X4,X5,X6,X7)))),
% 8.48/2.15    inference(flattening,[],[f19615])).
% 8.48/2.15  tff(f19615,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT)] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) => (iG1044(X3,X2,X0) = iG1045(X0,X1,X2,X3))) & ! [X4 : nat,X5 : nat,X6 : nat,X7 : list(vEBT_VEBT)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),X4)) => ($false = iG1045(X4,X5,X6,X7)))),
% 8.48/2.15    inference(rectify,[],[f19352])).
% 8.48/2.15  tff(f19352,plain,(
% 8.48/2.15    ! [X5 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT)] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X5)) => (iG1044(X3,X2,X5) = iG1045(X5,X1,X2,X3))) & ! [X5 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X5)) => ($false = iG1045(X5,X1,X2,X3)))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG1045])])).
% 8.48/2.15  tff(f43683,plain,(
% 8.48/2.15    ( ! [X2 : nat,X3 : list(vEBT_VEBT),X0 : nat,X1 : nat] : ((iG1044(X3,X2,X0) = iG1045(X0,X1,X2,X3)) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25848])).
% 8.48/2.15  tff(f43680,plain,(
% 8.48/2.15    ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat,X5 : nat] : (($false = iG1046(X5,X6,X7,X8,X9)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X5))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25847])).
% 8.48/2.15  tff(f25847,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : ((iG1045(X1,X2,X3,X4) = iG1046(X0,X1,X2,X3,X4)) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (($false = iG1046(X5,X6,X7,X8,X9)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X5)))),
% 8.48/2.15    inference(ennf_transformation,[],[f19614])).
% 8.48/2.15  tff(f19614,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) => (iG1045(X1,X2,X3,X4) = iG1046(X0,X1,X2,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X5)) => ($false = iG1046(X5,X6,X7,X8,X9)))),
% 8.48/2.15    inference(flattening,[],[f19613])).
% 8.48/2.15  tff(f19613,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0)) => (iG1045(X1,X2,X3,X4) = iG1046(X0,X1,X2,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),X5)) => ($false = iG1046(X5,X6,X7,X8,X9)))),
% 8.48/2.15    inference(rectify,[],[f19353])).
% 8.48/2.15  tff(f19353,plain,(
% 8.48/2.15    ! [X0 : nat,X5 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT)] : (~($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),X0)) => (iG1045(X5,X1,X2,X3) = iG1046(X0,X5,X1,X2,X3))) & ! [X0 : nat,X5 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT)] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),X0)) => ($false = iG1046(X0,X5,X1,X2,X3)))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG1046])])).
% 8.48/2.15  tff(f43681,plain,(
% 8.48/2.15    ( ! [X2 : nat,X3 : nat,X0 : nat,X1 : nat,X4 : list(vEBT_VEBT)] : ((iG1045(X1,X2,X3,X4) = iG1046(X0,X1,X2,X3,X4)) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25847])).
% 8.48/2.15  tff(f61093,plain,(
% 8.48/2.15    ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat] : (($true = iG1047(X6,X6,X7,X8,X9))) )),
% 8.48/2.15    inference(equality_resolution,[],[f43678])).
% 8.48/2.15  tff(f43678,plain,(
% 8.48/2.15    ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat,X5 : nat] : (($true = iG1047(X5,X6,X7,X8,X9)) | X5 != X6) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25846])).
% 8.48/2.15  tff(f25846,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : ((iG1046(X2,X0,X1,X3,X4) = iG1047(X0,X1,X2,X3,X4)) | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (($true = iG1047(X5,X6,X7,X8,X9)) | X5 != X6)),
% 8.48/2.15    inference(ennf_transformation,[],[f19612])).
% 8.48/2.15  tff(f19612,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (X0 != X1 => (iG1046(X2,X0,X1,X3,X4) = iG1047(X0,X1,X2,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => ($true = iG1047(X5,X6,X7,X8,X9)))),
% 8.48/2.15    inference(flattening,[],[f19611])).
% 8.48/2.15  tff(f19611,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (~X0 = X1 => (iG1046(X2,X0,X1,X3,X4) = iG1047(X0,X1,X2,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => ($true = iG1047(X5,X6,X7,X8,X9)))),
% 8.48/2.15    inference(rectify,[],[f19354])).
% 8.48/2.15  tff(f19354,plain,(
% 8.48/2.15    ! [X5 : nat,X1 : nat,X0 : nat,X2 : nat,X3 : list(vEBT_VEBT)] : (~X1 = X5 => (iG1046(X0,X5,X1,X2,X3) = iG1047(X5,X1,X0,X2,X3))) & ! [X5 : nat,X1 : nat,X0 : nat,X2 : nat,X3 : list(vEBT_VEBT)] : (X1 = X5 => ($true = iG1047(X5,X1,X0,X2,X3)))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG1047])])).
% 8.48/2.15  tff(f43679,plain,(
% 8.48/2.15    ( ! [X2 : nat,X3 : nat,X0 : nat,X1 : nat,X4 : list(vEBT_VEBT)] : ((iG1046(X2,X0,X1,X3,X4) = iG1047(X0,X1,X2,X3,X4)) | X0 = X1) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25846])).
% 8.48/2.15  tff(f61092,plain,(
% 8.48/2.15    ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat] : (($true = iG1048(X6,X6,X7,X8,X9))) )),
% 8.48/2.15    inference(equality_resolution,[],[f43676])).
% 8.48/2.15  tff(f43676,plain,(
% 8.48/2.15    ( ! [X8 : nat,X6 : nat,X9 : list(vEBT_VEBT),X7 : nat,X5 : nat] : (($true = iG1048(X5,X6,X7,X8,X9)) | X5 != X6) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25845])).
% 8.48/2.15  tff(f25845,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : ((iG1047(X0,X2,X1,X3,X4) = iG1048(X0,X1,X2,X3,X4)) | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (($true = iG1048(X5,X6,X7,X8,X9)) | X5 != X6)),
% 8.48/2.15    inference(ennf_transformation,[],[f19610])).
% 8.48/2.15  tff(f19610,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (X0 != X1 => (iG1047(X0,X2,X1,X3,X4) = iG1048(X0,X1,X2,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => ($true = iG1048(X5,X6,X7,X8,X9)))),
% 8.48/2.15    inference(flattening,[],[f19609])).
% 8.48/2.15  tff(f19609,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT)] : (~X0 = X1 => (iG1047(X0,X2,X1,X3,X4) = iG1048(X0,X1,X2,X3,X4))) & ! [X5 : nat,X6 : nat,X7 : nat,X8 : nat,X9 : list(vEBT_VEBT)] : (X5 = X6 => ($true = iG1048(X5,X6,X7,X8,X9)))),
% 8.48/2.15    inference(rectify,[],[f19355])).
% 8.48/2.15  tff(f19355,plain,(
% 8.48/2.15    ! [X5 : nat,X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT)] : (~X0 = X5 => (iG1047(X5,X1,X0,X2,X3) = iG1048(X5,X0,X1,X2,X3))) & ! [X5 : nat,X0 : nat,X1 : nat,X2 : nat,X3 : list(vEBT_VEBT)] : (X0 = X5 => ($true = iG1048(X5,X0,X1,X2,X3)))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG1048])])).
% 8.48/2.15  tff(f43677,plain,(
% 8.48/2.15    ( ! [X2 : nat,X3 : nat,X0 : nat,X1 : nat,X4 : list(vEBT_VEBT)] : ((iG1047(X0,X2,X1,X3,X4) = iG1048(X0,X1,X2,X3,X4)) | X0 = X1) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25845])).
% 8.48/2.15  tff(f61091,plain,(
% 8.48/2.15    ( ! [X7 : $tType,X8 : $tType,X11 : $tType,X10 : product_prod(X8,X11),X12 : set(product_prod(X8,X7)),X13 : X7] : (aa(set(product_prod(X8,X7)),set(product_prod(X8,X7)),insert(product_prod(X8,X7),aa(X7,product_prod(X8,X7),aa(X8,fun(X7,product_prod(X8,X7)),product_Pair(X8,X7),aa(product_prod(X8,X11),X8,product_fst(X8,X11),X10)),X13)),X12) = iG1049(X7,X8,X11,aa(product_prod(X8,X11),X11,product_snd(X8,X11),X10),X10,X12,X13)) )),
% 8.48/2.15    inference(equality_resolution,[],[f43674])).
% 8.48/2.15  tff(f43674,plain,(
% 8.48/2.15    ( ! [X7 : $tType,X8 : $tType,X11 : $tType,X10 : product_prod(X8,X11),X9 : X11,X12 : set(product_prod(X8,X7)),X13 : X7] : (aa(set(product_prod(X8,X7)),set(product_prod(X8,X7)),insert(product_prod(X8,X7),aa(X7,product_prod(X8,X7),aa(X8,fun(X7,product_prod(X8,X7)),product_Pair(X8,X7),aa(product_prod(X8,X11),X8,product_fst(X8,X11),X10)),X13)),X12) = iG1049(X7,X8,X11,X9,X10,X12,X13) | aa(product_prod(X8,X11),X11,product_snd(X8,X11),X10) != X9) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25844])).
% 8.48/2.15  tff(f25844,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : $tType,X2 : X4,X3 : product_prod(X1,X4),X4 : $tType,X5 : set(product_prod(X1,X0)),X6 : X0] : (iG1049(X0,X1,X4,X2,X3,X5,X6) = X5 | aa(product_prod(X1,X4),X4,product_snd(X1,X4),X3) = X2) & ! [X7 : $tType,X8 : $tType,X9 : X11,X10 : product_prod(X8,X11),X11 : $tType,X12 : set(product_prod(X8,X7)),X13 : X7] : (aa(set(product_prod(X8,X7)),set(product_prod(X8,X7)),insert(product_prod(X8,X7),aa(X7,product_prod(X8,X7),aa(X8,fun(X7,product_prod(X8,X7)),product_Pair(X8,X7),aa(product_prod(X8,X11),X8,product_fst(X8,X11),X10)),X13)),X12) = iG1049(X7,X8,X11,X9,X10,X12,X13) | aa(product_prod(X8,X11),X11,product_snd(X8,X11),X10) != X9)),
% 8.48/2.15    inference(ennf_transformation,[],[f19608])).
% 8.48/2.15  tff(f19608,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : $tType,X2 : X4,X3 : product_prod(X1,X4),X4 : $tType,X5 : set(product_prod(X1,X0)),X6 : X0] : (aa(product_prod(X1,X4),X4,product_snd(X1,X4),X3) != X2 => iG1049(X0,X1,X4,X2,X3,X5,X6) = X5) & ! [X7 : $tType,X8 : $tType,X9 : X11,X10 : product_prod(X8,X11),X11 : $tType,X12 : set(product_prod(X8,X7)),X13 : X7] : (aa(product_prod(X8,X11),X11,product_snd(X8,X11),X10) = X9 => aa(set(product_prod(X8,X7)),set(product_prod(X8,X7)),insert(product_prod(X8,X7),aa(X7,product_prod(X8,X7),aa(X8,fun(X7,product_prod(X8,X7)),product_Pair(X8,X7),aa(product_prod(X8,X11),X8,product_fst(X8,X11),X10)),X13)),X12) = iG1049(X7,X8,X11,X9,X10,X12,X13))),
% 8.48/2.15    inference(flattening,[],[f19607])).
% 8.48/2.15  tff(f19607,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : $tType,X2 : X4,X3 : product_prod(X1,X4),X4 : $tType,X5 : set(product_prod(X1,X0)),X6 : X0] : (~aa(product_prod(X1,X4),X4,product_snd(X1,X4),X3) = X2 => iG1049(X0,X1,X4,X2,X3,X5,X6) = X5) & ! [X7 : $tType,X8 : $tType,X9 : X11,X10 : product_prod(X8,X11),X11 : $tType,X12 : set(product_prod(X8,X7)),X13 : X7] : (aa(product_prod(X8,X11),X11,product_snd(X8,X11),X10) = X9 => aa(set(product_prod(X8,X7)),set(product_prod(X8,X7)),insert(product_prod(X8,X7),aa(X7,product_prod(X8,X7),aa(X8,fun(X7,product_prod(X8,X7)),product_Pair(X8,X7),aa(product_prod(X8,X11),X8,product_fst(X8,X11),X10)),X13)),X12) = iG1049(X7,X8,X11,X9,X10,X12,X13))),
% 8.48/2.15    inference(rectify,[],[f19366])).
% 8.48/2.15  tff(f19366,plain,(
% 8.48/2.15    ! [X1 : $tType,X2 : $tType,X4 : X0,X3 : product_prod(X2,X0),X0 : $tType,X6 : set(product_prod(X2,X1)),X5 : X1] : (~aa(product_prod(X2,X0),X0,product_snd(X2,X0),X3) = X4 => iG1049(X1,X2,X0,X4,X3,X6,X5) = X6) & ! [X1 : $tType,X2 : $tType,X4 : X0,X3 : product_prod(X2,X0),X0 : $tType,X6 : set(product_prod(X2,X1)),X5 : X1] : (aa(product_prod(X2,X0),X0,product_snd(X2,X0),X3) = X4 => aa(set(product_prod(X2,X1)),set(product_prod(X2,X1)),insert(product_prod(X2,X1),aa(X1,product_prod(X2,X1),aa(X2,fun(X1,product_prod(X2,X1)),product_Pair(X2,X1),aa(product_prod(X2,X0),X2,product_fst(X2,X0),X3)),X5)),X6) = iG1049(X1,X2,X0,X4,X3,X6,X5))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG1049])])).
% 8.48/2.15  tff(f43675,plain,(
% 8.48/2.15    ( ! [X4 : $tType,X1 : $tType,X0 : $tType,X2 : X4,X3 : product_prod(X1,X4),X6 : X0,X5 : set(product_prod(X1,X0))] : (iG1049(X0,X1,X4,X2,X3,X5,X6) = X5 | aa(product_prod(X1,X4),X4,product_snd(X1,X4),X3) = X2) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25844])).
% 8.48/2.15  tff(f43668,plain,(
% 8.48/2.15    ( ! [X3 : real,X4 : real,X5 : real] : (($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X4),X5)) | ~iG1050(X3,X4,X5) | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less(real),X4),X3))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36030])).
% 8.48/2.15  tff(f36030,plain,(
% 8.48/2.15    ! [X0 : real,X1 : real,X2 : real] : (((iG1050(X0,X1,X2) | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less(real),X2),X1)) | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less(real),X0),X2))) & ((($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X2),X1)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X0),X2))) | ~iG1050(X0,X1,X2))) | ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X1),X0))) & ! [X3 : real,X4 : real,X5 : real] : (((iG1050(X3,X4,X5) | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less(real),X5),X3)) | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less(real),X4),X5))) & ((($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X5),X3)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X4),X5))) | ~iG1050(X3,X4,X5))) | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less(real),X4),X3)))),
% 8.48/2.15    inference(flattening,[],[f36029])).
% 8.48/2.15  tff(f36029,plain,(
% 8.48/2.15    ! [X0 : real,X1 : real,X2 : real] : (((iG1050(X0,X1,X2) | (($true != aa(real,$o,aa(real,fun(real,$o),ord_less(real),X2),X1)) | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less(real),X0),X2)))) & ((($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X2),X1)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X0),X2))) | ~iG1050(X0,X1,X2))) | ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X1),X0))) & ! [X3 : real,X4 : real,X5 : real] : (((iG1050(X3,X4,X5) | (($true != aa(real,$o,aa(real,fun(real,$o),ord_less(real),X5),X3)) | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less(real),X4),X5)))) & ((($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X5),X3)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X4),X5))) | ~iG1050(X3,X4,X5))) | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less(real),X4),X3)))),
% 8.48/2.15    inference(nnf_transformation,[],[f25843])).
% 8.48/2.15  tff(f25843,plain,(
% 8.48/2.15    ! [X0 : real,X1 : real,X2 : real] : ((iG1050(X0,X1,X2) <=> (($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X2),X1)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X0),X2)))) | ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X1),X0))) & ! [X3 : real,X4 : real,X5 : real] : ((iG1050(X3,X4,X5) <=> (($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X5),X3)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X4),X5)))) | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less(real),X4),X3)))),
% 8.48/2.15    inference(ennf_transformation,[],[f19606])).
% 8.48/2.15  tff(f19606,plain,(
% 8.48/2.15    ! [X0 : real,X1 : real,X2 : real] : (($true != aa(real,$o,aa(real,fun(real,$o),ord_less(real),X1),X0)) => (iG1050(X0,X1,X2) <=> (($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X2),X1)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X0),X2))))) & ! [X3 : real,X4 : real,X5 : real] : (($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X4),X3)) => (iG1050(X3,X4,X5) <=> (($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X5),X3)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X4),X5)))))),
% 8.48/2.15    inference(flattening,[],[f19605])).
% 8.48/2.15  tff(f19605,plain,(
% 8.48/2.15    ! [X0 : real,X1 : real,X2 : real] : (~($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X1),X0)) => (iG1050(X0,X1,X2) <=> (($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X2),X1)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X0),X2))))) & ! [X3 : real,X4 : real,X5 : real] : (($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X4),X3)) => (iG1050(X3,X4,X5) <=> (($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X5),X3)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X4),X5)))))),
% 8.48/2.15    inference(rectify,[],[f19407])).
% 8.48/2.15  tff(f19407,plain,(
% 8.48/2.15    ! [X5 : real,X6 : real,X9 : real] : (~($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X6),X5)) => (iG1050(X5,X6,X9) <=> (($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X9),X6)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X5),X9))))) & ! [X5 : real,X6 : real,X9 : real] : (($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X6),X5)) => (iG1050(X5,X6,X9) <=> (($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X9),X5)) & ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X6),X9)))))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG1050])])).
% 8.48/2.15  tff(f43669,plain,(
% 8.48/2.15    ( ! [X3 : real,X4 : real,X5 : real] : (($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X5),X3)) | ~iG1050(X3,X4,X5) | ($true != aa(real,$o,aa(real,fun(real,$o),ord_less(real),X4),X3))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36030])).
% 8.48/2.15  tff(f43671,plain,(
% 8.48/2.15    ( ! [X2 : real,X0 : real,X1 : real] : (($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X0),X2)) | ~iG1050(X0,X1,X2) | ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X1),X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36030])).
% 8.48/2.15  tff(f43672,plain,(
% 8.48/2.15    ( ! [X2 : real,X0 : real,X1 : real] : (($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X2),X1)) | ~iG1050(X0,X1,X2) | ($true = aa(real,$o,aa(real,fun(real,$o),ord_less(real),X1),X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36030])).
% 8.48/2.15  tff(f61090,plain,(
% 8.48/2.15    ( ! [X8 : nat,X6 : nat,X9 : nat,X7 : list(vEBT_VEBT),X12 : vEBT_VEBT,X13 : nat] : (($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X12),X13)) | ~member(vEBT_VEBT,X12,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X7)) | ~iG1051(X6,X6,X7,X8,X9)) )),
% 8.48/2.15    inference(equality_resolution,[],[f43664])).
% 8.48/2.15  tff(f43664,plain,(
% 8.48/2.15    ( ! [X8 : nat,X6 : nat,X9 : nat,X7 : list(vEBT_VEBT),X5 : nat,X12 : vEBT_VEBT,X13 : nat] : (($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X12),X13)) | ~member(vEBT_VEBT,X12,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X7)) | ~iG1051(X5,X6,X7,X8,X9) | X5 != X6) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36028])).
% 8.48/2.15  tff(f36028,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : list(vEBT_VEBT),X3 : nat,X4 : nat] : (sP1079(X4,X3,X2,X1,X0) | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : list(vEBT_VEBT),X8 : nat,X9 : nat] : (((iG1051(X5,X6,X7,X8,X9) | (($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK1666(X7)),sK1667(X7))) & member(vEBT_VEBT,sK1666(X7),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X7)))) & (! [X12 : vEBT_VEBT] : (! [X13 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X12),X13)) | ~member(vEBT_VEBT,X12,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X7))) | ~iG1051(X5,X6,X7,X8,X9))) | X5 != X6)),
% 8.48/2.15    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1666,sK1667])],[f36025,f36027,f36026])).
% 8.48/2.15  tff(f36026,plain,(
% 8.48/2.15    ! [X7 : list(vEBT_VEBT)] : (? [X10 : vEBT_VEBT] : (? [X11 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X10),X11)) & member(vEBT_VEBT,X10,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X7))) => (? [X11 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK1666(X7)),X11)) & member(vEBT_VEBT,sK1666(X7),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X7))))),
% 8.48/2.15    introduced(choice_axiom,[])).
% 8.48/2.15  tff(f36027,plain,(
% 8.48/2.15    ! [X7 : list(vEBT_VEBT)] : (? [X11 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK1666(X7)),X11)) => ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK1666(X7)),sK1667(X7))))),
% 8.48/2.15    introduced(choice_axiom,[])).
% 8.48/2.15  tff(f36025,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : list(vEBT_VEBT),X3 : nat,X4 : nat] : (sP1079(X4,X3,X2,X1,X0) | X0 = X1) & ! [X5 : nat,X6 : nat,X7 : list(vEBT_VEBT),X8 : nat,X9 : nat] : (((iG1051(X5,X6,X7,X8,X9) | ? [X10 : vEBT_VEBT] : (? [X11 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X10),X11)) & member(vEBT_VEBT,X10,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X7)))) & (! [X12 : vEBT_VEBT] : (! [X13 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X12),X13)) | ~member(vEBT_VEBT,X12,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X7))) | ~iG1051(X5,X6,X7,X8,X9))) | X5 != X6)),
% 8.48/2.15    inference(rectify,[],[f36024])).
% 8.48/2.15  tff(f36024,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : list(vEBT_VEBT),X3 : nat,X4 : nat] : (sP1079(X4,X3,X2,X1,X0) | X0 = X1) & ! [X6 : nat,X7 : nat,X8 : list(vEBT_VEBT),X9 : nat,X10 : nat] : (((iG1051(X6,X7,X8,X9,X10) | ? [X11 : vEBT_VEBT] : (? [X12 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X11),X12)) & member(vEBT_VEBT,X11,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X8)))) & (! [X11 : vEBT_VEBT] : (! [X12 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X11),X12)) | ~member(vEBT_VEBT,X11,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X8))) | ~iG1051(X6,X7,X8,X9,X10))) | X6 != X7)),
% 8.48/2.15    inference(nnf_transformation,[],[f35092])).
% 8.48/2.15  tff(f35092,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : list(vEBT_VEBT),X3 : nat,X4 : nat] : (sP1079(X4,X3,X2,X1,X0) | X0 = X1) & ! [X6 : nat,X7 : nat,X8 : list(vEBT_VEBT),X9 : nat,X10 : nat] : ((iG1051(X6,X7,X8,X9,X10) <=> ! [X11 : vEBT_VEBT] : (! [X12 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X11),X12)) | ~member(vEBT_VEBT,X11,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X8)))) | X6 != X7)),
% 8.48/2.15    inference(definition_folding,[],[f25842,f35091,f35090])).
% 8.48/2.15  tff(f35090,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : list(vEBT_VEBT),X3 : nat,X4 : nat] : (sP1078(X0,X1,X2,X3,X4) <=> (! [X5 : nat] : ((($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X5),X0)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X5))) | ~vEBT_V5917875025757280293ildren(X3,X2,X5) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X4)))) & vEBT_V5917875025757280293ildren(X3,X2,X0)))),
% 8.48/2.15    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1078])])).
% 8.48/2.15  tff(f35091,plain,(
% 8.48/2.15    ! [X4 : nat,X3 : nat,X2 : list(vEBT_VEBT),X1 : nat,X0 : nat] : ((iG1051(X0,X1,X2,X3,X4) <=> sP1078(X0,X1,X2,X3,X4)) | ~sP1079(X4,X3,X2,X1,X0))),
% 8.48/2.15    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1079])])).
% 8.48/2.15  tff(f25842,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : list(vEBT_VEBT),X3 : nat,X4 : nat] : ((iG1051(X0,X1,X2,X3,X4) <=> (! [X5 : nat] : ((($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X5),X0)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X5))) | ~vEBT_V5917875025757280293ildren(X3,X2,X5) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X4)))) & vEBT_V5917875025757280293ildren(X3,X2,X0))) | X0 = X1) & ! [X6 : nat,X7 : nat,X8 : list(vEBT_VEBT),X9 : nat,X10 : nat] : ((iG1051(X6,X7,X8,X9,X10) <=> ! [X11 : vEBT_VEBT] : (! [X12 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X11),X12)) | ~member(vEBT_VEBT,X11,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X8)))) | X6 != X7)),
% 8.48/2.15    inference(flattening,[],[f25841])).
% 8.48/2.15  tff(f25841,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : list(vEBT_VEBT),X3 : nat,X4 : nat] : ((iG1051(X0,X1,X2,X3,X4) <=> (! [X5 : nat] : (((($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X5),X0)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X5))) | ~vEBT_V5917875025757280293ildren(X3,X2,X5)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X4)))) & vEBT_V5917875025757280293ildren(X3,X2,X0))) | X0 = X1) & ! [X6 : nat,X7 : nat,X8 : list(vEBT_VEBT),X9 : nat,X10 : nat] : ((iG1051(X6,X7,X8,X9,X10) <=> ! [X11 : vEBT_VEBT] : (! [X12 : nat] : ($true != aa(nat,$o,vEBT_V8194947554948674370ptions(X11),X12)) | ~member(vEBT_VEBT,X11,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X8)))) | X6 != X7)),
% 8.48/2.15    inference(ennf_transformation,[],[f19604])).
% 8.48/2.15  tff(f19604,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : list(vEBT_VEBT),X3 : nat,X4 : nat] : (X0 != X1 => (iG1051(X0,X1,X2,X3,X4) <=> (! [X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X4))) => (vEBT_V5917875025757280293ildren(X3,X2,X5) => (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X5),X0)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X5))))) & vEBT_V5917875025757280293ildren(X3,X2,X0)))) & ! [X6 : nat,X7 : nat,X8 : list(vEBT_VEBT),X9 : nat,X10 : nat] : (X6 = X7 => (iG1051(X6,X7,X8,X9,X10) <=> ! [X11 : vEBT_VEBT] : (member(vEBT_VEBT,X11,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X8)) => ~? [X12 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X11),X12)))))),
% 8.48/2.15    inference(flattening,[],[f19603])).
% 8.48/2.15  tff(f19603,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : list(vEBT_VEBT),X3 : nat,X4 : nat] : (~X0 = X1 => (iG1051(X0,X1,X2,X3,X4) <=> (! [X5 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X4))) => (vEBT_V5917875025757280293ildren(X3,X2,X5) => (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X5),X0)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X5))))) & vEBT_V5917875025757280293ildren(X3,X2,X0)))) & ! [X6 : nat,X7 : nat,X8 : list(vEBT_VEBT),X9 : nat,X10 : nat] : (X6 = X7 => (iG1051(X6,X7,X8,X9,X10) <=> ! [X11 : vEBT_VEBT] : (member(vEBT_VEBT,X11,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X8)) => ~? [X12 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X11),X12)))))),
% 8.48/2.15    inference(rectify,[],[f19430])).
% 8.48/2.15  tff(f19430,plain,(
% 8.48/2.15    ! [X6 : nat,X5 : nat,X1 : list(vEBT_VEBT),X3 : nat,X0 : nat] : (~X5 = X6 => (iG1051(X6,X5,X1,X3,X0) <=> (! [X9 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X9),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X0))) => (vEBT_V5917875025757280293ildren(X3,X1,X9) => (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X9),X6)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),X9))))) & vEBT_V5917875025757280293ildren(X3,X1,X6)))) & ! [X6 : nat,X5 : nat,X1 : list(vEBT_VEBT),X3 : nat,X0 : nat] : (X5 = X6 => (iG1051(X6,X5,X1,X3,X0) <=> ! [X7 : vEBT_VEBT] : (member(vEBT_VEBT,X7,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X1)) => ~? [X8 : nat] : ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(X7),X8)))))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG1051])])).
% 8.48/2.15  tff(f61089,plain,(
% 8.48/2.15    ( ! [X8 : nat,X6 : nat,X9 : nat,X7 : list(vEBT_VEBT)] : (iG1051(X6,X6,X7,X8,X9) | member(vEBT_VEBT,sK1666(X7),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X7))) )),
% 8.48/2.15    inference(equality_resolution,[],[f43665])).
% 8.48/2.15  tff(f43665,plain,(
% 8.48/2.15    ( ! [X8 : nat,X6 : nat,X9 : nat,X7 : list(vEBT_VEBT),X5 : nat] : (iG1051(X5,X6,X7,X8,X9) | member(vEBT_VEBT,sK1666(X7),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X7)) | X5 != X6) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36028])).
% 8.48/2.15  tff(f61088,plain,(
% 8.48/2.15    ( ! [X8 : nat,X6 : nat,X9 : nat,X7 : list(vEBT_VEBT)] : (iG1051(X6,X6,X7,X8,X9) | ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK1666(X7)),sK1667(X7)))) )),
% 8.48/2.15    inference(equality_resolution,[],[f43666])).
% 8.48/2.15  tff(f43666,plain,(
% 8.48/2.15    ( ! [X8 : nat,X6 : nat,X9 : nat,X7 : list(vEBT_VEBT),X5 : nat] : (iG1051(X5,X6,X7,X8,X9) | ($true = aa(nat,$o,vEBT_V8194947554948674370ptions(sK1666(X7)),sK1667(X7))) | X5 != X6) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36028])).
% 8.48/2.15  tff(f43667,plain,(
% 8.48/2.15    ( ! [X2 : list(vEBT_VEBT),X3 : nat,X0 : nat,X1 : nat,X4 : nat] : (sP1079(X4,X3,X2,X1,X0) | X0 = X1) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36028])).
% 8.48/2.15  tff(f43658,plain,(
% 8.48/2.15    ( ! [X2 : list(vEBT_VEBT),X3 : nat,X0 : nat,X1 : nat,X4 : nat] : (vEBT_V5917875025757280293ildren(X3,X2,X0) | ~sP1078(X0,X1,X2,X3,X4)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36023])).
% 8.48/2.15  tff(f36023,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : list(vEBT_VEBT),X3 : nat,X4 : nat] : ((sP1078(X0,X1,X2,X3,X4) | ((($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),sK1665(X0,X1,X2,X3,X4)),X0)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),sK1665(X0,X1,X2,X3,X4)))) & vEBT_V5917875025757280293ildren(X3,X2,sK1665(X0,X1,X2,X3,X4)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK1665(X0,X1,X2,X3,X4)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X4)))) | ~vEBT_V5917875025757280293ildren(X3,X2,X0)) & ((! [X6 : nat] : ((($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X6),X0)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X6))) | ~vEBT_V5917875025757280293ildren(X3,X2,X6) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X4)))) & vEBT_V5917875025757280293ildren(X3,X2,X0)) | ~sP1078(X0,X1,X2,X3,X4)))),
% 8.48/2.15    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1665])],[f36021,f36022])).
% 8.48/2.15  tff(f36022,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : list(vEBT_VEBT),X3 : nat,X4 : nat] : (? [X5 : nat] : ((($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X5),X0)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X5))) & vEBT_V5917875025757280293ildren(X3,X2,X5) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X4)))) => ((($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),sK1665(X0,X1,X2,X3,X4)),X0)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),sK1665(X0,X1,X2,X3,X4)))) & vEBT_V5917875025757280293ildren(X3,X2,sK1665(X0,X1,X2,X3,X4)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK1665(X0,X1,X2,X3,X4)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X4)))))),
% 8.48/2.15    introduced(choice_axiom,[])).
% 8.48/2.15  tff(f36021,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : list(vEBT_VEBT),X3 : nat,X4 : nat] : ((sP1078(X0,X1,X2,X3,X4) | ? [X5 : nat] : ((($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X5),X0)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X5))) & vEBT_V5917875025757280293ildren(X3,X2,X5) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X4)))) | ~vEBT_V5917875025757280293ildren(X3,X2,X0)) & ((! [X6 : nat] : ((($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X6),X0)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X6))) | ~vEBT_V5917875025757280293ildren(X3,X2,X6) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X4)))) & vEBT_V5917875025757280293ildren(X3,X2,X0)) | ~sP1078(X0,X1,X2,X3,X4)))),
% 8.48/2.15    inference(rectify,[],[f36020])).
% 8.48/2.15  tff(f36020,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : list(vEBT_VEBT),X3 : nat,X4 : nat] : ((sP1078(X0,X1,X2,X3,X4) | ? [X5 : nat] : ((($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X5),X0)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X5))) & vEBT_V5917875025757280293ildren(X3,X2,X5) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X4)))) | ~vEBT_V5917875025757280293ildren(X3,X2,X0)) & ((! [X5 : nat] : ((($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X5),X0)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X5))) | ~vEBT_V5917875025757280293ildren(X3,X2,X5) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X4)))) & vEBT_V5917875025757280293ildren(X3,X2,X0)) | ~sP1078(X0,X1,X2,X3,X4)))),
% 8.48/2.15    inference(flattening,[],[f36019])).
% 8.48/2.15  tff(f36019,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : list(vEBT_VEBT),X3 : nat,X4 : nat] : ((sP1078(X0,X1,X2,X3,X4) | (? [X5 : nat] : ((($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X5),X0)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X5))) & vEBT_V5917875025757280293ildren(X3,X2,X5) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X4)))) | ~vEBT_V5917875025757280293ildren(X3,X2,X0))) & ((! [X5 : nat] : ((($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X5),X0)) & ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X5))) | ~vEBT_V5917875025757280293ildren(X3,X2,X5) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X4)))) & vEBT_V5917875025757280293ildren(X3,X2,X0)) | ~sP1078(X0,X1,X2,X3,X4)))),
% 8.48/2.15    inference(nnf_transformation,[],[f35090])).
% 8.48/2.15  tff(f43659,plain,(
% 8.48/2.15    ( ! [X2 : list(vEBT_VEBT),X3 : nat,X0 : nat,X1 : nat,X6 : nat,X4 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),X6)) | ~vEBT_V5917875025757280293ildren(X3,X2,X6) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X4))) | ~sP1078(X0,X1,X2,X3,X4)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36023])).
% 8.48/2.15  tff(f43660,plain,(
% 8.48/2.15    ( ! [X2 : list(vEBT_VEBT),X3 : nat,X0 : nat,X1 : nat,X6 : nat,X4 : nat] : (($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),X6),X0)) | ~vEBT_V5917875025757280293ildren(X3,X2,X6) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X6),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X4))) | ~sP1078(X0,X1,X2,X3,X4)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36023])).
% 8.48/2.15  tff(f43661,plain,(
% 8.48/2.15    ( ! [X2 : list(vEBT_VEBT),X3 : nat,X0 : nat,X1 : nat,X4 : nat] : (sP1078(X0,X1,X2,X3,X4) | ($true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK1665(X0,X1,X2,X3,X4)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X4))) | ~vEBT_V5917875025757280293ildren(X3,X2,X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36023])).
% 8.48/2.15  tff(f43662,plain,(
% 8.48/2.15    ( ! [X2 : list(vEBT_VEBT),X3 : nat,X0 : nat,X1 : nat,X4 : nat] : (sP1078(X0,X1,X2,X3,X4) | vEBT_V5917875025757280293ildren(X3,X2,sK1665(X0,X1,X2,X3,X4)) | ~vEBT_V5917875025757280293ildren(X3,X2,X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36023])).
% 8.48/2.15  tff(f43663,plain,(
% 8.48/2.15    ( ! [X2 : list(vEBT_VEBT),X3 : nat,X0 : nat,X1 : nat,X4 : nat] : (sP1078(X0,X1,X2,X3,X4) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),sK1665(X0,X1,X2,X3,X4)),X0)) | ($true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X1),sK1665(X0,X1,X2,X3,X4))) | ~vEBT_V5917875025757280293ildren(X3,X2,X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36023])).
% 8.48/2.15  tff(f43656,plain,(
% 8.48/2.15    ( ! [X2 : list(vEBT_VEBT),X3 : nat,X0 : nat,X1 : nat,X4 : nat] : (sP1078(X4,X3,X2,X1,X0) | ~iG1051(X4,X3,X2,X1,X0) | ~sP1079(X0,X1,X2,X3,X4)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36018])).
% 8.48/2.15  tff(f36018,plain,(
% 8.48/2.15    ! [X0 : nat,X1 : nat,X2 : list(vEBT_VEBT),X3 : nat,X4 : nat] : (((iG1051(X4,X3,X2,X1,X0) | ~sP1078(X4,X3,X2,X1,X0)) & (sP1078(X4,X3,X2,X1,X0) | ~iG1051(X4,X3,X2,X1,X0))) | ~sP1079(X0,X1,X2,X3,X4))),
% 8.48/2.15    inference(rectify,[],[f36017])).
% 8.48/2.15  tff(f36017,plain,(
% 8.48/2.15    ! [X4 : nat,X3 : nat,X2 : list(vEBT_VEBT),X1 : nat,X0 : nat] : (((iG1051(X0,X1,X2,X3,X4) | ~sP1078(X0,X1,X2,X3,X4)) & (sP1078(X0,X1,X2,X3,X4) | ~iG1051(X0,X1,X2,X3,X4))) | ~sP1079(X4,X3,X2,X1,X0))),
% 8.48/2.15    inference(nnf_transformation,[],[f35091])).
% 8.48/2.15  tff(f43657,plain,(
% 8.48/2.15    ( ! [X2 : list(vEBT_VEBT),X3 : nat,X0 : nat,X1 : nat,X4 : nat] : (iG1051(X4,X3,X2,X1,X0) | ~sP1078(X4,X3,X2,X1,X0) | ~sP1079(X0,X1,X2,X3,X4)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36018])).
% 8.48/2.15  tff(f61087,plain,(
% 8.48/2.15    ( ! [X12 : $tType,X9 : $tType,X8 : $tType,X11 : X12,X14 : X8,X15 : X9,X13 : set(product_prod(X9,X8))] : (aa(set(product_prod(X9,X8)),set(product_prod(X9,X8)),insert(product_prod(X9,X8),aa(X8,product_prod(X9,X8),aa(X9,fun(X8,product_prod(X9,X8)),product_Pair(X9,X8),X15),X14)),X13) = iG1052(X8,X9,X12,X11,X11,X13,X14,X15)) )),
% 8.48/2.15    inference(equality_resolution,[],[f43654])).
% 8.48/2.15  tff(f43654,plain,(
% 8.48/2.15    ( ! [X12 : $tType,X9 : $tType,X8 : $tType,X10 : X12,X11 : X12,X14 : X8,X15 : X9,X13 : set(product_prod(X9,X8))] : (aa(set(product_prod(X9,X8)),set(product_prod(X9,X8)),insert(product_prod(X9,X8),aa(X8,product_prod(X9,X8),aa(X9,fun(X8,product_prod(X9,X8)),product_Pair(X9,X8),X15),X14)),X13) = iG1052(X8,X9,X12,X10,X11,X13,X14,X15) | X10 != X11) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25840])).
% 8.48/2.15  tff(f25840,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : $tType,X2 : X4,X3 : X4,X4 : $tType,X5 : set(product_prod(X1,X0)),X6 : X0,X7 : X1] : (iG1052(X0,X1,X4,X2,X3,X5,X6,X7) = X5 | X2 = X3) & ! [X8 : $tType,X9 : $tType,X10 : X12,X11 : X12,X12 : $tType,X13 : set(product_prod(X9,X8)),X14 : X8,X15 : X9] : (aa(set(product_prod(X9,X8)),set(product_prod(X9,X8)),insert(product_prod(X9,X8),aa(X8,product_prod(X9,X8),aa(X9,fun(X8,product_prod(X9,X8)),product_Pair(X9,X8),X15),X14)),X13) = iG1052(X8,X9,X12,X10,X11,X13,X14,X15) | X10 != X11)),
% 8.48/2.15    inference(ennf_transformation,[],[f19602])).
% 8.48/2.15  tff(f19602,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : $tType,X2 : X4,X3 : X4,X4 : $tType,X5 : set(product_prod(X1,X0)),X6 : X0,X7 : X1] : (X2 != X3 => iG1052(X0,X1,X4,X2,X3,X5,X6,X7) = X5) & ! [X8 : $tType,X9 : $tType,X10 : X12,X11 : X12,X12 : $tType,X13 : set(product_prod(X9,X8)),X14 : X8,X15 : X9] : (X10 = X11 => aa(set(product_prod(X9,X8)),set(product_prod(X9,X8)),insert(product_prod(X9,X8),aa(X8,product_prod(X9,X8),aa(X9,fun(X8,product_prod(X9,X8)),product_Pair(X9,X8),X15),X14)),X13) = iG1052(X8,X9,X12,X10,X11,X13,X14,X15))),
% 8.48/2.15    inference(flattening,[],[f19601])).
% 8.48/2.15  tff(f19601,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : $tType,X2 : X4,X3 : X4,X4 : $tType,X5 : set(product_prod(X1,X0)),X6 : X0,X7 : X1] : (~X2 = X3 => iG1052(X0,X1,X4,X2,X3,X5,X6,X7) = X5) & ! [X8 : $tType,X9 : $tType,X10 : X12,X11 : X12,X12 : $tType,X13 : set(product_prod(X9,X8)),X14 : X8,X15 : X9] : (X10 = X11 => aa(set(product_prod(X9,X8)),set(product_prod(X9,X8)),insert(product_prod(X9,X8),aa(X8,product_prod(X9,X8),aa(X9,fun(X8,product_prod(X9,X8)),product_Pair(X9,X8),X15),X14)),X13) = iG1052(X8,X9,X12,X10,X11,X13,X14,X15))),
% 8.48/2.15    inference(rectify,[],[f19433])).
% 8.48/2.15  tff(f19433,plain,(
% 8.48/2.15    ! [X1 : $tType,X2 : $tType,X5 : X0,X4 : X0,X0 : $tType,X7 : set(product_prod(X2,X1)),X6 : X1,X3 : X2] : (~X4 = X5 => iG1052(X1,X2,X0,X5,X4,X7,X6,X3) = X7) & ! [X1 : $tType,X2 : $tType,X5 : X0,X4 : X0,X0 : $tType,X7 : set(product_prod(X2,X1)),X6 : X1,X3 : X2] : (X4 = X5 => aa(set(product_prod(X2,X1)),set(product_prod(X2,X1)),insert(product_prod(X2,X1),aa(X1,product_prod(X2,X1),aa(X2,fun(X1,product_prod(X2,X1)),product_Pair(X2,X1),X3),X6)),X7) = iG1052(X1,X2,X0,X5,X4,X7,X6,X3))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG1052])])).
% 8.48/2.15  tff(f43655,plain,(
% 8.48/2.15    ( ! [X4 : $tType,X1 : $tType,X0 : $tType,X2 : X4,X3 : X4,X6 : X0,X7 : X1,X5 : set(product_prod(X1,X0))] : (iG1052(X0,X1,X4,X2,X3,X5,X6,X7) = X5 | X2 = X3) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25840])).
% 8.48/2.15  tff(f61086,plain,(
% 8.48/2.15    ( ! [X12 : $tType,X9 : $tType,X8 : $tType,X11 : X12,X14 : X8,X15 : X9,X13 : set(product_prod(X9,X8))] : (aa(set(product_prod(X9,X8)),set(product_prod(X9,X8)),insert(product_prod(X9,X8),aa(X8,product_prod(X9,X8),aa(X9,fun(X8,product_prod(X9,X8)),product_Pair(X9,X8),X15),X14)),X13) = iG1053(X8,X9,X12,X11,X11,X13,X14,X15)) )),
% 8.48/2.15    inference(equality_resolution,[],[f43652])).
% 8.48/2.15  tff(f43652,plain,(
% 8.48/2.15    ( ! [X12 : $tType,X9 : $tType,X8 : $tType,X10 : X12,X11 : X12,X14 : X8,X15 : X9,X13 : set(product_prod(X9,X8))] : (aa(set(product_prod(X9,X8)),set(product_prod(X9,X8)),insert(product_prod(X9,X8),aa(X8,product_prod(X9,X8),aa(X9,fun(X8,product_prod(X9,X8)),product_Pair(X9,X8),X15),X14)),X13) = iG1053(X8,X9,X12,X10,X11,X13,X14,X15) | X10 != X11) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25839])).
% 8.48/2.15  tff(f25839,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : $tType,X2 : X4,X3 : X4,X4 : $tType,X5 : set(product_prod(X1,X0)),X6 : X0,X7 : X1] : (iG1053(X0,X1,X4,X2,X3,X5,X6,X7) = X5 | X2 = X3) & ! [X8 : $tType,X9 : $tType,X10 : X12,X11 : X12,X12 : $tType,X13 : set(product_prod(X9,X8)),X14 : X8,X15 : X9] : (aa(set(product_prod(X9,X8)),set(product_prod(X9,X8)),insert(product_prod(X9,X8),aa(X8,product_prod(X9,X8),aa(X9,fun(X8,product_prod(X9,X8)),product_Pair(X9,X8),X15),X14)),X13) = iG1053(X8,X9,X12,X10,X11,X13,X14,X15) | X10 != X11)),
% 8.48/2.15    inference(ennf_transformation,[],[f19600])).
% 8.48/2.15  tff(f19600,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : $tType,X2 : X4,X3 : X4,X4 : $tType,X5 : set(product_prod(X1,X0)),X6 : X0,X7 : X1] : (X2 != X3 => iG1053(X0,X1,X4,X2,X3,X5,X6,X7) = X5) & ! [X8 : $tType,X9 : $tType,X10 : X12,X11 : X12,X12 : $tType,X13 : set(product_prod(X9,X8)),X14 : X8,X15 : X9] : (X10 = X11 => aa(set(product_prod(X9,X8)),set(product_prod(X9,X8)),insert(product_prod(X9,X8),aa(X8,product_prod(X9,X8),aa(X9,fun(X8,product_prod(X9,X8)),product_Pair(X9,X8),X15),X14)),X13) = iG1053(X8,X9,X12,X10,X11,X13,X14,X15))),
% 8.48/2.15    inference(flattening,[],[f19599])).
% 8.48/2.15  tff(f19599,plain,(
% 8.48/2.15    ! [X0 : $tType,X1 : $tType,X2 : X4,X3 : X4,X4 : $tType,X5 : set(product_prod(X1,X0)),X6 : X0,X7 : X1] : (~X2 = X3 => iG1053(X0,X1,X4,X2,X3,X5,X6,X7) = X5) & ! [X8 : $tType,X9 : $tType,X10 : X12,X11 : X12,X12 : $tType,X13 : set(product_prod(X9,X8)),X14 : X8,X15 : X9] : (X10 = X11 => aa(set(product_prod(X9,X8)),set(product_prod(X9,X8)),insert(product_prod(X9,X8),aa(X8,product_prod(X9,X8),aa(X9,fun(X8,product_prod(X9,X8)),product_Pair(X9,X8),X15),X14)),X13) = iG1053(X8,X9,X12,X10,X11,X13,X14,X15))),
% 8.48/2.15    inference(rectify,[],[f19436])).
% 8.48/2.15  tff(f19436,plain,(
% 8.48/2.15    ! [X1 : $tType,X2 : $tType,X5 : X0,X4 : X0,X0 : $tType,X7 : set(product_prod(X2,X1)),X6 : X1,X3 : X2] : (~X4 = X5 => iG1053(X1,X2,X0,X5,X4,X7,X6,X3) = X7) & ! [X1 : $tType,X2 : $tType,X5 : X0,X4 : X0,X0 : $tType,X7 : set(product_prod(X2,X1)),X6 : X1,X3 : X2] : (X4 = X5 => aa(set(product_prod(X2,X1)),set(product_prod(X2,X1)),insert(product_prod(X2,X1),aa(X1,product_prod(X2,X1),aa(X2,fun(X1,product_prod(X2,X1)),product_Pair(X2,X1),X3),X6)),X7) = iG1053(X1,X2,X0,X5,X4,X7,X6,X3))),
% 8.48/2.15    introduced(fool_ite_definition,[new_symbols(definition,[iG1053])])).
% 8.48/2.15  tff(f43653,plain,(
% 8.48/2.15    ( ! [X4 : $tType,X1 : $tType,X0 : $tType,X2 : X4,X3 : X4,X6 : X0,X7 : X1,X5 : set(product_prod(X1,X0))] : (iG1053(X0,X1,X4,X2,X3,X5,X6,X7) = X5 | X2 = X3) )),
% 8.48/2.15    inference(cnf_transformation,[],[f25839])).
% 8.48/2.15  tff(f61085,plain,(
% 8.48/2.15    ($true = bG1054($true))),
% 8.48/2.15    inference(equality_resolution,[],[f43650])).
% 8.48/2.15  tff(f43650,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG1054(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36016])).
% 8.48/2.15  tff(f36016,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG1054(X0))) & (($true = bG1054(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f19439])).
% 8.48/2.15  tff(f19439,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG1054(X0)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG1054])])).
% 8.48/2.15  tff(f43651,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG1054(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36016])).
% 8.48/2.15  tff(f61084,plain,(
% 8.48/2.15    ($true = bG1055($true))),
% 8.48/2.15    inference(equality_resolution,[],[f43648])).
% 8.48/2.15  tff(f43648,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG1055(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36015])).
% 8.48/2.15  tff(f36015,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG1055(X0))) & (($true = bG1055(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f19598])).
% 8.48/2.15  tff(f19598,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG1055(X0)))),
% 8.48/2.15    inference(rectify,[],[f19440])).
% 8.48/2.15  tff(f19440,plain,(
% 8.48/2.15    ! [X1 : $o] : (($true = X1) <=> ($true = bG1055(X1)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG1055])])).
% 8.48/2.15  tff(f43649,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG1055(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36015])).
% 8.48/2.15  tff(f61083,plain,(
% 8.48/2.15    ($true = bG1056($true))),
% 8.48/2.15    inference(equality_resolution,[],[f43646])).
% 8.48/2.15  tff(f43646,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG1056(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36014])).
% 8.48/2.15  tff(f36014,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG1056(X0))) & (($true = bG1056(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f19597])).
% 8.48/2.15  tff(f19597,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG1056(X0)))),
% 8.48/2.15    inference(rectify,[],[f19441])).
% 8.48/2.15  tff(f19441,plain,(
% 8.48/2.15    ! [X2 : $o] : (($true = X2) <=> ($true = bG1056(X2)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG1056])])).
% 8.48/2.15  tff(f43647,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG1056(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36014])).
% 8.48/2.15  tff(f61082,plain,(
% 8.48/2.15    ($true = bG1057($true))),
% 8.48/2.15    inference(equality_resolution,[],[f43644])).
% 8.48/2.15  tff(f43644,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG1057(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36013])).
% 8.48/2.15  tff(f36013,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG1057(X0))) & (($true = bG1057(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f19596])).
% 8.48/2.15  tff(f19596,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG1057(X0)))),
% 8.48/2.15    inference(rectify,[],[f19442])).
% 8.48/2.15  tff(f19442,plain,(
% 8.48/2.15    ! [X3 : $o] : (($true = X3) <=> ($true = bG1057(X3)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG1057])])).
% 8.48/2.15  tff(f43645,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG1057(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36013])).
% 8.48/2.15  tff(f61081,plain,(
% 8.48/2.15    ($true = bG1058($true))),
% 8.48/2.15    inference(equality_resolution,[],[f43642])).
% 8.48/2.15  tff(f43642,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG1058(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36012])).
% 8.48/2.15  tff(f36012,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG1058(X0))) & (($true = bG1058(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f19595])).
% 8.48/2.15  tff(f19595,plain,(
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% 8.48/2.15    inference(rectify,[],[f19443])).
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% 8.48/2.15    ( ! [X0 : $o] : (($true = bG1059(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36011])).
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% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG1059(X0)))),
% 8.48/2.15    inference(rectify,[],[f19444])).
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% 8.48/2.15    ( ! [X0 : $o] : (($true = bG1060(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36010])).
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% 8.48/2.15    ( ! [X0 : $o] : (($true = bG1061(X0)) | ($true != X0)) )),
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% 8.48/2.15    ( ! [X0 : $o] : (($true = bG1062(X0)) | ($true != X0)) )),
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% 8.48/2.15    inference(nnf_transformation,[],[f19591])).
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% 8.48/2.15    ( ! [X0 : $o] : (($true = bG1063(X0)) | ($true != X0)) )),
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% 8.48/2.15    inference(nnf_transformation,[],[f19590])).
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% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG1063(X0))) )),
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% 8.48/2.15    ( ! [X0 : $o] : (($true = bG1064(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36006])).
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% 8.48/2.15    ( ! [X0 : $o] : (($true = bG1065(X0)) | ($true != X0)) )),
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% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG1065(X0))) )),
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% 8.48/2.15    ( ! [X0 : $o] : (($true = bG1066(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f36004])).
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% 8.48/2.15  tff(f43610,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG1074(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f35996])).
% 8.48/2.15  tff(f35996,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG1074(X0))) & (($true = bG1074(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f19581])).
% 8.48/2.15  tff(f19581,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG1074(X0)))),
% 8.48/2.15    inference(rectify,[],[f19461])).
% 8.48/2.15  tff(f19461,plain,(
% 8.48/2.15    ! [X4 : $o] : (($true = X4) <=> ($true = bG1074(X4)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG1074])])).
% 8.48/2.15  tff(f43611,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG1074(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f35996])).
% 8.48/2.15  tff(f61064,plain,(
% 8.48/2.15    ($true = bG1075($true))),
% 8.48/2.15    inference(equality_resolution,[],[f43608])).
% 8.48/2.15  tff(f43608,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG1075(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f35995])).
% 8.48/2.15  tff(f35995,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG1075(X0))) & (($true = bG1075(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f19580])).
% 8.48/2.15  tff(f19580,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG1075(X0)))),
% 8.48/2.15    inference(rectify,[],[f19462])).
% 8.48/2.15  tff(f19462,plain,(
% 8.48/2.15    ! [X5 : $o] : (($true = X5) <=> ($true = bG1075(X5)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG1075])])).
% 8.48/2.15  tff(f43609,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG1075(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f35995])).
% 8.48/2.15  tff(f61063,plain,(
% 8.48/2.15    ($true = bG1076($true))),
% 8.48/2.15    inference(equality_resolution,[],[f43606])).
% 8.48/2.15  tff(f43606,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG1076(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f35994])).
% 8.48/2.15  tff(f35994,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG1076(X0))) & (($true = bG1076(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f19579])).
% 8.48/2.15  tff(f19579,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG1076(X0)))),
% 8.48/2.15    inference(rectify,[],[f19463])).
% 8.48/2.15  tff(f19463,plain,(
% 8.48/2.15    ! [X6 : $o] : (($true = X6) <=> ($true = bG1076(X6)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG1076])])).
% 8.48/2.15  tff(f43607,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG1076(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f35994])).
% 8.48/2.15  tff(f61062,plain,(
% 8.48/2.15    ($true = bG1077($true))),
% 8.48/2.15    inference(equality_resolution,[],[f43604])).
% 8.48/2.15  tff(f43604,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = bG1077(X0)) | ($true != X0)) )),
% 8.48/2.15    inference(cnf_transformation,[],[f35993])).
% 8.48/2.15  tff(f35993,plain,(
% 8.48/2.15    ! [X0 : $o] : ((($true = X0) | ($true != bG1077(X0))) & (($true = bG1077(X0)) | ($true != X0)))),
% 8.48/2.15    inference(nnf_transformation,[],[f19578])).
% 8.48/2.15  tff(f19578,plain,(
% 8.48/2.15    ! [X0 : $o] : (($true = X0) <=> ($true = bG1077(X0)))),
% 8.48/2.15    inference(rectify,[],[f19464])).
% 8.48/2.15  tff(f19464,plain,(
% 8.48/2.15    ! [X7 : $o] : (($true = X7) <=> ($true = bG1077(X7)))),
% 8.48/2.15    introduced(fool_formula_definition,[new_symbols(definition,[bG1077])])).
% 8.48/2.15  tff(f43605,plain,(
% 8.48/2.15    ( ! [X0 : $o] : (($true = X0) | ($true != bG1077(X0))) )),
% 8.48/2.15    inference(cnf_transformation,[],[f35993])).
% 8.48/2.15  % SZS output end Proof for theBenchmark
% 8.48/2.15  % (2623)------------------------------
% 8.48/2.15  % (2623)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 8.48/2.15  % (2623)Termination reason: Refutation
% 8.48/2.15  
% 8.48/2.15  % (2623)Memory used [KB]: 46709
% 8.48/2.15  % (2623)Time elapsed: 1.103 s
% 8.48/2.15  % (2623)Instructions burned: 4043 (million)
% 8.48/2.15  % (2620)Success in time 1.833 s
%------------------------------------------------------------------------------